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PLoS Computational Biology Issue Image | Vol. 21(5) June 2025

Computational complexity in a random ecosystem

Ecosystems consist of diverse mixtures of cooperating and competing species, which cause these systems to take a long time to reach stable equilibrium states. Here, we borrow tools from computational complexity theory to frame complex ecosystems as optimization problems, and we derive scaling laws for the time that it takes ecosystems to equilibrate. This image shows transient chaos in a model ecosystem, in which the equilibration time strongly varies as the initial species densities change. Gilpin et al. 2025

Image Credit: William Gilpin

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Computational complexity in a random ecosystem

Ecosystems consist of diverse mixtures of cooperating and competing species, which cause these systems to take a long time to reach stable equilibrium states. Here, we borrow tools from computational complexity theory to frame complex ecosystems as optimization problems, and we derive scaling laws for the time that it takes ecosystems to equilibrate. This image shows transient chaos in a model ecosystem, in which the equilibration time strongly varies as the initial species densities change. Gilpin et al. 2025

Image Credit: William Gilpin

https://doi.org/10.1371/image.pcbi.v21.i05.g001