  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.
