Reflected Stochastic Differential Equation Models for Constrained Animal Movement |
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| Authors: | Ephraim M Hanks Devin S Johnson Mevin B Hooten |
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| Institution: | 1.Department of Statistics,The Pennsylvania State University,State College,USA;2.Alaska Fisheries Science Center,NOAA Fisheries,Seattle,USA;3.Colorado Cooperative Fish and Wildlife Research Unit,U.S. Geological Survey,Fort Collins,USA;4.Departments of Fish, Wildlife, and Conservation Biology and Statistics,Colorado State University,Fort Collins,USA |
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| Abstract: | Movement for many animal species is constrained in space by barriers such as rivers, shorelines, or impassable cliffs. We develop an approach for modeling animal movement constrained in space by considering a class of constrained stochastic processes, reflected stochastic differential equations. Our approach generalizes existing methods for modeling unconstrained animal movement. We present methods for simulation and inference based on augmenting the constrained movement path with a latent unconstrained path and illustrate this augmentation with a simulation example and an analysis of telemetry data from a Steller sea lion (Eumatopias jubatus) in southeast Alaska. |
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