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Nonequilibrium dynamics in lattice ecosystems: Chaotic stability and dissipative structures.
Ricard V. Sole1, Jordi Bascompte, Joaquim Valls
1Complex Systems Research Group, Departament de Fisica i Enginyeria Nuclear, Universitat Politecnica de Catalunya, Pau Gargallo 5, 08028 Barcelona, SpainComplex Systems Research Group, Departament d'Ecologia, Universitat de Barcelona, Diagonal 645, 08028 Barcelona, SpainComplex Systems Research Group, Departament de Fisica i Enginyeria Nuclear, Universitat Politecnica de Catalunya, Pau Gargallo 5, 08028 Barcelona, Spain.
Chaos (Woodbury, N.Y.)
|July 1, 1992
Summary
This study introduces a coupled map lattice (CML) model for ecosystem dynamics, revealing how chaotic interactions can lead to complex structures in competing species and ecological networks.
Area of Science:
- Ecology
- Complex Systems
- Theoretical Biology
Background:
- Coupled map lattices (CML) offer a framework for studying spatiotemporal dynamics.
- Ecological models often simplify complex interactions between species.
- Understanding the stability and structure of ecological networks is crucial.
Purpose of the Study:
- To present a generalized coupled map lattice (CML) model for ecosystem dynamics.
- To investigate the spatiotemporal behavior of prey-predator, host-parasitoid, and competing species models.
- To analyze the stability and structural properties of ecological networks.
Main Methods:
- Development of a generalized coupled map lattice (CML) model.
- Simulation of prey-predator, host-parasitoid, and two-species competition models.
- Application of the May-Wigner criterion for network stability analysis.
Main Results:
- The CML model successfully simulates various ecological interactions.
- Phase separation and Turing-like structures are observed in competing species models, even under chaotic conditions.
- Analysis of ecological networks reveals regularities in stable configurations.
Conclusions:
- The generalized CML model provides a versatile tool for exploring complex ecological dynamics.
- Chaotic dynamics can contribute to emergent spatial structures in ecosystems.
- The study offers insights into the stability and organization of ecological networks.