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A Deep State Space Model for Rainfall-Runoff Simulations

2025/01/24 by Yihan Wang, Lujun Zhang, Wang, Yihan +7 · 2 citations
Earth and Planetary Sciences · Environmental Science · #Artificial Intelligence (cs.AI) #Atmospheric and Oceanic Physics (physics.ao-ph) #FOS: Computer and information sciences #FOS: Physical sciences #Flood Risk Assessment and Management #Hydrology and Watershed Management Studies #Machine Learning (cs.LG) #Meteorological Phenomena and Simulations

paper · pdf · doi:10.48550/arxiv.2501.14980

openalex publication_date 2025/01/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

The classical way of studying the rainfall-runoff processes in the water cycle relies on conceptual or physically-based hydrologic models. Deep learning (DL) has recently emerged as an alternative and blossomed in hydrology community for rainfall-runoff simulations. However, the decades-old Long Short-Term Memory (LSTM) network remains the benchmark for this task, outperforming newer architectures like Transformers. In this work, we propose a State Space Model (SSM), specifically the Frequency Tuned Diagonal State Space Sequence (S4D-FT) model, for rainfall-runoff simulations. The proposed S4D-FT is benchmarked against the established LSTM and a physically-based Sacramento Soil Moisture Accounting model across 531 watersheds in the contiguous United States (CONUS). Results show that S4D-FT is able to outperform the LSTM model across diverse regions. Our pioneering introduction of the S4D-FT for rainfall-runoff simulations challenges the dominance of LSTM in the hydrology community and expands the arsenal of DL tools available for hydrological modeling.

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