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Monitoring Spatial Segregation in Surface Colonizing Microbial Populations
07:40

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Published on: October 29, 2016

Spatial invasion of cooperation.

Philipp Langer1, Martin A Nowak, Christoph Hauert

  • 1Program for Evolutionary Dynamics, Department of Organismic and Evolutionary Biology, Harvard University, One Brattle Square, Cambridge, MA 02138, USA. phil@philan.info

Journal of Theoretical Biology
|December 11, 2007
PubMed
Summary

Cooperators can invade and expand in populations of defectors by forming spatial clusters. The arrangement of these clusters reveals details about the underlying evolutionary interactions.

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Area of Science:

  • Evolutionary biology
  • Game theory
  • Mathematical modeling

Background:

  • Cooperation presents an evolutionary puzzle under Darwinian selection, as cooperators incur costs for others' benefits.
  • Non-cooperation (defection) is typically favored without specific evolutionary mechanisms.
  • Structured populations, where individuals interact locally, offer a potential solution for maintaining cooperation.

Purpose of the Study:

  • To analyze the invasion and expansion dynamics of cooperators within a population of defectors.
  • To investigate how spatial structure influences the evolution of cooperation.
  • To quantitatively assess the spatial arrangement of cooperators during invasion.

Main Methods:

  • Utilized evolutionary game theory, specifically the prisoner's dilemma model.
  • Simulated the invasion and expansion of cooperators in a structured population.
  • Analyzed the two-stage expansion process: local equilibrium establishment and uniform spatial expansion.

Main Results:

  • Cooperator invasion, if successful, proceeds in two distinct stages: rapid local equilibrium and slower uniform expansion.
  • Spatial patterns of cooperators vary with conditions: a single large cluster in hospitable environments, and isolated clusters in hostile ones.
  • Macroscopic properties and spatial patterns provide insights into microscopic interaction characteristics.

Conclusions:

  • Spatial structuring is crucial for the evolution and maintenance of cooperation.
  • The spatial arrangement of cooperators is a key indicator of the evolutionary dynamics and environmental conditions.
  • This study offers a quantitative framework for understanding cooperation in structured populations.