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Necessary and sufficient conditions for evolutionary suicide.

M Gyllenberg1, K Parvinen

  • 1Department of Mathematics, FIN-20014, University of Turku, Finland.

Bulletin of Mathematical Biology
|September 22, 2001
PubMed
Summary

Evolutionary suicide, where populations adapt to extinction, can occur in simple, unstructured models. New conditions reveal that this process is possible even without complex population structures.

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Area of Science:

  • Evolutionary Biology
  • Mathematical Biology
  • Ecology

Background:

  • Evolutionary suicide describes populations adapting to their own extinction.
  • Previous research identified discontinuous transitions to extinction as necessary for suicide.
  • Such phenomena were primarily observed in structured metapopulation models.

Purpose of the Study:

  • To define the necessary and sufficient conditions for evolutionary suicide.
  • To investigate the occurrence of evolutionary suicide in unstructured population models.
  • To determine if structured models always permit evolutionary suicide.

Main Methods:

  • Analysis of bifurcation points in population dynamics models.
  • Comparison of evolutionary suicide in structured versus unstructured population models.
  • Examination of age-structured models (Gurtin-MacCamy type) for suicide conditions.

Main Results:

  • Identified necessary and sufficient conditions for evolutionary suicide related to bifurcation points.
  • Demonstrated that evolutionary suicide can occur in unstructured population models.
  • Proved that evolutionary suicide is not possible in Gurtin-MacCamy age-structured models.
  • Highlighted the importance of mutant fitness depending on both environmental variables and resident strategy.

Conclusions:

  • Evolutionary suicide is not limited to structured populations and can occur in simpler models.
  • The presence of population structure does not guarantee the possibility of evolutionary suicide.
  • Specific model structures, like Gurtin-MacCamy age-structured models, preclude evolutionary suicide.

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