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Related Experiment Videos

Metapopulation dynamics with quasi-local competition.

Michael Doebeli1, Timothy Killingback

  • 1Department of Mathematics, University of British Columbia, British Columbia, Vancouver, Canada. doebeli@zoology.ubc.ca

Theoretical Population Biology
|November 25, 2003
PubMed
Summary

New metapopulation models incorporating quasi-local competition reveal that spatial structure can generate complex population dynamics. This leads to non-uniform spatial patterns and persistent fluctuations, even from stable local dynamics.

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Area of Science:

  • Ecological modeling
  • Metapopulation dynamics
  • Spatial ecology

Background:

  • Traditional stepping-stone models analyze metapopulation dynamics using isolated patches with dispersal.
  • These models often require non-equilibrium local dynamics to observe complex phenomena like persistent predator-prey interactions.
  • The scope of existing models is limited by the assumption of purely local population dependence.

Purpose of the Study:

  • To extend metapopulation models by incorporating quasi-local competition, where reproductive success depends on neighboring population densities.
  • To investigate how this new assumption alters metapopulation dynamics and emergent spatial patterns.
  • To explore the consequences for population fluctuations and model behavior under environmental noise.

Main Methods:

Related Experiment Videos

  • Development of an extended stepping-stone model incorporating quasi-local competition.
  • Analytical calculation of critical competition levels for stability transitions.
  • Analysis of metapopulation dynamics, including attractor coexistence and behavior under environmental noise.

Main Results:

  • Quasi-local competition destabilizes the spatially uniform equilibrium, even with stable isolated local dynamics.
  • Metapopulations transition to new, spatially non-uniform stable states with irregular abundance patterns.
  • A large number of coexisting attractors emerge, making the final state sensitive to initial conditions; environmental noise induces random walks across attractors, causing complex, red-shifted power-law fluctuations.

Conclusions:

  • Spatial structure significantly influences ecological processes, generating non-uniform spatial patterns.
  • Quasi-local competition provides a novel mechanism for complex temporal population fluctuations and persistence.
  • The extended model highlights the importance of inter-patch interactions beyond simple dispersal for metapopulation stability and dynamics.