ONTOGENETIC AND STRATIGRAPHIC CRANIAL VARIATION IN THE CERATOPSID DINOSAUR TRICERATOPS FROM THE HELL CREEK FORMATION, MONTANA by John Benedetto Scannella A dissertation submitted in partial fulfillment of the requirements for the degree of Doctor of Philosophy in Earth Sciences MONTANA STATE UNIVERSITY Bozeman, Montana April 2015    ©COPYRIGHT by John Benedetto Scannella 2015 All Rights Reserved ii ACKNOWLEDGEMENTS Funding for this research was provided by grants from the Doris O. and Samuel P. Welles Research Fund of the University of California Museum of Paleontology, the Theodore Roosevelt Memorial Fund of the American Museum of Natural History, the Fritz Travel Grant of the Royal Ontario Museum, the Jurassic Foundation, and the Evolving Earth Foundation. Funding for travel to conferences was provided by the North American Paleontological Convention Student Travel Grant, the Society of Vertebrate Paleontology Jackson School of Geosciences Student Member Travel Grant, and the MSU Letters and Science Student Travel Grant. Many thanks also to Dr. Jack Horner, the Museum of the Rockies, the Sands Brothers, and Gerry Ohrstrom for graduate student funding and support. I thank my committee members Dr. Jack Horner, Dr. David Varricchio, Dr. David Roberts, Dr. Mark Goodwin and my graduate representative, Dr. Brendan Mumey, for their support and guidance. Thanks to all the curators, collections managers, graduate students, and volunteers who have permitted me to access their museum collections and displays. I thank my fellow MSU students, the staff and volunteers at the MOR, the MSU Earth Sciences Department, and the many friends I have made through SVP for exciting discussions and help along the way. I thank my parents, Ben and Mae Scannella, for taking me to the AMNH so many times when I was little. Thanks also to Angela Scannella, Regina Johnson, Preston Stewart, P.J. Stewart, and to Fred and Linda Baker. Special thanks to my sister, Christine Stewart, for taking me to the library and helping me take out books about dinosaurs when I was three. Finally, I thank my wife, Kari Scannella, for her love and support throughout the completion of this dissertation. iii TABLE OF CONTENTS 1. INTRODUCTION TO DISSERTATION .......................................................................1 A Brief Review of Early Studies of Ontogeny ...............................................................2 A Brief Survey of Studies of Dinosaur Cranial Ontogeny .............................................4 A Brief History of Triceratops Systematics .................................................................12 Triceratops Ontogeny ...................................................................................................15 Variation in Stratigraphic Context ................................................................................16 Summary of Dissertation ..............................................................................................18 Literature Cited .............................................................................................................23 2. TOROSAURUS MARSH, 1891 IS TRICERATOPS MARSH, 1889 (CERATOPSIDAE: CHASMOSAURINAE): SYNONYMY THROUGH ONTOGENY .....................................................................32 Contribution of Author and Co-Authors ........................................................................32 Manuscript Information Page ........................................................................................33 Abstract ..........................................................................................................................34 Introduction ....................................................................................................................34 Institutional Abbreviations .....................................................................................35 Materials and Methods ..................................................................................................36 Results ...........................................................................................................................37 Ontogenetic Development of Parietal Fenestrae ...................................................37 Squamosal Elongation ...........................................................................................39 The Ontogenetic Spectrum of Triceratops ............................................................40 Epiparietal and Episquamosal Variation ................................................................43 Osteohistology: a Test of Ontogenetic Hypotheses ...............................................45 Discussion ......................................................................................................................46 Ontogenetic Variation .............................................................................................46 Alternative Hypotheses ...........................................................................................47 Implications for Dinosaur Diversity ......................................................................49 Systematic Paleontology................... .............................................................................49 Revised Diagnosis ......................................................................................49 Valid Species .............................................................................................50 Locality and Horizon (YPM 1820) ............................................................50 Synonyms ...................................................................................................51 "Torosaurus" utahensis Gilmore, 1946 .....................................................51 Remarks .....................................................................................................51 Conclusions ....................................................................................................................52 Acknowledgments..........................................................................................................53 Appendix 2.1: Sample of Triceratops Cranial Material Collected by MOR .........65 Literature Cited ..............................................................................................................67 iv TABLE OF CONTENTS – CONTINUED 3. 'NEDOCERATOPS': AN EXAMPLE OF A TRANSITIONAL MORPHOLOGY .............................................................................72 Contribution of Author and Co-Authors ........................................................................72 Manuscript Information Page ........................................................................................73 Abstract ..........................................................................................................................74 Background ..............................................................................................................74 Methodology/Principal Findings ..............................................................................74 Conclusions/Significance ..........................................................................................75 Introduction ....................................................................................................................75 Institutional Abbreviations ......................................................................................78 Results ...........................................................................................................................79 Reassessment of USNM 2412 ................................................................................79 Nasal and Nasal Horn ................................................................................79 Postorbital Horn Cores ...............................................................................80 Parietal Fenestrae .......................................................................................81 Squamosal Morphology .............................................................................81 Episquamosal Number ...............................................................................82 Discussion ......................................................................................................................83 Taxonomic Status of 'Nedoceratops hatcheri' ........................................................83 Taxonomic Status of 'Torosaurus latus' .................................................................84 Variation in Epiossification Number and Position ....................................84 The parietal of USNM 2412 as Intermediate between Triceratops and 'Torosaurus' .....................................................................88 Juvenile 'Torosaurus latus' ........................................................................91 Transitional Morphologies and Dinosaur Systematics ...........................................93 Conclusions ....................................................................................................................94 Materials and Methods ...................................................................................................96 Acknowledgements ........................................................................................................96 References ....................................................................................................................106 4. A STRATIGRAPHIC SURVEY OF TRICERATOPS LOCALITIES IN THE HELL CREEK FORMATION, NORTHEASTERN MONTANA (2006-2010) ..........................................................111 Contribution of Author and Co-Authors ......................................................................111 Manuscript Information Page ......................................................................................112 Abstract ........................................................................................................................113 Introduction ..................................................................................................................113 Institutional Abbreviations ...................................................................................116 Materials and Methods .................................................................................................117 Triceratops Localities ...................................................................................................118 v TABLE OF CONTENTS - CONTINUED UCMP Locality V88001 (High Ceratopsian): UCMP Specimen 137263 ...........118 UCMP Locality V83224 (Dave's Nose): UCMP Specimen 128561 ...................119 UCMP Locality V88081 (Russell Basin Triceratops): UCMP Specimen 136092 ....................................................................................120 UCMP Locality V75046 (Ruben's Triceratops): UCMP Specimen 113697 ....................................................................................121 MOR Locality HC-135 (MORT): MOR Specimen 004 ......................................122 MOR Locality HC-425 (Afternoon Delight): MOR Specimen 2569 ..................122 MOR Locality HC-531 (Lauren's Trike): MOR Specimen 2938 ........................123 MOR Locality HC-520 (Joe's Half Day Trike): MOR Specimen 2923 ..............123 MOR Locality HC-702 (JD Trike12): MOR Specimen 3056 and MOR Locality HC-541 (JD Trike14): MOR Specimen 2950 .............................124 MOR Locality HC-426 (Mark's Scavenged Trike): MOR Specimen 2570 and MOR Locality HC-639 (Anky Breaky Heart): MOR Specimen 3011 ...........................................................................................125 MOR Locality HC-430 (Quittin' Time): MOR Specimens 2574 and 2702 ......................................................................................................126 MOR Locality HC-521 (Lon's Trike): MOR Specimen 2924 .............................126 MOR Locality HC-571 (Seth's Trike): MOR Specimen 2979 and MOR Locality HC-543 (TriSarahTops): MOR Specimen 2980 ..........................127 MOR Locality HC-544 (DFJuvieTrike3): MOR Specimen 2951 and MOR Locality HC-627 (Situ But Sad): MOR Specimen 2999 ...........................127 MOR Locality HC-565 (Supernasal): MOR Specimen 2972 and MOR Locality HC-628 (Ashes Trike): MOR Specimen 3000 ............................128 MOR Locality HC-573 (Three Amigos): MOR Specimen 2982 and MOR Locality HC-576 (Six O'Clock Trike): MOR Specimen 2985 ..................129 MOR Locality HC-532 (Ducky Tail): MOR Specimen 6648 .............................130 MOR Locality HC-638 (Golden Goose): MOR Specimen 3010 .........................131 MOR Locality HC-668 (Yoshi's Trike: MOR Specimen 3027 and MOR Locality HC-682 (Cliffhanger): MOR Specimen 3045 .............................131 MOR Locality HC-716 (Little Horny Devil): MOR Specimen 3064 ..................132 Discussion and Conclusions ........................................................................................132 Acknowledgments........................................................................................................134 Appendix 4.1: Catalogued MOR Specimens of Triceratops ...............................152 References Cited ..........................................................................................................159 5. EVOUTIONARY TRENDS IN TRICERATOPS FROM THE HELL CREEK FORMATION, MONTANA ..............................................................164 Contribution of Author and Co-Authors ......................................................................164 Manuscript Information Page ......................................................................................165 vi TABLE OF CONTENTS - CONTINUED Abstract ........................................................................................................................166 Significance Statement.................................................................................................166 Introduction ..................................................................................................................167 Results .........................................................................................................................168 L3 Triceratops ......................................................................................................169 M3 Triceratops .....................................................................................................169 U3 Triceratops ......................................................................................................170 Shifts in Morphology over Time...........................................................................171 Cladistic and Stratocladistic Analyses ..................................................................172 Discussion ....................................................................................................................174 Evolutionary Patterns ............................................................................................174 A Biogeographic Signal? ......................................................................................177 Anagenesis and Cladogenesis ...............................................................................177 Conclusions ..................................................................................................................179 Materials and Methods .................................................................................................179 Acknowledgments........................................................................................................181 References ....................................................................................................................187 6. A MORPHOMETRIC ANALYSIS OF CASQUE DEVELOPMENT AND VARIATION IN THE BLACK-CASQUED HORNBILL (CERATOGYMNA ATRATA) .......................................................................................192 Contribution of Author and Co-Authors ......................................................................192 Manuscript Information Page ......................................................................................193 Abstract ........................................................................................................................194 Introduction ................................................................................................................195 Ceratogymna atrata: the Black-casqued Hornbill ...............................................197 Materials and Methods .................................................................................................198 Results ..........................................................................................................................200 Relative Growth ...................................................................................................200 Multivariate Analyses ..........................................................................................201 Discussion ....................................................................................................................204 Implications for Casque Function ........................................................................206 Conclusions ..................................................................................................................210 Acknowledgments........................................................................................................210 Literature Cited ............................................................................................................218 7. A MORPHOMETRIC ANALYSIS OF TRENDS IN CRANIAL MORPHOLOGY IN TRICERATOPS AND "TOROSAURUS" FROM THE HELL CREEK FORMATION, MONTANA ..............................................................223 Contribution of Author and Co-Authors ......................................................................223 Manuscript Information Page ......................................................................................224 vii TABLE OF CONTENTS – CONTINUED Abstract ........................................................................................................................225 Introduction ................................................................................................................226 Institutional Abbreviations ...........................................................................................229 Methods .......................................................................................................................230 Results .........................................................................................................................236 Relative Growth ..................................................................................................236 Multivariate Analyses .........................................................................................237 Geometric Morphometric Analyses ....................................................................239 Epinasal ...............................................................................................................242 Postorbital Horn Cores ........................................................................................243 Squamosal ...........................................................................................................244 Parietal ...............................................................................................................245 Nasal ...............................................................................................................246 Nasal Process of the Premaxilla (NPP) ...............................................................247 Fisher's Exact Tests .............................................................................................248 Discussion ....................................................................................................................249 Stratigraphic Trends ............................................................................................249 Ontogenetic trends and the Synonymy of Triceratops and "Torosaurus" ................................................................................................252 Conclusions ..................................................................................................................260 Acknowledgments........................................................................................................261 Literature Cited ............................................................................................................277 8. CONCLUSIONS..........................................................................................................282 Literature Cited ............................................................................................................286 REFERENCES CITED ....................................................................................................287 APPENDICES .................................................................................................................312 APPENDIX A: Supplementary Information for Chapter 5 (SI Text, Figures 5.S1 through 5.S7, Supporting Material References, and Dataset 5.S1) ...........................................................312 APPENDIX B: Supplementary Information for Chapter 6 (Appendices 6.1 through 6.6).............................................................364 APPENDIX C: Supplementary Information for Chapter 7 (Appendices 7.1 through 7.28)...........................................................422 viii LIST OF TABLES Table Page 2.1. Ontogenetic trends expressed in the parietal-squamosal frill of Triceratops ...........................................................................................63 2.2. Growth stages of Triceratops (modified from Horner and Goodwin, 2006)........................................................................................64 6.1 MANOVA results ..........................................................................................217 ix LIST OF FIGURES Figure Page 2.1. Development of thin regions of the parietal throughout Triceratops ontogeny ...................................................................55 2.2. Triceratops parietal fragment, MOR 2946, showing the histology of the ventral erosion surface ....................................................56 2.3. Ontogenetic elongation of the squamosals in Triceratops ..............................57 2.4. Squamosal elongation in Triceratops .............................................................58 2.5. Comparison of AMNH 5116 to "Torosaurus latus" specimens .....................59 2.6. The parietal of Triceratops specimen MOR 2923 ..........................................70 2.7. Osteohistology of an ontogenetic sequence of Triceratops postobrial horn cores .......................................................................................61 2.8. The dorsoventrally flattened epoccipitals of "Torosaurus" specimen ANSP 15192 reveal ontogenetic maturity ......................................62 3.1. USNM 2412, the holotype and only specimen of 'Nedoceratops hatcheri'...................................................................................98 3.2. Nasal horn variation in Triceratops ................................................................99 3.3. Ventral view of the right half of the parietal of USNM 2412 .......................100 3.4. Dorsal view of the parietal fenestra of USNM 2412 ....................................101 3.5. Lateral views of USNM 1201 and USNM 2412 ...........................................102 3.6. Episquamosal of MOR 2975 .........................................................................103 3.7. Ventral view of the parietal of MOR 1122 ...................................................104 3.8. Osteohistology of the postorbital horn core of MOR 981 ............................105 x LIST OF FIGURES – CONTINUED Figure Page 4.1. Collection areas for specimens of Triceratops discussed in the text, south Fort Peck Lake in Garfield and McCone Counties, Montana .....136 4.2. Relative positions of Triceratops localities discussed in the text superimposed on a generalized section .........................................................137 4.3. The Russell Basin Triceratops (UCMP 136092) ..........................................138 4.4. Relocating the Russell Basin Triceratops quarry (University of California Museum of Paleontology [UCMP] locality V88081) ...........................................................................................139 4.5. Ruben's Triceratops (University of California Museum of Paleontology [UCMP] locality V75046) ......................................................140 4.6. Museum of the Rockies (MOR) Triceratops (MORT; MOR 004), jacketed and awaiting collection in 1981 ......................................................141 4.7. Correlation of measured sections and Museum of the Rockies (MOR) Triceratops localities, ~4.5 km across the Short Creek area (Garfield, county, Fig. 4.1, locality 6) from northwest to southeast....................................................................................................142 4.8. Joe's Half Day Trike (Museum of the Rockies [MOR] locality HC-520) ...........................................................................................143 4.9. Fowler discovers JDTrike12 (Museum of the Rockies [MOR] specimen 3056) eroding from a gray mudstone stratigraphically high n the upper unit of the Hell Creek Formation .......................................144 4.10. JDTrike14 (Museum of the Rockies [MOR] locality HC-541) ..................145 4.11. Correlation of measured sections and Museum of the Rockies (MOR) Triceratops localities ~2.5 km across Lost Creek Bay area (Garfield County, Fig. 4.1, locality 5) from north to south .......................................146 xi LIST OF FIGURES – CONTINUED Figure Page 4.12. Museum of the Rockies (MOR) locality HC-571 plotted on measured section, Brownie Butte (Garfield County; Fig. 4.1, locality 1). ..................................................................................................147 4.13. Seth's Trike (Museum of the Rockies [MOR] locality HC-571) ................148 4.14. DFJuvieTrike3 (Museum of the Rockies [MOR] locality HC-544) ...........149 4.15. Correlation of measured sections and Museum of the Rockies Triceratops localities across ~6.5 km of the Pennick Coulee area (Garfield County, Fig. 1, locality 3) from northwest to southeast ..............150 4.16. Yoshi's Trike (Museum of the Rockies [MOR] locality HC-688) ..............151 5.1. Stratigraphic placement of HCF Triceratops reveals trends in cranial morphology including elongation of the epinasal and change in morphology of the rostrum .........................................................183 5.2. Stratigraphic variation in cranial morphology ..............................................184 5.3. Results of cladistic analysis of HCF Triceratops .........................................185 5.4. Potential patterns of HCF Triceratops evolution ..........................................186 6.1. Hornbill taxa included in this study ..............................................................211 6.2. Select measurements and landmarks ............................................................212 6.3. Hypothesized male C. atrata growth series ..................................................213 6.4. Standard major axis (SMA) regression results .............................................214 6.5. Results of linear and geometric morphometric (GM) principal component analysis .......................................................................................215 6.6. Results of UPGMA cluster analyses .............................................................216 7.1. Select measurements and landmarks ............................................................262 7.2. Standard major axis (SMA) regression results .............................................263 xii LIST OF FIGURES – CONTINUED Figure Page 7.3. Results of PCA and cluster analyses of linear dataset ..................................264 7.4. Results of PCA and cluster analyses of GM data for skulls in lateral view ....................................................................................................265 7.5. Mean GM shape data for the skull in lateral view ........................................266 7.6. Landmarks for GM analyses of individual bones .........................................267 7.7. PCA of GM shape data for epinasal and postorbital horn cores ...................268 7.8. Mean GM shape data for epinasals ...............................................................269 7.9. Mean GM shape data for postorbital horn cores ...........................................270 7.10. PCA of GM shape data for squamosals ......................................................271 7.11. Mean GM shape data for squamosals ........................................................272 7.12. PCA of GM shape data for the parietal, nasal, and nasal process of the premaxilla (NPP) .................................................................273 7.13. Mean GM shape data for nasals ..................................................................274 7.14. The epinasal morphology of MOR 981 ......................................................275 7.15. Morphology of the anteroventral process of the squamosal .......................276 xiii ABSTRACT Hypotheses regarding the taxonomy and systematics of non-avian dinosaurs are based on analyses of morphology. As such, it is critical to assess the potential roles of intraspecific variation in systematic interpretations. Ontogenetic (developmental) change has been found to be a potential contributor to taxonomic confusion in the fossil record of dinosaurs. Similarly, variation between specimens found at different stratigraphic levels should be assessed in order to decipher variation within and between closely related taxa. The chasmosaurine ceratopsid Triceratops has had a complicated taxonomic history due to variation in cranial morphology between specimens. Recent work in the uppermost Cretaceous Hell Creek Formation (HCF) has produced a large (n>50) new sample of specimens. Using this data set its possible to reassess variation in Triceratops and further explore chasmosaurine paleobiology. Building on previous work on Triceratops ontogeny, examination of the parietal-squamosal frill finds that these bones underwent a dramatic transformation late in ontogeny. The short, solid frill of Triceratops expanded into a more elongate, thin, fenestrated condition, which had previously been found to characterize the coeval ceratopsid taxon Torosaurus latus. This suggests that these taxa are synonymous with Torosaurus representing the mature form of Triceratops rather than a distinct taxon. Further, Nedoceratops hatcheri, which is represented by a single specimen with a small fenestra in the parietal, is hypothesized to represent a transitional morphology between unfenestrated and fully fenestrated (Torosaurus) specimens. Detailed locality information for specimens collected over the course of the Hell Creek Project permits for the placement of specimens in stratigraphic context. The two currently recognized species, T. horridus and T. prorsus, are stratigraphically separated within the HCF and cladistic and stratocladistic analyses are consistent with the evolution of Triceratops incorporating anagenetic (transformational) change. Morphometric analyses of the extant archosaur Ceratogymna atrata (the Black-casqued hornbill) indicate that enlarged cranial structures function as objects of visual display. Morphometric studies of Triceratops further suggest that specimens found lower in the formation may have attained the Torosaurus frill morphology through ontogeny, whereas this basal condition became increasingly rare higher in the formation. Morphometric results are also consistent with early divergence between two distinct genera. 1 CHAPTER ONE INTRODUCTION TO DISSERTATION "The remarkable reptiles which the writer recently described, and placed in a new family, the Ceratopsidæ, prove to be more and more wonderful as additional specimens are brought to light." - O.C. Marsh, 1889 The study of non-avian dinosaurs is impeded by the vast stretch of time that separates these living animals from the paleontologists that study them. Attempts to decipher diversity levels in vanished ecosystems may be particularly hindered by an inability to directly observe the creatures in question. Current studies of vertebrate species diversity are largely based on the biological species concept [which states that members of a single species are those which can interbreed and produce fertile offspring (Mayr, 1942)]. As extinct taxa cannot, as of yet, be interbred to determine whether or not they would produce fertile offspring, attempts at taxonomic classification in the fossil record are largely restricted to morphological criteria (see Smith, 1994). This approach is contingent upon an ability to recognize the scope of intraspecific morphological variation in extinct taxa. The majority of dinosaur taxa are known from one or only a handful of specimens; more often than not these specimens are incomplete. Small sample sizes limit insights into intrapopulation variation, including the changes taxa undergo throughout ontogeny as well as potential evolutionary changes. The importance of understanding variation within and between populations for deciphering evolutionary patterns has been 2 emphasized and contrasted with typological studies (e.g. Simpson, 1951; Padian and Horner, 2002). As we discover that several dinosaur genera underwent dramatic morphological changes as they matured (e.g. Rozhdestvensky, 1965; Dodson, 1975; Sampson, 1995; Horner and Goodwin, 2006, 2009) and that many of the most extreme changes occurred in the skull (which is considered to be amongst the most diagnostic parts of the skeleton) it becomes apparent that ontogenetic variation may be confused for variation between taxa (e.g. Rozhdestvensky, 1965; Dodson 1975a). This can lead to an inaccurate view of ecological structure and evolutionary relationships. Below is a short review of the role that dinosaur cranial ontogeny has played in the study of these animals. A Brief Survey of Early Early Studies of Ontogeny Long before Darwin published On the Origin of Species (Darwin, 1859), scientists had discovered that organisms go through a series of morphological changes as they grow. In 345 C.E., Aristotle pioneered the study of embryology by observing the development of chickens in their eggs (Hamburger and Hamilton, 1951; Horner and Gorman, 2009). This initial exploration of embryonic development provided the insight that the developing embryo underwent a dramatic transformation (Hamburger and Hamilton, 1951). Aristotle proposed that developing human embryos similarly underwent radical morphological changes and passed through stages of being inhabited by increasingly "higher" souls - from plant to animal to, ultimately, human (Gould, 1977). This parallel between embryonic development and the relationships between organisms foreshadowed major themes of ontogenetic hypotheses to be expressed in the 19th century (Gould, 1977). 3 Lorenz Oken, an early 19th century naturalist, proposed that development progressed from simplicity to greater complexity through the addition of structures and that this rule applied to both the development of individual organisms as well as species (Gould, 1977). Two major schools of thought developed on the foundations laid by Oken and his contemporaries once it came into public consciousness that species apparently were not immutable. Karl Ernst von Baer proposed that the embryos of different organisms go through a series of changes from a generalized morphology to more and more specialized morphologies, thus there was some similarity between embryos of all animals earlier in ontogeny. Alternatively, Ernst Haeckel famously proposed that "ontogeny recapitulates phylogeny" - that is, embryos actually go through the adult stages of their ancestors before taking on the morphology of their respective taxa (Gould, 1977). Haeckel's recapitulation hypothesis initially eclipsed Von Baer's theory of embryonic development ("Von Baer's Law"), but it fell out of favor during the "Modern Synthesis" once insights from Mendelian genetics were incorporated into evolutionary studies and revealed that the relationship between ontogeny and evolution was more complex than suggested by the recapitulation hypothesis (Gould, 1977; 1992). In 1977, Stephen Jay Gould published Ontogeny and Phylogeny, a treatise lamenting the abandonment of consideration of the relationships between individual development and the evolution of taxa. Gould acknowledged that Haeckel's 'biogenetic law' was flawed - however, he believed the complete abandonment of the study of relationships between ontogeny and phylogeny was "a classic illustration of the old cliché (particularly relevant here, given the subject matter), of throwing out the baby with the bathwater" (Gould, 1992: 276). Gould suggested that in order to fully understand the 4 evolutionary history of life on earth, the understanding of a process introduced by Haeckel was critical: "heterochrony." Heterochrony was initially Haeckel's term for events incongruent with recapitulation, however it was later redefined by Gavin de Beer to represent evolutionary changes in developmental timing (de Beer, 1930; Gould, 1977, 2000). As paleontology incorporates both biology and geology, it is a field which is especially suited to explore the interactions between ontogeny and evolution throughout the history of life on Earth. A Brief Survey of Studies of Dinosaur Cranial Ontogeny An attempt at analyzing ontogenetic variation in dinosaurs was not possible until a largely complete growth series of a single taxon had been assembled. Though the first juvenile dinosaur was described in 1883 (a juvenile sauropod briefly described by O.C. Marsh [Marsh, 1883]), an extensive dinosaur growth series was not amassed until the famous Gobi expeditions of the American Museum of Natural History (AMNH) in the early 20th century (Brown and Schlaikjer, 1940b). These expeditions are perhaps most celebrated for the discovery of the first nests of dinosaur eggs, which at the time of their discovery were believed to belong to the protoceratopsian dinosaur Protoceratops andrewsi (Brown and Schlaikjer, 1940b; Thulborn, 1992). Expeditions by the AMNH in the 1990’s would indicate that the true identity of the creator of several of these nests to be the theropod dinosaur Oviraptor philoceratops (Norell et al., 1995). However, despite this initial misidentification, the areas of the Gobi which the AMNH crews worked were rich in the remains of Protoceratops, and numerous specimens representing a range of ontogenetic stages from babies to adults were collected and returned to New York. 5 The initial description of Protoceratops was based on an incomplete skull which was missing much of the distinctive parietal-squamosal frill (Granger et al., 1923). Brown and Schlaikjer (1940) conducted a more detailed description of Protoceratops morphology based on different ontogenetic stages, with special attention given to changes throughout growth. The authors noted that the parietal-squamosal frill expands, the orbit becomes reduced, and the face deepens throughout ontogeny. They stated that “in the development from the young to the old individual, not a single important feature remains constant” (pg. 211). The collection of Protoceratops amassed by the AMNH remains one of most studied dinosaur growth series (Dodson, 1976; Thulborn, 1992; Makovicky et al., 2007). However, despite the wealth of information provided by this ontogenetic series, the importance of understanding dinosaur ontogeny for deciphering evolutionary trends was largely overlooked in the literature for several years after the initial Protoceratops study. Rozhdestvenksy (1965) suggested that an understanding of ontogenetic variation was critical to deciphering dinosaur systematics. He pointed out that five species of Late Triassic prosauropods, which had been divided into three genera, actually represented different growth stages of a single species as they were distinguished based on characters related to relative growth. He also suggested that three asian tyrannosaurs (Tyrannosaurus bataar, Tarbosaurus efremovi, and Gorgosaurus lancinator) more likely represented different growth stages of a single tyrannosaur species: Tarbosaurus bataar. Rozhdestvensky observed that these taxa had been differentiated primarily by differences in size, relative robustness of the skull, and the number of teeth: characters which have been demonstrated to change throughout ontogeny (Brown and Schlaikjer, 1940). He also 6 considered dinosaur heterochrony (evolutionary changes in developmental timing, de Beer, 1930; Gould, 1977), noting that: “The extent of growth variation in dinosaurs is sometimes so great that juvenile individuals outwardly look very similar to adults of the preceding species rather than to adult individuals of the species to which they in fact belong. Growth changes are therefore of the greatest importance in determining the scope and boundaries of a species in this group” (Rozhdestvenksy, 1965: 96). In a landmark study on the implications of cranial ontogeny, Peter Dodson (1975) revealed that the degree of morphological change which occurs in non-avian dinosaurs is comparable to that seen in some extant avian dinosaurs (birds) which retain juvenile morphology until they’ve achieved 65-80% adult size. This idea had been suggested previously by Nopcsa and Heidsieck (1933) based on the observation that smaller duck- billed dinosaurs which lacked cranial ornamentation exhibited immature bone microstructure. Nopcsa and Heidsieck suggested that cranial ornamentation developed later in ontogeny for the purpose of sexual display. Dodson demonstrated this ontogenetic trend morphometrically and concluded that such stark differences in appearance between individuals could easily lead to juveniles and adults being classified as distinct species rather than growth stages of a single taxon. In the 1975 study, he demonstrated how what were previously considered 12 species of lambeosaurines actually represented growth stages of far fewer taxa (three species representing two genera according to Dodson’s study). Lambeosaurines have been the subject of studies in cranial ontogeny since Dodson’s seminal work (e.g., Horner and Currie, 1994; Horner and Dobb, 1998; Evans, 2010; Brink et al., 2011). The more conservative cranial morphology of hadrosaurines has not prevented examinations of how these animals changed as they matured (e.g. 7 Horner, 1983; Horner et al., 1988; Freedman, 2009; Prieto-Marquez, 2010). Recent work on the large hadrosaur Edmontosaurus indicate that specimens previously assigned to a separate genus, Anatotitan, actually represent large individuals of Edmontosaurus annectens (Campione and Evans, 2011). A small tyrannosaurid skull discovered in the upper Cretaceous deposits of Montana in 1942 was initially classified as a new species of Gorgosaurus (lancensis) (Gilmore, 1946) and was later placed in its own genus, Nanotyrannus (Bakker et al., 1988). This animal was estimated to have an adult length of 3 to 4 meters and so was thought to be a pygmy tyrannosaur. Bakker et al. (1988) noted the apparent fusion of several cranial elements as evidence of its maturity. An analysis of cranial variation in Tyrannosaurus rex (Carr, 1999) which took Nanotyrannus into consideration shed doubt on its validity. Carr noted that none of the elements which appeared to be fused were actually fused nor was there evidence of those elements being fused in any known tyrannosaurid regardless of ontogenetic stage (Carr, 1999). The differences between Nanotyrannus and T.rex could be accounted for by relative growth within a taxon; Carr hypothesized that Nanotyrannus was actually a juvenile T.rex. The synonymy of these two genera halved the known number of tyrannosaurs present in the Latest Cretaceous, though debate still continues over the validity of Nanotyrannus (see Larson, 2013). Perhaps the most extreme changes in cranial morphology throughout ontogeny are found within the Marginocephalia, the clade of ornithischian dinosaurs which includes ceratopsians and pachycephalosaurs. Pachycephalosaurs are an enigmatic clade noted for their thickened fronto-parietal cranial domes (Brown and Schlaikjer, 1943). At least three taxa had been recognized within the upper Cretaceous Hell Creek Formation, among 8 these are: Pachycephalosaurus (Brown and Schlaikjer, 1943) which possessed a large, thickened dome with blunt squamosal nodes; Stygimoloch (Galton and Sues, 1983), a slightly smaller pachycephalosaur with a smaller dome and elongate squamosal spikes; and Dracorex (Bakker et al., 2006), a small taxon with no cranial dome and elongate squamosal spikes. A reassessment of these taxa incorporating histological analysis of bone microstructure (Horner and Goodwin, 2009) revealed the presence of highly vascularized bone and an open intrafrontal suture within the skull of Stygimoloch; indicators of relative immaturity. The tissue within the dome of Pachycephalosaurus was denser with less vascularization, suggestive of slower growth typically associated with greater maturity (Francillon-Vieillot et al., 1990; Chinsamy-Turan, 2005; Horner and Goodwin, 2009). The characters which distinguished these taxa appeared to be products of relative growth; Dracorex was hypothesized to represent the youngest known Pachycephalosaurus growth stage (no dome, long squamosal spikes) and Pachycephalosaurus represents the most mature (large dome, squamosal spikes reduced to blunt nodes). In Pachycephalosaurus, concurrent with the development of an enlarged fronto-parietal dome is the decrease in size of the squamosal spikes; the resorption of cranial structures throughout ontogeny is also noted in ceratopsians (Sampson, 1995; Sampson et al., 1997; Horner and Goodwin, 2006, 2008; Brown et al., 2009). Recent morphometric studies on the pachycephalosaur Stegoceras confirm that the cranial dome enlarged throughout growth in these animals and reveal a high degree of individual variation in cranial features (Schott et al., 2011; Schott and Evans, 2012). In 1914, Gilmore described a new specimen of centrosaurine ceratopsid from the Two Medicine Formation of Montana. The specimen was named Brachyceratops 9 montanensis; the description of its distinctive generic characters included: “Typically of small size. Skull with facial portion much abbreviated, and deep vertically. Supraorbital horn cores small . . . (parietal) fenestrae of apparently small size . . .” (Gilmore, 1914:2). With ceratopsids being a relatively poorly represented dinosaur family at that time, it is understandable that these features might be considered taxonomically diagnostic. They have since been demonstrated to all be representative of ontogenetic immaturity (Dodson and Currie, 1988; Sampson, 1995; Sampson et al., 1997; Goodwin et al., 2006) and thus the current taxonomic affinities of this taxon are ambiguous due to a lack of morphological features which could be used to reliably diagnose it (McDonald, 2011). Dodson (1986) described another small centrosaurine specimen from the Judith River of Montana (Figure 6). Among the characters used for the diagnosis of this proposed new taxon, Avaceratops lammersi, were the thin, smooth nature of many of the cranial elements and the borders of the frill. Cranial elements were relatively unsculptured, there was no indication of epi-ossifications, and the parietal appeared to be unfenestrated, though Dodson noted “thinning of the parietal in areas where parietal fenestrae may be expected . . . thinning need not imply fenestration. Gilmore . . faced the same problem with Brachyceratops . .. he inferred the existence of fenestrae; I infer the presence of a solid frill in Avaceratops” (Dodson, 1986: 308). In 1999 a second proposed specimen of Avaceratops was described (Penkalski and Dodson, 1999). The second specimen was found within the Judith River Formation, 125 km from the original Avaceratops locality. Referral to Avaceratops was based on the lack of ornamentation of the parietal, the apparent absence of fenestrae, and a protuberance on the squamosal similar to that seen on the holotype. 10 The discovery of a large Centrosaurus bone bed, containing individuals hypothesized to have died together in a catastrophic event, has yielded a tremendous amount of information on ontogenetic trends within centrosaurines as it apparently preserves representatives of a single population (Currie and Dodson, 1984; Ryan et al., 2001). Studies of this material (e.g. Sampson et al, 1997; Ryan et al., 2001, Frederickson and Tumarkin-Deratzian, 2014) revealed that centrosaurines underwent marked cranial changes throughout ontogeny, with juveniles appearing distinctly different from adults. Based on these studies, Brachyceratops and a similar small, enigmatic taxon Monoclonius, were classified as nomen dubia, immature animals of unknown taxonomic affinities more specific than centrosaurines (Sampson et al., 1997). Aside from a general increase in size, the parietal-squamosal frill changed dramatically throughout ontogeny with the most mature specimens developing enlarged hook-like projections bordering the parietal and epi-ossifications fusing to the lateral and posterior margins (hence the absence of these features in the holotypes of Brachyceratops and Avaceratops may be due to ontogenetic factors). Ryan et al. (2001) noted that based on comparative studies between taxa, centrosaurine juveniles appeared to be indistinguishable. The distinguishing characters of the parietal-squamosal frill did not appear until relatively late in ontogeny. Brown et al. (2009) mapped changes in surface texture which occur throughout centrosaurine ontogeny. The frills of juvenile individuals exhibit fine striations (“long-grained texture”) which correspond to radial canals oriented in the direction of growth (Francillon-Vieillot et al., 1990; Sampson et al., 1997; Carr, 1999; Tumarkin-Deratzian, 2010). More mature specimens reduced the surface area covered by this juvenile texture; the most mature specimens exhibit a mottled/rugose rather than 11 clearly striated surface texture. Increase in surface area exhibiting the mature parietal surface texture is correlated with expansion of the fenestrae. The most mature individuals exhibit ornamentation (spikes or hooks) bordering the parietal. Sampson (1995) described two centrosaurine taxa from the Late Cretaceous Two Medicine Formation. The specimens were discovered by Museum of the Rockies field crews in the 1980’s and were represented by bone beds at two distinct stratigraphic levels within the formation (Horner et al., 1992). These centrosaurines were significant in that they demonstrated that the nasal ornamentation transformed dramatically throughout ontogeny. Sampson named specimens from the lower stratigraphic section Einiosaurus procurvicornis and specimens from the higher section Achelousaurus horneri. Both of these taxa possess small, relatively uncurved nasal horns (similar to the morphology seen in Brachyceratops) as juveniles. In more mature specimens, the nasal horn is markedly different. In Einiosaurus, more mature individuals possess a procurving, hook-like nasal horn. In Achelousaurus, the nasal horn appears to have procurved to the point of contact with the front of the skull; the dorsal surface of this ‘horn’ is extremely rugose, forming a nasal boss. Until recently, there have been relatively few studies of cranial ontogeny in chasmosaurine ceratopsids. This may be tied to the relatively lower sample sizes (with a few noteable exceptions) available for chasmosaurines. Colbert and Bump (1947) considered variation within the Maastrichtian taxon Torosaurus latus, noting that the smallest specimen of this taxon appeared to have a relatively shorter parietal-squamosal frill compared to larger specimens. Lehman (1990; 2007) has described variation in Agujaceratops (previously Chasmosaurus; see Lucas et al., 2006) mariscalensis and 12 noted two distinct horn core morphologies throughout the sample which were suggested to represent sexual dimorphism. Godfrey and Holmes (1995) surveyed material which had been assigned to the genus Chasmosaurus and noted that as length of the squamosals increased, so did the number of epiossifications on the lateral margin of these elements. A recent review of Anchiceratops (Mallon et al., 2011) similarly noted variation in epiossification number and position which may be tied to ontogeny. Triceratops is the latest occurring chasmosaurine ceratopsid and the most commonly recovered dinosaur in the latest Cretaceous Hell Creek Formation (Horner et al., 2011). As this taxon represents the subject of the current dissertation, its systematic history is considered in greater detail below. A Brief History of Triceratops Systematics Ostrom and Wellnhofer (Ostrom and Wellnhofer, 1990) referred to Triceratops as an example of “flawed systematics.” Since its initial discovery, nearly every variation in morphology between specimens was considered grounds for the erection of a new species of Triceratops. Intraspecific, ontogenetic, and sexual variation was rarely taken into account. In fact, even before Triceratops was formally named it was a source of taxonomic confusion. In 1887, George L. Cannon, Jr. sent O.C. Marsh a set of large fossil horn cores found near Denver, Colorado (Dodson, 1996). Marsh described the material as belonging to a new species of extinct giant bison, Bison "alticornis.” The confusion was due, in large part to the fact that no one had at that point yet discovered a relatively complete 13 ceratopsian skull. Previously diagnosed species were fragmentary and often based largely on postcranial material. Poor stratigraphic resolution was also responsible for this misidentification. Marsh believed that the Formation which the specimen was collected from was deposited in the Cenozoic Era (Marsh, 1887) . The discovery of a similar set of horn cores in Montana’s Judith River Formation, which Marsh correctly identified as belonging to a dinosaur, “Ceratops montanus” (Marsh, 1888), revealed the presence of large horned dinosaurs in the Cretaceous. However, it wasn’t until more complete ceratopsian specimens were discovered that Marsh acknowledged that Bison "alticornis” was, in fact, a dinosaur. It would turn out to possibly represent the first recorded specimen of Triceratops (Hatcher et al., 1907; Dodson, 1996). In 1889, Triceratops horridus was named and described based on a partial skull lacking most of the parietal-squamosal frill. In the same paper that T. horridus was named (Marsh, 1889), two other species of Triceratops were erected. Triceratops "flabellatus” was diagnosed based on a large, relatively complete skull. It was the first ceratopsian specimen which revealed that these animals had large bony crests projecting from their skulls. Triceratops "galeus” was named based on much less material, primarily a small nasal horn. This species was erected because the nasal horn was shaped slightly differently than other specimens. In 1890, a skull with a prominent ridge down the midline of its parietal was considered to be a new species, Triceratops "serratus”, based on this feature (Marsh, 1890a). In the same paper, Triceratops prorsus was erected for a skull with an elongate nasal horn. Triceratops "sulcatus” was erected for a specimen in which a pronounced groove was present on the posterior surface of each 14 postorbital horn core (Marsh, 1890b). Triceratops "elatus” was erected for a specimen with a relatively elongate parietal-squamosal frill (Marsh, 1891). Triceratops "calicornis” was based on a partial skull with a slightly concave nasal horn (Marsh, 1898). Triceratops "obtusus” was the name given to a partial skull with a small, blunt nasal horn (Marsh, 1898). This makes for nine species of Triceratops erected by Marsh before his death in 1899 (Dodson, 1996). Marsh also described two species of a new genus of three- horned ceratopsian from the same area of Wyoming as Triceratops: Torosaurus latus and Torosaurus gladius (Marsh, 1891). In 1905, Marsh’s colleague J.B. Hatcher described two new species. Triceratops "brevicornis” was erected for a partial skull with relatively short horn cores. In the same paper (Hatcher, 1905), “Diceratops hatcheri" was named by R.S. Lull to honor J.B. Hatcher, who didn’t have the opportunity to give a name to the specimen before his death. It was placed in a separate genus based on small fenestrae in its parietal-squamosal frill (though Lull suggested these might be pathologic) and the apparent lack of a nasal horn. This skull is the subject of some interest as its taxonomic placement has been the subject of some debate (Forster, 1996; Farke, 2011; Scannella and Horner, 2011; Longrich and Field, 2012). In 1915, Lull named Triceratops "ingens” (Lull, 1915) based on a partial skull. This species was erected without a diagnosis or a description (Ostrom and Wellnhofer, 1986; Forster, 1996). In 1933, Barnum Brown erected Triceratops "maximus” (Brown, 1933) based on several dorsal vertebrae which were found to be unusually large. Triceratops "eurycephalus” was established for a small skull with an unusually wide parietal- squamosal frill (Schlaikjer, 1935; Ostrom and Wellnhofer, 1986). The most recently 15 named species of Triceratops was Triceratops "albertensis,” a large partial skull in which the postorbital horn core is directed vertically (Sternberg, 1949). No fewer than sixteen species of Triceratops have been named based on small variations in cranial morphology. The possibility of intraspecific variation accounting for at least some of these morphologies was not addressed at length until Ostrom and Wellnhofer (1986) compared the variation found amongst the type specimens of these species to that found in extant horned mammals. Based on this comparison, they reduced the number of species of Triceratops from sixteen to one: Triceratops horridus, the type species. Ten years later, Forster (1996) applied cladistic and morphometric approaches to examine Triceratops taxonomy. Her analysis suggested that Nedoceratops (= “Diceratops”) hatcheri (Ukrainsky, 2007, 2009; Mateus, 2008) was a distinct genus, rather than a species of Triceratops. She also resurrected Triceratops prorsus. This is where Triceratops taxonomy currently stands, with two valid species (T. horridus and T. prorsus) though there is still some disagreement over whether or not these taxa are actually distinct (Farke, 1997; Lehman, 1998; Goussard, 2006). Triceratops Ontogeny Until recently, the ontogeny of Triceratops was unknown aside from the description of small, isolated postorbital horn cores (Brown and Schlaikjer, 1940a; Tokaryk, 1997). The discovery of a partial skull of a small juvenile Triceratops revealed that the postorbital horn cores were present at a very early age; suggesting that they functioned primarily as display structures for species recognition or social signaling 16 (Goodwin et al., 2006; Padian and Horner, 2011a). The multi-institutional Hell Creek Project (HCP), spearheaded by the Museum of the Rockies, is an extensive study of the upper Cretacous Hell Creek Formation which has resulted in the collection over 50 new specimens of Triceratops, including representatives of babies, juveniles, subadults, and adults (no eggs or embryos have yet been recovered). The first description of a growth series of Triceratops skulls revealed that radical changes in morphology occurred throughout ontogeny (Horner and Goodwin, 2006; 2008). Postorbital horn cores reoriented throughout development, going from straight in the smallest specimens, to posteriorly curved in larger juveniles, to anteriorly curved in the most mature individuals. Concurrent with this was the flattening of the initially triangular epiossifications on the frill margin. Variation in Stratigraphic Context A dimension of variation which is often obscured to neontologists is the degree to which morphological features may vary over the course of evolution. Paleontologists are uniquely positioned to make comparisons between specimens found at different stratigraphic levels in order to investigate evolutionary trends. As with studies of ontogenetic change, studies of morphological evolution are facilitated by larger sample sizes. For example, if a taxon is only represented by two specimens which were found stratigraphically separated, it may be difficult to distinguish evolutionary changes from other forms of variation (such as ontogenetic, sexual, or individual). Sexual dimorphism has been suggested as a source of variation in several dinosaur taxa, including hadrosaurs (Dodson, 1975a) and ceratopsians (Dodson, 1976 17 [but see Evans et al., 2006]; Lehman, 1990). To date, sexual dimorphism in the sense originally formulated by Darwin (in which a structure is only present or greatly pronounced in one of the sexes, 1859; Padian and Horner, 2011) has not been demonstrated. Suggested instances of dimorphism have generally been restricted to minor proportional differences (see discussions in Knell and Sampson, 2011; Padian and Horner, 2011a, 2011b, 2013; Knell et al., 2013a, 2013b). If such an instance of dimorphism is found in a non-avian dinosaur, it will be necessary to first eliminate the possibility that ontogeny or evolutionary change is the source of variation. This will require detailed stratigraphic data for specimens as well as a large enough sample size to permit study of ontogenetic changes. Ontogenetic and stratigraphic variation represent filters through which data sets can be screened in order to test the hypotheses of new taxa or sexual dimorphs. Further, the consideration of ontogeny in stratigraphic context can reveal heterochronic trajectories (McKinney and McNamara, 1991). In the absence of precise stratigraphic data, relative position on a phylogenetic tree may be used to infer heterochronic shifts within clades (Long and McNamara, 1997). The fossil record for most groups of dinosaurs is complete enough to allow for some consideration of heterochronic trajectories, at least at course scales. More detailed analyses are only possible with data sets large enough to allow for studies of variation between specimens and stratigraphic data detailed enough to permit precise placement of specimens. Extensive field studies conducted in the Two Medicine Formation of northwestern Montana allowed for the stratigraphic placement of several dinosaur taxa and revealed apparent evolutionary trends in cranial morphology over time (Horner et al., 1992). 18 Perhaps the most dramatic hypothesized transformation was that of the centrosaurine ceratopsids found in the upper part of the formation. A stratigraphic succession of ceratopsids exhibits morphological trends which were originally hypothesized to be the product of anagenesis (evolutionary transformation of a lineage through time; Horner et al., 1992). Sampson (1995) in his description of this material, erected the taxa Einiosaurus and Achelousaurus. Sampson recognized that these taxa underwent dramatic changes in cranial morphology throughout ontogeny but suggested that the hypothesis of anagenetic evolution between the stratigraphically separated taxa would require a larger sample size to confirm, and suggested that cladogenesis (branching evolution) was a more conservative interpretation of the data. More recently, Campione and Evans (2011) explored cranial variation in Edmontosaurus and noted that the two currently recognized species (E. regalis and E. annectens) do not overlap stratigraphically. They suggested two alternative evolutionary scenarios: that these two species were produced by a cladogenetic branching event or, alternatively, that E. regalis may have evolved into E. annectens through anagenesis. As with the Two Medicine centrosaurines, without stratigraphic context for these specimens the potential to explore the modes of evolution in these animals would remain obscured. Summary of Dissertation The large sample of vertebrate fossils collected over the course of the Hell Creek Project (HCP) provides an opportunity to examine trends in morphology throughout the stratigraphic succession of the formation (Horner et al., 2011). As Triceratops is the most commonly recovered dinosaur in the formation, representing approximately 40% of 19 dinosaur skeletons found during a census of taxa in the formation (Horner et al., 2011), it is an ideal starting point to examine morphological variation and trends in the last non- avian dinosaurs. Further, as a ceratopsid, Triceratops exhibits interesting "bizarre" cranial structures (horns and frill), the function of which has been the subject of ongoing research and debate (see, for example, Padian and Horner, 2011; Knell and Sampson, 2011). Horner and Goodwin (2006) noted ontogenetic changes in the shapes of the postorbital horn cores and epiossifications of the parietal-squamosal frill. Chapter Two expands upon this study, and examines ontogenetic trends in the parietal and squamosal. Triceratops has been distinguished from the coeval ceratopsid, Torosaurus latus, based on the morphology of the parietal-squamosal frill. Whereas Triceratops is typically found to exhibit a short, solid parietal-squamosal frill, Torosaurus has an expanded frill with a fenestrated parietal. Examination of an ontogenetic series of Triceratops frill elements reveals that as Triceratops matures, thin regions of bone develop in the parietal. These thin regions initially form on the lateral margins of this element, but as growth proceeds the thin regions are found medial to the lateral margins. In the most mature specimens, these thinning regions are found in the areas of the parietal where specimens of Torosaurus have fenestrae. Concurrent with the thinning of the parietal in Triceratops is an ontogenetic elongation of the squamosals. The most mature individuals approach the elongate, blade-like morphology seen in Torosaurus. Further, examination of the osteohistology of the postorbital horn cores of Triceratops and Torosaurus reveals a greater degree of secondary remodeling in specimens of Torosaurus than is seen in even the largest specimens of Triceratops. These lines of evidence suggest that rather than 20 being a distinct taxon, Torosaurus latus actually represents the mature form of Triceratops. Chapter Three examines the morphology of the problematic taxon Nedoceratops hatcheri. Recently redescribed by Farke (2011), Nedoceratops is distinguished from Triceratops (and Torosaurus) by the morphology of the parietal-squamosal frill and the horn cores. In light of variation noted in horn core morphology in Triceratops and other chasmosaurines, the horn cores of Nedoceratops do not appear to be diagnostic. Further, Nedoceratops exhibits a small fenestra in the area of the parietal where Triceratops has a thin region and Torosaurus has a large fenestra. This suggests that rather than being a distinct taxon, Nedoceratops may instead represent a transitional morphology between young adult Triceratops (with a solid parietal) and the fenestrated condition seen in the most mature individuals (previously referred to Torosaurus). Chapter Four presents the results of a stratigraphic survey of Triceratops localities over the course of the HCP, specifically the years 2006 through 2010. Many of the Triceratops specimens collected in the late 19th and early 20th centuries (including most of the holotype specimens) had limited stratigraphic information associated with them. Lull (1915) compiled a record of the stratigraphic position of specimens based on the available data, though the precise placement of these specimens has been questioned (Ostrom and Wellnhofer, 1986; Farke, 1997). As such, this chapter presents detailed stratigraphic information for Triceratops from the Hell Creek Formation, in order to have this data available for future researchers and also to serve as the foundation for an examination of morphology in stratigraphic context. 21 Chapter Five presents the results of a detailed study of the cranial morphology of Triceratops in stratigraphic context. Forster (1996) recognized two species of Triceratops: T. horridus and T. prorsus. A survey of specimens collected over the HCP reveals that T. prorsus appears to be restricted to the upper unit of the formation and T. horridus is found lower in the formation. Further, specimens from the upper part of the middle unit of the formation exhibit a combination of T. horridus and T. prorsus features, which is suggestive of an evolutionary transition between these taxa. Spearman's rank correlation analyses reveal trends in the morphology of the epinasal, nasal, and nasal process of the premaxilla throughout the stratigraphic succession of the Hell Creek Formation. Cladistic and stratocladistic analyses are consistent with the hypothesis that the evolution of Triceratops may have incorporated anagenesis, the transformation of a population over time. Chapter Six explores cranial variation in an extant archosaur which, like Triceratops, exhibits 'bizarre' cranial structures: the black-casqued hornbill (Ceratogymna atrata). A collection of 33 skulls of C. atrata, and six skulls of the sympatric taxa C. elata and Bycanistes albotibialis, from the Cameroon Province of Africa were the subject of morphometric analyses. Principal Component Analysis indicates that the sexes are easily distinguished by the morphology of cranial ornamentation, but that when these structures are removed from the analyses that sexes (and taxa) overlap in morphospace. This suggests that the cranial casque of these hornbills functions primarily as an object of sexual selection; a secondary role for species recognition is also possible. Chapter Seven presents the results of morphometric analyses of Triceratops from the Hell Creek Formation. This chapter expands upon the findings of Chapter Five by 22 applying further statistical analyses to the HCP Triceratops dataset. Since the hypothesis that Triceratops and Torosaurus are synonymous was proposed (Scannella and Horner, 2010), this has been a subject of ongoing research and debate (Farke, 2011; Longrich and Field, 2012; Maiorino et al., 2013). Here, morphometric analyses are conducted to further explore and test proposed ontogenetic and evolutionary trends. Specimens collected by other institutions prior to the HCP are incorporated into geometric morphometric analyses of the dataset. Entire skulls are considered as well as elements which have been found to exhibit trends in morphology through ontogeny and/or the stratigraphic succession of the Hell Creek Formation. Results confirm many of the evolutionary trends noted in Chapter Five and suggest that Triceratops may have retained immature features of the parietal-squamosal frill longer in ontogeny over the course of its evolution. By the end of the Cretaceous, the Torosaurus morphology is rare or absent, and this may indicate that T. prorsus did not (or only relatively rarely) expressed the basal conditions of the frill (expanded and fenestrated) very late in ontogeny. Alternatively, Triceratops and Torosaurus may represent distinct taxa which diverged early in or prior to the deposition of the Hell Creek Formation and Triceratops evolved away from the Torosaurus morphology over time (T. horridus specimens exhibit more Torosaurus features than T. prorsus do). 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Paleontological Journal 43:116–116. 32 CHAPTER TWO TOROSAURUS MARSH, 1891 IS TRICERATOPS MARSH, 1889 (CERATOPSIDAE: CHASMOSAURINAE): SYNONYMY THROUGH ONTOGENY Contribution of Authors and Co-Authors Manuscript in Chapter 2 Author: John B. Scannella Contributions: Conceived the study, collected data, analyzed data, interpreted results, and wrote the manuscript. Co-author: John R. Horner Contributions: Conceived the study, collected data, analyzed data, interpreted results, and wrote the manuscript. 33 Manuscript Information Page John B. Scannella, John R. Horner. Journal: Journal of Vertebrate Paleontology Status of Manuscript: ___Prepared for submission to a peer-reviewed journal ___Officially submitted to a peer-reviewed journal ___Accepted by a peer-reviewed journal _x_Published in a peer-reviewed journal Published by the Society of Vertebrate Paleontology. Scannella, J. B., and J. R. Horner. 2010. Torosaurus Marsh, 1891, is Triceratops Marsh, 1889 (Ceratopsidae: Chasmosaurinae): synonymy through ontogeny. Journal of Vertebrate Paleontology 30:1157–1168. The following chapter has been published in the Journal of Vertebrate Paleontology and appears in this dissertation with the permission of the Society of Vertebrate Paleontology (http://www.vertpaleo.org). The copyright is held by the Society of Vertebrate Paleontology. Image of YPM 1830 is copyright Yale Peabody Museum. 34 Abstract Although they have been considered distinct genera for over a century, ontogenetic analyses reveal that Triceratops and 'Torosaurus' actually represent growth stages of a single genus. Major changes in cranial morphology – including the opening of parietal fenestrae and the elongation of the squamosals - occur rapidly, very late in Triceratops ontogeny and result in the characteristic 'Torosaurus' morphology. This report presents the results of a ten year field study of the dinosaurs of the Hell Creek Formation in Montana and is based on a collection of over 50 specimens of Triceratops, including over 30 skulls, which have been amassed in that time, in addition to specimens from numerous other North American museums. This large sample of individuals reveals the full ontogenetic spectrum of Triceratops. The synonymy of Triceratops and 'Torosaurus' contributes to an unfolding view of extremely reduced dinosaur diversity just before the end of the Mesozoic Era. Introduction Since their discovery in the late 1800s (Marsh, 1889, 1891), Triceratops and 'Torosaurus' (Ceratopsidae; Chasmosaurinae) have been regarded as the last of the horned dinosaurs. Triceratops is characterized as having a three-horned face with a rather short parietal-squamosal frill, and a solid, non-fenestrated parietal (Ostrom and Wellnhofer, 1986; Forster, 1996). 'Torosaurus' is distinguished from Triceratops solely on the basis of its expanded, fenestrated parietal-squamosal cranial frill (Sullivan et al., 35 2005; Farke, 2007). All other aspects of these animals’ remains are indistinguishable (Farke, 2007). Triceratops and 'Torosaurus' are known from the same geological unit, the Hell Creek Formation of Montana and the Dakotas, and equivalent Maastrichtian (latest Cretaceous) age sediments in adjacent states and provinces. We report here on an analysis of changes in parietal-squamosal morphology in an ontogenetic sequence of Triceratops. 'Torosaurus' specimens were not excluded from this investigation and in all cases were found to exhibit ontogenetic markers of mature individuals, including anteriorly inclined postorbital horn cores, dorsoventrally flattened epoccipitals, and fully developed osteohistologic features (Horner and Goodwin, 2006). Furthermore, transitional features are noted in subadult specimens of Triceratops that reveal the ontogenetic trajectory of the genus, culminating in the frill morphology previously considered diagnostic of “Torosaurus.” Institutional Abbreviations AMNH, American Museum of Natural History, New York; ANSP, Academy of Natural Sciences, Philadelphia; BYU, Brigham Young University Earth Science Museum, Provo; FMNH, Field Museum of Natural History, Chicago; LACM, Natural History Museum of Los Angeles County, Los Angeles; MCZ, Museum of Comparative Zoology, Harvard University, Cambridge; MOR, Museum of the Rockies, Bozeman; MPM, Milwaukee Public Museum, Milwaukee; SMM, Science Museum of Minnesota, St. Paul; UCMP, University of California Museum of Paleontology, Berkeley; UND, Paleontology Collection, University of North Dakota, Grand Forks; USNM, National Museum of Natural History, Smithsonian Institution, Washington, D.C.; UWGM, 36 University of Wisconsin-Madison Geology Museum, Madison; YPM, Yale Peabody Museum, New Haven. Materials and Methods This analysis of Triceratops cranial morphology is, in part, a result of the Museum of the Rockies’ 10-year Hell Creek Project, an attempt to reconstruct the ecosystems of the terminal Cretaceous Hell Creek Formation of Montana and surrounding provinces. The discoveries that are resulting from the Hell Creek Project (e.g., Horner and Padian, 2004; Horner and Goodwin, 2006, 2008, 2009; Horner et al., 2009a; Scannella and Fowler, 2009) emphasize the importance of large-scale field studies in which numerous individuals are collected. Triceratops is the most commonly recovered dinosaur in the Hell Creek Formation; 40% of dinosaur specimens collected during the course of the Hell Creek Project, including over 30 skulls (Appendix 1) are referable to this genus (Horner, unpublished data). Triceratops is represented by various ontogenetic stages, ranging from specimens with skulls less than half a meter in length to skulls that are over two meters in length (Horner and Goodwin, 2006). Most of these specimens have yet to be formally described. “Torosaurus,” on the other hand, is both rare and generally larger: the smallest known skulls are around two meters in length and the largest approach three meters in length. The large collection of Triceratops cranial material amassed by the MOR was supplemented with the examination of specimens from several North American institutions, including the numerous type specimens at the National Museum of Natural 37 History and the Yale Peabody Museum. Specimens were placed within the ontogenetic groups (baby, juvenile, subadult, adult) defined by Horner and Goodwin (2006) based on the morphological criteria described therein. This study was not limited to complete skulls; ontogenetic markers (such as shape of the postorbital horn cores and epoccipitals) allow placement of partial specimens into a growth series (Horner and Goodwin, 2006). Measurements were taken with digital calipers, sliding calipers, or a metric tape measure where appropriate. All measurements were taken at least twice and then averaged. Squamosal length/width was plotted against squamosal length and an exponential least squares regression analysis was performed using Microsoft Excel. Osteohistology specimens were processed following current techniques (Horner et al. 2009b). Specimens were embedded in polyester resin, sectioned with a diamond powder disk on a precision saw, ground on a lap wheel to achieve the desired optical contrast, and polished. Results Ontogenetic Development of Parietal Fenestrae An ontogenetic series of Triceratops skulls reveals that late in ontogeny the ventral surface of the parietal developed thinning regions which we hypothesize are the precursors to fenestrae (Fig. 2.1; Table 2.1). Expansion of parietal fenestrae through ontogeny has been noted in previous studies of ceratopsians (Dodson and Currie, 1988; Brown et al., 2009). Although Triceratops has been diagnosed as possessing an extremely thick, solid parietal (Forster, 1996), this thickness is not uniform. The regions 38 of the parietal that are fenestrated in other chasmosaurines became extremely thin (less than .5 cm thick) as Triceratops matured. Juvenile Triceratops possessed subtly thinner regions of the parietal adjacent to the lateral margins, roughly 5-10 cm from the frill’s caudal edge. In larger subadult specimens, these thin regions are expanded onto the ventral surface of the parietal and form two prominent fossae (as seen in YPM 1823). These fossae expanded into large, semi-circular depressions that extended medially toward the parietal midline and rostrally toward the supratemporal fenestrae (as seen in MOR 2924, Fig. 2.1B). As the frill continued to grow, the depressions became isolated from the lateral margins of the parietal (MOR 2946, AMNH 970, Fig. 2.1C). The parietal thins abruptly from approximately 2.5 to 3 cm or more at its thickest point near the caudal edge to less than 0.5 cm within the depressions (as exemplified by MOR 2946). These areas are often not fully preserved in specimens of Triceratops (e.g., AMNH 56-+*****, MOR 004, MOR 2946, UND 3000), likely due to the inherently fragile nature of the thin bone. MOR 1122, the most complete skull of “Torosaurus,” retains a shallow rim bordering the caudal margin of its left parietal fenestra (Fig. 2.1D). The parietal is 2.62 cm thick (measured 2 cm anterior to the caudal margin), intermediate in thickness between the characteristically thick parietal of Triceratops and the thinner condition that is typical of 'Torosaurus' (1 to 2 cm). This allowed for the retention of the “thinning rim” on the ventral surface which is otherwise eliminated by the overall thinning of the parietal. MOR 981, the only other 'Torosaurus' specimen known to preserve the entire border of a parietal fenestra (parietal thickness 1.9 cm), does not display a similar thickened rim on the ventral surface. The maximum widths of the fenestrae of MOR 1122 39 are 36.5 cm (left, with thickened rim present) and 49 cm (right). The sole preserved fenestra of MOR 981 has a maximum width of 53 cm. The osteohistology of the thinning region of the parietal of a young adult Triceratops (MOR 2946; Fig. 2.2) reveals that resorption occurs on both the ventral and dorsal surfaces. Multiple erosion surfaces are visible (Fig. 2.2D) indicating that the parietal is extensively remodeled throughout ontogeny. Squamosal Elongation Concurrent with the development of parietal fenestrae is the elongation of the squamosals (Figs. 2.3, 2.4). The smallest known Triceratops skull (UCMP 154452) possesses extremely short squamosals which are reminiscent of those found in the “short- frilled” centrosaurine ceratopsids (Goodwin et al. 2006; Dodson, 1996; Fig. 2.3A). In contrast to other chasmosaurines in which the squamosals gradually elongate (Lehman, 1990), Triceratops is paedomorphic and retains the juvenile morphology throughout most of its development (Fig. 2.3B-F). This retention of relatively short, broad squamosals led to Triceratops being grouped with the centrosaurine ceratopsids for many years rather than in its rightful place among the “long-frilled” chasmosaurines (Dodson, 1996; Lull, 1933; Sternberg, 1949). Only very late in Triceratops ontogeny do the squamosals become elongate, producing intermediates between the broad, juvenile condition and the blade-like state found in 'Torosaurus' (Fig. 2.3G, H). These intermediate squamosal morphologies correlate with advanced parietal thinning (see Table 2.1). A thickened squamosal bar forms along the contacts with the parietal in mature specimens (Colbert and Bump, 1947; Farke, 2007). 40 As seen in Fig. 2.4, Triceratops squamosals eventually adopted the morphology previously considered diagnostic of “Torosaurus.” This is demonstrated by the good correlation between squamosal length and elongation when an exponential least squares regression is performed (R2=.782). Size, however, is not the most reliable indicator of maturity (see Discussion). 'Torosaurus' specimen SMM P97.6.1 is noteworthy in its possession of slightly wider squamosals than those of other 'Torosaurus' specimens. This individual’s squamosals are wide rostrally and taper caudally (see Fig. 2.3J) which is consistent with elongation from the immature morphology considered diagnostic of Triceratops. Interestingly, a specimen from the Frenchman Formation of Saskatchewan which was originally referred to “Torosaurus latus” (Tokaryk, 1986; this has since been contested by Sullivan et al., 2005) exhibits a similar squamosal morphology. This may represent individual or stratigraphic variation (see comments on variation in Discussion). The Ontogenetic Spectrum of Triceratops The placement of specimens into an ontogenetic spectrum highlights transitional features. AMNH 5116 is a large skull (200 cm skull length, measured from tip of the rostral to the parietal-squamosal contact at caudal frill margin) with extremely narrow squamosals and a fairly thin (2.3 cm, measured 2 cm anterior to the caudal margin) parietal (Fig. 2.5A). The anteriorly inclined postorbital horn cores of AMNH 5116 indicate maturity comparable to that seen in other “adult” Triceratops specimens. This individual has been identified as Triceratops rather than 'Torosaurus' because its parietal is unfenestrated. However, close inspection reveals a pronounced sloping of the parietal, from thicker bone near the caudal margin to thinner bone in the regions which are 41 fenestrated in 'Torosaurus.' Many 'Torosaurus' specimens retain a gradual sloping of the parietal in these regions, posterior to the fenestrae, which we hypothesize to be a remnant of the transition from solid frill to perforation (MOR 1122, MPM VP6841, SMM P97.6.1). The sloping of the parietal of AMNH 5116 coincides with a textural change from a striated texture to a more rugose, pebbly surface texture within the areas where fenestrae would be present in 'Torosaurus' (Fig. 2.5C). A similar textural transition has been noted to occur on the margins of developing parietal fenestrae in centrosaurines (Brown et al., 2009) and represents a transition from the characteristic solid parietal of Triceratops to the fenestrated condition found in mature individuals. Striated frill texture corresponding to visible radial canals is observed in juvenile Triceratops (UCMP 154452, MOR 1199, MOR 2569, MOR 2951) as well as other juvenile ceratopsians (Sampson et al., 1997; Brown et al., 2009). It is associated with rapid growth (Francillon-Vieillot et al., 1990; Sampson et al., 1997), the radial vascular canals being oriented in the direction of expansion. Several 'Torosaurus' specimens have a similar surface texture on their frills, with the striations varying in thickness from being fine to fairly broad, resembling what Tumarkin-Deratzian (2009) refers to as a “grooved” surface texture. Histological examination of a parietal (MOR 981, a large 'Torosaurus') with striated surface texture reveals that it is associated with the expansion of the frill. The presence of a striated surface texture on the parietal of AMNH 5116 and several 'Torosaurus' specimens (MOR 981, MPM VP6841, SMM P97.6.1, YPM 1831) which display clear ontogenetic markers of maturity including anteriorly inclined postorbital horn cores and flattened epocciptals, as well as less reliable ontogenetic markers (relatively large size, apparent closure of cranial sutures, see Discussion) suggests that the 42 late expansion of the frill occurs rapidly, concurrent with overall thinning. AMNH 5116 is a Triceratops that died just prior to attainment of the complete 'Torosaurus' morphology. The problematic specimen, USNM 2412, has been placed in its own genus “Nedoceratops” (Ukrainsky, 2007, 2009); at times it has been the sole representative of “Diceratus” (Mateus, 2008), “Diceratops” (Lull, 1905; Hatcher et al., 1907), or its own species of Triceratops, “Triceratops hatcheri” (Lull, 1933; Ostrom and Wellnhofer, 1986). Suggested autapomorphies of this specimen include the absence of a nasal horn and the presence of a small fenestra in the parietal (Forster, 1996). The apparent absence of an epinasal in this specimen is unlikely to be an autapomorphy as similar nasal horn morphologies are found in Triceratops and 'Torosaurus' specimens (MOR 981, MOR 1122, UCMP 128561, USNM 2410). Alternatively, the epinasal could have been lost in vivo or simply disarticulated from the fossil as a result of taphonomic processes (Horner and Goodwin, 2008). In addition, the specimen shows evidence of severe pathologies (Tanke and Farke, 2007). USNM 2412 possesses dorsoventrally flattened epoccipitals and subtly procurving postorbital horn cores – indicators of ontogenetic maturity. Its elongate squamosals and incipient parietal fenestra are exactly what would be predicted in a Triceratops which is transitional between the short, solid subadult frill and the elongate, fenestrated condition found in adults. We consider USNM 2412 an ontogenetically transitional specimen of Triceratops. UWGM 732 is a specimen with anteriorly inclined postorbital horn cores and dorsoventrally flattened epoccipitals. It possesses elongate squamosals (Fig. 2.3I) and a thin parietal (1.5 cm thick measured 2 cm anterior to the caudal margin). However, the 43 squamosals had yet to develop the thickened squamosal bar that is found in “Torosaurus latus” specimens and it is unclear if the parietal was fenestrated at the time of death. We consider UWGM 732 a young adult Triceratops. It is interesting to note that the posteriorly curved postorbital horn core of a very small juvenile Triceratops was collected from the same site as the larger individual. Inclusion of 'Torosaurus' specimens in the examination of Triceratops cranial ontogeny highlights transitional morphological features that link these two taxa as ontogenetic stages of the same taxon. As such, the stages of Triceratops growth outlined by Horner and Goodwin (2006) must be expanded upon in order to encompass the full ontogenetic spectrum of this genus (Table 2.2). Individuals bearing anteriorly inclined postorbital horn cores and dorsoventrally flattened epoccipitals which have yet to develop the complete 'Torosaurus' frill morphology (e.g., AMNH 5116, MOR 004, MOR 1625, MOR 2702, USNM 2412) and were previously considered mature adults are revealed to be immature; we will refer to this as the young adult growth stage. 'Torosaurus' (e.g., MOR 981, MOR 1122, YPM 1830) represents the adult stage of Triceratops ontogeny. Epiparietal and Episquamosal Variation The epoccipitals (epiparietals and episquamosals) of Triceratops undergo dramatic changes in morphology throughout ontogeny (Horner and Goodwin, 2006, 2008). All juvenile specimens possess triangular epoccipitals. As individuals matured the epoccipitals became dorsoventrally flattened onto the frill margin. Triceratops has previously been diagnosed as possessing an unvarying configuration of five epiparietals, one of which consistently straddles the midline 44 (Forster, 1996). This character has been used to distinguish Triceratops from 'Torosaurus'' and other chasmosaurines (Farke and Williamson, 2006; Farke, 2007). However, several Triceratops specimens possess more than five epiparietals (LACM 27428, USNM 2100, Horner and Goodwin, 2008). USNM 1201 was described as possessing six epiparietals without evidence of one on the midline (Hatcher et al., 1907); however this was an inference made from the morphology of the parietal margin and only one epoccipital was found with the specimen. MOR 2923 represents an individual with an unfenestrated parietal in which six epiparietals are clearly preserved, none of which are found on the midline (Fig. 2.6). 'Torosaurus' specimen MOR 981 preserves only the right half of its parietal, on which three epiparietals are clearly visible. Farke (2007) noted the presence of five parietal marginal undulations, suggesting a total count of 10 epiparietals for this individual. MOR 1122 (previously assigned to 'Torosaurus') has 12 epiparietals and lacks a midline epiparietal as well. The number and position of epiparietals is variable within Triceratops and the greater number found in MOR 981 and MOR 1122 suggests that this number increases throughout ontogeny. The number of episquamosals is also variable. Triceratops has classically been restored with four or five episquamosals per squamosal in addition to one that bridges the parietal/squamosal gap (YPM 1821, YPM 1823). However, MOR 1120 clearly preserves seven episquamosals on its right squamosal; six are preserved on the left squamosal. 'Torosaurus' specimens (MOR 1122, MPM VP6841) preserve seven episquamosals per squamosal. 45 Osteohistology: a Test of Ontogenetic Hypotheses The osteohistology of the postorbital horn cores of Triceratops reveal the expected tissue ontogeny seen in other bones (Francillon-Vieillot et al. 1990; Chinsamy- Turan, 2005), in that young Triceratops horns are composed of primary tissues, whereas the horns of older individuals are composed of more mature tissues. As seen in Figure 2.7 A-B, the posteriorly curved postorbital horn core of a small juvenile Triceratops (comparable in size to MOR 2569; see Fig. 2.3B) is very porous and composed exclusively of primary tissue. The postorbital horn core tissue of a much larger juvenile (orbital horns still arched backward) is slightly less porous and composed of tissues that are mostly primary, but contain some secondary osteons. The postorbital horn cores of young adult Triceratops skulls approximately 2 meters in length (Fig. 2.7 E-H) have tissues which have been remodeled, but are not yet composed of multigenerational “Haversian” canals. The tissue is still rather spongy, and fibrocytes are abundant and well ordered (Horner and Goodwin, 2009; Horner and Lamm, 2009). Squamosal morphology in these specimens ranges from the broad morphology typical of what were previously considered adult Triceratops (MOR 1625) to fairly elongate (MOR 2702; Fig. 2.3G). At this point the parietal has pronounced thinning regions and epoccipitals are dorsoventrally flattened. The postorbital horn core of a mature Triceratops ('Torosaurus') is composed of multigenerational dense “Haversian” tissue, indicative of very mature bone (Fig. 2.7 I-J). This histological ontogenetic sequence clearly demonstrates that Triceratops which were previously considered to be adults are not as mature as individuals with the expanded, 46 fenestrated parietal-squamosal frill morphology previously considered diagnostic of 'Torosaurus'. Discussion The radical changes in cranial morphology which occur throughout ceratopsid ontogeny (Sampson, 1995; Horner and Goodwin, 2006) entail that an understanding of ontogenetic development is critical to studies of their paleoecology and systematics. Triceratops is paedomorphic relative to other chasmosaurines in that it retains juvenile features (broad squamosals, unfenestrated parietal) until extremely late in ontogeny. A large sample of specimens reveals the full ontogenetic spectrum of Triceratops, with intermediate morphologies linking individuals that could easily be mistaken for distinct species without an understanding of the degree of plasticity in the skulls of these animals. Ontogenetic Variation It has been suggested that ANSP 15192 is an immature 'Torosaurus' given its relatively small size (177cm skull length; Colbert and Bump, 1947). However, though it was originally described as not possessing epoccipitals, the epiparietals and episquamosals of ANSP 15192 are indeed preserved and exhibit the mature morphology of being dorsoventrally flattened and fused to the frill border (Fig. 2.8). In fact, all “Torosaurus latus” specimens in which the epoccipitals are preserved exhibit this mature morphology (ANSP 15192, MOR 981, MOR 1122, MPM VP6841). No 'Torosaurus' specimen has posteriorly curving postorbital horn cores, which would be indicative of immaturity (Horner and Goodwin, 2006). To the extent that any 'Torosaurus' specimens 47 have a degree of sinuosity to their postorbital horn cores, it falls within the range of variation found in young adult Triceratops (as seen in MOR 1604 and UCMP 113697). Interestingly, the postorbital horn cores of several 'Torosaurus' specimens show signs of pronounced resorption (ANSP 15192, MOR 981, MOR 1122). Remodeling of the postorbital horn cores was still occurring in these mature animals.   Size alone is not a reliable indicator of ontogenetic stage and there is a strong degree of variation in the timing of cranial fusion in Triceratops (Horner and Goodwin, 2008). For example, YPM 1822 is a small skull (154cm skull length) in which the cranial sutures appear to be fused. However, it is displayed alongside the much larger skull YPM 1821 (187cm skull length) in which the cranial sutures are open. MOR 2952 is a recently discovered large Triceratops in which the 27cm long epinasal has yet to fuse to the nasals. Similarly, the large 'Torosaurus' MOR 1122 (skull length 255 cm) was discovered with an associated isolated premaxilla that was equivalent in size to its own and yet unfused. BYU 12183 is an extremely large Triceratops skull (estimated skull length 250 cm); unfortunately the areas of the parietal which may reveal thinning, incipient fenestrae, or textural transitions are largely reconstructed. Ontogenetic markers (horn core curvature, epoccipital morphology) can be used to group individuals into growth stages, but in ideal situations a combination of factors (including osteohistology, bone texture, sutural fusion, and size) should be considered. Alternative Hypotheses Alternative hypotheses to the synonymy of these genera may include the suggestion that 'Torosaurus' does not conform to the ontogenetic trends observed in 48 Triceratops. This is unparsimonious given the close phylogenetic relationship proposed for 'Torosaurus' and Triceratops (Dodson et al., 2004). Posterior curvature of postorbital horn cores in immature individuals is observed in ceratopsians as primitive as Zuniceratops (Wolfe and Kirkland, 1998; Horner and Goodwin, 2006). Another possibility is that 'Torosaurus' is a valid genus which is indistinguishable from Triceratops until relatively late in ontogeny when its fenestrae develop. Given the geographic and stratigraphic overlap of these animals, ontogeny is far more parsimonious than erecting two distinct genera, particularly since tissue ontogeny reveals that 'Torosaurus' specimens are more mature than any Triceratops specimens, including those previously considered adults. Furthermore, specimens that might otherwise be considered immature 'Torosaurus' but are here considered transitional ontogenetic stages of Triceratops (e.g., AMNH 5116, MCZ 1102, MOR 2702, USNM 2412) all bear ontogenetic indicators of maturity such as anteriorly inclined postorbital horn cores and/or dorsoventrally flattened epoccipitals. Ostrom and Wellnhofer (1990) suggested that the differences in frill morphology which distinguish “Torosaurus” from Triceratops may be the result of sexual dimorphism in a single genus. The predictable nature of parietal thinning throughout ontogeny in Triceratops, the osteohistological evidence for greater maturity in 'Torosaurus' specimens, and the lack of strong evidence for sexual dimorphism in non- avian dinosaurs (Padian et al., 2004, Goodwin et al., 2006) argues against this proposal. Sexual dimorphism accounting for differences in size cannot be ruled out at this time. 49 Implications for Dinosaur Diversity No centrosaurine material is known from the Hell Creek Formation or adjacent equivalent aged formations. It appears that only the chasmosaurine ceratopsids survived into the latest Maastrichtian (Dodson, 1996). Of this group, Triceratops and 'Torosaurus' were proposed to be the last of their lineages (Sternberg, 1949). The synonymy of these genera diminishes the diversity of ceratopsids in the Hell Creek Formation. Similar synonymizations are occurring for several taxa, including tyrannosaurs (Carr, 1999) and pachycephalosaurs (Horner and Goodwin, 2009), in the latest Cretaceous of North America. These advances show that dinosaur diversity was more depleted than traditionally thought well before the end of the Cretaceous Period. Systematic Paleontology Ceratopsia Marsh, 1888 Neoceratopsia Sereno, 1986 Ceratopsidae Marsh, 1888 Chasmosaurinae Lambe, 1915 Triceratops Marsh, 1889 Figure 2.5 A, B (a) Revised Diagnosis Skull bears elongate postorbital horn cores (derived from fusion of the postorbitals and prefrontals early in ontogeny) plus a single variable epinasal horn. Epinasal unites the rostral-nasal-premaxillae complex. The shape of the frontal fontanelle 50 is variable, though generally circular when present; some specimens lack a frontal fontanelle as a result of closure of the frontals and parietal. Parietal-squamosal frill relatively short, broad and fan-like (compared to other chasmosaurine genera). Fenestrated and expanded in mature individuals. Strong undulating midline parietal ridge throughout early ontogeny becomes a broad parietal bar in mature specimens; fenestrae are ovate to nearly circular. Pronounced squamosal bars alongside parietal-squamosal contacts in mature specimens. Epiparietals and episquamosals ornament posterior and lateral margins of the parietal-squamosal frill. Epijugals on the jugal flange fuse the jugal-quadratojugal complex (modified from Ostrom and Wellnhofer, 1986, and Forster, 1996). (b) Valid Species Triceratops horridus Marsh, 1889 (type species); holotype: YPM 1820 (Hatcher et al. 1907, pl. XXVI, figs. 24, 25, 27); diagnosis same as for genus. Triceratops prorsus Marsh, 1890; holotype: YPM 1822 (Forster 1996, fig. 9B); diagnosis as per Forster (1996). T. horridus and T. prorsus are stratigraphically separated (Scannella and Fowler, 2009). This finding and its evolutionary, taxonomic, and biogeographic implications will be addressed in detail in a separate manuscript. (c) Locality and Horizon (YPM 1820) Section 2, T.36N., R. 64 W. Niobrara County, Wyoming, U.S.A. “About the middle of the upper half of the Lance formation, Late Cretaceous” (Ostrom and Wellnhofer, 1986:156). 51 (d) Synonyms Torosaurus latus Marsh, 1891(rediagnosed by Colbert and Bump, 1947; Sullivan et al. 2005; Farke, 2007); Nedoceratops hatcheri Lull, 1905; Ukrainsky, 2007 (new combination, Diceratops preoccupied) [=Diceratops hatcheri Lull, 1905 (original description), Diceratus hatcheri Lull, 1905; Mateus, 2008 (new combination, junior subjective synonym)] (e) "Torosaurus" utahensis Gilmore, 1946 Chasmosaurine remains from the southern “Alamosaurus fauna” (Lehman, 1987) of Utah, New Mexico, and Texas have been referred to "Torosaurus" utahensis, however there is still considerable debate by students of ceratopsids over how many of these (largely fragmentary) specimens are actually diagnosable to the genus level (Sullivan et al., 2005; Hunt and Lehman, 2008). The synonymy of Triceratops and the type species of 'Torosaurus' implies that "Torosaurus" utahensis is either a species of Triceratops, or a different genus; either Arrhinoceratops (Parks, 1925), to which it was initially referred by Gilmore (1946), or its own distinct genus. We favor the first hypothesis, but as this southern material was not included in the present study, a further diagnosis of "Torosaurus" utahensis is beyond the scope of this paper and will be investigated in a following study. (f) Remarks Given the amount of morphological change that occurs throughout the lifespan of an individual, the use of a single type specimen for taxonomic purposes is problematic if the diagnosable characters are not limited to the adult ontogenetic stage. Hence, multiple 52 ontogenetic stages are easily misinterpreted as distinct taxa (Dodson, 1975). The revised diagnosis of Triceratops presented here is based on characters found in a mature individual. Conclusions Recognition of the full scope of Triceratops ontogeny emphasizes the radical degree of cranial morphological transformation which occurred throughout development. Postorbital horn cores reoriented from being straight, to posteriorly directed, to anteriorly directed correlated with the dorsoventral flattening of epiparietals and episquamosals throughout ontogeny (Horner and Goodwin 2006, 2008). The initially unfenestrated parietal-squamosal frill thickens throughout development, with some specimens reaching a thickness in excess of 6 cm (MOR 2969), before rapidly expanding, thinning, and ultimately adopting the fenestrated condition found in all other chasmosaurines. We hypothesize that these dramatic changes in cranial ornamentation functioned in intraspecific communication, signaling relative maturity. It is telling that no confirmed juvenile 'Torosaurus' skulls have been reported. Incorporation of 'Torosaurus' into the spectrum of Triceratops ontogeny explains why 'Torosaurus' is only known from a few mature individuals in the Hell Creek Formation whereas Triceratops is extremely abundant and represented by several growth stages (Horner and Goodwin, 2006). Immature 'Torosaurus' actually have been known for over a century but have been called Triceratops. The fact that the majority of Triceratops specimens that have been collected since the initial description of the genus (Marsh, 1889) are not fully mature suggests that either Triceratops mortality was fairly high 53 before full maturity was reached, or adults did not live in the same areas as immature animals. Ontogenetic analyses of dinosaur morphology highlight transitional features between specimens and suggest that much of the variation previously attributed to taxonomic differences is actually a product of developmental processes (Dodson, 1975). Studies focused on the dinosaur fauna of the Hell Creek Formation are depleting latest Cretaceous dinosaur diversity through ontogenetic synonymies (Horner et al., 2007). As such, a trend of decreasing dinosaur diversity preceding the end of the Mesozoic Era is implied. Acknowledgments ` We are grateful to all of the institutions which permitted access to specimens. Image of YPM 1830 in Figure 2.5 is copyright Peabody Museum of Natural History, Yale University. We thank the MOR field crews as well as Makoshika State Park and Lon Bolick for discovery and collection of specimens. Thanks to C. Ancell, D. Barta, S. Brewer, T. Bridges, N. Carroll, B. Harmon, J. Heuck, P. Hookey, J. Jette, and L. Roberts for preparation of specimens. E. Lamm performed histological preparation. We thank K. Baker, B. Boessenecker, C. Boyd, M. Carrano, P. Dodson, A. Farke, D. Fowler, E. Freedman, M. Goodwin, L. Hall, J. Hartman, M. Holland, F. Jackson, P. Makovicky, M. Pillet, K. Padian, A. Poust, J. Stiegler, D. Varricchio, and H. Woodward for helpful comments, suggestions, and stimulating conversations. H. Woodward produced illustrations. Comments by R. Holmes and two anonymous reviewers improved an early version of the manuscript. Specimen collection was funded primarily by Nathan 54 Myhrvold. The BLM, USFW, and CMR as well as the Twitchell, Taylor, and Holen families permitted access to lands. Research funding for JBS was provided by the Theodore Roosevelt Memorial Fund of the American Museum of Natural History, the Doris O. and Samuel P. Welles Research Fund of the University of California Museum of Paleontology, and the Sands brothers. 55 Figure 2.1 Development of thin regions of the parietal throughout Triceratops ontogeny. A, Ventral view of the parietal of a juvenile Triceratops, MOR 2951; B, MOR 2924 (left half of parietal). In subadult Triceratops, shallow depressions form on the ventral surface of the parietal, adjacent to the lateral margins. These depressions are initially undetectable on the dorsal surface; C, MOR 2946 (left half of parietal). As the parietal grows, the shallow regions become isolated from the lateral margins. The parietal is still unperforated at this stage. Dashed line indicates approximate extent of fenestra in “Torosaurus”; D, MOR 1122. The thinning regions are resorbed late in ontogeny, forming the characteristic fenestrae of “Torosaurus.” Arrows indicate rim of thinning region on the ventral surface. Scale bars equal 10 cm. 56 Figure 2.2 Triceratops parietal fragment, MOR 2946, showing the histology of the ventral erosion surface. A, view of whole fragment. Ventral surface faces up. Letters show placement of Figures B, C & D. Specimen is 6 cm long; B, Ventral surface of the slope between the thickened and thinned regions of the parietal. Scale bar equals 1 mm; C, Erosion surface of the thinned region showing eroded secondary osteons. Scale bar equals 100 µm; D, Erosion surface of thickened region showing an older erosion surface (arrows) with subsequent deposition. Scale bar equals 100 µm. 57 Figure 2.3 Ontogenetic elongation of the squamosals in Triceratops. Specimens arranged in hypothesized ontogenetic sequence: A, UCMP 154452; B, MOR 2569; C, MOR 1199; D, MOR 1110; E, MOR 1120; F, MOR 004; G, MOR 2702; H, AMNH 5116; I, UWGM 732; J, “Torosaurus” SMM P97.6.1 (image reversed for comparison); K, “Torosaurus” MOR 1122. Scale bars equal 10 cm. 58 Figure 2.4 Squamosal elongation in Triceratops. Growth stages: Baby: UCMP 154452; Juvenile: LACM 149538, MOR 1110, MOR 1199, MOR 2569, MOR 2927, MOR 2928, MOR 2929, MOR 2572, MOR 2951, UCMP 136306; Subadult: MOR 1120, MOR 2923, YPM1821, YPM 1822, YPM 1823; Young adult: AMNH 5116, FMNH P12003, LACM 59049, MOR 004, MOR 1625, MOR 2702, MOR 2942, SMM P60.2.1, UCMP 113697, USNM 2412; UWGM 732*; Adult (“Torosaurus”): ANSP 15192, MOR 1122, MPM VP6841, SMM P97.6.1, YPM 1830, YPM 1831. Squamosal length measured from parietal/squamosal contact at caudal frill margin to anterolateral most point of squamosal margin. Squamosal width measured across widest point of squamosal. *Estimate. 59 Figure 5. Comparison of AMNH 5116 to “Torosaurus latus” specimens. A, AMNH 5116, lower jaw belongs to a separate individual (AMNH 5039). Note anteriorly inclined postorbital horn cores and elongate squamosals. Scale bar equals 10 cm; B, YPM 1830, the type specimen of “Torosaurus latus.” Scale bar equals 10 cm; C, Close-up of the dorsal surface of the parietal of AMNH 5116 revealing the transition from striated surface texture over the caudal end of the parietal to a pebbly surface texture in the region where the fenestrae will open. Scale bar equals 3 cm; D, Ventral surface of the parietal of “Torosaurus” MOR 981, revealing striated surface texture. Scale bar equals 1 cm. Image of YPM 1830 © 2010 Peabody Museum of Natural History, Yale University, used with permission. 60 Figure 2.6 The parietal of Triceratops specimen MOR 2923 (skull slightly distorted from postmortem crushing). Arrows indicate epiparietals. Dashed line represents the midline. Scale bar equals 10 cm. 61 Figure 2.7 Osteohistology of an ontogenetic sequence of Triceratops postorbital horn cores. A, UCMP 159233, juvenile postorbital horn core (approximately 20 cm in length, arched backward), transverse section, showing spongy tissue with very high vascularization; B, close-up of A showing that the spongy tissue is entirely primary, indicative of its young age; C, MOR-HYP-P31.Horn1-D2-2, large juvenile postorbital horn core (approximately 50 cm in length, arched backward), transverse section showing spongy tissue with high vascularization; D, close-up of C showing that the spongy tissue is mostly composed of primary tissues with some secondary osteons; E, MOR 1625.Horn1-1, young adult postorbital horn (orbital horns incomplete), transverse section showing compact “Haversian” bone with numerous open erosion rooms and fairly high vascularization; F, close-up of E showing tissue composed of loosely packed “Haversian” systems with large erosion rooms; G, MOR 2702.Horn1-1, young adult postorbital horn core (approximately 55 cm in length arched forward), transverse section, showing dense “Haversian” systems with fairly high vascularization; H, close-up of G showing a tissue composed of loosely packed “Haversian” systems with large erosion rooms; I, MOR 1122.Horn1-2, adult postorbital horn core (approximately 60 cm in length, arched forward), transverse section, showing dense tissue with moderate vascularization; J, close-up of G showing a tissue composed of dense, multigenerational “Haversian” canals, indicative of a mature individual. 62 Figure 2.8 The dorsoventrally flattened epoccipitals of “Torosaurus” specimen ANSP 15192 reveal ontogenetic maturity. Scale bar equals 10 cm. 63 Table 2.1 Ontogenetic trends expressed in the parietal-squamosal frill of Triceratops; est, estimate; np, not preserved. Ontogenetic trends: A, thinning on lateral margins of parietal; B, depressions along lateral margins on ventral side of parietal; C, ventral depressions isolated from lateral margins of parietal; D, parietal exhibits textural change surrounding incipient fenestrae; E, squamosals elongate; F, fenestrae open. *AMNH970 not measured due to enclosure in display case.**Lateral margins of MOR2702 are not preserved and thus it is unknown if the incipient fenestrae are fully isolated from the margins. Triceratops Growth stage Parietal length (cm) Ontogenetic trends A B C D E F UCMP 154452 Baby 12 MOR 2569 Juvenile 26 x MOR 1199 Juvenile 38 x MOR 2951 Juvenile 42 x UCMP 136306 Juvenile 46 x MOR 1110 Juvenile 49 x MOR 1120 Subadult 71 np YPM 1823 Subadult 64 x MOR 2924 Subadult 68 x MOR 2950 Subadult -- x MOR 2574 Subadult -- x MOR 1625 Young adult -- x LACM 59049 Young adult 83 x AMNH 970 Young adult --* x MOR 2946 Young adult -- x MOR 2702 Young adult -- x** x AMNH 5116 Young adult 83 x x USNM 2412 Young adult 71 x x UWGM 732 Young adult -- x np SMM P97.6.1 Adult 100(est) x x MOR 981 Adult 116 x x YPM 1831 Adult 134(est) x x YPM 1830 Adult -- x x ANSP 15192 Adult 85 x x MOR 1122 Adult 125 x x MPM VP6841 Adult 107(est) x x                                    64 Table 2.2 Growth stages of Triceratops. Modified from Horner and Goodwin, 2006. np, not preserved; d-v, dorsoventrally compressed. Growth stage Example p.o. Horn orientation (curvature) Epoccipitals Squamosals Parietal Baby UCMP 154452 Straight, no curvature np Short, broad Unfenestrated Juvenile MOR 1199 MOR 1110 Posterior Delta- shaped Short, broad Unfenestrated Subadult MOR 1120 Anterior tip of horn posterior Delta- shaped Short, broad Unfenestrated Young adult MOR 004 MOR 1625 MOR 2702 Anterior d-v Broad to elongate, no squamosal bar Unfenestrated to small incipient fenestrae Adult MOR 981 MOR 1122 Anterior d-v Elongate, squamosal bar present Fenestrated                               65 Appendix 2.1 Sample of Triceratops cranial material collected by the MOR, the majority having been collected since 1999. Specimen Number Material Specimen Number Material MOR004 Articulated skull MOR2436 Partial disarticulated skull MOR335 Parietal MOR2551 Partial skull MOR539 Partial skull MOR2552 Partial skull MOR699 Disarticulated skull MOR2569 Disarticulated skull MOR965 Partial skull MOR2570 Partial skull MOR981 Articulated skull MOR2572 Squamosal MOR989 Nasal horn, rostral MOR2574 Disarticulated skull MOR1098 Postorbital horn core MOR2576 Postorbital horn core MOR1110 Disarticulated skull MOR2589 Postorbital horn core MOR1120 Disarticulated skull MOR2590 Premaxilla MOR1122 Articulated skull MOR2597 Partial skull MOR1199 Disarticulated skull MOR2702 Partial skull MOR1604 Articulated skull MOR2923 Articulated skull MOR1625 Partial skull MOR2924 Disarticulated skull 66 Appendix 2.1 (Continued) Specimen Number Material Specimen Number Material MOR2927 Squamosal, postorbital horn core MOR2958 Postorbital horn core MOR2928 Squamosal, dentary MOR 2959 Partial skull MOR2929 Squamosal MOR2969 Parietal MOR2937 Maxilla MOR 2970 Squamosal MOR2938 Partial disarticulated skull Squamosal Dentary Parietal, squamosal MOR2971 MOR2972 MOR2975 MOR2979 Partial disarticulated skull Partial skull Partial skull Partial skull MOR2942 MOR2945 MOR 2946 MOR2950 Partial skull MOR2980 Squamosal MOR2951 Disarticulated skull MOR2982 Partial disarticulated skull MOR2952 Partial skull MOR2984 Partial skull                                                 67 Literature Cited Brown, C. 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Albuquerque, NM: New Mexico Museum of Natural History and Science Bulletin. 72 CHAPTER THREE 'NEDOCERATOPS': AN EXAMPLE OF A TRANSITIONAL MORPHOLOGY Contribution of Authors and Co-Authors Manuscript in Chapter 3 Author: John B. Scannella Contributions: conceived and designed the experiments, performed the experiments, analyzed the data, contributed reagents/materials/analysis tools, wrote the paper. Co-author: John R. Horner Contributions: conceived and designed the experiments, performed the experiments, analyzed the data, contributed reagents/materials/analysis tools, wrote the paper. 73 Manuscript Information Page John B. Scannella, John R. Horner. Journal: Public Library of Science ONE Status of Manuscript: ___Prepared for submission to a peer-reviewed journal ___Officially submitted to a peer-reviewed journal ___Accepted by a peer-reviewed journal _x_Published in a peer-reviewed journal Published by Public Library of Science Scannella J. B., and J. R. Horner. 2011. ‘Nedoceratops’: An example of a transitional morphology. PLoS ONE 6(12): e28705. doi:10.1371/journal.pone.0028705 The following chapter has been published in the open-access journal PLoS ONE and appears in this dissertation under the terms of the Creative Commons Attribution License. 74 Abstract Background The holotype and only specimen of the chasmosaurine ceratopsid dinosaur ‘Nedoceratops hatcheri’ has been the source of considerable taxonomic debate since its initial description. At times it has been referred to its own genus while at others it has been considered synonymous with the contemporaneous chasmosaurine Triceratops. Most recently, the debate has focused on whether the specimen represents an intermediate ontogenetic stage between typical young adult Triceratops and the proposed mature morphology, which was previously considered to represent a distinct genus, ‘Torosaurus’. Methodology/Principal Findings The only specimen of ‘Nedoceratops hatcheri’ was examined and the proposed diagnostic features of this taxon were compared with other chasmosaurine ceratopsids. Every suggested autapomorphy of ‘Nedoceratops’ is found in specimens of Triceratops. In this study, Triceratops includes the adult ‘Torosaurus’ morphology. The small parietal fenestra and elongate squamosals of Nedoceratops are consistent with a transition from a short, solid parietal-squamosal frill to an expanded, fenestrated condition. Objections to this hypothesis regarding the number of epiossifications of the frill and alternations of bone surface texture were explored through a combination of comparative osteology and osteohistology. The synonymy of the three taxa was further supported by these investigations. 75 Conclusions/Significance The Triceratops, ‘Torosaurus’, and ‘Nedoceratops’ morphologies represent ontogenetic variation within a single genus of chasmosaurine: Triceratops. This study highlights how interpretations of dinosaur paleobiology, biodiversity, and systematics may be affected by ascribing ontogenetic and other intraspecific variation a taxonomic significance. Introduction For many years after the description of the first species of Triceratops (T. horridus; Marsh, 1889), nearly every variation in cranial morphology between specimens was considered sufficient grounds to erect new species. By 1949, as many as 16 species of this genus had been named (Ostrom and Wellnhofer, 1986; Dodson, 1996; Forster, 1996a). After his initial description of Triceratops, O.C. Marsh also named two species of a new genus of latest Cretaceous ceratopsid (‘Torosaurus’), which were found in the same geological formation and geographic area as the Triceratops specimens (Marsh, 1891). 'Torosaurus' differed from Triceratops in having an expanded, fenestrated parietal and elongate squamosals. The resultant high number of apparently coeval taxa had major implications for interpretations of dinosaur paleoecology and end-Cretaceous taxonomic diversity (Ostrom and Wellnhofer, 1986). Ostrom and Wellnhofer (1986, 1990) called attention to the apparent high diversity of Triceratops and proposed an alternative hypothesis: that the variation used to 76 erect all of these taxa was instead simply intraspecific variation within T. horridus. They noted similar levels of variation in populations of extant horned mammals. This idea was largely supported by the more recent work of Forster (Forster, 1996a), who found morphometric evidence for only two species of Triceratops (T. horridus and T. prorsus). Ostrom and Wellnhofer (1990) further suggested that ‘Torosaurus’ may actually represent sexual dimorphism within Triceratops. We recently presented evidence that ‘Torosaurus’ instead represents the mature morphology of Triceratops (Scannella and Horner, 2010). As Triceratops matured, its skull underwent a series of radical transformations: the postorbital horn cores changed orientation, the epiossifications (epoccipitals) bordering the parietal-squamosal frill changed shape, and the frill itself expanded and became fenestrated [Scannella and Horner, 2010; Horner and Goodwin, 2006; Horner and Goodwin, 2008; Horner and Lamm, 2011). The end-product of this transformation was the morphology previously considered to represent a distinct genus: ‘Torosaurus’. Consideration of potential sources of intraspecific variation, including ontogenetic change, has reduced 18 latest Cretaceous ceratopsid taxa to two (Triceratops horridus and Triceratops prorsus). This produces a dramatically different view of horned dinosaur systematics. One of the 18 proposed taxa, represented by a single skull (USNM 2412; Figure 3.1), has had a particularly complex taxonomic history. It has at various times been considered a distinct genus (‘Diceratops’; Forster, 1996a; Lull, 1905), a species of Triceratops (‘Triceratops hatcheri’; Lull, 1933), or variation within Triceratops horridus (Ostrom and Wellnhofer, 1986; Lehman, 1998). The genus name ‘Diceratops’ was recently found to have been preoccupied and two new names were proposed: ‘Diceratus’ 77 (Mateus, 2008) and ‘Nedoceratops’ (Ukrainsky, 2007). ‘Nedoceratops’, being published first, has priority (Ukrainsky, 2009). The prefix ‘nedo’ is Russian in origin and means ‘insufficiency’ (Ukrainsky, 2007) – thus, ‘Nedoceratops’ roughly translates to ‘insufficient horned face.’ USNM 2412 has been considered unusual in that unlike the holotypes of Triceratops it expresses a small parietal fenestra and fenestrated squamosals (Lull, 1905). Dodson (1996) noted that the slightly elongate squamosals of USNM 2412 bear a closer resemblance to those of ‘Torosaurus’ than to Triceratops. The specimen also has a greatly reduced or perhaps absent epinasal (Forster, 1996a). We have previously noted that several of the unusual features of USNM 2412 appear to be intermediate between those seen in Triceratops and ‘Torosaurus’, and proposed that the specimen represents a Triceratops which was beginning to develop the expanded, fenestrated frill characteristic of the mature morphology, ‘Torosaurus’ (Scannella and Horner, 2010). Recently, Farke (2011) redescribed USNM 2412 and considers ‘Nedoceratops hatcheri’ a valid taxon, stating that its unusual features “may be explained as a whole suite of abnormalities in a single aberrant individual of Triceratops, or a suite of autapomorphies characterizing a taxon distinct from Triceratops (pg. 6).” Farke favors the latter hypothesis and rejects the hypothesis that ‘Torosaurus’ represents a mature Triceratops (the Ontogenetic Trajectory Hypothesis [OTH] as he terms it). The degree to which some proposed dinosaur taxa may or may not actually represent variation (either ontogenetic or individual) within established taxa is debated [e.g. Scannella and Horner, 2010; Farke, 2011; Dodson, 1990; Sampson et al., 1997). Ontogenetically transitional morphologies in the dinosaur fossil record have the potential 78 to dramatically affect interpretations of taxonomy and systematics (e.g. Scannella and Horner, 2010; Rozhdestvensky, 1965; Dodson, 1975; Horner and Goodwin, 2009; Horner et al., 2011). The taxonomic status of USNM 2412 (as well as 'Torosaurus' and Triceratops) has significant implications for trends in dinosaur diversity preceding the K/Pg boundary. Here we will demonstrate that every feature of USNM 2412 proposed to be diagnostic of a distinct genus is found within Triceratops and thus USNM 2412 more likely reflects variation within Triceratops. We also provide further evidence for the synonymy of Triceratops and ‘Torosaurus’ (by ‘Torosaurus,’ we are referring to ‘Torosaurus latus’, not ‘Torosaurus’ utahensis [see Scannella and Horner, 2010]). Finally, we discuss the effect of intraspecific variation on our interpretations of dinosaur paleobiology and systematics. Institutional Abbreviations. AMNH, American Museum of Natural History, New York, New York, USA; ANSP, Academy of Natural Sciences of Philadelphia, Pennsylvania, USA; CM, Carnegie Museum, Pittsburgh, Pennsylvania, USA; MOR, Museum of the Rockies, Bozeman, Montana, USA; MPM, Milwaukee Public Museum, Milwaukee, Wisconsin, USA; RTMP, Royal Tyrrell Museum, Drumheller, Alberta, CA; UCMP, University of California Museum of Paleontology, Berkeley, California, USA; USNM, National Museum of Natural History, Washington D.C., USA; YPM, Yale Peabody Museum, New Haven, Connecticut, USA. 79 Results Reassessment of USNM 2412 Farke (2011) diagnoses ‘Nedoceratops hatcheri’ as follows: “Chasmosaurine ceratopsid with the following autapomorphies: nasal horncore nearly completely undifferentiated from the nasal bone; greater portion of procurved postorbital horncores forms 90 degree angle with tooth row; and parietal fenestrae extremely small (occupying less than five percent of the total surface area of the parietal). Nedoceratops hatcheri is distinguished from Triceratops spp. in the position of the ventral extremity of the squamosal well above the alveolar process of the maxilla, and in the presence of parietal fenestrae, which are lacking in Triceratops species. Nedoceratops hatcheri is distinguished from Torosaurus latus in squamosal shape (particularly the reduced jugal notch and lack of a thickened medial margin in N. hatcheri), and that N.hatcheri has extremely reduced parietal fenestrae and a low number of episquamosals relative to T. latus. (pg. 4)” Nasal and Nasal Horn. The nasal horn of USNM 2412 is indeed ‘nearly completely undifferentiated from the nasal bone’, however similar poorly defined nasal horn morphologies are seen in several specimens of Triceratops (UCMP 128561, USNM 1208, USNM 4720, MOR 981, MOR 1122; Figure 3.2). The nasal horn of MOR 981 (Figure 3.2D) is particularly unpronounced, yet not quite to the degree observed in USNM 2412. It has been suggested that the epinasal of USNM 2412 was lost either taphonomically or due to pathology (Ostrom and Wellnhofer, 1986; Forster, 1996a; 80 Horner and Goodwin, 2008). Areas of the anterior nasals are obscured by reconstruction; however there is no clear evidence of breakage indicating a missing epinasal. Farke (2011) suggests that the lack of an open epinasal suture makes it improbable that the epinasal was lost due to trauma in life. However the epinasal is known not to fuse to the underlying nasals until fairly late in ontogeny in some specimens of Triceratops (Horner and Goodwin, 2008). If the eipnasal was lost in life and the nasal sutures proceeded to close, there would be no reason to expect an open epinasal suture. For these reasons, the nasal horn morphology of USNM 2412, taken on its own, presents insufficient grounds to distinguish this specimen from Triceratops. Postorbital Horn Cores. The left postorbital horn core is largely reconstructed, yet preserves the base which is slightly anteriorly inclined (Figure 3.1). The right postorbital horn core is more complete, and is fairly erect (varying from the morphology expressed on the left side of the skull) yet procurved. The orientation of the postorbital horn cores undergoes a radical change throughout ontogeny in Triceratops (Horner and Goodwin, 2006). In the smallest (‘baby’) specimens, the postorbital horns are erect, in juveniles they begin to curve posteriorly and then as ontogeny progresses they become procurved. Procurving of the postorbital horn cores indicate that USNM 2412 was a fairly mature individual (see Discussion). Given that the postorbital horn cores transformed so dramatically throughout ontogeny, variation in orientation between specimens is expected. Intraspecific variation in the orientation of the base of the postorbital horn core has been demonstrated in several taxa of chasmosaurine ceratopsids (Lehman, 1990). 81 Thus, the orientation of horn cores cannot be used to distinguish USNM 2412 from Triceratops. Parietal Fenestrae. Arguably the most intriguing feature of USNM 2412 is the presence of a small parietal fenestra on the right side of the frill (the left half of the parietal is largely unpreserved). Farke (2011) notes no ventral depression surrounding the parietal fenestra of USNM 2412, though acknowledges that the parietal is extremely thin in this region. There is, in fact, a subtle ventral depression around the parietal fenestra of USNM 2412 which conforms to the shape of the fenestra (though it is slightly obscured by the metal framework supporting the skull and not immediately obvious upon observation; Figure 3.3). Also, there is a transition in surface texture surrounding the fenestra (Figure 3.4): the area immediately adjacent to the fenestra is somewhat less rugose than the rest of the parietal (though much of the surface texture is obscured by reconstruction). Parietal fenestrae are unknown in Triceratops (exclusive of ‘Torosaurus’ specimens) but are found in specimens referred to ‘Torosaurus’. As we previously noted (Scannella and Horner, 2010), if Triceratops matured into the morphology previously considered diagnostic of ‘Torosaurus’, at some point the parietal fenestrae would open. It is predicted that the fenestrae would start off small and expand in size, as is seen in centrosaurine ontogeny (Sampson et al., 1997; Dodson and Currie, 1988; Brown et al., 2009). Thus, we interpret the small parietal fenestra of USNM 2412 as a product of the parietal thinning which we previously demonstrated (Scannella and Horner, 2010) and not diagnostic of a distinct taxon (see Discussion). 82 Squamosal Morphology. The ventral extremity of the squamosal of USNM 2412 is positioned above the alveolar process of the maxilla. A similar configuration is seen in several specimens of Triceratops (e.g. UCMP 113697; USNM 1201) and is thus not diagnostic of a distinct taxon (Figure 3.5). Similarly, there is considerable variation in the size of the jugal notch formed by the squamosal in Triceratops specimens (see Scannella and Horner [2010] Figure 3). Indeed, there is variation in the size of the jugal notch between the left and right side of USNM 2412 (Figure 3.1). This is likely due to pathology (Tanke and Farke, 2007). The lack of a thickened median margin of the squamosal (or ‘squamosal bar’ (Farke, 2007) exhibited by USNM 2412 is expected until late in ontogeny in Triceratops (Scannella and Horner, 2010). The squamosals bear asymmetrical fenestrae which, as Farke (2011) notes, are not reliable for taxonomic purposes. The squamosal morphology of USNM 2412 is here interpreted as representing an intermediate between the short, broad condition typical of immature Triceratops and the elongate morphology with a thickened median margin which is found in mature specimens (previously assigned to 'Torosaurus'). Episquamosal Number. The episquamosal count of USNM 2412 has been estimated as five, with the rostral episquamosals indiscernible due to tight fusion (2011). Alternatively, we suggest that the rostral episquamosals are not preserved in this specimen. Episquamosals are commonly lost taphonomically (Horner and Goodwin, 2008). The number of episquamosals preserved on USNM 2412 cannot be used to distinguish it from Triceratops (as noted by Farke [2011]) and as such does not support the hypothesis that this specimen represents a distinct genus. 83 Discussion Taxonomic Status of ‘Nedoceratops hatcheri’ All of the features and conditions used to diagnose ‘Nedoceratops’ are found in Triceratops. The nasal horn, if present, is greatly reduced but given the variation in nasal horn morphology in Triceratops (Ostrom and Wellnhofer, 1986; Farke, 2011; Marsh, 1898; Forster, 1993 [contra Cobabe and Fastovsky, 1987]) and the fact that other specimens possess nasal horns which are not much larger than that expressed by USNM 2412, we interpret this as variation within Triceratops. Alternatively, as noted above, the epinasal may have been lost in vivo – in which case this feature would not be useful for taxonomic diagnoses. The squamosal morphology (particularly that of the right side of the skull, the left squamosal apparently being pathologic [Tanke and Farke, 2007]) does not fall outside the range of variation found in Triceratops (see Scannella and Horner, 2010). The horn cores are procurved yet the right horn core is more erect than is typical in Triceratops. A similarly erect horn core is found in the holotype of Eotriceratops xerinsularis (RTMP 2002.57.7; [Wu et al., 2007]). We interpret this variation in postorbital horn core orientation as a result of the morphological change which these elements undergo throughout ontogeny (Horner and Goodwin, 2006). Variation between the orientations of the left and right postorbital horn cores in USNM 2412 further suggests that this feature is of limited taxonomic utility. Indeed, even if ‘Torosaurus’ is not synonymous with Triceratops, the only feature which unambiguously distinguishes ‘Nedoceratops’ from Triceratops is the small parietal fenestra. However, we think it is 84 more likely that had the animal not died when it did that this fenestra would have continued to develop and the frill would have continued to expand, resulting in a morphology indistinguishable from mature Triceratops (‘Torosaurus’). Taxonomic Status of ‘Torosaurus latus’ Radical ontogenetic changes in cranial morphology have been noted in several dinosaur taxa (e.g. Sampson et al., 1997; Dodson, 1975; Horner and Goodwin, 2009; Sampson, 1995; Currie et al., 2008). Triceratops underwent a dramatic cranial transformation throughout ontogeny - the postorbital horn cores completely changed orientation and prominent triangular epiossifications of the cranial frill increased in size in juveniles and subadults and then became resorbed and flattened in more mature individuals (Horner and Goodwin, 2006; 2008). We have proposed that the cranial transformation of Triceratops included an expansion of the parietal-squamosal cranial frill, ultimately leading to the thin, fenestrated condition previously considered diagnostic of 'Torosaurus latus' (Scannella and Horner, 2010). The proposed synonymy of Triceratops and 'Torosaurus' (the 'OTH' [Farke, 2011]) has been challenged based on observations about the number and position of epiossifications on the cranial frill and cranial surface texture (Farke, 2011). Variation in Epiossification Number and Position. As Farke notes, Triceratops specimens typically express five to seven episquamosals, whereas ‘Torosaurus’ specimens have seven (Forster, 1996b; Scannella and Horner, 2010; Farke, 2011). Farke states that “even squamosals from “baby” and juvenile Triceratops have between five and seven scallops for attachment of episquamosals . . . corresponding precisely to the 85 number found in most adult-sized individuals (pg. 7).” This also corresponds to the number of episquamosals found in ‘Torosaurus’ specimens (e.g. MOR 1122, MPM VP6841). Thus, variation in episquamosal number does not falsify the OTH. The alternative is to ascribe different species names to specimens with five, six, or seven episquamosals. As the number of episquamosals has been found to vary between the left and right sides of individuals (Scannella and Horner, 2010) and these elements are easily lost taphonomically (Horner and Goodwin, 2008); assigning species names based solely on this criteria would very likely be erroneous. Triceratops has been diagnosed as possessing both a midline epiparietal and epiossificationswhich span the parietal-squamosal contacts (Forster, 1996a). ‘Torosaurus’ specimens, on the other hand, have been found to express evidence for between 10 (MOR 981) and 12 (MOR 1122) epiparietals. These specimens do not express a midline epiparietal or epiossificationsspanning the parietal-squamosal contacts. Thus, if ‘Torosaurus’ represents the mature morphology of Triceratops it means that a significant reconfiguration of epiparietals occurred throughout ontogeny. The most complete ‘Torosaurus’ parietal is that of MOR 1122, a specimen which clearly expresses 12 epiparietals. Direct comparisons of this specimen to (non- ‘Torosaurus’) Triceratops suggests an increase of at least six epiparietals throughout ontogeny. Is such a transformation feasible? Farke (2011) notes that an addition of epiossifications is apparently not found in ontogenetic series of centrosaurines (though he acknowledges variation by as many as two epiparietals and one episquamosal between juveniles and adults, a difference which he considers individual variation). We question whether direct comparisons of frill epiossifications of chasmosaurines and centrosaurines 86 are, in this regard, appropriate. In so far as chasmosaurine ceratopsids, Forster et al. (1993) and Godfrey and Holmes (1995) noted an apparent increase in episquamosals throughout ontogeny in Agujaceratops mariscalensis and Chasmosaurus spp. (respectively). Thus the suggestion of an addition of epiossifications throughout ontogeny in chasmosaurines is by no means unprecedented. These two examples may alternatively be interpreted as individual variation (Farke, 2011). Triceratops epiossifications undergo dramatic changes in morphology throughout ontogeny (Horner and Goodwin, 2006; 2008). They expand, elongate, and eventually flatten. Forster (1996b) noted that in one specimen of Triceratops (CM 1221) these elements ‘fuse into a continuous epoccipital rim (pg. 252).’ A specimen at the MOR (MOR 2975) exhibits an episquamosal with two peaks, which is suggestive of erosion of the midline of the element and eventual division had elongation continued (Figure 3.6). If the six epiparietals of a (non-‘Torosaurus’) Triceratops were each to elongate and divide throughout ontogeny, it would produce 12 epiparietals. Osteohistological studies have already established that dinosaur cranial adornments were capable of dramatic transformations throughout ontogeny (likely due to metaplastic transformation [Horner and Goodwin, 2009; Horner and Lamm, 2011]); continued erosion of the epiossifications to eventually divide the elements is thus not an unfeasible mechanism for the apparent addition of epiossificatons throughout ontogeny which has been previously hypothesized (Lull, 1933; Forster et al., 1993; Godfrey and Holmes, 1995; Scannella and Horner, 2010). Another factor which must be considered in concert with ontogenetic transformation is stratigraphic variation (Scannella and Fowler, 2009). MOR 1122, which 87 expresses 12 epiparietals, was collected from the bottom of the Hell Creek Formation in Eastern Montana. No other Triceratops specimens have been reported from this low in the formation. MOR 981, originally referred to 'Torosaurus' (Farke, 2007), was collected from slightly higher in the formation. As Farke (2007) noted, MOR 981 exhibits evidence of only ten epiparietals. MPM VP6841, a large specimen previously referred to 'Torosaurus' (Johnson and Ostrom, 1995), was collected from significantly higher in the formation (Scannella, 2010). It does not exhibit a complete set of epiparietals, however the one most completely preserved epiparietal is approximately 35 cm in length. Given the total width of this specimen’s parietal (204 cm), the maximum number of epiparietals it could have accommodated – assuming no spaces between each epiparietal – is approximately six, a number comparable to that found in specimens of (non- ‘Torosaurus’) Triceratops (Horner and Goodwin, 2008). There is likely a stratigraphic component to epiparietal count; the count suggested by MPM VP6841 is in agreement with Triceratops. Furthermore, the presence of an epiossification spanning the parietal-squamosal contact, though previously unreported, is clearly present in a specimen of ‘Torosaurus’ [ANSP 15192; see Scannella and Horner, 2010 Figure 8]. There is also evidence suggesting a midline epiparietal was present on MOR 1122, though unpreserved: vascular traces on the ventral surface of the parietal appear to lead directly from the anterior region of the parietal to each epiparietal (Figure 3.7). Pronounced vascular traces clearly terminate at the midline of the parietal, suggesting that blood was supplied to a midline epiparietal. If so, this further supports the synonymy of these taxa. 88 The Parietal of USNM 2412 as Intermediate between Triceratops and 'Torosaurus'. If the parietal-squamosal frill of Triceratops eventually adopted the morphology previously considered diagnostic of 'Torosaurus' through ontogeny, the discovery of intermediate morphologies would be expected. The existence of such intermediate specimens has been previously documented: throughout ontogeny the squamosals elongated and the parietal developed thin regions in the same areas where specimens of 'Torosaurus' have fenestrae (Scannella and Horner, 2010; Horner and Lamm, 2011). USNM 2412 represents an important specimen in that it exhibits a small parietal fenestra in the same region of the parietal where thin areas (histologically revealed to have been actively becoming thinner at the time of death; [Scannella and Horner, 2010; Horner and Lamm, 2011]) are found in Triceratops. We consider these regions ‘incipient fenestrae.’ Farke suggests that these thin areas were instead areas for muscle attachment (Farke, 2011; Tsuihiji; 2010). As noted above, both a ventral depression and transition in surface texture are found around the parietal fenestra of USNM 2412. A transition in surface texture has been noted around the developing fenestrae of AMNH 5116 [Triceratops; Scannella and Horner, 2010] and in centrosaurines (Sampson et al., 1997; Brown et al., 2009). AMNH 5116 expresses a striated surface texture over much of the parietal, and a ‘pebbly’ surface texture in the regions which we hypothesize represent developing fenestrae. USNM 2412 differs slightly from this, in that no striated texture appears to be present on the parietal (though, as noted, much of the parietal’s surface is obscured by reconstruction). Instead 89 there is a transition from rugose (‘adult’) surface texture to the less rugose texture around the fenestra. The presence of rugose surface texture on the parietal of USNM 2412 has been noted as evidence of an 'old-adult' ontogenetic status for the specimen (Farke, 2011). Centrosaurine frills appear to have passed through three sequential ontogenetic stages: 1) ‘long-grained’ surface texture in juveniles; 2) mottled surface texture; 3) smooth/rugose ‘adult’ texture (Sampson et al., 1997; Brown et al., 2009; Tumarkin-Deratzian, 2010). Transformation of ceratopsid frill surface texture which does not follow this sequence, or reverts back and forth between these surface textures, has not previously been described (however Ryan and Russell [2005] note a ‘modified long-grain bone texture’ on cranial elements of large Centrosaurus brinkmani). It is important to emphasize that surface textures represent expressions of the histological growth and remodeling processes which were occurring at the time of the animal’s death (Francillon-Viellot et al., 1990). ‘Long- grained’ or striated texture, for example, is associated with rapid bone expansion (Francillon-Viellot et al., 1990; Sampson et al., 1997; Brown et al., 2009; Tumarkin- Deratzian, 2010). The parietal of MOR 981 (‘Torosaurus’) expresses a striated texture over much of its surface (Scannella and Horner, 2010). Histological examination of this parietal reveals that it was expanding at the time of death (Horner and Lamm, 2011). Based on this observation, it might be predicted that MOR 981 was less mature – perhaps significantly so – than MOR 1122, a ‘Torosaurus’ specimen which expresses histological evidence of extreme maturity and exhibits rugose surface texture on its parietal (Scannella and Horner, 2010). However, examination of the osteohistology of the postorbital horn core of MOR 981 reveals extremely dense, multigenerational 90 ‘Haversian’ tissue indicative of maturity equivalent to that seen in MOR 1122, and greater than that expressed in (non-‘Torosaurus’) Triceratops (Figure 3.8). The presence of surface striations indicative of rapid expansion of the parietal in very mature specimens of Triceratops (‘Torosaurus’) supports the hypothesis that the short, thickened frill of a young adult Triceratops expanded and thinned late in ontogeny. Farke (2011) notes that surface textures associated with bone resorption, such as those observed on the parietals of Triceratops and other ceratopsids, are not unambiguously associated with the formation of fenestrae. This is true, as resorption occurs in all bones – it is a general feature of growth and remodeling (Francillon-Vieillot et al., 1990), thus the presence of mottled surface textures in areas of ceratopsid skulls that do not form fenestrae (such as the parietal midline [Brown et al., 2009]) does not imply the formation of fenestrae but it does indicate that bone resorption was occurring in those areas at the time of death. In areas where fenestrae do form, histological evidence of resorption would be expected and has been demonstrated (Scannella and Horner, 2010; Horner and Lamm, 2011). The histological evidence suggests that reversion from a rugose (‘adult’) surface texture to a striated texture occurred in Triceratops. Therefore, the presence of rugose surficial texture on the parietal of USNM 2412 does not indicate that it had stopped growing, or that its parietal would not have undergone further changes had it not died when it did. The suggestion that the thin regions of the parietal in Triceratops were areas for muscle attachment (Farke, 2011; Tsuihiji; 2010) would be supported by the presence of abundant extrinsic fibers in these areas (Hieronymus, 2006). Examination of the microstructure of these areas in Triceratops reveals no evidence of extrinsic fibers and 91 thus suggests that these were not regions of indirect muscle attachment. However, it is possible there was a direct attachment to the periosteum (Hieronymus, 2006). This is a somewhat more difficult hypothesis to test histologically with fossil material. Significantly, if the cranial ornamentation of marginocephalians developed through metaplastic transformation, as has been suggested (Horner and Lamm, 2011; Horner and Goodwin, 2009), it would indicate the absence of a periosteum at some point in ontogeny and thus direct muscle attachment would be unlikely. Regardless of whether or not there were muscle attachments in these regions at some point in ontogeny, the fact that USNM 2412 exhibits a fenestra within this area of the parietal confirms that resorption leading to eventual fenestration occurred here. We interpret USNM 2412 as a transitional morphology between the solid parietal of immature Triceratops and the fenestrated condition of mature individuals (‘Torosaurus’). Juvenile 'Torosaurus latus'. Until a clearly juvenile ‘Torosaurus’ is recovered - with backwards curving postorbital horn cores, delta-shaped epiossifications, elongate squamosals, and a fenestrated parietal – it appears more likely that either: a) juvenile ‘Torosaurus’ were largely indistinguishable from Triceratops and differences in morphology between these two taxa only became apparent later in ontogeny, or b) ‘Torosaurus’ and Triceratops are synonymous. We favor the latter hypothesis for reasons previously discussed in detail (Scannella and Horner, 2010). An extensive, unbiased survey of the fossils of the Hell Creek Formation resulting in the collection of numerous rare ontogenetic stages of dinosaur taxa failed to recover evidence of juvenile 92 ‘Torosaurus’ clearly distinguishable from Triceratops (Scannella and Horner, 2010; Goodwin and Horner, 2010; Horner et al., 2011). Farke (2011) suggests that YPM 1831 (initially described as the holotype of ‘Torosaurus gladius’ (Marsh, 1891) may represent a subadult ‘Torosaurus.’ He notes that the frill of this specimen exhibits a smooth surface texture, no epiossifications are readily visible, and that several cranial elements are unfused. The frill of YPM 1831 exhibits a striated surface texture similar to that observed in MOR 981. As noted previously (Scannella and Horner, 2010), this surface texture is found in several specimens expressing indicators of ontogenetic maturity. As discussed above, MOR 981 itself exhibits extremely mature bone histology, thus the surface texture of the frill of YPM 1831 does not indicate subadult status. The postorbital horn cores of YPM 1831 are procurved, which is further indicative of ontogenetic maturity. The fact that epiossifications were not fused to the frill margin does not indicate a subadult status as many young adult/adult Triceratops do not retain all of their epiossifications (e.g. AMNH 5116, MOR 981, MOR 1122, MOR 2702, MPM VP6841, YPM 1830). As noted previously, epiossifications appear to have been easily lost taphonomically. There is variation in the timing of apparent cranial fusion in Triceratops (Scannella and Horner, 2010). Several large specimens exhibit open sutures and unfused cranial elements (e.g. MOR 2702, MOR 2938, MOR 2971) and there are also smaller, less mature specimens in which several sutures of the skull appear closed (e.g. MOR 1120, MOR 3010, YPM 1822). For this reason, apparent cranial fusion is likely one of the least reliable ontogenetic indicators. It is also worth noting that YPM 1831 is, as O.C. Marsh (Marsh, 93 1892) described it, “gigantic.” For these reasons, it is unlikely that YPM 1831 represents a subadult ‘Torosaurus.’ Transitional Morphologies and Dinosaur Systematics The ongoing dialogue regarding the taxonomic status of USNM 2412 highlights questions of whether suggested autapomorphies for some dinosaur taxa may in fact represent ontogenetic or other intraspecific variation. The potential for dinosaurs of different ontogenetic stages to be mistaken for distinct taxa has been recognized for over half a century (Rozhdestvensky, 1965). In a landmark study, Dodson (1975) demonstrated that lambeosaurines underwent dramatic changes in cranial morphology relatively late in ontogeny. This late stage morphological change was comparable to what is seen in some extant avian dinosaurs (birds) which retain an immature cranial morphology until late in development (Dodson, 1975). As such, specimens of 'adult- sized' dinosaurs may have still undergone considerable changes in morphology had they survived to reach full maturity (e.g. Horner and Goodwin, 2009; Scannella and Horner, 2010; Horner and Lamm, 2011). Ontogenetically transitional specimens can greatly affect interpretations of dinosaur systematics (e.g. Dodson, 1975; Carr, 1999; Horner and Goodwin, 2009; Carr, 1999; Fowler et al., 2011). The largest, and presumably most mature, dinosaurs are relatively rare in the fossil record and when they are recovered are easily mistaken for new, distinct taxa based on the state of features which transform throughout development (Horner et al., 2011). At the same time, specimens initially described as adults of new, small taxa may actually represent juveniles of other previously described taxa (Bakker et 94 al., 1988; Carr, 1999; Sereno et al., 2009; Fowler et al., 2011). In the absence of large sample sizes or monospecific bone beds, transitional specimens may be extremely difficult to recognize for what they are. The resulting overestimation of dinosaur diversity may produce an erroneous view of the paleoecology of these animals (Dodson, 1975). New insights into Triceratops ontogeny are the result of a very large sample size produced in part by extensive field exploration of the uppermost Cretaceous Hell Creek Formation (Scannella and Horner, 2010; Horner et al., 2011). Each specimen of Triceratops is valuable for insights that may be provided regarding individual, ontogenetic, and stratigraphic variation (Scannella and Horner, 2010). The potential for transitional morphologies to be mistaken for unique taxa underscores the need for large scale field explorations in which numerous specimens of various growth stages are collected in order to test systematic hypotheses and clarify which morphological characters are in fact taxonomically informative. Conclusions The evidence thus far collected supports the hypothesis that Triceratops, ‘Torosaurus’, and ‘Nedoceratops’ are synonymous and that ‘Torosaurus’ represents the mature morphology of Triceratops. Features suggested to indicate an ‘old adult’ ontogenetic status for USNM 2412 (rugose surface texture on frill, apparent fusion of cranial elements) are found in non-fully mature Triceratops and hence do not indicate that the ontogenetic transformation of USNM 2412 was complete. If anything, the small parietal fenestra found in this specimen supports the hypothesis that it was in the process of transitioning between the classic Triceratops and ‘Torosaurus’ morphologies. Farke 95 (2011) states that the hypothesis that USNM 2412 represents a taxon distinct from Triceratops would be refuted by “the identification of undisputed specimens of Triceratops that . . . preserve a mélange of character-states that are intermediate between known Triceratops specimens and Nedoceratops (pg. 6).” As we have presented here, there are numerous specimens of Triceratops which preserve such character-states in their nasal horn, squamosal, postorbital horn core and frill morphology thus refuting a distinct taxonomic position for ‘Nedoceratops.’ It might be argued that although the individual characters supposedly diagnostic of ‘Nedoceratops’ may be found to some degree in specimens of Triceratops and ‘Torosaurus’, it is the unique combination of these characters which distinguishes ‘Nedoceratops’ as a distinct taxon. But if this is true then nearly every specimen of Triceratops is referable to a distinct species and/or genus, for every specimen possesses some unique (if subtle) combination of characters which distinguishes it from others of the same taxon. This is the approach employed by Marsh and others which resulted in the naming of 16 species of Triceratops (Ostrom and Wellnhofer, 1986; 1990). Consideration of the radical nature of ontogenetic change that occurred in marginocephalians (Sampson, 1995; Horner and Goodwin, 2006; 2009; Currie et al., 2008; Scannella and Horner, 2010) is critical to systematic interpretations. Dinosaur specimens representing various transitional growth stages may easily be misinterpreted as distinct taxa (Rozhdestvensky, 1965; Dodson, 1975). The debate which has surrounded USNM 2412 over the last century is inherently tied to the fact that it exhibits many intermediate features, and most likely represents an ontogenetically transitional morphology. Its small parietal fenestra is exactly what is predicted to be present at some 96 point in Triceratops ontogeny as the fenestrae expanded and developed into the ‘Torosaurus’ morphology. Even if ‘Torosaurus’ were not synonymous with Triceratops, it would be more parsimonious to ascribe USNM 2412 to an immature ‘Torosaurus’ than to designate it as the holotype of a separate genus. The synonymy of Triceratops, ‘Torosaurus’, and ‘Nedoceratops’ reduces perceived latest Cretaceous ceratopsid diversity, and affects our interpretations of these animals’ paleoecology. This, along with other ontogenetic synonymies (Carr, 1999; Horner and Goodwin, 2009), also supports the hypothesis that latest Maastrichtian dinosaur diversity was reduced relative to that found earlier in the Cretaceous (Archibald, 1996). Materials and Methods The holotpye skull of ‘Nedoceratops hatcheri’, USNM 2412, was examined first- hand in order to compare proposed autapomorphies with the condition expressed in other ceratopsids. Histological samples were prepared as has been previously described (Scannella and Horner, 2010). Specimens were embedded in polyester resin, sectioned with a precision saw, ground to a desired optical contrast using a lap wheel, and polished. Acknowledgements We are grateful to M. Carrano and M. Brett-Surman for allowing examination of USNM 2412. D. Brinkman and W. Joyce (YPM), P. Sheehan (MPM), C. Mehling (AMNH), M. Goodwin and P. Holroyd (UCMP), and N. Gilmore (ANSP) provided access to specimens at their respective institutions. D. Fowler provided integral assistance 97 with the stratigraphic placement of specimens. The MOR provided support. We thank K. Baker, B. Boessenecker, P. Dodson, D. Fowler, L. Freedman, M. Goodwin, L. Hall, S. Keenan, M. Loewen, K. Padian, A.S. Ukrainsky, D. C. Woodruff, and H. Woodward for helpful discussions. E. Lamm provided assistance with histological sectioning. Excavations by the MOR field crews and preparation by C. Ancell, S. Brewer, B. Harmon, P. Hookey, J. Jette, and L. Roberts are gratefully acknowledged. Thoughtful reviews by M. Loewen and two anonymous reviewers improved the manuscript. We would especially like to thank A. Farke for stimulating conversations about USNM 2412 and for making this scientific dialogue particularly enjoyable. 98 Figure 3.1. USNM 2412, the holotype and only specimen of 'Nedoceratops hatcheri'. A. Left lateral view. B. Right lateral view. Scale bars equal 10 cm. 99 Figure 3.2. Nasal horn variation in Triceratops. A. USNM 4720, originally named the holotype of Triceratops ‘obtusus.’ This specimen preserves a very low, blunt nasal horn. B. USNM 2412, the holotype of ‘Nedoceratops hatcheri.’ The nasal horn of this specimen (if present – see discussion) is a low, smooth boss. C. UCMP 128561, originally named the holotype of ‘Ugrosaurus olsoni.’ The nasal horn of this specimen is a low rugose boss. D. MOR 981 (previously ‘Torosaurus’). This specimen bears a low boss which is undifferentiated from the nasals. Scale bars equal 10 cm. 100 Figure 3.3. Ventral view of the right half of the parietal of USNM 2412. A. When viewed with offset lighting, the rim of a shallow depression surrounding the small fenestra is apparent. B. Extent of the depression is outlined. The area within the outline is markedly thinner than the remainder of the parietal. The extent of the depression is partially obscured by the framework which supports the skull. Scale bars equal 10 cm. 101 Figure 3.4. Dorsal view of the parietal fenestra of USNM 2412. Although much of the parietal is obscured by reconstruction, a transition in surface texture from the posterior margin (red arrow) to the area immediately adjacent to and surrounding the fenestra (white arrows) is apparent. Scale bar equals 10 cm. 102 Figure 3.5. Lateral views of USNM 1201 and USNM 2142. A. Left lateral view of USNM 1201, originally named the holotype of Triceratops ‘elatus.’ Note that the ventral extremity of the squamosal (denoted by upper horizontal line) is positioned well above the alveolar process of the maxilla (denoted by lower horizontal line). B. USNM 2412, right lateral view (reversed for direct comparison with USNM 1201 which only preserves the left side of the skull; the right squamosal of USNM 2412 is more elevated than the left). The alveolar process of the maxilla is positioned on the lower horizontal line, allowing for a direct comparison with USNM 1201. Note that the squamosal is not elevated to the extent found in USNM 1201. The position of the ventral extremity above the alveolar process of the maxilla can thus not be used to distinguish ‘Nedoceratops hatcheri’ from Triceratops. Scale bars equal 10 cm. 103 Figure 3.6. Episquamosal of MOR 2975. The presence of two peaks is suggestive of midline erosion. Scale bar equals 5 cm. 104 Figure 3.7. Ventral view of the parietal of MOR 1122. A. The entire parietal with midline denoted by vertical line. Dashed rectangle indicates area of interest in B and C. B. Impressed vascular traces are found over the entire ventral surface of the parietal. Epiparietals are indicated by arrows. MOR 1122 does not appear to possess an epiparietal over the midline of the parietal. C. Major vascular traces are highlighted in red. Note that the most prominent vascular traces lead to the epiparietals (highlighted in blue). Two large vascular traces lead to the midline of the parietal (denoted by red arrow), suggesting that an epiparietal occupied this position but was lost taphonomically. Scale bars equal 10 cm. 105 Figure 3.8. Osteohistology of the postorbital horn core of MOR 981. The dense, multigenerational ‘Haversian’ tissue is indicative of a mature individual. 106 References Archibald, D.J. 1996. 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Histological evaluation of ontogenetic bone surface texture changes in the frill of Centrosaurus apertus. New Perspectives on Horned Dinosaurs, the Royal Tyrrell Museum Ceratopsian Symposium 251–263. Ukrainsky, A.S. 2007. A new replacement name for Diceratops Lull, 1905 (Reptilia: Ornithischia: Ceratopsidae). Zoosystematica Rossica 16: 292. Ukrainsky, A.S. 2009. Synonymy of the genera Nedoceratops Ukrainsky, 2007 and Diceratus Mateus, 2008 (Reptilia: Ornithischia: Ceratopsidae). Paleontologicheskii Zhurnal1: 108. Wu X-C., D.B., Brinkman, D.A., Eberth, D.R., Braman. 2007. A new ceratopsid dinosaur (Ornithischia) from the uppermost Horseshoe Canyon Formation (upper Maastrichtian), Alberta, Canada. Canadian Journal of Earth Sciences 44: 1243- 1265. 111 CHAPTER FOUR A STRATGRAPHIC SURVEY OF TRICERATOPS LOCALITIES IN THE HELL CREEK FORMATION, NORTHEASTERN MONTANA (2006-2010)  Contribution of Authors and Co-Authors Manuscript in Chapter 4 Author: John B. Scannella Contributions: Conceived the study, collected data, interpreted results, and wrote the manuscript. Co-author: Denver W. Fowler Contributions: Conceived the study, collected data, correlated stratigraphic sections, interpreted results, and contributed to the manuscript. 112 Manuscript Information Page John B. Scannella, Denver W. Fowler. Status of Manuscript: ___Prepared for submission to a peer-reviewed journal ___Officially submitted to a peer-reviewed journal ___Accepted by a peer-reviewed journal _x_Published in a peer-reviewed journal Published by the Geological Society of America Scannella J.B., and D.W. Fowler. 2014. A stratigraphic survey of Triceratops localities in the Hell Creek Formation, northeastern Montana (2006-2010). pp. 313-332 in Through the End of the Cretaceous in the Type Locality of the Hell Creek Formation in Montana and Adjacent Areas, G.P. Wilson, W.A. Clemens, J.R. Horner, and J.H. Hartman (eds.) Geological Society of America Special Paper, Boulder, Colorado. The following chapter has been published in the Geological Society of America Special Paper 503 and appears in this dissertation with the permission of the Geological Society of America. The copyright is held by the Geological Society of America.                         113     Abstract Here we provide a survey of Triceratops localities and accompanying stratigraphic data from the Hell Creek Formation of northeastern Montana. The majority of the sites discussed here were relocated or discovered during the last five years of the Hell Creek Project (1999–2010); a multi-institutional effort to record a large volume of faunal, floral, and geologic data on the Hell Creek Formation in order to test evolutionary, paleoecological, and geological hypotheses. Triceratops is the most abundant dinosaur in the Hell Creek Formation and one of the most common non-avian dinosaurs of the Upper Cretaceous. It is known from hundreds of specimens, which have been collected since it was first described in 1889. Although these specimens provide a wealth of morphological data on Triceratops, many lack detailed stratigraphic information and context. Detailed stratigraphic and contextual data for more than 70 specimens of Triceratops collected during the Hell Creek Project make this data set among the most comprehensive for any non-avian dinosaur. Introduction It was the famous horned dinosaur Triceratops that first called paleontologists to the Hell Creek Formation. W.T. Hornaday, the director of the Bronx Zoölogical Garden, returned from a 1901 hunting trip to eastern Montana with a piece of fossil bone (Brown, 1907). Henry Fairfield Osborn, director of the American Museum of Natural History 114 (AMNH) and Barnum Brown (AMNH) recognized the fossil as a segment of Triceratops horn (Brown, 1907; Dingus and Norell, 2010). By 1901, Triceratops was already known from multiple impressive specimens collected from the Lance Formation of Wyoming and broadly contemporaneous Upper Cretaceous formations of Colorado (Hatcher et al., 1907; Ostrom and Wellnhofer, 1986; Carpenter and Young, 2002). The AMNH was seeking an exhibit-quality specimen of Triceratops for its dinosaur hall and the Hornaday horn (originally discovered by settler Max Sieber) seemed a promising lead (Dingus and Norell, 2010). Osborn dispatched Barnum Brown to the area, initiating over a century of fossil collecting in the uppermost Cretaceous deposits of eastern Montana. Brown would go on to discover and collect numerous dinosaur fossils from the Hell Creek Formation, including the holotype specimen of Tyrannosaurus (Osborn, 1905); however, it was Triceratops that he encountered most frequently. “During seven years’ work, 1902–1909, in the Hell Creek Beds (Lance) of Montana I identified no less than five hundred fragmentary skulls and innumerable bones referable to this genus” (Brown, 1917, p. 281–282). Lull (1915) presented a stratigraphic survey of specimens of Triceratops from the Lance Formation of Wyoming. “I have arranged the skulls in their stratigraphic sequence, based upon all the data available at the present, but taken very largely from a study of the map . . .” (Lull, 1915, p. 341). As Ostrom and Wellnhofer (1986, p. 155) noted: “ . . . the precise stratigraphic spacing of these specimens can no longer be established,” and it has been difficult to assess the stratigraphic placement of these specimens due to the absence of more precise locality data (Farke, 1997). The detailed stratigraphy of the Hell Creek Formation in Montana is now well understood 115 (e.g., Flight, 2004; Fowler, 2009; Horner et al., 2011; Hartman et al., 2014), allowing specimens of Triceratops to be placed in a high-resolution stratigraphic context. Taxa known from greater numbers of specimens can reveal more details of systematics and development than those known from a few pristine specimens. Triceratops is now one of the best understood of all dinosaur taxa (e.g., Hatcher et al., 1907; Ostrom and Wellnhofer, 1986; Forster, 1996a; 1996b; Horner and Goodwin, 2006; 2008; Scannella and Horner, 2010; Horner and Lamm, 2011). This is, in part, due to the efforts of the Hell Creek Project, a large scale, multi-institutional (Museum of the Rockies [MOR], University of California Museum of Paleontology [UCMP], University of North Dakota [UND]) study of the fauna, flora, and geology of the Hell Creek Formation in northeastern Montana (e.g., Wilson, 2005; Goodwin and Horner, 2010; Horner et al., 2011, this volume). Since the initiation of the Hell Creek Project in 1999, field crews at the MOR alone have collected over 70 new specimens of Triceratops (Scannella and Horner, 2010; Horner et al., 2011; Appendix). Dozens more poorly preserved specimens were discovered and recorded in the field but remain uncollected (Horner et al., 2011). Many of the specimens of Triceratops collected by the MOR represent previously unrecorded ontogenetic stages, revealing new details of the developmental biology of this animal (Horner and Goodwin, 2006; 2008; Scannella and Horner, 2010). The MOR now houses one of the largest collection of Triceratops in the world, and, significantly, nearly every specimen has detailed locality records associated with it (Horner et al., 2011). In contrast, many of the specimens of Triceratops collected in the late nineteenth and early twentieth centuries have very little stratigraphic data associated 116 with them (Farke, 1997). This makes it difficult to place those specimens in precise stratigraphic position and thus test evolutionary hypotheses in detail. In many cases, fragmentary specimens with stratigraphic data can provide valuable insights unavailable from more complete skulls or skeletons lacking this data (e.g., Pearson et al., 2002; Horner et al., 2011). Here, we present a review of some significant localities of Triceratops either relocated or discovered during the later years of the Hell Creek Project (1999–2010). Firsthand accounts from those who have visited sites can be critical to future quarry relocation (e.g., Tanke, 2010), and, as such, we provide contextual information for sites that we have personally visited (Fig. 1). For each locality, we provide details of the specimen(s) collected, its relative stratigraphic position, and, for many, a stratigraphic section. Precise locality data are on record at the respective institutions. This survey will facilitate reassessment of the stratigraphic positions of these specimens, thus helping to make systematic and evolutionary hypotheses testable now and in the future. Institutional Abbreviations AMNH—American Museum of Natural History, New York, New York, USA MOR—Museum of the Rockies, Bozeman, Montana, USA MSU—Montana State University, Bozeman, Montana, USA NCSU—North Carolina State University, Raleigh, North Carolina, USA UCMP—University of California Museum of Paleontology, Berkeley, California, USA UND—University of North Dakota, Grand Forks, North Dakota, USA UW-FDL—University of Wisconsin–Fond du Lac, Fond du Lac, Wisconsin, USA 117 USNM—National Museum of Natural History, Smithsonian Institution, Washington, D.C., USA Materials And Methods The stratigraphy of the Montanan Hell Creek Formation remained poorly resolved until recently (Flight, 2004; Fowler, 2009; Hartman et al., 2014; Horner et al., 2011). Analyses within a stratigraphic framework were largely dependent on finding a nearby exposure of either the top or the bottom of the formation and measuring the distance to that contact (e.g., Wilson, 2005). This methodology, however, does not always allow for reliable placement of specimens recovered from areas in which neither the top nor the bottom contact is exposed in relatively close proximity, nor does it allow for correlation of specimens traced to the bottom contact with specimens that have been traced to the top contact without making the assumption that all exposures of the Hell Creek Formation have a consistent preserved thickness (Fowler, 2009). While the Hell Creek Formation is commonly around 90 m thick in the Fort Peck area (Wilson, 2004), this can vary by 20 m, especially based on the presence or absence of the Basal Sandstone (Brown, 1907; Flight, 2004) or incised Paleocene channels (e.g., 20 m or more removed at Bug Creek; Lofgren, 1995). The most accurate method of stratigraphic placement of localities is to measure their position relative to the upper and lower formational contacts and stratigraphic unit boundaries (Fig. 4.2; see Hartman et al., 2014; Horner et al., 2011). A sequence stratigraphic interpretation of facies shifts within the Hell Creek Formation is in preparation (Fowler, 2009). The majority of specimens included in this review are placed 118 stratigraphically relative to nearby exposures of either the upper or lower contacts. Placement relative to unit boundaries increases stratigraphic resolution. Nomenclature for unit boundaries follows Horner et al. (2011; see also Hartman et al., 2014). The Basal Sandstone is an informal name for the sandstone unit that marks the base of the lower unit of the formation. The Jen-rex Sandstone is an informal name for the sandstone unit that marks the base of the middle unit of the formation. The Apex Sandstone is an informal name for the sandstone unit that marks the base of the upper unit; it is typically located ~26–30 m below the Hell Creek–Fort Union formational contact. The 10-Meter Sandstone is the informal name for a sandstone that typically occurs ~10 m below the lower Z-coal. A 1.5 m Jacob’s staff and Brunton compass were used to take stratigraphic sections for Triceratops sites discovered by MOR crews during the Hell Creek Project from 2006 through 2010. The lower Z-coal was identified as the lowermost coal in the Fort Union Formation, although the precise stratigraphic position of this horizon can vary (Archibald et al., 1982; Swisher et al., 1993; Turner, 2010). These data were combined with stratigraphic information from the MOR archives as well as locality data for specimens from UCMP. Triceratops Localities UCMP Locality V88001 (High Ceratopsian): UCMP Specimen 137263 In 1987, along the southern margin of a local basin in close proximity to exposures of the Fort Union Formation referred to by UCMP and MOR paleontologists 119 as “the swamp” (for its organic-rich beds containing abundant champsosaurs and crocodiles), Mark Goodwin (UCMP) discovered a disarticulated skull of a subadult Triceratops weathering out of a bentonitic, dark-gray mudstone high in the underlying Hell Creek Formation (Goodwin and Horner, 2010). The site, UCMP locality V88001, “High Ceratopsian,” is stratigraphically a few meters below the base of the lower Z-coal, which defines the Hell Creek–Fort Union formational contact and, in this area, approximates the Cretaceous-Paleogene boundary. Crews from the UCMP returned to the site several times over the next few years, collecting a set of postorbital horn cores, much of the parietal-squamosal frill, a pair of unfused nasals, a jugal, and other cranial elements. In 2007, when we visited the locality with Mark Goodwin, a shallow depression was still visible in the mudstone where the skull had been removed. UCMP 137263 was not from a large individual of Triceratops, but the crews working the site had been thorough in expanding the quarry. In more recent years, it has been determined that Triceratops quarries often need to be expanded significantly to discover if more elements are preserved (Horner et al., 2011). The stratigraphic position of the locality is ~5 m below the lower Z-coal. UCMP Locality V83224 (Dave’s Nose): UCMP Specimen 128561 UCMP 128561 was originally described as a new genus of latest Cretaceous ceratopsid, “Ugrosaurus olsoni” (Cobabe and Fastovsky, 1987). The specimen, which was discovered by David Fastovsky in the summer of 1983, consists of a partial premaxilla and rostral, a partial nasal with a low nasal boss, and fragments of dentary, frill, and postcrania. Forster (1993) found that all the characters used to diagnose UCMP 120 128561 were within the range of variation seen in Triceratops and referred it to Triceratops sp. We visited the site along with Mark Goodwin, Mary Schweitzer (NCSU), and Liz Johnson (NCSU) on 8 July 2007. Because the majority of the fossil material was collected as float, remnants of a quarry were not apparent. Based on maps and field notes, we narrowed the location of the site to a gray-green mudstone on one side of a small tributary. The locality falls within the middle unit of the Hell Creek Formation, roughly 30 m below the local formational contact as initially reported by Cobabe and Fastovsky (1987). The specimen exhibits a nasal boss morphology, which is similar to that seen in several specimens of Triceratops (e.g., MOR 981, MOR 1122) from the lower half of the Hell Creek Formation. Similar morphologies are also found in some specimens collected from the Lance Formation, for which detailed stratigraphic data are not available (USNM 2412, USNM 4720). Whether the boss morphology represents the ontogenetic transformation of a pre-existing nasal horn (as is seen in some centrosaurines [Sampson, 1995; Currie et al., 2008]), pathology (Horner and Goodwin, 2008), or individual variation are competing hypotheses that cannot be rejected at this time and are under study by Hell Creek Project participants. UCMP Locality V88081 (Russell Basin Triceratops): UCMP Specimen 136092 In 1981, Dale Russell and Helen Michel discovered UCMP 136092, a nearly complete skull (missing the snout, jaws, and beak). We visited the area with Mark Goodwin and Mary Schweitzer on 10 July 2007. With only the plotted location on a topographic map and the lithologic description, we were unable to locate any remnants of 121 an old quarry. A deep excavation had not been required to collect the skull, which had been preserved on its side, laterally compressed and covered by very little overburden (W.A. Clemens, pers. comm, 2011; Fig. 4.3). On a previous visit to the UCMP, one of us (Scannella) had examined the jacket of UCMP 136092 and noted the dark gray mudstone partially covering the skull (Fig. 4.3). While in the field and the area of the Russell Basin Triceratops, we located a dark gray mudstone horizon and eventually came upon bits of old plaster that we believe are from the original quarry (Fig. 4.4). The quarry was positioned just below a prominent sandstone ~6–10 m below multiple thin organic rich horizons, one of which represents the lower Z-coal (Fig. 4.4, C). As noted by Goodwin and Horner (2010), several other specimens of Triceratops were found weathering out of the same mudstone horizon within a kilometer of UCMP locality V88081. UCMP Locality V75046 (Ruben’s Triceratops): UCMP Specimen 113697 In 1970, then graduate student John Ruben discovered the skull of a large specimen of Triceratops in the Hell Creek Formation in the Bug Creek area of McCone County, Montana (Fig. 5). The stratigraphy in the Bug Creek area is notoriously problematic (Lofgren, 1995). Specifically, the local contact between the Hell Creek and Fort Union formations is obscured by what is now understood to be a Paleocene sandstone channel deposit that formed by incision of latest Cretaceous-aged Hell Creek Formation deposits (Lofgren, 1995). The Triceratops quarry was in a mudstone bed in the saddle of a low set of hills. Upon tracing the beds laterally across the area, we found a thin coal and a dinosaur- bearing sandstone stratigraphically above it that we identified as the Apex Sandstone, 122 which marks the base of the upper sequence of the Hell Creek Formation (Horner et al., 2011). The lower Z-coal is not present in the area surrounding UCMP locality V75046, likely having been scoured out by a Paleocene channel that incised down some 30 m or more from the Fort Union Formation. UCMP locality V75046 is stratigraphically very high in the middle unit of the Hell Creek Formation, ~6 m below the Apex Sandstone. MOR Locality HC-135 (MORT): MOR Specimen 004 MOR 004 is a specimen that represents a large individual of Triceratops from the upper part of the Hell Creek Formation. It was discovered by Norman Constenius and was collected by Mick Hager in 1981 (Fig. 4.6). MOR 004 was the first specimen of Triceratops collected by the MOR. The site name, “MORT,” is an acronym for “Museum of the Rockies Triceratops.” On 12 July 2007, we visited the locality, which is in a sandstone ~6 m stratigraphically below the lower Z-coal. We also located and recorded locality data for several other poorly preserved skulls of Triceratops within one half of a kilometer of MOR locality HC-135. MOR Locality HC-425 (Afternoon Delight): MOR Specimen 2569 In 2006, MOR volunteer Sonya Scarff discovered the partial skull of a very young juvenile Triceratops (MOR 2569) in a gray mudstone ~6 m below the top of prominent hill in the Lost Creek Bay area (MOR locality HC-425; “Afternoon Delight”). MOR 2569 is one of the most complete specimens of Triceratops known that represents this early stage of ontogeny. Material collected from the locality includes the parietal, squamosals, 123 a postorbital horn core, quadrates, and a partial maxilla (see Goodwin and Horner, 2010). The locality is in the lower part of the middle unit of the Hell Creek Formation (Fig. 4.1). MOR Locality HC-531 (Lauren’s Trike): MOR Specimen 2938 Lauren Berg discovered a partial skull of Triceratops (MOR 2938) weathering out of a gray mudstone roughly 2 m above the base of a small hill (16 July 2007). Among the material collected from the site (MOR locality HC-531) were the nasal horn, a dentary, maxilla, partial parietal, and sections of other cranial bones. MOR locality HC-531 was measured at ~10 m below the lower Z-coal (Fig. 4.7,section 1). The drainage of Short Creek (~200 m south of MOR locality HC-531) is extremely productive, particularly for material of Triceratops. MOR Locality HC-520 (Joe’s Half Day Trike): MOR Specimen 2923 A short distance from MOR locality HC-531, film director Joe Johnston discovered the skull of a large Triceratops (MOR 2923). MOR locality HC-520 is stratigraphically slightly lower than MOR locality HC-531; it was found in a prominent sandstone that we believe can be stratigraphically correlated with a sandstone that is typically ~10 m below the lower Z-coal (Fig. 4.7, section 1). The skull was lying with its ventral side up and the underside of the parietal exposed (Fig. 4.8A). Whereas MOR 2938, which was found in mudstone, was disarticulated and three-dimensionally distorted post mortem, MOR 2923 was articulated, largely undistorted, and in excellent condition (Fig. 4.8B). This taphonomic pattern (correlation between lithology and degree of 124 articulation in specimens of Triceratops) was noted by Goodwin and Horner (2010). MOR locality HC-520 also produced a shed Tyrannosaurus tooth and leaf impressions. MOR 2923 preserves six epiparietals adorning the parietal with no evidence of one straddling the midline (Scannella and Horner, 2010). Triceratops had previously been described as possessing five epiparietals, one of which caps the midline of the frill (Forster, 1996a; 1996b). It is relatively rare to find all of the epiparietals attached to the parietal margin as they were likely removed during postmortem transport and burial (Horner and Goodwin, 2008). MOR 1122, a specimen of Triceratops (“Torosaurus” morph; Scannella and Horner, 2010 originally described by Farke, 2007) from the lower part of the Hell Creek Formation (the locality [MOR locality HC-258] is positioned at the bottom of the Basal Sandstone), preserves 12 epiparietals. Whether variation in epiparietal count is indicative of stratigraphic, ontogenetic, or individual variation is a research question currently under study by researchers at the MOR. MOR Locality HC-702 (JD Trike12): MOR Specimen 3056 and MOR Locality HC-541 (JD Trike14): MOR Specimen 2950 In 2007, we encountered numerous specimens of Triceratops of varying degrees of preservation. Those in poor shape were recorded and left uncollected in the field. Others that were collected provide information on ontogenetic changes in cranial morphology. MOR 3056 is a squamosal and postorbital horn core of a juvenile Triceratops that was exposed on a small gray mudstone bluff ~7 m stratigraphically below the lower Z-coal (Fig. 4.9). MOR 3056, though only represented by two elements, exhibits morphologies that are useful for testing hypotheses about ontogenetic variation 125 and documenting patterns of growth and development (Horner and Goodwin, 2006; Goodwin and Horner, 2010). Less than 100 m from MOR locality HC-702, and ~2 m higher in section, we found a partially disarticulated skull of a subadult Triceratops (MOR 2950 at MOR locality HC-541; Fig. 4.10) weathering out of a mudstone. This specimen preserves most of a squamosal, section of parietal, braincase, quadrate, frill epiossifications, and epijugal. MOR Locality HC-426 (Mark’s Scavenged Trike): MOR Specimen 2570 and MOR Locality HC-639 (Anky Breaky Heart): MOR Specimen 3011 In 2006, Mark Goodwin discovered MOR specimen 2570, a partial young adult skull, in a gray mudstone (MOR locality HC-426; Mark’s Scavenged Trike”; see Goodwin and Horner, 2010). It was found in an area where the formational contacts are not visible. In 2009, we identified the middle to upper depositional unit boundary (Apex Sandstone) in this area and the lower Z-coal ~1.5 miles (2.4 km) farther south. MOR locality HC-426 is ~25 m stratigraphically below the base of the upper unit (Fig. 4.11, section 2). In 2009, Holly Woodward discovered the partial skull of a Triceratops in a low mudstone bluff less than 0.5 km west of MOR locality HC-426. The specimen (MOR 3011) preserves a partial parietal, nasal, epinasal, maxilla and premaxilla. The locality (MOR locality HC-639; “Anky Breaky Heart”) is at approximately the same stratigraphic level as MOR locality HC-426 (Fig. 4.11, section 2). 126 MOR Locality HC-430 (Quittin’ Time): MOR Specimens 2574 and 2702 The Quittin’ Time Bonebed was discovered by Laura Wilson in 2006. The specimens of Triceratops were found in a mudstone 17 m stratigraphically below the lower Z-coal. Collected material includes partial skulls of a juvenile, subadult, and large, young adult Triceratops. The taphonomy of this site is discussed in detail by Keenan and Scannella (2014). MOR Locality HC-521 (Lon’s Trike): MOR Specimen 2924 In 2007, Lon Bolick, a retired psychology professor (UW-FDL), discovered a specimen of Triceratops north of Jordan near Brownie Butte. The Hell Creek Formation and overlying Fort Union Formation have been extensively studied in this area (e.g., Archibald, 1982; Fastovsky, 1987). Jack Horner (MOR, MSU), who initially inspected the site (MOR locality HC-521), collected a partial braincase that was found as float on the surface of a sandstone horizon from the Apex Sandstone. We later collected the remainder of a nearly complete skull of a subadult Triceratops (MOR 2924) as well as much of the right forearm, several vertebrae (including articulated caudals), and ribs. A nearly complete crocodile skull, invertebrates, and palm impressions were also found at the site. MOR 2924 preserves the skull and postcrania of a subadult Triceratops. This allows for study of correlations between skull and postcranial morphology in ontogeny. Whereas Triceratops cranial material is common in the Hell Creek Formation, associated postcrania are rare (Horner et al., 2011). After the excavation was concluded, an isolated postorbital horn core (MOR 3057 from MOR locality HC-114) as well as other material 127 of Triceratops was discovered in the upper unit of the Hell Creek Formation within one kilometer of MOR locality HC-521. MOR Locality HC-571 (Seth’s Trike): MOR Specimen 2979 and MOR Locality HC-543 (TriSarahTops): MOR Specimen 2980 On August 6, 2008, MOR volunteer Seth Bainbridge discovered weathered fossil bone scattered over a hard, gray mudstone in the upper unit of the Hell Creek Formation (Figs. 4.12, 4.13A). In the nearby hill, two Triceratops postorbital horn cores were discovered in situ (MOR locality HC-571; “Seth’s Trike”; MOR 2979). MOR 2979 consists of a partial skull in good condition, preserving the postorbital horn cores, frontoparietal fontanelle morphology (sensu Farke, 2010), and braincase region as well as pieces of frill and premaxilla (Fig. 4.13B). About a hundred meters east of MOR locality HC-571, Sarah Keenan discovered a site with a poorly preserved specimen of Triceratops (MOR locality HC-543; “TriSarahTops”). The best-preserved bone at the site is a squamosal (MOR 2980) that was collected. MOR Locality HC-544 (DFJuvieTrike3): MOR Specimen 2951 and MOR Locality HC-627 (Situ But Sad): MOR Specimen 2999 On 22 June 2008 Fowler discovered the most complete juvenile Triceratops so far reported (MOR 2951). The site was named “DFJuvieTrike3” (Fig. 14A). Small bone fragments on the surface of a dark gray mudstone were identified as part of the jugal of a very young Triceratops (Fig. 14B). A fragmentary rib was found eroding out of the same horizon. Excavation of MOR locality HC-544 (2008, 2009) produced a nearly complete and well-preserved juvenile skull, along with postcranial material including limb bones, 128 ribs, vertebrae, a scapula, and an ilium. The specimen was placed at ~4 m stratigraphically above the Apex Sandstone, in the upper unit of the formation (Fig. 4.7, section 3). MOR 2951, which is currently under study, will provide a wealth of information on the ontogeny of the skeleton of Triceratops. Nearly 1.5 km southeast of MOR locality HC-544, Fowler and Michiel Pillet discovered what initially appeared to be the partial parietal of a Triceratops weathering out of a mudstone near the base of a small hill. The locality (MOR locality HC-627; “Situ but Sad”) was excavated and produced a partial skull from a subadult Triceratops (MOR 2999). Most of the posterior of the skull was preserved, including both postorbital horn cores and the braincase. An unfused nasal was also found at the site. MOR locality HC- 627 is very high in the upper unit of the Hell Creek Formation (~7 m below the lower Z- coal; Fig. 4.7, section 5). MOR Locality HC-565 (Supernasal): MOR Specimen 2972 and MOR Locality HC-628 (Ashes Trike): MOR Specimen 3000 Several specimens of Triceratops were collected from within two kilometers of MOR locality HC-544. On 23 June 2008, Fowler found an isolated large juvenile horn core (MOR 2958; MOR locality HC-500; “DF Juvie-Horncore”). He subsequently discovered a very large nasal horn in the Apex Sandstone (MOR locality HC-565; “Supernasal”; Fig. 4.7, section 3) within 200 km of MOR locality HC-500. In addition to the nasal horn, MOR locality HC-565 produced a partial squamosal, braincase, jugal, and postcranial elements (MOR 2972). 129 Near MOR locality HC-565, Scannella discovered the partial skull of a large Triceratops weathering out of a dark gray mudstone horizon ~14 m stratigraphically below the lower Z-coal (MOR 3000; MOR locality HC-628; “Ashes Trike”; Fig. 4.7, section 2). The locality, which was excavated in 2009, produced a postorbital horn core, partial parietal, squamosal, dentary, and scapula. MOR Locality HC-573 (Three Amigos): MOR Specimen 2982 and MOR Locality HC-576 (Six O’Clock Trike): MOR Specimen 2985 In 2008, Lee Hall discovered a nasal horn weathering out of a dark gray mudstone horizon (MOR 3055; MOR locality HC-1026; “Brown Nose”) ~1 km north of Pennick Coulee. The locality is ~100 m away from a partial skeleton of a Tyrannosaurus (MOR 2925) found weathering out of a gray mudstone (Hall and Keenan, 2010). MOR 2925 and MOR 3055 occur low in the middle unit of the formation (Fig. 4.15, section 2). Several more specimens of Triceratops were found in this area, the most complete being a partial subadult skeleton discovered by Lee Hall and volunteers Seth Bainbridge and Michael Flowers (MOR 2982; MOR locality HC-573; “Three Amigos”; Fig. 4.15, section 2). MOR 2982 was collected from a dark gray bentonitic mudstone low in the middle unit and consists of a partial skull including postorbital horn core, nasal horn, partial squamosal, midline of the parietal, dentary, rostral, and associated postcrania. Less than half a kilometer from the Tyrannosaurus quarry (MOR locality HC- 522), Bob Harmon discovered a large squamosal of a Triceratops weathering out of a mudstone horizon. In addition to the squamosal, the site (“Six O’Clock Trike”; MOR locality HC-576) produced a partial parietal, and associated postcrania. This specimen 130 (MOR 2985) is significant as it occurred ~12 m below MOR locality HC-522 (“Brown Nose”), in the upper part of the lower unit (Fig. 4.15, section 2; see Discussion). MOR Locality HC-532 (Ducky Tail): MOR Specimen 6648 In 2007, Bob Harmon discovered articulated caudal vertebrae of an Edmontosaurus (MOR 2939) leading into a sandstone horizon within the upper unit of the formation. In 2009, during excavation at the locality (MOR locality HC-532; “Ducky Tail”), an MOR crew led by Alessandro Carpana discovered the parietal, squamosal, and ilium of a juvenile Triceratops amongst the hadrosaur material. Several other specimens of Triceratops were found within two kilometers of MOR locality HC-532, most notably the complete skull of a large Triceratops (MOR 3004; MOR locality HC-633; “The Horn Resounding”) discovered by Becky Schaff ~22 m stratigraphically below the Apex Sandstone (Fig. 4.11, section 1). HC-633 also produced some postcranial material. MOR 3004 awaits preparation at the MOR. Less than a hundred meters from MOR locality HC-633, Bobby Ebelhar found a disarticulated skull weathering from a stratigraphically lower dark gray mudstone layer. This site (MOR locality HC-634; “Antsy Trike”; MOR 3005; Fig. 4.11, section 1) produced an unfused nasal, partial parietal, and some postcranial material. Paul Ullmann collected an isolated nasal horn (MOR 3008; MOR locality HC-636; “American Beauty”; Fig. 4.11, section 1) from the base of the Apex Sandstone in this area. 131 MOR Locality HC-638 (Golden Goose): MOR Specimen 3010 In 2009, Fowler and Bobby Ebelhar discovered an area (~400 m2) that produced several fragmentary Triceratops and was called “Trikey Town”. A ~3 m-thick mudstone horizon, produced the majority of the material. The locality produced Triceratops from the lower part of the middle unit of the Hell Creek Formation (Fig. 4.11, section 3). MOR 3010 (“Golden Goose”), a partial skull of a small Triceratops, was the most complete specimen collected from the area. The quarry (MOR locality HC-638) produced a nasal horn, postorbital horn core, dentary and other more fragmentary material. In addition to Triceratops, the area contained a rich fossil macrosite with concentrated remains of several taxa including fish, turtles, crocodiles, and dinosaurs. MOR Locality HC-668 (Yoshi’s Trike): MOR Specimen 3027 and MOR Locality HC-682 (Cliffhanger): MOR Specimen 3045 MOR 3027 is an exquisitely preserved large disarticulated skeleton of Triceratops discovered by Yoshi Katsura in 2010. The specimen was collected from a mudstone high in the middle unit of the Hell Creek Formation (~5.5 m stratigraphically below the Apex Sandstone; Fig. 4.15, section 5; Fig. 4.16). Although on the surface the specimen did not look very promising, excavation in 2010 and 2011 revealed one of the most productive MOR Triceratops localities (MOR locality HC-668). Less than half a kilometer from MOR locality HC-668, Yoshi discovered a subadult Triceratops weathering out of a mudstone horizon in a shear hillside. This locality (MOR locality HC-682; “Cliffhanger”), like MOR locality HC-668, is positioned 132 very high in the middle unit (Fig. 4.15, section 5). A disarticulated partial skull (MOR 3045) was collected from the site. MOR Locality HC-716 (Little Horny Devil): MOR Specimen 3064 MOR 3064 is a partial skull of a small juvenile Triceratops, consisting of a brow horn, quadrate, partial squamosal, both jugals, partial quadratojugal, numerous frill epiossifications, and other cranial material. It was discovered by Fowler, Aaron Medford, Nick Resar and Rebecca Cook at the southern end of Pennick Coulee. The specimen was recovered from a horizon ~13 m stratigraphically below the Apex Sandstone (MOR loc HC-716; Fig. 4.15, section 4). MOR 3064 is approximately the size of MOR 2951, which is from above the Apex Sandstone, hence the specimens will facilitate comparison of ontogenetic trajectories between Triceratops from the upper middle and lower upper unit of the Hell Creek Formation. Approximately 100 m south of MOR locality HC-717, Fowler discovered a postorbital horn above the Apex Sandstone (MOR 3047; MOR locality HC-697; "Got the Horn"; Fig. 4.15, section 4). Discussion And Conclusions Lull (1933: p. 123) stated: “There is infinite variation in all Triceratops skulls.” Due to the morphological variability seen among specimens, Triceratops has been the source of considerable systematic confusion since its initial description. As many as 16 species of Triceratops have been named, many of which are based on the slightest of variations in cranial morphology (Ostrom and Wellnhofer, 1986; 1990; Dodson, 1996). Forster (1996b) argued that the characters that had been used to erect these taxa likely 133 represented intraspecific variation in only two species: T. horridus and T. prorsus. Much of the variation found in Triceratops is likely due to changes that occurred through ontogeny (Horner and Goodwin, 2006; 2008; Scannella and Horner, 2010). Another important consideration for dinosaur systematics is that morphology may vary with stratigraphy (e.g., Evans et al., 2006). Evolutionary change through the Hell Creek Formation may have contributed to morphological variation seen in Triceratops (Scannella and Fowler, 2009). The database of Triceratops specimens compiled during the Hell Creek Project is among the most comprehensive for any non-avian dinosaur in a single study area. It includes not only a large sample of Triceratops specimens from multiple ontogenetic stages, but each specimen is accompanied by detailed stratigraphic positional data as well. This stratigraphic survey forms the basis for ongoing research into the evolution of Triceratops (e.g., Scannella and Fowler, 2009; Scannella, 2010). From this database, analyses may be able to tease apart the relative contributions of ontogeny and evolution to the morphological variation of Triceratops from the Hell Creek Formation. Every specimen of Triceratops, whether a complete skull or an isolated epinasal, might hold valuable research information if considered in stratigraphic context. Moreover, this survey suggests that a reliance on holotypes in phlyogenetic analyses may place undue focus on a single morphologic variant and may actually obscure stratigraphic and ontogenetic variation (e.g., Mayr, 1959; Scannella and Horner, 2010). This survey highlights the importance of targeted fossil collecting within a stratigraphic context. Ideally, an ontogenetic series of Triceratops specimens would be collected for each depositional unit of the Hell Creek Formation in order to detail 134 evolutionary and heterochronic trends (Scannella, 2010). Several specimens of Triceratops have been collected from the lower unit of the Hell Creek Formation (Horner et al., 2011), including a nearly complete, disarticulated skull of a subadult (MOR 1120; MOR locality HC-256 [“Getaway Trike”]; see Goodwin and Horner, 2010) and the most complete skull of an adult known ( = ”Torosaurus”; MOR 1122 [but see also Farke, 2011; Longrich and Field, 2012]); however, sampling of the ontogenetic series for the lower unit remains far less complete than those for the middle and upper units. A small juvenile from this stratigraphic interval, for example, would reveal insights into chasmosaurine heterochrony. Future field work will target the lower part of the Hell Creek Formation in order to increase resolution of trends in Triceratops morphological variation. Acknowledgments We are especially grateful to Jack Horner for advice, assistance, and constant support. Special thanks also to Mark Goodwin for assistance and encouragement throughout. Carrie Ancell, Susan Brewer, Bob Harmon, Patsy Hookey, Jamie Jette, and Linda Roberts prepared specimens. We thank all of the Museum of the Rockies (MOR) field crews, who contributed to the findings of the Hell Creek Project, and everyone who has discovered or collected a Triceratops for the MOR collections. The Twitchell, Taylor, Trumbo, Holen, and Isaacs families granted access to lands. The Bureau of Land Management, U.S. Fish and Wildlife Service, Charles M. Russell National Wildlife Refuge, and the Montana Department of Natural Resources and Conservation granted 135 collection permits to J. Horner and MOR over the course of the Hell Creek Project. Montana Fish Wildlife and Parks hosted MOR crews during the early years of the Hell Creek Project. Sarah Keenan and Leigha King provided invaluable field assistance. We thank Bill Clemens and Laura Wilson for sharing stratigraphic data. We thank Bobby Boessenecker, Lon Bolick, Bill Clemens, Peter Dodson, David Evans, Andy Farke, Liz Freedman, Mark Goodwin, Lee Hall, Joe Hartman, John Hoganson, Michael Holland, Jack Horner, Mark Loewen, Kevin Padian, Dean Pearson, Kari Scannella, Mary Schweitzer, Darrin Strosnider, Dave Varricchio, Dave Weishampel, Greg Wilson, and Holly Woodward for helpful comments and conversations. Two anonymous reviewers provided helpful comments that improved the manuscript. Editorial comments from Greg Wilson and W.A. Clemens improved the manuscript. Funding was provided by MOR Paleo, the donors to the Hell Creek Project, and the Smithsonian Institution. Grants from the Welles Fund of the University of California Museum of Paleontology to Scannella and Fowler are gratefully acknowledged. We are thankful for North American Paleontological Convention student travel grants (2009). 136 Figure 4.1. Collection areas for specimens of Triceratops discussed in the text, south Fort Peck Lake in Garfield and McCone Counties, Montana. 1—Brownie Butte; 2—Gilbert Creek; 3—Pennick Coulee; 4—Lone Tree Creek; 5—Lost Creek; 6—Short Creek; 7— Bug Creek. More detailed locality data are on file at the Museum of the Rockies and are available to qualified researchers upon request. 137 Figure 4.2. Relative positions of Triceratops localities discussed in the text superimposed on a generalized section. Localities are plotted based on stratigraphic position, not by facies. Because unit thicknesses vary among outcrops, the relative positions of localities from different sections are approximate at the meter scale. Placement of localities within subunits (e.g., middle unit–upper part; see Appendix) is accurate. Position of the Cretaceous-Paleogene (K-Pg) boundary varies in northern Montana (Turner, 2010). Scale in meters. SS—sandstone. Kfh-Fox Hills Formation. Khc-Hell Creek Formation. 138 Figure 4.3. The Russell Basin Triceratops (University of California Museum of Paleontology [UCMP] 136092), photographed while still under preparation at the UCMP. Right lateral view of skull. 139 Figure 4.4. Relocating the Russell Basin Triceratops quarry (University of California Museum of Paleontology [UCMP] locality V88081). (A) Scannella standing at the site. (B) A small amount of plaster found at the site. (C) Fowler standing just above the stratigraphic level of UCMP locality V88081. 140 Figure 4.5. Ruben’s Triceratops (University of California Museum of Paleontology [UCMP] locality V75046). (A) Excavation under way in 1970 (image by J.T. Gregory, courtesy of UCMP). (B) Fowler and Sarah Keenan taking a stratigraphic section at the site in 2007. Arrow indicates quarry site. 141 Figure 4.6. Museum of the Rockies (MOR) Triceratops (MORT; MOR 004), jacketed and awaiting collection in 1981. Note the prominent coals of the Fort Union Formation in the background. Image courtesy of MOR. 142 Figure 4.7. Correlation of measured sections and Museum of the Rockies (MOR) Triceratops localities, ~4.5 km across the Short Creek area (Garfield County, Fig. 4.1, locality 6) from northwest to southeast. This area includes exposures of the upper part of the Hell Creek Formation (Khc) up to the contact with the Fort Union Formation (Pgfu). Section 1 taken at HC-531. Section 2 taken at HC-628. Section 3 taken at HC-500. Section 4 taken at site HC-432 (“Snap Creek,” which produced an isolated nasal horn [Museum of the Rockies (MOR) 2576]). Section 5 taken at site HC-627. Scale in meters. 143 Figure 4.8. Joe’s Half Day Trike (Museum of the Rockies [MOR] locality HC-520). (A) Joe Johnston uncovers MOR specimen 2923. It was preserved ventral side up (the ventral surface of its parietal is exposed here) in the 10-Meter Sandstone. The lower Z-coal is exposed in the hills in the background. Image by Kari Scannella, courtesy of MOR. (B) MOR 2923 after preparation. This specimen preserves a nearly complete posterior parietal margin; the remaining pieces are housed in a cabinet in collections at MOR. 144 Figure 4.9. Fowler discovers JDTrike12 (Museum of the Rockies [MOR] specimen 3056) eroding from a gray mudstone stratigraphically high in the upper unit of the Hell Creek Formation. 145 Figure 4.10. JDTrike14 (Museum of the Rockies [MOR] locality HC-541). (A) Scannella and Sarah Keenan at the quarry, only a few meters below the lower Z-coal. (B) Some of the elements originally surface collected from the site, including an epijugal and frill epiossification, which provide information on the ontogenetic status of the individual (MOR 2950). The specimen represents a subadult Triceratops. Scale bar is 5 cm. 146 Figure 4.11. Correlation of measured sections and Museum of the Rockies (MOR) Triceratops localities ~2.5 km across Lost Creek Bay area (Garfield County, Fig. 1, locality 5) from north to south. This area exposes the lower middle part of the Hell Creek Formation (Khc), up to the contact with the Fort Union Formation (Pgfu). Section 1 taken at HC-633. Section 2 taken at HC-426. Section 3 taken at HC-638. Section 4 taken at HC-532. Scale in meters. 147 Figure 4.12. Museum of the Rockies (MOR) locality HC-571 plotted on measured section, Brownie Butte (Garfield County; Fig. 1, locality1). This area includes exposures of the upper part of the Hell Creek (Khc) and the lower part of the Fort Union Formations (Pgfu). Scale in meters. 148 Figure 4.13. Seth’s Trike (Museum of the Rockies [MOR] locality HC-571). (A) Seth Bainbridge and Sarah Keenan at the site. (B) MOR 2979 after preparation; additional cranial elements were also recovered from the site. 149 Figure 4.14. DFJuvieTrike3 (Museum of the Rockies [MOR] locality HC-544). (A) Liz Freedman at the site. (B) A partial jugal that was found as float at the site. (C) A left postorbital horn core is exposed during collection of the specimen. MOR 2951 is one of the most complete juvenile specimens of Triceratops ever discovered. Ruler is 15 cm in length. 150 Figure 4.15. Correlation of measured sections and Museum of the Rockies (MOR) Triceratops localities across ~6.5 km of the Pennick Coulee area (Garfield County, Fig. 1, locality 3) from northwest to southeast. This area includes a complete section of the Hell Creek Formation (Khc). Section 1 taken at NW Pennick Coulee. Section 2 taken at N Pennick Coulee. Section 3 taken at E Pennick Coulee. Section 4 taken at HC-716. Section 5 taken at HC-668. Scale in meters. Kfh-Fox Hills Formation. Pgfu-Fort Union Formation. 151 Figure 4.16. Yoshi’s Trike (Museum of the Rockies [MOR] locality HC-668). This locality is very high in the middle unit, ~5.5 m below the Apex Sandstone. 152 A PP EN D IX 4 .1 . C A TA LO G U ED M O R S PE C IM EN S O F TR IC ER AT O PS F R O M T H E H EL L C R EE K F O R M A TI O N Lo c. n o. Sp ec . n o. Lo ca lit y C ol l.y ea r C ol le ct or U ni t M at er ia l H C -1 35 M O R 0 04 M O R T 19 81 M . H ag er a nd cr ew U pp er u ni t ( up pe r pa rt) A rti cu la te d sk ul l, di st al p os to rb ita l h or n co re s re co ns tru ct ed H C -1 02 2 M O R 3 35 H & M T rik e Pa rie ta l 19 85 J. H or ne r a nd R . M ak el a Lo w er u ni t Pa rie ta l H C -1 99 M O R 5 39 Tr um bo R an ch 19 87 D . R as m us se n T. B .D . Pa rti al d is ar tic ul at ed ju ve ni le sk ul l i nc lu di ng po st or bi ta l h or n co re s, rig ht e xo cc ip ita l H C -0 69 M O R 5 98 W an ke l T -R ex 19 89 J. H or ne r U pp er u ni t Ep in as al H C -0 69 M O R 5 99 W an ke l T -R ex 19 89 J. H or ne r U pp er u ni t Pa rti al m ax ill a H C -1 96 M O R 6 22 En gd ah l T rik e 19 89 J. H or ne r U pp er u ni t Pa rti al sk ul l a nd a ss oc ia te d po st cr an ia l m at er ia l; sc ap ul a an d hu m er us p re pa re d H C -0 85 M O R 6 52 M al on ey H ill N 19 90 C . A nc el l U pp er u ni t Ju ve ni le sq ua m os al H C -0 69 M O R 6 69 W an ke l T -R ex 19 90 B . H ar m on U pp er u ni t Pa rti al b ra in ca se H C -0 69 M O R 6 70 W an ke l T -R ex 19 90 B . H ar m on U pp er u ni t Pa rti al b ra in ca se H C -1 08 M O R 6 99 Ir v’ s Tr ic er at op s 19 91 D . G ab rie l ?L ow er u ni t Sk ul l, la ck in g na sa l h or n an d as so ci at ed w ith p os tc ra ni a in cl ud in g ca ud al v er te br ae , d or sa l v er te br ae , p ub is , r ib s - s ku ll cu rr en tly o n di sp la y at M ak os hi ka S ta te P ar k V is ito r C en te r H C -1 72 M O R 7 99 B ite T rik e 19 95 K . O ls on T. B .D . Sa cr um H C -1 77 M O R 9 65 M ic ke y’ s Tr ik e 19 96 B . H ar m on a nd C . A nc el l T. B .D . Pa rti al sk ul l i nc lu di ng n as al h or n, se ct io ns o f p ar ie ta l an d sq ua m os al m ar gi n, ju ga l H C -1 92 M O R 9 66 19 96 J. H or ne r T. B .D . N as al h or n H C -1 88 M O R 9 81 TO R O I 19 91 K . O ls on Lo w er to lo w es t m id dl e un it A rti cu la te d sk ul l m is si ng le ft ju ga l a nd le ft ha lf of fr ill H C -1 91 M O R 9 87 2/ 4/ D ay S ite 19 97 J. H or ne r T. B .D . - 5 0 ft (1 5 m ) be lo w K -P g Pa rti al b ra in ca se H C -1 93 M O R 9 89 Po m pe y 19 97 M cK in le y T. B .D . Ep in as al , p ar tia l r os tra l H C -2 09 M O R 1 05 3 Jo hn st on L ea se 19 91 P. L ei gg i T. B .D . B ab y po st or bi ta l h or n co re H C -2 10 M O R 1 05 9 H ow el l L ea se 19 91 Le ig gi a nd H an so n T. B .D . B as io cc ip ita l a nd o cc ip ita l c on dy le H C -2 35 M O R 1 09 8 ‘F is k’ 19 99 B . H ar m on Lo w er u ni t Po st or bi ta l h or n co re H C -2 49 M O R 1 10 9 C el es tia l C la m B ed 19 99 B . H ar m on a nd 19 99 c re w Lo w er u ni t Fr ag m en ta ry sk el et on in cl ud in g ep iju ga l, ve rte br a, to ot h H C -2 50 M O R 1 11 0 SG -5 19 99 19 99 M O R c re w U pp er u ni t D is ar tic ul at ed sk ul l ( se e H or ne r a nd G oo dw in , 2 00 6) H C -2 56 M O R 1 12 0 G et aw ay T rik e 19 99 B . H ar m on a nd cr ew Lo w er u ni t D is ar tic ul at ed sk ul l ( se e H or ne r a n   d G oo dw in , 2 00 6) 153 A PP EN D IX 4 .1 . C A TA LO G U ED M O R S PE C IM EN S O F TR IC ER AT O PS F R O M T H E H EL L C R EE K F O R M A TI O N Lo c. n o. Sp ec . n o. Lo ca lit y C ol l.y ea r C ol le ct or U ni t M at er ia l H C -2 58 M O R 1 12 2 TO R O II 20 00 B . H ar m on , K . O ls on , c re w Lo w er u ni t A rti cu la te d sk ul l H C -2 65 M O R 1 12 9 C oy ot e B as in 20 00 J. H or ne r U pp er u ni t Pa rti al d is ar tic ul at ed sk ul l i nc lu di ng co re , o cc ip ita l c on dy le , a nd p re de nt ar p os to rb ita l h or n y H C -2 67 M O R 1 13 3 La rr y’ s B O 20 00 L. B oy ch uk Lo w er u ni t B as al b ra in ca se H C -2 83 M O R 1 15 7 #7 3 Si te 20 01 M . G oo dw in Lo w er u ni t B ra in ca se H C -2 85 M O R 1 16 0 H ea ve n Si te 20 01 J. H or ne r a nd 2 00 1 cr ew Lo w er u ni t El em en ts o f f or el im b (a ss oc ia te d) H C -2 87 M O R 1 16 2 B an da na S ite 20 01 M . G oo dw in a nd J. H or ne r Lo w er u ni t A ss oc ia te d sk el et al e le m en ts H C -2 93 M O R 1 16 7 C el es te ’s M ag . M ic ro S ite 20 01 C . H or ne r a nd J. H or ne r Lo w er u ni t Ju ve ni le e pi na sa l ( se e H or ne r a nd G H C -3 00 M O R 1 17 1 A lla rd #4 20 00 K . O ls on T. B .D . B ra in ca se oo dw in , 2 00 8) H C -3 01 M O R 1 17 4 Tr ic er at op s Sa cr um S ite 19 95 K . O ls on T. B .D . La rg e sa cr um , i sc hi a, p ub is H C -3 08 M O R 1 18 6 M ar k’ s T rik e 20 02 B . C hi nn er y an d cr ew Lo w er u ni t Pa rti al sk ul l - a ss oc ia te d po st cr an ia H C -3 10 M O R 1 18 8 Tr ic er at op ol is 20 02 J. H or ne r Lo w er u ni t D or sa l v er te br ae H C -3 17 M O R 1 19 9 Si er ra T rik e 20 03 Si er ra C ol le ge T. B .D . - ? m id dl e un it D is ar tic ul at ed sk ul l - m is si ng e pi na sa l G oo dw in , 2 00 6) (s ee H or ne r a nd H C -3 76 M O R 1 60 4 B ak er T rik e 20 04 K . O ls on T. B .D . - u pp er m id dl e/ up pe r A rti cu la te d sk ul l, sy nc er vi ca l H C -3 01 M O R 1 61 2 Tr ic er at op s Sa cr um S ite 20 05 K . O ls on T. B .D . H um er us H C -3 85 M O R 1 62 5 H ax by T rik e 20 04 K . O ls on a nd c re w U pp er u ni t Pa rti al a rti cu la te d sk ul l i nc lu di ng p re m ax /n as al ho rn /ro st ru m /p ar tia l p os to rb ita l h or n/ sq ua m os al /p ar ie ta l (s ee H or ne r a nd G oo dw in , 2 00 8) H C -3 89 M O R 1 62 9 M ar ge ’s T rik e Ti bi a 19 98 M . B ai sc h an d K . O ls on T. B .D . Ti bi a H C -3 92 M O R 2 55 1 C ST rik e2 20 05 N . P et er so n an d cr ew T. B .D . - ?u pp er /m id dl e un it Pa rti al sk ul l i nc lu di ng n as al h or n, n as al s, po st or bi ta l ho rn , p ar ie ta l a nd a ss oc ia te d po st c ra ni a H C -3 93 M O R 2 55 2 B O SH 20 04 B . S ch af f a nd c re w Lo w er u ni t Pa rti al sk ul l i nc lu di ng p os to rb ita l h or n, p ar tia l p ar ie ta l, sq ua m os al , f ril l e pi os si fic at io ns H C -4 25 M O R 2 56 9 A fte rn oo n D el ig ht 20 06 L. H al l a nd c re w M id dl e un it (lo w er pa rt) D is ar tic ul at ed sk ul l i nc lu di ng p ar ie ta l, sq ua m os al s, po st or bi ta l h or n co re , j ug al , m ax ill a, q ua dr at es (s ee G oo dw in a nd H or ne r, 20 10 )   154 A PP EN D IX 4 .1 . C A TA LO G U ED M O R S PE C IM EN S O F TR IC ER AT O PS F R O M T H E H EL L C R EE K F O R M A TI O N Lo c. n o. Sp ec . n o. Lo ca lit y C ol l.y ea r C ol le ct or U ni t M at er ia l H C -4 26 M O R 2 57 0 M ar k’ s Sc av en ge d Tr ik e 20 06 M . G oo dw in M id dl e un it N as al h or n, e pi ju ga l, pi ec es o f m ax ill a an d fr ill H C -4 28 M O R 2 57 2 M ar k’ s T rik e G en er at io n 20 06 M . G oo dw in T. B .D . Ju ve ni le sq ua m os al H C -4 30 M O R 2 57 4 Q ui tti n’ T im e 20 06 B . H ar m on , N . Pe te rs on a nd cr ew U pp er u ni t ( lo w er pa rt) B on eb ed (s ee K ee na n an d Sc an ne lla , 2 01 4) H C -4 31 M O R 2 57 5 W ag on C ou le e N or th 20 04 A . B al la rin a ?L ow er u ni t N as al h or n H C -4 32 M O R 2 57 6 Sn ap C re ek 20 06 J. H or ne r U pp er u ni t ( up pe r pa rt) N as al h or n H C -4 35 M O R 2 57 9 “T w itc he ll N or th ” 20 06 B . H ar m on T. B .D . Ju ve ni le p os to rb ita l h or n co re H C -2 75 M O R 2 58 2 W ei rd M ic ro si te 20 06 J. H or ne r Lo w er u ni t Fr ill e pi os si fic at io ns (s ee H or ne r a nd G oo dw in , 2 00 8) H C -1 09 M O R 2 58 3 R ob er t’s M ic ro si te 19 91 R . I ve ns T. B .D . Fr ill e pi os si fic at io n H C -1 35 M O R 2 58 4 M O R T J. H or ne r U pp er u ni t Ep iju ga l ( se e H or ne r a nd G oo dw in , 2 00 8) H C -1 35 M O R 2 58 5 M O R T 19 82 J. H or ne r U pp er u ni t Ep iju ga l H C -1 35 M O R 2 58 6 M O R T J. H or ne r U pp er u ni t Ep io ss ifi ca tio n (s ee H or ne r a nd G oo dw in , 2 00 8) H C -4 38 M O R 2 58 7 6- 12 -0 0- C C H Tr ik e 20 00 C . H or ne r ?M id dl e un it R ig ht n as al H C -4 39 M O R 2 58 8 7- 4- 00 -C C H M ic ro si te 20 00 C . H or ne r Lo w er u ni t Fr ill e pi os si fic at io ns H C -2 90 M O R 2 58 9 D K S ite 20 01 20 01 M O R c re w Lo w er u ni t Ju ve ni le p os to rb ita l h or n co re H C -4 40 M O R 2 59 0 JR H 7- 2- 05 -2 20 05 J. H or ne r U pp er u ni t Pa rti al d is ar tic ul at ed p re m ax ill a H C -4 41 M O R 2 59 3 Th ed fo rd S ite 20 05 N . P et er so n an d cr ew T. B .D . Q ua dr at e H C -4 42 M O R 2 59 4 B f9 20 04 B . H en dr ic ks T. B .D . Fr ill e pi os si fic at io ns H C -4 44 M O R 2 59 7 M ar k’ s T rik e II 20 06 M . G oo dw in U pp er u ni t D en ta rie s, po st or bi ta l h or n co re , f ril l f ra gm en t ( se e G oo dw in a nd H or ne r, 20 10 )   155 A PP EN D IX 4 .1 . C A TA LO G U ED M O R S PE C IM EN S O F TR IC ER AT O PS F R O M T H E H EL L C R EE K F O R M A TI O N Lo c. n o. Sp ec . n o. Lo ca lit y C ol l.y ea r C ol le ct or U ni t M at er ia l H C -4 30 M O R 2 70 2 B A B 20 06 L. H al l a nd c re w U pp er u ni t ( lo w er pa rt) Pa rti al sk ul l i nc lu di ng n as al h or n, p os to rb ita l h or ns , sq ua m os al , s ec tio n of p ar ie ta l, m ax ill a, d en ta ry , p ar tia l pr em ax ill a. F ro m Q ui tti n’ T im e B on eb ed (s ee K ee na n an d Sc an ne lla , 2 01 4) H C -4 48 M O R 2 70 4 “S an d C re ek , D aw so n” 19 93 D . G ab rie l T. B .D . La rg e pa rti al ju ga l w ith e pi ju ga l H C -2 80 M O R 2 72 8 “F -R ex ” 20 01 L. W ils on Lo w er u ni t Pa rti al ri gh t n as al H C -5 20 M O R 2 92 3 Jo e’ s H al f D ay Tr ik e 20 07 B . H ar m on a nd cr ew U pp er u ni t ( up pe r pa rt) A rti cu la te d sk ul l m is si ng sq ua m os al s a nd lo w er ja w H C -5 21 M O R 2 92 4 Lo n’ s T rik e 20 07 J. Sc an ne lla a nd D . F ow le r U pp er u ni t ( lo w er pa rt) D is ar tic ul at ed sk ul l i nc lu di ng n as al h or n, sq ua m os al , na sa l, pr em ax ill a, p ar tia l p ar ie ta l a nd a ss oc ia te d po st cr an ia in cl ud in g hu m er us a nd u ln a H C -5 25 M O R 2 92 7 Tr ik e B as in 20 07 J. H or ne r U pp er u ni t Po st or bi ta l h or n co re a nd sq ua m os al H C -5 25 M O R 2 92 8 Tr ik e B as in 20 07 J. H or ne r U pp er u ni t Sq ua m os al a nd d en ta ry H C -5 25 M O R 2 92 9 Tr ik e B as in 20 07 J. H or ne r U pp er u ni t Ju ve ni le sq ua m os al H C -5 28 M O R 2 93 6 La zy B on es 20 06 G . S or re nt in o U pp er u ni t Pa rti al d is ar tic ul at ed sk ul l i nc lu di ng sq ua m os al s, na sa l ho rn , m ax ill a, b ra in ca se H C -5 29 M O R 2 93 7 Pr os pe ro 20 07 S. K ee na n U pp er u ni t ( up pe r pa rt) Pa rti al d en ta ry , f ril l f ra gm en t, an d ot he r m at er ia l H C -5 31 M O R 2 93 8 La ur en ’s T rik e 20 07 L. H al l, S. K ee na n, a nd cr ew U pp er u ni t ( up pe r pa rt) Pa rti al sk ul l i nc lu di ng n as al h or n, m ax ill a, d en ta ry , pa rti al p ar ie ta l H C -5 35 M O R 2 94 1 N os y N as al 20 07 L. H al l U pp er u ni t N as al h or n, u ng ua l H C -5 30 M O R 2 94 2 D ol dr um s 20 07 20 07 M O R c re w U pp er u ni t Sq ua m os al H C -5 39 M O R 2 94 5 To o C lo se 20 06 B . H ar m on T. B .D . D en ta ry H C -6 4 M O R 2 94 6 – – U nk no w n M ak os hi ka S ta te Pa rk U nk no w n Pa rti al p ar ie ta l a nd sq ua m os al H C -5 41 M O R 2 95 0 JD Tr ik e1 4 20 07 J. Sc an ne lla a nd L. H al l U pp er u ni t ( up pe r pa rt) Pa rti al sk ul l i nc lu di ng b ra in ca se , p ar tia l s qu am os al a nd pa rie ta l H C -5 44 M O R 2 95 1 D FJ uv ie Tr ik e 3 20 08 D . F ow le r, B . Sc ha ff U pp er u ni t ( lo w er pa rt) N ea rly c om pl et e di sa rti cu la te d sk ul l a nd a ss oc ia te d po st cr an ia in cl ud in g hu m er us , f em ur , i liu m , v er te br ae , rib s   156 A PP EN D IX 4 .1 . C A TA LO G U ED M O R S PE C IM EN S O F TR IC ER AT O PS F R O M T H E H EL L C R EE K F O R M A TI O N Lo c. n o. Sp ec . n o. Lo ca lit y C ol l.y ea r C ol le ct or U ni t M at er ia l H C -5 45 M O R 2 95 2 H om er ’s N os e 20 08 H . H ic ka m U pp er u ni t Pa rti al sk ul l i nc lu di ng e pi na sa l, po st or bi ta l h or n co re , fr ill fr ag H C -5 00 M O R 2 95 8 D F Ju vi e- H or nc or e 20 08 D . F ow le r U pp er u ni t ( lo w er pa rt) Ju ve ni le p os to rb ita l h or n co re H C -5 51 M O R 2 95 9 G re at G oo go ly M oo go ly 20 06 J. Sc an ne lla , B . H ar m on , a nd cr ew ?L ow er u ni t Fr ill fr ag m en ts in cl ud in g fr ill e pi os si fic at io ns , o cc ip ita l co nd yl e, sy nc er vi ca l H C -1 02 7 M O R 2 96 5 Tr kN as 20 07 D . F ow le r U pp er u ni t Ep in as al H C -5 63 M O R 2 96 9 Ja ck ’s 2 00 8 Pa rie ta l 20 08 J. H or ne r T. B .D . Ju ve ni le p ar ie ta l H C -5 64 M O R 2 97 1 C ra zy T rik e 20 08 B . S ch af f U pp er u ni t ( lo w er pa rt) Pa rti al sk ul l i nc lu di ng p re m ax ill a, n as al h or n, ro st ra l, m ax ill a, fr ill H C -5 65 M O R 2 97 2 Su pe rn as al 20 08 D . F ow le r a nd B . S ch af f U pp er u ni t ( lo w er pa rt) Pa rti al sk ul l i nc lu di ng n as al h or n, p ar tia l s qu am os al , br ai nc as e H C -5 66 M O R 2 97 4 Le gs 20 05 N . P et er so n an d cr ew U pp er u ni t Pa rti al li m b bo ne s ( tib ia ) H C -5 67 M O R 2 97 5 M or e Fr ill 20 09 B . S ch af f a nd cr ew U pp er u ni t Pa rti al sk ul l i nc lu di ng p os to rb ita l h or n co re a nd sq ua m os al s H C -5 70 M O R 2 97 8 G re en e Tr ik e 20 08 – T. B .D . A rti cu la te d sk ul l w ith sy nc er vi ca l - m is si ng m ax ill ae , pr em ax ill ae , a nd lo w er ja w H C -5 71 M O R 2 97 9 Se th ’s T rik e 20 08 D . F ow le r a nd S . B ai nb rid ge U pp er u ni t Pa rti al sk ul l i nc lu di ng p os to rb ita l h or ns , m ax ill a, p ar tia l pr em ax ill a - m is si ng m uc h of fr ill a nd lo w er ja w s H C -5 43 M O R 2 98 0 Tr iS ar ah To ps 20 08 J. Sc an ne lla a nd cr ew U pp er u ni t Sq ua m os al H C -5 73 M O R 2 98 2 Th re e A m ig os 20 08 L. H al l a nd c re w M id dl e un it (lo w er pa rt) Pa rti al sk ul l i nc lu di ng p os to rb ita l h or n, n as al a nd n as al ho rn , d en ta ry , p ar ie ta l m id lin e, p ar tia l s qu am os al – a nd as so ci at ed p os tc ra ni a in cl ud in g ve rte br ae a nd fe m ur H C -5 75 M O R 2 98 4 2 B ig 20 01 L. B oy ch uk Lo w er u ni t Sq ua m os al H C -5 76 M O R 2 98 5 6 o’ cl oc k Tr ik e 20 08 A . C ar pa na a nd cr ew Lo w er u ni t Sq ua m os al , p ar tia l p ar ie ta l, as so ci at ed p os tc ra ni a H C -5 79 M O R 2 98 8 Sp ik e th e Tr ik e 20 08 B . S ch af f U pp er u ni t Po st or bi ta l h or n co re H C -6 22 M O R 2 99 1 To ot hb ur g 20 09 P. U llm an T. B .D . In cl ud es p ar tia l f ril l, oc ci pi ta l c on dy le H C -6 23 M O R 2 99 2 H al fw ay H ill 20 09 J. Sc an ne lla a nd cr ew T. B .D . Pa rti al sq ua m os al   157 A PP EN D IX 4 .1 . C A TA LO G U ED M O R S PE C IM EN S O F TR IC ER AT O PS F R O M T H E H EL L C R EE K F O R M A TI O N Lo c. n o. Sp ec . n o. Lo ca lit y C ol l.y ea r C ol le ct or U ni t M at er ia l H C -6 27 M O R 2 99 9 Si tu b ut S ad 20 09 E. F re ed m an a nd P. U llm an n U pp er u ni t ( up pe r pa rt) Pa rti al sk ul l i nc lu di ng p ar ie ta l, sq ua m os al , b ra in ca se an d po st or bi ta l h or ns , n as al , m ax ill a, d en ta ry H C -6 28 M O R 3 00 0 A sh es T rik e 20 09 J. Sc an ne lla a nd cr ew U pp er u ni t Po st or bi ta l h or n co re , p ar ie ta l, pa rti al sq ua m os al , de nt ar y, sc ap ul a H C -6 33 M O R 3 00 4 Th e H or n R es ou nd in g 20 09 B . S ch af f a nd E . Fr ee dm an M id dl e un it (lo w er pa rt) Sk ul l a nd a ss oc ia te d po st cr an ia H C -6 34 M O R 3 00 5 A nt sy T rik e 20 09 P. U llm an n an d cr ew M id dl e un it (lo w er pa rt) Pa rti al d is ar tic ul at ed sk ul l i nc lu di ng p ar ie ta l a nd n as al H C -6 35 M O R 3 00 6 W ar w ic k’ s H or n 20 09 W . F ow le r M id dl e un it (lo w er pa rt) Po st or bi ta l h or n co re H C -6 36 M O R 3 00 8 A m er ic an B ea ut y 20 09 P. U llm an n U pp er u ni t ( lo w er pa rt) N as al h or n H C -6 38 M O R 3 01 0 Th e G ol de n G oo se 20 09 J. Sc an ne lla a nd cr ew M id dl e un it (lo w er pa rt) Po st or bi ta l h or n co re , n as al h or n, d en ta ry H C -6 39 M O R 3 01 1 A nk y B re ak y H ea rt 20 09 H . W oo dw ar d an d D . F ow le r M id dl e un it (lo w er pa rt) Pa rti al sk ul l i nc lu di ng e pi na sa l a nd p ar ie ta l H C -6 42 M O R 3 01 5 Tr as h Tr ik e 20 09 E. F re ed m an a nd cr ew U pp er u ni t Sq ua m os al , p ar tia l b ra in ca se H C -6 43 M O R 3 01 6 D ev il’ s H or ns 20 09 P. M ur ph y U pp er u ni t Po st or bi ta l h or n co re s a nd sk ul l f ra gs H C -6 68 M O R 3 02 7 Y os hi ’s T rik e 20 10 J. Sc an ne lla , D . Fo w le r, E. Fr ee dm an M id dl e un it (u pp er pa rt) D is ar tic ul at ed sk ul l i nc lu di ng n as al h or n, sq ua m os al , na sa l, pr em ax ill a, p ar tia l p ar ie ta l a nd a ss oc ia te d po st cr an ia H C -6 71 M O R 3 02 9 Ja re d’ s T rik e 20 10 D . F ow le r a nd cr ew U pp er u ni t ( up pe r pa rt) Pa rie ta l H C -6 72 M O R 3 03 0 JD Tr ik e1 5 20 07 J. Sc an ne lla a nd Fo w le r U pp er u ni t Pa rti al p os to rb ita l a nd fr ill (j uv en ile ) H C -6 92 M O R 3 04 1 Jo ey ’s T rik e 20 10 L. H al l a nd C re w U pp er u ni t Pa rti al sk ul l i nc lu di ng sq ua m os al s a nd b ra in ca se H C -6 93 M O R 3 04 2 Ed ’s T rik e 20 08 D . F ow le r a nd cr ew U pp er u ni t ( up pe r pa rt) D en ta ry H C -6 94 M O R 3 04 3 G PS M an ia c 20 09 P. U llm an n U pp er u ni t Sq ua m os al H C -6 82 M O R 3 04 5 C lif fh an ge r 20 10 M . P ill et , D . Fo w le r M id dl e un it (u pp er pa rt) Pa rie ta l, sq ua m os al , a nd o th er m at er ia l H C -6 96 M O R 3 04 6 Tr ik ey T ow n 2 20 10 J. Sc an ne lla a nd cr ew U pp er u ni t Pa rie ta l a nd d en ta ry   158 EN D I A T G U ED M O R S PE C EN S O F ER AT F R O M T L C K F O R M A T A PP Sp ec X 4 .1 . C A LO oc al ity IM C ol l.y ea r Co TR IC to r O PS U ni t H E H EL RE E IO N M at er ia l Lo c. . no . . n o L lle c H C -6 97 M O R 3 04 7 G ot th e H or n 20 10 D . F ow le r U pp e w r u ni t ( lo er pa rt) Po st or bi ta l h or n co re H C -6 98 M O R 3 04 8 W ed ne sd ay ’s Tr ik e 20 09 J. Sc an ne lla a nd L. H al l U pp er u ni t N as al h o r rn , o cc ip ita l c on dy le , o th er c an ia l m at er ia l H C -6 99 M O R 3 04 9 Pr es en t 20 09 P. U llm an n U pp er u ni t N as al h or n H C -7 00 M O R 3 05 3 PV U T rik e 20 09 P. U llm an n U pp er u ni t A ss oc ia te d m l rb at er ia in cl ud in g po st o ita l h or n co re H C -1 02 6 M O R 3 05 5 B ro w n N os e 20 08 L. H al l M id d w le u ni t ( lo er pa rt) N as al h or n H C -7 02 M O R 3 05 6 JD Tr ik e1 2 20 07 D . F ow le r a nd J. Sc an ne lla U pp e pp er r u ni t ( u pa rt) Ju ve ni le a o sq ua m os l a nd p os to rb ita l h rn c or e H C -1 14 M O R 3 05 7 B ro w ni e B ut te Tr ik e 20 08 D . F ow le r U pp e w r u ni t ( lo er pa rt) Po st or bi ta l h or n co re H C -7 04 M O R 3 05 8 JD Ex Tr ik e2 20 08 J. Sc an ne lla a nd D . F ow le r M id dl e un it Pa rti al u ho rn a nd j ga l H C -1 02 3 M O R 3 05 9 H ec k’ s H or n 20 09 C . H ec k U pp er u ni t N as al h or n H C -7 16 M O R 3 06 4 Li ttl e H or ny D ev il 20 10 D . F ow le r M id dl e un it (u pp er pa rt) B ro w h o ad ra te , rn , p ar tia l s qu am os al , q u ep io ss ifi ug ca tio ns , j al s, ot he r c ra ni al H C -5 32 M O R 6 64 8 D uc ky T ai l 20 09 A . C ar pa na a nd cr ew U pp e pp er r u ni t ( u pa rt) Ju ve ni le op s m os a T ri ce ra t p ar ie ta l a nd sq ua l f ou nd am on g au Ed m on to s ru s m at er ia l H C -8 98 M O R 7 03 7 Lo st d a nd F ou n 20 08 B . H ar m on M id dl e un it Sq ua m ns th at a re c u ca lit y da ta o n o e ith er er . T ric bl e do e rr en o ff -s i P n re la tiv da rie s . S pe ci ve o fi le . ty n um ec . m C ol l. y C o ea r; us -P al e un sa l tly u np re p at M O R N ot e: A (a s o f 2 01 1) . T. B .D .— no .— Sp ec ill sp ec im en s a re re ci se p os iti o en n um be r; Tr ic e to u n ea r— at op s o r c f it bo un lle ct io n y er at op s. 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Journal of Mammalian 164 CREEK Co-Authors CHAPTER FIVE EVOLUTIONARY TRENDS IN TRICERATOPS FROM THE HELL FORMATION, MONTANA uthors andContribution of A anuscript in Chapter 5 Contributions: Designed research, performed Co-author: Mark B. Goodwin Contributions: Designed research, performed research, wrote the paper Co-author: John R. Horner Contributions: Designed research, performed research, contributed new reagents/analytic tools M Author: John B. Scannella Contributions: Designed research, performed research, analyzed data, wrote the paper Co-author: Denver W. Fowler research, analyzed data, wrote the paper 165 Manuscrip tion Paget Informa Journal: Proceedings of the National Academy of Sciences of the United States of Status of Manuscript: John B. Scannella, Denver W. Fowler, Mark B. Goodwin, John R. Horner America ___Prepared for submission to a peer-reviewed journal ___Accepted by a peer-reviewed journal ___Officially submitted to a peer-reviewed journal _x_Published in a peer-reviewed journal Scannella, J. B., D. W. Fowler, M. B. Goodwin, and J. R. Horner. 2014. Evolutionary the National Academy of Sciences 111:10245–10250, doi: 10.1073/pnas.1313334111 The following chapter (and supporting information in Appendix A) has been published in trends in Triceratops from the Hell Creek Formation, Montana. Proceedings of the Proceedings of the National Academy of Sciences of the United States of America. 166 Abstract The placement of over 50 skulls of the well-known horned dinosaur Triceratops within a stratigraphic framework for the Upper Cretaceous Hell Creek Formation (HCF) of Montana reveals the evolutionary transformation of this genus. Specimens referable to the two recognized morphospecies of Triceratops, T. horridus and T. prorsus, are stratigraphically separated within the HCF with the T. prorsus morphology recovered in the upper third of the formation and T. d lower in the formation. ypotheses that these morphospecies represent sexual or ontogenetic variation within a single species are thus untenable. Stratigraphic placement of specimens appears to reveal ancestor-descendant relationships. Transitional morphologies are found in the middle unit of the formation, a finding which is consistent with the evolution of Triceratops being characterized by anagenesis, the transformation of a lineage over time. Variation among specimens from this critical stratigraphic zone may indicate a branching event in the Triceratops lineage. Purely cladogenetic interpretations of the HCF dataset imply greater diversity within the formation. These findings underscore the critical role of stratigraphic data in deciphering evolutionary patterns in the Dinosauria. horridus foun H Significance Statement The deciphering of evolutionary trends in non-avian dinosaurs can be impeded by a combination of small sample sizes, low stratigraphic resolution, and lack of ontogenetic (developmental) details for many taxa. Analysis of a large sample (n>50) of the famous horned dinosaur Triceratops from the Hell Creek Formation of Montana incorporates 167 Introduction new stratigraphic and ontogenetic findings to permit the investigation of evolution within this genus. Our research indicates that the two currently recognized species of Triceratops (T. horridus and T. prorsus) are stratigraphically separated and that the evolution of this genus likely incorporated anagenetic (transformational) change. These findings impact interpretations of dinosaur diversity at the end of the Cretaceous and illuminate potential modes of evolution in the Dinosauria. , aur in the 6; Horner et ion of olled robust sample from the entire ~90 meter (m) thick HCF and entification of ontogenetic stages makes Triceratops a model organism for testing ypotheses proposed for the modes of dinosaur evolution (e.g. Horner et al., 1992, ampso ratops The Hell Creek Project (1999-2010), a multi-institutional survey of the fauna flora, and geology of the Upper Cretaceous Hell Creek Formation (HCF), provides insights into the paleobiology and evolution of the last non-avian dinosaurs (Horner et al., 2011). Triceratops (Ceratopsidae: Chasmosaurinae) is the most abundant dinos HCF; >50 skulls, including previously unknown or rare growth stages, have been collected throughout the entire formation (spanning ~ 1 to 2 million y) (Hicks et al., 20022) over the course of the Hell Creek Project (Horner and Goodwin, 200 al., 2011; Scannella and Horner, 2010; Scannella and Fowler, 2014). The combinat a stratigraphically-contr id h S n, 1995; Sampson and Loewen, 2010). Since its initial discovery (Marsh, 1889), as many as 16 species of Trice were named based on variations in cranial morphology (Ostrom and Wellnhofer, 1986; 1990). Forster (1996) recognized only two species, T. horridus and T. prorsus, based on 168 ng dus and closed in T. prorsus). Marsh initially distinguished ese two species by the morphology of the nasal horn (Marsh, 1890); the type specimen f T. horridus possesses a short, blunt nasal horn whereas the nasal horn in T. prorsus is elongate. Whether or not these taxa were largely biogeographically separated or represented ontogenetic variants or sexual dimorphs within a single species has remained unresolved (Ostrom and Wellnhofer, 1986; Dodson, 1996; Forster, 1996; Happ and Morrow, 1996; Farke, 1997; Lehman, 1998; Sampson and Loewen, 2010) . A record of the stratigraphic distribution of Triceratops from the Upper Cretaceous Lance Formation of Wyoming compiled by Lull (1915; 1933) suggested that these taxa overlap stratigraphically. However, this assessment was likely based on limited stratigraphic data (Farke, 1997) and "the precise stratigraphic placement of these specimens can no longer be established" (Ostrom and Wellnhofer, p. 155). As such, consideration of morphological variation in a detailed stratigraphic context is necessary to reassess systematic hypotheses. Results cranial features including differences in relative length of the postorbital horn cores (lo in T. horridus and shorter in T. prorsus), morphology of the rostrum (elongate in T. horridus and shorter in T. prorsus), and closure of the frontoparietal fontanelle (sensu Farke) (2010); open in T. horri th o Stratigraphic placement of Triceratops specimens within the HCF reveals previously undocumented shifts in morphology. The HCF is divided into three stratigraphic units: the lower third (L3), middle third (M3), and upper third (U3) (Horner et al., 2011; Hartman et al., 2014). The stratigraphic separation of Triceratops 169 s (Fig. L3 Triceratops. morphospecies is apparent with specimens referable to T. prorsus (following Forster) (1996) found in U3 and T. horridus only recovered lower in the HCF. Specimens from the upper part of M3 exhibit a combination of T. horridus and T. prorsus feature 5.1, SI Text, and Fig. 5.S1). Triceratops from the lowermost 15-30 m of the HCF (L3) possess either a small nasal horn (Fig. 5.2A; Dataset 5.S1) or a low nasal boss. The boss morphology appears in a large individual that histologically represents a mature specimen [="Torosaurus" ontogenetic morph [Scannella and Horner, 2010 (but see also: Farke, 2011; Longrich and Field, 2012; Maiorino et al., 2014); Museum of the Rockies (MOR) specimen 1122) (SI Text)]. The nasal process of the premaxilla (NPP) in L3 Triceratops is narrow (Fig. 5.2B strongly posteriorly inclined; a pronounced anteromedial process is (Fig. M3 Triceratops. andFig. 5.S2) and present on the nasal (Fig. 5.S3). The frontoparietal fontanelle remains open until late in ontogeny (MOR 1122). Specimens from the lower unit of the HCF bear a range of postorbital horn core lengths (ranging from ~ .45 to at least .74 basal-skull length) 5.2D and Dataset 5.S1). The mean nasal-horn length increases through M3 (Figs. 5.1E and F and Fig. 5.2A). University of California Museum of Paleontology (UCMP) specimen 113697 (collected ~ 6 m below the base of U3) possesses a nasal horn that is elongate (length/width: 2.12) (Dataset 5.S1) but retains a broad posterior surface, giving the horn a subtriangular cross section. Forster (1996) noted that UCMP 113697 exhibits a small 170 ior projection on the epinasal (Fig. 5.S4) and the nteriormost nasal. A homologous morphology is observed in specimens from L3 and the wer half of M3 (MOR 1120, MOR 2982, MOR 3010). UCMP 128561, from the upper half of M3, exhibits a low nasal boss (Cobabe and Fastovsky, 1987; Forster, 1993) (SI Text). The anteromedial process of the nasal is pronounced in Triceratops from M3 and the NPP is more vertically inclined in specimens from upper M3, producing a more convex rostrum morphology which was previously found to characterize T. prorsus (Forster, 1996; Longrich and Field, 2012). The frontoparietal fontanelle is open in late stage subadults/young adults (UCMP 113697). nasal boss posterior to the nasal horn. Disarticulated specimens (e.g. MOR 3027 and MOR 3045) reveal that this protuberance posterior to the epinasal appears to be formed by the combination of a poster a lo U3 Triceratops. Specimens from U3 exhibit the features Forster (1996) found to characteriz prorsus. U3 Triceratops possess an elongate, relatively narrow nasal horn (average length/width > 2) (Fig. 5.2A; Dataset 5.S1). The NPP is more vertically inclined, producing a convex rostrum lacking the low, elongate profile noted in T. horridus [although e T. the largest, and presumably oldest, known specimens (e.g. MOR 004 and MOR ced 1625) exhibit proportionally longer rostra] (Fig. 5.2E and Dataset 5.S1). The NPP is antero-posteriorly expanded and the anteromedial process of the nasal is greatly redu (Fig. 5.S3) (Horner and Goodwin, 2008). The frontoparietal fontanelle becomes constricted and eventually closed in late stage subadults/young adults (e.g. MOR 2923 and MOR 2979), ontogenetically earlier than in L3 and M3. The postorbital horn cores 171 F Shifts in Morphology over Time. are short (< 0.64 basal-skull length) (Fig. 5.2D). Further, U3 Triceratops appear to exhibit nasals which are more elongate than Triceratops from the lower half of the HC (Fig. 5.2F and Dataset 5.S1). Epinasals exhibit a directional morphologic trend; average length increases throughout the formation (Fig. 5.2A and Dataset 5.S1) (Spearman's rank coefficient = 0.824, p = 4.15E-07). A protuberance just posterior to the epinasal, observed in specimens from L3 and M3 (Fig. 5.1) is particularly pronounced in UCMP 113697 from the uppermost M3 (Fig. 5.1E). U3 Triceratops either do not exhibit this feature or express only a subtle ridge in the homologous location. Concurrent with elongation of the epinasal was an expansion of the NPP (Fig. 5.2B) (Spearman's rank coefficient = -0.969, P= 3.74E-06) and an increase in the angle between the NPP and the narial strut of the premaxilla (Fig. 5.2C and Dataset 5.S1) (Spearman's rank coefficient = .802, P = .000186). Nasals also become more elongate relative to basal skull length (although only three specimens with complete nasals have thus far been recorded from the lower half of the formation) (Fig 5.2F and Dataset 5.S1) (Spearman's rank coefficient = .804, P = .00894). Postorbital horn-core length appears to be variable throughout L3 and M3 and is . 5.2D and Dataset 5.S1) [Spearman's rank ile 64 f consistently short in U3 Triceratops (Fig coefficient is negative (-0.197) and not statistically significant (P=0.392)]. Large juven U3 Triceratops (e.g. MOR 1110) can possess more elongate postorbital horn cores (0. basal-skull length). Whereas U3 postorbital horn core length falls within the range o 172 es rmation hat a Cladistic and Stratocladistic Analyses. variation observed lower in the formation (Fig. 5.2D), elongate postorbital horn cor have thus far not been found in post-juvenile stage Triceratops from U3. Many large Triceratops (e.g. MOR 1122 and MOR 3000) (Scannella and Horner, 2010) exhibit evidence of postorbital horn core resorption, suggesting maximum length is reached earlier in ontogeny. Maximum postorbital horn core length may have been expressed later in development (or for a longer duration) in Triceratops from lower in the fo Triceratops from the upper half of the HCF exhibit a more vertically inclined NPP (Fig. 5.2C), which contributes to a rostrum which appears shorter and more convex in lateral profile (a feature Forster [1996] noted in T. prorsus) (). However, we note t Spearman's rank correlation test found apparent reduction in rostrum length to be statistically insignificant (Spearman rank's coefficient .018, P=.966). Large specimens from U3 (e.g. MOR 004) possess a more elongate rostrum relative to basal skull length (Fig. 5.2E and Dataset 5.S1), however the shape of U3 rostra appears to be consistently convex. Eotriceratops xerinsularis, found in the stratigraphically older uppermost Horseshoe Canyon Formation (~ 68 Ma) (Wu et al., 2007), expresses morphologies (elongate postorbital horn cores, small nasal horn) consistent with its stratigraphic position relative to Triceratops. Initial cladistic analyses recovered a polytomy of all HCF specimens, with the 50% majority tree producing a succession of Triceratops that largely correlates with stratigraphic placement (Fig. 5.S5 and SI Text). Removal of the more fragmentary 173 027 d te). R ition of the antero-medial nasal rocess and expresses a pronounced upturn of the posterior surface of the epinasal, ggesting the presence of a protuberance in life. MOR 3045 exhibits a fairly elongate th: ~ 1.88), with a posterior surface which is broader than is seen most cot and material recovered Torosaurus specimens as basal to a stratigraphic succession of Triceratops including a polytomy of specimens from the upper half of the formation. A similar topology was recovered when specimens not exhibiting codeable features of the parietal squamosal frill were removed from the analysis (Fig. 5.3B). Removal of MOR 2924, a specimen from the base of U3 which does not preserve postorbital horn cores (SI Text), recovers specimens from the upper part of M3 as basal to U3 Triceratops. In the analysis of the most reduced data set, UCMP 113697 and MOR 3 cluster together (Fig. 5.3C). These specimens exhibit a combination of characters foun in Triceratops from L3 and M3. The epinasal of UCMP 113697 is morphologically intermediate between L3 and U3 Triceratops (the epinasal of MOR 3027 is incomple These specimens each exhibit large postorbital horn cores (a feature expressed in some L3 Triceratops) and a more vertically inclined NPP (found in U3 Triceratops). MO 3045 is recovered as being more derived than UCMP 113697 and MOR 3027 (Fig. 3) based on its possession of relatively short postorbital horn cores, a more expanded NPP, and a pronounced step bordering the 'incipient fenestrae' (sensu Scannella and Horner, 2010) (SI Text). This specimen exhibits the basal cond p su epinasal (est. length/wid in U3 specimens; and, like UCMP 113697, MOR 3027, and U3 Triceratops, exhibits a more vertically inclined NPP. Stratocladistic analyses, in which specimens were grouped into operational units based on stratigraphic position, were performed in the program StrataPhy (Mar 174 r f tion no the cimens were incorporated into morpho o a Discussion Fox, 2008). Torosaurus specimens were initially considered separately from othe specimens (see SI Text). Initial results suggested that specimens from the upper half o the HCF represented a sequence of ancestors and descendants but differed on the posi of operational units from the lower half of the formation (Fig. 5.S6A). This result was likely influenced by missing data for specimens from the lower half of the formation; specimens from lower M3 preserve frill characters which can distinguish them from Torosaurus morphology. When Torosaurus spe Triceratops operational units, three topologies were produced: a strictly cladogenetic result, a topology in which all operational units except lower M3 were recovered in a transformational sequence, and a topology in which the HCF operational units were recovered in two lineages (an upper L3/lower M3 lineage and an upper M3/U3 lineage) which had diverged at some point in the deposition of L3 (Fig. 5.S6B). Pruning of Torosaurus specimens from the dataset produced two topologies which incorporated logical transformation: one topology in which all HCF operational units fell int single lineage and another topology presenting two HCF lineages which diverged either in L3 or prior to deposition of the HCF (Fig. 5.S6C). Evoluti onary Patterns. One of the principle questions in evolutionary biology regards the modes of evolution: what evolutionary patterns are preserved in the fossil record and how prominent are these patterns (Simpson, 1944; 1953; Eldredge and Gould, 1972)? Small sample sizes for most non-avian dinosaur taxa complicate the investigation of 175 (the transformation of lineages over time) (Fig. 5.4A) (e.g. Rensch, 1947; Malmg l ; Wagner and Erwin, 1995; Benton and Pearson es at (Sampson, 1995). A combination of large sample size, on und tops incorpo evolutionary modes in this group. As such, it is unknown how prominent a role anagenesis ren et al., 1983; Gingerich, 1985; Macleod, 1991; Benton and Pearson, 2001) played in their evolution or whether the majority of morphologies recorded in the fossi record were a product of cladogenesis (evolution via branching events (Fig. 5.4B-D) (Rensch, 1947; Eldredge and Gould, 1972 , 2001; Sampson and Loewen, 2010). Horner et al. (1992) presented evidence for anagenesis in several dinosaur clad within the Cretaceous Two Medicine Formation of Montana. It has been suggested th the sample size presented in that study was too small and that cladogenesis was a more conservative interpretation of the data togenetic resolution, and detailed stratigraphic data makes Triceratops an ideal taxon for testing hypotheses regarding evolutionary mode in a non-avian dinosaur. Restriction of the full T. prorsus morphology to U3 renders hypotheses that T. horridus and T. prorsus represent sexual or ontogenetic variation within a single taxon untenable. Triceratops from the upper part of M3 exhibit a combination of features fo in L3 and U3 Triceratops. This pattern suggests that the evolution of Tricera rated anagenesis. Strict consensus trees produced by cladistic analyses either recover upper M3 specimens in a polytomy with all HCF specimens, in a polytomy of HCF Triceratops from the upper half of the formation, or UCMP 113697 and MOR 3027 cluster together whereas MOR 3045 shares more features with U3 Triceratops (Fig. 5.3 and Fig. 5.S5). 176 native hypotheses for the morphological pattern recorded in ceratops. This is a purely anagenetic scenario. iii) A bifurcation event is recorded in the HCF and occurred at some point prior to the deposition of U3, resulting in two lineages which differ primarily in the morphology of the epinasal and rostrum (consistent with Forster's diagnoses for T. horridus and T. prorsus). MOR 3045 represents an early member of a lineage which evolved into U3 Triceratops. This scenario incorporates anagenesis (Wagner and Erwin, 1995) and is presented in some trees produced by the stratocladistic analysis (Fig. 5.S6). iv) The evolution of Triceratops was characterized by a series of cladogenetic events that produced at least five taxa over the course of the deposition of the HCF (the L3 clade, the lower M3 clade, the MOR 3027 clade, the MOR 3045 clade, and the U3 clade). This strictly cladogenetic scenario suggests that no Triceratops found lower in the HCF underwent evolutionary transformation into forms found higher in the formation. We will consider four alter the HCF: i) T. prorsus evolved elsewhere and migrated into the HCF, eventually replacing the incumbent HCF Triceratops population by the beginning of the deposition of U3. Upper M3 specimens represent early members (or close relatives of ) this group that would come to dominate the ecosystem. ii) Variation between MOR 3045, MOR 3027, and UCMP 113697 represents intraspecific (or intrapopulation) variation. As the HCF Triceratops lineage evolved, some individuals expressed more of the features that would eventually dominate the population. Over time, these traits were selected for and characterized U3 Tri 177 A Biogeographic Signal? The Hell Creek Project's stratigraphic record of Triceratops is primarily restri to northeastern Montana. It has been hypothesized that T. horridus and T. prorsus w largely biogeographically separated, with T. prorsus generally restricted to the Hell Creek and Frenchman Formations and T. horridus commonly found in the more southern Lance, Laramie, and Denver Formations (Happ and Morrow, 1996; Farke, 1997). However, this suggested biogeographic segregation may represent an artifact of the stratigraphic record. Specimens which have thus far been described from neighboring coeval formations exhibit morphologies consistent with their stratigraphic position relative to the HCF (Tokaryk, 1986; Carpenter and Young, 2002) (SI Text). cted ere Anagenesis and Cladogenesis. If the morphological trends noted in Triceratops were purely the result of cladogenetic branching (consistent with punctuated equilibrium [Eldredge and Gould, 1972) (Fig. 5.4C and D), we would expect to find the full U3 morphology coexisting with Triceratops found lower in the formation, or alternatively, specimens exhibiting the L3 morphology in U3. Such specimens have yet to be discovered (SI Text). Specimens from the upper part of M3 exhibit transitional features relative to L3 and U3 Triceratops, a pattern consistent with anagenesis. Some cladistic analyses distinguish MOR 3045 from other upper M3 Triceratops based on variation in the length of the postorbital horn cores, width of the NPP, and the thickened regions of the parietal (Fig. 5.3, Fig. 5.S5, and SI Text). Triceratops collected from a multi-individual bonebed in U3 (MOR locality no. HC-430; Keenan and 178 Scannella, 2014) show variable morph remaxillae and parietal between dividuals (Fig 5.S2) (). This finding suggests that the variation between upper M3 specimens may represent intrapopulational, not taxonomic, variation (Ostrom and Wellnhofer, 1986). Individuals exhibiting more pronounced U3 character states may have become increasingly abundant in the HCF Triceratops population over time until, by the end of the Cretaceous, all Triceratops exhibited these character states (Fig. 5.4A). Alternatively, MOR 3045 may represent an early member of a U3 (T. prorsus) lineage with MOR 3027 representing a separate lineage. Stratocladistic analyses suggest the possibility of two lineages in the HCF (Fig. 5.4B and 5.S6), however this scenario would require the independent evolution of an enlarged epinasal-nasal protuberance. A purely cladogenetic interpretation of the HCF Triceratops dataset suggests the presence of at least five stratigraphically overlapping taxa in the formation (Fig. 5.4C and D). This scenario is possible, but we would argue that interpretations that incorporate populational transformation (anagenesis) are more conservative.. Specimens from upper M f primitive and derived characters, as well as more developed states of characters expressed in L3 Triceratops. Forster (1996) noted that, whereas T. prorsus exhibited derived characters, no autapomorphic characters were recognized in T. horridus. This finding is consistent with the hypothesis that the evolution of Triceratops incorporated anagenesis and illustrates the potential difficulties with defining species in evolving populations (Gingerich, 1985; Horner et al., 1992). The HCF dataset underscores the importance of considering morphologies in a populational, rather than typological context (Simpson, 1951). ology of the p in 3 exhibit a combination o 179 Conclusions The documented changes in Triceratops morphology occurred over a geologically short interval of time (1-2 million y) (Hicks et al., 2002). High-resolution stratigraphy is necessary for recognizing fine scale evolutionary trends. If cladogenesis is considered the primary mode of dinosaur evolution, a problematic inflation of dinosaur diversity occurs. Current evidence suggests that the evolution of Triceratops incorporated anagenesis as there is currently no evidence for biogeographic segregation of contemporaneous Triceratops morphospecies and there is evidence for the morphological transformation of Triceratops throughout the HCF. This dataset supports hypotheses that the evolution of other Cretaceous dinosaurs may have incorporated phyletic change (Horner et al., 1992; Evans et al., 2006; Campione and Evans, 2011) and suggests that many speciation events in the dinosaur record may represent bifurcation events within anagenetic lineages (Wagner and Erwin, 1995). Materials and Methods Most specimens in this study were placed in section relative to either the upper and /or lower formational contacts, respectively marked by the overlying Fort Union or underlying Fox Hills Formations (Scannella and Fowler, 2014). For some specimens, stratigraphic precision was increased by measuring position relative to marker sandstones (Horner et al., 2011). The base of each unit in the HCF near Fort Peck Lake is marked by a prominent amalgamated channel sandstone that consistently occurs in the same stratigraphic position (Horner et al., 2011). The Basal sand, Jen-rex sand, and Apex 180 to in the ersed an, CF Triceratops specimens was conducted in PAUP* 4.0b10 (Swofford, 2003) (SI Text) initially using the heuristic search command with rrhinoceratops (Parks, 1925) designated as the outgroup. The matrix was assembled in lysis gly to sand mark the bases of the Lower, Middle, and Upper units respectively (Horner et al., 2011; Hartman et al., 2014) (Fig. 5.1C). Each sandstone complex fines upwards in overbank mudstones and siltstones. MOR 981 was collected from a mudstone horizon above the basal sandstone; more detailed stratigraphic data is unavailable for this specimen. The boundary between the C30N and C29R magnetozones occurs either at the base, or in the middle of the Apex sand (base of U3) (Fig. 5.1). Samples taken with sandstone do not produce a signal, but samples from above the sandstone are of rev polarity (C29r), while those below are normal polarity (C30n) (Lerbekmo and Bram 2002; Lecain et al., 2014). A cladistic analysis of H A Mesquite 2.75 (Maddison and Maddison, 2011) and cladograms were displayed using FigTree (Rambaut, 2012). Analyses were conducted using the random addition sequence (SI Text). The most complete post-juvenile stage specimens were included in the ana (SI Text; see Campione et al., 2013). Characters found to vary within Triceratops, and between Triceratops and Eotriceratops, (Fig. 5.S7 and SI Text), were included. Stron ontogenetically influenced characters (e.g. postorbital horn core orientation; frill epiossification shape) were excluded from the analysis, however characters often used distinguish Triceratops and Torosaurus (e.g. parietal fenestrae, epiossification position) were retained. Specimens exhibiting multiple character states (e.g. differing numbers of episquamosals on each squamosal) were coded as polymorphic. All characters were left 181 k Acknowledgments unordered; maxtrees was set to 250,000. Bremer support indices were calculated using TreeRot v3 (Sorenson and Franzosa, 2007). Analyses of the reduced dataset were conducted using the branch and bound search command. Stratocladistic analyses were performed in the program StrataPhy (Marcot and Fox, 2008) with maxtrees set to 250,000. Specimens with some ambiguity regarding stratigraphic position (MOR 981, MOR 1604, MOR 2978) were excluded from the analysis (SI Text). Spearman's ran correlation analyses were performed in R (R Core Team, 2013) using the 'cor.test' function [cor.test(x,y, method='spear', exact = FALSE)]. Juvenile specimens were excluded from these analyses as were specimens exhibiting significant taphonomic distortion (see Fig. 5.2 and Dataset 5.S1). Additional calculations were performed in Microsoft Office Excel 2007. sions, without implying their agreement with our conclusions. Comments and suggestions from G. Hunt, P.D. Polly, and three anonymous reviewers were very elpful. Thanks to D. Fox, A. Huttenlocker, and J. Marcot for help using StrataPhy. D. vans, K. Seymour, and B. Iwama provided access to the holotype of Arrhinoceratops at e Royal Ontario Museum. B. Strilisky and G. Housego provided access to the holotype We thank D. Barta, B. Boessenecker, N. Campione, T. Carr, W. Clemens, W. Clyde, P. Dodson, D. Evans, A. Farke, C. Forster, E. Fowler, J. Frederickson, J. Hartman, L. Hall, J. Hoganson, M. Holland, F. Jackson, S. Keenan, M. Lavin, M. Loewen, J. Mallon, K. Olson, C. Organ, K. Padian, A. Poust, D. Pearson, P. Renne, D. Roberts, K. Scannella, J. Stiegler, D. Varricchio, D. Woodruff, H. Woodward, and B. Zorigt for helpful discus h E th 182 f Eotriceratops at the Royal Tyrrell Museum and additional images of its premaxilla. J. Sertich provided access to specimens at the Denver Museum of Nature and Science. P. Sheehan provided access to and locality data for Milwaukee Publich Museum (MPM) specimen VP6841. R. Scheetz and B. Britt provided access to a cast of Museum of Western Colorado (MWC) specimen 7584 at BYU; W. Clemens shared stratigraphic data for this specimen. The Bureau of Land Management, Charles M. Russell National Wildlife Refuge, and the Department of Natural Resources and Conservation provided access to land under their management and collection permits. We are grateful to the Twitchell, Taylor, Trumbo, Holen, and Isaacs families for land access. We thank the Museum of the Rockies (MOR) volunteers, staff, and all participants in the Hell Creek Project. We thank the MOR and the University of California Museum of Paleontology (UCMP) for support of this research. Funding for the Hell Creek Project was provided by onations from J. Kinsey, C.B. Reynolds, H. Hickam, and Intellectual Ventures. The MP e o d Windway Foundation and the Smithsonian Institution provided grants (to JRH). UC provided funding (to MBG). The Theodore Roosevelt Memorial Fund of the American Museum of Natural History, the Fritz Travel Grant of the Royal Ontario Museum, and th Jurassic Foundation provided grants (to J.B.S.). The Evolving Earth Foundation and the Doris O. and Samuel P. Welles Research Fund of the UCMP provided grants (to J.B.S. and D.W.F.). 183 Fig. 5.1. Stratigraphic placement of HCF Triceratops reveals trends in cranial morphology including elongation of the epinasal and change in morphology of the rostrum. (A) HCF stratigraphic units. (B) Magnetostratigraphic correlation (Lerbekmo and Braman, 2002; Lecain et al., 2014); NS: no signal, so precise position of C29R-C30n boundary is unknown. (C) Stratigraphic positions of Triceratops specimens within a generalized section. Specimens plotted by stratigraphic position, not by facies. Relative position of specimens from different areas are approximate at the meter scale (Scannella and Fowler, 2014). See Horner et al. (2011) and Scannella and Fowler (2014) for further specimens for which more precise position (beyond HCF unit) is to be determined. Scal in meters. (D) MOR 2702 nasal horn from U3. (E) UCMP 113697 nasal horn from upper part of M3; black arrow indicates epinasal-nasal protuberance. (F) MOR 2982 nasal horn from lower part of M e 3 (image mirrored). (G) MOR 1120 nasal horn from L3. (H) MOR 04 young adult Triceratops skull from U3 (cast; image mirrored). Postorbital horn cores reconstructed to approximate average length of young adult specimens from this unit. (I) UCMP 113697 late stage subadult/young adult Triceratops skull from the upper part of 3. (J) MOR 1120 (cast) subadult Triceratops skull from L3. Figure modified from Scannella and Fowler (2014). f, fine sand; m, medium sand (Scale bars: 10 cm). 0 M 184 Fig. 5.2. Stratigraphic variation in cranial morphology. Each unit of the HCF is divided into upper and lower sections. For L3, the upper part is here designated as strata above the basal sandstone. For M3, the upper part is here considered the upper 15 m of the unit. The 10-m sandstone and above is here considered the upper section of U3. (A) Epinasal length/width. MOR 3011 denoted by a gray diamond as the fragmentary nature of this specimen obscures its ontogenetic status. Square represents UCMP 128561. Results of Spearman's rank correlation analysis in white box. (B) Nasal process of the premaxilla (NPP) height/width. (C) Angle between the NPP and the narial strut of the premaxilla. (D) Postorbital horn core length/basal skull length. Estimated total lengths are used here for postorbital horn core length (see Dataset S1). (E) Rostrum length/basal skull length. (F) Nasal length/basal skull length. Vertical lines denote the mean (not including juvenile r taphonomically deformed specimens; Dataset S1). Dark gray bars represent standard rror. Black rings denote juveniles. Gray ring represents RTMP 2002.57.7. Spearman's o e rank correlation analyses exclude juveniles and taphonomically distorted specimens (indicated by diamonds). Asterisks indicate statistically significant P values. Scale on x- axes are logarithmic. 185 Fig. 5.3. Results of cladistic analysis of HCF Triceratops. (A) Strict consensus tree produced by analysis of HCF specimens using a heuristic search and multistate coding once the most fragmentary specimens were removed (See SI Text and Fig. S5 for additional results). Bootstrap support values below nodes. Bremer support values greater than 1 above nodes. Torosaurus specimens are recovered as basal to a stratigraphic succession of specimens. MOR 3011 does not preserve characters of the parietal- squamosal frill. (SI Text). (B) Analysis (multistate coding, branch-and-bound search) excluding specimens that could not be coded for at least 10 cranial characters or characters of the frill. (C) Analysis (multistate coding, branch-and-bound search) after removal of MOR 2924 (SI Text). 186 . 5.4. Potential patterns of HCF Triceratops evolution. (A) Anagenesis, or s rmation of a lineage over time. 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Scannella ontributions: Conceived the study, collected data, analyzed data, interpreted results, rote the manuscript. o-author: David W. Roberts ontributions: Analyzed data, interpreted results, edited drafts of the manuscript. o-author: John R. Horner ontributions: Conceived the study, contributed materials, discussed implications of sults, edited drafts of the manuscript. M A C w C C C C re 193 Manuscrip tion Paget Informa Status of Manuscript: John B. Scannella, David W. Roberts, John R. Horner. _x_Prepared for submission to a peer-reviewed journal ___Accepted by a peer-reviewed journal ___Officially submitted to a peer-reviewed journal ___Published in a peer-reviewed journal 194 Abstract The Hornbills (Aves, Bucerotidae) are a diverse clade of extant avian dinosau which are found in Africa, Asia, and Oceania. This group is distinguished by an enlarged beak and, in many species, a pronounced cranial casque. In order to explore the development, variation, and possible functions of the casque a morphometric study conducted on a series of skulls of the Black-casqued Hornbill (Ceratogymna atrata) from the Cameroon Province of Africa. C. atrata are sexually dimorphic with males exhibitng a larger, more elaborate casque than females. Linear measurements and 2-D geometric morphometric landmark data were collected from 33 skulls of C. atrata, as well as specimens of the sympatric taxa C. elata and Bycanistes albotibialis. Standard major axis regressions indicate strong positive allometry in the casque of C. atrata, which appea first expand dorsally before becoming increasingly anteriorly projected. Principal component analyses segregate sexes, though placement of an immature specimen wh does not exhibit mature casque morphology is ambiguous in rs was rs to ich the analysis of the linear sely dataset. Multivariate analysis of variation reveals that casque morphology is not only correlated with gender, but also with taxon designation. Removal of casque data from multivariate analyses causes overlap between genders and taxa in skull morphospace. Results suggest that the casque may function primarily as a display structure and likely evolved due to sexual selection. A secondary role in species recognition between clo related taxa is suggested. 195 Introduction Among the most distinctive features used to identify and diagnose non-avian dinosaur taxa are the elaborate forms of cranial ornamentation expressed in many clades. Such cranial structures are found in nearly all major non-avian dinosaur clades and are particularly pronounced in the marginocephalians which sport a variety of spikes, enlarged domes, horns, and frills (see, for example, Dodson et al. 2004; Maryanska et al., 2004). The shape and configuration of these structures are often the basis for taxonomic assignments (e.g. Sampson, 1995; Farke, 2011). Several hypotheses have been proposed to explain the persistent reoccurrence of these 'bizarre structures' (sensu Gould, 1974) within the Dinosauria, including functions in defense, thermoregulation, communication, and display (Barrick et al., 1998; Farke, 2014; Padian and Horner, 2011). Recently, debate has focused on the degree to which these structures may have functioned in species recognition or as objects of sexual selection (e.g. Padian and Horner, 2011a; 2011b; 2013; Knell and Sampson, 2011; Knell et al., 2013). Extant mammals, particularly bovids, are often used as analogues for non-avian dinosaurs which possessed 'bizarre' cranial structures (e.g. Ostrom and Wellnhofer, 1986; 1990). However, members of the dinosaurian extant phylogenetic bracket (EPB; Witmer, 1995) which includes crocodylians and avian dinosaurs (birds) may be more appropriate analogues. Dodson (1975a) briefly discussed casque development in the cassowary (Casuarius) for the purpose of comparison with the similarly adorned lambeosaurine hadrosaurs. That study, along with related allometric studies of Alligator (Dodson, 1975b) and Sceloporus (Dodson, 1975c), quantified skeletal variation in extant groups in 196 ial 2009) and eratopsians (e.g. Sampson, 1995; Horner and Goodwin, 2006; Currie et al., 2008; cannella and Horner, 2010; Schott et al., 2011). The cassowary aside, extant dinosaur relatives rarely exhibit osseous cranial ornamentation elaborated to the extent observed in non-avian dinosaurs. A notable exception to this are the hornbills (Family: Bucerotidae; Rafinesque, 1815; Wallace, 1863), a speciose group distributed from western sub-Saharan Africa to the Solomon Islands of Oceania (Kemp, 1995). Many species of hornbill exhibit pronounced cranial casques which are often sexually dimorphic , being larger and more elaborate in males than females. Though sexual dimorphism has been suggested to be present in several non-avian dinosaur taxa (e.g. Dodson, 1975; 1976), proposed differences between sexes are currently restricted to proportional variations as opposed to discrete features which are present in only one sex (Padian and Horner, 2011a; 2011b). The casque found in hornbills is an exemplar of the ambiguity surrounding 'bizarre' structures, for even in this group of extant animals the possible functions of the casque remains a subject of study. Hypothesized functions include roles in reinforcement of the beak, sound conductance, and display (Alexander et al., 1994; Kemp, 1995; Gamble, 2007, Kinaird and O'Brien, 2007). There are also reports of hornbills engaging in head-butting behavior (Raman, 1998; Cranbrook and Kemp, 1998), suggesting that the order to illuminate potential sources of variation in non-avian dinosaurs. Dodson emphasized the potential for dramatic cranial transformations throughout ontogeny (a source of potential systematic complications noted by Rozhdestvensky [1965]). Radical cranial transformations are found in multiple non-avian dinosaur taxa exhibiting cran ornamentation including pachycephalosaurs (Horner and Goodwin, c S 197 development Ceratogymna atrata: the Black-casqued Hornbill casque functions as a weapon for intraspecific combat. Following the work of Dodson (1975a,b,c) we provide here a morphometric study of casque variation and in a population of Ceratogymna atrata (the Black-casqued Hornbill [Kemp, 1985]) and other sympatric hornbill taxa in order to examine variation in the cranial casque and assess a potential role as an object of display between indiviudals. Ceratogymna atrata is a large (adult length ~ 60-70 cm) species of hornbill found in western sub-Saharan Africa (Kemp, 1995). The taxon is dimorphic with the sexes exhibiting different cranial colo ck heads with blue coloration around the eyes whereas females have red-brown heads with pale forenecks) and the males sporting more elaborate cranial casques. Females exhibit smaller, less elaborate casques. Both males and females exhibit similar coloration and reduced casque morphology as juveniles with males expressing the adult plumage at the end of the first year (Kemp, 1995). A lifespan of at least 19.5 years has been recorded for a specimen in captivity (Kemp, 1995). C. atrata inhabits forests and feeds primarily on fruits, berries, and occasional insects (Kemp, 1995). This species is hypothesized to be monogamous (Fry et al., 1988; Kemp, 1995; Stauffer and Smith, 2004), and it is suggested that C. atrata may congregate in cooperatively breeding groups in which individuals other than the breeding pair will also help with feeding the young (Kemp, 1995). C. atrata nests in trees with the female being sealed inside natural holes. A narrow slit is left as an opening, through which males bring food to the female (Kemp, 1995). Recent studies suggest that during years when rations (males have bla 198 rnbill l hat C. atrata and C. elata (as well as Materials and Methods fruit is scarce female C. atrata will not seal themselves inside nests and, further, that breeding pairs may forego nesting altogether (Stauffer and Smith, 2004). The biogeographic range of C. atrata overlaps with that of other hornbill species, including the Yellow-Casqued Hornbill (C. elata) and the White-Thighed Ho (Bycanistes albotibialis; Kemp, 1995). These taxa also sport dimorphic crania ornamentation (Fig. 1B,C). Kemp (1995) reports t the Brown cheeked hornbill [B. (=C.) cylindricus], of which B. albotibialis was once considered a subspecies) are often found feeding in the same trees. nternational or t the current dataset Paleontologists studying extinct taxa are often restricted to analyses of osteology and in much the same way the hornbill sample used in this study is purely osteological. The hornbill skulls examined in this study are in the Osteology Collection at the Museum of the Rockies (MOR) and were acquired through Skulls Unlimited I (Oklahoma City, OK, USA). Thirty-three skulls of C. atrata, as well as three skulls each of C. elata and B. albotibialis, were measured for this analysis. A total of 32 linear measurements was taken from each skull (See Appendices 1,2, and Fig. 2 for measurements taken). All measurements were taken with digital calipers. As casque development and variation is the subject of primary interest in the current study, 10 measurements were taken from the casque. Unfortunately, no age data was available f the specimens used in this analysis. Previous studies of Asian hornbill species have suggested that males may require at least four to five years to fully develop the mature casque morphology (Frith and Douglas, 1978). Further, we note tha 199 f s n of the slope h ture studies. A principal component analysis (PCA) of the variance of log-transformed data was implemented to explore variation within the linear dataset in R. For the PCA values were estimated using the Bayesian Principal Component does not include hatchling-sized individuals and thus cannot explore variation in casques at this very early age. Observations of other taxa suggest that the casque morphology o males and females may be indistinguishable at very early developmental stages (Frith and Douglas, 1978). Though specimens were sexed, we note that MOR-OST 1622 was received labeled as a female C. atrata but casque morphology of this individual appear to be consistent with an immature male (Fig. 3D). Linear measurements were log-transformed in PAST version 2.12 (Hammer et al., 2001) and subjected to standard major axis (SMA, also referred to as reduced major axis [RMA; Schott et al. 2011]) regressions using the lmodel2 package (Legendre, 2013) i the statistical program R (R Core Team, 2013). All SMA results are presented in Appendix 3. Trends were considered isometric if the 95% confidence interval included 1, positive if the slope was greater than 1, and negative if less than 1. Thoug sample sizes for the other hornbill taxa were very low (n=3 for each), SMA results were recorded for comparative purposes and as a basis for fu analysis, missing Analysis (BPCA) method (Oba et al., 2003) in the package pcaMethods (Stacklies et al., 2007). Additionally, a cluster analysis of a Euclidean distance matrix of the linear data was conducted using the UPGMA (Unweighted Pair Group Method with Arithmetic Mean) algorithm. These analyses were first run on the entire dataset and then on a version of the dataset in which all measurements of the casques were removed, in order to explore the role the casque plays on distinguishing sexes and taxa. 200 re with n . R using the package Geomorph (Adams and Otarola-Castillo, Results As linear measurements may not capture subtle details of variation in the complex shapes of hornbill casques, landmark based geometric morphometric (GM) analyses were conducted based on photographs of the left lateral view of each skull (see also Fab et al., 2014 for comparisons of linear and GM approaches). Photographs were taken a J2 model Nikon camera. Thirteen landmarks and 12 semilandmarks were plotted o each skull using the software TPSUtil (Rohlf, 2012) and TPSDig2 (Rohlf, 2012; Fig. 2) PCA analyses were run in 2013). PCAs were conducted on the entire skull as well as in a second analysis in which the three landmarks and 12 semilandmarks which form the outline of the casque and adjoining anterior dorsal surface of the rostrum were removed in order to examine the effect that the shape of the casque and bill had on clustering of individuals in morphospace. Multivariate Analysis of Variance (MANOVA; Anderson, 2001)was performed on the Euclidean distance matrix of the linear and shape data using the 'adonis' function in the vegan package (Oksanen et al., 2013). elative Growth R gression analyses of linear measurements reveal positive allometry for all dimensions of the casque relative to basal skull length in C. atrata (Appendix 3; Fig. 4). Only two of the measured skull dimensions (orbit length and distance from the jugal- maxilla contact to the pterygoid-palatine contact) exhibit negative allometry. The dataset highlights variation in the casque morphology. The distance from the maxilla/jugal contact to the dorsalmost point of the casque (perpendicular to the jugal bar; hereafter SMA re 201 e he ove Multivariate Analyses referred to as posterior casque height) ranges from 73.25 to 84.8 mm in the five smallest male specimens (based on basal skull length; MOR-OST-1622, MOR-OST-285, MOR- OST-1621, MOR-OST-1625, MOR-OST-1627). This range encompasses the value for the largest specimen in the data set (MOR-OST-279; basal skull length 203.5 mm; posterior casque height 81.07 mm). MOR-OST-1631 exhibits the greatest posterior casque height (90.225 mm) despite not being the largest specimen in the sample (basal skull length 187.7 mm). The smallest males (MOR-OST-1622, BSL 163 mm; MOR-OST-285, BSL 173 mm) express the shortest total casque length (112mm and 116 mm, respectively) whereas MOR-OST-277 possesses a casque which is more than 6 mm longer than that of th largest male (MOR-OST-279; casque length 193.9 mm compared to 200 mm in MOR- OST-277). Unlike other male specimens, the immature individual MOR-OST-1622 exhibits a casque which does not project anterior to its anteriormost contact point with t rostrum. Instead the casque ascends posteriorly, from an initial height of 3.3 mm ab the rostrum to a posterior casque height of 73.25 mm. This results in a structure which is strongly anteriorly sloped and markedly different from other male C. atrata. In a plot of the first two principal components of the PCA of linear measurements (Fig. 5), two distinct clusters of C. atrata are apparent; one cluster is constituted by males and the other predominately by females. MOR-OST-1622 , believed to be an immature male individual, groups with the females; this specimen exhibits markedly different cranial ornamentation from other males in the dataset due to the ontogenetic expansion of 202 ree g the posterior casque height (measurement 28), casque de h the les emov ping the casque (Fig. 3). Approximately 89% of the total variation is captured by the first th axes with 69.45% of the variation explained by the first PC (Appendix 4) and 14.65% explained by PC2. PC1 is strongly associated with dimensions of the cranial casque, the highest loading variables bein width (measurement 27), anterior casque height (measurement 29), and overall casque length (measurement 23; see Appendix 4). All variables exhibit negative loadings asi from the width of the orbit (measurement 14). PC 2 is also strongly associated wit casque dimensions, particularly casque width (measurement 27) and the distance from tip of the beak to the anteriormost point of the casque (measurements 31 and 32). Ma of C. elata and B. albotibialis are distinguished from C. atrata along PC2, with B. albotibialis falling at the periphery of the C. atrata grouping. The female C. elata and B. albotibialis (n=1 for each) plot relatively close together, but are distinguished from female C. atrata along PC2. Larger sample sizes of C. elata and B. albotibialis will be needed to explore the degree to which these taxa overlap in morphospace, if at all. R al of measurements of the casque results in male and female C. atrata overlap in morphospace (Fig. 5B) with the strongest loadings associated with the morphology of the dorsal projection of the jugal bar (measurements 21 and 22). Further, all three hornbill taxa overlap when casque measurements are removed from the analysis. A UPGMA cluster analysis of the Euclidean distance matrix of the linear dataset distinguishes male from female C. atrata, but groups the immature MOR-OST-1622 with female specimens (Fig. 6a). The female specimens of C. elata and B. albotibialis group together, and the remaining male specimens of all taxa are found to be more similar to each other than to the females. Male C. elata are recovered just outside a cluster of male 203 C. ween linear dataset indicates a er remains unchanged (p-value=.001) however the R2 value ed 4). ale atrata in a plot of the first two PCs (Fig. 5C). Approximately 90% of the tal variation is captured by the first three axes with 57.91% being captured by the first st al., e xa C. atrata whereas MOR-OST-285, a small male C. atrata which does not exhibit a strongly anteriorly projecting casque, is suggested to be less similar to other male atrata. When casque data are removed from the linear dataset, clear distinctions bet genders and species are lost. A MANOVA of the Euclidean distance matrix of the statistically significant correlation between cranial morphology and both the species designation (p-value =.003) and gender (p-value =.001; Table 1) of the hornbills. Approximately 45.18% of the variance in the dataset is explained by gender whereas species explains 12.92%. When measurements of the casques are removed from the dataset, the p-value for gend is greatly reduced indicating that only 23.58% of the variance in the dataset is explain by gender once casques are removed. The R2 value for species increases slightly when casques are removed (R2=.1665) and there is a corresponding increase in p-value (.00 both categorical variables have a statistically significant correlation with morphology. The GM analysis of shape data also distinguishes hornbill taxa and genders. Further, this analysis distinguishes the immature specimen MOR-OST-1622 from fem specimens of C. to PC and 24.35% captured by PC2. PC1 is associated with landmarks of the anteriormo beak and casque and position of the jugal bar, quadrate, and dorsal apex of insertion for the M. adductor mandibulae externus profundus (following terminology in Quayle et 2014) . Positive values of PC2 are associated with the position of the dorsal extent of th casque and the male C. elata are clearly distinguished from males of the other two ta 204 most - ividual n is removed from the GM analysis, the p-value shows a greater Discussion along this axis (Fig. 5C), whereas in the PCA of linear measurements these specimens were grouped closer to male C. atrata specimens. Male B. albotibialis are again recovered on the periphery of the male C. atrata grouping. Removal of landmarks associated with the casque-beak complex (all beak landmarks aside from the anterior point) caused all taxa to overlap in morphospace (Fig. 5D). UPGMA cluster analysis of the GM dataset recovers the immature MOR-OST 1622 closer to male C. atrata than to a cluster of females, however male B. albotibialis are suggested to be more similar to the male C. atrata group than the immature ind (Fig. 6A). As with the PCA, removal of casque landmarks dissolves resolution betwee taxa and species (Fig. 6B). A MANOVA of the GM shape data reveals significant correlations between cranial morphology and gender (p-value = .001) and species (p-value =.001; Table 1). 45.59% of variance is explained by gender whereas 23.75% is explained by species. When casque morphology increase for species (p-value=.019) than gender (p-value =.003). Variance explained by gender decreases to only 9.75% and that explained by species is reduced to 11.72%. ; aller - OST-285; Fig. 3B,C). The largest casques (e.g. MOR-OST-277; Fig. 3A) exhibit a In male C. atrata, development of the casque appears to initiate with a dorsal expansion in the posterior casque region (exemplified by the immature MOR-OST-1622 Fig. 3D) followed by an increase in size of the anterior region of the casque. Sm males exhibit a relatively antero-posteriorly short casque (e.g. MOR-OST-275, MOR 205 ied Hornbill to be represented by pronounced ,B). It only male individuals exhibiting the fully mature casque morphology wever the fact that some hornbill taxa require three to five ears to attain the mature morphology has been used to suggest the possibility that breeding can occur before the casque is fully developed (Frith and Douglas, 1978). Due to a limited sample size for other hornbill taxa, the current analysis does not indicate whether immature individuals of sympatric taxa exhibit similar casque morphologies at equivalent growth stages. PCA analyses of both linear and GM data indicate that casque morphology can be used to distinguish the sexes of C. atrata once the mature morphology is developed (Fig. 5A,C). Further, it is interesting to note that female C. atrata do not overlap females of C. elata and B. albotibialis in morphospace. This suggests that, based on casque morphology alone, a hornbill can identify a member of the opposite sex of its species (a potential mate) as well as both genders of other hornbill species. The males of the three hornbill taxa are also segregated to some degree in morphospace, with greater segregation apparent in the GM analysis. It appears that not only is it important for pronounced anterior extension. Frith and Frith (1978)considered attainment of the mature casque morphology in the Northern P forward extension over the mandibles and noted hornbills actively rubbing the anterior base of the casque against objects, which further accentuated the prominence of the anterior projection. Results of the SMA regressions indicate that all measured dimensions of the cranial casque exhibit positive allometry in C. atrata. The immature specimen MOR-OST-1622 is occasionally recovered among female specimens (e.g. Fig. 4A is unclear if participate in breeding, ho y 206 the Implications for Casque Function hornbills to be able to visually identify potential mates, but also to recognize individuals which are members of other species. Removal of casques from the analysis results in a reduction of gender segregation in PCA and cluster analysis results (Fig. 5; 6), indicating that casque shape conveys visual information about gender which is lost in its absence. MANOVA results indicate a dramatic reduction in resolution between genders when casque data are removed from analysis. The distinction between taxa is also obscured when the casque data are removed. Although there is casque variation within a population of C. atrata, morphology does not overlap that of sympatric taxa and mature males and females are readily distinguished. This supports hypotheses that the casque conveys visual information (e.g. Kinaird and O'Brien, 2007), particularly between mature individuals. Further work will be needed to access the degree to which the casque is used as a visual cue throughout an individual's ontogeny. The fact that some hornbill taxa have been reported to take up to five years to develop a fully mature casque morphology is suggestive of the various shapes it attains throughout ontogeny (Fig.4) being themselves informative to other hornbills. A similar scenario is proposed for the elaborate cranial transformations which some non-avian dinosaurs underwent throughout growth (see, for example: Dodson, 1975a; Sampson, 1995; Horner and Goodwin, 2006; 2009; Scannella and Horner, 2010). Strong dimorphism in casque shape indicates that these structures evolved through sexual selection (see Darwin, 1871; Padian and Horner, 2011). Other researchers 207 ave . l and functional explorations will help quantify the degree to he al that seen in some non-avian dinosaur groups. For example, loped the conductance (Alexander et al., 1994) with larger casques producing calls which travel have suggested that the casque may have originated as additional support for an elongate bill (Kemp, 1995; Kinaird and O'Brien, 2007). Long-billed avian taxa which do not exhibit enlarged casques (such as kingfishers, storks, and toucans) are suggested to h evolved alternative reinforcements for these structures, or to typically use their bills in ways that do not direct stresses in the same way as hornbills (Kinaird and O'Brien, 2007) Comparative mechanica which the casque plays a role in bill reinforcement, but if an initial thickening of the bill did evolve as structural reinforcement it would be all that was required for that area of t skull to become a subject of selection. Taxa hypothesized to be evolutionarily more bas appear to exhibit smaller casques (Kinarid and O'Brien, 2007) and it has been posited that, as with the famous analogy to the spandrels of San Marco proposed by Gould and Lewontin (1979), the casque of the hornbill may have been greatly elaborated as a biproduct of its presence for a structural purpose (Kinarid and O'Brien, 2007). This scenario may be analogous to basal ceratopsians exhibit a parietal-squamosal shelf which may have initially deve as a mechanical adaptation and later evolved into the greatly elaborate frill of derived ceratopsids (Xu et al., 2006; Makovicky and Norell, 2006). We note that the skull of female C. elata in our dataset is larger than any of the female C. atrata and yet it has a much smaller cranial casque than those individuals (Compare Fig. 1A and B). This indicates that an enlarged casque is not required for an elongate bill and suggests another role, such as visual display, contributes to the morphology of these structures. There is some evidence to suggest that the casque plays a role in sound 208 a t converged upon visual solid l d- , n of en primarily by selection for its utility as a display further throughout dense forests (Kinaird and O'Brien, 2007). We note that hornbill tax with large casques, such as those examined in the current study, have no a single, optimal shape for sound conductance, but instead exhibit a wide variety of casque shapes. The casques may be analogous to the cranial crests of lambeosaurine dinosaurs which are hypothesized to have functioned in both nasal resonance and display (Evans, 2009). Head-butting behavior is noted in the only hornbill taxon which exhibits a casque, the Helmeted Hornbill (e.g. Shneider, 1945; Cranbrook and Kemp, 1995). Al other hornbill taxa possess a largely hollow casque support by thin, bony struts. Hea butting behavior has also been observed in the Great Hornbill (Buceros bicornis) which at times, has been considered congeneric with the Helmeted Hornbill (Raman, 1998). The rarity of these observations suggests that intraspecific combat, though potentially a derived use of a pre-existing structure, was not the primary driver behind the evolutio this bizarre cranial structure. The diversity of casque shapes exhibited by hornbill taxa suggests that the evolution of the casque may be driv object. Recent debate has centered on the question of whether 'bizarre' structures in dinosaurs function primarily as objects of sexual selection or species recognition (Padian and Horner, 2011a, 2011b, 2013; Knell and Sampson, 2011; Knell et al., 2013). The dimorphism present in C. atrata suggests that the casque evolved due to sexual selection; a hypothesis which is supported by our quantitative assessment of morphology. However, a secondary role as an object of species recognition is not falsified by this study as 209 f C. might be important to prevent hybridization. ybridization has been reported between subspecies of the Red-Billed hornbill, a genus hich, interestingly, does not exhibit a pronounced casque (Delport et al., 2004). ed on the ing feathers ." (pg. 356). It is possible that these taxa have only diverged relatively recently. Genetic similarity between these closely related (if in fact distinct) species ombin r nd 'Brien, 2007). These other signals may amplify the visual information supplied by asque morphology, or may present information on different aspects of the individual to otential mates, rivals, or others (Moller and Pomiankowski, 1993; Curio, 2004). Future udies will further illuminate the degree to which the casque of the hornbill is used to istinguish closely related species. The fact that these taxa are extant will permit for the hornbill taxa are distinguishable based on shape of the casque though the casque o atrata appears to be a stronger indicator of gender rather than species. Correctly identifying conspecifics H w However, there is a more recent report of hybridization within the elaborately casqu Great Hornbill (Buceros bicornis) and Rhinoceros Hornbill (Buceros rhinoceros; Chamutpong et al., 2013). The authors note: "The great and the rhinoceros hornbills resemble one another in their overall body size, appearance, bill and plumage, with similar sexually dimorphic eye colours and black markings on the bill and casque, but with lesser differences in casque shape, colour and size, and in the extent of white w c ed with declining numbers of potential mates and changing habitats may allow fo or lead to hybridization (Chamutpong et al., 2013). In such a scenario, the ability to hybridize might be advantageous. The casque is one of a series of potential signals, including plumage color and vocalizations, used by hornbills to convey information to other individuals (Kinaird a O c p st d 210 pe of observations and experiments which are not available to paleobiologists. Comparisons to other, more distantly related avian taxa which exhibit cranial ornamentation, will be most informative. Conclusions ty The casque of C. atrata exhibits strong positive allometry. This dimorphic structure likely evolved under sexual selection and may also play a role in distinguishing C. atrata from sympatric hornbill taxa. Further studies of extant bird species which xhibit 'bizarre' cranial structures will aid in understanding the function of similar Acknowledgments e structures in extinct dinosaurs. Current evidence supports hypotheses that these structures were primarily used for communicating visual information between individuals. Thanks to N. Campione, J. Clarke, A. Farke, J. Fearon, E. Ferrer, E. Fowler, M. Goodwin, K. Padian, K. Purens, K. Scannella, R. Schott, D. Strosnider, D. Swiderski, I. Trevethan, D. Varricchio, and M. Zelditch for comments and conversations over the course of this study, without implying their agreement with our conclusions. Funding for this study was provided by Ed and Janet Sands and the Museum of the Rockies Inc. 211 Figure 6.1. Hornbill taxa included in this study. A) C. atrata male (MOR-OST-277), B) C. atrata female (MOR-OST-259); C) C. elata male (MOR-OST-290), D) C. elata female (MOR-OST-1634); E) B. albotibialis male (MOR-OST-1620); F) B. albotibialis female (MOR-OST-1636). Scale, 10 cm. 212 Figure 6.2. Select measurements and landmarks. A) Skull in lateral view showing select linear measurements. B) Skull in ventral view showing select linear measurements. C) Landmark (blue) and semilandmarks (green) used in GM analyses. 213 Figure 6.3. Hypothesized male C. atrata growth series. A) MOR-OST-277. B) MOR- OST-275. C) MOR-OST-285. D) Immature male (MOR-OST-1622). Scale, 10 cm. 214 Figure 6.4. Standard major axis (SMA) regression results. Bivariate plots of select cranial measurements against basal skull length. A) Casque Length. B) Anteriormost point of bill (AB) to anteriormost point of casque (AC). C) Casque Height above anteriomost con with bill. D) Width of casque dorsal to the lacrimal suture along anterior margin of orbit SMA results presented in Appendix 6.3. tact . 215 Figure 6.5. Results of linear and geometric morphometric (GM) principal component nalysis. A) Results of PCA of log-transformed linear measurements. B) Results of PCA ormed linear measurements after measurements of the casques has been moved. C) Results of GM PCA. D) Results of GM PCA after landmarks and semi- arks representing the shape of the casque and dorsal surface of the bill have been emoved. Color codes are the same as for Figure 6.4. a of log-transf re landm r 216 Figure 6.6. Results of UPGMA cluster analyses. A) UPGMA cluster analysis of linear measurements. B) UPGMA cluster analysis of linear measurements with casque measurements removed. C)UPGMA cluster analysis of GM data. C) UPGMA cluster analysis of GM data once landmarks for casque and dorsal surface of bill have been removed. Color codes are the same as for Figure 6.4. 217 Table 6.1. MANOVA Results.   Df  Sums of  Sqs  Mean Sqs  F. Model  R2  Pr(>F)  Linear with casque  Species  2 1.9989 0.9994 6.961 0.12922  0.003 Gender    **  1 6.9884 6.9884 48.675 0.45179  0.001  ***  Linear casque Species:Gender  2 1.7431 0.8716 6.071 0.11269  0.003  **  Residuals  33 4.7379 0.1436 0.3063  Total  38 15.4684 1   without    0.03005 0.01502 0.5827 0.02039  0.77  GM w Species  2 0.24531 0.12266 4.7568 0.16645  0.004  **  Gender  1 0.34753 0.34753 13.4777 0.2358  0.001  ***  Species:Gender  2 Residuals  33 0.85091 0.02579 0.57736  Total  38 1.4738 1  ith casque  Species  2 0.015566 0.077828 14.406 0.23747  0.001  ***  GM w Gender  1 0.29887 0.298869 55.32 0.45595  0.001  ***  Species:Gender  1 0.01727 0.017274 3.1997 0.02635  0.071  .  Residuals  34 0.18369 0.005403 0.28023  Total  38 0.65549 1  ithout casque  Species  2 0.005671 0.00283 2.6218 0.11718  0.019  *  47 0.02558  0.28  Residuals  34 0.036771 0.00108 0.75979  Significance Codes:   0'***'  0.001'**'  0.01'*'  0.05'.'  0.1''  1  6 Gender  1 0.004716 0.004716 4.3607 0.09745  0.003  **  Species:Gender  1 0.001238 0.001238 1.14 2 Total  38 0.048396 1    218 Literature Cited dams D.C., E. 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The extant phy Paleontology, 1: 19-33. Xu X., C.A. Forster, J.M. C features from the La Society London B. 273(1598): 2135-2140. 223 CHAPTER SEVEN S IN CRANIAL S AND "TOROSAURUS" FROM THE NTANA Contribution of Authors and Co-Authors A MORPHOMETRIC ANALYSIS OF TREND MORPHOLOGY IN TRICERATOP HELL CREEK FORMATION, MO anuscript in Chapter 7 uthor: John B. Scannella ontributions: Conceived the study, collected data, analyzed data, interpreted results, and rote the manuscript. o-author: Kristopher J. S. Purens ontributions: Analyzed data, interpreted results, wrote the manuscript. o-author: John R. Horner ontributions: Conceived the study, discussed implications of results, edited drafts of the anuscript.   M A C w C C C C m               224 Manuscrip tion Paget Informa Status of Manuscript: John B. Scannella, Kristopher J. S. Purens, John R. Horner. _x_Prepared for submission to a peer-reviewed journal ___Accepted by a peer-reviewed journal       ___Officially submitted to a peer-reviewed journal ___Published in a peer-reviewed journal   225 Abstract large ds in ith the to further raphic remaxilla. r in ratops may have diverged early in or prior to deposition of the Triceratops is the most commonly recovered non-avian dinosaur in the upper Cretaceous Hell Creek Formation (HCF) of Montana. Recent analyses based on the sample of specimens (n>50) collected over the course of the multi-institutional Hell Creek Project (HCP) have provided evidence for ontogenetic and evolutionary tren the cranial morphology of this taxon. The proposed synonymy of Triceratops w coeval ceratopsid taxon "Torosaurus latus" remains a subject of ongoing research and debate. Here, linear and geometric morphometric approaches were taken quantify variation in the HCP dataset. Further statistical support is found for stratig trends in the morphology of the epinasal, squamosal, and nasal process of the p The scarcity of "Torosaurus" specimens in the upper half of the formation and the recovery of these specimens close to or overlapping Triceratops horridus (found in the lower half of the HCF) in morphospace is consistent with "Torosaurus latus" representing the mature form of T. horridus, and suggests that as Triceratops evolved it retained the immature (and basal) character states of the parietal-squamosal frill longe ontogeny. Alternatively, our results are also consistent with the hypothesis that "Torosaurus" and Trice HCF with T. horridus exhibiting more similarities to the "Torosaurus" morphology and the Triceratops lineage evolving away from the basal condition over the course of the end-Cretaceous, culminating in T. prorsus in the upper unit of the HCF. 226 Introduction One of the primary goals of paleobiology involves deciphering morphological patterns and trends in the fossil record. As the field moves away from qualitative, typological assessments of taxonomy towards a more rigorous phylogenetic approach, quantitative methods for assessing variation within and between taxa have become increasingly critical (e.g. Padian and Horner, 2002; Hunt and Rabosky, 2014). Intraspecific variation, including that resulting from ontogenetic (developmental) change, can dramatically affect evolutionary and taxonomic interpretations (e.g. (Rozhdestvensky, 1965; Dodson, 1975; Gould, 1977). While non-avian dinosaurs represent one of the most recognized and popular groups of fossil vertebrates, quantitative studies of variation in dinosaurs are often hindered by relatively small sample sizes for many taxa, especially when compared to those which are often available for invertebrates and mammals (see, for example, Gingerich, 1985; Cheetham, 1986). Increasingly, quantitative approaches are being applied to examining variation within dinosaurs as sample sizes increase (e.g. (Dodson, 1975, 1976; Chapman et al., 1981; Forster, 1996; Campione and Evans, 2011; Mallon et al., 2011; Schott et al., 2011; Maiorino et al., 2013). The chasmosaurine ceratopsid Triceratops (Marsh, 1889; Hatcher et al., 1907) has had a particularly complicated taxonomic history, due at least in part to the fact that it is well represented in the upper Cretaceous formations of western North America. Brown (1917) noted that he'd encountered hundreds of fragmentary skulls of this animal over the course of his fieldwork in the upper Cretaceous Hell Creek Formation (HCF) of Montana. 227 ens (see Ostrom nd We e d ongate , ely tion nth n extensive study of the HCF of Montana (the Hell Creek Project [HCP]) has aur taxa At least 16 species of Triceratops have been named since its initial description, based largely on qualitative assessments of cranial variation between specim a llnhofer, 1986; 1990). In 1996, this number was reduced to two through the application of linear morphometric and cladistic methodologies (Forster, 1996). Th currently recognized species, T. horridus and T. prorsus, are distinguished primarily by the morphology of the rostrum (elongate with a sinusoidal margin in T. horridus and more convex in T. prorsus) and postorbital horn cores (typically elongate in T. horridus and shorter in T. prorsus [Forster, 1996]). Marsh initially distinguished these taxa base on the shape of the nasal horn, which is short in the holotype of T. horridus and el in T. prorsus (Marsh, 1890). Though Triceratops is represented by numerous specimens, juvenile Triceratops were only rarely recovered (Brown and Schlaikjer, 1940; Tokaryk, 1997), and as such the range of ontogenetic variation in this genus was largely unknown until relativ recently (Horner and Goodwin, 2006, 2008; Horner et al., 2011; Goodwin and Horner, 2014). Further, studies of variation in Triceratops have been hindered by low resolu stratigraphic data associated with many of the specimens collected in the late ninetee and early twentieth centuries (Ostrom and Wellnhofer, 1986; Farke, 1997; Scannella et al., 2014). A increased our understanding of the stratigraphy of this formation and resulted in the collection of numerous new fossil specimens, including over 50 new specimens of Triceratops (Horner et al., 2011; Scannella and Fowler, 2014). A census of dinos 228 he ased largely on data collected over the course of the HCP, Horner and Goodwin further at the back of the skull, and that these lements expanded late in ontogeny resulting in the morphology which had been onsidered diagnostic of the coeval ceratopsid "Torosaurus latus" (Marsh, 1891). The proposed synonymy of Triceratops and "Torosaurus" has been the subject of ongoing study and debate (see Farke, 2011; Horner and Lamm, 2011; Scannella and Horner, 2011; Longrich and Field, 2012). Most recently, Maiorino et al. (2013) conducted a geometric morphometric study of Triceratops skulls and squamosals which suggested that Triceratops and "Torosaurus" occupied non-overlapping regions of morphospace, and interpreted that as evidence that they are distinct taxa. However, Maiorino et al. (2013) noted that the stratigraphic resolution in their study was limited to the formational level and could not examine variation in a more detailed stratigraphic context. Scannella et al. (2014) examined details of the cranial morphology of Triceratops from the HCF in stratigraphic context and found evidence for the stratigraphic separation of T. horridus and T. prorsus, with T. prorsus recovered in the upper unit of the formation (U3) and T. horridus only found lower in the formation. Specimens recovered in the formation reveals that 40% of skeletons are referable to Triceratops, making it t most commonly recovered dinosaur in the HCF (Horner et al., 2011). B (2006) found that as Triceratops matured the skull underwent a series of dramatic changes. The orientation of the postorbital horn cores and shape of epiossifications of the parietal-squamosal frill changed throughout growth. Scannella and Horner (2010) hypothesized that the cranial transformation of Triceratops included changes in the shape of the parietal and squamosal bones of the frill e c 229 iceratops may have incorporated anagenetic change. Building on this previous research, we present here a morphometric analysis of d Institutional Abbreviations from the middle of the formation exhibit a combination of T. horridus and T. prorsus features, suggesting that the evolution of Tr cranial variation in Triceratops within the stratigraphic framework of the HCF. Our aim is to further quantify variation in the dataset and test hypotheses which have been proposed regarding the growth and evolution of Triceratops, including the hypothesize synonymy of Triceratops with "Torosaurus". ANSP, Academy of Natural Sciences of Philadelphia, Pennsylvania, USA; AMNH, American Museum of Natural History, New York, New York, USA; BYU, Brigham Young University Earth Science Museum, Provo, Utah, USA: DMNH, Denver Museum of Nature and Science, Denver, Colorado; FMNH, Field Museum of Natural History, Chicago, USA; GMNH, Gumma Museum of Natural History, Gumma, Japan; LACM, Natural History Museum of Los Angeles County, Los Angeles, USA; MNHM, Muséum National d’Histoire Naturelle, Paris, France; MOR, Museum of the Rockies, Bozeman, USA; MPM, Milwaukee Public Museum, Milwaukee, USA; OMNH, Oklahoma Museum of Natural History, Norman, Oklahoma, USA; RTMP, Royal Tyrrell Museum, Drumheller, Alberta, SMM, Science Museum of Minnesota, St. Paul, USA; UCB, University of Colorado Museum of Natural History, Boulder, Colorado; UCMP, University of California Museum of Paleontology, Berkeley, California, USA; USNM, 230 Methods National Museum of Natural History, Washington D.C., USA; YPM, Yale Peabody Museum, New Haven, Connecticut, USA. ar ram ; Figure 7.1; 7.2; Appendix 7.1). Regressions were primarily to exhibit sidered Cranial variation in the HCF Triceratops dataset was explored through both line and geometric morphometrics (GM). Linear measurements of the skull were subjected to standard major axis (SMA, also referred to as reduced major axis [RMA; Schott et al. 2011] regressions using the lmodel2 package (Legendre, 2013) in the statistical prog R (R Core Team, 2013 performed on the proposed diagnostic features of Triceratops (nasal horn, postorbital horn cores, squamosal, parietal, rostrum) and additional elements hypothesized evolutionary trends in morphology (e.g. nasal process of the premaxilla [NPP], nasal). Regressions were performed relative to basal skull length (BSL) using data presented in Scannella et al. 2014. As the dentary, jugal, occipital condyle, and maxilla were used to estimate BSL for some specimens (see Scannella et al. 2014), these elements were not included in SMA analyses;only specimens for which BSL were known or could be estimated were included in SMA analyses. The estimated BSL for one subadult specimen, MOR 2924, was modified from Scannella et al. 2014; addition of a measurement for maxilla length (45 cm) produced a modified basal skull length estimate of 95.7833 cm. All data were log transformed prior to analyses. Trends were con isometric if the 95% confidence interval of the slope included 1, positive if the slope was greater than 1, and negative if less than 1. 231 s regressions re leas issing data for the measured dimensions. spite a as h We first analyzed all specimens from the HCF together, and then performed individual regressions on the data from each stratigraphic unit based on the subdivision proposed by Horner et al. (2011; the lower unit [L3], middle unit [M3], and upper unit [U3]; see also Hartman et al., 2014). The sample size for L3 is very low, but for this unit were performed for comparative purposes and as a basis for future studies. Following Scannella et al. (2014), elements of the holotype and only know specimen of Eotriceratops xerinsularis, which was discovered in the upper Horseshoe Canyon Formation of Alberta and slightly precedes the HCF in time (Wu et al., 2007) we included in analyses. A principal component analysis (PCA) of the variance of log-transformed data was implemented on the entire linear data set which is composed of 17 cranial measurements (see Figure 7.3A and Appendix 7.2). The specimens in the linear PCA analysis (n=25) represent those with the t m MOR 2982, MOR 3010, and MOR 3064 from M3 were included in the analysis de relatively large amount of missing data per specimen in order to increase representation of individuals from this stratigraphic zone. Linear measurements presented in Scannella et al. 2014 were used for the PCA analysis, with the addition of measurements of the length and width of the parietal, height and width of the orbit, transverse width at the orbit, and width of the squamosal (Appendix 7.3). Due to missing data for the majority of specimens, length of the maxilla was not included in this analysis. Estimates of postorbital horn core length presented in Scannella et al. 2014, however, were included the postorbital horn cores are one of the primary elements of interest in this analysis and the majority of horn cores have broken tips (see Appendix 7.2). Linear dimensions whic 232 n e ix d cted. e been found to undergo changes throughout ontogeny f the were not preserved were estimated using the Bayesian Principal Component Analysis (BPCA) method (Oba et al., 2003) in the package pcaMethods (Stacklies et al., 2007). Measurements were either taken from the better preserved side of the skull or were take from both sides of the skull and averaged. A PCA was then conducted with measurements of the horns and frill (parietal and squamosal) removed, to examine the effect of these elements on distinguishing groupings of specimens (following Dodson, 1993 and Maiorino et al. 2013; Figure 7.3B). Additionally, cluster analyses of the Euclidean distance matrix of the linear data were conducted using the UPGMA (Unweighted Pair Group Method with Arithmetic Mean) algorithm. These analyses wer first run on the entire dataset (Figure 7.3C) and then on a version of the dataset in which measurements pertaining to the horns and frill were removed (Figure 7.3D; Append 7.4). Due to missing data, specimens with the fewest preserved elements were prune from the cluster analyses (Figure 7.2). In order to capture subtleties of shape which may not be apparent in linear measurements, landmark based geometric morphometric (GM) analyses were condu 19 landmarks and 16 semilandmarks were digitized on photographs of articulated skulls in lateral view (Figure 7.1). Landmarks were chosen in order to capture shape variation in morphological features which hav (e.g. postorbital horn cores, squamosal) and throughout the stratigraphic succession o HCF (epinasal, nasal, nasal process of the premaxilla [NPP]), and also based on consistency of occurrence in specimens. Landmarks differ slightly from those used by Maiorino et al. (2013), the major difference being the addition of further landmarks for the postorbital horn cores, nasal, and NPP, as well as removal of landmarks missing in 233 cluded. as sals are all reconstructed for these ecim nd e note 1122 n s, ual cranial bones. The epinasal, postorbital horns, quamo alyses as most specimens or obscured by fusion (see Appendix 7.2). Only articulated skulls or reconstructions with minimal taphonomic distortion or missing landmarks were in UCMP 154452 and MOR 2569, for example, were excluded from the skull analysis the major features of the premaxilla, epinasal, and na sp ens. Similarly, the large specimen MOR 004 was excluded as apparent fusion a preservation of the dentary in close contact with the maxilla obscures the shape of the oral margin. MOR 1199 and MOR 3027 were included in this analysis, though w that the epinasal is reconstructed for each of these specimens. The reconstructed size of the epinasal of MOR 3027 (which preserves the base of the epinasal) is based on other specimens from the same stratigraphic zone (the upper half of M3). Similarly, MOR was included in the analysis, though we note that the postorbital horn cores in this specimen are partially reconstructed. The initial dataset was expanded by including specimens not collected or relocated during the HCP. This allows for comparison with specimens which have been highlighted in previous studies of ontogeny in Maastrichtia chasmosaurines. We note that in nearly all cases the stratigraphic position of these specimens relative to HCP specimens remains to be determined. Analysis of the entire skull was conducted with and without horns and frill, as was done for the linear data set (Figure 7.4; Appendix 7.5; 7.6). To further examine details of variation in Triceratops and in order to include specimens which had to be excluded from the skull analysis due to missing landmark GM analyses were conducted on individ s sal, parietal, nasal, and NPP (Figures 7.6-7.13) were selected for these an these elements are well represented in the HCP dataset and have been hypothesized to 234 ferent s e of the epinasal of MOR 1120 is issing he undergo ontogenetic and evolutionary change within Triceratops. In the instance of paired elements (e.g. squamosals), the better preserved side was used for the GM analysis. For specimens in which both sides were well preserved, the left side was arbitrarily selected for the individual bone analyses. The majority of photographs were taken (by JBS) using a Nikon 1 J2 camera, though some images (primarily those of non MOR specimens) were taken using dif cameras or were from the literature (Appendix 7.7). The number and position of landmarks is recorded in Figure 7.1 and Appendix 7.3. Landmarks and semilandmark were plotted on each photograph using the software TPSUtil (Rohlf, 2012) and TPSDig2 (Rohlf, 2012; Fig. 7.3). PCA analyses were run in R using the package Geomorph (Adams and Otárola-Castillo, 2013). Landmarks were placed at the furthest extent of the element which was preserved; thus, some elements, primarily postorbital horn cores which are often missing the very tip, were likely slightly longer in life. However, w were interested in capturing the major shape changes (such as horn curvature) through growth, and thus did not exclude these elements from the analyses. In the analysis of epinasal shape, the position of one landmark on MOR 2923 was estimated due to the anteriormost base of the horn being missing. The very tip m but was likely within 1 cm of the preserved extent of this bone. Removal of these specimens from the dataset did not substantially alter the results. In instances where the margin of the squamosal was damaged, the curvature of the margin was followed to allow for placement of semilandmarks. Analysis of Variance (ANOVA) and Multivariate Analysis of Variance (MANOVA; Anderson, 2001) were performed on the Euclidean distance matrices of t 235 eric 'toromorph'[=5]). Analyses of the M dataset were also conducted with "Torosaurus" specimens removed. Following orner et al.(2011), stratigraphic levels were L3 (=1), M3 (=2), and U3 (=3). In analyses ps was included, the Horseshoe Canyon Formation was considered umeri er, in order to explore that linear data and the GM shape data using the 'adonis' function in the vegan package (Oksanen et al., 2013; Appendices 8-10). Each data set was analyzed relative to num representations of ontogenetic stage and stratigraphic position in order to test for directional morphologic trends. Ontogenetic stages were determined based on criteria outlined in Horner and Goodwin (2006) and Scannella and Horner (2010) and include: 'baby' (=1) [represented by one specimen, UCMP 154452 (Goodwin et al. 2006)], 'juvenile' [=2], 'subadult'[=3], 'young adult' [=4], and G H where Eotricerato n cally equal to "0". Permutation MANOVA of the shape data was conducted to test the relationship of shape to 1. centroid size and 2. stratigraphic position. Additional analyses of the entire skull tested the relationship of shape to ontogenetic tage and stratigraphic position. As permutation MANOVA is conducted on the distance matrix it avoids potential issues with arbitrary dimension reduction which occur in PCA. Furth least squares regressions were performed on shape data relative to size potential allometry in the GM datasets (Appendix 7.11). A Fisher's exact test (Fisher, 1922) was performed to explore the possibility the lack of immature specimens exhibiting the "Torosaurus" morphology in the fossil record may be due to chance. This analysis is more inclusive as it allows inclusion of damaged and mildly deformed specimens. Data from the recent study of Triceratops and "Torosaurus" by Longrich and Field (2012) were also included in this analysis, treating their Phase I & II growth stages as our juvenile or subadult and their Phase III as our 236 adult, excepting in cases where we had personally examined those specimens and ranked them by the criteria outlined in Scannella and Horner (2010). The analysis was then conducted using the ontogenetic rankings of Longrich and Field (2012) for all specimens which were included in that study. The apparent scarcity of "Torosaurus" specimens in the upper half of the formation (noted by Scannella et al., 2014) was also tested using a Fisher's exact test (Appendix 7.12; 7.13). Specimen factors and landmark data for GM analyses are listed in Appendices 7.14 through 7.28. Results Relative Growth SMA regression analyses of linear measurements reveal positive allometry for all dimensions of the skull with the exception of the height and width of the orbit, which exhibit negative allometry (Figure 7.2; Appendix 7.1). When the data are examined at the level of each stratigraphic unit within the HCF, all analyses conducted on specimens from the lower unit (L3) suggest isometric growth; however this result is likely tied to the extremely small sample sizes for this unit (n=3-4, see Appendix 7.1). Squamosal width relative to basal skull length is recovered as isometric in specimens from U3, whereas squamosal length exhibits positive allometry. These dimensions are both positively allometric in specimens from M3, as well as in the dataset when examined as a whole. Definitive specimens exhibiting the "Torosaurus" frill morphology are currently unknown from M3 and U3 (see Discussion). Triceratops from these units exhibit positive allometry in the width of the parietal (M3: n=4, U3: n=6) but isometric scaling in the length of this element (M3: n=3; U3: n=6). We note that only 237 Multivariate Analyses three specimens from M3 are represented and this result may be tied to this low sample size. Whereas the length of the rostrum exhibits positive allometry overall, when the analysis is limited to specimens from U3 (n=5) , isometric growth is indicated. In a plot of the first two principal components of the PCA of linear measurements (Figure 7.3A), specimens are largely separated along PC1 according to ontogenetic stage though there is overlap between subadults and young adults. Approximately 98% of the total variation is captured by the first three axes with 82.13% of the variation explained by the first PC (Appendix 7.4) and 12.7% explained by PC2. PC1 is strongly associated with postorbital horn length, squamosal length, and parietal width. The strongest loading along PC2 is epinasal length, which has been suggested to increase throughout the HCF (Scannella et al. 2014). As such, more mature specimens from U3, which exhibit the longest epinasals in the dataset, cluster together. Specimens exhibiting the "Torosaurus" morphology (MOR 981, MOR 1122, MOR 3081) were all recovered from relatively low in the formation (see Scannella et al. 2014) and cluster together, close in morphospace to a subadult from L3 (MOR 1120) and a young adult from the lower part of the middle formation (MOR 3010). The young adult specimen UCMP 136092 from U3 is recovered among subadults from M3 and U3, however this specimen does not preserve an epinasal. When measurements of the horns and frill are removed from the analysis (Figure 7.3B), specimens remain largely segregated according to ontogenetic stage along PC1, however "Torosaurus" specimens overlap Triceratops in morphospace. All loadings on PC1 are negative and within a relatively small range (-.1 to -.16), indicating that these 238 ataset he m. The remaining specimens are divided into two clusters, one composed of all "Torosaurus" specimens nd the other composed of young adults from U3 with subadults from the upper half of the formation (MOR 3045, MOR 2924, MOR 2574). MOR 3027 ( a subadult) and UCMP 113697 (a young adult) are recovered together. These specimens along with the smaller MOR 3045 were collected in the upper part of M3 and have been found to exhibit a combination of morphologies typically seen higher and lower in the formation. The results presented by this dendrogram are consistent with those of Scannella et al. 2014 in variables are strongly correlated. Also, juvenile specimens form two distinct groupings which are separated along PC2 which is strongly associated with rostrum and nasal length, with the smallest (and presumably youngest) individual (UCMP 154452) recovered with juveniles from M3 (MOR 2569 and MOR 3064) on the positive side of PC2 whereas juveniles from U3 (MOR 2951, MOR 1110) and a specimen for which stratigraphic position is to be determined (MOR 1199) are recovered on the negative end of PC2. We note that juveniles recovered on the positive side of PC2 do not preserve nasals or rostra and thus this result is based on the estimates produced by BPCA. A UPGMA cluster analysis of the Euclidean distance matrix of the linear d recovers clusters largely consistent with ontogenetic stage (Figure 7.3C). The base of t dendrogram branches into two primary clusters, one composed of the smallest juvenile specimens and the other composed of all other specimens. The remaining juveniles (MOR 1110 and UCMP 136306) are recovered together within a cluster of non- "Torosaurus" specimens from the lower half of the formation, with the exception of MOR 2999 which is found in this group. This may be due to missing data for this specimen as it does not preserver either an epinasal or rostru a 239 oved s from l 2 7.8) measurements of the nd Geometric Morphometric Analyses that these specimens are recovered as morphologically closer to specimens from U3 than those from the lower half of the formation. When data for the horns and frill are rem from the linear dataset (Figure 7.3D), a similar pattern is recovered with all juveniles clustered together and MOR 1120, from L3, falling outside of a group of specimen higher in the formation (but being linked to an U3 specimen that is missing an epinasa and rostrum [UCMP 136092]). MOR 004, a large young adult from U3, and MOR 112 ("Torosaurus" from L3) are recovered together to the exclusion of other specimens. MANOVA of the Euclidean distance matrix of the linear dataset (Appendix finds support for a directional trend in cranial morphology (p-value =9.999e-05) throughout ontogeny, but a significant trend throughout the stratigraphic levels of the HCF is not recovered (p-value = .106). Approximately 54% of the variance in the dataset is explained by ontogenetic stage whereas stratigraphic level explains approximately 5%. When specimens which exhibit the "Torosaurus" morphology are removed from the analysis, similar results are attained (Appendix 7.8). Removal of horns and frill still recovers a directional trend throughout ontogeny (p-value =.0006) a the p-value for stratigraphy increases from .106 to .808. The initial GM analysis of the skull in lateral view recovered groupings largely consistent with ontogeny (Figure 7.4). Approximately 90% of the variation was explained by the first 5 principal components with PC1 accounting for approximately 34% of variation and 20% being explained by PC2. High positive values along PC1 are associated with posteriorly curved postorbital horn cores, which are present in juvenile 240 ng ' (Marsh, 1898) is also ch 22 orino et al., 2013). L3 o 48617 is found outside of the MOR 1199-T. prorsus cluster. Removal of horns and frill Triceratops. Strongly anteriorly inclined postorbital horn cores exhibit low values alo PC1. All specimens from U3 of the HCF exhibit positive values along PC1, as do specimens which have previously referred to T. prorsus (YPM 1822, LACM 59049; Forster, 1996). USNM 4928, the holotype of T. 'calicornis recovered on the positive end of PC1. MOR 1120 and MOR 1122, each from L3, are recovered on the negative end of PC1, but are separated along PC2, which is strongly associated with the shape of the squamosal. MOR 3027, from the upper half of M3 is recovered on the negative end of PC1, but relatively close to the axis. Removal of landmarks of the horns and frill recovers USNM 4928 on the negative end of PC1, whi is consistent with its referral to T. horridus by Forster (1996; Figure 7.4B). MOR 3027 moves to the positive side of PC1 and plots close to specimens of T. prorsus (YPM 18 and LACM 59049). The "Torosaurus" specimen MOR 1122 clusters closely with AMNH FARB 5116 and DMNH epv. 48617, both of which have been referred to T. horridus by previous researchers (e.g. Forster, 1996; Mai UPGMA cluster analysis of the GM skull dataset recovers specimens from (MOR 1120 and MOR 1122) together with AMNH FARB 5116 (Figure 7.4C). The tw smallest juveniles (MOR 1199 and MOR 2951) cluster together, outside of a group containing the holotype of T. prorsus (YPM 1822), as well as LACM 59049, and MOR 3027 which is recovered just outside of these two T. prorsus specimens. MOR 1110, a juvenile T. prorsus, is recovered outside of the MOR 3027-T. prorsus group. This is consistent with the recovery of MOR 3027 close to or within T. prorsus in the study by Scannella et al. (2014). USNM 4928 is found at the base of this group and DMNH epv. 241 rs with a juvenile from U3 (MOR 2951) and the OR 3027-T. prorsus group remains together, but USNM 4928 falls to the very base of e dendrogram along with the small juvenile MOR 1199. A permutation MANOVA of the GM shape data reveals a significant correlation between skull shape and size (p-value =.0236) but not ontogenetic stage (p-value =.1113; Appendix 7.9). Removal of the "Torosaurus", MOR 1122 from the dataset recovers a similar result with size being a significant factor in skull shape (p-value =.0434) but a higher p-value (.253) is recovered for the relationship between shape and ontogenetic stage. When specimens for which stratigraphic position remains to be determined are removed from the analysis, a significant relationship between shape and stratigraphic position (p-value =.04167) is recovered, though we note the sample size for this analysis is very low (n=5) and that this relationship is not found to be statistically significant when stratigraphy and size are analyzed together. When permutation MANOVA is used to test the relationship of shape to ontogenetic stage and stratigraphic position (Appendix 7.9), a significant relationship between shape and ontogenetic stage is recovered (p-value = .04167), however this correlation is lost when the horns and frill are removed from the analysis (p-value =.2) and the p-value for the relationship between shape and stratigraphic position increases from .14167 to .7167. A least squares regression confirms a significant correlation between shape and size in the data set (p-value =.04) which is also recovered when the horns and frill are removed (p-value=.012). This relationship is lost, however, when the from the data (Figure 7.4D) forms a cluster of MOR 1122, AMNH FARB 5116, and DMNH epv. 48617. MOR 1120 cluste M th 242 be the resulting low sample size. analysis is limited to specimens from the HCF (see Appendix 7.11). Again, this may tied to Epinasal The first three principal components of a PCA performed on shape data for the epinasals capture approximately 95% of the total variation, with 79.44% being explaine by the first PC (Figure 7.7A). Positive PC1 values are associated with elongate epinasals whereas negative values are associated with shorter epinasals. All specimens from th upper unit of the HCF exhibit positive values for PC1 whereas all specimens from the lower unit have negative values (see Figure 7.7A). Both short and elongate epinasals are found in the middle unit, consistent with the findings of Scannella et al. (2014). Juvenile are generally clustered close to 0.0 along PC1 and we note that U3 juveniles are associated with positive values for PC1 whereas MOR 1167, a juvenile from L3, exhi a negative value for PC1. "Torosaurus" specimens are recovered among Triceratops, with the majority of specimens associated with negative values along PC1. YPM 1831 expresses a relatively more elongate epinasal, and is recovered amo d e s bits ng juvenile specimens om Ufr 3. MANOVA finds support for directionality in epinasal shape throughout the stratigraphic succession of the HCF (p=1e-04; see Appendix 7.10), which is consistent with the findings of Scannella et al. (2014). Shape of the epinasal does not exhibit a statistically significant relationship with ontogenetic stage (p-value =.1527), though a relationship with size is recovered (p=1e-04). A regression of epinasal shape on size 243 orn Cores further corroborates a relationship between size and shape (p-value=.004; Appendix 7.11). Postorbital H e s of ore ion seen in ores a of The first three principal components of a PCA performed on shape data for the postorbital horn cores capture approximately 97% of the total variation (Figure 7.7B). Positive PC1 values are associated with posteriorly curved horn cores whereas negativ values represent more anteriorly curved horn cores. Specimens with the lowest PC1 values are largely post-subadult stage specimens, though MOR 3027 and USNM 1201 exhibit fairly elongate, anteriorly arched postorbital horns relative to other individual a similar ontogenetic stage. Variation is noted in the shape of "Torosaurus" horn cores (MOR 981 and ANSP 15192), which overlap Triceratops in morphospace; the horn c of ANSP 15192 is not as anteriorly curved as that of MOR 981. The smallest known specimen of Triceratops (UCMP 154452) falls well outside the range of variat other specimens (along PC2) due to the relatively large distance between the anterior base of postorbital horn core and the dorsalmost point of the orbit. Horner and Goodwin (2006) noted that the shape of the postorbital horn c changed as Triceratops matured. This trend is clear in the plot of mean postorbital horn shape through ontogeny (Figure 7.9). MANOVA results confirm a relationship between horn core shape and both size and ontogenetic stage (see Appendix 7.10). However, statistically significant relationship between shape and stratigraphic position was not recovered, which is consistent with the findings of Scannella et al. (2014) who noted variability in horn core length in the lower and middle units of the HCF. Regressions 244 1). Squamosal postorbital horn core shape on size further indicate positive allometry (p-value: .004; Appendix 7.1 The first three principal components of a PCA performed on shape data for the squamosal capture approximately 90% of the total variation with approximately 70% explained by PC1 (Figure 7.10). Positive values of PC1 are associated with broader squamosals which possess a more convex lateral margin whereas negative values are associated with elongate squamosals with a relatively straight lateral margin. Negative PC2 values are associated with a strongly convex anterior margin of the squamosal; positive values are associated with a relatively straight anterior margin. Longrich and Field (2012) suggested that T. prorsus exhibited a more convex lateral margin of the squamosal than specimens referred to T. horridus. In the current analysis, there is no clear separation between specimens exhibiting the T. horridus and T. prorsus gies along PC1. Specimens from L3 are restricted to the negative side of PC2, s e morpholo which is consistent with the findings of Scannella et al. (2014) that specimens found lower in the HCF tend to exhibit a more pronounced anteroventral process. Non- "Torosaurus" specimens which exhibit the most elongate squamosals include individual which have been referred to T. prorsus (LACM 54909) and T. horridus (AMNH FARB 5116). Recovery of these specimens relatively close to specimens which have been referred to "Torosaurus" is consistent with the findings of Maiorino et al. (2013) despit slightly different landmark placement between analyses (see Appendix 7.1). These non- "Torosaurus" specimens with more elongate squamosals plot higher along PC2 than 245 . ith size is rs a significant relationship etween squamosal shape and ontogenetic stage when "Torosaurus" specimens are cluded (p-value =1e-04) as well as when they are removed from the analysis (p- value=.0278). Least squares regression recovers a significant relationship between squamosal shape and size when the entire dataset is analyzed (p-value =.044; Appendix 7.11), however this relationship is not found to be significant when the analysis is restricted to the reduced dataset of specimens specimens with detailed stratigraphic data. "Torosaurus" specimens. The stratigraphic positions of these specimens remains to be determined. Permutation MANOVA recovers a significant relationship between squamosal shape and both size (p-value = .0461) and stratigraphic position (.0301; Appendix 7.10) When "Torosaurus" specimens are removed from the analysis, a significant trend throughout stratigraphy is still recovered (p-value =.0473) but the relationship w no longer significant (p-value=.6607). ANOVA recove b in Parietal The first three principal components of a PCA performed on shape data for the parietal capture approximately 96% of the total variation with approximately 81% explained by PC1 (Figure 7.12). Positive values of PC1 are associated with a relatively narrow parietal whereas negative values are associated with a wider parietal. Negative values along PC2 are associated with a more convex posterior margin of the parietal in which the posteriormost parietal-squamosal contact is located anterior to the posterior margin at the midline of the parietal (Figure 7.12A). Juveniles exhibit a range of parieta shapes whereas all post-juvenile specimens from the upper half of the formation (MOR l 246 -juvenile 004, MOR 2999, MOR 3027) exhibit a positive position along PC2 whereas post specimens from the L3 (MOR 1120, MOR 1122) exhibit a negative position along PC2. MANOVA does not recover a significant relationship between parietal shape and ontogenetic stage, stratigraphic position, or size (Appendix 7.10). When MOR 1122 is removed from the analysis, the p-value for the relationship between shape and ontogeny increases from .09091 to .3502. Least squares regressions recover a significant relationship between shape and size (Appendix 7.11). Nasal The first three principal components of a PCA performed on shape data for the nasal capture approximately 93% of the total variation with approximately 62% explained by PC1 (Figure 7.12B). Positive values of PC1 are associated with a gre distance between the anterior and posteriormost contacts of the nasal with the epinasal. Negative values of PC2 are associated with a more convex lateral margin of the nasal. Post-juvenile staged specimens from the upper half of the formation exhibit positive positions along PC2, whereas specimens from the lower half of the formation exhibit negative positions along this axis, along with specimens which have previously been referred to T. horridus. MOR 1122 is separated from other specimens based on the larg distance between the anterior and posteriormost contacts of the nasal with epinasal. may be due to the epinasals overgrowth of the nasals, forming a low rugose boss (see Farke, 2007). The other "Torosaurus" specimen included in this analysis (ANSP 15192) is recovered among specimens which have been referred to T. horridus (AMNH 5116, DMNH epv48617, YPM 1820) and MOR 3005, a fragmentary specimen from M3 whic ater e This h 247 -value and nship Nasal Process of the Premaxilla (NPP) exhibits relatively thin sections of frill and thus may represent the "Torosaurus" morphology (Scannella et al. 2014). ANOVA recovers a significant trend in nasal shape throughout ontogeny (p-value=.0013) but not throughout the strata of the HCF (p =.2519). A permutation MANOVA used to test the relationship between nasal shape 1. size and 2. stratigraphic position does not recover support of a significant relatio with either of these variables. Least squares regression also does not indicate a relationship between size and shape of the nasal (Appendix 7.11). The first three principal components of a PCA performed on shape data for the nasal capture approximately 96% of the total variation with approximately 53% explained by PC1 (Figure 7.12C). Positive values of PC1 are associated with the f the dorsal margin of NPP being oriented strongly posterior to the ase of C2 e st in ich ugh plot (Figure 7.10) and we note that all specimens below this diagonal exhibit a relatively wide NPP whereas those above it exhibit a narrower NPP. MOR 3027, from posteriormost point o b the articulation with the anterolateral process of the nasal. Positive values of P are associated with a shorter distance between the anterior and posteriormost points of th dorsal margin of the NPP. MOR 1122-7-22-00-1, a premaxilla from the basal sandstone of the HCF, is separated from other HCF specimens. This specimen currently represents the stratigraphically lowest occurring NPP recovered during the HCP. It is close morphospace to RTMP 2002.57.7, the holotype of Eotriceratops from the slightly stratigraphically lower Horseshoe Canyon Formation of Alberta (Wu et al. 2007), wh is consistent with its low stratigraphic position. Specimens are arrayed diagonally thro the PCA 248 upper M3, is the highest stratigraphic occurrence thus far of a narrow NPP. The sample size is relatively low for this analysis as NPPs are often incomplete, however we note that ven incomplete specimens which were not included in this analysis (e.g. MOR 2936,MOR 8663) exhibit morphologies consistent with the trend of more elongate, narrow NPPs recovered lower in stratigraphic succession and shorter, wide NPPs recovered higher in section. ANOVA recovers a significant relationship between NPP shape and stratigraphic position (p-value = .0037). Permutation MANOVA to test the relationship between shape and centroid size and stratigraphic position, recovers a significant relationship with size (p-value =.0203) but not stratigraphic position (Appendix 7.10). Least squares regression confirms a significant relationship between shape and size (Appendix 7.11). e Fisher's Exact Tests Results of the Fisher' s exact test to examine whether the apparent absence of matu g that im re "Torosaurus" was due to chance recovered a p-value of .022, suggestin the absence of juveniles and subadults is unusual (Appendix 7.12). When the criteria for assessment of ontogenetic stages is changed to that of Longrich and Field (2012; in which YPM 1831 is a subadult "Torosaurus") a p-value of .071 hints at a difference in biological reality between these groups of specimens. The Fisher's exact test performed to examine the scarcity of "Torosaurus" in the upper half of the formation recovers a p- value of .0128, suggesting that this pattern in the fossil record is likely not a result of chance. 249 Discussion Stratigraphic Trends The results of these analyses are largely consistent with the trends in cranial morphology through the succession of HCF strata that were noted by Scannella et al. (2014). Significant stratigraphic trends are indicated in the skull (when considered as a whole in both the linear dataset and stratigraphic dataset), epinasal, squamosal, and NPP (Appendix 7.10). Higher p-values are recovered for the relationship between nasal morphology and stratigraphic level, though we note that specimens found lower in the formation do appear to exhibit a more arched lateral margin of the nasal, as suggested by Scannella et al. (2014; Figure 7.13). than specimens found higher in section, though a clear stratigraphic trend is not detected. Postorbital horns exhibit variable lengths in the lower and middle units of the HCF and appear to be consistently short in post-juvenile stage individuals from U3. Scannella et al. (2014) noted that specimens exhibiting the "Torosaurus" morphology were recovered from the lower half of the formation. MPM VP6841 appears to be from the upper half of the formation based on study of topographic maps (Scannella et al. 2014), but this has yet to be confirmed. If this stratigraphic placement is correct, it would appear to represent the latest occurrence of a specimen referred to "Torosaurus" in the HCF of Montana thus far. MOR 1122, MOR 2984 (a specimen too incomplete for inclusion in these morphometric analyses), and MOR 3081 are all recovered from L3, MOR 1122 being collected from the very bottom of L3 (Horner et al., 2011; Scannella and Fowler, 2014; Scannella et al., 2014). The precise stratigraphic placement of MOR 250 ve e formation is likely not a result of chance (p-value =.0128). All of the ecim , t 981 (Farke, 2007) is yet to be determined, but it was recovered from a mudstone abo the base of the formation (Scannella et al., 2014). MOR 3005, a fragmentary specimen which preserves thin sections of frill was found in the lower part of M3. Given the extensive nature of the HCP census of the formation's paleofauna, the apparent absenc (or at least extreme rarity) of specimens exhibiting the "Torosaurus" morphology from the upper half of the formation is striking. A Fisher's exact test of the stratigraphic occurrence of "Torosaurus" specimens indicates that the absence of confirmed specimens from high in the sp ens with confirmed stratigraphic positions exhibit morphologies consistent with stratigraphic trends noted in Triceratops, including a short nasal horn and narrow posteriorly inclined NPP. The largest anteroventral projections of the squamosal are found in specimens (MOR 1120, MOR 1122) from the lower unit of the formation as well. Even when "Torosaurus" specimens are removed from analyses, significant stratigraphic trends are still indicated for the epinasal and squamosal (NPP results did no change as no specimens were removed from the analysis; Appendix 7.10). Interestingly, we note that when measurements/landmarks pertaining to the horns and parietal- squamosal frill of the skull are removed from the skull analyses, R2, the proportion of variation explained by the independent variable, drops from .077 to .015 in the linear dataset, and from .231 to .130 in the GM dataset. This coincides to a dramatic increase in p-value for the relationship with stratigraphic level (from .056 to .5 in the permutation MANOVA of the linear dataset, and from .142 to .717 for the GM dataset ). This shows that the horns and frill are the primary features which change through stratigraphy, and is 251 tion (see, s atasets is is onsistent with a taxonomic signal being present in the skull (as noted by Forster, 1996). ediate between T. horridus and T. prorsus ARB overed ) ); these consistent with the findings of Horner et al. (1992) in that features which have been suggested to primarily be ornamental change through successive strata. These features were initially suggested to be objects of sexual display, but more recent work has focused discussion on the definition of sexual dimorphism in relation to whether these cranial structures are subjects of sexual display or function primarily in species recogni for example, Knell and Sampson, 2011; Padian and Horner, 2011a, 2011b; see Farke et al., 2009 and Farke, 2014 for alternative interpretations of the function of horns and frill in ceratopsids). Similar results of the PCA and cluster analyses are recovered for the skull d (linear and GM) with and without horns and the parietal-squamosal frill. Th c MOR 3027, a specimen suggested to be interm (Scannella et al., 2014), is recovered amongst T. horridus specimens (AMNH F 5116, MOR 1120) in the initial analysis of the linear dataset and then amongst T. prorsus when these cranial elements are removed from the analysis (Figure 7.3). It is rec amongst T. prorsus in both versions of the GM cluster analysis (Figure 7.4), consistent with its being grouped with specimens from U3 in cladistic analyses of specimens (Scannella et al., 2014). Other specimens from upper M3 (MOR 3045, UCMP 113697 could not be included in the GM analysis of skulls in lateral view as they are currently either disarticulated (MOR 3045) or do not exhibit all landmarks (UCMP 113697 specimens are recovered among T. prorsus in the cluster analyses of linear skull data (Figure 7.3C,D). 252 from U3 -like of the three ecim the Ontogenetic Trends and the These specimens exhibit several features typically not seen in specimens (T. prorsus). MOR 3027, which is stratigraphically the lowest of the three, has a narrow NPP (the highest stratigraphic occurrence, thus far, of this feature). Both MOR 3027 and UCMP 113697 exhibit postorbital horn cores that are more elongate than any thus far recovered in U3. MOR 3045 appears to be the most T.prorsus sp ens, but even this individual exhibits subtle differences from U3 specimens in nasal and premaxilla (see Scannella et al. 2014). The identification of details of cranial morphology which appear to vary stratigraphically in Triceratops invite a reassessment of these features in the holotype specimens of Triceratops before these seemingly intermediate, or transitional, specimens are assigned taxonomic identities. Synonymy of Triceratops and "Torosaurus" The width of the parietal, an element of particular interest in studies of Triceratops ontogeny (Scannella and Horner, 2010; Horner and Lamm, 2011), rela length tends to increase throughout growth. The parietal of the smallest known Triceratops (UCMP 154452) exhibits a length to width (L/W) ratio of .92 whereas MOR 3027 exhibits a L/W ratio of .74 and MOR 004, a large young adult, the L/W ratio is approximately .7. In MOR 1122, a specimen with a fenestrated parietal, the length to width ratio is .63. This tendency for more mature individuals to exhibit a wider parietal highlighted in the GM PCA plot of parietal shape (Figure 7.12A). However, no significant relationship is recovered between parietal shape and either centroid size or ontogenetic stage (Appendix 7.10). The parietal exhibits positive allometry in both leng and width when the entire HCF dataset is analyzed (Appendix 7.1), but when specimens tive to is th 253 ed e note, however, the assessment of maturity in that study was based largely gh er elements, ong T. horridus specimens (Figure from M3 and U3 (which do not include specimens exhibiting the "Torosaurus" morphology) are considered separately, isometric growth is suggested. This is consistent with either a lengthening in the parietal late in ontogeny (as hypothesized by Scannella and Horner, 2010) or different patterns of growth suggestive of distinct taxa (as suggest by Longrich and Field, 2012; Maiorino et al. 2013). Longrich and Field (2012) found evidence for ontogenetic overlap between Triceratops and "Torosaurus" based on a cladistic study of cranial features in individual specimens. W on the degree of apparent cranial fusion observed in specimens. The timing of cranial fusion appears to vary in the HCP dataset (Scannella and Horner, 2011) and the degree to which it can be used to assess maturity in non-avian dinosaurs is the subject of research currently in progress (Bailleul et al., 2013). Maiorino et al (2013) found separation between specimens referred to Triceratops and "Torosaurus" in morphospace throu examination of the entire skull in lateral view (with and without the frill), and the squamosal. In both the linear and GM analyses of skull shape in lateral view in the current analysis, "Torosaurus" specimens are initially recovered just outside of the oth specimens, but overlaps them in morphospace once horns and frill are removed from the analysis. Currently, it appears that at least in so far as overall shape of cranial morphologic separation between "Torosaurus" and Triceratops is primarily tied to the morphology of the parietal and squamosal (as noted by Farke, 2007) with other elements overlapping Triceratops in morphospace. The nasal analysis separates MOR 1122 from other specimens, but as noted above this may be tied to the enlarged nasal boss of this specimen. The nasal of ANSP 15192 is recovered am 254 rred to sids (Sampson, 1995; Currie et al., 2008). Farke (2011) and n of th the trend M 7.12B). The full NPP morphology of "Torosaurus" specimens is currently unknown: no unfused NPP is currently know from a specimen collected from the HCF which exhibits a fenestrated parietal. MOR 1122-7-22-00-1 was found in association with a "Torosaurus" specimen (MOR 1122), but cannot be directly compared to that individual because the full NPP morphology of MOR 1122 is unknown due to fusion with the nasals and epinasal. ANSP 15192 exhibits an elongate NPP which is fused to the nasals, but appears to be consistent with the morphology observed in specimens which have been refe T. horridus. Whereas most "Torosaurus" specimens exhibit a relatively short epinasal, the epinasal of YPM 1831 approaches that of Triceratops from U3 (T. prorsus) and overlaps juveniles from this stratigraphic zone (Figure 7.7A). Scannella et al. (2014) suggested that development of a nasal boss may be ontogenetic, occurring in the most mature individuals. The development of a nasal boss throughout ontogeny occurs in some centrosaurine ceratop Longrich and Field (2012) suggested that YPM 1831 represents a subadult specime "Torosaurus", and its more elongate epinasal horn could be consistent with a younger ontogenetic status. However, we note that non-boss like nasal horns are observed in other specimens exhibiting the "Torosaurus" morphology, which exhibit flattened epiossifications and other indicators of maturity (e.g. MOR 3081).Therefore, this could reflect individual variation, or YPM 1831 may have been recovered relatively higher in the stratigraphic section than other specimens, which would be consistent wi in epinasal shape noted in Triceratops from the HCF. The stratigraphic position of YP 1831 relative to the HCF remains to be determined. 255 luded is obscured by of the ior ee of ella in more mature individuals. Though this trend is largely consistent, this analysis idudals. en MOR 981, a large specimen referred to "Torosaurus" (Farke, 2007), was exc from the GM analysis of epinasals as the anterior margin of the nasal horn a rugose ossification that extends from the base of the epinasal down the dorsal margin of the premaxilla towards the rostral, a distance of over 20 cm (Figure 7.14). As such, it is unclear where the epinasal ends, and even whether or not the entirety of this structure is composed of the epinasal or if other elements (rostral, nasal) are involved. As one largest specimens in the dataset (basal skull length =129.5 cm) with very mature postorbital horn core osteohistology (Scannella and Horner, 2008) this rugosity anter to the nasal boss may be indicative of the most mature individuals (or the most mature individuals from low in the stratigraphic succession). We note that this mature individual exhibits unfused episquamosals and a clear sutural division between the posterior prong of the premaxilla and the maxilla (Figure 7.14). This further suggests that the degr cranial fusion may not be indicative of maturity in chasmosaurine ceratopsids (Scann and Horner, 2011). As noted by Horner and Goodwin (2006), postorbital horn cores exhibit an ontogenetic trend of progressing from posteriorly curved in juveniles to more anteriorly inclined highlights variation in the shapes of the horn cores of post-juvenile stage indiv Some subadult individuals (MOR 3027, USNM 1201) exhibit more anteriorly arched postorbital horn cores than more mature individuals (e.g LACM 59049). ANSP 15192, which is currently the smallest known specimen which has been referred to "Torosaurus", overlaps subadult specimens in horn core morphology in that the horn cores are not strongly arched forward (Figure 7.7B). Despite its small size, this specim 256 y "Torosaurus" (Scannella and Horner, 2010) 12; ighter us" s h and he exhibits indicators of being an adult and further highlights size variation in mature specimens (see Scannella and Horner, 2010; Longrich and Field, 2012). The squamosal has been hypothesized to elongate throughout growth, ultimatel producing the narrow morphology found in or, alternatively, to be a feature which distinguishes these taxa (Longrich and Field, 20 Maiorino et al., 2013). Further, the relative convexity of the lateral margin of the squamosal has been suggested to distinguish T. horridus from T. prorsus (Longrich and Field, 2012). We note that in the PCA of squamosal shape data (Figure 7.10), some juveniles, including the smallest known Triceratops (UCMP 154452), have a stra lateral margin of the squamosal than more mature individuals whereas all "Torosaur specimens express a relatively straight lateral margin. Some larger Triceratops specimen approach "Torosaurus" specimens in terms of the shape of the squamosal. In this analysis, AMNH FARB 5116 and DMNH epv.48617 exhibit squamosals which are closest to "Torosaurus" specimens along PC1. LACM 59049, a T. prorsus specimen (Forster, 1996), approaches the "Torosaurus" cluster along PC1, suggesting that this species is not restricted to a more convex squamosal as hypothesized by Longric Field. We note that "Torosaurus" specimen YPM 1831 is further from other "Torosaurus" specimens along PC1 than the other "Torosaurus" specimens are from several non-fenestrated Triceratops specimens. Further, we note that the only specimen of "Nedoceratops" (USNM 2412) exhibits a squamosal morphology that is slightly straighter lateral margin than the majority of young adult Triceratops, but not to t extent revealed in "Torosaurus" specimens and some large unfenestrated Triceratops 257 arke, hologic f be more (e.g. f the (e.g. AMNH FARB 5116, LACM 59049). As has been noted previously (e.g. F 2011; Longrich and Field, 2012), the squamosals of USNM 2412 appear to be pat and, as such, the degree to which this may affect the morphology of the anteroventral process of the squamosal is undetermined. This analysis finds that squamosals of "Torosaurus" specimens are separated along PC2 from most large specimens which approach them along PC1 (e.g. AMNH FARB 5116; DMNH epv. 48617), which is largely driven by the shape of the anterior margin of the squamosal. Sullivan et al. (2005) suggested that the restricted otic notch produced by the anterior projection of the squamosal was a diagnostic feature o "Torosaurus"; however a pronounced anteroventral projection is seen in other taxa, including Arrhinoceratops (see Mallon et al., 2014; Scannella et al., 2014). Scannella et al. (2014) reported that the anteroventral projection of the squamosal tended to pronounced in specimens from lower in the formation (e.g. MOR 1120) becoming reduced in specimens recovered higher in section (e.g. MOR 2702; Figure 7.11). This feature was also found to vary between the right and left side of some individuals MOR 2999). It is interesting that the T. horridus specimens which approach the "Torosaurus" cluster along PC1 (AMNH FARB 5116, DMNH epv58617) exhibit a relatively reduced anteroventral projection of the squamosal relative to "Torosaurus" specimens, but not as reduced as some specimens recovered from the upper unit o HCF (see Figure 7.15). The stratigraphic provenance of these two specimens relative to "Torosaurus" specimens are unknown. The pronounced anteroventral projection may be a feature which develops late in ontogeny (this feature appears to vary in size in Arrhinoceratops [see Mallon et al., 2014]), or it may be more pronounced (or develop 258 uld be ith the current data, given the absence of immature similar his us, r to be icially appears to be earlier in ontogeny) in specimens found lower in the stratigraphic succession. Alternatively, if "Torosaurus" is a distinct taxon, the combination of an elongate squamosal with a straight lateral margin and pronounced anteroventral process co exhibited in "Torosaurus", and approached but not realized in Triceratops. As noted above, the relative abundance of "Torosaurus" specimens from low in the HCF does not appear to be a result of chance. Similarly, the results of the Fisher's exact test to examine the apparent absence of immature "Torosaurus" (Appendix 7.12) suggests that the hypothesis that "Torosaurus" represents the mature growth stage of Triceratops is consistent w individuals. The scarcity of "Torosaurus" in the upper half of the formation combined with the morphometric evidence for these specimens being morphologically most to T. horridus, suggests the possibility of Triceratops becoming increasingly paedomorphic (or paedotypic, following Reilly et al., 1997; see Maiorino et al. 2013) over the course of the HCF's deposition. Scannella et al. (2014) noted differences in the morphology of the regions of the parietal which are hypothesized to fenestrate in Triceratops in specimens recovered from different stratigraphic levels of the HCF. In t scenario, an expanded and fenestrated frill is expressed late in ontogeny in T. horrid but becomes increasingly rare over the course of the end-Cretaceous. The current data are consistent with this scenario. Alternatively, Triceratops may have diverged from "Torosaurus" low in or before the start of the HCF, and thus more basal specimens (T. horridus) are closer morphologically to "Torosaurus", which is a rare taxon in the HCF. Both of these scenarios would explain why some specimens of T. horridus appea more "Torosaurus"-like in morphology whereas T. prorsus superf 259 very different in morphology (see Lon d, 2012 their Figure 1). The relative rity of "Torosaurus" adults, and their being primarily confined to the lower strata of the HCF, could also be explained by many other possibilities, such as "Torosaurus" inhabiting a different environment with only occasional visits to the region captured in the HCF, and only then by adults. As noted by Scannella and Horner (2010), immature "Torosaurus" could be mistaken for Triceratops if the parietal remained unfenestrated until relatively late in ontogeny. Other circumstances could explain these results, and a broad array of hypotheses should be on the table at this point to explain the statistical peculiarities we observe. Ostrom and Wellnhofer (1990) suggested that "Torosaurus" may represent the male sex of Triceratops. This is certainly possible, and would be consistent with dimorphism in prominent cranial structures identifying sexes (see Darwin, 1871; Padian and Horner, 2011b; but see also Knell et al., 2013). An examination of cranial variation in the sexually dimorphic hornbills of the Cameroon Province of Africa (Scannella et al., In prep) which, like ceratopsid dinosaurs exhibit pronounced cranial structures, found that removal of cranial ornamentation caused previously segregated sexes and taxa to overlap in morphospace. We note that removal of the horns and frill in the present analysis produced overlap between Triceratops and "Torosaurus" (Figures 7.2 and 7.3), but given the findings of Scannella et al. (In prep) these results, while consistent with those for a sexually dimorphic archosaur are also consistent with these structures being primarily used for species recognition between taxa (see Padian and Horner, 2011a). The possibility of dimorphism should be investigated further, and may very well be ontributing to the complexity of the system examined here. grich and Fiel ra c 260 Conclusions Further statistical support is found for proposed stratigraphic trends in Triceratop cranial morphology related to the epinasal, squamosal, and NPP (Scannella et al The postorbital horns, nasal, and squamosal exhibit trends in morphology through ontogeny though variation in shape is noted in each of these elements. The scarcity of specimens exhibiting the "Torosaurus" morphology in the upper half of the HCF, as well as the apparent absence of juveniles are statistically significant suggesting that these findings are not a result of chance. "Torosaurus" specimens are closer in morphosp specimens referred to T. horridus, and overlap these specimens when the horns and parietal-squamosal frill are removed from analyses. Differences in morphospace occupied by the squamosals of Triceratops and "Torosaurus" (consistent with the findings of Maiorino et al., 2013) are highlighted, though the full "Torosaurus" morphology is approached by some specimens of Triceratops. The results of these analyses are consistent with the hypotheses that: 1) "Torosaurus" represents the mature form of T. horridus and the expression of Torosaurus features (e.g. expanded frill, fenestra parietal) became increasingly rare over the course of the HCF, perhaps indicating paedotypy in Triceratops; or 2) Triceratops and "Torosaurus" diverged early in or before the deposition of the HCF and more basal Triceratops (T. horridus) share more features with "Torosaurus", but as Triceratops evolved it diverged further away from t "Torosaurus" morphology, ultimately giving rise to T. prorsus in the upper part of the HCF. s ., 2014). ace to ted he 261 Acknowledgments We are grateful to members of the Hell Creek Project field crews, especially D. Fowler, M. Goodwin, and R. Harmon, and all of the field volunteers who have participated in this study of the end-Cretaceous in Montana. Thank you to the preparators in the MOR paleo lab, especially C. Ancell, S. Brewer, R. Harmon, P. Hookey, J. Jette, K. Scannella, B. Phillips, and L. Roberts. For access to collections and specimens in their care we are thankful to N. Gilmore (ANSP), M. Norell and C. Mehling (AMNH), B. Britts and R. Scheetz (BYU), P. Makovicky and W. Simpson (FMNH), J. Sertich (DMNH), L. Chiappe and A. Farrell (LACM), P. Sheehan (MPM), B. Strilisky and G. ilson (UCB), M. Carrano and ful J. Fearon, E. Ferrer, E. Fowler, M. Goodwin, N. Campione, and R. Schott. Thanks also to A. Bailleul, R. Boik, P. Dodson, A. Farke, D. Fowler, M. Goodwin, M. Holland, N. Longrich, L. Maiorino, D. Roberts, S. Sampson, K. Scannella, I. Trevethan, D. Varricchio, and D.C. Woodruff for conversations over the course of this study, without implying their agreement with our conclusions. Funding for this study was provided in part by grants from the Theodore Roosevelt Memorial Fund of the AMNH, the Doris O. and Samuel P. Welles Fund of the UCMP, the Jurassic Foundation, and the Evolving Earth Foundation to JBS. Additional funding provided by the Museum of the Rockies Inc.   Housego (RTMP), B. Erickson (SMM), T. Culver and L. W M. Brett-Surman (USNM), W. Joyce and D. Brinkman (YPM). JBS thanks L. Wilson for providing a room in Boulder. For discussions regarding morphometrics, we are grate to 262 Figure 7.1. Select measurements and landmarks. A) Skull in lateral view showing select linear measurements. B) Landmarks (blue) and semilandmarks (green) used in GM analyses. Measurement and landmark descriptions presented in Appendix 7.2. 263 Figure 7.2. Standard major axis (SMA) regression results. Bivariate plots of select cranial measurements against basal skull length. A) Epinasal length. B) Postorbital horn core quamosal length. D) Parietal width. Circle=L3; Square=M3; Triangle =U3; iamond =to be determined; Inverted triangle =RTMP 2002.57.7. Light blue = baby, blue=juvenile, green=subadult, orange=young adult (Triceratops), red=adult Torosaurus). Full SMA results presented in Appendix 7.1. length. C) S D (= 264 Figure 7.3. Results of PCA and cluster analyses of linear dataset. A) PCA of linear measurements. B) PCA of linear dataset when measurements of horns and frill are removed. C) UPGMA cluster analysis of linear dataset. D) UPGMA cluster analysis of linear dataset when horns and frill are removed. Color/shape codes are the same as for igure 7.2. F 265 F P igure 7.4. Results of PCA and cluster analyses of GM data for skulls in lateral view . A) CA of GM shape data for skulls in lateral view. B) PCA of GM shape data for skulls in lateral view when horns and frill are removed. C) UPGMA cluster analysis of GM ataset. D) UPGMA cluster analysis of GM dataset for skulls in lateral view when horns and frill are removed. Color/shape codes are the same as for Figure 7.2. d 266 Figure 7.5. Mean GM shape data for the skull in lateral view. Mean shape for each ontogenetic stage (2=juvenile; 3=subadult; 4=young adult; 5="Torosaurus") and stratigraphic level of the HCF. 267 Figure 7.6. Landmarks for GM analyses of individual bones. A) Landmarks for the epinasal. B) Landmarks for the postorbital horn core. C) Landmarks for the squamosal. D) Landmarks for the parietal. E) Landmarks for the nasal. F) Landmarks for the nasal process of the premaxilla (NPP). 268 Figure 7.7. PCA of GM shape data for epinasal and postorbital horn cores. A) PCA of pinasals. B) PCA of postorbital horn cores. Colors/shapes are the same as for Figure 7.2; grey = ontogenetic stage to be determined. e 269 Figure 7.8. Mean GM shape data for epinasals. Mean shape for each ontogenetic stage (2=juvenile; 3=subadult; 4=young adult; 5="Torosaurus") and mean shape for each tigraphic level of the HCF. stra 270 Figure 7.9. Mean GM shape data for postorbital horn cores. Mean shape for each ontogenetic stage (2=juvenile; 3=subadult; 4=young adult; 5="Torosaurus") and mean shape for each stratigraphic level of the HCF. 271 Figure 7.10. PCA of GM F shape data for squamosals. Colors/shapes are the same as for igure 7.2; grey = ontogenetic stage to be determined. 272 Figure 7.11. Mean GM shape data for squamosals. Mean shape for each ontogenetic stage (2=juvenile; 3=subadult; 4=young adult; 5="Torosaurus") and mean shape for each stratigraphic level of the HCF. 273 F p igure 7.12. PCA of GM shape data for the parietal, nasal, and nasal process of the remaxilla (NPP). A) PCA of the parietal. B) PCA of nasals. C) PCA of NPPs. Colors/shapes are the same as for Figure 7.2; grey = ontogenetic stage to be determined. 274 Figure 7.13. Mean GM shape data for nasals. Mean shape for each ontogenetic stage (2=juvenile; 3=subadult; 4=young adult; 5="Torosaurus") and mean shape for each stratigraphic level of the HCF. 275 Figure 7.14. The epinasal morphology of MOR 981. A) Rostrum of MOR 981 in lateral iew. B) Line drawing of rostrum highlighting the morphology of the epinasal, which ppears to extend anteriorly towards the rostral. Scale bar, 10 cm. v a 276 7.15. Morphology of the anteroventral process of the squamosal. A) MOR 1122 3 of the HCF. Arrow indicates strongly concave anterior margin of the squamosal. H FARB 5116 from the Lance Formation of Wyoming; stratigraphic position Figure from L ) AMN projection (e.g. mosal B relative to the HCF to be determined. The specimen exhibits an anteroventral f the squamosal which is not as pronounced as specimens referred to "Torosaurus" o MOR 1122). C) MOR 2999 form U3 of the HCF. The anterior margin of this squa is nearly straight. Scale bars, 10 cm. 277 Literature Cited e collection logy 81A. a Second Skeleton Showing Skin Impressions. order of the Trustees, American Museum of Natural History, pp. Brown, D. B., and D. E. M. Schlaikjer. 1940. 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Pachycephalosauria): A Quantitative Model of Pachycephalosaur Dome Growth bioconductor package providing PCA methods for incomplete data. dinosaur Torosaurus utahensis (Gilmore, 1946) and a revision of the genus. the Frenchman Formation (late Maastrichtian) of Saskatchewan. Canadian Journal dinosaur (Ornithischia) from the uppermost Horseshoe Canyon Formation (upper 1265. 282 CONCLUSIONS s actually intraspecific, and reduced 16 species to one: ps ee tops, t (Horner et al., 2011). While largely consistent with the findings of Forster (1996), this work explored the roles of ontogeny and change CHAPTER EIGHT Studies of dinosaur paleobiology are dependent on an understanding of the factors which contribute to morphological variation in these animals. In 1990, Ostrom and Wellnhofer referred to the chasmosaurine ceratopsid Triceratops as "an example of flawed systematics" as 16 species of Triceratops had been named at that point, based primarily on variations in cranial morphology between specimens. They suggested that most, if not all, of this variation wa Triceratops horridus. A few years later, Forster (1996) found cladistic and quantitative evidence for two species: T. horridus and T. prorsus. However, the morphology of juvenile Triceratops was largely unknown until 2006 when Goodwin et al. (2006) described the first "baby" Triceratops skull and Horner and Goodwin (2006) described the first ontogenetic series for Triceratops. These studies revealed that Tricerato underwent a dramatic, previously unrecognized transformation throughout growth. In addition to unrecognized ontogenetic changes, stratigraphic resolution for the Triceratops holotypes was largely limited (Ostrom and Wellnhofer, 1986) thus obscuring the degr to which variation between specimens might be tied to differing stratigraphic positions. This dissertation examined ontogenetic and stratigraphic variation in Tricera the most commonly recovered dinosaur in the upper Cretaceous Hell Creek Formation (HCF) of Montana, based largely on specimens collected over the course of the multi- institutional Hell Creek Projec 283 l frill tus. to sity just r ue us ). Continued e saur throughout the stratigraphic succession of the HCF in interpretations of variation. Building on the work of Horner and Goodwin, it was found that the ontogenetic transformation of Triceratops continued late in growth, with the parietal-squamosa ultimately adopting the morphology previously considered to diagnose Torosaurus la Further, the holotype and only specimen of Nedoceratops hatcheri was hypothesized represent a transitional morphology between unfenestrated and fenestrated specimens (however, see Farke, 2011; Longrich and Field, 2012, and Maiorino et al., 2013 for alternative views). These proposed synonymies suggest reduced ceratopsid diver prior to the K-Pg extinction event. The deciphering of potential evolutionary modes in dinosaurs is often difficult o impossible due to low sample sizes and reduced stratigraphic resolution. Given this, relationships between closely related taxa are often hypothesized to be cladogenetic (d to an evolutionary branching event) in nature. By examining Triceratops specimens in stratigraphic context it was found that the two currently recognized species are stratigraphically separated in the HCF, with only T. prorsus being present in the upper unit of the formation. The data suggest that T. horridus may have evolved into T. prors over time through anagenesis (the transformation of a lineage over time analyses and studies will be able to further test this hypothesis, but the ability to explor this subject in detail is due in large part to the rich fossil record for Triceratops and stratigraphic resolution for the HCF. Triceratops suggests that in order to decipher details of evolution, variation through stratigraphy will be critical to explore in other dino taxa as sample sizes increase. 284 functions rimarily as a visual cue to other individuals. Also, the ability to distinguish sexes is greatly reduced once cranial ornaments are removed from analyses. In Triceratops, cranial ornaments (horns and frill) are the elements which undergo the most dramatic changes throughout growth. This is suggestive of these elements being used as visual signals (Horner and Goodwin, 2006), and - as in C. atrata - resolution between specimens (representing different species and growth stages) is reduced when cranial ornaments are removed from the analysis. Further, morphometric analysis suggest that Triceratops may have retained immature mo hologies (such as a short, unfenestrated parietal-squamosal frill) later in ontogeny as it evolved. Alternatively, morphometric results are also consistent with Triceratops and Torosaurus being distinct taxa and the exhibiting of Torosaurus-like morphologies in T. horridus being due to T. horridus being recovered stratigraphically lower, perhaps closer in time to the divergence between these two taxa. Further testing of these hypotheses will only increase our resolution of how variation between specimens contributes to chasmosaurine taxonomy. Triceratops is an ideal subject for studies of morphological variation due to its being extremely commonly recovered in the ppermost Cretaceous deposits of western North America, being represented by several growth stages, and being found throughout the stratigraphic succession of a formation for which the stratigraphy is now well understood. After over 120 years of study, we are still gleaning new insights into dinosaur paleobiology from this animal. As sample sizes and stratigraphic resolution for Whereas extant horned mammals are often used as an analogue for Triceratops (e.g. Ostrom and Wellnhofer, 1986); examination of cranial variation in an extant archosaur (Ceratogymna atrata) finds that cranial ornamentation likely p rp u 285 other non-avian dinosaur taxa increa eratops suggest that quantitative cal to decip d processes in the fossil record. se, studies of Tric analyses of variation throughout ontogeny and stratrigraphic successions will be criti hering evolutionary patterns an 286 Literatu Citedre Farke, A. A. 2011. Anatomy and taxonomic status of the chasmosaurine ceratopsid Nedoceratops hatcheri from the Upper Cretaceous Lance Formation of Wyoming, U.S.A. PLoS ONE 6:e16196. Forster, C. A. 1996. Species resolution in Triceratops: cladistic and morphometric approaches. Journal of Vertebrate Paleontology 16:259–270.   Goodwin, M. B., W. A. Clemens, J. R. Horner, and K. Padian. 2006. 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Supporting information for: Evolutionary trends in Triceratops from the Hell Creek Formation, Montana 5) Stratigraphic placement of upper M3 specimens 7) Details of cladistic analysis 1) Variation in parietal-squamosal frill 2) Morphology of the rostrum 3) Other triceratopsin taxa 4) Triceratops biogeography 6) Calculation of basal skull length 8) Details of stratocladistic analysis 9) Character list and data matrix 10) References Institutional Abbreviations AMNH, American Museum of Natural History, New York, USA; BYU, B Young University Museum of Paleontology, Provo, USA; MOR, Museum of the Rockies, Bozeman, USA; MPM, Milwaukee Public Museum, Milwaukee, USA; MWC, Museum of Western Colorado, Grand Junction, USA; OMNH, Oklahoma Museum of Natural History, Norman, USA; ROM, Royal Ontario Museum, Toronto, CA; RTMP, Royal Tyrrell Museum, Drumheller, Alberta, CA; SMP, State Museum of Pennsylvani Harrisburg, USA; UCMP, University of California Museum of Paleontology, Berkeley USA; USNM, National Museum of Natural History, Washington D.C., USA; YPM, Yal Peabody Museum, New Haven, USA. righam a, , e Variation in Parietal-Squamosal Frill. Scannella and Horner (2011) suggested that the number of epiossifications present in Triceratops may vary stratigraphically. Often, epiossifications are unpreserved or are 314 is. , MOR 1120; MOR 2985). This nding may suggest that the fenestrae developed later, ontogenetically, in Triceratops und stratigraphically higher. Alternatively, if Triceratops and Torosaurus represent distinct but closely related taxa, Triceratops found stratigraphically lower may express more basal parietal features including eventual fenestration of the parietal. The stratigraphically documented cranial morphological trends expressed in Triceratops are thus far consistent with the morphology of specimens referred to Torosaurus latus (however we note that the majority of specimens exhibiting the Torosaurus morphology were recovered from the lower half of the formation). Precise detached from the parietal-squamosal frill; which complicates testing of this hypothes Data currently available highlights variation in epiossification number and position; as the number and configuration can vary between the squamosals of a single individual [e.g. Museum of the Rockies (MOR) 1120]. Additionally, there may be an ontogenetic component to epiossification number and position in chasmosaurines (see, for example Scannella and Horner, 2010; 2011; Mallon et al., 2011). Hell Creek Formation (HCF) specimens with the highest numbers of epiparietals (MOR 1122; MOR 3081) and episquamosals (MOR 1120; MOR 1122; MOR 3081) are found lower in the formation. The development of fenestrae also varies within Triceratops (Scannella and Horner, 2010; 2011; but see Farke, 2011; Longrich and Field, 2012; Maiorino et al., 2013). A pronounced transition in thickness on the ventral surface of the parietal surrounding this area (Scannella and Horner, 2010) is noted in Triceratops from the upper unit of the HCF (U3) and at least one specimen from the upper part of the middle unit (M3)(MOR 3045), but lower in the formation there appears to be a more gradual transition in the thickness of the parietal (e.g. MOR 335; fi fo 315 rom m r half of the formation), exhibits an incomplete yet relatively narrow epinasal may vary en is unc Morphology of the Rostrum. locality data for MOR 981 is not available but it was collected in a mudstone located above the basal sandstone. Perhaps the stratigraphically highest known Torosaurus f the HCF of Montana, Milwaukee Public Museum (MPM) specimen VP6841 (which, based on study of topographic and geologic maps, appears to have been collected fro the uppe morphology which is consistent with its stratigraphic position. The observation that a nasal boss morphology appears to occur in relatively mature specimens of Triceratops (Torosaurus morph; e.g. MOR 1122; MOR 981; Farke, 2007) suggests that development of the boss morphology was ontogenetic, as is seen in some centrosaurine ceratopsids (e.g. Sampson, 1995; Currie et al., 2008). The nasal boss morphology is not exhibited in all Torosaurus specimens [MOR 3081, MPM VP 6841,YPM 1830, Yale Peabody Museum (YPM) 1831], and thus the degree to which this feature is developed individually or stratigraphically. UCMP 128561 exhibits a low nasal boss (Cobabe and Fastovsky, 1987; Forster, 1993), however due to the fragmentary nature of the specim it lear if it represents the Torosaurus morphology. Forster (1996) recognized rostrum morphology as one of the features which distinguishes T. horridus from T. prorsus. T. horridus exhibits a low, elongate rostrum with a sinusoidal dorsal margin whereas in T. prorsus the rostrum is shorter and more convex. Longrich and Field (2010) noted that specimens of T. prorsus have a more vertically oriented nasal process (= ascending nasal process of the premaxilla sensu Horner and Goodwin (2008), here referred to as the nasal process of the premaxilla 316 820]. The angle between the NPP and narial strut appears to increase stratigraphically in the HCF; specimens from the upper M3 and U3 exhibit a larger angle between the NPP and narial strut than specimens found lower in section (Fig. 5.2C).To quantify this shift in morphology, the angle between the NPP and narial strut (Fig. 5.S2) was measured using the Ruler tool in Adobe Photoshop. This angle was measured between the approximate midlines of each process, parallel to the direction representing the primary trend (results presented in Dataset S1; Fig. 5.2). We note that in some more basal taxa (e.g. Anchiceratops [Mallon et al., 2011]) the NPP can be oriented nearly perpendicular to the narial strut and as such give the rostrum a more convex appearance in lateral view. The width of the NPP also affects the rostrum morphology, as a wider NPP reduces the apparent sinuosity of the anterior premaxilla. MOR 3027 and MOR 3045 (both recovered from upper M3) exhibit a more vertically inclined premaxillary articulation with the nasal than specimens found lower in the formation. MOR 3045 (collected ~ 2 m above MOR 3027) exhibits the further derived feature of an anteroposteriorly expanded NPP, contributing to a rostrum which appears even more convex in lateral view. Rostrum length appears to vary both stratigraphically and ontogenetically. The largest specimens from U3 (e.g. MOR 004, MOR 1625) exhibit more elongate rostra [NPP]) when compared to T. horridus. Rostrum morphology appears to be tied to the orientation of the NPP, with a more posteriorly inclined NPP contributing to a low, sinusoidal rostrum in some specimens [e.g. MOR 1120; American Museum of Natural History (AMNH) 5116; National Museum of Natural History (USNM) 1201; YPM 1 317 Other Triceratopsin Taxa. (Fig. 5.2E, Dataset S1); however even these large specimens do not exhibit the strongly posteriorly inclined NPP and sinusoidal dorsal margin of the rostrum exhibited in specimens referred to T. horridus. Evolutionary changes in rostrum morphology may reflect the development of an enlarged epinasal. Longrich (2011) referred Oklahoma Museum of Natural History (OMNH) specimen 10165, a large ceratopsid specimen recovered from Campanian deposits of New Mexico and previously diagnosed as a gigantic specimen of Pentaceratops sternbergi (1998), to the new taxon Titanoceratops ouranos. Longrich (2011) proposed that Titanoceratops represents the oldest member of the Triceratopsini, the clade which includes Triceratops, Torosaurus, Nedoceratops, and Ojoceratops. This specimen exhibits several features consistent with its stratigraphic position relative to HCF Triceratops. It has a relatively short epinasal, short arched nasals, a posteriorly inclined NPP, and elongate postorbital horn cores. Given the degree of ontogenetic transformation noted in several marginocephalians (e.g. Scannella and Horner, 2010; 2011; Horner and Goodwin, 2006; 2009), it is possible that many of the features considered to distinguish Titanoceratops from Pentaceratops (including large size, broad epiossifications, extensive cornual sinuses, strongly anteriorly curved postorbital horn cores, elongate premaxilla [Longrich, 2011]) may instead represent ontogenetic or individual variation within the latter taxon (Fowler et al., 2011; which would be consistent with the original diagnosis by Lehman [1998]). Further assessment of this specimen and its phylogenetic position is beyond the scope of the current study. 318 ludes specimens which have been referred to Ojoceratops fowleri and o Material referred to Ojoceratops thus r consists of isolated or fragmentary elements. Due to the missing morphological formation for much of this material, specimens of O. fowleri were not included in the current cladistic analysis of HCF Triceratops. A nasal horn referred to this taxon [State Museum of Pennsylvania (SMP) VP-1828] exhibits a morphology similar to that observed in several lower unit (L3)/lower M3 Triceratops, which is consistent with its stratigraphic position relative to the Hell Creek Formation of Montana. The holotype squamosal (SMP VP-1865) has a greatly reduced anterolateral projection of the squamosal, which has been used to distinguish it from Torosaurus utahensis. The degree to which this feature can distinguish Ojoceratops from other taxa is unclear; the HCF dataset demonstrates that the morphology of this projection varies within Torosaurus and Triceratops, and even within a single individual (MOR 2999). Variation in this feature has previously been noted by Hunt and Lehman (2008). The incomplete or fragmentary nature of specimens which have been referred to Torosaurus utahensis has engendered debate regarding what material is referable to this taxon, its stratigraphic and biogeographic range, and which morphologic features, if any, distinguish it from other chasmosaurine taxa (see, for example, Sullivan et al., 2005; Triceratopsin material from the southern region of the western interior of North America inc Torosaurus utahensis (Gilmore, 1946; Lawson, 1976; Hunt and Lehman, 2008; Longrich, 2011; Sullivan and Lucas, 2010; Sullivan et al., 2005). Ojoceratops, from the Ojo Alam Formation of New Mexico, appears to be closely related to Triceratops (Sullivan and Lucas, 2010; Sampson et al., 2010; Mallon, 2011) and has been suggested to be synonymous with the latter taxon (Longrich, 2011). fa in 319 from nt with its stratigraphic position. Hunt and Lehman, 2008). This material was not included in the current study of HCF specimens. Tatankaceratops sacrisonorum is represented by a fragmentary partial skull the upper ( ~ 20 m below the K/Pg boundary) HCF in South Dakota (Ott and Larson, 2010). The specimen exhibits an enlarged nasal horn and very small postorbital horn cores. As noted by Longrich (2011), this specimen may represent T. prorsus, which would be consiste Triceratops Biogeography. Triceratops in the Frenchman Formation (Saskatchewan, Canada) and Laramie Formation (Colorado, USA) appear to exhibit morphologies consistent with those expressed by specimens in the Hell Creek Formation (HCF), Montana. The base of the Frenchman Formation occupies the uppermost C30n magnetozone, with the majority of the unit residing in C29r up to the K-Pg boundary (Lerbekmo, 1999; Lerbekmo and Braman, 2002), whichindicates the Frenchman Formation correlates largely to U3 of the HCF (Lerbekmo, 2009). Thus, we predict that most Triceratops skulls from the Frenchman Formation will exhibit T. prorsus morphologies. Diagnostic specimens published to date have been referred to T. prorsus (Tokaryk, 1986). Conversely, the uppermost Laramie Formation exhibits reversed magnetic polarity, aligning it with magnetochron C30R (Castle Pines core; Hicks et al., 2003; Raynolds and Johnson, 2003) and making it slightly older than the HCF (Lerbekmos, 2009). Thus, specimens from the Laramie Formation should exhibit cranial morphologies similar to L3 Triceratops, and to date this hypothesis remains unfalsified(Carpenter and Young, 2002). The Denver 320 d us far, specimens ollected outside of Montana present morphologies which are consistent with their ratigraphic positions relative to the HCF sample. Increased stratigraphic resolution and sampling from the Lance Formation of Wyoming and other coeval formations will permit further testing of biogeographic hypotheses. The historical record remains unresolved and of limited utility. Specimens from Upper M3. Formation is partly coeval with the HCF of Montana (Hicks et al., 2002) and is predicte to yield a similar stratigraphically segregated Triceratops record. Th c st Stratigraphic Correlations of MOR 3027, MOR 3045, and UCMP 113697 were all recovered from high in the middle unit of the HCF. The localities which produced MOR 3027 and MOR 3045 (Fig. 5.S2) are within a mile of one another, which facilitates their relative stratigraphic placement. MOR 3027 was collected ~ 5.5 meters below the Apex Sandstone (the base of U3). MOR 3045 was collected from ~ 7.5 meters below this marker bed, thus initially it appeared that MOR 3045 was found stratigraphically lower than MOR 3027. However, the Apex Sandstone is thicker and cuts down further into the underlying strata just above the quarry which produced MOR 3027. There is a prominent organic-rich horizon which can be laterally traced above both quarries. MOR 3027 was found 5.3 m below this organic-rich bed whereas MOR 3045 was ~ 3.3 meters below. Thus, the quarry which produced MOR 3045 is higher stratigraphically relative to MOR 3027. UCMP 113697 was discovered 21.5 km to the east of these localities. Locally, the Apex Sandstone is ~ 6 meters above the base of the quarry which produced this specimen. An organic-rich horizon which may correlate with the organic-rich bed found above the two MOR 321 rs above the quarry and thus UCMP 113697 appears to have been Estimation of Basal Skull Length. localities is ~ 3 mete collected from roughly the same stratigraphic level as MOR 3045. In this study, basal skull length was considered the distance from the anteriormost point of the rostrum to the posterior surface of the occipital condyle (following previous researchers) (Forster, 1996; Farke, 2007). Skull length measurements for some specimens were taken from reconstructions (Dataset 5.S1). For some largely complete specimens which do not preserve the occipital condyle, or in which it is obscured (e.g. MOR 004), this distance was approximated by measuring the distance from the anteriormost point of the rostrum to the posterior margin of the lateral temporal fenestra (see Dataset 5.S1). For less complete, or disarticulated specimens, basal skull length was estimated using linear regressions of basal skull length against preserved cranial elements. Linear models relating basal skull length to dentary length (measured from the anteriormost point to the posterior surface of the coronoid process), maxilla length (measured along the lateral surface), occipital condyle area (following Anderson, 1999), and jugal length (measured from the base of the orbit to the distal tip) produced R values of 0.995, 0.979, 0.944, and 0.980 respectively (Dataset 5.S1). The use of multiple elements allowed more specimens to be included in quantitative comparisons. If multiple elements were preserved in a specimen (for example, MOR 2982 has a dentary and jugal), the estimated values for basal skull length produced by the regression analyses were averaged. 2 322 Cladistic Analysis. A cladistic analysis of cranial variation in HCF Triceratops initially employed the heuristic search strategy of the program PAUP* 4.0b10 (Swofford, 2003). Nexus file available on MorphoBank (O'Leary and Kaufman, 2008) as project 1099. Analyses the random addition sequence with tree-bisection-reconnection (TBR) branch sw and 1,000 replicates; all most parsimonious trees were saved. Characters were unorde and unweighted. Maxtrees was set to 250,000. Analyses were initially performed us binary coding for morphological character s are used apping red ing s (see Pleijel, 1995; Frederickson and umark sal), o binary characters esents ter T in-Deratzian, 2014). Additional analyses were performed using multistate coding which combined binary characters 10 and 11 (development of the epninasal-nasal protuberance), 25 and 26 (development of the anterolateral projection of the squamo and 29 and 30 (number of epiparietals). Support for clades was determined using nonparametric bootstrap resampling (Felsenstein, 1985) in PAUP* 4.0b; 10,000 bootstrap replicates were analyzed with one tree retained per replicate. Application of bootstrap resampling to data in which multistate characters have been distilled t is problematic (Felsenstein, 1985) but was performed for comparative purposes. In addition, Bremer support indices were calculated using TreeRot.v3 (Sorenson and Franzosa, 2007) and PAUP* 4.0b10 (Swofford, 2003). This analysis focused on features found to vary within the HCF Triceratops dataset. Eotriceratops was included in the analysis to test the hypothesis that it repr a taxon distinct from Triceratops. As such, characters found to distinguish Eotriceratops by Sampson et al. (2010) and characters describing the relative height of the narial process and the morphology of the epijugal (Wu et al., 2007) were examined. Fors 323 . All coded pecim e k Project and which were largely complete or exhibited morphologies not n ious tion aside from some specimens which were missing a large portion of codeable characters (e.g., MOR 2552 and MOR 3010). (1996) noted five cranial characters which vary within Triceratops. Four of these characters were included in this analysis (Forster's character 4, which describes rostrum shape, was modified in this analysis to reflect the influence of NPP orientation [see Longrich and Field, 2012]). Forster's character 1 (describing the postorbital, jugal, squamosal suture pattern) was not found to vary in the HCF data set s ens either exhibited the 'primitive' state of the jugal contributing to the dorsal margin of the lateral temporal fenestra, or sutural relationships of this region were unpreserved or were obscured by fusion. Initially, specimens which were collected or stratigraphically relocated during th Hell Cree otherwise found within their respective stratigraphic units (e.g. MOR 2552, UCMP 128561) were included in the cladistic analysis. Only post-juvenile stage specimens were included in the analyses (see Campione et al., 2013). MOR 981 exhibits the Torosaurus morphology, and was collected from a mudstone above the basal sand of the formatio however detailed stratigraphic data is unavailable for this specimen. The initial strict consensus tree produced using binary coding [most parsimon trees (MPT) 250,000, 55 steps, consistency Index (CI) 0.7091, homoplasy Index (HI) 0.4000, retention Index (RI) .8400] produced a polytomy of all HCF specimens (Fig. 5.S5 A). The holotype of Eotriceratops [ Royal Tyrrell Museum (RTMP) 2002.57.7] was recovered as being basal to the HCF dataset, consistent with the initial hypothesis proposed by Wu et al. (2007). The 50% majority tree revealed a succession of specimens which was consistent with stratigraphic posi 324 pecim s of , RI lted ytomy as the S ens exhibiting the Torosaurus morphology clustered together as basal to the rest of the HCF dataset as these specimens exhibit several features (including a fenestrated parietal) that are observed in more basal taxa. MOR 3011, which preserves relatively thick sections of parietal-squamosal frill but is too fragmentary to be coded for feature these elements, was not distinguished from the Torosaurus group. Re-running the analysis using multistate rather than binary characters produced a polytomy in the strict consensus tree (MPT 250,000, 54 steps, CI 0.7222, HI 0.3889 0.8469), and the 50% majority-rule tree similarly produced a sequence of specimens consistent with stratigraphic position aside from the most fragmentary specimens (Fig. 5.S5B). The analysis was next rerun after removing the most incomplete specimens (individuals which did not exhibit at least seven codeable features).This analysis resu in a strict consensus (MPT 250,000, 55 steps, CI 0.7091, HI 0.4000, RI 0.8161) in which specimens were largely recovered in stratigraphic succession (except for MOR 3011 which, as noted above, grouped with Torosaurus specimens). MOR 1120 from L3 was found to be the most basal non-Torosaurus HCF specimen and MOR 2982 from the lower M3 was recovered as the next most basal. Above MOR 2982 is a large pol consisting of specimens from the upper half of the formation. The identical topology w recovered when the multistate matrix was analyzed (MPT 250,000, 54 steps, CI 0.7222, HI 0.3889, RI 0.8214; Fig. 5.3), however a bremer decay value of 2 was recovered for upper M3-U3 polytomy when the binary matrix was used (as opposed to a value of 1 when the multistate matrix was employed). 325 ded for 0 to a cimens from the upper half of the formation. The multistate ted a ecific Horner (2011) suggested the presence of a idline epiparietal in this specimen based on vascular patterns observed on the parietal. he 50% majority tree for both analyses (Fig. 5.S5 E,F) found MOR 3045 to be more derived than MOR 3027. UCMP 113697 clusters with MOR 2924 (U3) in the binary analysis, and with MOR 2924 and MOR 2999 in the multistate analysis. This topology suggests that UCMP 113697 is more derived than other specimens from upper M3 The analysis was next run after removing specimens which could not be co features of the parietal-squamosal frill. A branch and bound search was used with the furthest addition sequence implemented. The strict consensus tree produced using the binary matrix (MPT 218972, 55 steps, CI 0.7091, HI 0.4000, RI 0.8000; Fig. 5.S5 C) recovered a polytomy of Torosaurus specimens as basal to other specimens. MOR 112 and MOR 2982 from the lower half of the formation were recovered together as basal large polytomy of spe analysis (MPT 189820, 54 steps, CI 0.7222, HI 0.3889, RI 0.8077; Fig. 5.S5 D) resul in greater resolution; MOR 1120 was recovered as basal to the stratigraphically higher MOR 2982. MOR 1122 and MOR 981clustered together. These specimens both exhibit nasal boss and do not exhibit an epiossification or crenulation spanning the parietal- squamosal margin whereas the third Torosaurus specimen (MOR 3081) possesses a narrow epinasal and a parietal-squamosal crenulation. As these features appear to exhibit a large degree of variation within Triceratops (Scannella and Horner, 2010), intrasp variation appears more likely than these differences being taxonomic in nature. We note that in this analysis a midline epiparietal (character 32) was coded as absent in MOR 1122 as the element is not present and there does not appear to be a pronounced crenulation on the midline. Scannella and m T 326 f . inary state 20 and d MOR 3045 as basal to U3 specimens and as more derived than UCMP 113697 Stratocladistic Analysis. however, we note that this result may be influenced by missing data. MOR 2924 (recovered from the sandstone at the base of U3) preserves a broader posterior surface o the epinasal than other specimens from U3, but does not preserve postorbital horn cores The anteromedial processes of nasals of MOR 2924 are unobservable due to articulation with the premaxillae. The morphology of the anteromedial processes on the nasals of UCMP 113697 are currently obscured due to the mounting of the disarticulated skull elements for display. When specimens which did not preserve at least 10 codeable features (in the multistate matrix) were removed from the analysis, the strict consensus trees (b coding: MPT 7036; 54 steps; CI 0.7222; HI 0.3889; RI 0.8000; Fig. 5.S5 G; multi coding: MPT 7036, 53 steps, CI 0.7358, HI 0.3774, RI 0.8082; Fig. 5.3B) exhibited an identical topology. Torosaurus specimens were recovered as basal to MOR 11 MOR 1982, and specimens from the upper half of the formation were again recovered in a large polytomy. When MOR 2924 was removed from the analysis, both analyses (binary coding: MPT 282; 53 steps; CI 0.7358; HI 0.3774; RI 0.8028; Fig. 5.S5 H; multistate coding: MPT 282; 52 steps; CI 0.7500; HI 0.3654; RI 0.8116; Fig. 5.3C) recovere and MOR 3027, which cluster together. Stratocladistics incorporates stratigraphic data into cladistic analyses (see, for example, Fisher, 1994; 2008; Polly, 1997; Pardo et al., 2008; Campione and Reisz, 2010; Rook and Hunter, 2011). A stratocladistic analysis was performed using the program 327 lysis, s s d thus may represent the Torosaurus morphology. A ingle s nal units from the lower half of the d and were not always consistent with stratigraphic position. This result is kely influenced by the fact that specimens from the lower half of M3 do not preserve StrataPhy, which produces trees that can indicate possible ancestor-descendant relationships (Marcot and Fox, 2008). The multistate dataset was used for the ana with the specimens MOR 981, MOR 1604, and MOR 2978 removed from the analysi due to ambiguity over their precise stratigraphic position. Rather than coding specimens separately, specimens from the lower M3, upper M3, lower U3, and upper U3 were combined into operational units based on stratigraphic position. MOR 3081 and MOR 3005 were considered separately from other specimens from the same stratigraphic zone due to the distinct ontogenetic (Scannella and Horner, 2010; or, alternatively, taxonomic [Farke, 2011; Longrich and Field, 2012; Maiorino et al., 2013]) morphological differences between these specimens. MOR 3005 is a fragmentary specimen, but preserves thin sections of frill an s tratigraphic character was added [stratighraphic position: (position 0) stratigraphically below the HCF; (position 1) lower L3; (position 2) upper L3; (position 3) lower M3; (position 4) upper M3; (position 5) lower U3; (position 6) upper U3]. Arrhinoceratops (ROM 796) was designated the outgroup. MAXTREES was set to 250,000, and all other parameters were StrataPhy's default settings (Marcot and Fox, 2008). The inital analysis produced 61 trees with nine topologies (total debt = 64) (Fig. 5.S6 A). Aside from one tree which suggests all operational units arose via cladogenesis, specimens from the upper half of the formation were consistently found to represent an anagenetic succession. The position of operatio formation varie li 328 that would allow them to be distinguished from the orosaurus morphology. MOR 2982 preserves an anterolateral projection of the rus ee topologies; ig. 5.S6 B) produced a single tree suggesting all operational units arose via cladogenesis and two additional topologies which include ancestor-descendant relationships. In four trees, all operational units were recovered within an anagenetic lineage except the lower M3 group. This operational unit was recovered as basal to the upper L3 operational unit, suggesting a cladogenetic event. The remaining four trees exhibit a bifurcation event in L3 giving rise to two lineages. Given the lack of frill characters for the lower M3 operational unit, the influence of Torosaurus specimens on the results was examined by pruning all Torosaurus from e to T. prorsus (Fig. .4A). Eight trees recovered two lineages suggested to diverge at some point in L3 or prior to the deposition of the HCF. One lineage gives rise to lower M3 specimens and the other to U3 specimens. This result suggests that two anagenetic lineages, one comprised of specimens referable to T. horridus and the other giving rise to T. prorsus, coexisted in features of the parietal-squamosal frill T squamosal, which is consistent with the morphology expressed in several other HCF specimens including the Torosaurus specimen MOR 3081. Incorporation of Torosau specimens into Triceratops operational units (total debt = 67, nine trees, thr F the analysis. This pruning resulted in reduced total debt (57) and 12 trees (Fig. 5.S6 C). Four trees indicate that all HCF operational units represent a single anagenetic lineag with specimens exhibiting the T. horridus morphology evolving in 5 the HCF (for at least some time) (Fig. 5.4B). 329 Analysis. First Use in a Cladistic Study is Cited Characters Incorporated in Cladistic . th 2) Cross section of postorbital horn core: (code 0) circular to sub-circular; (code 1) e a r which apparently laterally compressed postorbital horn cores are likely a sult of taphonomic processes (e.g. MOR 2982, MOR 3027) have been coded as '?'. trongly ode 1) NPP vertical or nearly vertical [Forster, 1990; Forster, 996, character 4 modified; Longrich and Field, 2012; Fig. 5.S2] orster, morphology has been used in phylogenetic studies of chasmosaurines (e.g. Sampson et 1) Postorbital horn core length: (code 0) long (postorbital horn core/basal skull leng ratio: ≥0.64 ; (code 1) short (postorbital horn core/basal skull length ratio: <.64 (1). [Forster, 1990 character 58 modified; Forster, 1996, character 2 modified] narrow. The postorbital horn cores of some specimens of Triceratops (e.g. MOR 2702, MOR 2923) exhibit a markedly narrow morphology which does not appear to b product of taphonomic distortion. MOR 2923 exhibits no evidence of lateral compression and yet the postorbital horn cores of this specimen have a pronounced ventral keel. Specimens fo re 3) Rostrum shape: (code 0) primary axis of nasal process of premaxilla (NPP) is s posteriorly inclined; (c 1 4) Frontoparietal fontanelle: (code 0) open fontanelle; (code 1) closed or constricted due to fusion of frontals and parietals. [Forster, 1990, characters 49 and 50 modified; F 1996, character 3 modified] 5) Epijugal: (code 0) comes to a pronounced peak; (code 1) low and blunt (Longrich, 2010, character 102 modified; Sampson et al., 2010 character 50 modified). Epijugal 330 ens exhibiting the Torosaurus orphology exhibit an epijugal which comes to a pronounced peak, similar to the condition noted in more basal taxa such as Eotriceratops (Wu et al., 2007). At least one large Triceratops with a non-fenestrated parietal (MOR 1625) also exhibits a peaked epijugal. , 7) Nasal horn length: (code 0) short (length/width ratio < 1.85); (code 1) long (length/width ratio > 1.85). [Forster, 1990, character 28 modified; Forster, 1996, character 5 modified] ) Dorsal surface of epinasal: (code 0) narrow to peaked; (code 1) broad. The posterior surface of the epinasal varies from being quite broad to nearly flat in some specimens, to being narrow and coming to a pronouned peak in others. The peaked condition is 9) Nasal: (code 0) short, arched; (code 1) elongate, straight. A short, arched nasal is observed in the holotype of T. horridus (YPM 1820) and several other specimens referred al., 2010; Longrich, 2011) and as a diagnostic feature of some taxa. In most specimens of Triceratops, the epijugal is a low, blunt element. Specim m 6) Quadratojugal notch: (code 0) present; (code 1) absent. [sensu Gates and Sampson 2007, character 71 and McDonald et al., 2010, character 16]. The quadrates of Triceratops exhibit a pronounced ridge on the antero-lateral surface. In many specimens this ridge is interrupted by a pronounced notch, however in some specimens this notch is not present. 8 observed in the holotypes of Arrhinoceratops and Eotriceratops. 331 Wellnhofer (1986). The structure appears to be formed by a combination of the nterior nasals and the posterior portion of the epinasal. Forster (1996) suggested that this feature was due to the incomplete fusion of the epinasal to an underlying boss or horn core; disarticulated nasals reveal no underlying boss (see Horner and Goodwin, 2008) but the anterior nasal can be somewhat thickened relative to the middle segment of this element. Presence of a homologous structure in mature individuals (MOR 1122) suggest that its presence is not a result of incomplete fusion, though the degree to which this 11) Epinasal-Nasal protuberance: (code 0) reduced or absent (code 1) developed into pronounced boss pronounced (code 1) reduced, onstricted or absent (Fig. 5.S3). Triceratops from the lower half of the HCF appear to exhibit a distinct process on the antero-medial surface of the nasal, medial to the to this taxon. Specimens from U3 of the HCF exhibit a more elongate nasal morphology which lacks pronounced arching of the lateral margin. 10) Anterior nasals and posterior portion of epinasal fused to form a protuberance posterior to epinasal: (code 0) present; (code 1) subtle or absent. Forster (1996) noted a pronounced bump or boss posterior to the nasal horn in UCMP 113697. A similar structure is present in the holotype of T. 'calicornis' (USNM 4928) as noted by Ostrom and a feature varies throughout ontogeny is currently unknown. Development of this feature may be tied to evolutionary elongation of the epinasal. 12) Antero-medial process on nasal: (code 0) present, c 332 ]). In 13) Posterior projection on epinasal: (code 0) present; (code 1) absent (Fig. 5.S4). The posterior surface of some epinasals exhibits a small but pronounced posterior projection or shelf. The projection appears to be absent in observed specimens from U3. The see character 5.S2). In sterior ). n ut is clearly present in juvenile specimens from U3 (MOR 1110, MOR 951). The degree to which this feature varies ontogenetically in specimens from the lower half of the formation is currently unknown. rostroventral process (following the terminology of Fujiwara and Takakuwa [2011 specimens from U3 in which this process is visible, it is greatly reduced . projection may contribute to formation of the epinasal-nasal protuberance ( 9). 14) Nasal process of the premaxilla: (code 0) narrow; (code 1) expanded (Fig. some specimens of Triceratops the NPP is narrow, exhibiting only slight antero-po expansion. The premaxilla of the holotype of Eotriceratops exhibits an extremely narrow NPP. In many specimens of Triceratops from relatively high in the HCF, this process is expanded into a wide, nearly square structure (Dataset 5.S1 15) Midline peak on nasal process of the premaxilla: (code 0) absent; (code 1) present. The nasal process of MOR 3045 exhibits a pronounced dorsal peak anterior to its posterior margin (see Fig. 5.S2 E). This process appears to be absent or greatly reduced i other specimens, b 2 16) Prominence immediately anterior to or descending from the narial strut, directed into interpremaxillary fenestra: (code 0) absent (code 1) present (See Fig. 5.S7 A). 333 et al., 2010; character 12]. Many specimens of riceratops appear to exhibit two prominences or struts directed into the interpremaxillary fenestra (characters 16 and 17; see Fig. 5.S7 A). The degree to which these features are developed varies between specimens. 8) Premaxilla, triangular process recess: (code 0) shallow; (code 1) deep [Dodson et al., 2004; character 12 (modified)] 9) Triangular ('narial' sensu Wu et al., 2007) process of premaxilla: (code 0) dorsal margin (at point of contact with narial strut) positioned roughly at or below the ventral margin of the interpremaxillary fenestra; (code 1) dorsal margin of narial process (at point of contact with narial strut) positioned well above ventral margin of interpremaxillary fenestra (see Wu et al., 2007). e 1) 21) Posteroventral surface of the posterior 'prong' of premaxilla (sensu Wu et al., 2007): (code 0) comes to a narrow ridge (code 1) broad posterior surface. The prominent prong of the posteriormost premaxilla exhibits a narrow ridge on its posterior surface in some ader posterior surface of this element. The degree to 17) Premaxilla, accessory strut in septal fossa: (code 0) no accessory strut; (code 1) strut present [Sampson T 1 1 20) Ventromedial foramina of the premaxilla positioned (code 0) close together; (cod far apart (more than 1.5 times the width of anterior foramen) [see Fig. S7 B]. The large anterior foramen was highlighted in the description of the holotype of Eotriceratops by Wu et al., (2007). specimens of Triceratops. Specimens from U3, including juveniles (MOR 1110; MOR 2951) appear to exhibit a much bro 334 22) Posterior prong of premaxilla: (code 0) broad surface for articulation with nasal; (code 1) exhibits a pronounced ridge on the lateral surface and a constricted area for articulation with the nasal (Fig. S6). 3) Episquamosal or squamosal crenulation number (Farke et al., 2011, character 55 modified): (code 0) seven or more; (code 1) six or fewer. 4) Convex margin of squamosal (code 0) absent; (code 1) present (see Longrich and Field, 2012). Longrich and Field (2012) noted that specimens of T. prorsus tend to exhibit a strongly convex margin of the squamosal. This study finds the shape of the squamosal to vary within Triceratops with some specimens which exhibit T. horridus morphologies (MOR 1120) possessing more convex squamosals than other specimens which exhibit T. prorsus morphologies (MOR 2702; Dataset 5.S1). This variation is likely tied to ontogenetic elongation of this element (see Scannella and Horner, 2010). Specimens from higher in the HCF appear to exhibit the convex morphology for a longer period of time, ontogenetically. In this study, specimens were coded as possessing a convex squamosal if the ratio of sqamosal length to the distance to the squamosal's lateral margin (measured from and perpendicular to the line representing length) was ≤ 4 (see Dataset 5.S1). ojection on squamosal (see Sullivan et al., 2005): (code 0) present; ode 1) greatly reduced or absent which this feature might vary ontogenetically lower in the formation is currently unknown. (See Fig. S7). 2 2 25) Anterolateral pr (c 335 t ullivan et al. (2005) noted that Torosaurus latus specimens exhibit a greatly ronounced projection of the anterolateral surface of the squamosal which causes the otic notch to become constricted. This projection is present to various degrees in many specimens of Triceratops, however in some it is greatly reduced (nearly absent). 27) Squamosal bar (code 0) present; (code 1) absent (Forster, 1990, character 90 modified; Sampson et al., 2010, character 64 modified) 28) Ventral surface of parietal in areas surrounding fenestrae/incipient fenestrae: (code 0) smooth transition in thickness; (code 1) thickness transitions in pronounced step from thicker to thinner bone. Scannella and Horner (2010) noted distinct thinning regions on the ventral surface of the parietal of many Triceratops specimens. This region is often rimmed by a pronounced transition in thickness, from thick bone posteriorly to far thinner bone within the depression ("incipient fenestra"; but see Farke, 2011; Longrich and Field, unced step between thicker nd thinner bone. MOR 1122, a specimen with fenestrae, exhibits a trace of this step along the edge of a fenestra. The holotype of 'Nedoceratops hatcheri' (USNM 2412) also appears to exhibit a slight step around its reduced parietal fenestra (Scannella and Horner, 2011). A distinct ventral parietal step appears to be more common in specimens found higher in section. 26) Anterolateral projection on squamosal: (code 0) pronounced, forming strongly concave anterior margin of the squamosal; (code 1) reduced or absent (see Sullivan e al., 2005). S p 2012; Tsuihiji, 2010). However, in some specimens of Triceratops the transition in thickness in these regions is more gradual and lacks the prono a 336 ls or epiparietal crenulations: (code 0) four or fewer; (code 1) e [H lmes 990, character 46 0) 5 or fewer; (code 1) 6 or character 46 modified] er, 1990; character 84 0) absent (code 1) present Scannella and Horner e epiparietal on MOR itions were coded based enulation indicating contact: (code 0) present; ode 1) absent [Farke et al., 2011; character 43 modified )]. . 29) Number of epiparieta five or mor o et al., 2001, character 28 modified; Forster, 1 modified] 30) Number of epiparietals or epiparietal crenulations: (code more [Holmes et al., 2001 character 28 modified; Forster, 1990, 31) Parietal fenestrae: (code 0) present; (code 1) absent (Forst modified) 32) Epiossification or crenulation on midline of parietal: (code [(Forster, 1996; Sampson et al., 2010, character 95 modified)]. (2011) presented evidence suggesting the presence of a midlin 1122. For the purposes of the present analysis, epiossification pos either on presence of the element or a pronounced marginal cr position on the parietal-squamosal frill. 33) Epiossification or crenulation spanning parietal-squamosal (c    Data Matrix Specimen codings for this analysis. ROM 796 is the holotype of Arrhinoceratops brachyops; RTMP 2002.57.7 is the holotype of Eotriceratops xerinsularis.  337 Matrix (Binary Coding) ROM796 00010?000 00??????00???00000(0 1)0000? RTMP2002.57.7 0?0?0000?????0000010????????????0 OR1122 10010001000????0?1?0??00000(0 1)11001 MOR1120 1000?0010000?00111?100(0 1)(0 1)001000?10 MOR2985 ???????????????????????00110????? MOR2982 1?0?1?01?01??0?11????0??01??????? OR3010 1?????01?000????????????????????? ??0???01???000?01???????????????? CMP113697 0010??11?01??????????1?1011?00110 ?10?0 OR3 ?0 ?10 lterna M MOR3081 10??0?00?00????????0??00010010000 MOR2552 00?01?????????????????????1?????1 MOR3005 ????????0??0?????????0?????0????1 M MOR3011 U MOR3027 0 ??1??0000101?101?0011000?01 M 045 1010 ?1???00111???11110011100110 UCMP128561 ??????01????????1???????????????? MOR2574 101???101??1110111????????10???0? MOR2702 ?11??010?10??10?1???11?01111????? MOR1625 ??1?0?10?10????11101??111111????? MOR2924 ??1???111???11???1??11110111??1?? MOR2978 1??1??10110????????????11111??1?? UCMP136092 1?????????????????????11011???1?? MOR2936 ?????01?????11??0???11??11??????? MOR2979 11?1?0??????????????11??????????0 MOR2971 ??1???10?10??1?11101????????????? UCMP137263 10??????1??1??????????????1?????0 MOR004 ??111?10110???????????11?11?00110 MOR2999 10?0?1??1??1??????????1(0 1)(0 1)11100 MOR2923 11?1??101???????????????????0010? MOR1604 1?1?1011110?????11??????11??????? MOR981 0?0???010??????????????????010001 A tive Multistate Characters: Character 10: Protuberance posterior to epinasal (code 0) very subtle or absent; (code 1) see Forster [1996] and ent, projects anteriorly roducing strongly concave anterior margin of the squamosal; (code 1) anterior present, prominent (2) enlarged into a pronounced bump or boss ( Ostrom and Wellnhofer [1986]) Character 24: Anterolateral projection on squamosal: (code 0) pres p 338 rojection present but does not project strongly anteriorly; (code 2) greatly reduced or absent (see Sullivan et al., 2005) Character 27: Number of epiparietals or parietal crenulations per side of parietal: (code 0) 4 or fewer; (code 1) 5; (code 2) 6 or more (Holmes et al., 2001, character 28 modified; Forster 1996,character 46 modified; Sampson et al., 2010, character 93 modified) Matrix (Multistate) p ROM 796 00010?0001??????00???0000(0 1)000? RTMP2002.57.7 0?0?0000????0000010??????????0 MOR1122 1001000101????0?1?0??0000(0 1)2001 MOR3081 10??0?00?1????????0??001001000 MOR1120 1000?001010?00111?100(0 1)(0 1)0100?10 MOR2552 00?01???????????????????1????1 MOR2985 ??????????????????????0110???? MOR3005 ????????0?0?????????0????0???1 MOR2982 1?0?1?01?2??0?11????0??1?????? MOR3010 1?????01?10??????????????????? MOR3011 ??0???01??000?01?????????????? UCMP113697 0010??11?2??????????1?111?0110 MOR3027 0?10?0??1?0000101?101?01100?01 2 1????????????????????1111??1?? MOR2936 ?????01????11??0???11??2?????? MOR2979 11?1?0?????????????11????????0 MOR2971 ??1???10?0??1?11101??????????? UCMP137263 10??????1?1?????????????1????0 MOR004 ??111?1010???????????11?1?0110 MOR2999 10?0?1??1?1??????????1(0 1)(1 2)110?10 MOR2923 11?1??101?????????????????010? MOR1604 1?1?101110?????11??????2?????? MOR981 0?0???010????????????????01001 MOR3045 1010?0?1??00111???111101110110 UCMP128561 ??????01???????1?????????????? MOR2574 101???101?1110111???????10??0? MOR2702 ?11??010?0??10?1???11?0211???? MOR1625 ??1?0?10?0????11101??11211???? MOR2924 ??1???111??11???1??1111111?1?? MOR2978 1??1??1010????????????1211?1?? UCMP13609 339 Figure 5.S1. Triceratops from upper M3. (A) MOR 3027 (cast), a large subadult. (B) OR 3045, subadult recovered from ~ 2 m stratigraphically higher than MOR 3027. hese specimens exhibit a combination of primitive and derived features. Both specimens xhibit a more convex rostrum than Triceratops found stratigraphically lower. MOR 045 represents the lowest occurrence of a wide NPP in the HCF dataset. Parietal, quamosal, postorbital, nasal, and epinasal of MOR 3045 mirrored. Orbit is crushed. Scale bars: 10 cm.) M T e 3 s ( 340 Figure 5.S2. Variation in the nasal process of the premaxilla. (A) RTMP 2002.57.7, the holotype of Eotriceratops. (B) MOR 1120, collected from L3. (C) MOR 3011, collected from the lower part of M3. (D) MOR 3027, collected from upper M3. (E) MOR 3045, collected from upper M3. This specimen exhibits a pronounced peak on the nasal process (arrow) which is anterior to the posterior margin, a feature which is observed in juveniles from U3. (F) MOR 2574, collected from the lower U3. (G) MOR 2702, collected from the lower U3 (image mirrored for comparison). Specimens from U3 (F-G) exhibit a wider PP; MOR 3045 represents the stratigraphically lowest occurrence of a wide NPP. MOR 574 and MOR 2702 were collected from a multi-individual bone bed and exhibit he N 2 variation in the morphology of the NPP. A trend towards an increased angle between t NPP and NS is noted in the HCF sample (Dataset 5.S1). NPP, nasal process of the premaxilla. NS, narial strut. (Scale bars: 10cm; B-G are to the same scale.) 341 Figure 5.S3. Variation in the anteromedial process of the nasal. (A) MOR 3027 (from pper M3) expresses a prominent process on the anteromedial surface of the nasal. (B) OR 2999 (from U3); this process is greatly reduced. (Scale bar: 5 cm.) u M 342 Figure 5.S4. Some specimens exhibit a pronounced shelf or projection on the posterior surface of the epinasal (indicated by arrow; character 13). (A) MOR 989, stratigraphic position to be determined. (B) MOR 3045 from upper M3. (C) MOR 2924 from U3. (Scale bars: 5 cm.) 343 Figure 5.S5. Additional results of cladistic analyses of HCF Triceratops. (A) 50% majority-rule consensus tree produced by initial analysis using binary coding. Bootstrap support values below nodes. Percent occurrence for nodes are reported above horizontal ens group according to relative stratigraphic position, however several agmentary specimens are recorded in positions inconsistent with stratigraphic position. OR 981, MOR 1122, MOR 3081, and MOR 3005 exhibit the Torosaurus morphology. , ranch-and-bound search). lines. Specim fr M (B) 50 % majority rule tree produced by initial analysis using multistate coding. (C) Strict consensus tree produced once specimens which could not be coded for characters of the parietal-squamosal frill are removed (binary coding, branch and bound search). Bremer decay values greater than one reported above nodes. (D) Strict consensus tree produced once specimens which could not be coded for characters of the parietal- squamosal frill are removed (multistate coding, branch-and-bound search). (E) 50% majority-rule consensus tree for analysis in which specimens which specimens which could not be coded for characters of parietal-squamosal frill are removed (binary coding branch-and-bound search). (F) 50% majority-rule consensus tree for analysis in which specimens which specimens which could not be coded for characters of parietal- squamosal frill are removed (multistate coding, branch-and-bound search). (G) Strict consensus tree for analysis including only specimens exhibiting at least 10 cranial characters (in the multistate matrix); binary codings (branch-and-bound search). (H) Strict consensus tree for analysis after MOR 2924 is removed from the matrix; binary codings (b 344 Figure 5.S6. Results of stratocladistic analyses. (A) Topologies produced in the initial analysis, in which specimens exhibiting the Torosaurus morphology are considered separately from other operational units (61 trees, nine topologies, Debt = 64). Nearly all topologies recover specimens from the upper half of the HCF in an anagenetic sequence, whereas positions for specimens from the lower half of the formation exhibit variation. Nexus file including all tree results are available on Morphobank as project 1099 (O'Leary and Kaufman, 2008). (B) Result when specimens exhibiting the Torosaurus morphology are incorporated into operational units (nine trees, three topologies, debt = 67). MOR 3081 and MOR 1120 are combined into an upper L3 operational unit; MOR 3005 is incorporated into the lower M3 operational unit. An additional topology suggesting a purely cladogenetic scenario was also recovered. (C) Results when Torosaurus specimens are pruned from the analysis. Twelve trees are produced and two topologies incorporating anagenesis are recovered (Debt = 57). Gray branches represent operational units which are also recovered as being ancestral in trees presenting the same opolo gy. t 345 igure 5.S7. Additional characters of the Triceratops premaxilla. (A) Rostrum of MOR 1625 rom U3). Black arrow indicates prominence anterior to the narial strut which projects into the interpremaxillary fenestra. White arrow indicates accessory strut in the septal fossa (Sampson et al., 2010, character 12). Scale bar, 5 cm. (B) Ventral view of the left premaxilla of MOR 1120. Arrows indicate primary ventro-medial foramina which penetrate the medial shelf. In this specimen these foramina are widely spaced, while in some they are positioned more closely together (≤ 1.5 x width of the anterior foramen). Scale bar, 10 cm. (C-F) Posterior prong of the premaxilla (characters 21-22). (C) Lateral view of the posterior prong of the left premaxilla of MOR 1120 (from L3). (D) Posteroventral surface of prong. (E) Lateral view of the posterior prong of the left premaxilla of MOR 2702 (from U3). (F) Posteroventral surface of premaxillary prong of MOR 2702. The posterior portion of the prong is narrow and comes to a sharp ridge (indicated by black arrows) in MOR 1120, which contrasts with the condition seen in specimens from U3 in which the posterior surface of the prong is broad. Juvenile specimens from U3 exhibit a broad posterior surface, similar to the condition observed in OR 2702. Red arrows highlight the lateral surface of the prong; some specimens xhibit a more constricted lateral surface with a pronounced lateral ridge. (Scale bar, 10 m.) F (f M e c 346 Dataset 5.S1 (Appendix 1) Basal Skull Length (BSL) Estimations Specimen No. Unit Dentary L. (cm) BSL (cm) MOR 1199 TBD 27 48.3 MOR 2951 U3 31 58.6 MOR 3027 M3 56.5 110 MOR 1604 TBD 54.8 110 MOR 004 U3 59 122 Estimates : UCMP 154452 U3 15.9 24.55162 MOR 2928 U3 40.5 78.4699 MOR 3081 L3 56.5 113.5387 MOR 2982 M3 50.5 100.3879 MOR 3010 M3 est. 50 99.292 MOR 3045 M3 51.5 102.5797 MOR 2702 U3 60 121.21 MOR 2574 U3 51 101.4838 MOR 2597 U3 46.6 91.83988 MOR 2999 U3 49.5 98.1961 MOR 3011 M3 est. 45 88.333 MOR 3046 U3 51 101.4838 MOR 8147 U3 57 114.6346 MOR 8148 U3 58.5 117.9223 MOR 3042 U3 52 103.6756 MOR 2945 TBD 54 108.0592 347 Specimen No. Jugal L. (cm) BSL (cm) MOR 1199 TBD 17.8 48.3 MOR 2951 U3 22.9 58.6 MOR 1110 U3 30 77.6 MOR 3027 M3 38.8 110 MOR 1604 TBD 41 110 MOR 004 U3 42.5 122 MOR 1120 L3 35 98 MOR 1122 L3 48.2 126.4 Estimates: MOR 2569 M3 16 41.9811 UCMP 154452 U3 11.5 29.37795 MOR 3064 M3 20.4 54.30418 MOR 2982 M3 35 95.1944 MWC 8574 U3 50.5 138.60525 UCMP 113697 M3 39 106.3972 MOR 3045 M3 36 97.9951 UCMP 136092 U3 41 111.9986 UCMP 137263 U3 35.35 96.174645 348 Maxilla Length Specimen No. Maxilla L. (cm) BSL (cm) MOR 2951 U3 27 (est. 28) 58.6 MOR 1110 U3 34.5 (est. 35) 77.6 MOR 1199 TBD 21.4 (est. 22) 48.3 MOR 1120 L3 37.8 (est. 41) 98 MOR 3027 M3 50 (est. 52) 110 MOR 1122 L3 58 126.4 MOR 1604 TBD 48 110 Estimates: MOR 2999 U3 42 92.9858 UCMP 113697 M3 50 110.5938 RTMP2002.57.7 60 132.6038 349 Occiptial Condyle Area O.C. Width (cm) O.C. Height (cm) O.C. Area (cm2) BSL (cm) MOR 1199 TBD 4.7 4.9 23.03 48.3 MOR 2951 U3 6.2 6.2 38.44 5 MOR 1110 U3 7.4 7.4 54.76 77.6 MOR 1120 L3 8.9 8.5 75.65 98 8.6 MOR 3027 M3 11.1 11.3 125.43 110 MOR 1122 L 8.06 126.4 Estimates: 3 11.7 11.8 13 UCMP 154452 U3 2.9 2.5 7.25 43.31353 U3 9.1 9.1 82.81 90.83321 U 10.8 10.1 109.08 107.3544 MOR 2552 L3 10.7 10.3 110.21 108.0651 MOR 3081 L3 9.5 9.1 86.45 93.12241 MOR 3041 U3 9.4 9.4 88.36 94.3236 MOR 2551 TBD 9.8 9 88.2 94.22298 MOR 2936 U3 9.3 9.2 85.56 92.56268 MOR 1625 U3 11.9 11.2 133.28 122.5738 MOR 2972 U3 9.6 9.8 94.08 97.92091 UCMP 113697 M3 11.5 10.9 125.35 117.5866 MOR 2924 U3 9.3 9.1 84.63 91.97781 MOR 2570 U3 7.8 7.8 60.84 77.01628 MOR 699 TBD 7.3 7.7 56.21 74.10447 MOR 2959 ?L3 9.8 9.6 94.08 97.92091 MOR 2999 MOR 2979 3 350 easured from anteriormost point of rostrum to posterior rface of occipital condyle (following Forster, 1996). Values for MOR 004, MOR 1604, and MOR 3027 approximated using distance from anterior point of rostrum to posterior margin of lateral temporal fenestra. Rostra of MOR 1110 and MOR 1122 are reconstructed. Measurements taken from skull reconstructions at MOR (MOR 1199, MOR 1110, MOR 2951, MOR 3027) and from articulated specimens (MOR 004, MOR 1604). BSL Note: Basal Skull Length m su (cm) Distance from ant. rostru posterior margin of m to lateral temporal fenestra (cm) MOR 1199 48.3 48.7 MOR 2951 58.6 57.8 MOR 1122 126.4 125.7 351 Dataset 5.S1 (Appendix 2) Specimen no. Locality Name HCF Unit Level Length Width L/W Mean Std. Dev. Std. Error MOR 1122 TORO II L3 lower 12 17.4 0.689655 MOR 3081 JRH-008 L3 upper 13.9 est. 10.4 1.336538 1.088559 0.350696 0.2479795 MOR 1120 Getaway Trike L3 upper 5.8 6.9 0.84058 MOR 2982 3 Amigos M3 lower 10 6.5 1.538462 1.209369 0.342027 0.1710135 MOR 3010 Golden Goose M3 lower 6.5 8.6 0.755814 1.164553 MOR 3011 Anky Breaky Heart M3 lower 6.7 5.1(est. 6.8) 0.98529 MOR 3055 Brown Nose M3 lower 14.5 12.6 1.150794 MOR 2570 Mark's Scavenged Trike M3 lower 11 7.9 1.392405 UCMP128561 Dave's Nose M3 upper 13.6 14.2 0.9577 1.652774 0.613401 0.3541471 MOR 3045 Cliffhanger M3 upper 12 (est. 16) 8.5 1.882353 UCMP 113697 Ruben's Triceratops M3 upper 24 11.33 2.11827 MOR 2924 Lon's Trike U3 lower 22.5 10 2.25 2.35038 0.145963 0.059589 MOR 2972 Supernasal U3 lower 25 11.2 2.232143 2.145602 0.38882 MOR 3008 American Beauty U3 lower 26.5 10.1 2.623762 2.308763 0.142503 MOR 2971 Crazy Trike U3 lower 26.3 11 2.390909 MOR 2936 Lazy Bones U3 lower 19 9 2.111111 MOR 2702 BAB U3 lower 30 13 2.307692 MOR 1625 Haxby Trike U3 lower 30 13.5 2.222222 MOR 2574 Quittin' Time U3 lower 21 9.1 2.307692 MOR 2965 TrkNas U3 upper 14 6 2.333333 MOR 1110 SG5 U3 lower 8.3 5.4 1.537037 MOR 2951 DFJuvieTrike3 U3 lower 4.5 3.5 1.285714 MOR 2923 Joe's Half Day Trike U3 upper 29 13 2.230769 2.355036 0.39088 0.1381969 MOR 2576 Snap Creek U3 upper 21.3 13.6 1.566176 MWC 7584 U3 upper 36.6 12.6 2.904762 MOR 004 MORT U3 upper 28.5 13 2.192308 MOR 2952 Homer's Nose U3 upper 27 11.2 2.410714 MOR 3048 Wednesday's Trike U3 upper 19 7.2 2.638889 MOR 2941 Nosy Nasal U3 upper 24.8 10 2.48 MOR 2938 Lauren's Trike U3 upper 29 12 2.416667 RTMP2002.57.7 'Dry Island Triceratops' HCanyonFm 8 11.3 0.707 OR 2978 Greene Trike U3 TBD 25.95 11.3 2.29646 OR 3049 Present U3 TBD 21 10.5 2 OR 966 TBD 15.5 11.5 1.347826 OR 1604 Baker Trike TBD 26.5 12 2.208333 OR 3058 JDExTrike2 M3 17 11 1.545455 OR 965 Mickey's Trike TBD 24.9 17 1.464706 OR 2551 CSTrike2 TBD 22 14.3 1.538462 OR 2575 TBD 25 13.5 (est. >17 M M M M M M M M ) <1.470589 OR 989 Pompey TBD 8.1 8 1.0125 OR 981 TORO I TBD 10 13 0.769231 M M HCF Triceratops nasal horns. TBD = to be determined. Red text indicates incomplete specimens. Green text indicates taphonomic distortion. Blue text indicates juvenile specimens. MOR 3011 is either a very large juvenile or a subadult. *RTMP2002.57.7 is the holotype of Eotriceratops, collected from the Horseshoe Canyon Formation of Alberta. Specimens highlighted in green were not included in Spearman's rank correlation test. Measurements are in cm.   352 Dataset 5.S1 (Appendix 3) Specimen no. Locality Name HCF Unit Level Angle Mean Std. Dev Std. Error MOR 1122 TORO II L3 lower 125 124.5 0.707107 0.5 MOR 1122 7-22-00-1 TORO II L3 lower 124 MOR 1120 Getaway Trike L3 upper 126 MOR 3011 Anky Breaky Heart M3 lowe ppe r 127 127 2 1.15470054 MOR 6683 To the Premax M3 lower 125 MOR 2982 3 Amigos M3 lower 129 MOR 3027 Yoshi's Trike M3 upper 141 140 2.645751 1.52752523 MOR 3045 Cliffhanger M3 u r 142 UCMP 113697 Ruben's Triceratops M3 upper 137 MOR 2924 Lon's Trike U3 lower 144 141.4 5.639149 2.52190404 MOR 2574 Quittin' Time U3 lower 136 139 6.271629 2.370453 MOR 2702 BAB U3 lower 135 OR 1625 Haxby Trike U3 lower 144 OR 2971 Crazy Trike U3 lower 148 OR 2951 DFJuvieTrike3 U3 lower 135 MOR 1110 SG5 U3 lower 131 MOR 004 MORT U3 upper 136 136 RTMP 2002.57.7* 'Dry Island Triceratops' HCany Fm 114 MOR 1604 Baker Trike TBD 137 MOR 981 TORO I TBD 104 MOR 1199 Sierra Trike TBD 140 MOR 2590 JRH7-2-05-2 Microsite TBD 145 M M M on Angle between nasal process of the premaxilla (NPP) and narial strut. Measurement taken between approximate midlines of each process, parallel to direction representing primary trend. Blue text indicates juvenile specimens. RTMP2002.57.7 is the holotype of Eotriceratops, collected from the Horseshoe Canyon Formation of Alberta.   353 Dataset 5.S1 (Appendix 4) Specimen no. Locality Name HCF Unit Level Length Width L/W Mean Std. Dev.Std. Error MOR 1122 7-22-00-1 Toro II L3 lower 14.9 4.9 3.040816 MOR 1120 Getaway Trike L3 upper 6.4 3.7 1.72973 MOR 3011 Anky Breaky Heart M3 lower 7.6 4.4 1.727273 1.65850816 0.097248 0.068765 MOR 2982 Three Amigos M3 lower 5.89 3.705 1.589744 MOR 3027 Yoshi's Trike M3 upper 7.65 5.5 1.390909 1.42402597 0.046834 0.033117 MOR 3045 Cliffhanger M3 upper 10.2* 7 1.457143 MOR 2574 Quittin' Time U3 lower 8.8 7 1.257143 1.15360747 0.163476 0.094383 MOR 2702 BAB U3 lower 8.1 6.54 1.238532 1.24254978 0.217482 0.097261 MOR 2936 Lazy Bones U3 lower 7.2 7.46 0.965147 MOR 2951 DFJuvieTrike3 U3 lower 5.5 3.5 1.571429 MOR 1110 SG5 U3 lower 5.69 4.82 1.180498 RTMP2002.57.7 'Dry Island Triceratops' HCanyonFm 15.6 est. 6 2.6 MOR 1199 Sierra Trike TBD 5.4 2.3 2.347826 UCMP 113697 Ruben's Triceratops M3 upper 8.43** 7.25 1.16 MOR 6653 To the Premax M3 lower 8.8 4.7 1.87234 Nasal process of the premaxilla (NPP). Length measured from dorsalmost point of NPP to ventralmost point of NPP articulation with nasal. Width measured at narrowest point (waist). TBD = to be determined. Red text indicates incomplete specimens. Blue text indicates juvenile specimens. MOR 3011 is either a very large juvenile or a subadult. RTMP2002.57.7 is the holotype of Eotriceratops, collected from the Horseshoe Canyon Formation of Alberta. This specimen tapers to a point, width measured at approximate waist though there is some reconstruction in this area. *MOR 3045 exhibits a pronounced midline peak on the NPP; when measured to the base of this peak the length of NPP is 8.2 cm. **Length of the NPP of UCMP 113697 obscured by anterior nasals due to mounting of the skull. Measurements are in cm. 354 Dataset 5.S1 (Appendix 5) Specimen no. Locality Name HCF Unit Level NL BSL NL/BSL Mean Std. Dev. Std. Error MOR 1122 Toro II L3 lower 48 32.3 37 43.5 41 51 12 28.3 46.5 54 126.4 0.379747 MOR 1120 Getaway Trike L3 upper 98 0.329592 MOR 3006 Antsy Trike M3 lower MOR 3027 Yoshi's Trike M3 upper 110 0.395455 MOR 2574 Quittin' Time U3 lower 39.1 101.48 0.385298 0.415523 0.042746 0.030226 MOR 2924 Lon's Trike U3 U3 lower 91.98 0.445749 0.390212 0.045312 0.022656 MOR 1625 Haxby Trike U3 lower 2.57 0.416089 0.415712 0.030228 0.013518 MOR 2951 DFJuvieTrike3 U3 lower 19.9 58.6 0.33959 MOR 1110 SG5 U3 lower 77.6 0.364691 MOR 004 MORT U3 upper 55.75 122 0.456967 0.435311 0.020568 0.010284 MOR 2999 Situ But Sad U3 upper 38.8 94 0.412766 MOR 2923 Joe's Half Day Trike U3 upper 51.5 115 0.447826 UCMP 137263 High Ceratopsian U3 upper 40.75 96.18 0.423685 MOR 1604 Baker Trike TBD 110 0.422727 MOR 2551 CSTrike2 TBD 94.22 0.573127 MOR 1199 Sierra Trike TBD 14.8 48.3 0.306418 HCF Triceratops nasals. Green text indicates taphonomic distortion. Blue text indicates juvenile specimens. Nasal length (NL) measured from anterior to the epinasal suture to the anteriormost point of the nasal-frontal suture. Basal Skull Length (BSL) measured from anterior of rostrum to posterior of occipital condyle. TBD = to be determined. Measurements are in cm. 355 Dataset 5.S1 (Appendix 6) Specimen No. Locality Name HCF Unit Level P.O. Horn L BSL P.O./BSL Mean Std. Dev. Std. Error MOR 1122 Toro II L3 lower 43 [est 60] 126.4 0.474684 MOR 1120 Getaway Trike L3 upper 49 98 0.5 0.574716 0.143592 0.0829031 MOR 2552 BOSH L3 upper 78 [est 80] 108.07 0.740261 MOR 3081 JRH-008 L3 upper 32[est 50] 103.33 0.483887 MOR 2589 DK Site L3 TBD 19.3 MOR 1098 Fisk L3 TBD 10.5 MOR 2982 3 Amigos M3 lower 40[est 50] 97.79 0.5113 0.49233 0.026827 0.0189694 MOR 3010 Golden Goose M3 lower 43[est 47] 99.29 0.473361 0.433194 0.104168 0.0601415 MOR 2569 Afternoon Delight M3 lower 13 41.28 0.314922 MOR 3006 Warwick's Horn M3 lower 43[est 51] MOR 3064 Little Horny Devil M3 upper 25 54.3 0.460405 0.716357 0.121877 0.070366 MOR 3027 Yoshi's Trike M3 upper 90 110 0.818182 0.652369 0.162113 0.0810564 UCMP 113697 Ruben's Triceratops M3 upper 83.6 111.53 0.749574 MOR 3045 Cliffhanger M3 upper 58.3 100.29 0.581314 MOR 2979 Seth's Trike U3 lower 48.95 107.35 0.455985 0.451291 0.044987 0.0224933 MOR 2702 BAB U3 lower 40.3[est 55] 121.21 0.453758 0.437942 0.157017 0.0593469 MOR 2574 Quittin' Time U3 lower 51 101.48 0.502562 UCMP 136092 Russell Basin Triceratops U3 lower 44 112 0.392857 MOR 2972 Supernasal U3 lower 26.7 97.92 0.272672 MOR 1110 SG5 U3 lower 50 77.6 0.64433 UCMP 154452 U3 lower 4.15 32.41 0.128047 MOR 2951 DFJuvieTrike3 U3 lower 28.6 58.6 0.488055 MOR 2958 DFJuvieHornCore U3 lower 42 MOR 3047 Got the Horn U3 lower 37.2 MOR 3000 Ashes Trike U3 lower 30 MOR 2927 Trike Basin U3 upper 30 MOR 2923 Joe's Half Day Trike U3 upper 55 115 0.478261 0.512576 0.043524 0.0194644 MOR 2597 Mark's Trike II U3 upper 53.5 91.84 0.582535 MOR 3041 Joey's Trike U3 upper 42[est. 47] 94.32 0.498304 MOR 2999 Situ But Sad U3 upper 45 94 0.478723 UCMP 137263 High Ceratopsian U3 upper 50.5 96.18 0.525057 MOR 2952 Homer's Nose U3 upper 57[est 60] MOR 3053 PVU Trike U3 TBD 53.5 MOR 2988 Spike the Trike U3 TBD 56 MOR 539 Trumbo Ranch TBD 18.35 MOR 2579 Twitchell North TBD 20.5 MOR 1199 Sierra Trike 17 48.3 0.351967 MOR 1604 Baker Trike 60.5 110 0.55 MOR 2551 CSTrike 2 .7[est. 50] 94.22 0.530673 MOR 981 Toro I TBD 83.5 129.5 0.644788 RTMP2002.57.7 'Dry Island Triceratops ' 74[est. 85] 132.6 0.641026 TBD TBD TBD HCanyonFm 40 HCF Triceratops postorbital horn cores. Red text indicates incomplete specimens. Blue text indicates juvenile specimens. *RTMP2002.57.7 is the holotype of Eotriceratops, collected from the Horseshoe Canyon Formation of Alberta. TBD = to be determined; BSL = basal skull length (measured from anterior point of the skull to the posterior surface of the occipital condyle). Measurements are in cm.     356 Dataset 5.S1 (Appendix 7) Specimen no. Locality Name HCF Unit Level RL BSL RL/BSL Mean Std. Dev. Std. Error MOR 1120 Getaway Trike L3 upper 28 98 0.285714 MOR 3045 Cliffhanger M3 upper 23 100.29 0.229335 0.239667 0.014612 0.0103325 MOR 3027 Yoshi's Trike M3 upper 27.5 110 0.25 MOR 1625 Haxby Trike U3 lower 34 127.06 0.26759 0.244654 0.032436 0.0229358 MOR 2574 Quittin' Time U3 lower 22.5 101.48 0.221719 0.245583 0.022992 0.013274 MOR 2951 DFJuvieTrike3 U3 lower 14.5 58.6 0.24744 MOR 004 MORT U3 upper 33 122 0.270492 0.260778 0.013737 0.0097138 MWC 8574 U3 upper est. 34.8 138.61 0.251064 RTMP 2002.57.7* 'Dry Island Triceratops' HCanyonFm 47 132.604 0.354439 MOR 1604 Baker Trike TBD 24 110 0.218182 MOR 1199 Sierra Trike TBD 10.3 48.3 0.213251 MOR 981 Toro I TBD 47 129.5 0.362934 HCF Triceratops rostra. Blue text indicates juvenile specimens. Rostrum length measured from the anteriormost point of the rostrum to the narial strut. BSL = basal skull length. Measurement s for MWC 8574 and RTMP 2002.57.7 taken from photographs. Measurements are in cm. 357 Dataset 5.S1 (Appendix 8) Distance to Unit SQ Length (cm) lateral margin (cm) SQ L/DtLM UCMP 154452 U3 11 2.2 5 OR 1199 TM BD 33.5 5.8 5.77586207 MO 11 MO 5281 OR 3027 M3 84.5 19.8 4.26767677 OR 29 9845 OR 2999 right: U3 72.5 17.6 4.11931818 M R 16 UC P 1 22 4 OR 004 U3 est. 93 24 3.875 M R 30 108 12.5 8.64 OR 1122 right: L3 120 14 8.57142857 MOR 2951 U3 39 10 3.9 MOR 1110 right: U3 54 14 3.85714286 left: 61.5 14.5 4.24137931 R 20 left: L3 78.5 21 3.73809524 right: 82 19 4.31578947 R 3045 M3 76.5 17.8 4.2977 M UCMP 113697 M3 85.5 24.5 3.48979592 M 24 U3 75.6 19.3 3.9170 M left: 75.5 19 3.97368421 O 25 U3 87.2 22 3.96363636 M 36092 U3 88 M MOR 2985 L3 93 21 4.380952 MOR 2702 U3 100 19.5 5.12820513 O 81 L3 M Squamosal Convexity. Squamosal length measured from parietal/squamosal contact to anterolateral projection. 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L, length; Trans, transverse; Ant, anteriormost; Post, posteriormost; qj, quadratojugal; qu, quadrate; H A , height Linear Measurements 1: L from ant dentary to post rp 2: Transverse width at post rp 3: Transverse width at post contact of dentaries t tine contact int of orbits rbit 12: L from ant jugal/maxilla contact to post qj/qu contact 13: Trans width at post qj/qu contact 14: L jugal/maxilla contact to pterygoid/palatine contact 15: qj/qu contact to qu/laterosphenoid contact 16: width of occipital condyle 17: height of occipital condyle 18: Basioccipital width 19: Vertical diameter of foramen magnum 20: Trans width of supraoccipital 21: L qj/qu to jugal projection 22: Height of jugal at projection 23: Total casque L 24: Basal casque L 25: L from casque contact with rostrum to posterodorsal point 26: Casque width dorsal to lachrymal suture 27: Casque width dorsal to ant contact with rostrum 28: L maxilla/jugal ventral contact to dorsal surface of casque 29: H of casque at ant contact with rostrum 30: Anteror contact of casque with rostrum to maxilla/jugal contact 31: L ant rostrum to ant casque 32: L ant rostrum to ant base of casque 4: Dentary depth at post contact 5: Basal Skull Length (rostrum to occipital condyle) 6: Ant rostrum to ventral jugal/maxilla contac 7: Trans width at jugal/maxilla contact 8: Trans width at ptyergoid/pala 9: Tran width at dorsalmost po 10: L from dorsal pt of orbit to ventral pt of o 11: L from ant orbit to post orbit 366   Geometric Morphometric Landmarks 1: Ant point of rostrum 2: Ant contact of casque with rostrum st poin que l to ct w stru al poin que al cont ntra t) la Conta orbi in t poi a ad ga t dr ct of q wi am point o for ddu and e ex pr st poin res t point t t point l ba ecti t point 3: Anteriormo t of cas dorsa conta ith ro m 4: Posterodors t of cas 5: Maxilla/jug act (ve l poin 6: Jugal/maxil ct at t marg 7: posteriormos nt of jug l bar (qu ratoju l contac with qua ate) 8: dorsal conta uadrate th squ osal 9: dorsalmost f fossa M. a ctor m ibula ternus ofundus 10: anteriormo t of na 11: dorsalmos of orbi 12: dorsalmos of juga r proj on 13: ventralmos of postorbital bar 367 Appendix 6.2 Linear m ure o bil s. Da d ligh y indicate male trata c B g d le a lbotibialis, respectively. Red and yellow indicate male and female C. elata, respectively. mes1 eas ments f horn l skull rk an t gre and female C. a , respe tively. lue and reen in icate ma and fem le B. a mes2 mes3 mes4 mes5 mes6 mes7 mes8 M ST-2 2 23. 67. 30.1 45 OR-O 59 165.1 38.4 9.6 6 1 9 1 41.8 7.35 MOR-O 268 15 32.1 27 .3 .6 9 ST- 0.7 22 158 121. 35.835 NA MOR 270 15 30.7 4.5 4 .3 8 3 5-OST- 6.3 2 23.3 161 121. 8.695 .23 MOR 269 29 3.7 2 .4 6 3 5-OST- 147 .6 2 20.5 154 115. 7.255 .79 MO 1635 157. .075 .36 5 5 5 3 4.6R-OST- 08 36 29 23.39 163.36 125.62 8.015 65 MO 288 17 33.3 2.8 3 .2 4 R-OST- 6.7 3 27.2 182 140. 42.29 6.29 MO 285 165 38 0.6 .2 .8 5 4 R-OST- .5 .5 3 24 173 131.8 0.445 8.43 MO 281 173 36 1.3 6 A 3 R-OST- .7 .6 3 26.9 N 142. 41.61 7.28 MO 287 179 35.2 3.3 6 .8 4 8.R-OST- .7 3 28.9 185 144.9 44.76 31 MO 275 171 24 6.5 .1 .5 6 4 R-OST- .1 .4 2 27 180 141. 1.395 5.03 MOR 286 167 37.1 0.4 2 .5 4 3 -OST- .2 3 27.6 177 134. 9.035 NA MO 272 176 39 .14 .2 .9 1 8.0R-OST- .9 .4 32 28 184 140. 44.285 7 MO 278 18 36.3 1.1 2 .5 7 R-OST- 2.4 3 26.0 188 144. 41.56 7.5 MO 276 17 38.6 9.2 1 .3 4 41 6R-OST- 2.6 2 28.7 180 140. .735 .34 MO 279 20 29.1 2.9 3 .5 6 4 6R-OST- 3.2 3 27.9 203 157. 0.645 .28 MO 274 172 32 1.1 7 .9 9 R-OST- .8 .9 3 26.1 182 143. 39.17 6.82 MO 273 182 34.3 7.6 9 .7 6 7.9R-OST- .77 2 27.3 191 149. 40.9 8 MO 280 180 35.1 5.8 6 7 1 5R-OST- .6 3 28.6 18 149. 43.63 .96 MO 277 181 37.1 31 1 .6 2 R-OST- .6 31.0 187 149. 39.55 6.23 MO 258 184 32 0.6 7 .9 1 R-OST- .9 .5 3 30.4 190 148. 41.93 6.7 MO 289 17 3 .02 .1 .2 3 6R-OST- 0.4 6 28 25 182 142. 42.99 .42 MO 266 178 34 7.8 1 .5 4 4 6R-OST- .7 .6 2 27.3 187 145. 2.775 .07 MO 267 1 33.2 1.5 5 .9 8 3 R-OST- 65 3 27.7 177 137. 9.445 6.69 MO 1625 63. .155 825 5 5 4R-OST- 1 435 33 25. 26.62 174.92 131.17 38.07 .425 MO 162 175.34 33.72 .98 5 8 5 3 6R-OST- 6 29 28.0 186.0 146.62 8.935 .39 MO 1627 65.0 .64 .91 8 8 5 6.3R-OST- 1 95 36 5 30 27.2 176.0 136.46 42.335 25 MO 1628 181 0.7 .44 5 5 3 5R-OST- .05 4 9 27 27.44 187.97 148.7 39.94 .935 MO 162 73. 7.7 695 5 5 6 7.5R-OST- 9 1 515 3 9 31. 28.64 182.87 143. 39.125 65 MO 1630 177. .93 645 5 7R-OST- 14 34 5 31. 28.01 185.64 145.72 39.677 .675 MO 1631 177.28 37.0 065 2 5 42 R-OST- 5 32. 26.9 187.69 147.98 .895 7.65 MO 163 170. 3 .87 3 1 5 6.R-OST- 2 38 9 28 26.7 178.1 138.22 37.19 16 MO 162 155 29.9 .1 .5 2 3 R-OST- 2 .82 30 23 163.0 123.0 41.59 5.9 MO 1621 167 32.4 9.8 .8 9 4 4 6.3R-OST- .6 2 24 176.8 135.8 3.565 35 MO 265 161 5.79 .23 5 4 5 7.4R-OST- .36 3 31 30.90 172.9 132.14 40.845 35 MO 162 67.7 .415 285 8 1 5 R-OST- 0 1 35 30 28. 26.9 177.31 36.97 40.11 6.75 MO 1636 146 .005 145 5 5 5 7R-OST- .8 30 24. 22.8 152.5 115.76 37.3 .595 368 MOR 163 02. 5.31 .14 8 2 3 7 7-OST- 3 2 665 3 31 30.2 08.0 165.6 45.315 .44 MO 290 2 1.8 .54 3 3 1 R-OST- 15 4 9 31 29.3 21 17 42.41 6.65 MOR 1634 17 .74 485 5 5 5 4 7 9 -OST- 8.4 36 5 28. 24.26 184.34 147.04 3.065 .195 mes mes10 mes11 mes12 mes13 mes14 mes15 mes16 mes17 22 2 3 49 2 2 29 5 2 3 5 2 3 51 18.7 5 3 2 34 4 44 2 3 54 2 3 55 4 2 3 57 2 5 2 33 49 49 2 3 58 2 54 26 56 27 3 56 4 2 34 52 25. 54 26 54 3 26 2 33 5 7 24 3 55 2 4 26.585 3 53 26 5 3 3 4. 27 3 50 2 3 54 4 2 2 5 3 2 26.5 5 4 3 54 3 5 2 3 5 2 51 5 4 2 2 23 4 22 32 4 3. 45 23.57 25.625 32.04 53.76 21.905 17.43 6.195 3.695 42.2 .175 4.115 1.12 .245 NA 16.07 5.52 3.46 38.8 3.57 5.405 .935 0.71 20.47 18.48 6.16 3.57 42.05 2.33 25.03 0.37 1.45 19.9 16.17 6.26 3.12 41.24 2.54 25.025 2.34 .545 55 17.08 .27 .935 44.88 5.35 28.12 .375 56.79 20.95 17.63 6.77 .065 .32 4.28 27.16 5.245 .455 20.23 17.05 7.43 4.285 44.36 5.29 28.89 5.21 .695 19.15 18.91 NA NA 5.78 6.19 26.23 3.515 .615 20.085 19.2 7.29 4.715 44.1 5.35 27.46 33.48 3.05 19.85 17.17 6.86 2.85 46.37 4.67 26.59 .515 .875 NA 18.78 6.405 3.8 .13 5.08 27.785 6.83 .175 22.125 18.52 7.095 4.07 48.51 6.48 28.365 34.69 .615 20.09 19.87 6.2 3.91 46.66 .795 27.205 33.1 .315 18.88 19.63 6.54 4.38 44.12 .575 27.89 6.435 .375 19.825 19.27 6.84 .395 43.04 5.07 26.595 .23 .99 18.995 18.37 6.57 3.9 46.19 815 27.26 32.84 .92 20.33 20.04 6.955 3.95 47.63 .915 27.71 32.95 .595 19.72 18.98 6.845 .925 45.27 .755 6.11 .935 5.01 19.37 18.8 .425 4.535 50.11 .875 26.175 1.765 .795 0.285 18.93 6.975 4.18 6.22 27.17 4.285 .505 21.81 18.34 6.41 3.68 44.85 .565 27.99 33.32 5.01 22.38 19.04 7.11 .745 46.35 24.4 25.565 2.68 NA 19.595 18.61 6.78 425 41.89 .455 29.4 3.63 .805 20.435 18.35 5.96 3.66 45.295 24.54 5.98 2.915 .03 20.86 19.095 6.505 4.07 2.92 8.07 6.995 30.865 6.03 21.12 19.46 6.465 .785 47.87 7.255 15 33.985 3.42 20.41 19.125 5.655 3.93 3.875 28.49 26.62 1.505 .045 18.58 18.21 5.84 4.355 43.615 25.88 26.2 0.505 4.525 19.17 18.94 6.7 4.135 43.01 8.415 27.31 2.555 5.075 19.585 18.555 5.97 NA 42.225 6.715 27.305 33.26 .685 18.93 18.11 6.38 3.71 43.87 28.07 28.01 34.24 2.12 28.2 18.71 6.62 3.84 5.035 7.215 7.015 32.98 54.72 20.835 19.585 5.865 4.06 42.425 .115 26.51 32.67 NA 19.865 NA 5.735 4.305 1.425 .45 25.85 .915 6.015 20.665 16.075 5.35 795 369 21.255 2 4 25 38 2 4 2 3 4 2 2 55 mes18 36.8 3.385 29.42 4.92 20 15.34 4.595 3.61 53.26 .455 28.01 .135 60.5 21.325 0.775 6.785 .235 51.3 6.62 28.805 8.065 53.99 22.41 21.26 6.64 4.065 4.255 5.02 6.315 29.46 .565 19.1 17.87 6.61 3.88 mes19 mes20 mes21 mes22 mes23 mes24 mes25 mes26 12.085 6.4 3.45 10.9 7.7 .145 96.56 96.69 32.73 11.515 6.02 9.89 7.0 7.24 87.63 .135 31.26333 11.575 6.59 .825 4.9 .685 .685 4.99 31.25333 11.55 6.51 .385 9.4 5.87 80 6.97 80 29.14 11.175 7.42 1.97 9.89 .825 90.99 88.14 88.91 26.93 12 7.57 .165 0.42 6.7 3.67 .885 .905 54.905 15.115 7.11 .855 9.7 7.2 6.01 .555 .315 43.28667 NA 8.32 5.2 2.8 8.95 695 8.66 9.44 62.40333 13.605 6.7 8.35 11.03 8.01 .635 .925 0.08 57.19 11.77 7.42 6.52 8.44 7 .275 .225 8.15 50.365 8.6 7.0 .925 10.7 7.85 7.13 04.7 .795 55.23333 13.975 .575 3.14 9.5 6.57 1.86 .845 58.655 13.53 7.81 .29 0.2 7 .045 .975 .515 50.32 12.66 7.16 1.37 8.28 125 5.14 195 56.54 12.935 7.9 .44 12 9.3 .915 .265 .215 58.04667 11.685 6.8 .665 0.4 .185 0.55 2.45 46.44 14.025 8.0 7.78 10.59 8 1.28 .425 0.04 58.67 12.285 25 10.9 8 .935 2.03 138 57.54333 12.855 N 6.12 12.46 8.7 00.6 .005 .995 53.695 NA 7.3 26.83 10.46 6 .025 .495 6.41 52.59667 12.02 6.4 .965 1.78 9.3 3.92 5.75 .425 58.88 12.415 7.8 .76 10.1 .995 .205 .855 56.7 14.17 7.69 .675 9.97 7 3.01 06.8 .205 55.79667 12.155 7.98 24 3.3 5 .585 .735 0.61 51.665 12.8 7.81 4.81 .465 8.55 4.92 .225 .445 47.77 12.9625 6.88 24 .69 8.64 .105 .055 .025 51.315 12.39 8.475 25.91 14.73 8.6 0.82 5.57 .905 52.695 12.025 8.115 24.91 12.73 7.91 8.57 6.87 .605 54.835 12.82 7.375 26.56 12.53 8.60 6.21 5.58 .915 49.395 12.2625 7.515 .27 .10 8.7 .975 2.91 39.6 52.115 12.245 8.00 .29 .655 7.1 2.2 .795 .975 48.37 12.45 8.055 5.9 .845 .615 1.82 8.56 1.82 45.07 12.725 NA .265 .805 7.39 .515 .695 8.06 53.575 13.76 7 .495 NA .835 .645 7.32 .155 37.7 2 2 3 99 21.79 1 8 88 23 6.91 2 94 94 9 22 8 7 2 6 25 1 9 16 111 140 25 3 1 11 92 114 2 9 1 1 167. 10 13 3 2 165 112 14 2 .02 131 108 12 5 24 14 1 127 8.06 30 1 4 15 11 137 27 5 1 9 .16 178 115 144 7.65 2 1 168. 10 134. 3 24 5 193 121 149 26 1 8 7.5 156 11 13 3 2 .35 18 120 15 6.62 .6 .15 160 11 A 2 8 2 133 161 .67 143 113 13 2 25 1 3 18 11 146 1 26 5 7.3 179 126 147 26 .71 14 1 128 5 .7 1 5 .4 148 100 13 2 12 15 111 134 5 12 5 148 99 128 3 16 11 140 5 17 11 147 5 16 10 132 26 5 11 5 7 163 11 1 5 25 5 10 8 16 8 108 138 2 1 8 5 12 10 12 28 9 150 100 12 .1 26 7 177 10 124 370 10.7125 7. 5.09 1.6 5.9 2.86 315 0.62 35.79 9.9675 7.0 9.8 9.39 .20 .815 39.62 .815 26.39 13.78 8.7 .32 6.62 .335 .06 2.06 .785 55.335 12.61 8.7 8.43 12.68 8.56 1.87 90.5 .955 59.315 12 4 8.75 5.79 13.91 7.62 .855 55 .855 26.85 mes27 4 2 1 7 7 17 108. 13 1 1 1 5 5 40 40 2 29 5 1 10 112 5 9 123 8 2 14 4 122 .2 2 62 .9 62 mes28 mes29 mes30 mes31 mes32 3.645 40.34567 12.35 88.895 64.23 60.52 5.35 41.08 14.88333 77.635 72.78 64.85 8.345 38.51 15.205 84.18 56.92 57.71 4.845 37.055 11.41 71.74 61.14 61.4 8.115 37.505 13.77 81.395 67.13 61.43 32.79 82.025 46.225 100.68 72.63 63.55 11.19 71.145 28.865 87.75 76.82 71.8 33.385 79.045 45.54 99.53 86.62 69.99 27.95 82.68 46.5 102.515 86.37 74.58 21.155 73.465 29.88 96.66 75.57 67.8 28.37667 81.05 39.13 91.055 75.79 65.04 32.21 80.685 48.145 102.285 82.98 61.54 27.56333 84.47 52.28 102.4 81.69 65 31.745 87.105 49.65 95.3 86.41 73.55 40.45 81.07 41.695 104.415 83.76 79.31 16.205 76.21 41.79 100.785 88.55 73.8 30.47333 84.985 52.31 107.295 90.15 67.06 30.735 82.4 47.81 101.83 86.96 73.49 26.68 82.89 51.18 111.015 79.02 64.96 16.285 78.29 39.69 102.18 88.61 71.61 32.755 84.365 54.92 102.415 81.99 68.08 29.36 80.505 54.47 110.475 85.9 54.83 33.265 76.005 50.435 96.405 93.45 69.28 32.98 74.67 40.66 91.62 76.66 66.29 24.635 72.2 44.245 98.12 88.06 76.73 31.35 77.79 44.3 91.795 77.4 68.17 27.355 80.995 52.5 104.84 99 68.31 29.02 83.28 55.495 101.72 93.31 65.78 25.2 76.543 49.955 94.755 96.19 80.7 35.475 90.225 54.56 103.24 103.43 73.05 25.02 82.215 53.02 96.61 82.33 66.89 3.76 73.25 3.315 93.52 48.91 48.9 32.265 84.8 49.47 91.98 86.18 74.11 371 .62 33.975 94.585 27.21 62.57 16.155 73.535 32.96 97.965 33.29 58.43 45.085 1.67 46.82 100.36 98.27 27.645 92.08 47.53 86.75 149.46 109.01 41.95 92.395 72.71 85.54 163.9 126.38 16.18 40.46 2.13 64.83 126 110.56 25.475 75 22.635 372   ppendix 6.3. SMA Results.A lack Casqued Hornbills B Mes N R2 Slope 95% CI (Slope) Intercept 95% CI (Intercept) Allometry 1 32 0.949 1.078 0.9908312 - 1.172465 -0.195 - 0.4084942- 0.000854164 iso 2 32 0.0355 1.755 1.2265982 - 2.512187 -2.418 - 4.1239589 - - 1.226617 + 3 32 0.3202 1.475 1.089357 - 1.996004 -1.8502 - 3.025308 - - 0.9819903 + 4 32 0.7061 1.5071 1.2329213 - 1.842261 -1.974 - 2.728887 - - 1.3556126 + 5 32 6 32 0.966 1.188 1.108936 - 1.272117 -0.534 - 0.7244892 - - 0.3567278 + 7 32 0.237 0.835 0.6094497 - 1.1438992 -0.256 - 0.9465754 - 0.2474257 iso 8 30 0.3999574 2.746 1.9391512 - 3.887440 -5.382 - 7.957747 - - 3.5631122 + 9 32 0.357 0.892 0.6643791 - 1.1978048 -0.3602 - 1.0492055 - 0.1529800 iso 10 32 0.3499 1.132 0.8419093 - 1.522674 -1.141 - 2.0213345 - - 0.4870901 iso 11 32 0.259 0.6899 0.5030731 - 0.9460819 -0.127 - 0.7042636 -0.2941488 - 12 32 0.248 0.792 0.5764007 - 1.088855 -0.266 - 0.93453141 - 0.2203913 iso 13 31 0.451 0.664 0.5030980 - 0.8768983 0.235 - 0.2447883 - 0.5976908 + 14 30 0.0584 -1.334 - 1.9263532 - -0.924017 4.319 3.3936870 - 5.654594 - 15 32 0.469 0.892 0.6817143 - 1.1662564 -1.362 - 1.3621386 - - 0.2701223 iso 16 32 0.207 1.385 0.9999011 - 1.919786 -2.311 - 3.515498 - - 1.4423467 iso 17 31 0.2606 1.688 1.2242754 - 2.326574 -3.2093 - 4.648663 - -2.1651052 + 18 31 0.1098 1.584 1.1153576 - 2.250936 -2.476 - 3.977223 - - 1.418956 + 19 30 0.239 1.4083 1.0107924 - 1.962170 -2.3073 - 3.555261 - - 1.4115618 + 20 32 0.388 1.2041 0.9030012 - 1.605482 -1.3046 - 2.209307 - - 0.6261205 iso 21 32 0.274 2.434 1.7808421 - 3.327375 -4.452 - 6.464766 - - 2.97933322 + 22 32 0.438 2.612 1.9822568 - 3.443001 -5.0106 - 6.882416 - - 3.590326 + 23 32 0.822 4.132 3.532850 - 4.833184 -7.152 - 8.732283 - - 5.801710 + 24 32 0.746 1.963 1.628733 - 2.366097 -2.396 -3.304218 - -1.6424134 + 25 32 0.80018 2.821 2.389741 - 3.330121 -4.2507 - 5.398063 - - 3.741488 + 26 32 0.687 3.628 2.949043 - 4.463710 -6.492 - 8.374858 - -4.961241 + 27 32 0.646 11.532 9.255086 -14.36801 -24.685 - 31.07767 - - 19.55464 + 28 32 0.651 4.454 3.579957 - 5.540648 -8.183 - 10.632626 - - 6.2138 + 29 32 0.619 10.639 8.469182 - 13.36598 -22.434 -28.57836 - -17.54242 + 30 32 0.8066 1.618 1.374099 - 1.904683 -1.664 - 2.310132 - - 1.1143508 + 31 32 0.446 2.0453 1.5548356 - 2.690563 -2.698 -4.152241 - -1.5926442 + 32 32 0.273 1.721 1.2588347 - 2.352790 -2.05101 -13.334900 - - 1.970324 +               373   hite-thighed Hornbills W N R2 Slope 95% CI (Slope) Intercept 95% CI (Intercept) Allometry 3 0.983 0.851 0.2365102 - 3.060417 0.3081 - 4.604653 - 1.673871 iso 3 0.179 1.217 - 60.90662 - 1.387348 -1.2014 0.05277303 - 28.07088 iso 3 0.7295 1.6101 0.1211347 - 21.40067 -2.137 - 46.13814 - 1.173661 + 3 0.661 1.876 0.1262988 - 27.87332 -2.745 - 60.54542 - 1.145846 iso 3 3 0.998 1.0992 0.6134885 - 1.969629 -0.337 - 2.272079 - 0.7430919 iso 3 0.885 0.596 0.06833259 -5.198606 0.2702 - 9.962938 - 1.44344 iso 3 0.564 -0.7798 - 13.137372 - - 0.04629 2.594 0.9632916 - 30.06931 - 3 0.0995 0.945 0.1189945 - 7.505512 -0.498 - 15.083780 - 1.339011 iso 3 0.766 0.528 0.04267299 - 6.541191 0.173 - 13.195813 - 1.252647 iso 3 0.885 0.823 0.09410514 -7.199283 -0.428 - 14.604902 -1.192374 iso 3 0.991 0.779 0.27900723 -2.173107 -0.231 - 3.331510 - 0.879732 iso 2 - - - - - - 3 0.245 0.262 0.01183894 - 5.795170 0.722 - 11.579889 - 1.278463 iso 3 - - - - - - 3 0.797 1.406 0.1219916 - 16.209567 -2.4101 - 35.32310 - 0.4451613 iso 3 0.364 1.126 0.05538946 - 22.87696 -1.913 - 50.27319 - 0.4670807 iso 3 0.3029 2.0995 0.09873281 - 44.64562 -3.612 - 98.20700 - 0.8361812 iso 3 0.6198 0.351 0.02231799 - 5.524943 0.0747 - 11.428463 - 0.805782 iso 3 0.893 1.918 0.2278456 - 16.138477 -2.8902 - 34.50825 - 0.8666033 iso 3 - - - - - - 3 0.419 2.582 0.1329418 - 50.16366 -4.946 - 110.73575 - 0.4999023 iso 3 0.971 10.669 2.344022 - 48.560042 -21.693 -105.93780 - - 3.183554 + 3 0.978 7.1708 1.799798 - 28.569687 -14.0553 -61.63257 - - 2.113815 + 3 0.986 8.156 2.496074 - 26.65141 -16.194 -57.31508 - - 3.609373 + 3 0.918 2.3904 0.3221650 - 17.7363500 -3.798 - 37.916879 - 0.8008962 iso 3 0.171 -2.932 - 67.97238 - - 0.1264899 7.842 1.604298 - 152.44926 - 3 0.959 3.6084 0.6777867 - 19.210068 -6.223 - 40.910925 - 0.29276604 iso 3 0.973 21.472 4.900244 - 94.08584 -46.649 - 208.09485 - -9.804322 + 3 0.987 5.239 1.637645 - 16.76173 -9.771 -35.38948 - -1.763406 + 3 0.915 -8.936 - 67.399602 - - 1.184853 21.526 4.291695 - 151.510055 - 3 0.998 -3.723 - 6.145561 - - 2.255731 10.134 6.871534 - 15.51998 - 374   Yellow-casqued Hornbills N R2 Slope 95% CI (Slope) Intercept 95% CI (Intercept) Allometry 3 0.974 1.231 0.2841663 - 5.328615 -0.538 - 9.980501 - 1.642139 iso 3 0.191 1.154 0.05035951 - 26.42254 -1.0794 - 59.30034 - 1.462372 iso 3 0.999 0.716 0.4511958 - 1.136589 -0.168 - 1.1364867 - 0.4426897 iso 3 0.9202 1.545 0.2111187 - 11.301346 -2.115 - 24.59434 - 0.9580555 iso 3 3 0.998 1.0268 0.5805497 - 1.816204 -0.159 - 1.978054 - 0.8689505 iso 3 0.0217 0.448 0.0177761 - 11.265825 0.608 - 24.31770 - 1.598321 iso 3 0.139 -0.744 - 17.566645 - - 0.03147 2.564 0.9229883 - 41.32483 - 3 0.885 1.263 0.144853 - 11.01965 -1.217 - 23.69562 - 1.360412 iso 3 0.661 0.413 0.02777045 - 6.136412 0.459 - 12.728816 - 1.345772 iso 3 0.976 0.597 0.1440614 - 2.4754890 0.0664 - 4.261311 - 1.110404 iso 3 0.975 1.916 0.4496570 - 8.162408 -2.8704 - 17.262866 - 0.5076639 iso 3 0.0156 0.764 0.0302468 - 19.288089 -0.00689 - 42.68768 - 1.683267 + 3 0.976 1.0554 0.25306799 - 4.401442 -1.111 - 8.821001 - 0.7370412 + 3 0.999 1.217 0.8358360 - 1.772351 -1.505 - 2.7845 - - 0.626728 iso 3 0.289 0.1802 0.008217152 - 3.950326 0.4095 - 8.277092 - 0.8057071 iso 3 0.644 0.565 0.0371034 - 8.608801 -0.694 - 19.22682 - 0.5227606 iso 3 0.333 0.795 0.03822362 -16.552194 -0.723 - 37.02776 - 1.02118 + 3 0.0229 0.0442 0.001758238 - 1.112963 0.84008 - 1.6223128 - 0.9379553 iso 3 0.858 0.865 0.08938218 - 8.368197 -0.549 - 17.836552 - 1.238215 iso 3 0.00075 1.774 0.0697385 - 45.14209 -2.932 - 102.85375 - 0.9950118 iso 3 0.473 1.984 0.1072608 - 36.70906 -3.629 - 83.63644 - 0.6957793 iso 3 0.993 6.539 2.6347929 - 16.22961 -13.0896 -35.41669 - - 4.093598 + 3 0.964 2.7703 0.5496822 - 13.961716 -4.476 -30.261772 - 0.6401660 iso 3 0.974 4.922 1.138437 - 21.277441 -9.344 -47.02863 - - 0.6274464 + 3 0.995 5.663 2.4568340 - 13.05406 -11.3999 - 28.42879 - - 4.0122880 + 3 0.913 6.162 0.8091679 - 46.922740 -12.773 - 106.687692 - - 0.4399174iso 3 0.978 6.138 1.523719 - 24.729564 -12.298 - 55.13243 - - 1.665105 + 3 0.998 24.866 14.85242 - 41.63177 -56.0041 - 94.63251 - - 32.93167 + 3 0.963 2.185 0.42803276 - 11.1537295 -3.142 - 23.805909 - 0.9065861 iso 3 0.961 1.723 0.3291515 - 9.015245 -1.8058 -18.60840 - 1.404755 iso 3 0.309 1.0527 0.04973908 - 22.28139 -0.365 - 49.27643 - 1.946313 iso       375   Appendix 6.4. Loadings for PCA.   W ith c as qu e W ith ou t c as qu e .6 9 -0 -0 -0 -0 -0 -0 45 .0 2 P C .0 22 79 23 30 .0 16 63 94 84 .0 21 67 93 85 .0 32 05 91 19 .0 23 58 16 02 65 02 1 19 1 -0 -0 -0 -0 -0 -0 . P .1 46 5 01 1C 2 .0 10 25 81 8 .0 05 84 52 6 .0 00 81 39 5 .0 06 55 71 1 .0 09 02 14 4 38 29 99 - 00 - 22 - 32 81 - 57 2 - 0 0 0 0 0 P C . .0 .0 .0 0. 00 40 38 .0 .0 10 3 05 00 10 68 70 61 0 14 78 53 74 9 03 62 01 93 8 07 68 29 13 5 61 0 48 05 36 53 -0 -0 -0 -0 -0 -0 .4 93 5 .0 3 P C .0 27 66 61 36 6 .0 26 57 14 99 4 .0 27 13 85 00 6 .0 29 72 16 30 5 .0 26 24 47 15 4 08 11 28 55 -0 -0 9 0 PC .1 05 3 .0 02 0 .0 08 47 71 44 5 .0 11 16 51 04 0 .0 01 62 74 12 2 0 .0 06 99 36 69 1 0 .0 07 59 35 24 6 81 2 85 6 - 53 -0 PC .0 0. 00 0. 00 76 73 0 .0 3 93 8 a nt d e t 0 .0 00 68 29 15 2 ve rs e t 86 80 41 88 ve rs e t 03 98 ry d ep t p os 0 .0 00 19 97 44 8 S ku ll ( 00 25 31 72 3 os tru m to v en tr .0 00 66 31 37 5 7: T ra ns w id th a t j ug al/ c on ta ct -0 .0 09 11 12 16 -0 .0 04 86 09 48 0 -0 .0 02 22 75 80 9 -0 .0 14 68 37 56 8 0 .0 02 76 12 58 3 0 .0 06 29 03 81 1 8: T ra ns w id th a t p ty er lat ine c on ta ct -0 .0 09 65 79 68 -0 .0 15 58 76 89 0 -0 .0 09 05 08 63 2 -0 .0 29 47 93 02 4 -0 .0 39 99 34 73 0 0 .0 16 65 35 87 5 9: T ra n w id th a t d or sa l po int o f o rb its -0 .0 17 11 11 81 -0 .0 02 20 63 46 8 -0 .0 13 53 93 33 8 - 0. 02 26 75 62 15 0 .0 05 80 54 58 2 0 .0 03 20 69 46 4 10 : L fr om d or sa l p t o f o rb it to v en tra l p t o f o rb it -0 .0 19 64 94 69 -0 .0 03 33 42 73 2 -0 .0 01 05 02 63 1 -0 .0 17 52 98 95 9 0 .0 11 83 10 04 9 0 .0 01 23 71 75 8 11 : L fr om a nt o rb it to p os t o rb it -0 .0 12 66 10 79 -0 .0 01 02 38 01 3 0 .0 00 58 56 45 6 -0 .0 11 05 33 50 0 0 .0 09 39 26 79 4 0 .0 01 61 25 82 3 12 : L fr om a nt ju ga l/m ax illa c on ta ct to p os t q j/q u co nt ac t -0 .0 15 02 73 82 0 .0 00 25 92 47 9 -0 .0 04 51 47 76 4 -0 .0 15 57 01 67 4 0 .0 07 14 56 56 3 0 .0 02 01 79 28 5 13 : T ra ns w id th a t p os t q j/q u co nt ac t -0 .0 13 08 14 84 -0 .0 02 67 17 10 2 -0 .0 10 87 89 29 3 -0 .0 18 70 06 33 9 0 .0 03 51 08 62 1 0 .0 06 12 78 92 6 14 : L ju ga l/m ax illa c on ta ct to p te ry go id /p ala tin e co nt ac t 0 .0 05 53 07 07 0 .0 06 06 90 16 4 0 .0 00 62 61 75 0 0 .0 00 83 10 79 9 0 .0 07 04 19 14 8 0 .0 06 41 52 71 9 15 : q j/q u co nt ac t t o qu /la te ro sp he no id c on ta ct -0 .0 19 83 38 02 -0 .0 05 31 13 73 3 -0 .0 10 04 14 66 5 -0 .0 21 20 15 55 8 0 .0 09 61 95 27 0 0 .0 03 38 23 21 2 16 : w id th o f o cc ip ita l c on dy le -0 .0 19 39 76 85 0 .0 04 57 44 73 6 -0 .0 11 79 49 37 5 -0 .0 22 80 94 26 3 0 .0 11 83 67 09 0 0 .0 19 16 85 68 0 17 : h eig ht o f o cc ip ita l c on dy le -0 .0 19 09 28 78 -0 .0 06 74 32 15 8 -0 .0 01 47 19 18 0 -0 .0 27 06 20 36 2 -0 .0 07 99 83 33 0 0 .0 04 72 68 73 5 18 : B as io cc ip ita l w id th -0 .0 16 25 00 54 0 .0 02 15 36 67 4 -0 .0 08 84 99 96 1 -0 .0 23 37 86 94 1 0 .0 00 44 68 90 1 0 .0 15 66 45 63 5 19 : V er tic al di am et er o f f or am en m ag nu m -0 .0 12 24 24 27 -0 .0 17 10 76 67 8 -0 .0 01 73 44 83 0 -0 .0 20 86 26 21 7 0 .0 11 05 10 99 5 -0 .0 08 15 22 75 4 20 : T ra ns w id th o f s up ra oc cip ita l -0 .0 23 76 88 16 -0 .0 01 25 34 32 3 -0 .0 04 73 75 45 9 -0 .0 25 57 12 79 7 0 .0 07 76 96 24 0 0 .0 10 62 99 92 5 21 : L q j/q u to ju ga l p ro je ct io n -0 .0 29 25 57 49 -0 .0 25 34 81 27 3 -0 .0 12 73 02 53 3 -0 .0 50 44 39 60 2 -0 .0 04 98 57 04 8 -0 .0 32 28 93 42 1 22 : H eig ht o f j ug al at p ro je ct io n -0 .0 47 38 56 13 -0 .0 14 62 24 42 8 -0 .0 24 03 68 87 3 -0 .0 63 33 91 92 5 -0 .0 07 30 63 82 9 -0 .0 04 80 29 51 0 23 : T ot al ca sq ue L -0 .1 27 13 03 05 0 .0 44 34 43 33 8 0 .0 25 42 91 72 6 24 : B as al ca sq ue L -0 .0 70 06 66 93 0 .0 50 79 43 58 7 0 .0 04 98 60 63 8 25 : L fr om c as qu e co nt ac t w ith ro str um to p os te ro do rs al po int -0 .0 99 69 19 24 0 .0 41 16 99 56 4 0 .0 04 85 39 99 8 26 : C as qu e w id th d or sa l t o lac hr ym al su tu re -0 .0 98 25 71 84 - 0. 00 69 18 83 03 -0 .0 02 74 24 44 1 27 : C as qu e w id th d or sa l t o an t c on ta ct w ith ro str um -0 .2 25 75 58 47 -0 .1 53 10 80 68 2 0 .0 61 58 15 71 4 28 : L m ax illa /ju ga l v en tra l c on ta ct to d or sa l s ur fa ce o f c as qu e -0 .1 04 84 41 50 -0 .0 14 11 16 48 2 0 .0 15 65 80 78 5 29 : H o f c as qu e at a nt c on ta ct w ith ro str um -0 .3 71 12 45 83 0 .0 76 32 89 96 8 -0 .0 34 29 54 36 2 30 : A nt er or c on ta ct o f c as qu e w ith ro str um to m ax illa /ju ga l c on ta ct 05 43 59 57 2 0 .0 31 13 10 07 2 0 .0 03 15 01 23 1 31 : L a nt ro str um to a nt c as qu e -0 .0 35 27 26 98 -0 .0 88 48 82 88 8 -0 .0 83 50 37 15 7 32 : L a nt ro str um to a nt b as e of c as qu e -0 .0 04 35 27 04 -0 .0 61 95 85 56 2 -0 .0 30 57 09 84 0 R 2 1: L 2: T 3: T 4: D 5: B 6: A fr om ra ns ra ns en ta as al nt r nt ar y w id th a w id th a h at Le ng th o po st p os t r p os t c t c on ro str u al ju ga m ax illa go id /p a m os t rp p on ta ta ct m to l/m ac t o f o cc xil la d e ip ita c on nt ar i l c o ta ct es nd yle ) 376     mark data for hornbillsAppendix 6.5 TPS land 000 476.00000 0 59.00000 572.00000 0 600.00000 620.tif 867.00000 551.00000 LM=31 43.00000 181.00000 230.00000 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A SMA results. N R2 Slope 95% CI (Slope) Intercept 95% CI (Intercept) Allometry Postorbital Horn Core Length 29 0.854 1.79 1.541042 - 2.082233 -1.85 - 2.416185 - -1.359890 + 3 Postorbital Horn Cores 13 0.806 1.91 1.434036 - 2.551108 -2.106 - 3.338376 - -1.1816456 + 7 0.936 1.75 1.309455 - 2.325455 -1.70095 U M3 Postorbital Horn Cores - 2.814375 - - 0.8654290 + 2.071 0.356820 - 12.014501 -2.45 - 22.68463 - 1.041392 iso + 78769 + + iso 21 0.854 1.74 1.449423 - 2.087715 -2.53 - 3.232410 - -1.944014 + 10 0.938 1.63 1.332094 - 1.994709 -2.296 - 3.022652 - -1.702193 + 5 0.828 3.48 1.7235819 - 7.034222 -6.068 13.22749 - -2.52417161 + 3 0.934 3.45 .5164384 - 23.0677879 -5.99 L3 Postorbital Horn Cores 4 0.144 Epinasal Length 21 0.351 2.897 1.9856053 - 4.226378 -4.67 7.347761 - -2.83013783 U3 Epinasals 11 0.94 2.5 2.079996 - 3.004298 -3.71525 - 4.720554 - -2.8 M3 Epinasals 4 0.634 9.46 2.404255 - 37.243693 -17.91 - 73.72187 - - 3.730746 L3 Epinasals 3 0.286 3.49 0.1619794 - 74.99595 -6.10008 - 151.67654 - 0.6654611 Epinasal Width U3 Epinasal W M3 Epinasal W L3 Epinasal W 45.927718 - -0.01918698 iso osal Length 4 1 1.304 1.231940 - 1.380954 -0.734 Squamosal Length 18 0.944 1.48 1.305993 - 1.677828 -1.062 - 1.443195 - -0.7253657 + U3 Squamosal Length 10 0.952 1.54 1.285887 - 1.884766 -1.19 - 1.769087 - -.7088368 + M3 Squam -0.8814831 - -0.5944162 + 4505 iso 1.195 1.0414638 - 1.370671 -0.77468 - -1.113372 - -.4794569 + 13 1.25 .9838062 - 1.583342 -0.888 - -1.533638 - -.3794041 iso 0.5827284 + -.9236849 + 6 0.934 1.62 1.1393906 - 2.298213 -1.25 - 2.499724 - -.36862918 + 4 0.992 1.45 1.111020 - 1.896759 -0.934 L3 Squamosal Length 3 0.829 1.55 .1086925 - 22.13871 -1.15 - 43.06273 - 1.78 Squamosal Width 17 0.937 U3 Squamosal Width 10 0.9 M3 Squamosal Width 4 1 1.14 1.097249 - 1.189055 -0.669 0.7595876 - - Parietal Width 15 0.92 1.74 1.500712 - 2.143750 -1.44 - 2.052190 - U3 Parietal Width M3 Parietal Width - 1.790974 - - 0.2772921 + iso + gth 6 0.912 1.46 .9817222 - 2.185177 -1.062 - 2.387255 - - .1740813 iso iso 824 - 1.713063 -1.29 L3 Parietal Width 3 0.615 2.63 0.1662414 - 41.64271 -3.18 - 82.59265 - 1.842364 Parietal Length 13 0.916 1.38 1.140594 - 1.671828 -0.8796 - 1.429746 - - .4252368 U3 Parietal Len M3 Parietal Length 3 0.999 1.088 .6805902 - 1.737647 -0.341 - 1.567661 - .4260860 Rostrum Length 12 0.886 1.35 1.0683 - 2.016255 - -0.7214955 + 074 - 1.567154 -1.747 1.746645 - -0.13194623 iso 1.177393 - 1.560808 -1.1105 U3 Rostrum Length 5 0.961 1.097 Nasal Length 13 0.955 1.356 .7683 - 1.514655 - - .07593756 + 3 Nasal Length 9 0.979 1.376 1.209368 - 1.565013 -1.136 - 1.510563 - - .8057115 +U NPP Width 13 0.578 1.28 0.8436684 - 1.949228 -1.82- 3.127175 66 1.14 0.5126150 - 2.540603 -1.47 4.183829 - - - 0.9553221 iso - 0.24381287 + 3.059 0.957202 - 9.775215 -5.402 - 18.870523 - -1.187859 iso 0.005 .003725043 - .006017333 0.70297 .5859700 - - .7950254 - 8 0.005 .002837332 - .008987055 0.695078 .3554069 - .8859333 - 3 0.911 0.006 .0007332934 - .04359110 0.627 - 1.9729713 - .9639312 - 0.6016 0.5302731 - .6622520 - 0.578 .4345236 - .6836675 - 76 0.586 - .7260424 - 1.5555718 - 55 -0.889 - 1.075481 - -.7160251 + 1.171983 - 1.400009 -1.0071 - 1.238237 - - .7956506 + 1.883259 - -.1452552 iso U3 NPP Width 5 0.7 M3 NPP Width 5 0.385 Orbit Height 15 0.837 U3 Orbit Height 6 0.80 M3 Orbit Height Orbit Width 15 0.927 0.004 .003804853 - .005252000 429651U3 Orbit Width 6 0.953 0.005 .003541640 - .006 M3 Orbit Width 3 0.966 0.005 .001018971 - .024098 Transv. Width at Orbit 14 0.985 1.22 1.137023 - 1.3274 U3 Transv. Width at Orbit 10 0.988 1.28 M3 Transv. Width at Orbit 4 0.985 1.208 .8383291 - 1.740511 -0.857 - 424   Appendix 7.2. Descriptions of linear measurements and geometric morphometric landmarks. Linear Measurements contact to anteroventral projection) projection to inflection point of squamosal along . Epinasal length in and anteriormost r surface of cornoid process to anteriormost point) o ventralmost point of jugal) contact with frontal to anterior contact with nteriormost point to nasal process of the premaxilla) cess of the premaxilla m Maiorino et al. 2013) 1. Postorbital Horn Length 2. Squamosal length (parietal-squamosal 3. Squamosal width (anteroventral medial margin 4 5. Epinasal width 6. Parietal width 7. Parietal length (shortest distance between midline of posterior marg point) 8. Dentary length (posterio 9. Occipital condyle width 10. Occipital condyle height 11. Jugal length (ventralmost point of orbit t 12. Orbit height 13. Orbit width 14. Nasal length (anteriormost point of pinasal) e 15. Rostrum length (a 16. Width of nasal pro 17. Transverse width of skull at orbits Landmarks - skull in lateral view (modifed fro ormot point of orbit al ure point of anterior margin of jugal premaxilla anterolateral process of nasal argin of narial opening between postorbital horn core and margin of the orbit t of postorbital horn core otch al 6. Contact of squamosal with parietal 1. Dorsalmost point of orbit 2. Anteriormost point of orbit . Posteri3 4. Ventral tip of jug 5. Maximum curvat 6. Anteriormost contact of premaxilla and maxilla 7. Dorsalmost contact point of rostral and 8. Anteroventralmost point of epinasal 9. Ventralmost posterior margin of 0. Posteriormost point of lateral m1 11. Inflection point 12. Distalmost poin 13. Tip of epinasal 14. Dorsalmost inflection point of otic n 15. Anteroventral projection of squamos 1 425   7. Point of posteriormost contact of rostral with premaxilla along the oral margin 18.Posteriormost point of epinasal 1 ost po Lan asal 1 9. Ventralm int of orbit dmarks -epin 1. Anteroventral most point of epinasal 2. Tip of epinasal 3. P point of Lan torbital osteriormost epinasal dmarks -pos horn 1. D oint of orb 2 betw core a argi rbi 3. Tip of postorbital horn Lan amosal (mod om Maiorino l. 201 orsalmost p it . Inflection point een postorbtial horn nd m n of o t dmarks - squ ified fr et a 3) 1. D flection point of otic notch 2 roj 3. Midpoint between landmarks 2 and 4, along lateral marg 4. Posteriormost contact with parietal Lan ietal orsalmost in . Anteroventral p ection in dmarks - par 1. Right posteriormos 2. Midpoint of posterior m of crenu if p t) 3. Left posteriormost contact with squamosal 4. Anteriormost point of parietal (posterior margin of frontoparietal fontanelle - if pre L t contact with squamosal argin (at peak lation resen sent) andmarks - nasal 1. Posterior margin of anterolateral process at ventralmost point 2. Posteriormost point of narial opening 3. Anteroventralmost contact with epinasal 4. Posterior contact with epinasal Landmarks - NPP 1. Base of contact with anterolateral process of nasal 2. Posteriormost point of dorsal margin 3. Anteriormost point of dorsal margin 426   ppendix 7.3 Linear Measurments used in PCA and cluster analysesA Specimen Locality Name Ontog FHC Unit Level PO SQL MOR 1122 I toro wer 60 R 1120 Getaway Trike sub pper 49 3 R 3081 JRH-008 toro pper 50 R 2982 3 A os sub 3 wer 50 R 3010 Golden Goose ya 3 wer 47 R 2569 Afternoon Delight juv 3 wer 13 6 R 3064 Little Horny Devil juv 3 ppe 25 R 3027 Yo rike sub 3 ppe 90 5 113697 Ruben's Triceratops ya 3 pper 3.6 5 R 3045 Cliffhanger sub 3 pper 8.3 5 R 2924 Lon ike sub 3 wer 6 R 2702 ya 3 wer 55 R 2574 Quit ime sub 3 wer 51 UCMP 136092 Russel Tricerat Toro I L3 lo 120 MO L3 u 80. MO L3 u 108 MO mig M lo NA MO M lo NA MO M lo 23. MO M u r NA MO shi's T M u r 84. UCMP M u 8 85. MO M u 5 76. MO 's Tr U lo NA 75. MO BAB U lo 100 MO tin' T U lo NA l Basin ops ya 3 wer 44 MOR 1110 juv 3 wer 50 8 154452 baby U3 lower .15 R 2951 DFJuvieTrike3 juv 3 we 8.6 R 1625 Haxby Trike ya 3 wer 2 R 2923 Joe's Half Day Trike ya 3 pper 55 R 2999 Situ But Sad sub 3 pper 45 R 004 MORT ya 3 pper U lo 88 SG5 U lo 57. UCMP 4 11 MO U lo r 2 39 MO U lo NA 87. MO U u NA MO U u 74 MO U u NA 93 MOR 1199 Sier rike juv D BD 17 5 ra T TB T 33. MOR 1604 Baker Trike ya D BD 0.5 TB T 6 NA MOR 981 I toro D BD 3.5 UCMP 136306 juv U3 TBD 38 47 Toro TB T 8 NA 427   SQW Epinasal L Parietal W Parietal L Dentary L OC Width OC Height Jugal L 5 1 .4 5 NA 1 11.8 42.6 .5 1 NA 8 8.5 35 NA 1 4 NA 9.1 NA NA A 50.5 NA NA 35 NA A 50 NA NA NA 15 N 6 NA NA NA 16 NA N A NA NA NA 20.4 45. 0 4 56.5 11.1 11.3 47 .4 NA 10.9 39 41.5 0 51.5 N NA 36 42 2 A 8 NA 9.3 9.1 NA 46 A 60 NA NA NA NA A 51 NA NA NA 4 A NA NA NA 41 3 8 5 9 NA 7.4 7.4 30 8 N 8 2 15.9 2.9 2.5 25. 4 .5 2 31 6.2 6.2 44 A NA 11.9 11.2 NA NA A 5 NA NA NA NA 39.5 N 3 49.5 9.1 9.1 NA 4 28 6 4 59 NA NA 22 N 8 27 4.7 4.9 NA 2 A 54.8 NA NA 41 NA 0 6 NA NA NA NA 28.5 7 .5 6 NA 6 NA NA                   5 2 197 12 1.7 48.2 5.8 101 7 .9 3.9 17 NA 9.5 10 N NA 6.5 N NA A 26 2 A N NA 5 NA 10 7 38.8 24 118 NA 11.5 16 92 7 A 2.5 N 6 30 N NA 21 N NA 7 NA N NA 3 .3 67.6 4 A 13.0 1 11.5 8 .5 49 4 22.9 30 N NA 29 N 72. A 83 7 6 .5 10 7 42.5 A 39 3 17.8 6.5 N NA 10 21 11 59 4 .8   428   Orbit H Orbit W Nasal L Rostrum L NPP W Epinasal W Transverse width at orbit 15.9 13 48 NA NA 17.4 47.3 17 11.3 32.3 35.6 NA NA NA NA NA NA NA NA NA 12.4 8 NA NA .2 43.5 37.4 A NA 41 A NA 39.8 A 41 NA NA NA .1 NA 1.4 NA NA .2 28.3 25.4 5.4 NA 8.1 19.9 19.8 NA NA 41.6 33.5 17.5 15 55.75 13 44.6 9.1 6.5 14.8 10.3 2.3 NA 17.1 18.6 14.5 46.5 NA 18 15.1 NA NA NA NA NA NA NA 5.2 NA 28 3.7 6.9 NA NA 10.4 NA NA NA 3.7 6.5 NA NA NA NA 8.6 6.5 5.8 NA NA NA 10.1 7. NA NA NA 16.8 13 27.5 5.5 10.4 NA N NA 7.25 11.33 NA N 23 7 8.5 NA N NA NA 10 NA NA NA 6.54 13 NA NA 39 22.5 7 9.1 17.9 1 NA NA NA 16.2 8 NA 4.82 5.4 6.1 NA NA NA 11.7 7.9 NA 14.5 3.5 3.5 NA 34 NA 13.5 16.8 14.4 51.5 NA NA 38.8 NA NA 13 NA NA NA 33 NA 24 NA 12 47 NA 13 429   ponent axes. Appendix 7.4 Loadings of linear measurements on first three principal com With horns and frill R2 .8213 .1270 .0315 PC1 PC2 PC3___ 1:Postorbital horn length -0.25061934 0.0112385407 0.068401952 2: Squamosal length -0.21579289 0.0195247837 -0.011331825 3: Squamosal width -0.17440762 0.0253308072 0.002804012 4: Epinasal length -0.08892715 -0.2454997802 0.012142261 5: Epinasal width -0.10804655 -0.1054034502 -0.063401946 6: Parietal width -0.23691068 0.0367228557 -0.035503524 7: Parietal length -0.18801826 0.0393142038 -0.018168360 8: Dentary length -0.13486352 -0.0055850679 0.005736973 9: occipital condyle width -0.13638715 -0.0097075489 0.010888277 10: occipital condyle height -0.14347083 -0.0007932122 0.013228710 11: Jugal length -0.13710424 0.0022172003 0.001888082 12: Orbit Height -0.11222536 0.0029714587 0.024526850 13: Orbit Width -0.10618247 -0.0221230388 0.003936851 14: Nasal length -0.1257615 -0.0695726647 -0.008153845 15: Rostrum length -0.16315613 -0.0192194741 -0.052794904 16: NPP width -0.06567606 -0.0929292957 0.049044815 17: Transverse width at orbit -0.16913063 0.0056361606 0.004833355 Without horns and frill .9212 .04194 .0000 PC1 PC2 PC3___ 8: Dentary length -0.1242606 -0.0007939794 1.094358e-45 9: occipital condyle width -0.1347737 -0.0067361378 -1.203298e-46 10: occipital condyle height - 0.1421307 -0.0145393267 -5.087747E-46 11: Jugal length -0.1269647 -0.0138449770 9.110301e-46 12: Orbit Height -0.1060686 -0.0254960611 3.153692e-46 13: Orbit Width -0.1007723 0.0007658239 4.505947e-46 14: Nasal length -0.1382792 0.0490506481 -2.786528e-46 15: Rostrum length -0.1081140 0.0614702608 3.817759e-45 16: NPP width -0.1259680 0.0283308380 -5.707123e-45 17: Transverse width at orbit -0.1586786 -0.0210058656 5.269606e-46 430   ppendix 7.5 Loadings for GM PCA of Triceratops skulls in lateral viewA    R2          .3412                       .2029                  .16587           .124661           .06223                   PC1                         PC2                     PC3                 PC4                       PC5            [1,] ‐0.1529929528  0.049443217 ‐0.2141167621 ‐0.0197546488 ‐0.109135985   [2,]  0.0294691721 ‐0.097819026  0.0383645326  0.1381143968 ‐0.020332020   [3,] ‐0.1384006143 ‐0.021439861 ‐0.2078595827  0.0005829250 ‐0.085895978   [4,]  0.0392633231 ‐0.046333403  0.0704178409  0.1183063307 ‐0.038138423   [5,] ‐0.1318849191  0.010550135 ‐0.1489647020 ‐0.0725308197 ‐0.059383696   [6,]  0.0354617253 ‐0.092076135  0.0696711757  0.1589514082 ‐0.012899238   [7,] ‐0.0984762237  0.044763262  0.0436028526 ‐0.1254165753  0.014096718   [8,]  0.0017760943  0.040567842  0.1569177415  0.0900433577 ‐0.085422695   [9,] ‐0.0494377089  0.053233221  0.0517572996 ‐0.0464376453 ‐0.127176172  [10,]  0.0221166558 ‐0.067224966  0.1251497158  0.0905687101 ‐0.064063662  [11,]  0.0925850098 ‐0.152105518  0.1547799255  0.1022324116 ‐0.159493272  [12,] ‐0.0085519923 ‐0.177831590  0.1638080016 ‐0.0106017722 ‐0.083265863  [13,]  0.1112109896 ‐0.123267439  0.0808069458  0.0354502253  0.072887723  [14,] ‐0.1521937028 ‐0.080947763  0.0084046132 ‐0.1575950966 ‐0.075882534  [15,]  0.0479194178 ‐0.098457120 ‐0.0003265912  0.0537308783  0.113444274  [16,] ‐0.1615378648 ‐0.042533625  0.0246298997 ‐0.0912928530  0.182158192  [17,]  0.0719588953 ‐0.133493596  0.0105716438  0.0735172779  0.054202127  [18,] ‐0.0674143285 ‐0.085160887  0.1012589804 ‐0.0805068614 ‐0.008156905  [19,] ‐0.0742045201 ‐0.051354499 ‐0.0971009066  0.1280904130 ‐0.102543636  [20,] ‐0.0798545975 ‐0.003098620  0.0782177958  0.1655952828 ‐0.003793241  [21,] ‐0.1135557848  0.017459962 ‐0.1765835392 ‐0.0335763078 ‐0.099973983  [22,]  0.0532076855 ‐0.063974367 ‐0.0152625478  0.1907667366 ‐0.059503725  [23,]  0.2884130012  0.657821310  0.2531122982 ‐0.0562927124 ‐0.163621869  [24,]  0.4660773140 ‐0.046356482 ‐0.0252482375 ‐0.0680238179  0.240371508  [25,] ‐0.0714868263  0.178686169  0.0017974534  0.0731261653  0.729974381  [26,] ‐0.2773467216  0.161010285 ‐0.0571751701  0.0445169654  0.010772050  [27,] ‐0.0708529256  0.046598264 ‐0.0563319891 ‐0.2316331817 ‐0.058292255  [28,]  0.0875774593  0.041609729  0.1908727355 ‐0.0910247208  0.013063877  [29,]  0.0666740907 ‐0.127250631 ‐0.0481453370 ‐0.2499923250  0.062940245  [30,]  0.0623701846  0.044874905 ‐0.0202317633 ‐0.3549940340 ‐0.083089155  [31,] ‐0.1738435648  0.274004562  0.2794523331  0.1774192119 ‐0.060100703  [32,] ‐0.2463975770  0.213415449 ‐0.0016446495  0.3507843940  0.126607878  [33,]  0.1910742779 ‐0.082083394  0.1107215484  0.1591457171 ‐0.203118213  [34,]  0.0005771591  0.003647273 ‐0.0181249873 ‐0.0351712302 ‐0.015865233  [35,]  0.0303744241  0.091845642 ‐0.0508984307  0.0786069203  0.059505046  [36,] ‐0.0274978499 ‐0.029523254  0.0233626532 ‐0.0226323650 ‐0.049236848  [37,] ‐0.0328817378  0.004019105 ‐0.0168716652 ‐0.0101548365 ‐0.044381419  [38,] ‐0.0440330437 ‐0.026669446 ‐0.0074119925 ‐0.0080999992 ‐0.025495649  431                 [39,] 0.0562209670 0.016938180 -0.0567833095 0.0516696092 -0.019039416 [40,] -0.0828060874 0.009790761 0.0612304206 -0.0620223693 -0.021148998 [41,] 0.0423212510 -0.031903186 -0.0882260033 0.0322834582 -0.037195411 [42,] -0.0617888092 0.038074608 0.0621719196 -0.0217570570 0.012076254 [43,] -0.0438251320 -0.071834385 -0.0862231681 0.0639528813 -0.059110404 [44,] -0.0060188081 0.007213677 0.0120632533 -0.0009323378 -0.013999530 [45,] -0.0171151196 0.017975081 -0.0595487751 0.0512346682 -0.069464281 [46,] 0.0477803308 -0.071798678 -0.2370364435 0.1580296920 -0.112348902 [47,] 0.0120134265 0.041328598 -0.1593375649 0.0730201493 -0.004736097 [48,] 0.1105926768 0.071802806 -0.3265619231 0.1363568780 -0.142123941 [49,] 0.0265857645 0.051764607 -0.0340862637 0.0138773522 -0.022274334 [50,] 0.2229173228 0.092514682 -0.3218645116 0.0941099719 -0.008041551 [51,] 0.0039696563 0.026854096 -0.0244573449 0.0024584634 -0.007519658 [52,] 0.3379526081 0.053879923 -0.1771397571 -0.0024729544 0.116373589 [53,] 0.0301106763 0.059777094 -0.0069732288 -0.0820172944 0.036181374 [54,] -0.0441054592 0.105969188 -0.0839177029 -0.2009957524 -0.017990277 [55,] 0.0130914545 -0.242104896 0.1721176229 0.0534455499 0.056114625 [56,] -0.0277261736 0.140432848 -0.0619007469 -0.0180448875 0.009961399 [57,] -0.0370873723 -0.124849154 0.2297690556 0.0504209295 0.042051965 [58,] -0.0232569929 0.008166115 0.0061115207 0.0039281416 0.042698203 [59,] -0.0078891569 -0.023058108 0.1351134478 0.0091458379 -0.039897412 [60,] -0.0299581484 0.023744005 -0.1228186580 0.0183163346 0.132845318 [61,] -0.0040226627 -0.077089591 0.0209714063 -0.0722945215 0.051624413 [62,] -0.0166009181 -0.042025178 0.0303576791 0.0396024173 -0.014444617 [63,] 0.0836265956 -0.116628558 0.0294369520 0.0556720368 0.098454509 [64,] -0.1535628317 -0.071271469 0.0206089532 -0.1272594024 0.040073673 [65,] 0.0711181580 -0.108158775 0.0083127042 0.0572459255 0.108678031 [66,] -0.1590545913 -0.061919813 0.0220601371 -0.1046382674 0.111826827 [67,] -0.0362923755 0.010549680 -0.0205413426 -0.1894855170 -0.003966292 [68,] 0.0776494346 0.036779747 0.1540068289 -0.1228521922 -0.030858670 [69,] 0.0149815411 -0.068533473 -0.0289469825 -0.2067426216 0.036165053 [70,] 0.0749173519 0.013070859 0.0566526927 -0.2170730468 -0.052727090   432   Appendix 7.6. Loadings for GM PCA of Triceratops skulls in lateral view when horns nd frill are removed. R2 0.29619 0.56716 0.7146 0.83653 0.9094 PC1 PC2 PC3 PC4 PC5 a [1,] -0.180446848 -0.1566603977 0.155225163 0.2151579475 0.014531233 [2,] 0.236099600 -0.3443810999 0.020792122 -0.0085682852 -0.177593131 [3,] -0.179850547 -0.0946072523 0.262578835 0.1552506319 -0.017238587 [4,] 0.193767510 -0.2257810323 -0.125653958 -0.0022081389 -0.023176047 [5,] -0.002889761 -0.0353858553 0.064696876 0.0863662238 -0.066179985 [6,] 0.100136857 -0.3110139814 -0.018471267 -0.1059692194 -0.072375539 [7,] -0.027276294 0.4451802169 -0.299650338 -0.2074026778 -0.291524499 [8,] -0.526956987 0.3095363061 0.036809031 -0.0144533746 -0.038907872 [9,] 0.121026023 0.3945463087 -0.075160269 0.0740594908 0.121260503 [10,] -0.100447874 0.0002133947 -0.002269010 0.1120934417 -0.054853552 [11,] 0.248916443 0.0316994461 0.170724662 -0.5867841584 0.355476664 [12,] 0.125907409 0.1099378741 0.211652998 -0.1110265274 0.081223242 3,] 0.083340790 0.0153304920 -0.090993711 -0.1372151967 -0.110542536 4,] -0.126590451 0.0860568376 0.253882752 -0.3271077192 -0.216536289 5,] -0.084952192 -0.0909114125 -0.270646757 0.1226557281 -0.065878801 6,] -0.082901305 -0.0029317458 -0.324124094 -0.0151019490 -0.016166685 7,] 0.037968206 -0.1165184830 -0.117662026 -0.0445250964 -0.023732094 8,] 0.218582973 -0.0007798965 -0.135565781 -0.0119640491 0.112059456 9,] -0.327227640 -0.1603980149 0.210349744 -0.1420966034 0.338261931 0,] -0.080373057 0.0203179960 -0.122426995 0.2707937354 0.445957465 [21,] 0.418918815 0.2424723746 0.329506388 0.4127184363 0.022858960 [22,] 0.138659010 0.1728225029 0.292285693 0.1200219038 -0.384373050 [1 [1 [1 [1 [1 [1 [1 [2 433   [23,] -0.001658613 -0.0351337396 0.116664904 0.0504098206 -0.004246833 383 -0.1511922116 0.147881759 0.0818784825 -0.185493619 0.005833968 [26,] 0.055502263 0.0517980177 -0.024582813 -0.0386798984 0.013698828 [27,] -0.047912898 -0.0805815079 0.075151560 -0.0851900927 -0.076941584 [28,] 0.062292389 0.1388677946 -0.143609357 0.1330487201 0.171324102 [29,] -0.001592227 -0.0074810289 -0.003981919 0.0009006275 0.009649098 [30,] 0.011726760 0.0698550460 -0.016316751 0.1072613308 0.312144455 [31,] 0.067256700 -0.0610416360 -0.157430667 -0.0314994090 -0.041432037 [32,] -0.021197212 0.0278145347 0.036580448 -0.0747479967 0.004274415 97522689 -0.073200644 765357782 0.013834566 965414091 -0.085286821 387346784 0.014959253   [24,] -0.162623 [25,] -0.114257987 -0.0846981493 0.034009777 -0.0090993502 - [33,] 0.021096318 -0.0929690348 -0.175867460 0.02 [34,] -0.012333852 0.0335859467 -0.007525288 -0.0 [35,] -0.030458288 -0.1128423260 -0.227514762 0.0 [36,] -0.029250649 0.0152737165 -0.079339489 -0.0                                   434   xamined in analyses. Note that images from the literature were used for the epinasal and parietal of UCMP 136306 (Goodwin tcher et al., 1907). Appendix 7.7. Loadings for individual elements e and Horner, 2014) and the nasal of YPM 1820 (Ha Nasal Horns R2 .7944 .12958 .03032 2 PC3 1,] 0.438506390 -0.1545222177 0.26146383 6 PC1 PC [ [2,] -0.160890976 -0.5030279182 0.1071735 [3,] -0.091838705 0.4880836897 -0.12942348 [4,] 0.485298629 0.1446048654 -0.43614374 [5,] -0.194615736 -0.5063977180 -0.36657373 [6,] -0.417117465 0.2515533609 -0.23935157 [7,] 0.282513281 -0.0991351093 -0.05157357 [8,] 0.003983067 -0.0124476359 -0.11321789 [9,] 0.135431307 -0.0308061454 -0.20709894 [10,] 0.026422993 -0.0117477175 -0.04330402 [11,] -0.018993533 0.0881622579 -0.25212256 [12,] 0.070046551 -0.0624418406 0.01710979 [13,] -0.161497994 0.1595162998 -0.03242164 [14,] 0.162828955 -0.1341495335 -0.02260312 [15,] 0.023469807 0.1409491188 0.16924108 [16,] 0.178918899 0.1887027817 0.26127199 [17,] -0.072132169 0.0358444801 0.32802344 [18,] 0.009260411 0.1131131669 0.26491605 [19,] -0.144078273 -0.0469080661 0.24466334 435   640557 0.24204238 [20,] -0.117708063 0.0264 [21,] -0.196764374 -0.0747865898 0.03582221 [22,] -0.241042999 -0.0006235849 -0.03789344 2. Postorbital Horn Cores R2 .8015 .11153 .05820 PC1 PC2 PC3 1 0.1627344748 0.332557828 [1,] 0.43768983 0.6912382631 -0.183724321 [2,] 0.29583144 -0.3056952249 -0.653987537 [3,] 0.17759802 -0.4772189857 0.087332911 [4,] 0.1605254 [5,] 0.42030026 0.0009804044 0.279182849 [6,] 0.22131754 -0.2765292261 0.035427853 [7,] 0.02147870 -0.1695459645 0.210009837 [8,] 0.03117921 -0.0035052627 0.178567870 [9,] -0.09873946 -0.1085953828 0.158959713 [10,] -0.05270590 0.0409332485 0.186930758 [11,] -0.19047297 -0.0428128582 0.097492741 [12,] -0.12658823 0.0767263185 0.171434544 [13,] -0.24496834 0.0131000342 0.004097226 [14,] -0.17776793 0.0806971262 0.090536266 [15,] -0.25582570 0.0200031024 -0.087412148 [16,] -0.19614334 0.0847872734 -0.014748042 436   Appendix 7.7 (Continued) [17,] -0.22394047 0.0440122583 -0.161503875 [18,] -0.17115527 0.1084414199 -0.084639637 [19,] -0.16635712 0.0406256071 -0.192092352 [20,] -0.11202185 0.0814300459 -0.124135403 [21,] -0.08706041 -0.0031754867 -0.179442898 [22,] -0.03504037 0.0434171038 -0.117785917 [23,] 0.03113121 -0.0056248268 -0.098159363 [24,] 0.05469265 0.0059703788 -0.047161005 [25,] 0.17916644 -0.0029861647 0.065259681 [26,] 0.10787663 -0.0994076763 0.047002423 3. Squamosals R2 .70093 .12683 .06865 PC1 PC2 PC3 [1,] -0.25150983 -0.624300668 0.381447976 [2,] 0.45161471 -0.251970573 -0.549464020 [3,] -0.08499859 0.250563396 -0.291498837 [4,] 0.23743446 0.070019170 0.300085606 [5,] 0.17523365 0.071548661 0.100073909 [6,] -0.11253410 -0.007065744 -0.080040848 [7,] -0.34567964 0.008267374 -0.147048785 [8,] 0.07830211 -0.157511620 0.138000854 [9,] -0.01513484 -0.111266000 0.023798894 [10,] 0.15040510 -0.359857883 -0.045322753 437   36084 0.025204010 -0.037616898 03 [11,] 0.02673223 -0.089885449 -0.011438930 [12,] 0.09936066 -0.132357307 0.029191906 [13,] -0.05107831 0.072458271 -0.070762575 [14,] 0.11813056 0.237637176 0.164445201 [15,] -0.03039095 -0.006604086 -0.110221952 [16,] 0.01644018 0.284926675 0.156485919 [17,] 0.03320191 0.024208197 -0.139767758 [18,] -0.07268594 0.221094362 0.163928832 [19,] 0.06370553 0.027829602 -0.141567522 [20,] -0.10608953 0.147531917 0.140631884 [21,] 0.09947865 0.041248617 -0.060706242 [22,] -0.13498080 0.093519509 -0.023382789 [23,] 0.13225626 0.037403321 -0.023070609 [24,] -0.16800555 0.079623708 -0.041834342 [25,] 0.155 [26,] -0.17658574 0.057730925 -0.0234645 [27,] 0.16689830 0.049314106 0.059766980 [28,] -0.16658556 0.007451813 -0.067796939 [29,] 0.17779418 0.045011419 0.103693225 [30,] -0.14731594 0.016460774 -0.110402945 [31,] 0.13777761 0.031669673 0.157944342 [32,] -0.10257522 -0.018971023 -0.113666954 [33,] 0.13279849 0.040559348 0.177602423 [34,] -0.06929338 -0.021469012 -0.093295468 438   3613476 -0.067162582 -0.028780192 5 [35,] 0.09104674 0.097544981 0.089420848 [36,] -0.0 [37,] 0.04145696 0.039774822 0.10315712 [38,] -0.00211759 -0.040951298 -0.010728716 [39,] -0.01345264 0.013028040 0.073701704 [40,] 0.03232097 -0.021166703 0.001093049 [41,] -0.07602211 0.061050861 -0.038445179 [42,] 0.04487072 -0.041542291 0.038112002 [43,] -0.13400897 0.025040977 -0.080458678 [44,] 0.05546289 -0.021850685 0.049044420 [45,] -0.19541824 -0.079194604 -0.057100892 [46,] 0.03650260 -0.028106976 0.018362266 [47,] -0.23604723 -0.050474869 -0.060902568 [48,] -0.02594086 -0.046012333 -0.011201469 4. Parietal R2 .81010 .09525 .05701 PC1 PC2 PC3 [1,] 0.4392783875 -0.26889126 -0.42258136 [2,] 0.2996824544 0.35094760 0.19499931 [3,] -0.0007023885 0.09803984 0.46061291 [4,] -0.0001614155 -0.79772297 0.09215806 [5,] -0.4178436526 0.13861097 -0.51475220 [6,] 0.3489101288 0.36213741 -0.26457623 [7,] -0.0207323464 0.03224044 0.47672065 439   [8,] -0.6484311677 0.08463796 -0.02258114 5. Nasal R2 .6200 .25315 .05777 PC1 PC2 PC3 8,] 0.546645711 0.070174255 0.39130570 9,] -0.006132087 -0.106520815 0.09031442 0,] -0.098256083 0.148433874 -0.01007480 1,] -0.133314260 0.133273649 -0.04990545 2,] 0.027554140 -0.096872500 0.09762223 3,] -0.107792628 0.118377594 -0.02203917 4,] 0.058786712 -0.213911870 0.14002842 5,] -0.076793961 0.014748485 0.01540857 6,] -0.004071039 -0.092835427 -0.04820591 . NPP [1,] 0.005804609 0.019870602 0.62865523 [2,] -0.363579306 0.620990211 -0.04572734 [3,] -0.182930911 -0.001536377 -0.14843142 [4,] 0.123164192 0.195171964 -0.33951094 [5,] -0.110866690 -0.206566322 -0.03021705 [6,] -0.290244327 -0.631150508 -0.18543737 [7,] 0.612025928 0.028353185 -0.48378513 [ [ [1 [1 [1 [1 [1 [1 [1 6 2 .5252 .3426 .09639 PC1 PC2 PC3 1,] -0.57171392 -0.120881778 -0.16676161 R [ 440   2,] 0.20166911 -0.532322570 -0.02475405 3,] 0.24232848 -0.393360257 -0.30730409 [5,] 0.13541569 0.540833182 0.16731908 [6,] -0.25914793 0.376916773 -0.38778505 [7,] 0.09588740 -0.107734937 0.02843854 [8,] 0.16669524 -0.037101685 0.21001599 [9,] 0.01355870 0.083168389 0.30094252 [10,] -0.21865360 -0.071913373 0.67248996 [11,] 0.08452364 -0.002024599 -0.02263443 2,] -0.38695277 -0.030094905 -0.22799278 [ [ [4,] 0.49638995 0.294515760 -0.24197406 [1 441   Appendix 7.8. MANOVA of linear measurements. Sums of Sqs Mean Sqs F. Model R2 Pr(>F) Linear Measurements ontogeny 10.3333 10.3333 26.9171 0.56673 1.00E-04 *** stratigraphic level 1.3955 1.3955 3.6352 0.07654 0.05639 ontogeny:stratigraphic level 0.3622 0.3622 0.9435 0.01986 0.39066 Residuals 6.1423 0.3839 0.33687 Total 18.2334 1 1 3.2979 3.2979 24.5141 0.72453 0.0007 *** 1 0.0723 0.0729 0.5377 0.01589 0.50245 1 -0.0293 -0.0293 -0.2175 -0.0064 0.9781 9 1.2108 0.1345 0.266 12 4.5518 1 Residuals Total ontogeny stratigraphic level ontogeny:stratigraphic level 19 Linear Measurements (w/o horns and frill) Df 1 1 1 16 442   Appendix 7.9. MANOVA of skulls with and without cranial ornamentation. Df Sums of Sqs Mean Sqs F. Model  R2 Pr(>F) Skulls in Lateral View centroid size 1 0.014269 0.014269 3.9084 0.32497 0.01667 * stratigraphic position 1 0.012761 0.012761 3.4955 0.29063 0.04167 * centroid size:strat pos 1 0.013227 0.013227 3.6232 0.30125 0.025 * Residuals 1 0.003651 0.003651 0.08315 Total 4 0.043907 1 centroid size 1 0.019776 0.019777 2.355 0.18017 0.0236 * ontogenetic stage 1 0.01383 0.01383 1.6469 0.126 0.1113 centroid size: ontogenetic stage 1 0.017374 0.017374 2.069 0.15829 0.0447 * Residuals 7 0.058782 0.008398 0.53554 Total 10 0.109763 1 centroid size 1 0.018556 0.018556 2.2622 0.19865 0.0434 * ontogenetic stage 1 0.010513 0.010513 1.2816 0.11255 0.25317 centroid size (ctoro):ontogenetic stage 1 0.015123 0.015123 1.8437 0.16191 0.08589 Residuals 6 0.049216 0.008203 0.52689 Total 9 0.093407 1 ontogenetic stage 1 0.020019 0.020019 3.9729 0.45593 0.04167 * stratigraphic position 1 0.010152 0.010152 2.0148 0.23122 0.14167 ontog:strat 1 0.008697 0.008698 1.7261 0.19809 3 Residuals 1 0.005039 0.005039 0.11476 Total 4 0.043907 1 Horns and Frill Removed centroid size 1 0.0126187 0.012619 5.1469 0.47737 0.04167 * stratigraphic position 1 0.0075493 0.007549 3.0792 0.28559 0.13333 centroid size:strat pos 1 0.0038139 0.003814 1.5556 0.14428 0.325 Residuals 1 0.0024517 0.002452 0.09275 Total 4 0.0264337 1 centroid size 1 0.018195 0.018195 2.53435 0.22278 0.008999 ** ontogenetic stage 1 0.009251 0.009251 1.2886 0.11327 0.257874 centroid size: ontogenetic stage: 1 0.003971 0.003971 0.55311 0.04862 0.833417 Residuals 7 0.050256 0.007179 0.61533 Total 10 0.081673 1 centroid size (ctoro) 1 0.015296 0.015296 2.02728 0.21201 0.0415 * ontogenetic stage 1 0.007744 0.007744 1.02641 0.10734 0.4433 centroid size (ctoro): ontogenetic stage 1 0.00385 0.003835 0.50834 0.05316 0.8867 Residuals 6 0.04527 0.007545 0.62748 Total 9 0.072145 1 ontogenetic stage 1 0.0137905 0.013791 2.71974 0.5217 0.2 stratigraphic level 1 0.0034379 0.003438 0.67802 0.13006 0.7167 ontogenetic stage:stratigraphic level 1 0.0041348 0.004135 0.81545 0.15642 0.6667 Residuals 1 0.0050705 0.005071 0.19182 Totals 4 0.0264337 1 443   ppendix 7.10. MANOVA results. A Df Sums of Sqs Mean Sqs F. Model R2 Pr(>F) Epinasal Ontogeny - numeric: 1 0.08743 0.087428 1.956 0.04895 0.1527 Residuals 38 1.69851 0.044698 0.95105 Total 39 1.78594 1 Ontogeny(ctoro) 1 0.04491 0.044905 1.0531 0.03092 0.3258 33 1.40722 0.042643 0.96908 34 1.45212 1 Stratigraphy- numeric: 1 0.44772 0.44772 26.098 0.50094 1.00E-04 *** Residuals 26 0.44604 0.01716 0.49906 Total 27 0.89376 1 centroid size 1 0.19314 0.193142 13.787 0.2161 1.00E-04 *** strat (numeric) 1 0.31262 0.312617 22.3155 0.34978 1.00E-04 *** c size:strat (numeric) 1 0.05179 0.051785 3.6966 0.05794 0.0363 * Residuals 24 0.33622 0.014009 0.37618 Total 27 0.89376 1 centroid size (ctoro) 1 0.28052 0.280523 22.4525 0.44599 1.00E-04 *** strat 1 0.06378 0.063783 5.105 0.1014 0.0156 ** csize:strat 1 0.00982 0.009818 0.7858 0.01561 0.4307 Residuals 22 0.27487 0.012494 0.437 Total 25 0.62899 1 P.O. Horn Ontogeny - numeric: 1 0.21169 0.211688 27.378 0.50348 1.00E-04 *** Residuals 27 0.20876 0.007732 0.49652 Total 28 0.42045 1 Ontogeny(ctoro) 1 0.23919 0.239185 36.649 5.94E-01 1.00E-04 *** Residuals 25 0.16316 0.006526 0.40552 Total 26 0.40234 1 Stratigraphy- numeric: 1 0.017888 0.017888 1.4163 0.0769 0.2409 (include Eo as 0) Residuals 17 0.214714 0.01263 0.9231 Total 18 0.232603 1 centroid size 1 0.101569 0.101569 12.8746 0.43666 0.0004 *** strat (numeric) 1 0.004991 0.004991 0.6326 0.02416 0.5309 c size:strat (numeric) 1 0.007706 0.007706 0.9768 0.03313 0.374 Residuals 15 0.118337 0.007889 0.50875 Total 18 0.232603 1 Squamosal Ontogeny-numeric 1 0.060302 0.060302 15.312 0.32364 1.00E-04 *** Residuals 32 0.126019 0.003938 0.67636 Total 33 0.186321 1 Ontogeny(ctoro) 1 0.009365 0.009365 3.234 0.11063 0.0278 * 26 0.075291 0.002896 0.88937 27 0.084657 1 Stratigraphy-numeric 1 0.016091 0.016091 4.6943 0.22684 0.006399 ** Residuals 16 0.054844 0.003428 0.77316 Total 17 0.070935 1 centroid size 1 0.009499 0.0095 3.0533 0.13392 0.0461 * strat (numeric) 1 0.010322 0.010323 3.3179 0.14552 0.0301 * c size:strat (numeric) 1 0.007557 0.007557 2.4289 0.10653 0.09049 . Residuals 14 0.043556 0.003111 0.61403 Total 17 0.070935 1 centroid size (ctoro) 1 0.001428 0.001428 0.68461 0.04277 0.6607 strat 1 0.004753 0.004753 2.27878 0.14238 0.0473 * size:strat 1 0.002173 0.002173 1.04189 0.0651 0.4016 esiduals 12 0.025027 0.002086 0.74975 c R 444   P O arietal Dorsal ntogeny - numeric 1 0.026706 0.026706 3.4939 0.25892 0.09091 . Residuals 10 0.076435 0.007644 0.74108 Total 11 0.103141 1 Ontogeny (ctoro) 1 0.00774 0.00774 1.021 0.10189 0.3502 Residuals 9 0.068227 0.007581 0.89811 Total 10 0.075967 1 Stratigraphy_numeric 1 0.009165 0.00916 1.1031 1.12118 0.2727 Residuals 8 0.066466 0.0083 0.87882 Total 9 0.07563 1 centroid size 1 0.024218 0.024218 4.6786 0.32021 0.09091 . strat (numeric) 1 0.008185 0.008185 1.5813 0.10822 0.63636 c size:strat (numeric) 1 0.01217 0.01217 2.3512 0.16092 0.18182 Residuals 6 0.031057 0.005176 0.41065 Total 9 0.07563 1 centroid size 1 0.004287 0.004287 0.983 0.08264 0.3997 strat 1 0.007422 0.007422 1.7021 0.14308 0.2178 csize:strat 1 0.018362 0.018362 4.2108 0.35397 0.09091 . Residuals 5 0.021804 0.004361 0.42031 Total 8 0.051876 1 Nasal Ontogeny - numeric 1 0.09589 0.09589 7.1375 0.33767 0.0013 ** Residuals 14 0.18809 0.013435 0.66233 Total 15 0.28397 1 Ontogeny (ctoro) 1 0.034731 0.034731 3.3919 0.22037 0.0247 * 12 0.122875 0.01024 0.77963 13 0.157606 1 Stratigraphy-numeric: 1 0.032147 0.032147 1.3652 0.1632 0.2519 Residuals 7 0.164828 0.023547 0.8368 Total 8 0.196975 1 centroid size 1 0.021566 0.021566 1.6966 0.10949 0.26127 strat (numeric) 1 0.033301 0.033301 2.6198 0.16906 0.15148 c size:strat (numeric) 1 0.078552 0.078552 6.1798 0.39879 0.07469 . Residuals 5 0.063556 0.012711 0.32266 Total 8 0.196975 1 centroid size (ctoro) 1 0.010455 0.010455 0.93952 0.14571 0.4593 strat 1 0.010259 0.010259 0.92194 0.14298 0.472 csize:strat 1 0.006526 0.006526 0.58647 0.09095 0.6199 Residuals 4 0.044511 0.011128 0.62035 Total 7 0.071751 1 NPP Ontogeny-numeric 1 0.054839 0.054839 1.2911 0.17708 0.2857 Residuals 6 0.254847 0.042475 0.82292 Total 7 0.309687 1 Stratigraphy-numeric 1 0.22989 0.229891 5.3824 0.4022 0.0037 ** Eo as 0 Residuals 8 0.34169 0.042712 0.5978 Total 9 0.57158 1 centroid size 1 0.18838 0.188375 4.0245 0.32957 0.0203 * npp.strat (numeric) 1 0.08448 0.084478 1.8048 0.1478 0.1784 centroid size:npp.strat (numeric 1 0.01789 0.017886 0.3821 0.03129 0.7923 Residuals 6 0.28085 0.046808 0.49135 Total 9 0.57158 1     445   r GM analyses. Appendix 7.11. Regression results fo Epinasal P.O. Horn Squamosal Parietal NPP Nasal Skull Skull_no orn All n 47 30 35 12 11 17 11 11 0.285 0.429 0.0771 0.362 0.3 0.228 0.004 .004 0.044 0.04 0.0 0.012 imens without Strat Data R2 p-value 06 0.051 16 0.408 0.191 0.040 Remove spec n 2 28 19 18 1 10 9 5 5 R 0.241 0.378 0.0568 0.311 0.306 0.13005 0.328 0.448 44 0.012 0.34 0.242 0.086 0 p-value 0.008 0.004 0.372 0.0 L3 n 4 NA 5 NA N 0.486 NA 0.733 NA NA NA NA 0.17 NA 0.018 NA NA NA NA M3 A NA NA R2 p-value NA n 5 NA 0.074 0.136 0.418 NA 0. 5 4 NA 3 NA R2 0.586 0.686 0.443 NA 0.227 NA NA NAp-value 73 NA U3 n 2 2 0 11 9 4 5 NA 0.299 .363 0.128 0.221 0.377 0.295 NA -value 0.008 0.008 0 0.286 0.35 0.35 NA 6 R p 0 .44 446   Triceratops Appendix 7.12. Fisher's Exact Tests Torosaurus ic Level p-value: 0.013 26 l3 6 3 from ella and oner (2010) Stratigraph m3&u3 0 Following criteria Scann H geOntogenetic Sta p-value: 0.022 23 34 9 rnative ontogenet stages from Longrich and Field (2012) juv or sub 0 adult Using alte ic StageOntogenetic p-value: 0.071 26 1 31 8 juv or sub adult 447   Appendix 7.13. Specimens included in Fisher's exact tests. Specimens included from or with differing ontogenetic designations in the study of Longrich and Field (2012) are noted. Specimens highlighted in red exhibit the "Torosaurus" morphology. TBD, to be d men etermined. Speci StratL1 Ontog AMNH FARB 5116 TB 012) *Longrich and Field 8617 3 4 *Longrich and Field 6 D 4 3 in Longrich and Field (2 CM 1221 TBD 4 DMNH epv.4 TBD 4 FMNH P1200 TBD 4 GMNH-PV 12 TBD 3 LACM 59049 TBD 4 MHNM 1912.20 TBD 4 *Longrich and Field MOR 004 3 4 MOR 1110 3 2 MOR 1120 1 3 MOR 1199 TBD 2 MOR 13630 3 2 MOR 1604 TBD 4 MOR 1625 3 4 MOR 2552 1 3 MOR 2569 2 2 MOR 2570 2 4 MOR 2574 3 3 MOR 2597 3 3 MOR 2702 3 4 MOR 2923 3 4 MOR 2924 3 3 MOR 2936 3 3 MOR 2938 3 4 MOR 2942 3 3 4 2MOR 2951 MOR 2971 3 4 3 4 2 3 1 4 3 3 2 4 2 3 3 2 MOR 2979 MOR 2982 MOR 2985 MOR 2999 MOR 3010 MOR 3027 MOR 3029 448   1 4 OMNH 10170 TBD 4 *Longrich and Field SMM P60.2.1 TBD 4 UCMP 113697 2 4 *3 in Longrich and Field UCMP 128561 2 4 *Longrich and Field UCMP 154452 3 1 USNM 1201 TBD 3 USNM 1205 TBD 4 *Longrich and Field USNM 2100 TBD 4 USNM 2412 TBD 4 USNM 4720 TBD 4 *Longrich and Field USNM 4741 TBD 4 *Longrich and Field USNM 4928 TBD 4 3 in Longrich and Field USNM 5740 TBD 4 *Longrich and Field YPM 1820 TBD 4 YPM 1821 TBD 3 YPM 1822 TBD 4 YPM 1823 TBD 3 YPM 1828 TBD 4 *Longrich and Field MOR 335 1 3 MOR 1186 1 4 YPM 1831 TBD 4 *3 in Longrich and Field (2012) YPM 1830 TBD 4 MPM VP6841 TBD 4 ANSP 15192 TBD 4 MOR 1122 1 4 SMM P97.6.1 TBD 4 MOR 981 TBD 4 MOR 2984 1 4 MOR 3081 1 4 MOR 3045 2 3 MOR 3048 3 3 MOR 8693 449   raphic levels: 1, L3; 2, M3; 3, U3; Ontogenetic ages: 1, baby; 2, juvenile; 3, subadult; 4, young adult; 5 toromorph Appendix 7.14. Skull factors. Stratig st Specimen StratL1 Ontog AMNH FARB5116 NA 4 DMNH epv48617 NA 4 LACM 59049 NA 4 MOR 1110 3 2 MOR 1120 1 3 MOR 1122 1 5 MOR 1199 NA 2 MOR 2951 3 2 MOR 3027 2 3 USNM 4928 NA 4 YPM 1822 NA 4                                                           450   Appendix 7.15. Nasal horn factors. Specimen StratL1 Ontog AMNH FARB 5116 NA 4 ANSP 15192 NA 5 DMNH 48617 NA 4 FMNH P12003 NA 4 LACM 59049 NA 4 MOR 004 3 4 MOR 1110 3 2 MOR 1120 1 3 MOR 1604 NA 4 MOR 1625 3 4 MOR 2570 2 4 MOR 2574 3 3 MOR 2576 3 NA MOR 2702 3 4 MOR 2923 3 4 MOR 2924 3 3 MOR 2936 3 3 MOR 2951 3 2 MOR 2952 3 NA MOR 2965 3 3 MOR 2982 2 3 MOR 3008 3 NA MOR 3010 2 4 MOR 3048 3 3 MOR 3055 2 NA MOR 3073 3 NA MOR 598 3 3 MOR 965 NA 4 MOR 966 NA NA MOR 989 NA 2 SMM P60.2.1 NA 4 UCMP 113697 2 4 USNM 1201 NA 3 USNM 2100 NA 4 USNM 2410 NA NA USNM 4805 NA 3 USNM 4928 NA 3 YPM 1820 NA 4 YPM 1822 NA 4 YPM 1830 NA 5 YPM 1831 NA 5 MOR 3081 1 5 MOR 1167 1 2 MOR 136306 3 2 MOR 2938 3 4 MOR 2971 3 4 MOR 1122 1 5     451   tors. Appendix 7.16. Postorbital horn core fac Specimen StratL1 Ontog MOR 1110 3 2 MOR 1120 1 3 MOR 1199 NA 2 MOR 1604 NA 4 MOR 2552 1 3 MOR 2569 2 2 MOR 2574 3 3 MOR 2597 3 3 MOR 2923 3 4 MOR 2951 3 2 MOR 2958 3 2 MOR 2979 3 4 MOR 2999 3 3 MOR 3027 2 3 MOR 3045 2 3 MOR 3053 3 4 MOR 3064 2 2 MOR 981 NA 5 RTMP 2002.57.7 NA NA UCMP 113697 2 4 UCMP 136306 3 2 UCMP 154452 3 1 AMNH FARB 5116 NA 4 ANSP 15192 NA 5 DMNH 48617 NA 4 LACM 59409 NA 4 USNM 1201 NA 3 USNM 2100 NA 4 USNM 4928 NA 4 YPM 1822 NA 4   452   mosals. Appendix 7.17. Factors for squa SpecimenStratL1 Ontog LACM 149538 NA 2 LACM 59049 NA 4 MOR 1110 3 2 MOR 1120 1 3 MOR 1122 1 5 MOR 1199 NA 2 MOR 2569 2 2 MOR 2702 3 4 MOR 2924 3 3 MOR 2942 3 4 MOR 2951 3 2 MOR 2985 1 4 MOR 2999 3 3 MOR 30 2 3 MOR 30 2 3 MPM VP 68 1 NA 5 UCMP 1136 2 4 UCMP 1363 3 2 UCMP 1544 3 1 MOR 86 1 4 AMNH FARB 51 6 NA 4 ANSP 15192 NA 5 MOR 30 1 5 SMM P9 1 NA 5 USNM 12 NA 3 USNM 21 NA 4 USNM 24 NA 4 USNM 49 NA 4 YPM 18 NA 3 YPM 18 NA 4 YPM 18 NA 3 YPM 18 NA 5 MOR 0 4 3 4 DMNH epv10 8 NA NA DMNH epv486 NA 4 27 45 4 97 06 52 93 1 81 7 01 00 12 28 21 22 23 31 0 1 17 453   Appendix 7.18. Parietal factors Specimen StratL1 Ontog AMNH FARB 5116 NA 4 MOR 1110 3 2 MOR 1199 NA 2 MOR 2569 2 2 MOR 2999 3 3 MOR 3027 2 3 MOR 3029 3 2 UCMP 136306 3 2 MOR 2951 3 2 MOR 004 3 4 MOR 1122 1 5 MOR 1120 1 3                                                           454   Appendix 7.19. Nasal factors Specimen StratL1 Ontog MOR 3027 2 3 MOR 1110 3 2 MOR 1120 1 3 MOR 1122 1 5 MOR 1604 NA 4 MOR 2574 3 3 MOR 2999 3 3 MOR 3005 2 NA AMNH FARB 5116 NA 4 DMNH epv.48617 NA 4 USNM 4928 NA 4 YPM 1820 NA 4 YPM 1822 NA 4 ANSP 15192 NA 5 MOR 004 3 4 MOR 1199 NA 2 MOR 2951 3 2 455   Appendix 7.20. NPP factors Specimen StratL1 Ontog MOR 1110 3 2 1 3 1 NA NA 2 3 3 3 4 3 2 2 NA 2 3 2 3 NA NA MOR 1120 MOR 1122-7-22-00-1 MOR 1199 MOR 2574 MOR 2702 MOR 2951 L MOR 3011 MOR 3027 L MOR 3045 RTMP 2002.57.7                                                         456   s in lateral view. 3 9 8 6 1 2 1077114534113 .116110160984877 -0.0918481347728067 360696539 -0.0846938196648464 .00567208419234254 0.00855639531590256 Appendix 7.21. TPS landmark data for skull LM=35 -0.00380935182691885 0.0364690552962379 1.9527039230971e-05 0.0012243248849307 0.0270384095988638 0.030982776108885 0.134626942056235 -0.0440998417412715 0.0470464476539713 -0.0407855887566018 -0.0283854543666476 -0.129184971247625 -0.118848135149326 -0.105617333200917 -0.114502989991886 -0.0769892132672846 -0.107835000598103 -0.098351507724403 -0.0279714076235171 -0.058542884724295 -0.0263839663774785 0.024379822846289 -0.256208865994814 0.0495240492889239 -0.128991835657293 -0.0451218236451268 0.142305590173547 0.0199044241132976 0.174969312262634 0.0257977384032226 0.23544091404417 0.294780600576054 -0.0718869832149507 -0.169107196645698 -0.118130665802395 -0.0652179557347732 0.0205231205476452 0.0171026986393657 -0.106693844543324 -0.074690759364651 -0.0859959726487836 -0.0610631218630937 -0.0528925550282707 -0.057395759379490 -0.0702738096815073 0.042103586065252 -0.107856702070171 0.0417311477755513 -0.141635423110468 0.0431133811545636 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0.245152707857561 -0.112928811755013 -0 ID L -0 -0 0 0 0 -0 -0 -0 -0 -0 465   .201647088790995 0.10064233924762 3255931205 -0.108064658048155 6 1 7046 .118203275309639 .108680220731179 -0.115734670669431 538714131 0.0317175410701456 -0.0348238555270732 0.0407876301621178 -0 -0.18277 0.13125231804231 0.0297801057614351 0.176487782691805 0.022153117086792 0.18936909016933 0.262116019974161 -0.043518015848838 -0.167954687506482 -0.118902076833278 -0.0652695514719499 0.0205563316720361 0.0131580431053515 -0.0967102390701566 -0.086302925490868 -0.0765571314178742 -0.071002372578 -0.049974366918352 -0.0581564812862498 -0.0648651994273325 0.0663659526129167 -0.0967495566499938 0.0766050963869807 -0.132867669673261 0.0827535640309936 -0.166659712259165 0.089352691977561 0.215041282057265 0.0552334830459739 0.253635042493005 0.104674178144787 0.259178406353409 0.17059201953911 0.246318170618194 0.231007627059357 -0.10905469260943 -0.121501030974179 -0.108890244923231 -0 -0 0.147132 0.162068925366065 0.0275328215909172 ID= YPM1822_R.tif 466   ppendix 7.22. TPS landmark data for skulls with cranial ornamentation removed. 5 .0779484679855518 = AMNH 5116 L.tif 6 1522 15 .180130150932897 -0.0798686656040798 = DMNH epv48617.tif A LM=18 0.112567946875936 0.262572607101888 0.12290541833037 0.167286586985137 0.195945441713202 0.247652301706407 0.48631002344398 0.0447619034469926 0.249581640875898 0.0538501631356437 0.0454349170312669 -0.184546833515369 -0.198875092229167 -0.120471473076065 -0.18698265184835 -0.0430547525857 -0.169061940958625 -0.101019728246929 0.0469189622344819 0.00621265727382337 -0.0691818300065109 -0.26642803017185 0.192985659214671 0.176040581544116 -0.144341755029579 -0.0207819889509901 -0.0875796979971973 0.0193184114406811 -0.020846681308679 0.0377836671669426 -0.192471394423556 -0.107862826084968 -0.191810411021121 -0.0933647791842025 -0.191498554897019 -0 ID LM=18 0.137035908554955 0.269947915909222 0.118680803069888 0.20472784044382 0.197742921919049 0.255748607227457 0.472827927063541 0.0491965231166313 0.257227795621283 0.0559487830054726 -0.0108187774121716 -0.211151650719829 -0.192970281414697 -0.108322333832861 -0.180608861778198 -0.0558629460327472 -0.165945562618146 -0.103197258023927 0.0290630213121894 -0.00056375455069176 -0.0685942018528029 -0.24314798781 0.196694294770064 0.185661294711903 -0.129775818487489 -0.0328991425793342 -0.0816883130670178 0.00362215979426108 -0.0231088329700987 0.01509088966981 -0.19070670299196 -0.109303061495068 -0.184925168785491 -0.0956272132285204 -0 ID 467   -0.0887284106595643 =LACM 59049R.tif 7 .195257721891012 -0.084534079575037 = MOR 1110 L.tif LM=18 0.141529147823367 0.297194273682269 0.127777170513083 0.205250835648403 0.198923420738073 0.267040041502175 0.419049897597948 0.00944325089613482 0.243019151213333 0.0394604901780026 0.0564173622765188 -0.187367151012062 -0.200196278788913 -0.106988144839496 -0.210104537754805 -0.0777138911495598 -0.17068966975593 -0.0825220178746223 0.0443806903906684 -0.00519714529435004 -0.025288566679887 -0.250271077423463 0.205081349488783 0.182542283028935 -0.134224792834744 -0.0296472586251481 -0.0772247685500386 -0.00100767874607492 -0.0213115154089311 0.0318644654037043 -0.198338595905774 -0.107328355758758 -0.197493493013541 -0.096024508956525 -0.201305971349212 ID LM=18 0.111924550572253 0.313002220370603 0.112330226473947 0.210314358439823 0.196851478700622 0.276817488346793 0.451572374947453 -0.0322718487327704 0.250280808295976 0.0329426331924174 0.0437556659268403 -0.167184926599459 -0.184600144825789 -0.119612002902003 -0.199095348219883 -0.0756624066096273 -0.167428400110079 -0.0945241071557632 0.0232674473116861 0.00812414742364069 -0.0105035314074644 -0.24393021203130 0.19582222953099 0.1638790583475 -0.142889291688631 -0.0254862114054146 -0.0871120854893898 0.0124278272666186 -0.0226611919421507 0.0341487652024801 -0.18634263264885 -0.11110295205492 -0.189914433536519 -0.097347751523574 -0 ID 468   7 2 -0.0779817787635757 = MOR 1120 R.tif 1 .193391028229293 -0.0794859171222216 = MOR 1122 R.tif LM=18 0.121201516229234 0.295217213994787 0.0974637607120626 0.22181086659536 0.183370311039526 0.283520236314014 0.44890595187747 -0.00505636900996083 0.240648919049771 0.0456493784471197 0.0489296815266895 -0.205620490031071 -0.193127936669987 -0.129271754218965 -0.179965603687435 -0.052310637819923 -0.153265861918103 -0.0814450230849423 0.0523277506792637 0.0128057812782804 -0.0906830178367798 -0.27972999230964 0.194666305123439 0.164016348716066 -0.129994175775897 -0.0298621450046967 -0.0806080563228342 0.00901994854128342 -0.0197546607990229 0.033796945023941 -0.183096870747506 -0.110165464262882 -0.179291870169816 -0.0943930644051897 -0.177726142310076 ID LM=18 0.143340520989634 0.253252390535425 0.125005886868041 0.19786587070281 0.193571281205395 0.248166363775311 0.437130647043684 0.0460791796083968 0.263320354441303 0.0492087062156779 0.0255507374126938 -0.194237584240726 -0.20469867809939 -0.122955088751134 -0.191201630931653 -0.0667960962821497 -0.17206963127139 -0.0999562903164579 0.0737573993905821 0.0472834390195336 -0.0617895254619948 -0.28095054872519 0.196406084850285 0.171678073734456 -0.129514886276898 -0.032142660167453 -0.0887014297205607 0.0183952628591066 -0.0227056324867355 0.0470764541998613 -0.198027832971896 -0.108074337899938 -0.195982636751807 -0.0944072171453067 -0 ID LM=18 469   2 835 -0.0819845937115772 = MOR 1199 R.tif 7 18 .188825004791894 -0.0788484175576685 = MOR 2951 R.tif 0.108592778237023 0.284350400518508 0.0873804503351253 0.220434395706674 0.194132603619862 0.252970860988996 0.467692980727941 -0.023199099469633 0.289238276714934 0.0452427432410007 0.0339451133597659 -0.194601313210438 -0.192479199099188 -0.161384672704155 -0.185132734973486 -0.0551357854526323 -0.16206629737509 -0.0551621501885611 -0.0118954078000075 0.0226154659268799 -0.000171667681118828 -0.251470244035 0.192619502886939 0.148603955124928 -0.154757352629449 -0.0196519699625332 -0.100764211051056 0.0378836166718408 -0.0216804501543305 0.0438927506151351 -0.18164720273269 -0.115250703526023 -0.181502093545302 -0.0981536565325748 -0.181505088839872 ID LM=18 0.109246217827685 0.30068272455049 0.0972626750600084 0.23377502736594 0.194626942012828 0.284970770969692 0.445168143466191 -0.0181108917397873 0.24717112702147 0.0348099026051426 0.0802434329036931 -0.191025659411126 -0.179458118673387 -0.11559897409994 -0.196414971139044 -0.0564471838808112 -0.15214473030333 -0.0736954278725778 0.0297400485439594 -0.00795692887332018 -0.0733448805018732 -0.27524488448913 0.193177173204284 0.164826883871985 -0.140284451773208 -0.0239455484359649 -0.0815593212108642 0.002331463193818 -0.023362022734282 0.0181599360281591 -0.177834794790102 -0.106873848115797 -0.183407464122135 -0.0918089441090979 -0 ID LM=18 0.125041262403753 0.281720741180186 470   4 3 -0.0852694589296207 = MOR 3027 L.tif M=18 .15154050361415 0.324131464851786 .136210542970836 0.225747723359848 .205931715744362 0.29645713253153 .39415593318001 -0.0231843622925987 .200886356386214 0.0552600514903237 .00482920075042342 -0.21187198702156 .203867522516932 -0.154604095666395 .167608731461859 -0.0516677620535512 .150401357894331 -0.0912710971923683 .0518234212168284 0.0201067503801873 .0720068002323049 -0.283021875662986 .201291747765049 0.198522571868918 .130696582719055 -0.0329903288478984 .0806530742230582 0.00382785356013511 .02069998640009 0.0286840234249629 .181253202270454 -0.117211973374469 .17297186979699 -0.103410962747788 .166510294112801 -0.0835031266080768 = USNM 4928 L.tif M=18 .132595346776126 0.289055684120418 .112587401754148 0.210216356982282 0.127227215447402 0.20978719150353 0.199703169323563 0.269379967812982 0.425471441955845 -0.00503646869779814 0.260195184859245 0.05606904030182 0.0492813442934114 -0.186116887329327 -0.205510923183409 -0.131799968865895 -0.205088103329916 -0.0727779926946682 -0.162771193596656 -0.0908579866390612 0.0395259116069423 0.00648987346971271 -0.0275754536739871 -0.23133139507512 0.210152410571152 0.175147510050502 -0.138764095675506 -0.0273167511766958 -0.0841700636107869 0.00894970539078787 -0.0218064553995839 0.031192228950924 -0.195100927493925 -0.110222197818538 -0.196548500471956 -0.0980071514337174 -0.199262224025589 ID L 0 0 0 0 0 0 -0 -0 -0 0 -0 0 -0 -0 -0 -0 -0 -0 ID L 0 0 471   .446611368703972 -0.009573742485279 610031606 0.0578143662927547 1 75 91 -0.0967332692575202 .191477057094421 -0.0847312549455281 1822_R.tif 0.195653966591892 0.268781391698057 0 0.241268 0.0509096677750094 -0.183066164173362 -0.200256076293716 -0.119081456122097 -0.194487386383547 -0.0891553158450475 -0.163886301276965 -0.083919502524814 0.0503213770022256 -0.0009995406390405 -0.0473746608757715 -0.239804359089597 0.198118701627897 0.181660062380547 -0.141259084329931 -0.0246907204629107 -0.0831069051556533 0.008034462072169 -0.0211870445017613 0.0255358270644642 -0.19495524140522 -0.109342825065497 -0.1900766829458 -0 ID= YPM 472   dmark data for nasal horns. 01 6 61 63 Appendix 7.23. TPS lan LM=11 -0.299290225679355 -0.39331901067024 -0.0594433805883122 0.253498170099928 0.435509341040632 -0.0743794451162406 -0.232592558510677 -0.254739806662509 -0.207019580065879 -0.114650720887139 -0.190347341233102 0.0300288161227816 -0.15147222050155 0.168547533486218 0.0345216318552173 0.222883569403654 0.120703518397913 0.129134212030484 0.221005018016523 0.0494935687187904 0.32842579726859 -0.0164968865257277 ID= AMNH5116 LM=11 -0.354247567775576 -0.393238194919291 0.00220087186620675 0.174936606655507 0.464581951388555 0.0254847747156938 -0.328954683373383 -0.2530118228143 -0.278397766142408 -0.0901967682173829 -0.183366236570824 0.0158267732886778 -0.095799169983862 0.103133595044884 0.0277100315142802 0.16705534661042 0.135513760880704 0.130287937065061 0.251078925077386 0.0794549656648385 0.35967988311892 0.0402667869058924 ID= ANSP15192 LM=11 -0.414929841902093 -0.383131295860746 0.00176846278264857 0.14125376973138 0.490856675425781 0.0553539324303114 -0.347853605612251 -0.235392580880764 -0.266563849043896 -0.103798816171948 -0.180149514253834 0.003066401052314 -0.0977082116281525 0.08577609671041 0.0475081594973115 0.139018232968737 0.140400977788922 0.125705603397591 0.254410752227912 0.0926267586539815 0.372259994717651 0.0795218979687206 473   = DMNHepv48617 2 03 2 9 = MOR004 ID LM=11 -0.395262175929612 -0.41173621618888 0.0131214961641528 0.168636820161026 0.436860140086055 0.0291404372796806 -0.332938997637397 -0.234653660055786 -0.24112670891927 -0.118532144624268 -0.172848871725436 0.0065566164870936 -0.103337521108681 0.104589675962511 0.0334396069104969 0.176119344813669 0.137351712609403 0.139250749907737 0.25246375136087 0.0869447068925792 0.372277568189419 0.05368366936464 ID= FMNHP120 LM=11 -0.136120681171553 -0.37135021785988 -0.107805956638838 0.346392859496092 0.460967692769248 -0.191060807898753 -0.18962905562855 -0.2338537616418 -0.211228869463986 -0.098167049981295 -0.225574372769705 0.0491066591891673 -0.205488510263607 0.212283710918215 0.0174037794995218 0.216969179798653 0.0994741749787328 0.11447149813824 0.199213492484368 0.0224124837653042 0.29878830620437 -0.0672045539239426 ID= LACM5904 LM=11 -0.169690068334279 -0.420288587224949 -0.10105420319707 0.365660374529789 0.396604797641662 -0.190926466973865 -0.188152054724507 -0.246492782683603 -0.19685134296146 -0.103108402497811 -0.19307950815691 0.043333476123727 -0.183479810545605 0.19322527520785 0.040701194291684 0.246775052777394 0.11605937702606 0.139975529797846 0.195988339431223 0.0348631415296894 0.282953279529201 -0.0630166105860686 ID 474   757 0.0474688053521612 .301042921276467 -0.0448376847824793 R1110 644 0.048028329549744 .331753391234756 -0.0185900600418964 R1120 75 0.00741059209730755 .283206694513078 -0.0854441702380891 R1604 LM=11 -0.212126252848049 -0.3945887399377 -0.100590936765173 0.278839303304448 0.409778843405379 -0.159411108251376 -0.210599958113979 -0.253041047478318 -0.201761480833261 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588 0.0466324971592158 .330228425499197 -0.0283957417800454 R2570 567 0.0138498730542981 .265691891535072 -0.0868026031189536 R2574 LM=11 -0.176825046994284 -0.375412566910508 -0.127607820798538 0.343982643339211 0.456658593286838 -0.188255990986778 -0.184502659898821 -0.241987486348674 -0.19418194038775 -0.0972081508603093 -0.200476878628451 0.0484294962918572 -0.194121625329907 0.20076094368490 0.0186501193614278 0.218696626647634 0.102352239265312 0.121247691664329 0.198788928587 0 ID= MO LM=11 -0.21896687598849 -0.299774786675061 -0.169891427832093 0.260351701263812 0.524834360553905 -0.1562923006983 -0.223146131648184 -0.250296015622891 -0.204812104082528 -0.10444782750876 -0.201004135469416 0.0428147316813288 -0.193149713503648 0.190540227103465 0.0179846879404165 0.183104212084475 0.114525537988254 0.115763302992764 0.223397376542 0 ID= MO LM=11 -0.133286289734403 -0.4741516580416 -0.040278532157367 0.421440111736949 0.370171575870172 -0.179940921088294 -0.187098445497247 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0.0310372196683964 0.156423464300334 0.12303209511805 0.113771933605396 0.237578659179 0 ID= MO LM=11 -0.156929015962071 -0.451537837608454 -0.0678289247192431 0.371150183456972 0.366350382432322 -0.176469403472862 -0.203701123328885 -0.250285141818694 -0.195172424192291 -0.106116826243905 -0.192645476212927 0.0425234057854793 -0.186094895356815 0.195531360314849 0.0654983940733008 0.270777197298014 0.117566587657126 0.144900514061767 0.18411396053 0 ID= MO LM=11 -0.214153580439986 -0.346026105753693 -0.132338491280105 0.288285825311045 0.482182270074106 -0.144003781868306 -0.225790557776182 -0.24874590615537 -0.20977121649887 -0.10424428277438 -0.196407352190022 0.0414992739500234 -0.173534632241697 0.18736126908086 0.0187537552887726 0.198265184383284 0.115006989980124 0.12231523436116 480   2086 0.0413867367711675 .319766311661773 -0.0360934473057904 R3055 9 8464 0.0198702250445115 .257872336199641 -0.0900322454620182 R3073 2843 0.030245068035071 .263751938088832 -0.0740862600017068 R598 9 0.0385030573870238 .299155533681272 -0.0509595942772158 0.21628650342 0 ID= MO LM=11 -0.131790553666888 -0.457082960324216 -0.0858390761836844 0.430197220727935 0.382315572412185 -0.218888172881432 -0.169073272407437 -0.243836978548941 -0.175058036830045 -0.0970913291843765 -0.184418535036107 0.0541798371601686 -0.189196119924992 0.20776186313134 0.036818051458129 0.258086355698039 0.0894401414707347 0.13683618463898 0.16892949250 0 ID= MO LM=11 -0.158750133365616 -0.463228388267734 -0.0751406091824491 0.379594912597161 0.355340993556589 -0.187443766245742 -0.18565464297065 -0.249327874596941 -0.191998656719272 -0.103975613231844 -0.194535561457047 0.0441271988333134 -0.183489092850221 0.196196891649763 0.0739157785426268 0.280957667783034 0.117749093874365 0.146940163445625 0.17881089248 0 ID= MO LM=11 -0.214126108255758 -0.395916743507253 -0.104120127835146 0.330098181175941 0.428546078920111 -0.160548739743958 -0.191036888605903 -0.250431617953807 -0.193386440188986 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0.252618138734147 0.0876602833395042 0.136047189931472 0.1513813350274 0 ID= UCM LM=11 -0.331877066460749 -0.35481931652902 -0.0754418550235409 0.184388129284258 0.490395623914124 -0.0392167936236162 -0.293211244976039 -0.246065822372579 -0.235769377251083 -0.115891902473615 -0.184478198895931 0.0184772055758768 -0.114197264064066 0.138821193641074 0.0265796588482167 0.187177685458588 0.127475473443085 0.135482080144847 0.2372641714576 0 ID= USN LM=11 -0.401528553834531 -0.352725403859214 -0.0774471885319869 0.169295687379827 0.501684841502256 -0.0007202214990023 -0.305277182989315 -0.230222796332965 -0.222112799267884 -0.139452273304567 -0.150942936327459 -0.0061842440897794 -0.104542616264496 0.142374379932355 0.0228436801778922 0.162941786915308 0.125871600556327 0.131594275588111 0.2475334356301 0 ID= USN LM=11 -0.295043430759071 -0.352418754433767 483   291 0.050582066064819 .334128251199414 -0.0110972088940449 M2410 776 0.0552454267859759 .296320900735648 -0.0444276755936024 M4805 28 -0.00376516859415307 .324527345694565 0.0103189194905028 M4928 -0.0955783452889509 0.218039072298567 0.485885385864254 -0.0759858031084359 -0.250154688520518 -0.249739636013456 -0.210510220335355 -0.114737846639035 -0.186780282378233 0.0296140222888269 -0.162595740687579 0.17628292091705 0.0294169928232509 0.200750877103511 0.124594488300497 0.128710290415965 0.226637589782 0 ID= USN LM=11 -0.275976640804656 -0.4503534795006 -0.0479923375592707 0.288618826066708 0.359805427067065 -0.083801568310631 -0.243601227506645 -0.25817956833579 -0.209714946302816 -0.118340813908817 -0.170330325770091 0.0188594304279657 -0.122896293426295 0.150424420176457 0.0529830855276932 0.279476136114661 0.144980041491593 0.162478866077673 0.216422316547 0 ID= USN LM=11 -0.31333081162926 -0.397632494237579 -0.0359640745912946 0.272041932505431 0.474430598025678 -0.0182603285169084 -0.264472285727612 -0.247286163701271 -0.21687775039174 -0.112193439780741 -0.176283428209928 0.027895786604821 -0.12507090480086 0.160531642958908 0.0231452015124505 0.206575403105808 0.102147802030721 0.101773910165182 0.207748308087 0 ID= USN LM=11 -0.284429371546581 -0.343044878780796 -0.0675775671869178 0.196356538422934 0.504702090279496 -0.0480729293897446 484   154 0.0611823199092379 .354649397864489 0.0175620344391508 1820 803 0.0104299235920649 .266392574307571 -0.0942463021919405 1822 4 002 0.0778517141832878 .360678221391027 0.0205244244303738 1830 -0.285127746500516 -0.254825695392024 -0.253784357869864 -0.103761577008964 -0.211459995147615 0.0442380176634233 -0.131025456301112 0.15920150926747 0.0178705999469386 0.16672464675755 0.120728691264528 0.104440014111763 0.235453715197 0 ID= YPM LM=11 -0.0951237512219381 -0.425414453365177 -0.118237511514145 0.447023392184814 0.413690557029206 -0.266424748630747 -0.144560853310865 -0.231027537705409 -0.164975442648015 -0.084119191754762 -0.200423474881288 0.0596560996763993 -0.221706855789992 0.221144483652148 0.00582403968420436 0.239184486964136 0.0855055763384596 0.123793847578474 0.173615142006 0 ID= YPM LM=11 -0.309684982978968 -0.348481350042473 -0.076365300941751 0.185148091721166 0.491000029781366 -0.0564555370455933 -0.277237925378655 -0.251536498878862 -0.248791354173036 -0.10617905095836 -0.19373173566699 0.0312935409447212 -0.135488012309708 0.159618903617285 0.0231446313938901 0.161624311061527 0.126154509114823 0.126591450966931 0.240321919768 0 ID= YPM LM=11 -0.215537423607663 -0.415526317020956 -0.0711045869022268 0.323276681834917 0.418795487280793 -0.123447557065099 -0.21981677875787 -0.248154173285948 -0.20723421784188 -0.104756464214964 485   .29898188176029 -0.0525217106134438 1831 96 6 461 0.0642959173600399 .344041297497426 0.00465498527874787 R3081 517 0.0905377139479331 .352763178967175 -0.010128366708554 R1167 -0.192205900364809 0.0395655254154664 -0.163413951370449 0.183121793864929 0.0386708926534533 0.234400884518291 0.108836075714851 0.12705416141455 0.204028521435511 0.0369871751522565 0 ID= YPM LM=11 -0.321876228587731 -0.435730084606874 0.000751022341720281 0.2300080873119 0.394284734153887 -0.0194901496887924 -0.29413484045958 -0.251073000385861 -0.245401061397555 -0.104295193483988 -0.165034219198289 0.0096757421817390 -0.114297475187694 0.135392649921862 0.0324936250924588 0.221297073749445 0.134442521399896 0.145263972361685 0.234730624345 0 ID= MO LM=11 -0.277484389337349 -0.400785735495151 -0.0342559784958406 0.195589529725486 0.400458260709648 -0.0697521178783661 -0.287313567554104 -0.255954117360607 -0.249959848421611 -0.105695493200164 -0.207310429713956 0.0364286526596582 -0.126133209184731 0.1347452750449 0.03050765423944 0.211257226117088 0.140993258161812 0.173757433147778 0.257735070629 0 ID= MO LM=11 -0.169784484765748 -0.430705517064283 -0.0575135699642247 0.298171413904957 0.335718236681484 -0.162962158852871 -0.227700316509803 -0.260045357879121 -0.23556841208301 -0.113519404344871 -0.226733125530206 0.0401433171304903 -0.162138349258582 0.174652887979093 486   965 0.0597100093299223 .295913350217315 -0.0458067750217906 = ucmp136306 (image from Goodwin and Horner, 2014) M=11 .183003204753657 -0.423436382182104 .0898689184724642 0.38386334097955 .402652440438788 -0.193636926356171 .154935939557259 -0.2505239565055 .180062938572832 -0.0959733734386305 .198557475217456 0.0470021040537639 .198706594268908 0.203658755343833 .0326063346654183 0.24270809878718 .100865984806263 0.13137409278347 .186402420082172 0.0243840007219759 .282607890849935 -0.0694197541873666 = MOR2938 M=11 .12039779206016 -0.44717003557764 .111650742423119 0.450207164222027 .401705830581274 -0.247388471672726 .141739345417789 -0.23910388289702 .163979311657608 -0.087304578885992 .183338994648429 0.0616833799089509 .199126517420192 0.215338438753943 .018344845555339 0.251679926681392 .0782434781982715 0.129978028056618 .16356741683421 0.010615282482909 .258371132458201 -0.0985352510724616 = MOR2971 M=11 .37560385730379 -0.38357985996977 .00736285353939035 0.165872618404681 .462897303620897 0.014011505701401 .316218482797509 -0.251150549782988 .283186546383583 -0.0921921697828035 .187796842281554 0.0162031299503886 .0918653839894047 0.0906846844775785 .0294796334863957 0.145153188544805 .132465772979773 0.137564831840922 0.0581605149190794 0.274747839294218 0.154340537758731 0.165613745524256 0.235305618534 0 ID L -0 -0 0 -0 -0 -0 -0 0 0 0 0 ID L -0 -0 0 -0 -0 -0 -0 0 0 0 0 ID L -0 -0 0 -0 -0 -0 -0 0 0 487   .382024901168341 0.0484050845489315 R1122 0.255166355039824 0.109027536066853 0 ID= MO 488   ital horn cores. 4971 0.385750424713879 .187335371087053 -0.232181825621717 6446547 -0.18144520934385 6539 3 32 6333 0.370301124173464 .184853762249247 -0.226572004885099 245814797 -0.168923871292192 7 87 89 876 0.380949152414819 .166967677272204 -0.245036021861109 234736304 -0.199864277086088 899 4 Appendix 7.24. TPS landmark data for postorb LM=13 0.31506087204339 -0.279169574971949 0.253376291813153 -0.298398041388381 -0.22609437347 0 0.136699 0.084404394463049 -0.12901181276063 0.0320944791262998 -0.074502537949 -0.0208964130675529 -0.019328241142884 -0.0731771967709713 0.03979476904154 -0.114166459693702 0.104109640924575 -0.158211220028324 0.164685960445358 -0.194383180581419 0.228658677736916 -0.222042209570704 0.291037770316794 ID= MOR1110 LM=13 0.349835059852834 -0.314471885516863 0.210189319001719 -0.290794988411315 -0.22638939194 0 0.139120 0.0889195309967597 -0.11611750693232 0.0356054898408285 -0.06487776253397 -0.0168253970457384 -0.01051314749549 -0.06550446796707 0.0469957176222761 -0.114194050089877 0.10323514753597 -0.161315879032752 0.161204532975155 -0.202178215086874 0.222953225891077 -0.22211600658754 0.287581418869331 ID= MOR1120 LM=13 0.427301614332573 -0.244584900455591 0.219012694749698 -0.274823636515632 -0.21586047903 0 0.112450 0.0574436477063221 -0.148800623630885 0.00292380647092162 -0.0907960328841 -0.0456305631582591 -0.024239132875412 489   9 -0.315253018380341 .299979713742802 0.327684739040477 188215787 -0.23703028027436 9 82 99 374 -0.28695970140196 .25001809982468 0.355992369953622 774690405 -0.232289339135189 4 73 3 58 -0.305535803914372 .219789894518994 0.378122726481777 009469455 -0.23613447466437 -0.0790242173924813 0.043755808296138 -0.114556552780555 0.106501591110116 -0.145777424726116 0.171352396230755 -0.180608151792459 0.233201638622378 -0.204642286379392 0.292384038634702 ID= MOR1199 LM=13 0.271504150193797 -0.365197172828189 0.180429359407 -0 0.171619 0.156234330674873 -0.169087443554888 0.125716229299004 -0.0995646133140377 0.0839345026076142 -0.032143708349787 0.0325758658704665 0.02952405917535 -0.0242601295987774 0.08539066536879 -0.0849754228285412 0.132139554644801 -0.144781514134656 0.173295044402154 -0.202835106290633 0.212688154208371 -0.265181739673132 0.257554019861643 ID= MOR1604 LM=13 0.331601179336219 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MOR2569 LM=13 0.341095515462394 -0.299705310794112 0.222206361843 -0 0.181265 0.136348582945484 -0.17412110410886 0.0883354403911121 -0.118525173686081 0.0382432532329295 -0.063760645423206 -0.0145295953851487 -0.01072984967302 -0.0670065400629358 0.04406090183095 -0.116882534658718 0.101253669205182 -0.161945029323337 0.162115534909762 -0.196793338601651 0.226275796982321 -0.219679522327123 0.290114880753262 ID= MOR2574 LM=13 0.322040323142354 -0.301720052410249 0.228140063055 -0 0.180018 0.135063644630391 -0.177578668468613 0.092024092453258 -0.117665980957547 0.0419789078560767 -0.062711112809159 -0.00921693225104609 -0.00771594820392 -0.0599559088566776 0.048205637983168 -0.109233995906258 0.105075420849682 -0.153409982024048 0.165194598906143 -0.19323401427414 0.2261885730772 -0.224382163798928 0.289009249406828 ID= MOR2597 LM=13 491   786 -0.301003870539713 .302515891166391 0.318279181793773 59747461 -0.233661053430896 7 36 447 -0.274726659805905 .184979154413904 0.404695918788297 91253762 -0.231955684317165 189 7 5311 769 -0.290648885671402 .205548131960955 0.385749483891378 433957108 -0.231664129845029 8 4 2 0.300116197084051 -0.372318590773229 0.183291608344 -0 0.169242 0.146321678019309 -0.167069235246117 0.110892608821905 -0.102249482575489 0.0708910013074054 -0.038398473154401 0.0240693912732435 0.0229267697442703 -0.0281745662363895 0.07952711720621 -0.0828659816494362 0.132529496035785 -0.140853459416044 0.178357357813988 -0.197204793299154 0.220719006619312 -0.253210390557895 0.262361776506503 ID= MOR2923 LM=13 0.350635632894574 -0.243620695685123 0.276600959988 -0 0.188190 0.130172618961817 -0.19996811034734 0.0674369110500712 -0.154568422505674 0.00788590255346981 -0.0966280478498 -0.0450034129824217 -0.033190975931276 -0.0915223545003517 0.031434688428 -0.13738245821728 0.0976717403817722 -0.168879738381418 0.169106996608185 -0.189898902422743 0.23672996073463 -0.203256917067881 0.295019291500888 ID= MOR2951 LM=13 0.358949280032887 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.282356117162124 0.344158080629595 814206879 -0.2330904785821 1 26 72 57 8 -0.307749816084052 .255354397307616 0.355470391121401 591111559 -0.240565735820088 35 58 1 22 -0.32449986836831 .319714594737259 0.312717669148835 160065977 -0.240658651994018 4 -0.197017495644891 0.236971428180053 -0.198150221558479 0.279078819374096 ID= UCMP154452 LM=13 0.297731119194928 -0.334872736785915 0.210062541019786 -0. -0 0.181152 0.144653499832244 -0.169967118077269 0.102480325146593 -0.108937622203852 0.0548487443556559 -0.051262939292693 0.00679469840428129 0.006733281592672 -0.0469459890767541 0.05910874674114 -0.0941523894026613 0.1163354316896 -0.143752559333019 0.171317093618186 -0.191365578249527 0.226426256004962 -0.239151108936281 0.279078091840131 ID= AMNH5116 LM=13 0.355026040837511 -0.298833409339033 0.19440839547421 -0 0.163395 0.136495247984938 -0.174517960595599 0.0910263687957753 -0.117162813120701 0.0453669005730135 -0.05834925709626 -6.10301459738038e-05 0.00100140670757 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2649689466 -0.143384081544484 7 5 5 5 1631942147664 .105640404190597 -0.165951223062733 95389672559 -0.140073093946273 3 0.130650139753423 0.291192722324755 -0.251763268413419 -0.094469562572112 -0.220503559390838 -0.120546543620688 -0.169378780812479 -0.155615568043713 -0.140323942210375 -0 -0 -0.07787 -0.0457752391086277 -0.132015349960336 -0.0177136148834234 -0.109279346456659 0.00291020651930108 -0.0841628776145705 0.0297384784032447 -0.066164822963018 0.0533378408181212 -0.0416548540929565 0.0958275427698002 0.0128918119748521 0.11291714932157 0.0419991361569974 0.127856016616425 0.0714440847484025 0.141657707887735 0.101835708652138 0.14975671203909 0.133922436426453 0.152905185847245 0.166125094623322 0.156101788167647 0.198058964768425 0.153913772203231 0.228919551453114 0.146030454009301 0.258170365814136 ID=UCMP 113697_R_ LM=24 -0.294252354657734 -0.054031325974186 -0.21217446437225 -0.135395408715412 0.0839161465419084 -0.025559526687363 0.101006493742373 0.289745350523299 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0.0302147946308608 -0.0242607719959154 0.0805581924331439 0.0225379926565052 0.0922606543639287 0.0502675159321991 513   84 -0.166686110039698 .103849524567671 -0.154346419525976 51110422595 -0.133984273808643 31 68 58 5 5 0.111901446582456 0.0789876590139313 0.132173682137629 0.104954765540497 0.155393901567517 0.125891947718401 0.169948625008535 0.158639866492961 0.173449502167188 0.191725550492195 0.185562842771303 0.225791705199271 0.177255211721758 0.26879598261238 ID= MOR 3081_L LM=24 -0.253186934194833 -0.111502242523671 -0.195890898900651 -0.18573711276227 0.0513932654166661 0.002799465672586 0.176164500060475 0.280500655060004 -0.249509241336221 -0.109664045313018 -0.231745242267643 -0.141727661739296 -0.161450120464603 -0.17752784069821 -0.13265396207728 -0 -0.08066 -0.0601494436683304 -0.110769663023563 -0.0358647957151104 -0.08856370674319 -0.0135013653691906 -0.0684731243751227 0.00520955940221751 -0.0432452074570 0.0295220870908097 -0.0189233892097526 0.0741992243186995 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0.151850395714293 0.13338340518861 0.149840577849461 0.165109541837427 0.151053546759537 0.198617940578619 0.156979409848102 0.22982470601276 0.151883309905424 0.259131509643393 515   41 8 91 -0.148484335533086 .103449791215373 -0.147099265875991 69907326016 -0.13833803657764 9 3 02 -0.164287029856393 .105505321134347 -0.150777235127573 55623780199 -0.133429948697324 4 8 8 ID= USNM2100_R LM=24 -0.337985343911202 -0.095247606120045 -0.17652252954462 -0.156191960273869 0.0677859068370924 -0.008745857732148 0.146350918696639 0.278618313436169 -0.249997296004221 -0.11412985612555 -0.223353522785389 -0.13464982148022 -0.165371138353289 -0.151449975419643 -0.1337165777412 -0 -0.07269 -0.0473764061693381 -0.118213529274986 -0.0247266681596414 -0.095879878653105 0.00163368212762554 -0.0769202983397543 0.0269511183674619 -0.058362765549473 0.0483938615305745 -0.034632996470087 0.0917378705290235 0.0158421553689759 0.111083085489554 0.0422562552734757 0.127056724694501 0.0707079085366443 0.131660538571155 0.10319239021973 0.148800105728058 0.13130279262612 0.157095743453884 0.162155319227917 0.16469314930547 0.193663052351792 0.160447385648854 0.225240829963108 0.151506173637072 0.255367166421675 ID= USNM2412_R LM=24 -0.295774108289585 -0.0836315451195929 -0.194628660970363 -0.164162929902767 0.06295231066958 -0.0100350858870513 0.133693449733522 0.285014764485996 -0.250399492150633 -0.104411010636534 -0.221692896672672 -0.127637059752059 -0.166724123043026 -0.170223378802254 -0.1343230127167 -0 -0.07848 -0.0515689047100417 -0.116429318779548 -0.0247653984623326 -0.098943493059424 -0.000180908199504669 -0.078350514109127 0.0219452227177639 -0.055902973015990 516   7 06 6 83 -0.173154645388554 .107021718028473 -0.153841988406509 38308749997 -0.137579557410546 4 4 6 0.042866410571507 -0.0313332949275941 0.0901056068054122 0.0164108021239924 0.111411632356704 0.0415388494662559 0.128273071425307 0.0698504561674814 0.141466206465118 0.100176013280072 0.150969491897433 0.131549304782613 0.157944994638155 0.163219317549684 0.16326236958798 0.195230873427469 0.164713182437078 0.227965634876765 0.154444439421668 0.258598801512904 ID= USNM4928 LM=24 -0.268277547436509 -0.0778466100284033 -0.202253922162901 -0.169873812479347 0.059793124349505 -0.0066294299903061 0.140303661217782 0.291330184638067 -0.242428394192552 -0.09662624945081 -0.224907561221213 -0.13043906482666 -0.169736706265678 -0.178783055644216 -0.1335896737467 -0 -0.07905 -0.0520916777082283 -0.120345545110048 -0.0285023240702395 -0.098891184069005 -0.0055933271089752 -0.0756354360512408 0.0189634716259181 -0.055138967742104 0.0399904385568743 -0.03139548398847 0.0851748270908484 0.0190524319503801 0.104780874918833 0.0451905130050385 0.124342155890497 0.0709573240508613 0.139108637099575 0.100391985441537 0.149990402295604 0.131478063366885 0.157770388487927 0.163142513040242 0.166312367572399 0.194751679757526 0.169891389375752 0.229227829485976 0.157034944335036 0.260658505849715 ID= YPM1821 L LM=24 -0.291385107997398 -0.0565796565040677 -0.217622910484368 -0.134352757783285 0.0823409195814348 -0.020814095897724 0.109266825827362 0.304481542352095 517   88 -0.162041216308546 .108535865465987 -0.159042804107875 35039461955 -0.141092830174874 5 7 7 55 -0.16136344763432 .109899895774076 -0.147205261857794 4654420831 -0.13817217121718 4 -0.24433585368861 -0.087313685503379 -0.223890014150701 -0.123359024130781 -0.169889779673521 -0.151684642443504 -0.1425161993714 -0 -0.07929 -0.0506271478170082 -0.129444219648339 -0.0187531019020474 -0.119551367404611 0.0148579827713634 -0.100315630647282 0.0399861005313235 -0.073562579987691 0.0628190113764812 -0.0478259395148862 0.10918681012422 0.00383970500198863 0.127348065029097 0.0398859236568444 0.132818317888494 0.0723840710758221 0.149088832527557 0.102791692307427 0.149065116148072 0.136807539309495 0.148190081990012 0.168991382822629 0.15106620958894 0.200712553466604 0.14563367005946 0.225338322551311 0.125181541053508 0.251747717512627 ID= YPM1822_R LM=24 -0.296163859767964 -0.0730788107749522 -0.204664039716372 -0.145733286861623 0.0780186886717922 -0.015812649383134 0.115438554228901 0.293065788989929 -0.252266833471944 -0.099588664109832 -0.222099387640835 -0.123220825133532 -0.169987969550961 -0.160827817372411 -0.1387339353531 -0 -0.07874 -0.0489978507979371 -0.12341680020428 -0.0250473729659311 -0.10097201203835 0.00526722830888115 -0.089653534801468 0.035453426901452 -0.0705133459245424 0.0562447637299837 -0.0421465545176885 0.10254541040192 0.00776826912350933 0.120385992861402 0.0389477424308866 0.134873579165862 0.0696340502918696 0.145432027518997 0.101560947381328 0.154302121082389 0.133743182874097 0.157774322021971 0.166456651585105 518   8 -0.16443969097024 .122880567649211 -0.140274840550077 43110276995 -0.119793579042385 572 3 151257585095072 .107275252755387 -0.149401944175838 5298783089 -0.133834587551708 86 0.152433084146269 0.197179089538943 0.147996694603956 0.228175526356898 0.140439905816229 0.255173933258548 ID= YPM1823_R LM=24 -0.236803733419771 -0.184359122390093 -0.193719304539087 -0.187564074495307 0.04506708504777 0.00690590453869932 0.199065143380678 0.274679474466003 -0.225198946391841 -0.125318194998958 -0.236747521155386 -0.145400509937076 -0.163206495417616 -0.176827033935797 -0.1382559527278 -0 -0.09392 -0.0736682531683147 -0.100779618157059 -0.051354664757375 -0.0763176428504123 -0.0255265127258332 -0.0536356514841973 -0.00113791984379774 -0.0304430891619 0.0254479300179587 -0.0094991092966176 0.0709194279258596 0.0335164633104855 0.0922766945882365 0.057385431752755 0.112334944253706 0.0809773439166006 0.130407007916494 0.106795716007371 0.148556327041789 0.132644820233686 0.164614592271236 0.159542347009288 0.179528914125986 0.187373681763111 0.193853900273373 0.219034742582163 0.200352215980728 0.255796231690014 ID= YPM1831 R LM=24 -0.2997916015566 -0.0956633468257914 -0.201594439941626 -0.143401947600019 0.0700155324631042 -0.015446815667212 0.130252245634977 0.289386074507756 -0.254270110729615 -0.109963984863343 -0.223170032402214 -0.126987823047375 -0.166933143886568 -0.152171519766773 -0.137551057416402 -0. -0 -0.07923 -0.0505797205924586 -0.1197027669736 519   7 53669774138788 .109611041372901 -0.146095208739337 -0.0810708524916939 -0.132232474052982 -0.0526630698161134 -0.118022793679829 -0.026081135743717 -0.0999478810061988 -0.000346122703202765 -0.0801850903718728 0.0234141035835655 -0.0588213235031691 0.0460429040070514 -0.0355916492117113 0.0935569368174577 0.012955767098451 0.110617641021785 0.0418322985640989 0.12627617799603 0.0705437093191188 0.140447212113609 0.100236352810047 0.152787534162395 0.131061965091205 0.158812566123692 0.16345155835806 0.162755214760544 0.195869920174629 0.160993633856978 0.228097091313076 0.153533497470739 0.259031900899169 ID=DMNH epv1018_R LM=24 -0.304593005772676 -0.1308045646155 -0.0213168558295677 -0.105633603903566 0.00570269153138411 -0.0859200590297468 0.0299871895459558 -0.063712267946798 0.0508937984844621 -0.0383015594581755 0.0961336664718658 0.0119368225073106 0.115053607006291 0.0402423735667128 0.131823933346583 0.0696008711648538 0.141153984527458 0.101794101580229 0.147818181066094 0.133696562723616 0.161477119672128 0.16359466982027 0.165016962629537 0.197654310020524 0.150082393948985 0.225637723469527 0.146306207564704 0.257856302544304 ID= MOR 004_R LM=24 -0.277830896113084 -0.111614983715877 -0.205728002339263 -0.151369604980676 0.0701801705394234 -0.013920745160008 0.138286812922227 0.292067623175323 -0.253135888132206 -0.107241845737325 -0.222729845720249 -0.126563113355319 -0.168930729633939 -0.159871699150084 -0.139576821309128 -0.1 -0 520   .0630673547864819 -0.00721429707575422 5604361247 0.276336245837494 35040030176524 .0818043855670934 -0.123495297875555 752655903969 -0.108124200984629 11 218 0.0181404140345024 .107635917075436 0.0440341491565976 5130045452 0.0686912894340938 45 0.228486806692698 .155187603907728 0.256970561862037 NHepv48617_R -0.184023254320154 -0.159215993088177 0 0.13754 -0.249425977122804 -0.125144507379876 -0.225939439365342 -0.138605679274396 -0.164776634459723 -0.162714618808685 -0.140720312997726 -0.146429394702683 -0.110111874582634 -0.1 -0 -0.0567 -0.033030379350412 -0.0867386869780812 -0.0054729093267476 -0.06881101448698 0.0180486910681262 -0.0503452624532921 0.0396295654746747 -0.0267452182646594 0.0880431747643 0 0.12810 0.144766331176695 0.097020772559797 0.158985038624814 0.127086370993654 0.169002055817336 0.158881371987076 0.176988675221151 0.193780783606844 0.1696682961322 0 ID=DM 521   ix 7.26. TPS landmark data for parietals. 481 0.0648061985871996 .0149411525830829 -0.544909756920813 NH FARB 5116 .0614774849873424 -0.532317566877986 R 1110 847 0.141294614872178 .0407376974834756 -0.664241204750003 R 1199 117 0.117544410547343 .0391136686380257 -0.65093915593038 R 2569 864 0.123820435206326 .036674246493084 -0.604607798876669 R 2999 499 0.0888948184228066 .0157166011434335 -0.581813945509842 = MOR 3027 Append LM=4 -0.549608548173721 0.156228998638078 0.0472865001003224 0.323874559695535 0.517263200656 -0 ID= AM LM=4 -0.521105411559113 0.125482300167359 0.017424465432821 0.322802999371989 0.565158431113634 0.0840322673386385 -0 ID= MO LM=4 -0.442426435660848 0.207692522097316 0.0115973632304767 0.315254067780509 0.471566769913 -0 ID= MO LM=4 -0.454474782747541 0.180118552171834 0.0312733452234496 0.353276193211203 0.462315106162 -0 ID= MO LM=4 -0.493076198766151 0.193897237609203 0.0196412906813706 0.286890126061141 0.510109154577 -0 ID= MO LM=4 -0.521042556076109 0.182551310531457 0.0343417734520436 0.310367816555578 0.502417383767 -0 ID 522   .518532502461989 0.186623515845445 34027597265 0.304721071444089 6 -0.507372242189863 = UCMP136306 (from Goodwin and Horner, 2014) 9922297166415 .0587597770614486 0.277566145113959 9613600374 0.108687480188064 4 LM=4 -0 0.01976 0.513332025573389 0.0859631726885644 -0.0145629258711263 -0.577307759978098 ID= MOR 3029 LM=4 -0.552632931584803 0.149390481613056 0.00192670889346551 0.31359583295159 0.56900597042806 0.0443859276252103 -0.0182997477367222 ID LM=4 -0.520122834865488 0.162764876533881 0.0482918030282582 0.32609592595589 0.500354451715792 0.0908159967520861 -0.0285234198785621 -0.579676799241858 ID= MOR 2951 LM=4 -0.550382788598035 0.15 0 0.53277 -0.0411566020637881 -0.546175922468437 ID= MOR 004 LM=4 -0.582954627758614 0.11085833324903 0.0235895183540203 0.321889588264671 0.592322160920826 0.0316999310595729 -0.0329570515162331 -0.46444785257327 ID= MOR1122 LM=4 -0.527554535403903 0.128582501357696 0.0293231795207941 0.363470017936744 0.528949965667025 0.0502185282880361 -0.0307186097839164 -0.542271047582476 ID= MOR1120 523   ls. M=8 46682500294 -0.260572080577546 M=8 03094081715 -0.274271673334426 M=8 27574565381 -0.269895364439097 M=8 17121020601 -0.362710914915737 32 .142954387458539 0.145909214982552 Appendix 7.27. TPS landmark data for nasa L -0.2259 0.556786436603206 0.0587553246130142 -0.352238513726738 -0.170172943485302 -0.3756709444237 0.155085964062874 -0.165230385769767 -0.0966746854762472 -0.0101151087357413 0.0362714480323697 0.184647820079852 0.114111624141657 0.387767378473181 0.163195348689181 ID= MOR 3027_left L -0.2600 0.572455738409264 0.0536536101939981 -0.348685665894769 -0.14828458440143 -0.326011917902058 0.103277300199627 -0.187196056235678 -0.083914527021154 -0.016700057551153 0.0423200285809283 0.177303947307455 0.1306967859609 0.388837105948652 0.176523059821556 ID= MOR1110nasal_left L -0.2540 0.582828350753981 0.0324416230408607 -0.331359058353519 -0.126038184729274 -0.364296450751423 0.0775830298629765 -0.180339588011168 -0.0882349273652748 -0.0214332964945018 0.0548811615349249 0.175913634344295 0.152762741117169 0.392713983077716 0.166499920977715 ID= MOR1120nasal_left L -0.2688 0.497680814622416 0.114596697666867 -0.383590352872182 -0.330648124365433 -0.0898987708366793 0.338817627447058 -0.198038867291 -0.116245417945097 -0.0617410556943402 0.04948708254570 0 524   M=8 6874758876 -0.246172181913936 M=8 13072099317 -0.234219067369396 M=8 34840059057 -0.230731546921146 M=8 82313808892 -0.369768237330807 0.361450965633848 0.160793834584087 ID= MOR1122nasal_left L -0.2345 0.555939760116449 0.0796917273535586 -0.392836400689317 -0.268756336131894 -0.244462893962669 0.177565605563138 -0.209403223808622 -0.0707253239148034 -0.0259092016153756 0.0498516816088667 0.173823196272986 0.116634626184311 0.377417511275307 0.161910201250758 ID= MOR1604nasal_left L -0.2490 0.577230966191236 0.06584328803366 -0.355908338226146 -0.197394150395858 -0.330006774235286 0.11722441376974 -0.197895716295624 -0.0690527278312411 -0.0128104816370145 0.03846760494019 0.182580756909617 0.116762219967846 0.385822659392535 0.162368418885059 ID= MOR2574nasal_right L -0.2589 0.567979757103118 0.0631002631213217 -0.347783856432544 -0.211885023924494 -0.330489236078654 0.129420147310958 -0.195799380586874 -0.0686230288052675 -0.00773780764263095 0.0304178529127188 0.183997134712066 0.119516882726935 0.388768228984576 0.168784453578975 ID= MOR2999 L -0.2535 0.555413511688416 0.0710080017826588 -0.365918664937676 -0.136695414143142 -0.237833461203607 0.173044111305815 -0.1727905131596 -0.111215860796975 -0.0470409283152608 0.0530611883619763 525   6 6 6 0.151941194970511 0.155447714993945 0.369811174766108 0.165118495826528 ID= MOR3005nasal_left LM=8 -0.237052152501941 -0.388276916705399 0.546633677582101 0.0446859670771663 -0.330939751844968 -0.144144812423202 -0.255207026291037 0.193921058164023 -0.195225573771818 -0.103536906020613 -0.0524549858698044 0.0588594357317484 0.149955814387236 0.159878344132393 0.374289998310231 0.178613830043884 ID= AMNH FARB 511 LM=8 -0.285598236071756 -0.345813464635284 0.557188409896736 0.0767684317032628 -0.337070689897957 -0.160910692497685 -0.240910041408004 0.174875497111395 -0.184365261277333 -0.104246071732506 -0.0394244542422395 0.0471404373717326 0.158079140891482 0.134623803468932 0.372101132109071 0.177562059210153 ID= DMNHepv. 48617 LM=8 -0.269784652064947 -0.315039240011654 0.567473417771883 0.090963234488394 -0.335654886442692 -0.151869331761286 -0.291523266728276 0.161234088115157 -0.190111704323243 -0.0940991107962502 -0.0259815124544422 0.0356889052454532 0.17111882039486 0.109405660090859 0.374463783846857 0.16371579462932 ID= USNM4928_nasal LM=8 -0.203933425486177 -0.369426018540952 0.528183945599287 0.0659101377645775 -0.401513296078665 -0.191022727419232 -0.232686155250854 0.24091692224434 -0.157621582916918 -0.114638045762219 -0.0496038839471036 0.0536355761478172 526   hatcher et al. 1907) M=8 .248665430301531 -0.363449941919116 .53356540743914 0.0223341919300345 .333327694406633 -0.165886746170251 .270528735579049 0.19104313420881 .16971792002192 -0.108981165482762 .0478759972408594 0.0594012487017729 .150930135911704 0.170349722160807 .385620234199148 0.195189556570705 = ansp15192 nasal M=8 .241318933561666 -0.239045118883641 .54491114141855 0.109929059151629 .415791312193798 -0.253072807333509 .254545578002921 0.189165611791611 .187350004545026 -0.0822758326651142 .00882333718253336 0.0178657083813482 .183796294299077 0.0970666357207756 .379121729768319 0.1603667438369 = MOR004nasal_right M=8 .294708055841295 -0.252128284456456 .570224194629698 0.0767112966174629 .351277290199359 -0.191234401381974 .290174498520512 0.120029240455765 .178114219228961 -0.0915125463843212 .0186406345952628 0.0441192190802157 0.151038198524996 0.149882835909149 0.366136199555436 0.164741319656519 ID= ypm1820nasal_(from LM=8 -0.221677747917637 -0.233997433602748 0.568300526134384 0.0414497147706381 -0.33949660713741 -0.227648840123714 -0.353477642529357 0.151891301572119 -0.197373435977016 -0.0738385142374083 -0.0196162012617358 0.0524723017583518 0.178045497368348 0.134919733667177 0.385295611320424 0.154751736195584 ID= YPM1822_right L -0 0 -0 -0 -0 -0 0 0 ID L -0 0 -0 -0 -0 -0 0 0 ID L -0 0 -0 -0 -0 -0 527   .385743648342711 0.166414920012063 R1199nasal_left 0907221371544125 .0140164255203809 0.0380709955437363 1650440517 0.13061855111528 0.176946855412981 0.127600556057244 0 ID= MO LM=8 -0.265781463615221 -0.275810446988668 0.564991861809238 0.0591010078584131 -0.370284223747052 -0.150658087216034 -0.302945413926363 0.10540412742858 -0.177759699897522 -0. -0 0.17683 0.388963714456784 0.183995989413105 ID= MOR2951_right 528   ppendix 7.28. TPS landmark data for NPP. .259397294066568 -0.590929594981311 5069294439 -0.0279579684084878 .283916823578617 -0.623022772189013 5799357676 0.0441778804810498 1 .441326175053859 -0.748339250652195 0950083513 0.182171066924646 .228358218286498 -0.785645368061482 4506870867 -0.0310098418029526 .303057967864507 -0.494768755319953 4882159799 -0.0533579883593968 .0701244410222735 0.209642749611094 A LM=6 -0 0.47375 -0.398075901725317 0.0541697096734752 0.257267143478228 0.131116689671282 0.0775242519246342 0.236898176377957 -0.151073268905415 0.196702987667085 ID=MOR 1110 npp left LM=6 -0 0.47526 -0.362274983210282 0.099977054316420 0.254611706124364 0.117819375183061 0.0613372921705175 0.156305409983516 -0.145022990863659 0.204743052224967 ID=MOR 1120 npp left LM=6 -0 0.36077 -0.156623595191689 0.140239977088171 0.264510726095816 0.20359537654983 0.110047693473607 0.142208746095188 -0.137379599407388 0.0801240839943604 ID=MOR 1122-7-22-00-1 npp right LM=6 -0 0.30135 -0.235880449150734 0.164673612966796 0.205737709412727 0.111708260972741 0.112115710540172 0.289622383536602 -0.154969259386533 0.250650952388295 ID=MOR 1199 npp left LM=6 -0 0.52528 -0.455101280578633 -0.0449011195666785 0.312486326471382 0.216870217377656 0 529   .153398110936702 -0.640047809974445 1570950717 -0.0679874017650657 .1326972825909 -0.695519873970274 .323821372952999 -0.158150112911038 .388670541647212 0.122683314851575 .234037985905272 0.125467336405752 .131588049545932 0.348977296528784 .168079584166092 0.256542039095202 =MOR 2951 npp left M=6 .375129659386037 -0.560581993127639 .510458435312511 0.0451376590006122 .3465283421525 -0.0266668417837151 .270107185559935 0.160427692483118 .0691237545331075 0.236806602510503 .128031373867017 0.14487688091712 =MOR 3011 npp left M=6 .22931955295671 -0.703592711840865 .404589690933868 0.0306636186457497 .339196865720462 0.201349888598919 .250991090895544 0.115715637973248 .0490271543110182 0.134451316087151 .136091517463259 0.221412250535798 =MOR 3027 npp left M=6 .257826748075668 -0.587334797445666 .456820038194782 -0.0306248332769107 -0.149736401210314 0.166514896257278 ID=MOR 2574 npp left LM=6 -0 0.46525 -0.419475675350844 0.155934394771926 0.228707334449895 0.0903193395627678 0.0359143968974732 0.163522707251585 -0.15699951601054 0.298258770153232 ID=MOR 2702 npp right LM=6 -0 0 -0 0 0 -0 ID L -0 0 -0 0 0 -0 ID L -0 0 -0 0 0 -0 ID L -0 0 530   -0.430571851414456 0.0802521102349132 0.281517112260161 0.159121891071978 0.0736842747158105 0.247960941612826 -0.123622825680629 0.130624687802859 ID=MOR 3045 npp left LM=6 -0.480383729530141 -0.563676707702316 0.523487279575468 0.195973055038245 -0.327212527850499 -0.00382393217083084 0.271341617163262 0.18789025049763 0.11202815228622 0.143458745671477 -0.0992607916443093 0.0401785886657946 ID= RTMP 2002.57.7