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

@article{Alberti2021SolvingTM, title={Solving the migration–recombination equation from a genealogical point of view}, author={F. Alberti and E. Baake and I. Letter and S. Mart{\'i}nez}, journal={Journal of Mathematical Biology}, year={2021}, volume={82} }

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 partitioning process, backward in time. This way, we obtain a stochastic representation of the solution of the migration–recombination equation. As a… Expand

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