A microscopic probabilistic description of a locally regulated population and macroscopic approximations

Published: Mar 24, 2005
Abstract
We consider a discrete model that describes a locally regulated spatial population with mortality selection. This model was studied in parallel by Bolker and Pacala and Dieckmann, Law and Murrell. We first generalize this model by adding spatial dependence. Then we give a pathwise description in terms of Poisson point measures. We show that different normalizations may lead to different macroscopic approximations of this model. The first...
Paper Details
Title
A microscopic probabilistic description of a locally regulated population and macroscopic approximations
Published Date
Mar 24, 2005
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