Coalescent approximation for structured populations in a stationary random environment
Artikel i vetenskaplig tidskrift, 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
Författare
Serik Sagitov
Chalmers, Matematiska vetenskaper, matematisk statistik
Göteborgs universitet
Peter Jagers
Göteborgs universitet
Chalmers, Matematiska vetenskaper, matematisk statistik
V.A. Vatutin
Steklov Mathematical Institute, Russian Academy of Sciences
Theoretical Population Biology
0040-5809 (ISSN) 1096-0325 (eISSN)
Vol. 78 3 192-199Ämneskategorier (SSIF 2011)
Sannolikhetsteori och statistik
DOI
10.1016/j.tpb.2010.06.008