Articles | Volume 27, issue 24
https://doi.org/10.5194/hess-27-4529-2023
© Author(s) 2023. This work is distributed under
the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
https://doi.org/10.5194/hess-27-4529-2023
© Author(s) 2023. This work is distributed under
the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
Comparing quantile regression forest and mixture density long short-term memory models for probabilistic post-processing of satellite precipitation-driven streamflow simulations
Yuhang Zhang
State Key Laboratory of Earth Surface Processes and Resource Ecology, Faculty of Geographical Science, Beijing Normal University, Beijing 100875, China
Department of Infrastructure Engineering, The University of Melbourne, Parkville 3010, Australia
State Key Laboratory of Earth Surface Processes and Resource Ecology, Faculty of Geographical Science, Beijing Normal University, Beijing 100875, China
Bita Analui
Center for Hydrometeorology and Remote Sensing, Department of Civil and Environmental Engineering, University of California, Irvine, Irvine, California, CA 92697, USA
Phu Nguyen
Center for Hydrometeorology and Remote Sensing, Department of Civil and Environmental Engineering, University of California, Irvine, Irvine, California, CA 92697, USA
Soroosh Sorooshian
Center for Hydrometeorology and Remote Sensing, Department of Civil and Environmental Engineering, University of California, Irvine, Irvine, California, CA 92697, USA
Kuolin Hsu
Center for Hydrometeorology and Remote Sensing, Department of Civil and Environmental Engineering, University of California, Irvine, Irvine, California, CA 92697, USA
Yuxuan Wang
College of Arts and Sciences, University of Virginia, Charlottesville, VA 22903, USA
Viewed
Total article views: 4,484 (including HTML, PDF, and XML)
Cumulative views and downloads
(calculated since 21 Nov 2022)
| HTML | XML | Total | Supplement | BibTeX | EndNote | |
|---|---|---|---|---|---|---|
| 3,116 | 1,238 | 130 | 4,484 | 193 | 119 | 151 |
- HTML: 3,116
- PDF: 1,238
- XML: 130
- Total: 4,484
- Supplement: 193
- BibTeX: 119
- EndNote: 151
Total article views: 2,687 (including HTML, PDF, and XML)
Cumulative views and downloads
(calculated since 20 Dec 2023)
| HTML | XML | Total | Supplement | BibTeX | EndNote | |
|---|---|---|---|---|---|---|
| 2,001 | 591 | 95 | 2,687 | 61 | 97 | 133 |
- HTML: 2,001
- PDF: 591
- XML: 95
- Total: 2,687
- Supplement: 61
- BibTeX: 97
- EndNote: 133
Total article views: 1,797 (including HTML, PDF, and XML)
Cumulative views and downloads
(calculated since 21 Nov 2022)
| HTML | XML | Total | Supplement | BibTeX | EndNote | |
|---|---|---|---|---|---|---|
| 1,115 | 647 | 35 | 1,797 | 132 | 22 | 18 |
- HTML: 1,115
- PDF: 647
- XML: 35
- Total: 1,797
- Supplement: 132
- BibTeX: 22
- EndNote: 18
Viewed (geographical distribution)
Total article views: 4,484 (including HTML, PDF, and XML)
Thereof 4,305 with geography defined
and 179 with unknown origin.
Total article views: 2,687 (including HTML, PDF, and XML)
Thereof 2,554 with geography defined
and 133 with unknown origin.
Total article views: 1,797 (including HTML, PDF, and XML)
Thereof 1,751 with geography defined
and 46 with unknown origin.
| Country | # | Views | % |
|---|
| Country | # | Views | % |
|---|
| Country | # | Views | % |
|---|
| Total: | 0 |
| HTML: | 0 |
| PDF: | 0 |
| XML: | 0 |
- 1
1
| Total: | 0 |
| HTML: | 0 |
| PDF: | 0 |
| XML: | 0 |
- 1
1
| Total: | 0 |
| HTML: | 0 |
| PDF: | 0 |
| XML: | 0 |
- 1
1
Cited
13 citations as recorded by crossref.
- Uncertainty Quantification of Estimated Ultimate Recovery Prediction in Shale Reservoirs Using Quantile Random Forest with Prediction Interval Calibration S. Ki et al. https://doi.org/10.32390/ksmer.2025.62.4.400
- Multi-site learning for hydrological uncertainty prediction: the case of quantile random forests T. El Ouahabi et al. https://doi.org/10.5194/hess-30-3549-2026
- Advancing Hydrology through Machine Learning: Insights, Challenges, and Future Directions Using the CAMELS, Caravan, GRDC, CHIRPS, PERSIANN, NLDAS, GLDAS, and GRACE Datasets F. Hasan et al. https://doi.org/10.3390/w16131904
- Enhancing probabilistic hydrological predictions with mixture density Networks: Accounting for heteroscedasticity and Non-Gaussianity D. Li et al. https://doi.org/10.1016/j.jhydrol.2024.131737
- Development of an integrated global sensitivity analysis strategy for evaluating process sensitivities across single- and multi-models J. Yang et al. https://doi.org/10.1016/j.jhydrol.2024.132014
- Use of regional sensitivity analysis for diagnosing parsimony of models: A water model case study R. Srikanthan et al. https://doi.org/10.1016/j.envsoft.2025.106727
- Improve streamflow simulations by combining machine learning pre-processing and post-processing Y. Zhang et al. https://doi.org/10.1016/j.jhydrol.2025.132904
- Improving PM2.5 simulations using LSTM: a study on spatiotemporal generalization X. Chen et al. https://doi.org/10.1016/j.apr.2025.102647
- Integrated Quantile Mapping and Spatial Clustering for Robust Bias Correction of Satellite Precipitation in Data-Sparse Regions G. Al-Rawas et al. https://doi.org/10.3390/su17188321
- Physics-guided networks for probabilistic hydrodynamic forecasting in canal systems W. Liu et al. https://doi.org/10.1016/j.ese.2026.100703
- Uncertainty Reduction in Streamflow Prediction Using Mixture Density Networks N. Kumar & T. Roy https://doi.org/10.1061/JHYEFF.HEENG-6781
- A hybrid method coupling physical process-driven model with generative deep learning for probabilistic flood forecasting X. Yang et al. https://doi.org/10.1016/j.jhydrol.2026.135319
- YangMPS: a new multiple-point statistics simulation method for non-stationary spatial processes J. Li et al. https://doi.org/10.1016/j.cageo.2026.106221
13 citations as recorded by crossref.
- Uncertainty Quantification of Estimated Ultimate Recovery Prediction in Shale Reservoirs Using Quantile Random Forest with Prediction Interval Calibration S. Ki et al. https://doi.org/10.32390/ksmer.2025.62.4.400
- Multi-site learning for hydrological uncertainty prediction: the case of quantile random forests T. El Ouahabi et al. https://doi.org/10.5194/hess-30-3549-2026
- Advancing Hydrology through Machine Learning: Insights, Challenges, and Future Directions Using the CAMELS, Caravan, GRDC, CHIRPS, PERSIANN, NLDAS, GLDAS, and GRACE Datasets F. Hasan et al. https://doi.org/10.3390/w16131904
- Enhancing probabilistic hydrological predictions with mixture density Networks: Accounting for heteroscedasticity and Non-Gaussianity D. Li et al. https://doi.org/10.1016/j.jhydrol.2024.131737
- Development of an integrated global sensitivity analysis strategy for evaluating process sensitivities across single- and multi-models J. Yang et al. https://doi.org/10.1016/j.jhydrol.2024.132014
- Use of regional sensitivity analysis for diagnosing parsimony of models: A water model case study R. Srikanthan et al. https://doi.org/10.1016/j.envsoft.2025.106727
- Improve streamflow simulations by combining machine learning pre-processing and post-processing Y. Zhang et al. https://doi.org/10.1016/j.jhydrol.2025.132904
- Improving PM2.5 simulations using LSTM: a study on spatiotemporal generalization X. Chen et al. https://doi.org/10.1016/j.apr.2025.102647
- Integrated Quantile Mapping and Spatial Clustering for Robust Bias Correction of Satellite Precipitation in Data-Sparse Regions G. Al-Rawas et al. https://doi.org/10.3390/su17188321
- Physics-guided networks for probabilistic hydrodynamic forecasting in canal systems W. Liu et al. https://doi.org/10.1016/j.ese.2026.100703
- Uncertainty Reduction in Streamflow Prediction Using Mixture Density Networks N. Kumar & T. Roy https://doi.org/10.1061/JHYEFF.HEENG-6781
- A hybrid method coupling physical process-driven model with generative deep learning for probabilistic flood forecasting X. Yang et al. https://doi.org/10.1016/j.jhydrol.2026.135319
- YangMPS: a new multiple-point statistics simulation method for non-stationary spatial processes J. Li et al. https://doi.org/10.1016/j.cageo.2026.106221
Saved (final revised paper)
Latest update: 25 Jun 2026
Short summary
Our study shows that while the quantile regression forest (QRF) and countable mixtures of asymmetric Laplacians long short-term memory (CMAL-LSTM) models demonstrate similar proficiency in multipoint probabilistic predictions, QRF excels in smaller watersheds and CMAL-LSTM in larger ones. CMAL-LSTM performs better in single-point deterministic predictions, whereas QRF model is more efficient overall.
Our study shows that while the quantile regression forest (QRF) and countable mixtures of...