General theory for stochastic admixture graphs and F-statistics

Samuele Soraggi; Carsten Wiuf

doi:10.1016/j.tpb.2018.12.002

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arXiv · 1807.07593

General theory for stochastic admixture graphs and F-statistics

Samuele Soraggi·Carsten Wiuf

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Abstract

We provide a general mathematical framework based on the theory of graphical models to study admixture graphs. Admixture graphs are used to describe the ancestral relationships between past and present populations, allowing for population merges and migration events, by means of gene flow. We give various mathematical properties of admixture graphs with particular focus on properties of the so-called $F$-statistics. Also the Wright-Fisher model is studied and a general expression for the loss of heterozygosity is derived.

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Samuele Soraggi, Carsten Wiuf. 2018-07-19. General theory for stochastic admixture graphs and F-statistics. https://doi.org/10.1016/j.tpb.2018.12.002

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