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Single-species models for many-species food webs
W W Murdoch1, B E Kendall, R M Nisbet
1Department of Ecology, Evolution and Marine Biology, University of California, Santa Barbara, California 93106, USA. murdoch@lifesci.ucsb.edu
Mathematical models often simplify species interactions. This study shows that generalist consumers in complex food webs can be accurately modeled as single-species populations, simplifying ecological dynamics.
Area of Science:
- Ecology
- Population Dynamics
- Mathematical Biology
Background:
- Most species exist in species-rich food webs, yet population dynamics models traditionally focus on one or two species.
- The relevance of simplified models to real-world, complex ecosystems remains a key question in ecological research.
Purpose of the Study:
- To investigate the validity of one-species population models for generalist consumers within multi-species food webs.
- To determine if simplified models can accurately represent the dynamics of generalist species in complex ecological communities.
Main Methods:
- Analyzing two-species consumer-resource models to identify conditions under which they simplify to one-species dynamics.
- Utilizing cyclic populations as a model system due to their clearer underlying mechanisms.
- Distinguishing between one-species cycles and consumer-resource cycles based on their distinct periods.
- Analyzing extensive time-series data from natural cyclic populations.
Main Results:
- Two-species population models simplify to one-species dynamics when the resource population's recruitment is independent of its abundance.
- One-species population cycles exhibit characteristic periods that differ from consumer-resource cycles.
- Empirical analysis of numerous natural cyclic populations revealed that generalist consumers predominantly display periods consistent with one-species dynamics.
Conclusions:
- Generalist consumers in species-rich food webs often exhibit population dynamics that can be effectively represented by one-species models.
- The observed dynamics suggest that simplified, one-species models are a valid and useful tool for understanding the population dynamics of generalist consumers in complex ecosystems.
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