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Spatial patterns arising from plant dispersal as modelled by a correlated random walk

Published online by Cambridge University Press:  14 July 2016

R. D. Routledge
R. D. Routledge*
Affiliation:
Simon Fraser University
*
∗ Postal address: Department of Mathematics and Statistics, Simon Fraser University, Burnaby, BC, Canada V5A 1S6.
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Abstract

A correlated random walk in the plane is studied for which the direction of a step depends on the direction of the previous step. Both step direction and step length are continuous random variables. Such a random walk has been used to model the vegetative dispersal of certain plant populations. The analysis provides general conclusions about dependencies on parameters, an efficient scheme for generating numerical results, and testable predictions for plant populations.

Keywords

RHIZOME ARCHITECTUREFUNCTIONAL DIFFERENTIAL EQUATIONSPOLYMER CHAINSELEOCHARIS PALUSTRIS

Information

Type
Research Papers
Information
Journal of Applied Probability , Volume 27 , Issue 1 , March 1990, pp. 1 - 13
Copyright
Copyright © Applied Probability Trust 1990 

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