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Related Experiment Video

Updated: May 11, 2026

The HoneyComb Paradigm for Research on Collective Human Behavior

The HoneyComb Paradigm for Research on Collective Human Behavior

Published on: January 19, 2019

Labyrinthine clustering in a spatial rock-paper-scissors ecosystem.

Jeppe Juul¹, Kim Sneppen, Joachim Mathiesen

¹Niels Bohr Institute, University of Copenhagen, Blegdamsvej 17, DK-2100 Copenhagen, Denmark.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|May 18, 2013

Summary

This summary is machine-generated.

Spatial rock-paper-scissors models show how structure maintains biodiversity. Slow-growing species and their prey form labyrinthine patterns, stabilizing the ecosystem through complex feedback loops.

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Area of Science:

Ecology
Theoretical Ecology
Biodiversity Studies

Background:

Spatial structure is crucial for maintaining biodiversity in ecological systems.
The rock-paper-scissors model is a classic cyclic predator-prey interaction.
Understanding spatial dynamics is key to ecological stability.

Purpose of the Study:

To investigate how spatial structure influences biodiversity in a rock-paper-scissors ecosystem across various interaction rates.
To analyze the self-organization and stabilization mechanisms in such systems.
To introduce a novel statistical measure for quantifying spatial clustering.

Main Methods:

Simulations of a spatial rock-paper-scissors model with a broad range of interaction rates.
Analysis of species' spatial configurations and cluster size distributions.
Development and application of a statistical measure comparing spatial clustering to mean-field approximations.

Main Results:

A slow-growing species and its prey can dominate by forming labyrinthine structures, with the third species propagating within.
Cluster size distributions of dominant species exhibit heavy tails.
A complex spatial feedback loop stabilizes the system, with labyrinthine configurations slowing dynamics.

Conclusions:

Spatial self-organization into labyrinthine patterns is a key mechanism for stabilizing cyclic predator-prey systems.
The introduced statistical measure effectively quantifies clustering and explains system stabilization.
This study provides quantitative insights into how spatial structure maintains biodiversity in ecological models.