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Daily Transfers, Archiving Populations, and Measuring Fitness in the Long-Term Evolution Experiment with Escherichia coli
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Evolution of cooperation by phenotypic similarity.

Tibor Antal1, Hisashi Ohtsuki, John Wakeley

  • 1Program for Evolutionary Dynamics and Department of Mathematics, Harvard University, Cambridge, MA 02138, USA.

Proceedings of the National Academy of Sciences of the United States of America
|May 7, 2009
PubMed
Summary

Cooperation evolves when individuals interact with similar others. High mutation rates in traits and low mutation rates in strategies favor cooperation, with a critical benefit-to-cost ratio of approximately 2.15 in one-dimensional phenotype spaces.

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Area of Science:

  • Theoretical Biology
  • Evolutionary Game Theory
  • Population Genetics

Background:

  • The evolution of cooperation among selfish individuals is a central problem in evolutionary biology.
  • Previous models often assume random interactions or limited information about potential interactants.
  • This study introduces a model where individuals possess visible phenotypic properties influencing interactions.

Purpose of the Study:

  • To investigate the conditions under which cooperation evolves in a population with phenotype-dependent strategies.
  • To determine the impact of phenotypic and strategy mutation rates on the prevalence of cooperation.
  • To derive precise conditions for natural selection to favor cooperators over defectors.

Main Methods:

  • Development of a mathematical model incorporating phenotypic properties, strategy-dependent interactions, and mutation.
  • Integration of concepts from coalescence theory and evolutionary game dynamics.
  • Analysis of a one-dimensional phenotype space for large populations and consideration of high-dimensional spaces.

Main Results:

  • Cooperation is favored when cooperators interact preferentially with similar individuals.
  • Natural selection promotes cooperation when the phenotypic mutation rate is high and the strategy mutation rate is low.
  • The critical benefit-to-cost ratio for cooperation in a one-dimensional phenotype space is 1 + 2/√3 (approximately 2.15).

Conclusions:

  • Phenotypic variation and mutation dynamics are crucial for the evolution of cooperation.
  • The model provides a precise condition for the emergence of cooperation based on interaction structure and mutation rates.
  • The findings offer insights into the evolutionary stability of cooperative behaviors in structured populations.