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Evolutionary branching and long-term coexistence of cycling predators: critical function analysis
Stefan A H Geritz1, Eva Kisdi, Ping Yan
1Department of Mathematics and Statistics, University of Helsinki, FIN-00014, Finland.
Theoretical Population Biology
|May 1, 2007
Summary
Predators with different functional responses can coexist. This study explores evolutionary stability and branching, finding coexistence is possible under specific trade-off conditions between handling time and offspring production.
Area of Science:
- Ecology
- Evolutionary Biology
- Theoretical Ecology
Background:
- Two predators can coexist on a single prey species if the ecological dynamics are not at equilibrium.
- Predator coexistence is often limited by evolutionary constraints and trade-offs.
Purpose of the Study:
- To determine the conditions for evolutionarily stable coexistence of two predators with different functional responses.
- To investigate if predator populations can evolve from a single ancestor through evolutionary branching.
Main Methods:
- Modeling predator-prey interactions with Holling type II functional responses.
- Analyzing evolutionary stability using a novel method for arbitrary trade-off functions between handling time and offspring production.
Main Results:
- Evolutionary branching of predator handling times is possible but not highly probable, depending on the trade-off function.
- Evolutionarily stable coexistence is achievable under broader conditions than previously suggested.
- Specific trade-off shapes, featuring concave and convex segments, facilitate stable coexistence.
Conclusions:
- Predator coexistence and evolutionary branching are influenced by the specific trade-offs between foraging efficiency and reproduction.
- The study expands the understanding of evolutionary stable strategies in predator-prey systems.
- Ecological non-equilibrium dynamics can support diverse predator communities through evolutionary processes.
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