Feasibility and coexistence of large ecological communities

Nature Communications
Jacopo GrilliAmos Maritan

Abstract

The role of species interactions in controlling the interplay between the stability of ecosystems and their biodiversity is still not well understood. The ability of ecological communities to recover after small perturbations of the species abundances (local asymptotic stability) has been well studied, whereas the likelihood of a community to persist when the conditions change (structural stability) has received much less attention. Our goal is to understand the effects of diversity, interaction strengths and ecological network structure on the volume of parameter space leading to feasible equilibria. We develop a geometrical framework to study the range of conditions necessary for feasible coexistence. We show that feasibility is determined by few quantities describing the interactions, yielding a nontrivial complexity-feasibility relationship. Analysing more than 100 empirical networks, we show that the range of coexistence conditions in mutualistic systems can be analytically predicted. Finally, we characterize the geometric shape of the feasibility domain, thereby identifying the direction of perturbations that are more likely to cause extinctions.

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Citations

Oct 3, 2019·Scientific Reports·Samuel M Fischer, Andreas Huth
Dec 6, 2019·Proceedings of the National Academy of Sciences of the United States of America·Virginia Domínguez-GarcíaSonia Kéfi
May 13, 2020·Journal of the Royal Society, Interface·Susanne PetterssonMartin Nilsson Jacobi
May 16, 2020·PLoS Computational Biology·Felix RoyGuy Bunin
Sep 1, 2020·PLoS Biology·Benno I SimmonsVasilis Dakos
Jul 16, 2017·Physical Review. E·Chengyi TuSamir Suweis
Dec 30, 2017·Ecology·Chuliang Song, Serguei Saavedra
Dec 13, 2017·Nature Communications·Yandong XiaoYang-Yu Liu
Jun 15, 2018·Proceedings. Biological Sciences·Chuliang Song, Serguei Saavedra
Jul 11, 2018·Nature Ecology & Evolution·Carlos A ServánStefano Allesina
Sep 28, 2017·Scientific Reports·Daniel M BusielloAmos Maritan
Sep 27, 2018·Physical Review. E·Theo GibbsStefano Allesina
Oct 25, 2017·Nature Ecology & Evolution·György BarabásStefano Allesina
Aug 1, 2018·Nature Communications·Stacey Butler, James P O'Dwyer
Nov 18, 2020·Journal of the Royal Society, Interface·Mohammad AlAdwani, Serguei Saavedra
Nov 28, 2020·Analytical and Bioanalytical Chemistry·Fangchen LiuMingming Wu
Nov 29, 2020·Nature Communications·Joseph W Baron, Tobias Galla

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