Simulation of 'hitch-hiking' genealogies.
An ancestral influence graph is derived, an analogue of the coalescent and a composite of Griffiths' (1991) two-locus ancestral graph and Krone and Neuhauser's (1997) ancestral selection graph. This generalizes their use of branching-coalescing random graphs so as to incorporate both selection and recombination into gene genealogies. Qualitative understanding of a 'hitch-hiking' effect on genealogies is pursued via diagrammatic representation of the genealogical process in a two-locus, two-allele haploid model. Extending the simulation technique of Griffiths and Tavare (1996), computational estimation of expected times to the most recent common ancestor of samples of n genes under recombination and selection in two-locus, two-allele haploid and diploid models are presented. Such times are conditional on sample configuration. Monte Carlo simulations show that 'hitch-hiking' is a subtle effect that alters the conditional expected depth of the genealogy at the linked neutral locus depending on a mutation-selection-recombination balance.
Department of Mathematics and Statistics, Monash University, Clayton, Victoria, Australia. paul.slade@maths.monash.edu.au
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D000465:Algorithms; D000483:Alleles; D000818:Animals; D005075:Biological Evolution; D003198:Computer Simulation; D004171:Diploidy; D008040:Genetic Linkage; D006238:Haploidy; D008957:Models, Genetic; D009010:Monte Carlo Method; D009154:Mutation; D010375:Pedigree; D011995:Recombination, Genetic; D012641:Selection, Genetic