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Article

Hybrid Hydrological Forecasting Through a Physical Model and a Weather-Informed Transformer Model: A Case Study in Greek Watershed

by
Haris Ampas
1,*,
Ioannis Refanidis
1 and
Vasilios Ampas
2
1
Department of Applied Informatics, University of Macedonia ,54636 Thessaloniki, Greece
2
Department of Agriculture, University of Western Macedonia, 53100 Florina, Greece
*
Author to whom correspondence should be addressed.
Appl. Sci. 2025, 15(12), 6679; https://doi.org/10.3390/app15126679 (registering DOI)
Submission received: 5 May 2025 / Revised: 26 May 2025 / Accepted: 11 June 2025 / Published: 13 June 2025

Abstract

This study explores a hybrid AI framework for streamflow forecasting that integrates physically based hydrological modeling, bias correction, and deep learning. HEC-HMS simulations generate synthetic discharge, which a machine learning-based bias correction model adjusts for irrigation-induced discrepancies—improving the Nash–Sutcliffe Efficiency (NSE) from 0.55 to 0.84, the Kling–Gupta Efficiency (KGE) from 0.67 to 0.89, and reducing the RMSE from 1.084 to 0.301 m3/s. The corrected discharge is used as input to a Temporal Fusion Transformer (TFT) trained on hourly meteorological data to predict streamflow at 24-, 48-, and 72-h horizons. In a semi-arid, irrigated basin in Northern Greece, the TFT achieves NSEs of 0.84, 0.78, and 0.71 and RMSEs of 0.301, 0.743, and 0.980 m3/s, respectively. Probabilistic forecasts deliver uncertainty bounds with coverage near nominal levels. In addition, the model’s built-in interpretability reveals temporal and meteorological influences—such as precipitation—that enhance predictive performance. This framework demonstrates the synergistic benefits of combining physically based modeling with state-of-the-art deep learning to support robust, multi-horizon forecasts in irrigation-influenced, data-scarce environments.
Keywords: hybrid modeling; streamflow forecasting; hydrological simulation; deep learning in hydrology; temporal fusion transformer; HEC-HMS; probabilistic forecasting hybrid modeling; streamflow forecasting; hydrological simulation; deep learning in hydrology; temporal fusion transformer; HEC-HMS; probabilistic forecasting

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MDPI and ACS Style

Ampas, H.; Refanidis, I.; Ampas, V. Hybrid Hydrological Forecasting Through a Physical Model and a Weather-Informed Transformer Model: A Case Study in Greek Watershed. Appl. Sci. 2025, 15, 6679. https://doi.org/10.3390/app15126679

AMA Style

Ampas H, Refanidis I, Ampas V. Hybrid Hydrological Forecasting Through a Physical Model and a Weather-Informed Transformer Model: A Case Study in Greek Watershed. Applied Sciences. 2025; 15(12):6679. https://doi.org/10.3390/app15126679

Chicago/Turabian Style

Ampas, Haris, Ioannis Refanidis, and Vasilios Ampas. 2025. "Hybrid Hydrological Forecasting Through a Physical Model and a Weather-Informed Transformer Model: A Case Study in Greek Watershed" Applied Sciences 15, no. 12: 6679. https://doi.org/10.3390/app15126679

APA Style

Ampas, H., Refanidis, I., & Ampas, V. (2025). Hybrid Hydrological Forecasting Through a Physical Model and a Weather-Informed Transformer Model: A Case Study in Greek Watershed. Applied Sciences, 15(12), 6679. https://doi.org/10.3390/app15126679

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