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Following the Dynamics of Structural Variants in Experimentally Evolved Populations
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Diversity in evolutionary dynamics.

Yuval Rabani1, Leonard J Schulman2, Alistair Sinclair3

  • 1School of Computer Science and Engineering, The Hebrew University of Jerusalem, Jerusalem, Israel.

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Summary
This summary is machine-generated.

Sexual reproduction does not always maintain genetic diversity in competing species, contrary to previous findings. However, extended periods of high diversity are still a recurrent event in non-degenerate systems.

Keywords:
dynamical systemsgame theorygenetic diversitymathematical models of evolutionreplicator dynamicsweak selection

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Area of Science:

  • Evolutionary Biology
  • Population Genetics
  • Game Theory

Background:

  • Natural selection impacts competing haploid species with time-varying fitness.
  • Fitness variation arises intrinsically from inter-species interactions, not external factors.
  • Previous models with two phenotypes per species showed diversity is always maintained.

Purpose of the Study:

  • Investigate if sexual reproduction guarantees continuous genetic diversity maintenance.
  • Examine scenarios with more than two phenotypes per species.
  • Determine the conditions under which diversity is maintained.

Main Methods:

  • Mathematical modeling of competing haploid species dynamics.
  • Analysis of a counterexample with three phenotypes per species.
  • Examination of non-degenerate systems without strict pure Nash equilibria.

Main Results:

  • Sexual reproduction does not guarantee perpetual genetic diversity.
  • A counterexample demonstrates diversity can approach zero.
  • Diversity is maintained in an 'infinitely often' sense for non-degenerate systems.

Conclusions:

  • The assumption that sexual reproduction ensures constant diversity is refuted.
  • Extended periods of high genetic diversity are recurrent, not constant.
  • Inter-species competition dynamics play a crucial role in maintaining diversity.