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Theor Popul Biol. 2010 Nov;78(3):192-9. doi: 10.1016/j.tpb.2010.06.008. Epub 2010 Jul 7.

Coalescent approximation for structured populations in a stationary random environment.

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  • 1Mathematical Statistics, Chalmers University of Technology and University of Gothenburg, SE-412 96 Gothenburg, Sweden.


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.

Copyright © 2010 Elsevier Inc. All rights reserved.

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