Competitive exclusion and limiting similarity: A unified theory

Meszéna, Géza; Gyllenberg, Mats; Pásztor, Líz; Metz, J.A.J.

doi:10.1016/j.tpb.2005.07.001

Cited by 220 publications

(279 citation statements)

References 89 publications

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“…Strength of competition and niche have become terms of unclear meaning, terms to be defined separately in every specific situation. The goal of Meszéna et al (2006) was to reestablish the intuitive as well as the mathematical clarity of coexistence theory in a general, model-independent way. Competition coefficients were defined differentially; therefore they became independent of the assumption of linearity in the Lotka-Volterra model.…”

Section: Discussionmentioning

confidence: 99%

“…Based on the analytic results above, in this section we reinvestigate the model in the context of the theory of limiting similarity by Meszéna et al (2006). First we briefly reiterate how it works in a constant environment; then we consider the current model.…”

Section: Niche Segregation and Robustness Of Coexistencementioning

confidence: 99%

“…Here we summarize the theory of limiting similarity by Meszéna et al (2006). It is a model-independent implementation of the proposal by Abrams (1983) that limits to similarity must be considered in conjunction with the relative competitiveness of the coexisting species; see also Chesson (2000b) in the same vein.…”

Section: Reference Theory: Constant Environmentmentioning

confidence: 99%

“…Krebs (2001), p. 288 andMeszéna et al (2006), we will refer to these variables as regulating factors/variables. Following the lead of May (1973), Vandermeer (1975) and Abrams (1983), Meszéna et al (2006) proved in a model-independent way that increasing similarity between the populations makes their coexistence less likely, i.e. more sensitive to the perturbation of external parameters.…”

Section: Introductionmentioning

confidence: 99%

“…The principal goal of the present paper is to study the relation between the theory of fluctuation-mediated coexistence and the classical notion of niche, as formulated by Meszéna et al (2006). While we aim for the general picture, here we use the simplest model that we could conceive to demonstrate the principal connection between equilibrium and nonequilibrium ecology (see Parvinen and Meszéna 2009 for a more realistic model of disturbance-generated coexistence in the same vein).…”

Section: Introductionmentioning

confidence: 99%

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Coexistence in a fluctuating environment by the effect of relative nonlinearity: A minimal model

Szilágyi

Meszéna

2010

Journal of Theoretical Biology

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The minimal model of the "relative nonlinearity" type fluctuation-maintained coexistence is investigated. The competing populations are affected by an environmental white noise. With quadratic density dependence, the long-term growth rates of the populations are determined by the average and the variance of the (fluctuating) total density. At most two species can coexist on these two "regulating" variables; competitive exclusion would ensue in a constant environment. A numerical study of the expected time until extinction of any of the two species reveals that the criterion of mutual invasibility predicts the parameter-range of long-term coexistence correctly in the limit of zero extinction threshold. However, any extinction threshold consistent with a realistic population size will allow only short-term coexistence. Therefore, our simulations question the biological relevance of mutual invasibility, as a sufficient condition of coexistence, for large density fluctuations. We calculate the average and the variance of the fluctuating density of the coexisting populations analytically via the moment-closure approximation; the results are reasonably close to the simulated behavior. Based on this treatment, robustness of coexistence is studied in the limit of infinite population size. We interpret the results of this analysis in the context of necessity of niche segregation with respect to the regulating variables using a framework theory published earlier.

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Section: Discussionmentioning

confidence: 99%

Section: Niche Segregation and Robustness Of Coexistencementioning

confidence: 99%

Section: Reference Theory: Constant Environmentmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Coexistence in a fluctuating environment by the effect of relative nonlinearity: A minimal model

Szilágyi

Meszéna

2010

Journal of Theoretical Biology

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Food Webs and Biodiversity

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Speciation and the neutral theory of biodiversity

Kopp

2010

BioEssays

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The neutral theory of biodiversity purports that patterns in the distribution and abundance of species do not depend on adaptive differences between species (i.e. niche differentiation) but solely on random fluctuations in population size ("ecological drift"), along with dispersal and speciation. In this framework, the ultimate driver of biodiversity is speciation. However, the original neutral theory made strongly simplifying assumptions about the mechanisms of speciation, which has led to some clearly unrealistic predictions. In response, several recent studies have combined neutral community models with more elaborate speciation models. These efforts have alleviated some of the problems of the earlier approaches, while confirming the general ability of neutral theory to predict empirical patterns of biodiversity. However, the models also show that the mode of speciation can have a strong impact on relative species abundances. Future work should compare these results to diversity patterns arising from non-neutral modes of speciation, such as adaptive radiations.

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Competitive exclusion and limiting similarity: A unified theory

Cited by 220 publications

References 89 publications

Coexistence in a fluctuating environment by the effect of relative nonlinearity: A minimal model

Coexistence in a fluctuating environment by the effect of relative nonlinearity: A minimal model

Bibliography

Speciation and the neutral theory of biodiversity

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