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Sci Rep. 2015 Oct 05;5:14750. doi: 10.1038/srep14750.

Distinguishing time-delayed causal interactions using convergent cross mapping.

Scientific reports

Hao Ye, Ethan R Deyle, Luis J Gilarranz, George Sugihara

Affiliations

  1. Scripps Institution of Oceanography, University of California San Diego, La Jolla, CA, USA.
  2. Integrative Ecology Group, Estación Biológica de Doñana, CSIC, Sevilla, Spain.

PMID: 26435402 PMCID: PMC4592974 DOI: 10.1038/srep14750

Abstract

An important problem across many scientific fields is the identification of causal effects from observational data alone. Recent methods (convergent cross mapping, CCM) have made substantial progress on this problem by applying the idea of nonlinear attractor reconstruction to time series data. Here, we expand upon the technique of CCM by explicitly considering time lags. Applying this extended method to representative examples (model simulations, a laboratory predator-prey experiment, temperature and greenhouse gas reconstructions from the Vostok ice core, and long-term ecological time series collected in the Southern California Bight), we demonstrate the ability to identify different time-delayed interactions, distinguish between synchrony induced by strong unidirectional-forcing and true bidirectional causality, and resolve transitive causal chains.

References

  1. Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 1996 Dec;54(6):6708-6724 - PubMed
  2. J Neurosci Methods. 2006 Jan 30;150(2):228-37 - PubMed
  3. Nature. 1990 Apr 19;344(6268):734-41 - PubMed
  4. Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 1995 Feb;51(2):980-994 - PubMed
  5. Neural Comput. 2015 Aug;27(8):1555-608 - PubMed
  6. PLoS One. 2011;6(3):e18295 - PubMed
  7. Science. 2012 Oct 26;338(6106):496-500 - PubMed
  8. Nature. 2009 May 28;459(7246):556-9 - PubMed
  9. Proc Natl Acad Sci U S A. 2015 Mar 31;112(13):E1569-76 - PubMed
  10. Proc Biol Sci. 2013 Oct 7;280(1768):20131389 - PubMed
  11. Proc Natl Acad Sci U S A. 2013 Apr 16;110(16):6430-5 - PubMed

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