Coalescent approximation for structured populations in a stationary random environment

Details Coalescent approximation for structured populations in a stationary random environment Coalescent approximation for structured populations in a stationary random environment

2010-01-17

arxiv.org/abs/1001.2907v2

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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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