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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…

Applications · Statistics 2021-12-09 Hristos Tyralis , Georgia Papacharalampous

Predictive hydrological uncertainty can be quantified by using ensemble methods. If properly formulated, these methods can offer improved predictive performance by combining multiple predictions. In this work, we use 50-year-long monthly…

Hydrological post-processing using quantile regression algorithms constitutes a prime means of estimating the uncertainty of hydrological predictions. Nonetheless, conventional large-sample theory for quantile regression does not apply…

Methodology · Statistics 2023-01-12 Hristos Tyralis , Georgia Papacharalampous

We introduce an ensemble learning post-processing methodology for probabilistic hydrological modelling. This methodology generates numerous point predictions by applying a single hydrological model, yet with different parameter values drawn…

Methodology · Statistics 2020-01-07 Georgia Papacharalampous , Demetris Koutsoyiannis , Alberto Montanari

Dam breach models are commonly used to predict outflow hydrographs of potentially failing dams and are key ingredients for evaluating flood risk. In this paper a new dam breach modeling framework is introduced that shall improve the…

Computation · Statistics 2018-06-14 S. J. Peter , A. Siviglia , J. Nagel , S. Marelli , R. M. Boes , D. Vetsch , B. Sudret

The astounding success of these methods has made it imperative to obtain more explainable and trustworthy estimates from these models. In hydrology, basin characteristics can be noisy or missing, impacting streamflow prediction. For solving…

The application of process-based and data-driven hydrological models is crucial in modern hydrological research, especially for predicting key water cycle variables such as runoff, evapotranspiration (ET), and soil moisture. These models…

Geophysics · Physics 2024-08-14 Haiyang Shi

In the literature, quite a few measures have been proposed for quantifying the deviation of a probability distribution from symmetry. The most popular of these skewness measures are based on the third centralized moment and on quantiles.…

Statistics Theory · Mathematics 2019-08-23 Andreas Eberl , Bernhard Klar

Estimating the expectation of a real-valued function of a random variable from sample data is a critical aspect of statistical analysis, with far-reaching implications in various applications. Current methodologies typically assume…

Machine Learning · Computer Science 2026-02-18 Paweł Lorek , Rafał Nowak , Rafał Topolnicki , Tomasz Trzciński , Maciej Zięba , Aleksandra Krystecka

In hydrology, modeling streamflow remains a challenging task due to the limited availability of basin characteristics information such as soil geology and geomorphology. These characteristics may be noisy due to measurement errors or may be…

Quantiles and expectiles are determined by different loss functions: asymmetric least absolute deviation for quantiles and asymmetric squared loss for expectiles. This distinction ensures that quantile regression methods are robust to…

Methodology · Statistics 2025-10-08 Abdellah Atanane , Abdallah Mkhadri , Karim Oualkacha

Regression classes modeling more than the mean of the response have found a lot of attention in the last years. Expectile regression is a special and computationally convenient case of this family of models. Expectiles offer a quantile-like…

Methodology · Statistics 2013-12-19 Elisabeth Waldmann , Fabian Sobotka , Thomas Kneib

Deep Learning is becoming an increasingly important way to produce accurate hydrological predictions across a wide range of spatial and temporal scales. Uncertainty estimations are critical for actionable hydrological forecasting, and while…

Fluvial floods drive severe risk to riverine communities. There is a strong evidence of increasing flood hazards in many regions around the world. The choice of methods and assumptions used in flood hazard estimates can impact the design of…

As in many fields of dynamic modeling, the long runtime of hydrological models hinders Bayesian inference of model parameters from data. By replacing a model with an approximation of its output as a function of input and/or parameters,…

Methodology · Statistics 2019-10-09 David Machac , Peter Reichert , Jörg Rieckermann , Dario Del Giudice , Carlo Albert

Conceptual rainfall-runoff models aid hydrologists and climate scientists in modelling streamflow to inform water management practices. Recent advances in deep learning have unravelled the potential for combining hydrological models with…

Machine Learning · Computer Science 2025-10-08 Arpit Kapoor , Rohitash Chandra

Streaming data often exhibit heterogeneity due to heteroscedastic variances or inhomogeneous covariate effects. Online renewable quantile and expectile regression methods provide valuable tools for detecting such heteroscedasticity by…

Methodology · Statistics 2026-02-27 Wei Cao , Shanshan Wanga , Xiaoxue Hua

The challenges in operational flood forecasting lie in producing reliable forecasts given constrained computational resources and within processing times that are compatible with near-real-time forecasting. Flood hydrodynamic models exploit…

Image and Video Processing · Electrical Eng. & Systems 2023-10-25 Thanh Huy Nguyen , Sophie Ricci , Andrea Piacentini , Quentin Bonassies , Raquel Rodriguez Suquet , Santiago Peña Luque , Kevin Marlis , Cédric David

Understanding the processes that influence groundwater levels is crucial for forecasting and responding to hazards such as groundwater droughts. Mixed models, which combine a fixed mean, expressed using independent predictors, with…

Methodology · Statistics 2025-12-25 Jakub J. Pypkowski , Adam M. Sykulski , James S. Martin , Ben P. Marchant

Flood quantile estimation is of great importance for many engineering studies and policy decisions. However, practitioners must often deal with small data available. Thus, the information must be used optimally. In the last decades, to…

Applications · Statistics 2009-11-13 Mathieu Ribatet , Taha B. M. J. Ouarda , Eric Sauquet , Jean-Michel Grésillon
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