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hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorBARRAQUAND, Frédéric
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorPICOCHE, Coralie
dc.contributor.authorDETTO, Matteo
dc.contributor.authorHARTIG, Florian
dc.date.accessioned2024-04-04T02:59:14Z
dc.date.available2024-04-04T02:59:14Z
dc.date.issued2020-11-16
dc.identifier.issn1874-1738
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/192725
dc.description.abstractEnIdentifying directed interactions between species from time series of their population densities has many uses in ecology. This key statistical task is equivalent to causal time series inference, which connects to the Granger causality (GC) concept: $x$ causes $y$ if $x$ improves the prediction of $y$ in a dynamic model. However, the entangled nature of nonlinear ecological systems has led to question the appropriateness of Granger causality, especially in its classical linear Multivariate AutoRegressive (MAR) model form. Convergent-cross mapping (CCM), developed for deterministic dynamical systems, has been suggested as an alternative, although less grounded in statistical theory. Here, we show that linear GC and CCM are able to uncover interactions with surprisingly similar performance, for predator-prey cycles, 2-species deterministic (chaotic) or stochastic competition, as well 10- and 20-species interaction networks. There is no correspondence between the degree of nonlinearity of the dynamics and which method performs best. Our results therefore imply that Granger causality, even in its linear MAR($p$) formulation, is a valid method for inferring interactions in nonlinear ecological networks; using GC or CCM (or both) can instead be decided based on the aims and specifics of the analysis.
dc.language.isoen
dc.publisherSpringer
dc.title.enInferring species interactions using Granger causality and convergent cross mapping
dc.typeArticle de revue
dc.identifier.doi10.1007/s12080-020-00482-7
dc.subject.halSciences de l'environnement/Biodiversité et Ecologie
dc.subject.halMathématiques [math]/Statistiques [math.ST]
dc.subject.halSciences du Vivant [q-bio]/Bio-Informatique, Biologie Systémique [q-bio.QM]
dc.subject.halSciences du Vivant [q-bio]/Biodiversité/Evolution [q-bio.PE]
dc.identifier.arxiv1909.00731
bordeaux.journalTheoretical Ecology
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-02362293
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-02362293v1
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