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Complex dynamics of multilocus systems subjected to cyclical selection

V M Kirzhner1, A B Korol, E Nevo

  • 1Institute of Evolution, University of Haifa, Israel.

Proceedings of the National Academy of Sciences of the United States of America
|June 25, 1996
PubMed
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Multilocus genetic systems under cyclical stabilizing selection exhibit complex dynamics like supercycles and chaos. This expands evolutionary possibilities beyond simple models, potentially increasing long-term genetic diversity.

Area of Science:

  • Evolutionary genetics
  • Population genetics
  • Theoretical biology

Background:

  • Previous research indicated long-period oscillations ('supercycles') in two-locus systems with cyclical selection, but only within narrow parameter ranges.
  • Complex genetic dynamics were previously considered rare and limited to specific selection models.

Purpose of the Study:

  • To investigate complex limiting behaviors in multilocus genetic systems under stabilizing selection with a cyclically moving optimum.
  • To determine if such systems can generate a wider range of complex dynamics than previously observed.

Main Methods:

  • Theoretical modeling of multilocus genetic systems.
  • Analysis of population dynamics under stabilizing selection with a cyclically shifting optimal phenotype.

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Main Results:

  • Demonstrated that multilocus systems under these conditions ubiquitously generate complex limiting behaviors.
  • Observed phenomena include supercycles, T-cycles, and chaotic-like dynamics.
  • These dynamics significantly exceed the complexity found in simpler selection models.

Conclusions:

  • Multilocus dynamics under cyclically moving stabilizing selection offer a robust mechanism for complex evolutionary trajectories.
  • This provides a potential novel evolutionary mechanism for sustained increases in genetic diversity over extended periods.