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arXiv · 1001.2907

Coalescent approximation for structured populations in a stationary random environment

Serik Sagitov·Peter Jagers·Vladimir Vatutin
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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.

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Serik Sagitov, Peter Jagers, Vladimir Vatutin. 2010-06-24. Coalescent approximation for structured populations in a stationary random environment. https://arxiv.org/abs/1001.2907

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