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Solving the migration–recombination equation from a genealogical point of view

Solving the migration–recombination equation from a genealogical point of view

Abstract We consider the discrete-time migration–recombination equation, a deterministic, nonlinear dynamical system that describes the evolution of the genetic type distribution of a population evolving under migration and recombination in a law of large numbers setting. We relate this dynamics (forward in time) to a Markov chain, namely a labelled …