A spectral theory for Wright's inbreeding coefficients and related quantities.

ABSTRACT: Wright's inbreeding coefficient, FST, is a fundamental measure in population genetics. Assuming a predefined population subdivision, this statistic is classically used to evaluate population structure at a given genomic locus. With large numbers of loci, unsupervised approaches such as principal component analysis (PCA) have, however, become prominent in recent analyses of population structure. In this study, we describe the relationships between Wright's inbreeding coefficients and PCA for a model of K discrete populations. Our theory provides an equivalent definition of FST based on the decomposition of the genotype matrix into between and within-population matrices. The average value of Wright's FST over all loci included in the genotype matrix can be obtained from the PCA of the betwee

SUBMITTER: Francois O 

PROVIDER: S-EPMC8320931 | biostudies-literature | 2021 Jul

REPOSITORIES: biostudies-literature