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.
Kingman's coalescent
convergence
Mohle's lemma
Quenched effective population size
Structured Wright-Fisher model
environment
markov-chains
strong-migration limit
Stationary random
size
Author
Serik Sagitov
Chalmers, Mathematical Sciences, Mathematical Statistics
University of Gothenburg
Peter Jagers
University of Gothenburg
Chalmers, Mathematical Sciences, Mathematical Statistics
V.A. Vatutin
Steklov Mathematical Institute, Russian Academy of Sciences
Theoretical Population Biology
0040-5809 (ISSN) 1096-0325 (eISSN)
Vol. 78 3 192-199Subject Categories (SSIF 2011)
Probability Theory and Statistics
DOI
10.1016/j.tpb.2010.06.008