Sample genealogies and genetic variation in populations of variable size

Details Sample genealogies and genetic variation in populations of variable size Sample genealogies and genetic variation in populations of variable size

2009-11-30

arxiv.org/abs/0911.5672v1

Genetics 186 (2010) 601

Biology

Quantitative Biology

Populations and Evolution

19 pages, 8 figures, 1 table

Scientific paper

10.1534/genetics.103.018002

We consider neutral evolution of a large population subject to changes in its population size. For a population with a time-variable carrying capacity we have computed the distributions of the total branch lengths of its sample genealogies. Within the coalescent approximation we have obtained a general expression, Eq. (27), for the moments of these distributions for an arbitrary smooth dependence of the population size on time. We investigate how the frequency of population-size variations alters the distributions. This allows us to discuss their influence on the distribution of the number of mutations, and on the population homozygosity in populations with variable size.

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