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Following the Dynamics of Structural Variants in Experimentally Evolved Populations
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Robust ecological pattern formation induced by demographic noise.

Thomas Butler1, Nigel Goldenfeld

  • 1Department of Physics and Institute for Genomic Biology, University of Illinois at Urbana-Champaign, 1110 West Green Street, Urbana, Illinois 61801, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|November 13, 2009
PubMed
Summary
This summary is machine-generated.

Demographic noise drives spatial patterns and oscillations in plankton-herbivore models. This noise expands pattern formation beyond mean-field predictions, explaining large-scale ecological patterns.

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Area of Science:

  • Ecology
  • Mathematical Biology
  • Population Dynamics

Background:

  • The Levin-Segel model describes predator-prey dynamics, specifically plankton-herbivore interactions.
  • Mean-field theory predicts Turing instability, suggesting pattern formation under certain conditions.
  • Traditional models often neglect the impact of random demographic fluctuations.

Purpose of the Study:

  • To investigate the role of demographic noise in pattern formation within the Levin-Segel model.
  • To determine if demographic noise can induce persistent spatial patterns and temporal oscillations.
  • To differentiate noise-induced patterns from mean-field patterns in ecological systems.

Main Methods:

  • Simulations of the Levin-Segel predator-prey model incorporating demographic noise.
  • Analysis of parameter space to identify conditions favoring pattern formation.
  • Calculation of power spectra to characterize noise-driven patterns and compare them to mean-field predictions.

Main Results:

  • Demographic noise significantly expands the parameter space for pattern formation.
  • Persistent spatial patterns and temporal oscillations are induced by demographic noise.
  • Noise-driven patterns exhibit characteristic 'fat tails' in their power spectra, distinct from mean-field results.

Conclusions:

  • Demographic noise is a crucial factor in generating large-scale ecological patterns.
  • The findings challenge traditional nonstochastic approaches to understanding population dynamics.
  • The presence of 'fat tails' in power spectra can serve as an indicator of noise-driven ecological patterns.