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May 6, 2026Soil Science Society of America Journal0 citations

Integrating empirical and AI approaches for sediment load prediction: Comparative insights and model development

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CTChrakhan Ibrahim TaherMGMasoud GhodsianCCChonoor Abdi Chooplou

Key Points

  • To evaluate sediment load prediction methods across US rivers using empirical and AI approaches.
  • Evaluation of 12 classical empirical equations and 10 AI/ML models across 64 rivers.
  • Development of new empirical formulations for sediment load predictions.
  • Analysis of predictive accuracy using performance indicators like R2 and RRMSE.
  • Brooks equation achieved highest accuracy for suspended load prediction.
  • New suspended-load equation showed R2 = 0.946 and RRMSE = 3.37%.
  • New empirical equations improved predictive reliability across diverse river systems.

Abstract

Abstract This study presents a comprehensive evaluation of sediment load prediction across 64 US rivers using 12 classical empirical equations, 10 widely applied artificial intelligence and machine learning (AI/ML) models, and two newly developed empirical formulations. Among traditional methods, the Brooks (1963) equation showed the highest accuracy for suspended load prediction, while the Kalinske (1942) and Du Boys (1879) equations produced the most reliable bed‐load estimates. The newly proposed suspended‐load equation achieved R 2 = 0.946 and relative root mean square error RRMSE = 3.37%, yielding substantial improvements over benchmark empirical models. For bed load, the new equation reduced RRMSE by 33.2% and significantly increased R and R 2 , outperforming widely used methods such as Einstein–Brown and Cheng. Overall, the proposed formulations markedly enhanced key performance indicators—including R , R 2 , relative error, Nash–Sutcliffe efficiency, and mean bias error—demonstrating improved predictive reliability across diverse river systems. Although several AI/ML approaches, particularly the hybrid wavelet– artificial neural network, achieved high predictive accuracy ( R 2 up to 0.95) as benchmark models, the new empirical equations offer clearer interpretability, simpler implementation, and strong engineering applicability. By integrating classical hydraulic theory, established AI/ML techniques, and newly formulated empirical models into a unified comparative framework, this study emphasizes that its primary contribution lies in advancing empirical sediment‐transport prediction rather than introducing new AI/ML algorithms. The results provide practitioners and researchers with robust, interpretable, and practically applicable tools for a broad range of sediment‐transport and river‐management applications.

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Cite This Study

Taher et al. (2026) studied this question.

synapsesocial.com/papers/69fa8eca04f884e66b5311cchttps://doi.org/10.1002/saj2.70240
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