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

Pierre Gloaguen; Marie-Pierre Etienne; Sylvain Le Corff

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arXiv · 1509.09103

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

Pierre Gloaguen·Marie-Pierre Etienne·Sylvain Le Corff

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Abstract

This 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 pseudo-likelihood 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 vessels trajectories. We show that the usual Euler method performs worse than the other procedures for all sampling schemes.

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Pierre Gloaguen, Marie-Pierre Etienne, Sylvain Le Corff. 2015-09-30. Stochastic differential equation based on a multimodal potential to model movement data in ecology. https://arxiv.org/abs/1509.09103

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