The Complexity–Stability Debate, Chemical Organization Theory, and the Identification of Non-classical Structures in Ecology

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dc.contributor.authorVeloz, Tomas
dc.date.accessioned2021-09-23T18:54:56Z
dc.date.available2021-09-23T18:54:56Z
dc.date.issued2020-03
dc.description.abstractWe present a novel approach to represent ecological systems using reaction networks, and show how a particular framework called chemical organization theory (COT) sheds new light on the longstanding complexity–stability debate. Namely, COT provides a novel conceptual landscape plenty of analytic tools to explore the interplay between structure and stability of ecological systems. Given a large set of species and their interactions, COT identifies, in a computationally feasible way, each and every sub-collection of species that is closed and self-maintaining. These sub-collections, called organizations, correspond to the groups of species that can survive together (co-exist) in the long-term. Thus, the set of organizations contains all the stable regimes that can possibly happen in the dynamics of the ecological system. From here, we propose to conceive the notion of stability from the properties of the organizations, and thus apply the vast knowledge on the stability of reaction networks to the complexity–stability debate. As an example of the potential of COT to introduce new mathematical tools, we show that the set of organizations can be equipped with suitable joint and meet operators, and that for certain ecological systems the organizational structure is a non-boolean lattice, providing in this way an unexpected connection between logico-algebraic structures, popular in the foundations of quantum theory, and ecology. © 2019, Springer Nature B.V.es
dc.description.sponsorshipIndexación: Scopuses
dc.identifier.citationFoundations of ScienceOpen AccessVolume 25, Issue 1, Pages 259 - 2731 March 2020es
dc.identifier.issn12331821
dc.identifier.urihttp://repositorio.unab.cl/xmlui/handle/ria/20375
dc.language.isoenes
dc.publisherSpringeres
dc.subjectChemical organization theory; Complexity stability debate; Ecological modeling; Non-boolean lattice; Reaction networkses
dc.titleThe Complexity–Stability Debate, Chemical Organization Theory, and the Identification of Non-classical Structures in Ecologyes
dc.typeArtículoes
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