Asymptotic line-of-descent distributions |
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Authors: | R C Griffiths |
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Institution: | (1) Mathematics Department, Monash University, 3168 Clayton, Victoria, Australia |
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Abstract: | Asymptotic distributions are derived for the number of non-mutant ancestors, at time t in the past, of a sample of n from a neutral infinite alleles model. Either the number of non-mutant ancestors L
n
(t) has a normal distribution or n-Ln(t) has a Poisson distribution as n , t 0. |
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Keywords: | Coalescent infinite alleles model lines of descent population genetics |
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