Analytical methods for a stochastic mainland–island metapopulation model

F.M. Buckley and P.K. Pollett

Ecological Modelling, 2010, vol. 221, issue 21, 2526-2530

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.

Keywords: Metapopulation; Discrete-time Markov chain; Mainland–island; Chain-binomial model; Seasonal phases (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:eee:ecomod:v:221:y:2010:i:21:p:2526-2530

DOI: 10.1016/j.ecolmodel.2010.02.017

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