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Understanding patterns and processes in models of trophic cascades.

Michael R Heath1, Douglas C Speirs, John H Steele

  • 1Department of Mathematics and Statistics, University of Strathclyde, Livingstone Tower, Glasgow, G1 1XP, UK.

Ecology Letters
|October 30, 2013
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Summary

Density dependence in consumer uptake or mortality is crucial for realistic trophic cascades in food webs. This applies to both top-down and bottom-up cascades, impacting ecosystem dynamics and management strategies.

Keywords:
Bottom-updensity dependencefood chainfood webharvestingmodelpredator-preysimulationtop-down

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Area of Science:

  • Ecology
  • Ecosystem Dynamics
  • Food Web Theory

Background:

  • Global changes in nutrient enrichment and apex predator declines are altering ecosystems.
  • Trophic cascades significantly impact food webs, with varying strengths across ecosystems.
  • Existing food chain models do not fully explain the variability in cascade strength.

Purpose of the Study:

  • To investigate the necessary conditions for generating realistic trophic cascades in food web models.
  • To determine the role of model formulation, specifically density dependence, in reproducing observed cascade effects.
  • To test the applicability of findings from simple food chains to more complex marine food web models.

Main Methods:

  • Development and analysis of simple food chain models incorporating density-dependent regulation.
  • Mathematical modeling of consumer uptake and mortality rates.
  • Application of conclusions to a complex marine food web model with varying nutrient inputs and harvesting rates.

Main Results:

  • Inclusion of density-dependent regulation is essential for realistic top-down cascades.
  • Realistic bottom-up cascades require density dependence, particularly mortality regulation (e.g., disease, intraguild predation).
  • These findings hold true for both simple food chains and complex marine food web models.

Conclusions:

  • Density dependence is a key factor in the strength and realism of trophic cascades.
  • Model formulation significantly influences the accurate representation of ecosystem dynamics.
  • Understanding these mechanisms is vital for predicting and managing ecosystem responses to environmental change.