### Abstract

Approximate formulas for the mean and variance of the F_{ST}or G_{ST} 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 F_{ST}or G_{ST} 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 F_{ST} 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 F_{ST} is not always valid. It is also shown that Jacquard's approximate formula for k generally gives an overestimate.

Original language | English (US) |
---|---|

Pages (from-to) | 307-325 |

Number of pages | 19 |

Journal | Theoretical Population Biology |

Volume | 11 |

Issue number | 3 |

DOIs | |

State | Published - 1977 |

Externally published | Yes |

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### ASJC Scopus subject areas

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

### Cite this

*Theoretical Population Biology*,

*11*(3), 307-325. https://doi.org/10.1016/0040-5809(77)90014-4

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

Research output: Contribution to journal › Article

*Theoretical Population Biology*, vol. 11, no. 3, pp. 307-325. https://doi.org/10.1016/0040-5809(77)90014-4

}

TY - JOUR

T1 - Drift variances of FSTand GST statistics obtained from a finite number of isolated populations

AU - Nei, Masatoshi

AU - Chakravarti, Aravinda

PY - 1977

Y1 - 1977

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0017504006&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0017504006&partnerID=8YFLogxK

U2 - 10.1016/0040-5809(77)90014-4

DO - 10.1016/0040-5809(77)90014-4

M3 - Article

C2 - 877909

AN - SCOPUS:0017504006

VL - 11

SP - 307

EP - 325

JO - Theoretical Population Biology

JF - Theoretical Population Biology

SN - 0040-5809

IS - 3

ER -