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Labyrinthine clustering in a spatial rock-paper-scissors ecosystem

Jeppe Juul, Kim Sneppen, and Joachim Mathiesen

  • Niels Bohr Institute, University of Copenhagen, Blegdamsvej 17, DK-2100 Copenhagen, Denmark

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Phys. Rev. E 87, 042702 – Published 8 April, 2013

DOI: https://doi.org/10.1103/PhysRevE.87.042702

Abstract

The spatial rock-paper-scissors ecosystem, where three species interact cyclically, is a model example of how spatial structure can maintain biodiversity. We here consider such a system for a broad range of interaction rates. When one species grows very slowly, this species and its prey dominate the system by self-organizing into a labyrinthine configuration in which the third species propagates. The cluster size distributions of the two dominating species have heavy tails and the configuration is stabilized through a complex spatial feedback loop. We introduce a statistical measure that quantifies the amount of clustering in the spatial system by comparison with its mean-field approximation. Hereby, we are able to quantitatively explain how the labyrinthine configuration slows down the dynamics and stabilizes the system.

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Outline

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Phys. Rev. E 87, 042702– Published 8 April, 2013
  • Received 27 September 2012

©2013 American Physical Society

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