scholarly journals Duality Between the Two-Locus Wright–Fisher Diffusion Model and the Ancestral Process with Recombination

2013 ◽  
Vol 50 (01) ◽  
pp. 256-271 ◽  
Author(s):  
Shuhei Mano
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Markov Chain ◽  
Markov Chain Monte Carlo ◽  
Diffusion Process ◽  
Closed Form ◽  
Numerical Method ◽  
Diffusion Model ◽  
Ancestral Recombination Graph ◽  
Duality Argument

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.

scholarly journals Duality Between the Two-Locus Wright–Fisher Diffusion Model and the Ancestral Process with Recombination

2013 ◽  
Vol 50 (1) ◽  
pp. 256-271 ◽  
Author(s):  
Shuhei Mano
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Markov Chain ◽  
Markov Chain Monte Carlo ◽  
Diffusion Process ◽  
Closed Form ◽  
Numerical Method ◽  
Diffusion Model ◽  
Ancestral Recombination Graph ◽  
Duality Argument

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.

Sign in / Sign up

Export Citation Format

Share Document