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Theor Popul Biol. 2018 Dec 15;125:56-66. doi: 10.1016/j.tpb.2018.12.002. [Epub ahead of print]

General theory for stochastic admixture graphs and F-statistics.

Author information

1
Department of Mathematical Sciences, University of Copenhagen, Denmark.
2
Department of Mathematical Sciences, University of Copenhagen, Denmark. Electronic address: wiuf@math.ku.dk.

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.

KEYWORDS:

-statistic; Genetic drift; Heterozygosity; Introgression; Markov graphical model; Wright–Fisher model

PMID:
30562538
DOI:
10.1016/j.tpb.2018.12.002

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