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Evolutionarily stable mutation rate in a periodically changing environment.

K Ishii1, H Matsuda, Y Iwasa

  • 1College of General Education, Nagoya University, Nagoya 464, Japan.

Genetics
|January 1, 1989
PubMed
Summary
This summary is machine-generated.

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This study explores how mutation rates evolve under fluctuating selection. The evolutionarily stable mutation rate depends on selection strength, recombination, and fluctuation patterns, with longer periods having a greater effect.

Area of Science:

  • Evolutionary Biology
  • Population Genetics
  • Theoretical Biology

Background:

  • Mutation rates are fundamental to evolution but their regulation is complex.
  • Fluctuating selection pressures can significantly impact evolutionary dynamics.
  • Understanding the evolution of mutation rates requires theoretical modeling.

Purpose of the Study:

  • To derive a general formula for the evolutionarily stable mutation rate (μess).
  • To investigate how μess is influenced by temporally fluctuating selection.
  • To analyze the effects of recombination, selection strength, and fluctuation patterns.

Main Methods:

  • Developed a theoretical model for a haploid population with two alleles.
  • Derived a general formula for μess under various selection fluctuation scenarios.

Related Experiment Videos

  • Analyzed the mathematical relationships between μess and parameters like recombination (r) and selection strength (s).

    • Main Results:

    • When recombination is absent (r=0), μess equals the optimal mutation rate (μop).
    • Under strong selection (large s), μess is the reciprocal of the allele-specific favored duration (T).
    • Periodic fluctuations show μess depends on sT and rT, with longer periods having a greater impact (low-pass filter effect).

    Conclusions:

    • The evolutionarily stable mutation rate is shaped by the dynamics of selection.
    • Mutation rate evolution is sensitive to the patterns and strength of environmental fluctuations.
    • Positive costs for preventing mutations increase μess, potentially slowing overall evolution.