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Estimation, variance and optimal sampling of gene diversity

I. Haploid locus

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Abstract

An extension of Nei's analysis of diversity in a subdivided population is proposed for a haploid locus. The differentiation G STbecomes a natural extension of Wright's F STand generalizes Weir and Cockerham's parameter of co-ancestry by relaxing the assumption of identical correlation for all the alleles. Inter- and intrapopulation variances of the estimated diversities and differentiation are derived. Finally, the optimal sampling strategy for measuring G STwhen a fixed number of individuals can be analysed is considered. It is shown that, at a given locus, there is a unique sample size per population which yields the smallest variance of G ST,regardless of the number of populations studied. These theoretical developments are illustrated with an analysis of chloroplast DNA diversity in a forest tree. The results emphasize the necessity of sampling many populations, rather than many individuals per population, for an accurate measurement of the subdivision of gene diversity at a single locus.

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Communicated by P. M. A. Tigerstedt

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Pons, O., Petit, R.J. Estimation, variance and optimal sampling of gene diversity. Theoret. Appl. Genetics 90, 462–470 (1995). https://doi.org/10.1007/BF00221991

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  • DOI: https://doi.org/10.1007/BF00221991

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