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Statistical analyses and descriptive characterizations are sometimes assumed to be offering information on time series forecastability. Despite the scientific interest suggested by such assumptions, the relationships between descriptive…

Atmospheric and Oceanic Physics · Physics 2022-02-22 Georgia Papacharalampous , Hristos Tyralis , Ilias G. Pechlivanidis , Salvatore Grimaldi , Elena Volpi

Hydroclimatic time series analysis focuses on a few feature types (e.g., autocorrelations, trends, extremes), which describe a small portion of the entire information content of the observations. Aiming to exploit a larger part of the…

A comprehensive understanding of the behaviours of the various geophysical processes and an effective evaluation of time series (else referred to as "stochastic") simulation models require, among others, detailed investigations across…

Applications · Statistics 2023-03-06 Georgia Papacharalampous , Hristos Tyralis , Yannis Markonis , Martin Hanel

Recent advances in time series research facilitate the development of foundation models. While many state-of-the-art time series foundation models have been introduced, few studies examine their effectiveness in specific downstream…

Machine Learning · Computer Science 2025-12-01 Junyang He , Judy Fox , Alireza Jafari , Ying-Jung Chen , Geoffrey Fox

Streamflow, as a natural phenomenon, is continuous in time and so are the meteorological variables which influence its variability. In practice, it can be of interest to forecast the whole flow curve instead of points (daily or hourly). To…

Applications · Statistics 2016-10-20 Pierre Masselot , Sophie Dabo-Niang , Fateh Chebana , Taha B. M. J. Ouarda

Detailed investigations of time series features across climates, continents and variable types can progress our understanding and modelling ability of the Earth's hydroclimate and its dynamics. They can also improve our comprehension of the…

Applications · Statistics 2024-08-23 Georgia Papacharalampous , Hristos Tyralis , Yannis Markonis , Petr Maca , Martin Hanel

Delivering useful hydrological forecasts is critical for urban and agricultural water management, hydropower generation, flood protection and management, drought mitigation and alleviation, and river basin planning and management, among…

Applications · Statistics 2020-08-19 Georgia Papacharalampous , Hristos Tyralis

There has been active investigation into deep learning approaches for time series analysis, including foundation models. However, most studies do not address significant scientific applications. This paper aims to identify key features in…

Machine Learning · Computer Science 2025-09-22 Junyang He , Ying-Jung Chen , Alireza Jafari , Anushka Idamekorala , Geoffrey Fox

In river flow analysis and forecasting there are some key elements to consider in order to obtain reliable results. For example, seasonality is often accounted for in statistical models because climatic oscillations occurring every year…

Applications · Statistics 2019-06-19 Domenico Cucina , Manuel Rizzo , Eugen Ursu

This paper discusses several modern approaches to regression analysis involving time series data where some of the predictor variables are also indexed by time. We discuss classical statistical approaches as well as methods that have been…

Methodology · Statistics 2020-11-02 Stephanie Clark , Rob J Hyndman , Dan Pagendam , Louise M Ryan

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

Streamflow is a dynamical process that integrates water movement in space and time within basin boundaries. The authors characterize the dynamics associated with streamflow time series data from about seventy-one U.S. Geological Survey…

Physics and Society · Physics 2021-04-14 Ganesh R. Ghimire , Navid Jadidoleslam , Witold F. Krajewski , Anastasios A. Tsonis

Streamflow forecasts are critical to guide water resource management, mitigate drought and flood effects, and develop climate-smart infrastructure and governance. Many global regions, however, have limited streamflow observations to guide…

Machine Learning · Computer Science 2023-04-18 Roland Oruche , Fearghal O'Donncha

In this research, a functional time series model was introduced to predict future realizations of river flow time series. The proposed model was constructed based on a functional time series's correlated lags and the essential exogenous…

Applications · Statistics 2021-04-27 Ufuk Beyaztas , Han Lin Shang , Zaher Mundher Yaseen

Prediction of dynamic environmental variables in unmonitored sites remains a long-standing challenge for water resources science. The majority of the world's freshwater resources have inadequate monitoring of critical environmental…

Machine Learning · Computer Science 2025-01-29 Jared D. Willard , Charuleka Varadharajan , Xiaowei Jia , Vipin Kumar

Regionalization aims to partition a spatial domain into contiguous regions that share similar characteristics, enabling more effective spatial analysis, policy making, and resource management. Existing approaches for spatial regionalization…

Machine Learning · Statistics 2026-05-07 Jiayu Weng , Alec Kirkley

This paper presents an automated machine learning framework designed to assist hydrologists in detecting anomalies in time series data generated by sensors in a research watershed in the northeastern United States critical zone. The…

Machine Learning · Computer Science 2023-12-07 Ijaz Ul Haq , Byung Suk Lee , Donna M. Rizzo , Julia N Perdrial

Risk assessment in casualty insurance, such as flood risk, traditionally relies on extreme-value methods that emphasizes rare events. These approaches are well-suited for characterizing tail risk, but do not capture the broader dynamics of…

Applications · Statistics 2025-10-22 Samuel Perreault , Silvana M. Pesenti , Daniyal Shahzad

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

Time series prediction underpins a broad range of downstream tasks across many scientific domains. Recent advances and increasing adoption of black-box machine learning models for time series prediction highlight the critical need for…

Machine Learning · Computer Science 2026-03-23 Junghwan Lee , Chen Xu , Yao Xie
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