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Cited by 36Mathematical and Theoretical Epidemiology and Ecology ModelsEcosystem dynamics and resilienceEcology and Vegetation Dynamics Studies

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

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Szilágyi, András, Meszéna, Géza·2010·Journal of Theoretical Biology
DOI 10.1016/j.jtbi.2010.09.020
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Abstract

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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  • Periodic or chaotic variation of densities in time generated by the dynamics itself can help maintain diversity, with fluctuations acting as regulating factors.

    “Periodic or chaotic variation of densities in time generated by the dynamics itself (intrinsic fluctuations) can help to maintain diversity, the fluctuations themselves acting as regulating factors, see e.g., [18,19,20].”

    From Ecology and Evolution in the RNA World Dynamics and Stability of Prebiotic Replicator Systems (2017) · cites this paper as [20]

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Research works printed but not linked: 40

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Metadata

Authors
Szilágyi, A., & Meszéna, G.
Affiliations
Eötvös Loránd University (HU)
Corresponding author
Szilágyi, András
ORCID
Venue
Journal of Theoretical Biology
Publisher
Elsevier BV
Published
2010-12
Volume
267
Issue
4
Pages
502-512
ISSN
0022-5193 (ISSN-L)
DOI
10.1016/j.jtbi.2010.09.020
OpenAlex
W2073433850
Cited by
36
References
0
Citations by year
2025: 1 · 2023: 1 · 2022: 2 · 2021: 1 · 2020: 1 · 2018: 1 · 2017: 1 · 2016: 19 · 2014: 3 · 2013: 3 · 2012: 1
FWCI
1.91
Type
journal article
Language
en
Open access
Licence
Locations
  • Journal of Theoretical Biology (publishedVersion)
  • PubMed (publishedVersion)
  • HAL (submittedVersion, other-oa)
  • Trinity's Access to Research Output (TARA) (Trinity College Dublin) (submittedVersion)
Topics
  • Physical Sciences › Mathematics › Applied Mathematics › Mathematical and Theoretical Epidemiology and Ecology Models
  • Physical Sciences › Environmental Science › Global and Planetary Change › Ecosystem dynamics and resilience
  • Physical Sciences › Environmental Science › Nature and Landscape Conservation › Ecology and Vegetation Dynamics Studies
Keywords
white noise, extinction threshold, niche segregation, framework theory, population dynamics
MeSH terms
Animals, Competitive Behavior, Computer Simulation, Environment, Models, Biological, Population Dynamics, Species Specificity, Time Factors, Nonlinear Dynamics

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