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OPTIMIZATION MODELS, QUANTITATIVE GENETICS, AND MUTATION.

Brian Charlesworth1

  • 1Department of Ecology and Evolution, University of Chicago, 1103 E. 57th St., Chicago, IL, 60637.

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Summary

Evolutionary optimization and quantitative genetics reveal how functional constraints shape life-history traits. Trade-offs exist, but positive genetic correlations don't rule out complex trait interactions.

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Area of Science:

  • Evolutionary Biology
  • Quantitative Genetics
  • Life-History Theory

Background:

  • Selection acts on multivariate traits with functional constraints.
  • Life-history characteristics are key areas of study.
  • Understanding these processes integrates evolutionary optimization and quantitative genetics.

Purpose of the Study:

  • To explore selection on multivariate traits under functional constraints.
  • To connect functional constraints with the additive genetic variance-covariance matrix.
  • To reconcile evolutionary optimization theory and quantitative genetics approaches.

Main Methods:

  • Derivation of approximate formulas relating functional constraints and genetic variance-covariance matrix under weak selection.
  • Analysis of life-history traits within a multivariate framework.
  • Modeling the effects of mutations impacting resource utilization efficiency.

Main Results:

  • Equilibrium conditions under selection are approximately equivalent between the two theoretical approaches.
  • Expected genetic correlations include large negative, small negative, and some positive correlations.
  • Positive genetic correlations do not preclude underlying trade-offs among multivariate traits.
  • Mutations reducing resource utilization can create positive genetic covariances, especially after inbreeding.

Conclusions:

  • The relationship between functional constraints and genetic correlations is complex.
  • Population means of constrained traits may equilibrate far from individual optima.
  • Positive genetic correlations can arise from specific mutations and inbreeding, not solely from trade-offs.