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Review

A Review of XAI Methods Applications in Forecasting Runoff and Water Level Hydrological Tasks

by
Andrei M. Bramm
*,
Pavel V. Matrenin
and
Alexandra I. Khalyasmaa
Ural Power Engineering Institute, Ural Federal University Named After the First President of Russia B.N. Yeltsin, Ekaterinburg 620062, Russia
*
Author to whom correspondence should be addressed.
Mathematics 2025, 13(17), 2830; https://doi.org/10.3390/math13172830
Submission received: 30 July 2025 / Revised: 24 August 2025 / Accepted: 29 August 2025 / Published: 2 September 2025
(This article belongs to the Special Issue Machine Learning and Data Mining for Time Series and Model Adaptation)

Abstract

Modern artificial intelligence methods are increasingly applied in hydrology, particularly for forecasting water inflow into reservoirs. However, their limited interpretability constrains practical deployment in critical water resource management systems. Explainable AI offers solutions aimed at increasing the transparency of models, which makes the topic relevant in the context of developing sustainable and trusted AI systems in hydrology. Articles published in leading scientific journals in recent years were selected for the review. The selection criteria were the application of XAI methods in hydrological forecasting problems and the presence of a quantitative assessment of interpretability. The main attention is paid to approaches combining LSTM, GRU, CNN, and ensembles with XAI methods such as SHAP, LIME, Grad-CAM, and ICE. The results of the review show that XAI mechanisms increase confidence in AI forecasts, identify important meteorological features, and allow analyzing parameter interactions. However, there is a lack of standardization of interpretation, especially in problems with high-dimensional input data. The review emphasizes the need to develop robust, unified XAI approaches that can be integrated into next-generation hydrological models.
Keywords: XAI; runoff; inflow; streamflow; forecasting; AI forecasting models; SHAP; LIME; Grad-CAM; ICE; attention mechanisms XAI; runoff; inflow; streamflow; forecasting; AI forecasting models; SHAP; LIME; Grad-CAM; ICE; attention mechanisms

Share and Cite

MDPI and ACS Style

Bramm, A.M.; Matrenin, P.V.; Khalyasmaa, A.I. A Review of XAI Methods Applications in Forecasting Runoff and Water Level Hydrological Tasks. Mathematics 2025, 13, 2830. https://doi.org/10.3390/math13172830

AMA Style

Bramm AM, Matrenin PV, Khalyasmaa AI. A Review of XAI Methods Applications in Forecasting Runoff and Water Level Hydrological Tasks. Mathematics. 2025; 13(17):2830. https://doi.org/10.3390/math13172830

Chicago/Turabian Style

Bramm, Andrei M., Pavel V. Matrenin, and Alexandra I. Khalyasmaa. 2025. "A Review of XAI Methods Applications in Forecasting Runoff and Water Level Hydrological Tasks" Mathematics 13, no. 17: 2830. https://doi.org/10.3390/math13172830

APA Style

Bramm, A. M., Matrenin, P. V., & Khalyasmaa, A. I. (2025). A Review of XAI Methods Applications in Forecasting Runoff and Water Level Hydrological Tasks. Mathematics, 13(17), 2830. https://doi.org/10.3390/math13172830

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