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Fixation probabilities in network structured meta-populations.

Sedigheh Yagoobi1, Arne Traulsen2

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Population structure impacts evolutionary dynamics. This study models sub-populations and migration, finding that unequal patch sizes in meta-populations can suppress selection, unlike individual networks.

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Area of Science:

  • Evolutionary ecology
  • Population genetics
  • Evolutionary graph theory

Background:

  • Population structure significantly influences evolutionary dynamics.
  • Evolutionary graph theory models individuals on networks to study these dynamics.
  • Meta-population models offer an alternative approach to network structures.

Purpose of the Study:

  • To investigate how complex meta-population structures and migration rates affect fixation probability.
  • To compare fixation probabilities in structured meta-populations versus networks of individuals.
  • To identify deviations from known results when patch sizes are unequal.

Main Methods:

  • Modeling a network of sub-populations with migration probabilities.
  • Analyzing the impact of meta-population structure and migration on fixation probability.
  • Comparing results to established findings for networks of individuals.

Main Results:

  • Many known results for individual networks extend to meta-populations, especially with regular structures or low migration.
  • Significant deviations arise when sub-population (patch) sizes differ.
  • Unequal patch sizes in a two-patch system suppress selection at low migration rates.

Conclusions:

  • Meta-population structure and migration rates are critical factors in evolutionary dynamics.
  • Deviations in fixation probability occur in meta-populations with heterogeneous patch sizes.
  • Understanding these differences is crucial for accurate evolutionary predictions in structured populations.