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The Limiting Behaviour of Hanski's Incidence Function Metapopulation Model

Published online by Cambridge University Press:  19 February 2016

R. McVinish*
Affiliation:
University of Queensland
P. K. Pollett*
Affiliation:
University of Queensland
*
Postal address: School of Mathematics and Physics, University of Queensland, Brisbane, QLD 4072, Australia. Email address: [email protected].
∗∗ Email address: [email protected].
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Abstract

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Hanski's incidence function model is one of the most widely used metapopulation models in ecology. It models the presence/absence of a species at spatially distinct habitat patches as a discrete-time Markov chain whose transition probabilities are determined by the physical landscape. In this analysis, the limiting behaviour of the model is studied as the number of patches increases and the size of the patches decreases. Two different limiting cases are identified depending on whether or not the metapopulation is initially near extinction. Basic properties of the limiting models are derived.

Type
Research Article
Copyright
© Applied Probability Trust 

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