English

A metapopulation model with Markovian landscape dynamics

Probability 2016-09-15 v2 Populations and Evolution

Abstract

We study a variant of Hanski's incidence function model that allows habitat patch characteristics to vary over time following a Markov process. The widely studied case where patches are classified as either suitable or unsuitable is included as a special case. For large metapopulations, we determine a recursion for the probability that a given habitat patch is occupied. This recursion enables us to clarify the role of landscape dynamics in the survival of a metapopulation. In particular, we show that landscape dynamics affects the persistence and equilibrium level of the metapopulation primarily through its effect on the distribution of a local population's life span.

Keywords

Cite

@article{arxiv.1412.0719,
  title  = {A metapopulation model with Markovian landscape dynamics},
  author = {R. McVinish and P. K. Pollett and Y. S. Chan},
  journal= {arXiv preprint arXiv:1412.0719},
  year   = {2016}
}

Comments

This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/

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