2016
DOI: 10.1146/annurev-ecolsys-032416-010215
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Characterizing Species Interactions to Understand Press Perturbations: What Is the Community Matrix?

Abstract: The community matrix is among ecology's most important mathematical abstractions, formally encapsulating the interconnected network of effects that species have on one another's populations. Despite its importance, the term "community matrix" has been applied to multiple types of matrices that have differing interpretations. This has hindered the application of theory for understanding community structure and perturbation responses. Here, we clarify the correspondence and distinctions among the Interaction mat… Show more

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Cited by 107 publications
(149 citation statements)
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References 99 publications
(162 reference statements)
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“…However, in model networks, net effects are commonly analyzed by calculating the negative of the inverse Jacobian matrix (Novak et al. ). The formulation of our model, without static interaction coefficients and, potentially without attaining static equilibria, limits the applicability of analyses based on Jacobian matrices.…”
Section: Discussionmentioning
confidence: 99%
“…However, in model networks, net effects are commonly analyzed by calculating the negative of the inverse Jacobian matrix (Novak et al. ). The formulation of our model, without static interaction coefficients and, potentially without attaining static equilibria, limits the applicability of analyses based on Jacobian matrices.…”
Section: Discussionmentioning
confidence: 99%
“…For example, in empirical studies of mutualistic interactions, the degree of species dependence on another species (see 'Network complexity' for a definition) has been used to quantify the link among involved species (Jordano 1987). See also Berlow et al 2004, Wootton and Emmerson 2005, and Novak et al 2016 for reviews on the different definitions of strength of interaction and of the matrix A.…”
Section: Ecological Network Definedmentioning
confidence: 99%
“…; Novak et al . ). Recognising that the answers to these two questions will not be the same in all circumstances will be key to future progress.…”
Section: Discussionmentioning
confidence: 97%