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.
Shuhei Mano. "Duality between the two-locus Wright–Fisher diffusion model and the ancestral process with recombination." J. Appl. Probab. 50 (1) 256 - 271, March 2013. https://doi.org/10.1239/jap/1363784437