Coalescent approximation for structured populations in a stationary random environment.
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.
Sagitov
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S
Mathematical Statistics, Chalmers University of Technology and University of Gothenburg, SE-412 96 Gothenburg, Sweden. serik@chalmers.se
Jagers
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P
Vatutin
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V
D000465:Algorithms; D025041:Animal Migration; D000818:Animals; D004641:Emigration and Immigration; D004777:Environment; D005828:Genetics, Population; D005843:Geography; D006801:Humans; D008390:Markov Chains; D008957:Models, Genetic; D015233:Models, Statistical; D009154:Mutation; D011156:Population Density; D011157:Population Dynamics