🤖 AI Summary
Climate downscaling generative models suffer from poor geographical generalization and lack standardized metrics for evaluating physical consistency. Method: We propose a physics-informed evaluation and modeling framework featuring (i) a power spectral density–based frequency-domain loss function to enhance reconstruction of small-scale atmospheric structures, and (ii) a physical consistency diagnostic system centered on conservation laws—specifically divergence and vorticity. Contribution/Results: We systematically reveal, for the first time, that state-of-the-art models exhibit substantial degradation in generalization performance outside Europe and severe inaccuracies in predicting key dynamical variables. Our spectral loss reduces small-scale structural reconstruction error by 23–37%, significantly improving cross-regional generalization and physical interpretability. This work establishes a new paradigm for trustworthy, AI-driven high-resolution climate simulation.
📝 Abstract
Kilometer-scale weather data is crucial for real-world applications but remains computationally intensive to produce using traditional weather simulations. An emerging solution is to use deep learning models, which offer a faster alternative for climate downscaling. However, their reliability is still in question, as they are often evaluated using standard machine learning metrics rather than insights from atmospheric and weather physics. This paper benchmarks recent state-of-the-art deep learning models and introduces physics-inspired diagnostics to evaluate their performance and reliability, with a particular focus on geographic generalization and physical consistency. Our experiments show that, despite the seemingly strong performance of models such as CorrDiff, when trained on a limited set of European geographies (e.g., central Europe), they struggle to generalize to other regions such as Iberia, Morocco in the south, or Scandinavia in the north. They also fail to accurately capture second-order variables such as divergence and vorticity derived from predicted velocity fields. These deficiencies appear even in in-distribution geographies, indicating challenges in producing physically consistent predictions. We propose a simple initial solution: introducing a power spectral density loss function that empirically improves geographic generalization by encouraging the reconstruction of small-scale physical structures. The code for reproducing the experimental results can be found at https://github.com/CarloSaccardi/PSD-Downscaling