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.
Original language | English (US) |
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Pages (from-to) | 353-372 |
Number of pages | 20 |
Journal | Journal of Agricultural, Biological, and Environmental Statistics |
Volume | 22 |
Issue number | 3 |
DOIs | |
State | Published - Sep 1 2017 |
All Science Journal Classification (ASJC) codes
- Statistics and Probability
- Environmental Science(all)
- Agricultural and Biological Sciences (miscellaneous)
- Agricultural and Biological Sciences(all)
- Statistics, Probability and Uncertainty
- Applied Mathematics