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On time scale invariance of random walks in confined space.

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journal contribution
posted on 2015-01-20, 14:49 authored by Daniel Bearup, Sergei Petrovskii
Animal movement is often modelled on an individual level using simulated random walks. In such applications it is preferable that the properties of these random walks remain consistent when the choice of time is changed (time scale invariance). While this property is well understood in unbounded space, it has not been studied in detail for random walks in a confined domain. In this work we undertake an investigation of time scale invariance of the drift and diffusion rates of Brownian random walks subject to one of four simple boundary conditions. We find that time scale invariance is lost when the boundary condition is non-conservative, that is when movement (or individuals) is discarded due to boundary encounters. Where possible analytical results are used to describe the limits of the time scaling process, numerical results are then used to characterise the intermediate behaviour.

History

Citation

Journal of Theoretical Biology, 2014, 367, pp 230–245

Author affiliation

/Organisation/COLLEGE OF SCIENCE AND ENGINEERING/Department of Mathematics

Version

  • VoR (Version of Record)

Published in

Journal of Theoretical Biology

Publisher

Elsevier for Academic Press

eissn

1095-8541

isbn

0022-5193

Copyright date

2014

Available date

2015-12-04

Publisher version

http://www.sciencedirect.com/science/article/pii/S0022519314006791

Language

en

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