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A metapopulation model with Markovian landscape dynamics

Author

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  • McVinish, R.
  • Pollett, P.K.
  • Chan, Y.S.

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.

Suggested Citation

  • McVinish, R. & Pollett, P.K. & Chan, Y.S., 2016. "A metapopulation model with Markovian landscape dynamics," Theoretical Population Biology, Elsevier, vol. 112(C), pages 80-96.
    • Handle: RePEc:eee:thpobi:v:112:y:2016:i:c:p:80-96
    DOI: 10.1016/j.tpb.2016.08.005
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    Cited by:

    1. McKinlay, Shaun, 2017. "On beta distributed limits of iterated linear random functions," Statistics & Probability Letters, Elsevier, vol. 127(C), pages 33-41.

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