Coalescent approximation for structured populations in a stationary random environment
Probability
2010-06-25 v2
Abstract
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.
Keywords
Cite
@article{arxiv.1001.2907,
title = {Coalescent approximation for structured populations in a stationary random environment},
author = {Serik Sagitov and Peter Jagers and Vladimir Vatutin},
journal= {arXiv preprint arXiv:1001.2907},
year = {2010}
}