 Fitting parameters of stochastic birth–death models to metapopulation dataHeinrich zu Dohna and Mario Pineda-Krch Theoretical Population Biology, 2010, vol. 78, issue 2, 71-76 Abstract: Populations that are structured into small local patches are a common feature of ecological and epidemiological systems. Models describing this structure are often referred to as metapopulation models in ecology or household models in epidemiology. Small local populations are subject to demographic stochasticity. Theoretical studies of household disease models without resistant stages (SIS models) have shown that local stochasticity can be ignored for between patch disease transmission if the number of connected patches is large. In that case the distribution of the number of infected individuals per household reaches a stationary distribution described by a birth–death process with a constant immigration term. Here we show how this result, in conjunction with the balancing condition for birth–death processes, provides a framework to estimate demographic parameters from a frequency distribution of local population sizes. The parameter estimation framework is applicable to estimate parameters of disease transmission models as well as metapopulation models. Keywords: Metapopulation; Birth–death processes; SIS model; Logistic growth; Maximum likelihood (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:thpobi:v:78:y:2010:i:2:p:71-76 DOI: 10.1016/j.tpb.2010.06.004 Access Statistics for this article Theoretical Population Biology is currently edited by Jeremy Van Cleve More articles in Theoretical Population Biology from Elsevier |
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