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

  • R. D. Routledge (a1)


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.


Corresponding author

Postal address: Department of Mathematics and Statistics, Simon Fraser University, Burnaby, BC, Canada V5A 1S6.


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