Coalescent approximation for structured populations in a stationary random environment

S. Sagitov, P. Jagers and V. Vatutin

Theoretical Population Biology, 2010, vol. 78, issue 3, 192-199

Abstract: We establish convergence to the Kingman coalescent for the genealogy of a geographically–or otherwise–structured version of the Wright–Fisher population model with fast migration. The new feature is that migration probabilities may change in a random fashion. This brings a novel formula for the coalescent effective population size (EPS). We call it a quenched EPS to emphasize the key feature of our model — random environment. The quenched EPS is compared with an annealed (mean-field) EPS which describes the case of constant migration probabilities obtained by averaging the random migration probabilities over possible environments.

Keywords: Kingman’s coalescent; Structured Wright–Fisher model; Stationary random environment; Quenched effective population size; Möhle’s lemma (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:eee:thpobi:v:78:y:2010:i:3:p:192-199

DOI: 10.1016/j.tpb.2010.06.008

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