Duality between the two-locus Wright-Fisher Diffusion Model and the Ancestral Process with Recombination

Shuhei Mano

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arXiv · 1201.5557

Duality between the two-locus Wright-Fisher Diffusion Model and the Ancestral Process with Recombination

Shuhei Mano

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Abstract

Known results on the moments of the distribution generated by the two-locus Wright-Fisher diffusion model and a duality between the diffusion process and the ancestral process with recombination are briefly summarized. A numerical methods for computing moments by a Markov chain Monte Carlo and a method to compute closed-form expressions of the moments are presented. By using the duality argument properties of the ancestral recombination graph are studied in terms of the moments.

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Shuhei Mano. 2012-02-18. Duality between the two-locus Wright-Fisher Diffusion Model and the Ancestral Process with Recombination. https://arxiv.org/abs/1201.5557

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