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

DOI10.1239/jap/1363784437zbMath1302.92075arXiv1201.5557OpenAlexW2964010051MaRDI QIDQ4918576

Shuhei Mano

Publication date: 25 April 2013

Published in: Journal of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.5557

zbMATH Keywords

dualitydiffusion processpopulation geneticsrecombinationancestral graph

Mathematics Subject Classification ID

Problems related to evolution (92D15) Monte Carlo methods (65C05) Genetics and epigenetics (92D10) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

Related Items

Partitioning, duality, and linkage disequilibria in the Moran model with recombination ⋮ A coalescent dual process for a Wright-Fisher diffusion with recombination and its application to haplotype partitioning

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Duality, ancestral and diffusion processes in models with selection
• On the two-locus sampling distribution
• Diffusion processes in population genetics
• The coalescent
• Ancestral processes with selection
• Hitting and return times in ergodic dynamical systems
• A limit theorem for two-locus diffusion models in population genetics
• Ancestral Graph with Bias in Gene Conversion
• The neutral two-locus model as a measure-valued diffusion
• SOLUTION OF A PROCESS OF RANDOM GENETIC DRIFT WITH A CONTINUOUS MODEL