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  Enhancing the predictability limits of ENSO with physics-guided deep echo state networks

Zhang, Z., Meng, J., Qiu, Z., Duan, W., Gao, J., Yan, Z., Xiao, J., Chen, X., Cai, W., Kurths, J., Havlin, S., Fan, J. (2026): Enhancing the predictability limits of ENSO with physics-guided deep echo state networks. - npj Climate and Atmospheric Science, 9, 92.
https://doi.org/10.1038/s41612-026-01360-5

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Zhang_2026_s41612-026-01360-5.pdf (Publisher version), 4MB
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Zhang_2026_s41612-026-01360-5.pdf
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https://github.com/zhangzejing/RC-ENSO (Supplementary material)
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 Creators:
Zhang, Zejing1, Author
Meng, Jun1, Author
Qiu, Zhongpu1, Author
Duan, Wansuo1, Author
Gao, Jian1, Author
Yan, Zixiang1, Author
Xiao, Jinghua1, Author
Chen, Xiaosong1, Author
Cai, Wenju1, Author
Kurths, Jürgen2, Author           
Havlin, Shlomo1, Author
Fan, Jingfang2, Author           
Affiliations:
1External Organizations, ou_persistent22              
2Potsdam Institute for Climate Impact Research, ou_persistent13              

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 Abstract: The El Niño-Southern Oscillation (ENSO) is a dominant mode of interannual climate variability, yet the mechanisms limiting its long-lead predictability remain unclear. Here, we develop a physics-guided Deep Echo State Network (DESN) that operates on physically interpretable climate modes selected from the extended recharge oscillator (XRO) framework. DESN achieves skillful Niño 3.4 predictions up to 16–20 months ahead with minimal computational cost. Mechanistic experiments show that extended predictability arises from nonlinear coupling between warm water volume and inter-basin climate modes. Error-growth analysis further indicates a finite ENSO predictability horizon of approximately 30 months. These results demonstrate that physics-guided reservoir computing provides an efficient and interpretable framework for diagnosing and predicting ENSO at long lead times.

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Language(s): eng - English
 Dates: 2026-02-282026-04-09
 Publication Status: Finally published
 Pages: 12
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: DOI: 10.1038/s41612-026-01360-5
MDB-ID: No MDB - stored outside PIK (see locators/paper)
PIKDOMAIN: RD4 - Complexity Science
Organisational keyword: RD4 - Complexity Science
Research topic keyword: Atmosphere
Research topic keyword: Complex Networks
Research topic keyword: Nonlinear Dynamics
Research topic keyword: Extremes
OATYPE: Gold Open Access
 Degree: -

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Title: npj Climate and Atmospheric Science
Source Genre: Journal, SCI, Scopus, oa
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Pages: - Volume / Issue: 9 Sequence Number: 92 Start / End Page: - Identifier: CoNE: https://publications.pik-potsdam.de/cone/journals/resource/npj-climate-atmospheric-science
Publisher: Nature