Multi-site learning for hydrological uncertainty prediction: the case of quantile random forests
Open Access
- 12 June 2026
- journal article
- research article
- Published by Copernicus GmbH in Hydrology and Earth System Sciences
- Vol. 30 (11) , 3549-3574
Abstract
To improve hydrological uncertainty estimation, recent studies have explored machine learning (ML)-based post-processing approaches that enable both enhanced predictive performance and hydrologically informed probabilistic streamflow predictions. Among these, random forests (RF) and their probabilistic extension, quantile random forests (QRF), are increasingly used for their balance between interpretability and performance. However, the application of QRF in regional post-processing settings remains unexplored. In this study, we develop a hydrologically informed QRF post-processor trained in a multi-site setting and compare its performance against a locally (at-site) trained QRF using probabilistic evaluation metrics. The QRF framework leverages simulations and state variables from the GR6J process-based hydrological model, along with readily available catchment descriptors, to predict daily streamflow uncertainty. Our results show that the regional QRF approach is beneficial for hydrological uncertainty estimation, particularly in catchments where local information is insufficient. The findings highlight that multi-site learning enables effective information transfer across hydrologically similar catchments and is especially advantageous for high-flow events. However, the selection of appropriate catchment descriptors is critical to achieving these benefits.Keywords
All Related Versions
Funding Information
- Agence Nationale de la Recherche (ANR-20-CE04-0009)
This publication has 69 references indexed in Scilit:
- A review of predictive uncertainty estimation with machine learningArtificial Intelligence Review, 2024
- Machine Learning Weather Analogs for Near-Surface VariablesBoundary-Layer Meteorology, 2023
- Random forests-based error-correction of streamflow from a large-scale hydrological model: Using model state variables to estimate error termsComputers & Geosciences, 2022
- Process‐based interpretation of conceptual hydrological model performance using a multinational catchment setWater Resources Research, 2017
- Potential applications of subseasonal‐to‐seasonal (S2S) predictionsMeteorological Applications, 2017
- Comparison of joint versus postprocessor approaches for hydrological uncertainty estimation accounting for error autocorrelation and heteroscedasticityWater Resources Research, 2014
- How Many Trees in a Random Forest?2012
- A 50‐year high‐resolution atmospheric reanalysis over France with the Safran systemInternational Journal of Climatology, 2009
- The Elements of Statistical Learning2001
- River flow forecasting through conceptual models part I — A discussion of principlesJournal of Hydrology, 1970