The k-core as a predictor of structural collapse in mutualistic ecosystems
| Autor: | Flaviano Morone, Gino Del Ferraro, Hernán A. Makse |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2018 |
| Předmět: |
Physics
Physics - Physics and Society Dynamical systems theory FOS: Physical sciences General Physics and Astronomy Collapse (topology) Context (language use) Disordered Systems and Neural Networks (cond-mat.dis-nn) Physics and Society (physics.soc-ph) Condensed Matter - Disordered Systems and Neural Networks Tipping point (climatology) Dynamical system 01 natural sciences Instability Nonlinear Sciences - Adaptation and Self-Organizing Systems 010305 fluids & plasmas Variable (computer science) Biological Physics (physics.bio-ph) 0103 physical sciences Quantitative Biology::Populations and Evolution Statistical physics Physics - Biological Physics 010306 general physics Adaptation and Self-Organizing Systems (nlin.AO) Biological network |
| Popis: | Collapses of dynamical systems into irrecoverable states are observed in ecosystems, human societies, financial systems and network infrastructures. Despite their widespread occurrence and impact, these events remain largely unpredictable. In searching for the causes for collapse and instability, theoretical investigations have so far been unable to determine quantitatively the influence of the structural features of the network formed by the interacting species. Here, we derive the condition for the stability of a mutualistic ecosystem as a constraint on the strength of the dynamical interactions between species and a topological invariant of the network: the k-core. Our solution predicts that when species located at the maximum k-core of the network go extinct, as a consequence of sufficiently weak interaction strengths, the system will reach the tipping point of its collapse. As a key variable involved in collapse phenomena, monitoring the k-core of the network may prove a powerful method to anticipate catastrophic events in the vast context that stretches from ecological and biological networks to finance. Predicting the collapse of a dynamical system by monitoring the structure of its network of interaction takes the form of stability conditions formulated in terms of a topological invariant of the network, the k-core. |
| Databáze: | OpenAIRE |
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