Rating Curve Modeling Using Machine Learning: A Case Study in the Largest Gauging Stations in the Amazon River.

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Bibliographic Details
Title: Rating Curve Modeling Using Machine Learning: A Case Study in the Largest Gauging Stations in the Amazon River.
Authors: Paca, Victor Hugo da Motta1 (AUTHOR) victorpaca@yahoo.com, Espinoza Dávalos, Gonzalo E.2,3 (AUTHOR), de Souza, Everaldo Barreiros3,4 (AUTHOR), Queiroz, Joaquim Carlos Barbosa4 (AUTHOR)
Source: Remote Sensing. May2026, Vol. 18 Issue 9, p1337. 21p.
Subjects: Machine learning, Boosting algorithms, Streamflow, Stream measurements, Water levels, Hydrology, Remote sensing
Geographic Terms: Brazil, Amazon River Watershed, Amazon River
Abstract: Highlights: What are the main findings? The use of machine learning methods can also obtain better rating curves, in addition to other applications. The use of spatial altimetry in large rivers, such as the Amazon River, to obtain water levels between the largest liquid discharge measurement stations in the world. Inland water measurements by satellite products can be used to obtain water levels. What are the implications of the main findings? The XGBoost method was the best procedure among other machine learning techniques, which was used for the purpose of the research. However, it is necessary to have professionals with the potential to use this application, instead of the traditional one. The use of spatial altimetry for water levels in rivers, where there are no level measurements at the gauging station locations. Accurate estimation of river discharge is fundamental for water resources management, flood forecasting, and drought monitoring in the Amazon River Basin. Rating curves, which relate water level (stage) to discharge, are the primary tool for streamflow estimation. This study evaluates traditional curve-fitting methods and machine learning algorithms for modeling rating curves at the two largest gauging stations in the Amazon River: Itacoatiara and Óbidos. The analysis is based on 70 stage–discharge measurements at Itacoatiara (2008–2023) and 176 measurements at Óbidos (1968–2023). Five modeling approaches were compared: Power Law, Linear Regression, Decision Tree, Random Forest, XGBoost, and Multi-Layer Perceptron (MLP). Model performance was assessed against official baseline rating curves maintained by Brazil's National Water Agency (ANA) and the Geological Survey of Brazil (SGB/CPRM) using Root Mean Square Error (RMSE), coefficient of determination (r2), Mean Bias Error (MBE), Nash–Sutcliffe Efficiency (NSE) and Kling–Gupta Efficiency (KGE). Results indicate that ensemble-based machine learning methods, particularly XGBoost (RMSE = 7463 m3/s, NSE = 0.973 at Itacoatiara; RMSE = 18,378 m3/s, NSE = 0.872 at Óbidos), outperformed traditional methods. However, the Decision Tree exhibited overfitting that could not be resolved through pruning, depth limitation, or other strategies given the sample size. Traditional methods such as the optimized Power Law remain practical and transparent alternatives for operational use. The findings suggest that machine learning can complement traditional approaches for improving rating curve accuracy in large tropical rivers, with K-fold cross-validation used to assess variability and performance. [ABSTRACT FROM AUTHOR]
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Database: Engineering Source
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