Applying machine learning to improve simulations of a chaotic dynamical system using empirical error correction
This work addresses the challenge of enhancing simulation accuracy for weather and climate prediction, which is crucial for scientific studies and climate projections, though it is incremental as it builds on existing physical models rather than replacing them.
The researchers tackled the problem of improving simulations of chaotic dynamical systems, such as weather and climate models, by using machine learning to correct errors in physically-derived models timestep by timestep, resulting in stable models with improved skill in initialised predictions and better long-term climate statistics.
Dynamical weather and climate prediction models underpin many studies of the Earth system and hold the promise of being able to make robust projections of future climate change based on physical laws. However, simulations from these models still show many differences compared with observations. Machine learning has been applied to solve certain prediction problems with great success, and recently it's been proposed that this could replace the role of physically-derived dynamical weather and climate models to give better quality simulations. Here, instead, a framework using machine learning together with physically-derived models is tested, in which it is learnt how to correct the errors of the latter from timestep to timestep. This maintains the physical understanding built into the models, whilst allowing performance improvements, and also requires much simpler algorithms and less training data. This is tested in the context of simulating the chaotic Lorenz '96 system, and it is shown that the approach yields models that are stable and that give both improved skill in initialised predictions and better long-term climate statistics. Improvements in long-term statistics are smaller than for single time-step tendencies, however, indicating that it would be valuable to develop methods that target improvements on longer time scales. Future strategies for the development of this approach and possible applications to making progress on important scientific problems are discussed.