Connecting deterministic and stochastic metapopulation models
Probability
2016-01-18 v4
Abstract
In this paper, we study the relationship between certain stochastic and deterministic versions of Hanski's incidence function model and the spatially realistic Levins model. We show that the stochastic version can be well approximated in a certain sense by the deterministic version when the number of habitat patches is large, provided that the presence or absence of individuals in a given patch is influenced by a large number of other patches. Explicit bounds on the deviation between the stochastic and deterministic models are given.
Keywords
Cite
@article{arxiv.1401.7064,
title = {Connecting deterministic and stochastic metapopulation models},
author = {A. D. Barbour and R. McVinish and P. K. Pollett},
journal= {arXiv preprint arXiv:1401.7064},
year = {2016}
}
Comments
The final publication is available at Springer via http://dx.doi.org/10.1007/s00285-015-0865-4