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Long-term evolution of multilocus traits

C Matessi1, C Di Pasquale

  • 1Istituto di Genetica Biochimica ed Evoluzionistica, Consiglio Nazionale delle Ricerche, Pavia, Italy. matessi@ipvgbe.igbe.pv.cnr.it

Journal of Mathematical Biology
|January 1, 1996
PubMed
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Long-term evolution equilibria maximize fitness, with linkage influencing the specific fitness measure for two traits. Mutation is crucial for the stability of these evolutionary equilibria.

Area of Science:

  • Evolutionary genetics
  • Population genetics
  • Quantitative genetics

Background:

  • Understanding long-term evolutionary trajectories is fundamental in population genetics.
  • Monomorphic equilibria represent stable states in evolutionary models.
  • Autosomal loci control continuous traits, influenced by viability selection.

Purpose of the Study:

  • To analyze monomorphic equilibria in long-term evolution for continuous traits.
  • To investigate the role of linkage and mutation in evolutionary stability.
  • To derive criteria for the local long-term stability of multi-locus trait equilibria.

Main Methods:

  • Analysis of monomorphic equilibria under constant viability selection.
  • Mathematical modeling of long-term evolutionary dynamics.

Related Experiment Videos

  • Derivation of stability criteria for 2-dimensional equilibria near long-term states.

    • Main Results:

    • Fitness maximization is a general outcome at long-term equilibria.
    • Linkage between loci modifies the fitness measure maximized for two traits.
    • Mutation can be a decisive factor in the local long-term stability of equilibria.

    Conclusions:

    • Long-term evolutionary equilibria are characterized by fitness maximization.
    • Linkage and mutation are key factors determining the stability of complex evolutionary systems.
    • The derived stability criterion provides insights into evolutionary dynamics near equilibrium.