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Gao B, Yang J, Chen Z, Sugihara G, Li M, Stein A, Kwan MP, Wang J. Causal inference from cross-sectional earth system data with geographical convergent cross mapping. Nat Commun 2023; 14:5875. [PMID: 37735466 PMCID: PMC10514035 DOI: 10.1038/s41467-023-41619-6] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/09/2023] [Accepted: 09/11/2023] [Indexed: 09/23/2023] Open
Abstract
Causal inference in complex systems has been largely promoted by the proposal of some advanced temporal causation models. However, temporal models have serious limitations when time series data are not available or present insignificant variations, which causes a common challenge for earth system science. Meanwhile, there are few spatial causation models for fully exploring the rich spatial cross-sectional data in Earth systems. The generalized embedding theorem proves that observations can be combined together to construct the state space of the dynamic system, and if two variables are from the same dynamic system, they are causally linked. Inspired by this, here we show a Geographical Convergent Cross Mapping (GCCM) model for spatial causal inference with spatial cross-sectional data-based cross-mapping prediction in reconstructed state space. Three typical cases, where clearly existing causations cannot be measured through temporal models, demonstrate that GCCM could detect weak-moderate causations when the correlation is not significant. When the coupling between two variables is significant and strong, GCCM is advantageous in identifying the primary causation direction and better revealing the bidirectional asymmetric causation, overcoming the mirroring effect.
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Affiliation(s)
- Bingbo Gao
- College of Land Science and Technology, China Agricultural University, Beijing, China
- Key Laboratory of Remote Sensing of Agricultural Disasters, Ministry of Agriculture and Rural Affairs, Beijing, China
| | - Jianyu Yang
- College of Land Science and Technology, China Agricultural University, Beijing, China
- Key Laboratory of Remote Sensing of Agricultural Disasters, Ministry of Agriculture and Rural Affairs, Beijing, China
| | - Ziyue Chen
- Faculty of Geographical Sciences, Beijing Normal University, Beijing, China.
| | - George Sugihara
- Scripps Institution of Oceanography, University of California, San Diego, La Jolla, CA, USA
| | - Manchun Li
- School of Geography and Ocean Science, Nanjing University, Nanjing, China
| | - Alfred Stein
- Faculty of Geo-Information Science and Earth Observation (ITC), University of Twente, Enschede, The Netherlands
| | - Mei-Po Kwan
- Department of Geography and Resource Management, and Institute of Space and Earth Information Science, The Chinese University of Hong Kong, Hong Kong, China
- Department of Human Geography and Spatial Planning, Utrecht University, Utrecht, the Netherlands
| | - Jinfeng Wang
- State Key Laboratory of Resources and Environmental Information Systems, Institute of Geographic Sciences and Nature Resources Research, Chinese Academy of Sciences, Beijing, China.
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Xi X, Li H, Chen S, Lv T, Ma T, Jiang R, Zhang P, Wong WH, Zhang X. Unfolding the genotype-to-phenotype black box of cardiovascular diseases through cross-scale modeling. iScience 2022; 25:104790. [PMID: 35992073 PMCID: PMC9386115 DOI: 10.1016/j.isci.2022.104790] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/05/2021] [Revised: 01/26/2022] [Accepted: 07/14/2022] [Indexed: 12/01/2022] Open
Abstract
Complex traits such as cardiovascular diseases (CVD) are the results of complicated processes jointly affected by genetic and environmental factors. Genome-wide association studies (GWAS) identified genetic variants associated with diseases but usually did not reveal the underlying mechanisms. There could be many intermediate steps at epigenetic, transcriptomic, and cellular scales inside the black box of genotype-phenotype associations. In this article, we present a machine-learning-based cross-scale framework GRPath to decipher putative causal paths (pcPaths) from genetic variants to disease phenotypes by integrating multiple omics data. Applying GRPath on CVD, we identified 646 and 549 pcPaths linking putative causal regions, variants, and gene expressions in specific cell types for two types of heart failure, respectively. The findings suggest new understandings of coronary heart disease. Our work promoted the modeling of tissue- and cell type-specific cross-scale regulation to uncover mechanisms behind disease-associated variants, and provided new findings on the molecular mechanisms of CVD.
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Affiliation(s)
- Xi Xi
- MOE Key Laboratory of Bioinformatics and Bioinformatics Division, BNRIST / Department of Automation, Tsinghua University, Beijing 100084, China
| | - Haochen Li
- School of Medicine, Tsinghua University, Beijing 100084, China
| | - Shengquan Chen
- MOE Key Laboratory of Bioinformatics and Bioinformatics Division, BNRIST / Department of Automation, Tsinghua University, Beijing 100084, China
| | - Tingting Lv
- Department of Cardiology, Beijing Tsinghua Changgung Hospital, School of Clinical Medicine, Tsinghua University, Beijing 102218, China
| | - Tianxing Ma
- MOE Key Laboratory of Bioinformatics and Bioinformatics Division, BNRIST / Department of Automation, Tsinghua University, Beijing 100084, China
| | - Rui Jiang
- MOE Key Laboratory of Bioinformatics and Bioinformatics Division, BNRIST / Department of Automation, Tsinghua University, Beijing 100084, China
| | - Ping Zhang
- Department of Cardiology, Beijing Tsinghua Changgung Hospital, School of Clinical Medicine, Tsinghua University, Beijing 102218, China
| | - Wing Hung Wong
- Departments of Statistics and Biomedical Data Science, Stanford University, Stanford, CA 94305, USA
| | - Xuegong Zhang
- MOE Key Laboratory of Bioinformatics and Bioinformatics Division, BNRIST / Department of Automation, Tsinghua University, Beijing 100084, China
- School of Medicine, Tsinghua University, Beijing 100084, China
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