Reflected Stochastic Differential Equation Models for Constrained Animal Movement

Ephraim M. Hanks (), Devin S. Johnson and Mevin B. Hooten
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Ephraim M. Hanks: The Pennsylvania State University
Devin S. Johnson: NOAA Fisheries
Mevin B. Hooten: U.S. Geological Survey

Journal of Agricultural, Biological and Environmental Statistics, 2017, vol. 22, issue 3, No 9, 353-372

Abstract: 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.

Keywords: Animal movement; Stochastic process; Reflected Brownian motion (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (4)

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DOI: 10.1007/s13253-017-0291-8

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