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Interpretable Daily Inflow Forecasting Model via Cross-Attention Hybrid Neural Networks Integrated with SHAP Analysis
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DOI：10.1007/s11269-026-04859-x.png)
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Abstract
En 中文
Accurate daily inflow forecasting is essential for extreme climate adaptation, flood control, and hydropower optimization. However, rapid climate change demands frequent model reconstruction and parameter recalibration, which undermines daily streamflow prediction accuracy, while the poor interpretability of deep learning models applied to this domain poses an additional challenge. To address these issues, a one-day-ahead inflow forecasting framework of cross-attention hybrid random forest and long short-term memory (CA-RF-LSTM) integrated with shapley additive explanations (SHAP) is proposed. First, a multifactor input model coupling observed and meteorological data with lag times is constructed to enhance model adaptability under changing hydroclimatic conditions and reduce the dependence on repeated model restructuring and parameter recalibration. Second, a cross-attention fusion mechanism is introduced to adaptively integrate nonlinear spatial relationships extracted by the RF and temporal dependencies learned by the LSTM, enabling dynamic interactions between heterogeneous feature representations and improving the predictive accuracy beyond conventional feature concatenation strategies. Finally, SHAP is employed to quantify feature contributions, optimize input combinations, and provide transparent interpretations of model behavior, thereby enhancing model explainability. The case study for one-day-ahead forecasting indicates that the proposed framework achieves overall superior predictive performance relative to the benchmark methods according to six evaluation metrics and the Wilcoxon signed-rank test result, confirming the effectiveness of the proposed cross-attention fusion strategy and SHAP-guided input optimization.
Keywords:
Daily inflow forecast
Shapley additive explanations
Cross-attention fusion mechanism
Random forest
Long short-term memory
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