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May 26, 2026Water0 citationsOpen Access

Modeling Stage–Discharge Rating Curves in Andean Basins: Contrasting Uncertainty and Spatial Validation Between Artificial Neural Networks and Empirical Methods

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FOFernando Oñate-ValdiviesoLALeonardo AngamarcaMSMichael Salazar

Key Points

  • The study aims to compare Artificial Neural Networks and traditional empirical methods for modeling stage-discharge rating curves in Andean basins.
  • Applied a nested basin scheme in Loja, Ecuador
  • Contrasted traditional exponential fits with a Multilayer Perceptron using the Levenberg–Marquardt algorithm
  • Evaluated uncertainty bands and conducted sub-hourly spatial validation based on mass conservation.
  • AI models demonstrated superior statistical accuracy (NSE > 0.95) and adaptability to bed non-linearity
  • Cross-validation indicated high susceptibility to algorithmic overfitting
  • Traditional methods remained more robust for extreme flood extrapolation despite AI reducing computational complexity.

Abstract

Continuous streamflow monitoring is fundamental for water management in high-mountain Andean basins. Traditionally, this process relies on empirical regressions, although artificial intelligence (AI) has recently emerged as a robust alternative. However, extreme geomorphological dynamics compromise classical hydraulic methods, while AI models frequently lack physical validation. In this context, this study compares the performance of Artificial Neural Networks against traditional methods to reduce uncertainty in stage–discharge rating curves. The methodology, applied to a nested basin scheme in Loja, Ecuador, contrasted traditional exponential fits with a Multilayer Perceptron optimized using the Levenberg–Marquardt algorithm. The analysis included the evaluation of uncertainty bands and a sub-hourly spatial validation based on the principle of mass conservation. Results evidence that AI refines statistical accuracy (NSE > 0.95) and effectively adapts to bed non-linearity; nevertheless, cross-validation revealed a high susceptibility to algorithmic overfitting. It is concluded that while AI offers superior analytical flexibility for interpolating non-linear dynamics, traditional methods remain more robust for extreme flood extrapolation. Furthermore, while AI reduces computational complexity, it entails a higher “data cost” requiring denser field gauging campaigns. Operational viability requires rigorous dynamic uncertainty controls and spatial water balance validation.

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Cite This Study

Oñate-Valdivieso et al. (2026) studied this question.

synapsesocial.com/papers/6a153bdfb5d9c58d83e8d4f8https://doi.org/10.3390/w18111265
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