Labyrinthine clustering in a spatial rock-paper-scissors ecosystem

Jeppe Søgaard Juul; Kim Sneppen; Joachim Mathiesen

doi:10.1103/physreve.87.042702

Labyrinthine clustering in a spatial rock-paper-scissors ecosystem

Jeppe Søgaard Juul, Kim Sneppen, Joachim Mathiesen

Biokompleksitet

26 Citationer (Scopus)

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.

Originalsprog	Engelsk
Tidsskrift	Physical Review E. Statistical, Nonlinear, and Soft Matter Physics
Vol/bind	87
Udgave nummer	4
Sider (fra-til)	042702
Antal sider	4
ISSN	1539-3755
DOI	https://doi.org/10.1103/physreve.87.042702
Status	Udgivet - 8 apr. 2013

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10.1103/physreve.87.042702

http://link.aps.org/doi/10.1103/PhysRevE.87.042702

Citationsformater

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Labyrinthine clustering in a spatial rock-paper-scissors ecosystem

Abstract

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