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

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.

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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

Information

Published: March 2013
First available in Project Euclid: 20 March 2013

zbMATH: 1302.92075
MathSciNet: MR3076785
Digital Object Identifier: 10.1239/jap/1363784437

Subjects:
Primary: 60K35
Secondary: 60J70 , 92D15 , 92D25

Keywords: ancestral graph , diffusion process , Duality , Population genetics , recombination

Rights: Copyright © 2013 Applied Probability Trust

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Vol.50 • No. 1 • March 2013
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