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Coping with dating errors in causality estimation

Urheber*innen

Smirnov,  D. A.
External Organizations;

/persons/resource/Marwan

Marwan,  Norbert
Potsdam Institute for Climate Impact Research;

Breitenbach,  S. F. M.
External Organizations;

Lechleitner,  F.
External Organizations;

/persons/resource/Juergen.Kurths

Kurths,  Jürgen
Potsdam Institute for Climate Impact Research;

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Zitation

Smirnov, D. A., Marwan, N., Breitenbach, S. F. M., Lechleitner, F., Kurths, J. (2017): Coping with dating errors in causality estimation. - EPL (Europhysics Letters), 117, 1, 10004.
https://doi.org/10.1209/0295-5075/117/10004


Zitierlink: https://publications.pik-potsdam.de/pubman/item/item_21630
Zusammenfassung
We consider the problem of estimating causal influences between observed processes from time series possibly corrupted by errors in the time variable (dating errors) which are typical in palaeoclimatology, planetary science and astrophysics. "Causality ratio" based on the Wiener-Granger causality is proposed and studied for a paradigmatic class of model systems to reveal conditions under which it correctly indicates directionality of unidirectional coupling. It is argued that in the case of a priori known directionality, the causality ratio allows a characterization of dating errors and observational noise. Finally, we apply the developed approach to palaeoclimatic data and quantify the influence of solar activity on tropical Atlantic climate dynamics over the last two millennia. A stronger solar influence in the first millennium A.D. is inferred. The results also suggest a dating error of about 20 years in the solar proxy time series over the same period.