2020
DOI: 10.1007/s12080-020-00482-7
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Inferring species interactions using Granger causality and convergent cross mapping

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Cited by 46 publications
(48 citation statements)
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“…In Box 1, we write two definitions: one based on a linear regression which we call "linear Granger causality" [4,9,40,33] and a second, more general, definition which we call "general Granger causality" [43,44,41,42,39]. Linear Granger causality is a special case of general Granger causality.…”
Section: How Might Granger Causality Fail As An Indicator Of Direct Causality? Fig 3b Lists Four Conceptually Ormentioning
confidence: 99%
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“…In Box 1, we write two definitions: one based on a linear regression which we call "linear Granger causality" [4,9,40,33] and a second, more general, definition which we call "general Granger causality" [43,44,41,42,39]. Linear Granger causality is a special case of general Granger causality.…”
Section: How Might Granger Causality Fail As An Indicator Of Direct Causality? Fig 3b Lists Four Conceptually Ormentioning
confidence: 99%
“…Linear Granger causality, popular in microbiome studies [4,9,40,33], uses standard parametric hypothesis tests to ask whether any coefficients are nonzero: if any of the ↵ k terms in Eq.1 is nonzero, then X linear well-documented software packages [48,31]. These tests assume that time series are "covariance-stationary", which means that certain statistical properties of the time series are time-independent [31] (see Appendix 1.5), and can fail when this assumption is violated [46,45,47].…”
Section: Box 1: Granger Causalitymentioning
confidence: 99%
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“…Multivariate autoregressive models have been used to investigate temporal changes in abundance together with environmental effects and biotic interaction of pelagic and lake systems (Barraquand et al, 2018;Francis et al, 2012Francis et al, , 2014Griffiths et al, 2016;Ives et al, 2003). These models are especially convenient when the number of species is relatively small and potential causes and directions of biotic interaction effects are well known, as high numbers of species easily lead to high numbers of parameters to estimate and false positive effects can occur (Barraquand et al, 2019;Ives et al, 2003). In that regard, the Baltic Sea with its long history of marine research is an ideal study system with a relatively small number of species due to its short geological history and brackish environment (Elmgren & Hill, 1997;Reusch et al, 2018).…”
Section: Introductionmentioning
confidence: 99%