General theory for stochastic admixture graphs and F-statistics

TY - JOUR

T1 - General theory for stochastic admixture graphs and F-statistics

AU - Soraggi, Samuele

AU - Wiuf, Carsten

PY - 2019

Y1 - 2019

N2 - 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.

AB - 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.

KW - F-statistic

KW - Genetic drift

KW - Heterozygosity

KW - Introgression

KW - Markov graphical model

KW - Wright–Fisher model

UR - http://www.scopus.com/inward/record.url?scp=85059018908&partnerID=8YFLogxK

U2 - 10.1016/j.tpb.2018.12.002

DO - 10.1016/j.tpb.2018.12.002

M3 - Journal article

C2 - 30562538

AN - SCOPUS:85059018908

SN - 0040-5809

VL - 125

SP - 56

EP - 66

JO - Theoretical Population Biology

JF - Theoretical Population Biology

ER -