Cited by 180Genetic diversity and population structureEvolution and Genetic DynamicsGenetic and phenotypic traits in livestock

Neutral additive genetic variance in a metapopulation

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WHITLOCK, MICHAEL C.·1999·Genetical Research

Abstract

For neutral, additive quantitative characters, the amount of additive genetic variance within and among populations is predictable from Wright's FST, the effective population size and the mutational variance. The structure of quantitative genetic variance in a subdivided metapopulation can be predicted from results from coalescent theory, thereby allowing single-locus results to predict quantitative genetic processes. The expected total amount of additive genetic variance in a metapopulation of diploid individual is given by 2 Ne σ 2m (1 + FST), where FST is Wright's among-population fixation index, Ne is the eigenvalue effective size of the metapopulation, and σ 2m is the mutational variance. The expected additive genetic variance within populations is given by 2 Ne σ 2e(1 − FST), and the variance among demes is given by 4 FSTNe σ 2m. These results are general with respect to the types of population structure involved. Furthermore, the dimensionless measure of the quantitative genetic variance among populations, QST, is shown to be generally equal to FST for the neutral additive model. Thus, for all population structures, a value of QST greater than FST for neutral loci is evidence for spatially divergent evolution by natural selection.

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  • When traits evolve neutrally, QST is expected to be equal to FST at putatively neutral sites.

    “When traits evolve neutrally, QST is expected to be equal to FST at putatively neutral sites, which measures the genetic variation among populations (27).”

    From Heritability within groups is uninformative about differences among groups: Cases from behavioral, evolutionary, and statistical genetics (2024) · cites this paper as [27]

    Section 4 states that QST is expected to equal FST for neutral additive quantitative traits and neutral marker loci in the low-mutation limit. The citing sentence omits those conditions: the Conclusions (section 9) explain that dominance can make QST greater or less than FST even for neutral traits. (LLM, conf=0.87)

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Research works printed but not linked: 10

  1. Barton, N. H. & Wilson, I. (1995). Genealogies and geography. Philosophical Transactions of the Royal Society London, Series B 349, 49-59.
  2. Cockerham, C. C. & Tachida, H. (1988). Permanency of response to selection for quantitative characters in finite populations. Proceedings of the National Academy of Sciences of the USA 85, 1563-1565.
  3. Ewens, W. J. (1989). The effective population size in the presence of catastrophes. In Mathematical E olutionary Theory (ed. M. Feldman), pp. 9, 25. Princeton : Princeton University Press.
  4. Goodnight, C. (1999). Quantitative trait loci and gene interaction : the quantitative genetics of metapopulations. Heredity, in press.
  5. Hedrick, P. W. & Gilpin, M. E. (1997). Genetic effective size of a metapopulation. In Metapopulation Biology : Ecology, Genetics, and E olution (ed. I. A. Hanski & M. E. Gilpin), pp. 166-182. San Diego : Academic Press.
  6. Lynch, M. (1994). Neutral models of phenotypic evolution. In Ecological Genetics (ed. L. A. Real), pp. 86-108. Princeton : Princeton University Press.
  7. Nagylaki, T. (1980). The strong-migration limit in geo- graphically structured populations. Journal of Math- ematical Biology 9, 101-114.
  8. Nei, N. & Takahata, N. (1993). Effective population size, genetic diversity and coalescence time in subdivided populations. Journal of Molecular E olution 37, 240-244.
  9. Wilkinson-Herbots, H. M. (1998). Genealogy and sub- population differentiation under various models of popu- lation structure. Journal of Mathematical Biology 37, 535-585.
  10. Wright, S. (1969). E olution and the Genetics of Populations. II. The Theory of Gene Frequencies. Chicago : University of Chicago Press.

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Authors
WHITLOCK, M. C.
Affiliations
University of British Columbia (CA)
Corresponding author
WHITLOCK, MICHAEL C.
Venue
Genetical Research
Published
1999-12
Volume
74
Issue
3
Pages
215-221
ISSN
  • 0016-6723 (ISSN-L)
  • 1469-5073
OpenAlex
W2103420003
Cited by
180
References
0
Citations by year
2026: 1 · 2025: 2 · 2024: 4 · 2023: 4 · 2022: 3 · 2021: 3 · 2020: 4 · 2019: 8 · 2018: 9 · 2017: 3 · 2016: 7 · 2015: 7 · 2014: 10 · 2013: 8 · 2012: 5
FWCI
0.55
Type
journal article
Language
en
Open access
Locations
  • Genetics Research (publishedVersion)
  • PubMed (publishedVersion)
Topics
  • Life Sciences › Biochemistry, Genetics and Molecular Biology › Genetics › Genetic diversity and population structure
  • Life Sciences › Biochemistry, Genetics and Molecular Biology › Genetics › Evolution and Genetic Dynamics
  • Life Sciences › Biochemistry, Genetics and Molecular Biology › Genetics › Genetic and phenotypic traits in livestock
Keywords
additive genetic variance, metapopulation, FST, quantitative sensory testing, mutational variance, effective population size, coalescent theory, population structure, neutral loci, quantitative genetics
MeSH terms
Animals, Epistasis, Genetic, Genetics, Population, Models, Genetic, Mutation, Genetic Variation

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