Drift variances of FSTand GST statistics obtained from a finite number of isolated populations

Masatoshi Nei, Aravinda Chakravarti

Research output: Contribution to journalArticle

Abstract

Approximate formulas for the mean and variance of the FSTor GST statistic in a finite number of isolated populations are developed under the effect of random genetic drift. Computer simulation has shown that the approximate formulas give a fairly accurate result unless the initial frequency of one of the alleles involved is close to 1 and t 2N is large, where N is the effective size of a subpopulation and t is the number of generations. It is shown that when the number of subpopulations (s) is small, the mean of FSTor GST depends on the initial gene frequencies as well as on s. When the initial frequencies of all alleles are nearly equal to each other and the number of subpopulations is large, the distribution of FST in the early generations is bell-shaped. In this case Lewontin and Krakauer's k parameter is approximately 2 or less. However, if one of the initial allele frequencies is close to 1, the distribution is skewed and leptokurtic, and the k parameter often becomes larger than 2 in later generations. Thus, even under pure random genetic drift, Lewontin and Krakauer's test of selective neutrality of polymorphic genes in terms of FST is not always valid. It is also shown that Jacquard's approximate formula for k generally gives an overestimate.

Original languageEnglish (US)
Pages (from-to)307-325
Number of pages19
JournalTheoretical Population Biology
Volume11
Issue number3
DOIs
StatePublished - 1977
Externally publishedYes

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isolated population
genetic drift
subpopulation
Gene Frequency
gene frequency
allele
statistics
alleles
Genetic Drift
computer simulation
Population
gene
Computer Simulation
genes
testing
Genes
distribution
parameter

ASJC Scopus subject areas

  • Agricultural and Biological Sciences(all)
  • Ecology, Evolution, Behavior and Systematics

Cite this

Drift variances of FSTand GST statistics obtained from a finite number of isolated populations. / Nei, Masatoshi; Chakravarti, Aravinda.

In: Theoretical Population Biology, Vol. 11, No. 3, 1977, p. 307-325.

Research output: Contribution to journalArticle

Nei, Masatoshi ; Chakravarti, Aravinda. / Drift variances of FSTand GST statistics obtained from a finite number of isolated populations. In: Theoretical Population Biology. 1977 ; Vol. 11, No. 3. pp. 307-325.
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