Stochastic differential equation based on a multimodal potential to model movement data in ecology - Archive ouverte HAL
Article Dans Une Revue Journal of the Royal Statistical Society: Series C Applied Statistics Année : 2018

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

Résumé

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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Dates et versions

hal-01207001 , version 1 (29-09-2015)
hal-01207001 , version 2 (18-11-2016)
hal-01207001 , version 3 (20-09-2017)

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Pierre Gloaguen, Marie-Pierre Etienne, Sylvain Le Corff. Stochastic differential equation based on a multimodal potential to model movement data in ecology. Journal of the Royal Statistical Society: Series C Applied Statistics, 2018, 67 (3). ⟨hal-01207001v3⟩
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