Codling, Edward A and Bearon, Rachel N and Thorn, Graeme J (2010) Diffusion about the mean drift location in a biased random walk. Ecology, 91 (10). pp. 3106-3113. DOI https://doi.org/10.1890/09-1729.1
Codling, Edward A and Bearon, Rachel N and Thorn, Graeme J (2010) Diffusion about the mean drift location in a biased random walk. Ecology, 91 (10). pp. 3106-3113. DOI https://doi.org/10.1890/09-1729.1
Codling, Edward A and Bearon, Rachel N and Thorn, Graeme J (2010) Diffusion about the mean drift location in a biased random walk. Ecology, 91 (10). pp. 3106-3113. DOI https://doi.org/10.1890/09-1729.1
Abstract
<jats:p>Random walks are used to model movement in a wide variety of contexts: from the movement of cells undergoing chemotaxis to the migration of animals. In a two‐dimensional biased random walk, the diffusion about the mean drift position is entirely dependent on the moments of the angular distribution used to determine the movement direction at each step. Here we consider biased random walks using several different angular distributions and derive expressions for the diffusion coefficients in each direction based on either a fixed or variable movement speed, and we use these to generate a probability density function for the long‐time spatial distribution. We demonstrate how diffusion is typically anisotropic around the mean drift position and illustrate these theoretical results using computer simulations. We relate these results to earlier studies of swimming microorganisms and explain how the results can be generalized to other types of animal movement.</jats:p>
Item Type: | Article |
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Uncontrolled Keywords: | angular distribution; animal movement; biased random walk; diffusion; dispersal; drift-diffusion |
Subjects: | Q Science > QA Mathematics Q Science > QH Natural history > QH301 Biology |
Divisions: | Faculty of Science and Health Faculty of Science and Health > Life Sciences, School of Faculty of Science and Health > Mathematics, Statistics and Actuarial Science, School of |
SWORD Depositor: | Unnamed user with email elements@essex.ac.uk |
Depositing User: | Unnamed user with email elements@essex.ac.uk |
Date Deposited: | 15 Sep 2011 12:32 |
Last Modified: | 07 Aug 2024 19:52 |
URI: | http://repository.essex.ac.uk/id/eprint/731 |
Available files
Filename: 09-1729%2E1.pdf