Journal
JOURNAL OF AGRICULTURAL BIOLOGICAL AND ENVIRONMENTAL STATISTICS
Volume 22, Issue 3, Pages 353-372Publisher
SPRINGER
DOI: 10.1007/s13253-017-0291-8
Keywords
Animal movement; Stochastic process; Reflected Brownian motion
Funding
- NSF [DEB EEID 1414296, DMS 1614392]
- NIH [GM116927-01]
- NOAA [RWO 103]
- CPW [TO 1304]
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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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