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Eco-evolutionary dynamics in finite network-structured populations with migration.

Karan Pattni1, Wajid Ali1, Mark Broom2

  • 1Department of Mathematical Sciences, University of Liverpool, United Kingdom.

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Network structure impacts population evolution. Dynamic population size and migration, influenced by competition tolerance, affect mutant success across complete, cycle, and star networks.

Keywords:
Eco-evolutionary dynamicsEvolutionFixation probabilityNetworks

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Area of Science:

  • Evolutionary Biology
  • Ecology
  • Network Theory

Background:

  • Traditional models assume fixed population size and distribution.
  • Eco-evolutionary dynamics require modeling changes in population size and distribution.
  • Individual responses to competition, like migration based on tolerance, are crucial.

Purpose of the Study:

  • To investigate how network structure influences population evolution.
  • To model eco-evolutionary dynamics with changing population size and distribution.
  • To analyze mutant success in different network structures considering migration and competition.

Main Methods:

  • Explicitly modeling population distribution per site.
  • Considering birth, death, and migration as separate processes.
  • Analyzing mutant success in the rare mutation limit for complete, cycle, and star networks.

Main Results:

  • Network structure significantly impacts mutant appearance distribution.
  • Complete and cycle networks show similar mutant success at low and high migration rates.
  • High migration rates in star networks are detrimental to mutant success due to central site crowding.

Conclusions:

  • Population distribution dynamics are key to understanding mutant success.
  • Network topology and migration rates interact to determine evolutionary outcomes.
  • Individual-level traits like competition tolerance shape population-level dynamics and evolution.