Articles | Volume 32, issue 3
https://doi.org/10.5194/npg-32-281-2025
© Author(s) 2025. This work is distributed under
the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
https://doi.org/10.5194/npg-32-281-2025
© Author(s) 2025. This work is distributed under
the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
Evaluation of the effectiveness of an intervention strategy in a control simulation experiment through comparison with model predictive control
Rikuto Nagai
Graduate School of Information Science and Technology, Osaka University, Osaka, Japan
Graduate School of Advanced Science and Engineering, Hiroshima University, Hiroshima, Japan
Graduate School of Advanced Science and Engineering, Hiroshima University, Hiroshima, Japan
Graduate School of Information Science and Technology, Osaka University, Osaka, Japan
Shunji Kotsuki
Institute for Advanced Academic Research, Chiba University, Chiba, Japan
Center for Environmental Remote Sensing, Chiba University, Chiba, Japan
Naoki Wakamiya
Graduate School of Information Science and Technology, Osaka University, Osaka, Japan
Related authors
No articles found.
Yusuke Hiraga, Jacqueline Muthoni Mbugua, Shunji Kotsuki, Yoshiharu Suzuki, Shu-Hua Chen, Atsushi Hamada, Kazuaki Yasunaga, and Takuya Funatomi
EGUsphere, https://doi.org/10.5194/egusphere-2025-3524, https://doi.org/10.5194/egusphere-2025-3524, 2025
This preprint is open for discussion and under review for Natural Hazards and Earth System Sciences (NHESS).
Short summary
Short summary
Can cloud seeding be a strategy to mitigate localized heavy rainfall disasters? Our numerical experiments showed that injecting large amounts of ice nuclei into convective clouds inhibited the growth of individual ice crystals to sizes sufficient for rainfall, thereby reducing rainfall in the worst-hit area and shifting it downstream. This shows promise for using cloud seeding to lessen rain-related disasters, although further studies are needed to confirm its broader effectiveness.
Kenta Kurosawa, Atsushi Okazaki, Fumitoshi Kawasaki, and Shunji Kotsuki
Nonlin. Processes Geophys., 32, 293–307, https://doi.org/10.5194/npg-32-293-2025, https://doi.org/10.5194/npg-32-293-2025, 2025
Short summary
Short summary
We propose ensemble-based model predictive control (EnMPC), a novel method that improves the control of complex systems like the atmosphere by integrating control theory with data assimilation. Unlike traditional methods, which are computationally expensive, EnMPC uses ensemble simulations to efficiently handle uncertainties and optimize solutions. This approach reduces computational cost while maintaining accuracy, making it a promising step toward real-world applications in dynamic system control.
Fumitoshi Kawasaki, Atsushi Okazaki, Kenta Kurosawa, Tadashi Tsuyuki, and Shunji Kotsuki
EGUsphere, https://doi.org/10.5194/egusphere-2025-1785, https://doi.org/10.5194/egusphere-2025-1785, 2025
Short summary
Short summary
A major challenge in weather control aimed at mitigating extreme weather events is identifying effective control inputs under limited computational resources. This study proposes a novel control framework called model predictive control with foreseeing horizon, designed to efficiently control chaotic dynamical systems. Using a 40-variable chaotic dynamical model, the proposed method successfully mitigated extreme events and reduced computational cost compared to the conventional approach.
Pascal Oettli, Keita Tokuda, Yusuke Imoto, and Shunji Kotsuki
EGUsphere, https://doi.org/10.5194/egusphere-2025-1458, https://doi.org/10.5194/egusphere-2025-1458, 2025
This preprint is open for discussion and under review for Geoscientific Model Development (GMD).
Short summary
Short summary
A tropical cyclone is a circular air movement that emerges over warm waters of the tropical ocean and its movement is guided by complex interactions between the ocean and the atmosphere. To better understand this complexity, we adopted ideas and techniques from biology and bioinformatics, to have a fresh look at this matter. This led to the creation of "MeteoScape," a tool that calculates the probability of paths for tropical cyclones can take and visualize them in an understandable way.
Atsushi Okazaki, Diego Carrio, Quentin Dalaiden, Jarrah Harrison-Lofthouse, Shunji Kotsuki, and Kei Yoshimura
EGUsphere, https://doi.org/10.5194/egusphere-2025-1389, https://doi.org/10.5194/egusphere-2025-1389, 2025
Short summary
Short summary
Data assimilation (DA) has been used to reconstruct paleoclimate fields. DA integrates model simulations and climate proxies based on their error sizes. Consequently, error information is vital for DA to function optimally. This study estimated observation errors using "innovation statistics" and demonstrated DA with estimated errors outperformed previous studies.
Takahito Mitsui, Shunji Kotsuki, Naoya Fujiwara, Atsushi Okazaki, and Keita Tokuda
EGUsphere, https://doi.org/10.5194/egusphere-2025-987, https://doi.org/10.5194/egusphere-2025-987, 2025
Short summary
Short summary
Extreme weather poses serious risks, making prevention crucial. Using the Lorenz 96 model as a testbed, we propose a bottom-up approach to mitigate extreme events via local interventions guided by multi-scenario ensemble forecasts. Unlike control-theoretic methods, our approach selects the best control scenario from available options. Achieving up to 99.4 % success, it outperforms previous methods while keeping costs reasonable, offering a practical way to reduce disasters with limited control.
Yuka Muto and Shunji Kotsuki
Hydrol. Earth Syst. Sci., 28, 5401–5417, https://doi.org/10.5194/hess-28-5401-2024, https://doi.org/10.5194/hess-28-5401-2024, 2024
Short summary
Short summary
It is crucial to improve global precipitation estimates to understand water-related disasters and water resources. This study proposes a new methodology to interpolate global precipitation fields from ground rain gauge observations using ensemble data assimilation and the precipitation of a numerical weather prediction model. Our estimates agree better with independent rain gauge observations than existing precipitation estimates, especially in mountainous or rain-gauge-sparse regions.
Shunji Kotsuki, Kenta Shiraishi, and Atsushi Okazaki
EGUsphere, https://doi.org/10.48550/arXiv.2407.17781, https://doi.org/10.48550/arXiv.2407.17781, 2024
Short summary
Short summary
Artificial intelligence (AI) is playing a bigger role in weather forecasting, often competing with physical models. However, combining AI models with data assimilation, a process that improves weather forecasts by incorporating observation data, is still relatively unexplored. This study explored coupling ensemble data assimilation with an AI weather prediction model ClimaX, succeeded in employing weather forecasts stably by applying techniques conventionally used for physical models.
Fumitoshi Kawasaki and Shunji Kotsuki
Nonlin. Processes Geophys., 31, 319–333, https://doi.org/10.5194/npg-31-319-2024, https://doi.org/10.5194/npg-31-319-2024, 2024
Short summary
Short summary
Recently, scientists have been looking into ways to control the weather to lead to a desirable direction for mitigating weather-induced disasters caused by torrential rainfall and typhoons. This study proposes using the model predictive control (MPC), an advanced control method, to control a chaotic system. Through numerical experiments using a low-dimensional chaotic system, we demonstrate that the system can be successfully controlled with shorter forecasts compared to previous studies.
Toshiyuki Ohtsuka, Atsushi Okazaki, Masaki Ogura, and Shunji Kotsuki
EGUsphere, https://doi.org/10.48550/arXiv.2405.19546, https://doi.org/10.48550/arXiv.2405.19546, 2024
Preprint withdrawn
Short summary
Short summary
We utilize weather forecasts in the reverse direction and determine how much we should change the temperature or humidity of the atmosphere at a certain time to change the future rainfall as desired. Even though a weather phenomenon is complicated, we can superimpose the effects of small changes in the atmosphere and find suitable small changes to realize desirable rainfall by solving an optimization problem. We examine this idea on a realistic weather simulator and show it is promising.
Shunji Kotsuki, Fumitoshi Kawasaki, and Masanao Ohashi
Nonlin. Processes Geophys., 31, 237–245, https://doi.org/10.5194/npg-31-237-2024, https://doi.org/10.5194/npg-31-237-2024, 2024
Short summary
Short summary
In Earth science, data assimilation plays an important role in integrating real-world observations with numerical simulations for improving subsequent predictions. To overcome the time-consuming computations of conventional data assimilation methods, this paper proposes using quantum annealing machines. Using the D-Wave quantum annealer, the proposed method found solutions with comparable accuracy to conventional approaches and significantly reduced computational time.
Kenta Kurosawa, Shunji Kotsuki, and Takemasa Miyoshi
Nonlin. Processes Geophys., 30, 457–479, https://doi.org/10.5194/npg-30-457-2023, https://doi.org/10.5194/npg-30-457-2023, 2023
Short summary
Short summary
This study aimed to enhance weather and hydrological forecasts by integrating soil moisture data into a global weather model. By assimilating atmospheric observations and soil moisture data, the accuracy of forecasts was improved, and certain biases were reduced. The method was found to be particularly beneficial in areas like the Sahel and equatorial Africa, where precipitation patterns vary seasonally. This new approach has the potential to improve the precision of weather predictions.
Mao Ouyang, Keita Tokuda, and Shunji Kotsuki
Nonlin. Processes Geophys., 30, 183–193, https://doi.org/10.5194/npg-30-183-2023, https://doi.org/10.5194/npg-30-183-2023, 2023
Short summary
Short summary
This research found that weather control would change the chaotic behavior of an atmospheric model. We proposed to introduce chaos theory in the weather control. Experimental results demonstrated that the proposed approach reduced the manipulations, including the control times and magnitudes, which throw light on the weather control in a real atmospheric model.
Shunji Kotsuki, Takemasa Miyoshi, Keiichi Kondo, and Roland Potthast
Geosci. Model Dev., 15, 8325–8348, https://doi.org/10.5194/gmd-15-8325-2022, https://doi.org/10.5194/gmd-15-8325-2022, 2022
Short summary
Short summary
Data assimilation plays an important part in numerical weather prediction (NWP) in terms of combining forecasted states and observations. While data assimilation methods in NWP usually assume the Gaussian error distribution, some variables in the atmosphere, such as precipitation, are known to have non-Gaussian error statistics. This study extended a widely used ensemble data assimilation algorithm to enable the assimilation of more non-Gaussian observations.
Cited articles
Atlas, R.: Atmospheric observations and experiments to assess their usefulness in data assimilation, J. Meteorol. Soc. Jpn., 75, 111–130, 1997. a
Bae, K., Ryu, H., and Shin, H.: Does Adam optimizer keep close to the optimal point?, arXiv [preprint], https://doi.org/10.48550/arXiv.1911.00289, 1 November 2019. a
Ban-Weiss, G. and Caldeira, K.: Geoengineering as an optimization problem, Environ. Res. Lett., 5, 034009, https://doi.org/10.1088/1748-9326/5/3/034009, 2010. a, b
Bauer, P., Thorpe, A., and Brunet, G.: The quiet revolution of numerical weather prediction, Nature, 525, 47–55, 2015.
Coumou, D. and Rahmstorf, S.: A decade of weather extremes, Nat. Clim. Change, 2, 491–496, 2012.
Dorf, R. C. and Bishop, R. H.: Modern Control Systems, 12th edn., Pearson, Upper Saddle River, NJ, USA, ISBN-10 0136024580, ISBN-13 978-0136024583, 2011. a
Field, C. B., Barros, V., Stocker, T. F., Qin, D., Dokken, D. J., Ebi, K. L., Mastrandrea, M. D., Mach, K. J., Plattner, G.-K., Allen, S. K., Tignor, M., and Midgley, P. M. (Eds.): Managing the Risks of Extreme Events and Disasters to Advance Climate Change Adaptation, 1st, edn., Cambridge University Press, Cambridge, UK and New York, NY, USA, ISBN 9781139177245, 2012.
Hall, M., Cacuci, D., and Schlesinger, M.: Sensitivity analysis of a radiative-convective model by the adjoint method., J. Atmos. Sci., 39, 2038–2050, 1982. a
Hershey, J. R., Roux, J. L., and Weninger, F.: Deep unfolding: model-based inspiration of novel deep architectures, arXiv [preprint], https://doi.org/10.48550/arXiv.1409.2574, 9 September 2014. a, b
Hinkel, J., Lincke, D., Vafeidis, A. T., Perrette, M., Nicholls, R. J., Tol, R. S. J., Marzeion, B., Fettweis, X., Ionescu, C., and Levermann, A.: Coastal flood damage and adaptation costs under 21st century sea-level rise, P. Natl. Acad. Sci. USA, 111, 3292–3297, 2014.
Hoeppe, P.: Trends in weather related disasters – Consequences for insurers and society, Weather and Climate Extremes, 11, 70–79, 2016.
Hoffman, R. N.: Controlling the global weather, B. Am. Meteorol. Soc., 83, 241–248, 2002. a
Houtekamer, P. L. and Zhang, F.: Review of the ensemble Kalman filter for atmospheric data assimilation, Mon. Weather Rev., 144, 4489–4532, 2016. a
Jagannath, A., Jagannath, J., and Melodia, T.: Redefining wireless communication for 6G: signal processing meets deep learning with deep unfolding, IEEE Transactions on Artificial Intelligence, 2, 528–536, 2021. a
Jarvis, A., Young, P., Leedal, D., and Chotai, A.: A robust sequential CO2 emissions strategy based on optimal control of atmospheric CO2 concentrations, Climatic Change, 86, 357–373, 2008. a
Jarvis, A., Leedal, D., Taylor, C. J., and Young, P.: Stabilizing global mean surface temperature: A feedback control perspective, Environ. Modell. Softw., 24, 665–674, 2009. a
Jongman, B., Ward, P. J., and Aerts, J. C. J. H.: Global exposure to river and coastal flooding: long term trends and changes, Global Environ. Chang., 22, 823–835, 2012.
Kawasaki, F. and Kotsuki, S.: Leading the Lorenz 63 system toward the prescribed regime by model predictive control coupled with data assimilation, Nonlin. Processes Geophys., 31, 319–333, https://doi.org/10.5194/npg-31-319-2024, 2024. a, b
Kravtsov, S. and Tsonis, A. A.: Lorenz-63 model as a metaphor for transient complexity in climate, Entropy, 23, 951, https://doi.org/10.3390/e23080951, 2021. a
Lea, D. J., Allen, M. R., and Haine, T. W. N.: Sensitivity analysis of the climate of a chaotic system, Tellus A, 52, 523–532, 2000. a
Liu, J. J. R., Ogura, M., Li, Q., and Lam, J.: Learning-based stabilization of Markov jump linear systems, Neurocomputing, 584, 127618, https://doi.org/10.1016/j.neucom.2024.127618, 2024. a
Masson-Delmotte, V., Zhai, P., Pirani, A., Connors, S. L., Péan, C., Berger, S., Caud, N., Chen, Y., Goldfarb, L., Gomis, M. I., Huang, M., Leitzell, K., Lonnoy, E., Matthews, J. B. R., Maycock, T. K., Waterfield, T., Yelekçi, O., Yu, R., and Zhou, B. (Eds.): Climate Change 2021: The Physical Science Basis, 1st edn., Cambridge University Press, Cambridge, United Kingdom and New York, NY, USA, ISBN 9781009157889, 2021.
Moore, J., Grinsted, A., Guo, X., Yu, X., Jevrejeva, S., Rinke, A., Cui, X., Kravitz, B., Lenton, A., and Ji, S. W. D.: Atlantic hurricane surge response to climate geoengineering, P. Natl. Acad. Sci. USA, 112, 13794–13799, 2015.
Peña, M. and Kalnay, E.: Separating fast and slow modes in coupled chaotic systems, Nonlin. Processes Geophys., 11, 319–327, https://doi.org/10.5194/npg-11-319-2004, 2004. a
Peterson, T. C., Hoerling, M. P., Stott, P. A., and Herring, S.: Explaining extreme events of 2011 from a climate perspective, B. Am. Meteorol. Soc., 93, 1041–1067, 2012.
Rawlings, J. B. and Mayne, D. Q.: Model Predictive Control: Theory and Design, 1st edn., Nob Hill Publishing, Madison, WI, USA, ISBN-10 0975937707, ISBN-13 978-0975937709, 2009. a
rikuto: ogura-lab/NPG_CSE-MPC: NPG (NPG), Zenodo [code], https://doi.org/10.5281/zenodo.16834640, 2025. a
Sierra, C. A., Metzler, H., Müller, M., and Kaiser, E.: Closed-loop and congestion control of the global carbon-climate system, Climatic Change, 165, 15, https://doi.org/10.1007/s10584-021-03040-0, 2021. a, b
Siqueira, L. and Kirtman, B.: Predictability of a low-order interactive ensemble, Nonlinear Proc. Geoph., 19, 273–282, 2012. a
Slotine, J.-J. E. and Li, W.: Applied Nonlinear Control, 1st edn., Prentice Hall, Englewood Cliffs, NJ, USA, ISBN-10 0130408905, ISBN-13 978-0130408907, 1991. a
Soldatenko, S. A.: Estimating the impact of artificially injected stratospheric aerosols on the global mean surface temperature in the 21th century, Climate, 6, 85, https://doi.org/10.3390/cli6040085, 2018. a, b, c
Soldatenko, S. A. and Chichkine, D.: Climate model sensitivity with respect to parameters and external forcing, in: Topics in Climate Modeling, Chap. 5, edited by: Hromadka, T. and Rao, P., IntechOpen, Rijeka, https://doi.org/10.5772/64710, 2016. a, b
Soldatenko, S. A. and Yusupov, R. M.: The determination of feasible control variables for geoengineering and weather modification based on the theory of sensitivity in dynamical systems, Journal of Control Science and Engineering, 2016, 1547462, https://doi.org/10.1155/2016/1547462, 2016.
Soldatenko, S. and Yusupov, R.: An optimal control perspective on weather and climate modification, Mathematics, 9, 305, https://doi.org/10.3390/math9040305, 2021.
Sun, Q., Miyoshi, T., and Richard, S.: Control simulation experiments of extreme events with the Lorenz-96 model, Nonlin. Processes Geophys., 30, 117–128, https://doi.org/10.5194/npg-30-117-2023, 2023. a, b, c
Wang, Q.: Forward and adjoint sensitivity computation of chaotic dynamical systems, J. Comput. Phys., 235, 1–13, 2013. a
Weller, S. and Schulz, B.: Geoengineering via solar radiation management as a feedback control problem: Controller design for disturbance rejection, 2014 4th Australian Control Conference, 17–18 November 2014, Canberra, Australia, 101–106, https://doi.org/10.1109/AUCC.2014.7358684, 2014. a, b, c, d
Short summary
Controlling chaotic systems is a key step toward weather control. The control simulation experiment (CSE) modifies weather systems using small perturbations, as shown in studies with the Lorenz-63 model. However, the effectiveness of CSE compared to other methods is unclear. This study evaluates CSE against model predictive control (MPC). Simulations reveal that MPC achieves higher success rates with less effort under certain conditions, linking control theory and atmospheric science.
Controlling chaotic systems is a key step toward weather control. The control simulation...