Pairwise Kinship Data Do Not Determine Multi-Way Admixture Diversity: A Group-Theoretic Illustration

Pairwise kinship data Fst is widely used to measure genetic diversity, but it fails for admixtures of three or more populations. This paper proves why using group theory: two different genetic scenarios can have identical pairwise overlaps but produce different admixture diversities (8 vs 4 in Z2,3). Simulations confirm this limitation. The lesson: use three-population f3-statistics instead of pairwise Fst for accurate admixture detection.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-08-31
DOI
https://doi.org/10.5281/zenodo.22208457
Primary Topic
Genetic diversity and population structure
Type
preprint
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preprint

Pairwise Kinship Data Do Not Determine Multi-Way Admixture Diversity: A Group-Theoretic Illustration

Amirhossein MoradiSizkouhi
Zenodo (CERN European Organization for Nuclear Research)
Genetic diversity and population structure
preprint

Pairwise Kinship Data Do Not Determine Multi-Way Admixture Diversity: A Group-Theoretic Illustration

Amirhossein MoradiSizkouhi
preprint en

Abstract

Pairwise kinship data Fst is widely used to measure genetic diversity, but it fails for admixtures of three or more populations. This paper proves why using group theory: two different genetic scenarios can have identical pairwise overlaps but produce different admixture diversities (8 vs 4 in Z2,3). Simulations confirm this limitation. The lesson: use three-population f3-statistics instead of pairwise Fst for accurate admixture detection.

Zenodo (CERN European Organization for Nuclear Research)
Reduced inequalities
Genetic diversity and population structure
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Pairwise Kinship Data Do Not Determine Multi-Way Admixture Diversity: A Group-Theoretic Illustration — Amirhossein MoradiSizkouhi · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS