Moment closure in a Moran model with recombination

Details Moment closure in a Moran model with recombination Moment closure in a Moran model with recombination

2011-05-04

arxiv.org/abs/1105.0793v1

Mathematics

Probability

12 pages, 3 figures, Markov Processes and Related Fields, in press

Scientific paper

We extend the Moran model with single-crossover recombination to include general recombination and mutation. We show that, in the case without resampling, the expectations of products of marginal processes defined via partitions of sites form a closed hierarchy, which is exhaustively described by a finite system of differential equations. One thus has the exceptional situation of moment closure in a nonlinear system. Surprisingly, this property is lost when resampling (i.e., genetic drift) is included.

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