Unlimited niche packing in a Lotka-Volterra competition game

Theoretical Population Biology
Ross CressmanThomas L Vincent

Abstract

A central question in the study of ecology and evolution is: "Why are there so many species?" It has been shown that certain forms of the Lotka-Volterra (L-V) competition equations lead to an unlimited number of species. Furthermore, these authors note how any change in the nature of competition (the competition kernel) leads to a finite or small number of coexisting species. Here we build upon these works by further investigating the L-V model of unlimited niche packing as a reference model and evolutionary game for understanding the environmental factors restricting biodiversity. We also examine the combined eco-evolutionary dynamics leading up to the species diversity and traits of the ESS community in both unlimited and finite niche-packing versions of the model. As an L-V game with symmetric competition, we let the strategies of individuals determine the strength of the competitive interaction (like competes most with like) and also the carrying capacity of the population. We use a mixture of analytic proofs (for one and two species systems) and numerical simulations. For the model of unlimited niche packing, we show that a finite number of species will evolve to specific convergent stable minima of the adaptive landscape ...Continue Reading

References

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Citations

Apr 13, 2018·Proceedings of the National Academy of Sciences of the United States of America·Mark R ChristieMichael S Blouin
Sep 1, 2018·Working with Older People : Community Care Policy and Practice·Stefanie BucknerLouise Lafortune

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