2017
DOI: 10.1002/ecm.1263
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A structural approach for understanding multispecies coexistence

Abstract: Although observations of species-rich communities have long served as a primary motivation for research on the coexistence of competitors, the majority of our empirical

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Cited by 233 publications
(505 citation statements)
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References 49 publications
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“…This finding is important because many models of community dynamics assume that all interactions between species are purely competitive (e.g. Barabás, Michalska‐Smith, & Allesina, ; Saavedra et al., ). Indeed, no existing trait‐based models of species interactions yield facilitative interactions.…”
Section: Discussionmentioning
confidence: 96%
“…This finding is important because many models of community dynamics assume that all interactions between species are purely competitive (e.g. Barabás, Michalska‐Smith, & Allesina, ; Saavedra et al., ). Indeed, no existing trait‐based models of species interactions yield facilitative interactions.…”
Section: Discussionmentioning
confidence: 96%
“…“Modern coexistence theory” was developed by Peter Chesson and others and contains the key insight that species can coexist either by being similar in competitive ability (fitness) or by being different in their niches (Chesson, ). Coexistence theory typically assumes that competitive ability or fitness differences are hierarchical; however, they could also be intransitive and coexistence models can be developed in which species fitness differences are intransitive (Godoy et al., ; Matías, Godoy, Gómez‐Aparicio, & Pérez‐Ramos, ; see also Gallien et al., ; Levine et al., ; Saavedra et al., ).…”
Section: How Does Intransitive Competition Affect Coexistence?mentioning
confidence: 99%
“…Moreover, these constraints can help us to shift the focus from the structure of species interactions to the structure of the parameter space, which appears to be a necessary step towards a better understanding of species persistence ( Saavedra et al, 2017b ). Overall, we envi-sion that tools like the ones presented in this guideline can open a new and prosperous dialogue for a stronger synthesis of theoretical and empirical work on multi-trophic and changing communities.…”
Section: Discussionmentioning
confidence: 99%
“…This implies that, given an interaction matrix A , only certain combinations of species-specific intrinsic growth rates can generate feasible equilibria, i.e., for which we have −A −1 · r > 0 . Following this rationale, studies have been systematically investigating the feasibility of ecological communities by looking at the range of parameter values of r as a function of a given interaction matrix A ( Bastolla et al, 2009;Grilli et al, 2017;Logofet, 1993;Rohr et al, 2014;Saavedra et al, 2017b;Vandermeer, 1975 ). Importantly, since environmental conditions can be translated into the vital rates of species ( Coulson et al, 2017;Levins, 1968;Meszéna et al, 2006;Roughgarden, 1975 ), the range of intrinsic growth rates leading to feasibility can represent a set of environmental variations tolerated by the community.…”
Section: Mathematical Definition Of Feasibilitymentioning
confidence: 99%