Which locus has the oldest allele?
This paper studies aspects of the distribution of non-mutant ancestors of a sample of gametes in a two-locus infinitely-many-alleles model. The ancestral process of two gametes is considered in detail. Included are algorithms for calculating the probability that the oldest allele is from the first locus, and the expected age of the oldest allele. Extensions to an r-locus model in the cases of complete linkage and independence are also studied.
Mathematics Department, Monash University, Clayton, Australia.
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Griffiths
D000483:Alleles; D005075:Biological Evolution; D002874:Chromosome Mapping; D008040:Genetic Linkage; D005828:Genetics, Population; D008433:Mathematics; D008957:Models, Genetic; D015233:Models, Statistical; D011336:Probability; D011995:Recombination, Genetic; D012984:Software