DUALITY BETWEEN THE TWO-LOCUS WRIGHT-FISHER DIFFUSION MODEL AND THE ANCESTRAL PROCESS WITH RECOMBINATION

摘要

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 closedform 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.