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In the first part of our study, we demonstrated how a simple physical benchmark model can be used to assess assumptions of the conceptual models, based on a lumped Probability Distributed Model (PDM) formulated by Lamb (1999). In this…

Fluid Dynamics · Physics 2023-12-05 Piotr Morawiecki , Philippe H. Trinh

This study presents a novel generative modeling approach to rainfall-runoff modeling, focusing on the synthesis of realistic daily catchment runoff time series in response to catchment-averaged climate forcing. Unlike traditional…

Geophysics · Physics 2024-09-11 Yang Yang , Ting Fong May Chui

This study investigates the relationships which deep learning methods can identify between the input and output data. As a case study, rainfall-runoff modeling in a snow-dominated watershed by means of a long- and short-term memory (LSTM)…

Atmospheric and Oceanic Physics · Physics 2021-11-11 Kazuki Yokoo , Kei Ishida , Ali Ercan , Tongbi Tu , Takeyoshi Nagasato , Masato Kiyama , Motoki Amagasaki

Due largely to challenges associated with physical interpretability of machine learning (ML) methods, and because model interpretability is key to credibility in management applications, many scientists and practitioners are hesitant to…

Machine Learning · Computer Science 2025-11-11 Yuan-Heng Wang , Hoshin V. Gupta

Laboratory experiments and theoretical modelling are conducted to determine the raindrop size distribution (DSD) resulting from distinct fragmentation processes under various upward airstreams. Since weather radar echoes are proportional to…

Statistical modeling of monthly, seasonal, or annual rainfall data is an important research area in meteorology. These models play a crucial role in rainfed agriculture, where a proper assessment of the future availability of rainwater is…

Applications · Statistics 2024-03-05 Arnab Hazra , Abhik Ghosh

The classical way of studying the rainfall-runoff processes in the water cycle relies on conceptual or physically-based hydrologic models. Deep learning (DL) has recently emerged as an alternative and blossomed in hydrology community for…

Machine Learning · Computer Science 2025-01-28 Yihan Wang , Lujun Zhang , Annan Yu , N. Benjamin Erichson , Tiantian Yang

The objective of this three-part work is to formulate and rigorously analyse a number of reduced mathematical models that are nevertheless capable of describing the hydrology at the scale of a river basin (i.e. catchment). Coupled surface…

Fluid Dynamics · Physics 2023-12-29 Piotr Morawiecki , Philippe H. Trinh

The paper presents improved mathematical models and methods for statistical regularities in the behavior of some important characteristics of precipitation: duration of a wet period, maximum daily and total precipitation volumes within a…

Statistics Theory · Mathematics 2019-02-01 Victor Korolev , Andrey Gorshenin

For over a century, raindrop size distributions have been a subject of extensive scientific study, typically described by models including the Marshall-Palmer exponential equation, gamma, Weibull, lognormal, and other mathematical…

Fluid Dynamics · Physics 2023-09-06 Maksim Mezhericher , Howard A. Stone

Machine learning is playing an increasing role in hydrology, supplementing or replacing physics-based models. One notable example is the use of recurrent neural networks (RNNs) for forecasting streamflow given observed precipitation and…

Computational Physics · Physics 2024-12-09 Mauricio Lima , Katherine Deck , Oliver R. A. Dunbar , Tapio Schneider

Extreme streamflow is a key indicator of flood risk, and quantifying the changes in its distribution under non-stationary climate conditions is key to mitigating the impact of flooding events. We propose a non-stationary process mixture…

Methodology · Statistics 2024-05-08 Reetam Majumder , Brian Reich

Deep neural networks have made great achievements in rainfall prediction.However, the current forecasting methods have certain limitations, such as with blurry generated images and incorrect spatial positions. To overcome these challenges,…

Computer Vision and Pattern Recognition · Computer Science 2024-02-21 XuDong Ling , ChaoRong Li , FengQing Qin , LiHong Zhu , Yuanyuan Huang

Diffusion models have been widely adopted in image generation, producing higher-quality and more diverse samples than generative adversarial networks (GANs). We introduce a latent diffusion model (LDM) for precipitation nowcasting -…

Atmospheric and Oceanic Physics · Physics 2023-04-26 Jussi Leinonen , Ulrich Hamann , Daniele Nerini , Urs Germann , Gabriele Franch

Accurate and efficient models for rainfall runoff (RR) simulations are crucial for flood risk management. Most rainfall models in use today are process-driven; i.e. they solve either simplified empirical formulas or some variation of the…

Signal Processing · Electrical Eng. & Systems 2020-06-15 Wei Li , Amin Kiaghadi , Clint N. Dawson

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…

The objective of this three-part work is to formulate and rigorously analyse a number of reduced mathematical models that are nevertheless capable of describing the hydrology at the scale of a river basin (i.e. catchment). Coupled surface…

Fluid Dynamics · Physics 2023-12-29 Piotr Morawiecki , Philippe H. Trinh

Vision-Language Models (VLMs) are trained on image-text pairs collected under canonical visual conditions and achieve strong performance on multimodal tasks. However, their robustness to real-world weather conditions, and the stability of…

Computer Vision and Pattern Recognition · Computer Science 2026-01-21 Chengyin Hu , Xiang Chen , Zhe Jia , Weiwen Shi , Fengyu Zhang , Jiujiang Guo , Yiwei Wei

The estimation of extreme flood quantiles is challenging due to the relative scarcity of extreme data compared to typical target return periods. Several approaches have been developed over the years to face this challenge, including…

Applications · Statistics 2016-02-17 Anne Sabourin , Benjamin Renard

In order to reach the supply/demand balance, electricity providers need to predict the demand and production of electricity at different time scales. This implies the need of modeling weather variables such as temperature, wind speed, solar…

Applications · Statistics 2017-10-24 Augustin Touron
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