Ocean turbulence parameterization has principally been based on process-based approaches, seeking to embed physical principles so that coarser resolution calculations can capture the net influence of smaller scale unresolved processes. More recently there has been an increasing focus on the application of data-driven approaches to this problem. Here we consider the application of online learning to data-driven eddy parameterization, constructing an end-to-end automatically differentiable dynamical solver forced by a neural network (NN), and training the NN based on the dynamics of the combined hybrid system. This approach is applied to the classic barotropic Stommel-Munk gyre problem—a highly idealized configuration which nevertheless includes multiple flow regimes, boundary dynamics, and a separating jet, and therefore presents a challenging test case for the online learning approach. It is found that a NN which is suitably trained can lead to a coarse resolution NN parameterized model which is stable, and has both a reasonable mean state and intrinsic variability. This suggests that online learning is a powerful tool for studying the problem of ocean turbulence parameterization. A test of generalizability with a modified wind forcing shows some positive results. However a test of symmetry preservation demonstrates that the NN parameterized model fails to respect an intrinsic symmetry property of the underlying system.
{"title":"Online Learning in Idealized Ocean Gyres","authors":"James R. Maddison","doi":"10.1029/2024MS004883","DOIUrl":"https://doi.org/10.1029/2024MS004883","url":null,"abstract":"<p>Ocean turbulence parameterization has principally been based on process-based approaches, seeking to embed physical principles so that coarser resolution calculations can capture the net influence of smaller scale unresolved processes. More recently there has been an increasing focus on the application of data-driven approaches to this problem. Here we consider the application of online learning to data-driven eddy parameterization, constructing an end-to-end automatically differentiable dynamical solver forced by a neural network (NN), and training the NN based on the dynamics of the combined hybrid system. This approach is applied to the classic barotropic Stommel-Munk gyre problem—a highly idealized configuration which nevertheless includes multiple flow regimes, boundary dynamics, and a separating jet, and therefore presents a challenging test case for the online learning approach. It is found that a NN which is suitably trained can lead to a coarse resolution NN parameterized model which is stable, and has both a reasonable mean state and intrinsic variability. This suggests that online learning is a powerful tool for studying the problem of ocean turbulence parameterization. A test of generalizability with a modified wind forcing shows some positive results. However a test of symmetry preservation demonstrates that the NN parameterized model fails to respect an intrinsic symmetry property of the underlying system.</p>","PeriodicalId":14881,"journal":{"name":"Journal of Advances in Modeling Earth Systems","volume":"18 2","pages":""},"PeriodicalIF":4.6,"publicationDate":"2026-02-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://agupubs.onlinelibrary.wiley.com/doi/epdf/10.1029/2024MS004883","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146136119","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"地球科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Judongyang Zhou, Fangxin Fang, Christopher C. Pain, Linfeng Li, Jie Zheng, Yanghua Wang, Ionel Michael Navon, Jiang Zhu
The accuracy of global forecasting of atmospheric composition is essential for protecting public health and advancing climate research. Carbon monoxide (CO), a key pollutant with indirect greenhouse effects, requires timely and accurate prediction. We propose Duo-AttnOPNets, an operational framework that combines a deep learning-based forecasting module Duo-AttnForeNet with a training-free data assimilation module Duo-AttnVarNet. Duo-AttnForeNet employs CSLSTM blocks—built from ConvLSTM cells and dual attention mechanisms—to effectively capture spatio-temporal dynamics. Duo-AttnVarNet leverages automatic differentiation and GPU acceleration to enable efficient four-dimensional variational (4D-Var) assimilation without extensive manual adjoint coding. We evaluate Duo-AttnOPNets against the Integrated Forecasting System for Atmospheric Composition (C-IFS). Results show that Duo-AttnOPNets achieves comparable or superior accuracy in both forecasting and assimilation, while generating 5-day forecasts within seconds on a single GPU. These findings demonstrate its potential for real-time, scalable, and accurate CO forecasting, marking a promising advance in integrating deep learning with traditional variational methods for operational atmospheric modeling.
{"title":"Duo-AttnOPNets: Advancing Global Operational Forecasting for Atmospheric Carbon Monoxide With AI-Empowered 4D-Var","authors":"Judongyang Zhou, Fangxin Fang, Christopher C. Pain, Linfeng Li, Jie Zheng, Yanghua Wang, Ionel Michael Navon, Jiang Zhu","doi":"10.1029/2025MS005319","DOIUrl":"https://doi.org/10.1029/2025MS005319","url":null,"abstract":"<p>The accuracy of global forecasting of atmospheric composition is essential for protecting public health and advancing climate research. Carbon monoxide (CO), a key pollutant with indirect greenhouse effects, requires timely and accurate prediction. We propose Duo-AttnOPNets, an operational framework that combines a deep learning-based forecasting module Duo-AttnForeNet with a training-free data assimilation module Duo-AttnVarNet. Duo-AttnForeNet employs CSLSTM blocks—built from ConvLSTM cells and dual attention mechanisms—to effectively capture spatio-temporal dynamics. Duo-AttnVarNet leverages automatic differentiation and GPU acceleration to enable efficient four-dimensional variational (4D-Var) assimilation without extensive manual adjoint coding. We evaluate Duo-AttnOPNets against the Integrated Forecasting System for Atmospheric Composition (C-IFS). Results show that Duo-AttnOPNets achieves comparable or superior accuracy in both forecasting and assimilation, while generating 5-day forecasts within seconds on a single GPU. These findings demonstrate its potential for real-time, scalable, and accurate CO forecasting, marking a promising advance in integrating deep learning with traditional variational methods for operational atmospheric modeling.</p>","PeriodicalId":14881,"journal":{"name":"Journal of Advances in Modeling Earth Systems","volume":"18 2","pages":""},"PeriodicalIF":4.6,"publicationDate":"2026-02-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://agupubs.onlinelibrary.wiley.com/doi/epdf/10.1029/2025MS005319","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146129958","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"地球科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
J. M. Nugent, H. Brown, A. Kirby, D. T. McCoy, G. Allen, T. Aerenson, S. M. Burrows, D. Caulton, J. Fan, Y. Feng, A. Gettelman, J. Griswold, D. B. Jones, L. R. Leung, N. Mahfouz, A. Mikkelsen, J. Mülmenstädt, Y. Qian, Y. Shan, J. Shpund, I. Silber, C. Song, X. Song, H. Wang, M. Wu, S. Xie, M. D. Zelinka, D. Zhang, G. J. Zhang, K. Zhang
Aerosol-cloud interactions (aci) are the leading source of uncertainty in inferring climate sensitivity from the historical record. Earth system models (ESMs) struggle to represent aci because the processes responsible for these phenomena occur at much finer time and space scales than can be resolved by any ESM. Observational constraints provide key benchmarks to test ESMs, but cannot be used alone to fully understand aci processes except in very specific cases where causality is controlled; some degree of modeling is required to infer aci and estimate radiative forcing. Here, we generate and characterize a perturbed parameter ensemble (PPE) in version 3 of the Energy Exascale ESM (E3SMv3). We perturb 25 parameters that govern aci processes over 250 members and integrate the model over present-day and preindustrial aerosol emissions. We find that the process representation in E3SMv3 is flexible and can generate global-mean effective radiative forcings due to aci (ERFaci) ranging from −3.0 to +0.9 W m−2. The positive ERFaci values simulated by a portion of the PPE are implausible and result from parameter combinations that produce unrealistic top-of-atmosphere energy fluxes. While global-mean cloud droplet number concentration always increases in response to anthropogenic aerosol, cloud liquid water path can both increase and decrease, suggesting that precipitation suppression is not the only aerosol-cloud adjustment represented by E3SMv3. Analysis of which processes control liquid cloud adjustment in the PPE points toward stratiform precipitation processes and aerosol activation, which is consistent with many previous ESMs, as well as the new two-moment convective cloud microphysics in E3SMv3.
气溶胶-云相互作用(aci)是根据历史记录推断气候敏感性的主要不确定性来源。地球系统模型(ESM)难以表示aci,因为导致这些现象的过程发生在比任何ESM都能解决的更精细的时间和空间尺度上。观察约束为测试esm提供了关键基准,但不能单独用于完全理解aci过程,除非在因果关系得到控制的非常具体的情况下;需要一定程度的模式来推断aci和估计辐射强迫。在这里,我们在Energy Exascale ESM (E3SMv3)的版本3中生成并表征了一个扰动参数集合(PPE)。我们扰动了25个参数,这些参数控制着250多个成员的aci过程,并将模型整合到当今和工业化前的气溶胶排放中。我们发现E3SMv3中的过程表示是灵活的,并且可以产生由aci (ERFaci)引起的全球平均有效辐射强迫,范围从−3.0到+0.9 W m−2。部分PPE模拟的正ERFaci值是不可信的,是由产生不切实际的大气顶部能量通量的参数组合造成的。虽然全球平均云滴数浓度对人为气溶胶的响应总是增加的,但云液态水路径可以增加和减少,这表明以E3SMv3为代表的气溶胶-云调整不仅仅是降水抑制。对PPE中控制液云调整的过程的分析指向层状降水过程和气溶胶激活,这与之前的许多esm以及E3SMv3中新的双矩对流云微物理一致。
{"title":"Overview of the Nephele Perturbed Parameter Ensemble for Aerosol-Cloud Interactions in E3SMv3","authors":"J. M. Nugent, H. Brown, A. Kirby, D. T. McCoy, G. Allen, T. Aerenson, S. M. Burrows, D. Caulton, J. Fan, Y. Feng, A. Gettelman, J. Griswold, D. B. Jones, L. R. Leung, N. Mahfouz, A. Mikkelsen, J. Mülmenstädt, Y. Qian, Y. Shan, J. Shpund, I. Silber, C. Song, X. Song, H. Wang, M. Wu, S. Xie, M. D. Zelinka, D. Zhang, G. J. Zhang, K. Zhang","doi":"10.1029/2025MS004989","DOIUrl":"10.1029/2025MS004989","url":null,"abstract":"<p>Aerosol-cloud interactions (aci) are the leading source of uncertainty in inferring climate sensitivity from the historical record. Earth system models (ESMs) struggle to represent aci because the processes responsible for these phenomena occur at much finer time and space scales than can be resolved by any ESM. Observational constraints provide key benchmarks to test ESMs, but cannot be used alone to fully understand aci processes except in very specific cases where causality is controlled; some degree of modeling is required to infer aci and estimate radiative forcing. Here, we generate and characterize a perturbed parameter ensemble (PPE) in version 3 of the Energy Exascale ESM (E3SMv3). We perturb 25 parameters that govern aci processes over 250 members and integrate the model over present-day and preindustrial aerosol emissions. We find that the process representation in E3SMv3 is flexible and can generate global-mean effective radiative forcings due to aci (ERFaci) ranging from −3.0 to +0.9 W m<sup>−</sup><sup>2</sup>. The positive ERFaci values simulated by a portion of the PPE are implausible and result from parameter combinations that produce unrealistic top-of-atmosphere energy fluxes. While global-mean cloud droplet number concentration always increases in response to anthropogenic aerosol, cloud liquid water path can both increase and decrease, suggesting that precipitation suppression is not the only aerosol-cloud adjustment represented by E3SMv3. Analysis of which processes control liquid cloud adjustment in the PPE points toward stratiform precipitation processes and aerosol activation, which is consistent with many previous ESMs, as well as the new two-moment convective cloud microphysics in E3SMv3.</p>","PeriodicalId":14881,"journal":{"name":"Journal of Advances in Modeling Earth Systems","volume":"18 2","pages":""},"PeriodicalIF":4.6,"publicationDate":"2026-02-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://agupubs.onlinelibrary.wiley.com/doi/epdf/10.1029/2025MS004989","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146130011","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"地球科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}