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On models of quantitative genetic variability: a stabilizing selection-balance model.

L A Zhivotovsky1, M W Feldman

  • 1Institute of General Genetics, Russian Academy of Sciences, Moscow.

Genetics
|April 1, 1992
PubMed
Summary

This study introduces a new model for stabilizing selection, explaining how genetic variation and linkage disequilibrium can be maintained. It shows how heterozygotes can be favored, leading to unequal allele frequencies and reduced genetic variance.

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Area of Science:

  • Evolutionary biology
  • Quantitative genetics

Background:

  • Stabilizing selection favors intermediate phenotypes.
  • Lerner's model of homeostasis suggests heterozygote advantage under environmental variation.
  • Polymorphism and linkage disequilibrium are crucial in maintaining genetic variation.

Purpose of the Study:

  • To propose a generalized model of stabilizing selection on multilocus characters.
  • To investigate the maintenance of allelic polymorphism and linkage disequilibrium.
  • To analyze the conditions under which heterozygotes are favored.

Main Methods:

  • Developed a mathematical model generalizing Lerner's homeostasis model.
  • Analyzed weak selection using a quadratic-deviation model for stabilizing selection.
  • Characterized the stationary state of the system.

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Main Results:

  • The model allows for the maintenance of stable allelic polymorphism and linkage disequilibrium.
  • Unequal allele frequencies and unequal proportions of complementary gametes are observed.
  • Linkage disequilibrium reduces genetic and phenotypic variance.

Conclusions:

  • The proposed model provides a framework for understanding the role of stabilizing selection in maintaining genetic variation.
  • It highlights the importance of linkage disequilibrium in quantitative inheritance.
  • The findings offer insights into evolutionary processes shaping complex traits.