Duality between the two-locus wright-fisher diffusion model and the ancestral process with recombination

Abstract

Known results on the moments of the distribution generated by the two-locus Wright- Fisher diffusion model, and the duality between the diffusion process and the ancestral process with recombination are briefly summarized. A numerical method for computing moments using a Markov chain Monte Carlo simulation and a method to compute closed form expressions of the moments are presented. By applying the duality argument, the properties of the ancestral recombination graph are studied in terms of the moments. © Applied Probability Trust 2013.