Reflected Stochastic Differential Equation Models for 1 Constrained Animal Movement

5 Movement for many animal species is constrained in space by barriers such as rivers, shore6 lines, or impassable cliffs. We develop an approach for modeling animal movement con7 strained in space by considering a class of constrained stochastic processes, reflected stochas8 tic differential equations. Our approach generalizes existing methods for modeling uncon9 strained animal movement. We present methods for simulation and inference based on 10 augmenting the constrained movement path with a latent unconstrained path and illustrate 11 this augmentation with a simulation example and an analysis of telemetry data from a Steller 12 sea lion (Eumatopias jubatus) in southeast Alaska. 13