Quantile-Based Hydrological Modelling

Predictive uncertainty in hydrological modelling is quantified by using post-processing or Bayesian-based methods. The former methods are not straightforward and the latter ones are not distribution-free (i.e., assumptions on the probability distribution of the hydrological model’s output are necess...

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Main Authors: Hristos Tyralis, Georgia Papacharalampous
Format: Article
Language:English
Published: MDPI AG 2021-12-01
Series:Water
Subjects:
Online Access:https://www.mdpi.com/2073-4441/13/23/3420
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author Hristos Tyralis
Georgia Papacharalampous
author_facet Hristos Tyralis
Georgia Papacharalampous
author_sort Hristos Tyralis
collection DOAJ
description Predictive uncertainty in hydrological modelling is quantified by using post-processing or Bayesian-based methods. The former methods are not straightforward and the latter ones are not distribution-free (i.e., assumptions on the probability distribution of the hydrological model’s output are necessary). To alleviate possible limitations related to these specific attributes, in this work we propose the calibration of the hydrological model by using the quantile loss function. By following this methodological approach, one can directly simulate pre-specified quantiles of the predictive distribution of streamflow. As a proof of concept, we apply our method in the frameworks of three hydrological models to 511 river basins in the contiguous US. We illustrate the predictive quantiles and show how an honest assessment of the predictive performance of the hydrological models can be made by using proper scoring rules. We believe that our method can help towards advancing the field of hydrological uncertainty.
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spelling doaj.art-feacc0d3c17741a0bdbf38f195cab12d2023-11-23T03:15:19ZengMDPI AGWater2073-44412021-12-011323342010.3390/w13233420Quantile-Based Hydrological ModellingHristos Tyralis0Georgia Papacharalampous1Department of Water Resources and Environmental Engineering, School of Civil Engineering, National Technical University of Athens, Iroon Polytechniou 5, 157 80 Zografou, GreeceDepartment of Engineering, Roma Tre University, Via V. Volterra 62, 00146 Rome, ItalyPredictive uncertainty in hydrological modelling is quantified by using post-processing or Bayesian-based methods. The former methods are not straightforward and the latter ones are not distribution-free (i.e., assumptions on the probability distribution of the hydrological model’s output are necessary). To alleviate possible limitations related to these specific attributes, in this work we propose the calibration of the hydrological model by using the quantile loss function. By following this methodological approach, one can directly simulate pre-specified quantiles of the predictive distribution of streamflow. As a proof of concept, we apply our method in the frameworks of three hydrological models to 511 river basins in the contiguous US. We illustrate the predictive quantiles and show how an honest assessment of the predictive performance of the hydrological models can be made by using proper scoring rules. We believe that our method can help towards advancing the field of hydrological uncertainty.https://www.mdpi.com/2073-4441/13/23/3420big datacatchment modelshydrological modelshydrological uncertaintylarge-sample hydrologypoint predictions
spellingShingle Hristos Tyralis
Georgia Papacharalampous
Quantile-Based Hydrological Modelling
Water
big data
catchment models
hydrological models
hydrological uncertainty
large-sample hydrology
point predictions
title Quantile-Based Hydrological Modelling
title_full Quantile-Based Hydrological Modelling
title_fullStr Quantile-Based Hydrological Modelling
title_full_unstemmed Quantile-Based Hydrological Modelling
title_short Quantile-Based Hydrological Modelling
title_sort quantile based hydrological modelling
topic big data
catchment models
hydrological models
hydrological uncertainty
large-sample hydrology
point predictions
url https://www.mdpi.com/2073-4441/13/23/3420
work_keys_str_mv AT hristostyralis quantilebasedhydrologicalmodelling
AT georgiapapacharalampous quantilebasedhydrologicalmodelling