Stochastic differential equation based on a multimodal potential to model movement data in ecology

Pierre Gloaguen, Marie‐Pierre Etienne and Sylvain Le Corff

Journal of the Royal Statistical Society Series C, 2018, vol. 67, issue 3, 599-619

Abstract: The paper proposes a new model for individuals’ movement in ecology. The movement process is defined as a solution to a stochastic differential equation whose drift is the gradient of a multimodal potential surface. This offers a new flexible approach among the popular potential‐based movement models in ecology. To perform parameter inference, the widely used Euler method is compared with two other pseudolikelihood procedures and with a Monte Carlo expectation–maximization approach based on exact simulation of diffusions. Performances of all methods are assessed with simulated data and with a data set of fishing vessel trajectories. We show that the usual Euler method performs worse than the other procedures for all sampling schemes.

Date: 2018
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https://doi.org/10.1111/rssc.12251

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