Nonequilibrium dynamics in lattice ecosystems: Chaotic stability and dissipative structures

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Abstract
A generalized coupled map lattice (CML) model of ecosystemdynamics is presented. We consider the spatiotemporal behavior of a prey–predator map, a model of host–parasitoid interactions, and two‐species competition. The latter model can show phase separation of domains (Turing‐like structures) even when chaos is present. We also use this CML model to explore the time evolution and structural properties of ecological networks built with a set of N competing species. The May–Wigner criterion is applied as a measure of stability, and some regularities in the stable networks observed are discussed.