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Evolution of genetic variability in a spatially heterogeneous environment: effects of genotype–environment interaction

  • Sara Via (a1) and Russell Lande (a1)
Abstract
Summary

Classical population genetic models show that disruptive selection in a spatially variable environment can maintain genetic variation. We present quantitative genetic models for the effects of disruptive selection between environments on the genetic covariance structure of a polygenic trait. Our models suggest that disruptive selection usually does not alter the equilibrium genetic variance, although transient changes are predicted. We view a quantitative character as a set of character states, each expressed in one environment. The genetic correlation between character states expressed in different environments strongly affects the evolution of the genetic variability. (1) If the genetic correlation between character states is not ± 1, then the mean phenotype expressed in each environment will eventually attain the optimum value for that environment; this is the evolution of phenotypic plasticity (Via & Lande, 1985). At the joint phenotypic optimum, there is no disruptive selection between environments and thus no increase in the equilibrium genetic variability over that maintained by a balance between mutation and stabilizing selection within each environment. (2) If, however, the genetic correlation between character states is ± 1, the mean phenotype will not evolve to the joint phenotypic optimum and a persistent force of disruptive selection between environments will increase the equilibrium genetic variance. (3) Numerical analyses of the dynamic equations indicate that the mean phenotype can usually be perturbed several phenotypic standard deviations from the optimum without producing transient changes of more than a few per cent in the genetic variances or correlations. It may thus be reasonable to assume a roughly constant covariance structure during phenotypic evolution unless genetic correlations among character states are extremely high or populations are frequently perturbed. (4) Transient changes in the genetic correlations between character states resulting from disruptive selection act to constrain the evolution of the mean phenotype rather than to facilitate it.

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A. D. Bradshaw (1965). Evolutionary significance of phenotypic plasticity in plants. Advances in Genetics 13, 115155.

M. G. Bulmer (1971). Stable equilibrium under the two-island model. Heredity 27, 321330.

F. B. Christiansen (1975). Hard and soft selection in a subdivided population. American Naturalist 109, 1116.

D. S. Falconer (1952). The problem of environment and selection. American Naturalist 86, 293298.

J. Felsenstein (1976). The theoretical population genetics of variable selection and migration. Annual Reviews of Genetics 10, 253280.

R. L. Fernando , S. A. Knights & D. Gianola (1984). On a method of estimating the genetic correlation between characters measured in different experimental units. Theoretical and Applied Genetics 67, 175178.

P. W. Hedrick , M. E. Ginevan & E. P. Ewing (1976). Genetic polymorphism in heterogenous environments. Annual Review of Ecology and Systematics 7, 132.

R. Lande (1979). Quantitative genetic analysis of multivariate evolution, applied to brain: body size allometry. Evolution 33, 402416.

H. Levene (1953). Genetic equilibrium when more than one ecological niche is available. American Naturalist 87, 331333.

A. Robertson (1959). The sampling variance of the genetic correlation coefficient. Biometrics 15, 469485.

R. G. Shaw (1986). Response to density in a wild population of the perennial herb Salvia lyrata: variation among families. Evolution 40, 492505.

M. Slatkin (1978). Spatial patterns in the distributions of polygenic characters. Journal of Theoretical Biology 70, 213228.

M. Turelli (1984). Heritable genetic variation via mutation–selection balance: Lerch's zeta meets the abdominal bristle. Theoretical Population Biology 25, 138193.

S. Via (1984 a). The quantitative genetics of polyphagy in an insect herbivore. I. Genotype–environment interaction in larval performance on different host plant species. Evolution 38, 881895.

S. Via & R. Lande (1985). Genotype–environment interaction and the evolution of phenotypic plasticity. Evolution 39, 505522.

G. Weber (1985). Genetic variability in host plant adaptation of the green peach aphid, Myzus persicae. Entomologia experimentalis et applicata 38, 4956.

Y. Yamada (1962). Genotype × environment interaction and genetic correlation of the same trait under different environments. Japanese Journal of Genetics 37, 498509.

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Genetics Research
  • ISSN: 0016-6723
  • EISSN: 1469-5073
  • URL: /core/journals/genetics-research
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