title: Stationary solutions for metapopulation Moran models with mutation and selection.
abstract: We construct an individual-based metapopulation model of population genetics featuring migration, mutation, selection, and genetic drift. In the case of a single "island," the model reduces to the Moran model. Using the diffusion approximation and time-scale separation arguments, an effective one-variable description of the model is developed. The effective description bears similarities to the well-mixed Moran model with effective parameters that depend on the network structure and island sizes, and it is amenable to analysis. Predictions from the reduced theory match the results from stochastic simulations across a range of parameters. The nature of the fast-variable elimination technique we adopt is further studied by applying it to a linear system, where it provides a precise description of the slow dynamics in the limit of large time-scale separation.
authors: Department of Ecology and Evolutionary Biology, Princeton University, Princeton, New Jersey 08544-2016, USA.|Theoretical Physics Division, School of Physics and Astronomy, The University of Manchester, Manchester M13 9PL, United Kingdom.
authors: George W A
authors: GW
authors: Constable
authors: Theoretical Physics Division, School of Physics and Astronomy, The University of Manchester, Manchester M13 9PL, United Kingdom.|Isaac Newton Institute, 20 Clarkson Road, Cambridge CB3 0EH, United Kingdom.
authors: Alan J
authors: AJ
authors: McKane
mesh_terms: D019143:Evolution, Molecular; D040961:Genetic Drift; D005828:Genetics, Population; D008957:Models, Genetic; D009154:Mutation; D012641:Selection, Genetic