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Analytical methods for a stochastic mainland–island metapopulation model

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  • Buckley, F.M.
  • Pollett, P.K.

Abstract

We study a class of chain-binomial metapopulation models, giving special attention to the ‘mainland–island’ configuration, where patches receive immigrants from an external source. We evaluate the distribution of the number nt of occupied patches at any census time t and establish a law of large numbers that identifies a deterministic trajectory which can be used to approximate the process when the number of patches is large. We also establish a central limit law, which shows that the fluctuations about this trajectory are approximately normally distributed. We describe briefly much finer results that can be used for model calibration.

Suggested Citation

  • Buckley, F.M. & Pollett, P.K., 2010. "Analytical methods for a stochastic mainland–island metapopulation model," Ecological Modelling, Elsevier, vol. 221(21), pages 2526-2530.
    • Handle: RePEc:eee:ecomod:v:221:y:2010:i:21:p:2526-2530
    DOI: 10.1016/j.ecolmodel.2010.02.017
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    References listed on IDEAS

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    1. Rout, T.M. & Hauser, C.E. & Possingham, H.P., 2007. "Minimise long-term loss or maximise short-term gain?," Ecological Modelling, Elsevier, vol. 201(1), pages 67-74.
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