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A Spatially-Varying Stochastic Differential Equation Model for Animal Movement

2016/03/24 by James C. Russell, Russell, James C., Ephraim M. Hanks +5 · 2 citations
Agricultural and Biological Sciences · Biochemistry, Genetics and Molecular Biology · Mathematics · #Animal Behavior and Reproduction #Applications (stat.AP) #FOS: Computer and information sciences #Insect and Arachnid Ecology and Behavior #Plant and animal studies #stat.AP

paper · pdf · doi:10.48550/arxiv.1603.07630

openalex publication_date 2016/03/24 · arxiv created 2017/02/26 · arxiv updated 2017/02/28 · openalex created_date 2022/10/03 · openalex updated_date 2026/07/28

Abstract

Animal movement exhibits complex behavior which can be influenced by unobserved environmental conditions. We propose a model which allows for a spatially-varying movement rate and spatially-varying drift through a semiparametric potential surface and a separate motility surface. These surfaces are embedded in a stochastic differential equation framework which allows for complex animal movement patterns in space. The resulting model is used to analyze the spatially-varying behavior of ants to provide insight into the spatial structure of ant movement in the nest.

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