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The robustness of cyclic dominance under random fluctuations
Christoph K Schmitt1, Christian Guill, Barbara Drossel
1Institut für Festkörperphysik, TU Darmstadt, Hochschulstrasse 6, 64289 Darmstadt, Germany. christophschmitt@fkp.tu-darmstadt.de
Journal of Theoretical Biology
|June 9, 2012
Summary
Cyclic dominance in sockeye salmon populations is robust. Even with significant random environmental noise, the three-species model demonstrates stable population dynamics and predictable 4-year cycles.
Area of Science:
- Ecology
- Population Dynamics
- Mathematical Biology
Background:
- Fraser River sockeye salmon exhibit cyclic dominance, a pattern previously modeled by a three-species interaction.
- Real-world salmon populations face environmental fluctuations (noise) impacting survival and growth.
Purpose of the Study:
- To assess the robustness of a three-species cyclic dominance model for sockeye salmon under various types of random noise.
- To quantify the model's stability against perturbations affecting population size, oscillation frequency, and inter-population synchronization.
Main Methods:
- Simulated random perturbations (noise) on a deterministic three-species population model.
- Analyzed variations in population size, frequency of phase shifts in the 4-year cycle, and synchronization between populations.
- Evaluated model response to strong, one-time perturbations.
Main Results:
- The three-species model maintains cyclic dominance patterns even when subjected to significant random noise.
- Population dynamics remained stable, with predictable 4-year oscillations largely preserved.
- Inter-population synchronization and response to perturbations showed resilience.
Conclusions:
- The three-species model accurately captures the stability of cyclic dominance in sockeye salmon populations.
- Cyclic dominance is a robust phenomenon, resilient to environmental stochasticity.
- The model provides a reliable framework for understanding sockeye salmon population dynamics.
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