An approximate sampling formula under genetic hitchhiking

DOI10.1214/105051606000000114zbMath1115.92044arXivmath/0503485OpenAlexW3104028333WikidataQ60500187 ScholiaQ60500187MaRDI QIDQ997947

Anton Wakolbinger, Peter Pfaffelhuber, Alison M. Etheridge

Publication date: 8 August 2007

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

Full work available at URL: https://arxiv.org/abs/math/0503485

zbMATH Keywords

diffusion approximationYule processesstructured coalescentselective sweepsrandom ancestral partitionrandom background

Mathematics Subject Classification ID

Problems related to evolution (92D15) Applications of branching processes (60J85) Processes in random environments (60K37) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Genetics and epigenetics (92D10) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

Related Items

The fixation probability and time for a doubly beneficial mutant, The fixation probability of two competing beneficial mutations, Evolution of the ancestral recombination graph along the genome in case of selective sweep, Fixation of a deleterious allele under mutation pressure and finite selection intensity, Stochastic dynamics of adaptive trait and neutral marker driven by eco-evolutionary feedbacks, Developments in coalescent theory from single loci to chromosomes, Tree-valued Fleming-Viot dynamics with mutation and selection, Selective sweeps for recessive alleles and for other modes of dominance, Analysis and rejection sampling of Wright-Fisher diffusion bridges, The effect of recurrent mutation on the linkage disequilibrium under a selective sweep, The tree length of an evolving coalescent, Approximating genealogies for partially linked neutral loci under a selective sweep, The joint allele frequency spectrum of multiple populations: a coalescent theory approach, An eco-evolutionary approach of adaptation and recombination in a large population of varying size, Quenched law of large numbers for branching Brownian motion in a random medium, The ancestral selection graph under strong directional selection, Genetic hitchhiking in spatially extended populations, Selective sweep and the size of the hitchhiking set, Genealogies of two linked neutral loci after a selective sweep in a large population of stochastically varying size, Random partitions approximating the coalescence of lineages during a selective sweep

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