Coalescent approximation for structured populations in a stationary random environment
Journal article, 2010

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.

size

Structured Wright-Fisher model

strong-migration limit

convergence

environment

markov-chains

Quenched effective population size

Stationary random

Kingman's coalescent

Mohle's lemma

Author

Serik Sagitov

University of Gothenburg

Chalmers, Mathematical Sciences, Mathematical Statistics

Peter Jagers

University of Gothenburg

Chalmers, Mathematical Sciences, Mathematical Statistics

V.A. Vatutin

Russian Academy of Sciences

Theoretical Population Biology

0040-5809 (ISSN) 1096-0325 (eISSN)

Vol. 78 3 192-199

Subject Categories

Probability Theory and Statistics

DOI

10.1016/j.tpb.2010.06.008

More information

Latest update

4/16/2018