On the structure pf genealogical trees in the presence of selection

P. R. A. Campos; M. T. Sonoda; J. F. Fontanari

doi:10.1016/s0378-4371(00)00122-9

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arXiv · cond-mat/9910520

On the structure pf genealogical trees in the presence of selection

P. R. A. Campos·M. T. Sonoda·J. F. Fontanari

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Abstract

We investigate through numerical simulations the effect of selection on two summary statistics for nucleotide variation in a sample of two genes from a population of N asexually reproducing haploid individuals. One is the mean time since two individuals had their most recent common ancestor ($\bar{T_s}$), and the other is the mean number of nucleotide differences between two genes in the sample ($\bar{d_s}$). In the case of diminishing epistasis, in which the deleterious effect of a new mutation is attenuated, we find that the scale of $\bar{d_s}$ with the population size depends on the mutation rate, leading then to the onset of a sharp threshold phenomenon as N becomes large.

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P. R. A. Campos, M. T. Sonoda, J. F. Fontanari. 1999-11-01. On the structure pf genealogical trees in the presence of selection. https://doi.org/10.1016/s0378-4371(00)00122-9

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