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

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  • Pierre Gloaguen
  • Marie‐Pierre Etienne
  • Sylvain Le Corff

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.

Suggested Citation

  • Pierre Gloaguen & Marie‐Pierre Etienne & Sylvain Le Corff, 2018. "Stochastic differential equation based on a multimodal potential to model movement data in ecology," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 67(3), pages 599-619, April.
    • Handle: RePEc:bla:jorssc:v:67:y:2018:i:3:p:599-619
    DOI: 10.1111/rssc.12251
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