Limiting similarity of competitive species and demographic stochasticity

Physical Review. E
Xiu-Deng ZhengYi Tao

Abstract

The limiting similarity of competitive species and its relationship with the competitive exclusion principle is still one of the most important concepts in ecology. In the 1970s, May [R. M. May, Stability and Complexity in Model Ecosystems (Princeton University, Princeton, NJ, 1973)] developed a concise theoretical framework to investigate the limiting similarity of competitive species. His theoretical results show that no limiting similarity threshold of competitive species can be identified in the deterministic model system whereby species more similar than this threshold never coexist. Theoretically, for competitive species coexisting in an unvarying environment, deterministic interspecific interactions and demographic stochasticity can be considered two sides of a coin. To investigate how the "tension" between these two forces affects the coexistence of competing species, a simple two-species competitive system based only on May's model system is transformed into an equivalent replicator equation. The effect of demographic stochasticity on the system stability is measured by the expected drift of the Lyapunov function. Our main results show that the limiting similarity of competitive species should not be considered to be a...Continue Reading

References

Dec 1, 1975·Theoretical Population Biology·P Abrams
May 1, 1972·Proceedings of the National Academy of Sciences of the United States of America·R M May, R H MacArthur
Sep 29, 2001·Science·G Bell
Jul 28, 2006·Ecology·Stephen P Hubbell
Mar 21, 2008·Physical Review Letters·Jens Christian Claussen, Arne Traulsen
Sep 25, 2008·The American Naturalist·P Chesson, N Huntly

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Citations

Jan 20, 2018·Physical Review. E·Xiu-Deng ZhengYi Tao

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