Hierarchically Interacting Fleming-Viot Processes With Selection and Mutation: Multiple Space Time Scale Analysis and Quasi-Equilibria
Donald A. Dawson, Carleton University
Andreas Greven, Universitat Erlangen-Nurnberg
Abstract
Genetic models incorporating resampling and migration are
now fairly well-understood. Problems arise in the analysis, if
both selection and mutation
are incorporated. This paper addresses some aspects of this
problem, in particular the
analysis of the long-time behaviour before the equilibrium is
reached (quasi-equilibrium, which is the time range of interest in
most applications).
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