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Intermittency and transient chaos from simple frequency-dependent selection

S Gavrilets1, A Hastings

  • 1Division of Environmental Studies, University of California, Davis 95616, USA.

Proceedings. Biological Sciences
|August 22, 1995
PubMed
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Frequency-dependent selection drives evolutionary dynamics in many traits. A new model reveals complex behaviors like chaos and intermittency, explaining erratic gene frequency changes.

Area of Science:

  • Evolutionary biology
  • Population genetics
  • Theoretical ecology

Background:

  • Frequency-dependent selection influences diverse evolutionary processes, including mating preferences and predator-prey interactions.
  • Previous theoretical work suggests frequency-dependent selection maintains genetic variability in populations.

Purpose of the Study:

  • To analyze a simple deterministic model of frequency-dependent selection.
  • To explore the complex dynamic behaviors exhibited by this model.

Main Methods:

  • Analysis of a deterministic model for frequency-dependent selection.
  • Examination of model behavior across a broad range of parameter values.

Main Results:

  • The model demonstrates complex dynamics, including cycles and chaos.

Related Experiment Videos

  • Transient chaos and intermittency, characterized by shifts between deterministic and chaotic behavior, were observed for specific parameters.

    • Conclusions:

    • Complex dynamics, including chaos and intermittency, are possible under frequency-dependent selection.
    • These dynamics offer an explanation for previously unexplained erratic gene frequency fluctuations in populations.