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Genetic Drift in an Infinite Population: The Pseudohitchhiking Model

2000/06/01 by John H. Gillespie · 4 citations
Biochemistry, Genetics and Molecular Biology · Mathematics · #Evolution and Genetic Dynamics #Genetic Mapping and Diversity in Plants and Animals #Genetic and phenotypic traits in livestock #Genetic drift #Coalescent theory #Neutral theory of molecular evolution #Locus (genetics) #Markov chain #Population #Genetic model #Statistical physics #Biology #Allele frequency #Genetics #Neutral mutation #Allele #Population genetics #Genetic variation #Physics #Mathematics #Gene #Statistics #Phylogenetic tree

paper · doi:10.1093/genetics/155.2.909

openalex publication_date 2000/06/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/25

Abstract

Selected substitutions at one locus can induce stochastic dynamics that resemble genetic drift at a closely linked neutral locus. The pseudohitchhiking model is a one-locus model that approximates these effects and can be used to describe the major consequences of linked selection. As the changes in neutral allele frequencies when hitchhiking are rapid, diffusion theory is not appropriate for studying neutral dynamics. A stationary distribution and some results on substitution processes are presented that use the theory of continuous-time Markov processes with discontinuous sample paths. The coalescent of the pseudohitchhiking model is shown to have a random number of branches at each node, which leads to a frequency spectrum that is different from that of the equilibrium neutral model. If genetic draft, the name given to these induced stochastic effects, is a more important stochastic force than genetic drift, then a number of paradoxes that have plagued population genetics disappear.

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