Correlation of heterozygosity and the number of alleles in different frequency classes

Ranajit Chakraborty; R. C. Griffiths

doi:10.1016/0040-5809(82)90014-4

Correlation of heterozygosity and the number of alleles in different frequency classes

Ranajit Chakraborty, R. C. Griffiths

School of Biomedical Sciences

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

Analytic expressions for the expectations and variance of the number of alleles with gene frequencies in a specified class are derived in the entire population as well as in a random sample of genes drawn from the population. The correlation of this quantity with heterozygosity at the locus is also obtained. The derivations are given in details for a steady state population of finite size under the infinite allele model of selectively neutral alleles. The results are extended to include weak selection pressures and non-stationarity of the population. The relevance of the correlation of heterozygosity and the number of rare alleles in connection with the neutralist-selectionist controversy is also discussed.

Original language	English
Pages (from-to)	205-218
Number of pages	14
Journal	Theoretical Population Biology
Volume	21
Issue number	2
DOIs	https://doi.org/10.1016/0040-5809(82)90014-4
State	Published - Apr 1982

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10.1016/0040-5809(82)90014-4

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title = "Correlation of heterozygosity and the number of alleles in different frequency classes",

abstract = "Analytic expressions for the expectations and variance of the number of alleles with gene frequencies in a specified class are derived in the entire population as well as in a random sample of genes drawn from the population. The correlation of this quantity with heterozygosity at the locus is also obtained. The derivations are given in details for a steady state population of finite size under the infinite allele model of selectively neutral alleles. The results are extended to include weak selection pressures and non-stationarity of the population. The relevance of the correlation of heterozygosity and the number of rare alleles in connection with the neutralist-selectionist controversy is also discussed.",

author = "Ranajit Chakraborty and Griffiths, {R. C.}",

note = "Funding Information: This work is supported by US Public Health Service Grants GM 20293, GM 28574 from the National Institutes of Health. We also thank a reviewer providing a rigorous proof for Eqs. (3) and (4) using Kingman{\textquoteright}s approach.",

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AU - Griffiths, R. C.

N1 - Funding Information: This work is supported by US Public Health Service Grants GM 20293, GM 28574 from the National Institutes of Health. We also thank a reviewer providing a rigorous proof for Eqs. (3) and (4) using Kingman’s approach.

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N2 - Analytic expressions for the expectations and variance of the number of alleles with gene frequencies in a specified class are derived in the entire population as well as in a random sample of genes drawn from the population. The correlation of this quantity with heterozygosity at the locus is also obtained. The derivations are given in details for a steady state population of finite size under the infinite allele model of selectively neutral alleles. The results are extended to include weak selection pressures and non-stationarity of the population. The relevance of the correlation of heterozygosity and the number of rare alleles in connection with the neutralist-selectionist controversy is also discussed.

AB - Analytic expressions for the expectations and variance of the number of alleles with gene frequencies in a specified class are derived in the entire population as well as in a random sample of genes drawn from the population. The correlation of this quantity with heterozygosity at the locus is also obtained. The derivations are given in details for a steady state population of finite size under the infinite allele model of selectively neutral alleles. The results are extended to include weak selection pressures and non-stationarity of the population. The relevance of the correlation of heterozygosity and the number of rare alleles in connection with the neutralist-selectionist controversy is also discussed.

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Correlation of heterozygosity and the number of alleles in different frequency classes

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