Year: 2009
Type: article
Abstract: We demonstrate that demographic noise can induce persistent spatial pattern formation and temporal oscillations in the Levin-Segel predator-prey model for plankton-herbivore population dynamics. Although the model exhibits a Turing instability in mean-field theory, demographic noise greatly enlarges the region of parameter space where pattern formation occurs. To distinguish between patterns generated by fluctuations and those present at the mean-field level in real ecosystems, we calculate the power spectrum in the noise-driven case and predict the presence of fat tails not present in the mean-field case. These results may account for the prevalence of large-scale ecological patterns, beyond that expected from traditional nonstochastic approaches.
Source: Physical Review E
Authors: Thomas Butler, Nigel Goldenfeld
Language: English
Field: Medicine
Domain: Health Sciences
Open Access status: green
Funder: National Science Foundation
OpenAlex ID: W1985514554