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dc.contributor.authorFlagg, Kenneth A.
dc.contributor.authorHoegh, Andrew
dc.contributor.authorBorkowski, John J.
dc.identifier.citationFlagg, Kenneth A., Andrew Hoegh, and John J. Borkowski. “Modeling Partially Surveyed Point Process Data: Inferring Spatial Point Intensity of Geomagnetic Anomalies.” Journal of Agricultural, Biological and Environmental Statistics 25, no. 2 (March 12, 2020): 186–205. doi:10.1007/s13253-020-00387-2.en_US
dc.description.abstractMany former military training sites contain unexploded ordnance (UXO) and require environmental remediation. For the first phase of UXO remediation, locations of geomagnetic anomalies are recorded over a subregion of the study area to infer the spatial intensity of anomalies and identify high concentration areas. The data resulting from this sampling process contain locations of anomalies across narrow regions that are surveyed; however, the surveyed regions only constitute a small proportion of the entire study area. Existing methods for analysis require selecting a window size to transform the partially surveyed point pattern to a point-referenced dataset. To model the partially surveyed point pattern and infer intensity of anomalies at unsurveyed regions, we propose a Bayesian spatial Poisson process model with a Dirichlet process mixture as the inhomogeneous intensity function. A data augmentation step is used to impute anomalies in unsurveyed locations and reconstruct clusters of anomalies that span surveyed and unsurveyed regions. To verify that data augmentation reconstructs the underlying structure of the data, we demonstrate fitting the model to simulated data, using both the full study area and two different sampled subregions. Finally, we fit the model to data collected at the Victorville Precision Bombing range in southern California to estimate the intensity surface in anomalies per acre.en_US
dc.rightsThis is a post-peer-review, pre-copyedit version of an article published in Journal of Agricultural, Biological and Environmental Statistics. The final authenticated version is available online at: The following terms of use apply:
dc.titleModeling Partially Surveyed Point Process Data: Inferring Spatial Point Intensity of Geomagnetic Anomaliesen_US
mus.citation.journaltitleJournal of Agricultural, Biological and Environmental Statisticsen_US
mus.relation.collegeCollege of Letters & Scienceen_US
mus.relation.departmentMathematical Sciences.en_US
mus.relation.universityMontana State University - Bozemanen_US

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