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Area of Science:

  • Evolutionary biology
  • Mathematical modeling
  • Game theory

Background:

  • Replicator dynamics model evolutionary processes.
  • Time-periodic environments pose unique selection pressures.
  • Understanding adaptation in fluctuating environments is crucial.

Purpose of the Study:

  • To model selection in time-periodic environments using replicator dynamics.
  • To investigate the reduction of two-player dynamics to multiplayer dynamics.
  • To analyze the emergence of stable polymorphism and its effect on population fitness.

Main Methods:

  • Utilized two-player replicator dynamics for modeling.
  • Reduced the model to multiplayer replicator dynamics for fast environmental changes.
  • Analyzed time-averaged payoffs and adaptation terms.

Main Results:

  • Fast environmental changes simplify selection to multiplayer dynamics.
  • Three- and four-player terms emerge from environmental adaptation.
  • These multiplayer terms can lead to stable polymorphism.

Conclusions:

  • Multilayer dynamics can arise from adaptation in fluctuating environments.
  • Stable polymorphism can be established through these dynamics.
  • Polymorphism establishment in genetic selection may coincide with decreased mean population fitness.