001006966 001__ 1006966 001006966 005__ 20231027114402.0 001006966 0247_ $$2doi$$a10.5194/gmd-16-2149-2023 001006966 0247_ $$2ISSN$$a1991-959X 001006966 0247_ $$2ISSN$$a1991-9603 001006966 0247_ $$2Handle$$a2128/34378 001006966 0247_ $$2WOS$$aWOS:000972780500001 001006966 037__ $$aFZJ-2023-01917 001006966 082__ $$a550 001006966 1001_ $$0P:(DE-Juel1)178989$$aTesch, Tobias$$b0$$eCorresponding author 001006966 245__ $$aCausal deep learning models for studying the Earth system 001006966 260__ $$aKatlenburg-Lindau$$bCopernicus$$c2023 001006966 3367_ $$2DRIVER$$aarticle 001006966 3367_ $$2DataCite$$aOutput Types/Journal article 001006966 3367_ $$0PUB:(DE-HGF)16$$2PUB:(DE-HGF)$$aJournal Article$$bjournal$$mjournal$$s1683536339_19928 001006966 3367_ $$2BibTeX$$aARTICLE 001006966 3367_ $$2ORCID$$aJOURNAL_ARTICLE 001006966 3367_ $$00$$2EndNote$$aJournal Article 001006966 520__ $$aEarth is a complex non-linear dynamical system. Despite decades of research and considerable scientific and methodological progress, many processes and relations between Earth system variables remain poorly understood. Current approaches for studying relations in the Earth system rely either on numerical simulations or statistical approaches. However, there are several inherent limitations to existing approaches, including high computational costs, uncertainties in numerical models, strong assumptions about linearity or locality, and the fallacy of correlation and causality. Here, we propose a novel methodology combining deep learning (DL) and principles of causality research in an attempt to overcome these limitations. On the one hand, we employ the recent idea of training and analyzing DL models to gain new scientific insights into relations between input and target variables. On the other hand, we use the fact that a statistical model learns the causal effect of an input variable on a target variable if suitable additional input variables are included. As an illustrative example, we apply the methodology to study soil-moisture–precipitation coupling in ERA5 climate reanalysis data across Europe. 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