Forward and backward diffusion approximations for haploid exchangeable population models.

DOI10.1016/S0304-4149(01)00093-XzbMath1056.92039MaRDI QIDQ1765998

Martin Möhle

Publication date: 25 February 2005

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

zbMATH Keywords

diffusion approximationpopulation geneticsWright-Fischer diffusion

Mathematics Subject Classification ID

Problems related to evolution (92D15) Diffusion processes (60J60) Genetics and epigenetics (92D10) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

Related Items (12)

Coalescent approximation for structured populations in a stationary random environment ⋮ Partitioning, duality, and linkage disequilibria in the Moran model with recombination ⋮ Duality and Asymptotics for a Class of Nonneutral Discrete Moran Models ⋮ An application of the central limit theorem to coalescence times in the structured coalescent model with strong migration ⋮ Developments in coalescent theory from single loci to chromosomes ⋮ Moran models and Wright–Fisher diffusions with selection and mutation in a one-sided random environment ⋮ Assortment by group founders always promotes the evolution of cooperation under global selection but can oppose it under local selection ⋮ Generalized population models and the nature of genetic drift ⋮ The propagation of a cultural or biological trait by neutral genetic drift in a subdivided population ⋮ Adaptive evolution of molecular phenotypes ⋮ Evolution of highly fecund haploid populations ⋮ A universal scaling law determines time reversibility and steady state of substitutions under selection

Cites Work

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• Robustness results for the coalescent
• The latent roots of certain Markov chains arising in genetics: A new approach, I. Haploid models
• The general coalescent with asynchronous mergers of ancestral lines

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