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We present a new approach to modeling the future development of extreme temperatures globally and on a long time-scale by using non-stationary generalized extreme value distributions in combination with logistic functions. This approach is…

Atmospheric and Oceanic Physics · Physics 2022-07-28 Justus Contzen , Thorsten Dickhaus , Gerrit Lohmann

A stochastic model, the product of a circulant matrix and a random normal vector, is shown to produce an evolutive long memory time series with a power law spectral density. The distribution of the time series, a beta location scale family…

General Mathematics · Mathematics 2026-02-26 Robert Kimberk

In forecasting problems it is important to know whether or not recent events represent a regime change (low long-term predictive potential), or rather a local manifestation of longer term effects (potentially higher predictive potential).…

Methodology · Statistics 2014-07-09 Timothy Graves , Robert B. Gramacy , Christian Franzke , Nicholas Watkins

A machine learning algorithm is developed to forecast the CO2 emission intensities in electrical power grids in the Danish bidding zone DK2, distinguishing between average and marginal emissions. The analysis was done on data set comprised…

Signal Processing · Electrical Eng. & Systems 2020-03-13 Kenneth Leerbeck , Peder Bacher , Rune Junker , Goran Goranović , Olivier Corradi , Razgar Ebrahimy , Anna Tveit , Henrik Madsen

Machine learning weather models trained on observed atmospheric conditions can outperform conventional physics-based models at short- to medium-range (1-14 day) forecast timescales. Here we take the machine learning weather model ACE2,…

Atmospheric and Oceanic Physics · Physics 2025-04-01 Chris Kent , Adam A. Scaife , Nick J. Dunstone , Doug Smith , Steven C. Hardiman , Tom Dunstan , Oliver Watt-Meyer

The physics of planetary climate features a variety of complex systems that are challenging to model as they feature turbulent flows. A key example is the heat flux from the upper ocean to the underside of sea ice which provides a key…

Atmospheric and Oceanic Physics · Physics 2025-01-16 Srikanth Toppaladoddi , Andrew J. Wells

The provision of accurate methods for predicting the climate response to anthropogenic and natural forcings is a key contemporary scientific challenge. Using a simplified and efficient open-source general circulation model of the atmosphere…

Atmospheric and Oceanic Physics · Physics 2016-05-25 Valerio Lucarini , Frank Lunkeit , Francesco Ragone

Accurate climate forecasting is vital for Bangladesh, a region highly susceptible to climate change impacts on temperature and rainfall. Existing models often struggle to capture long-range dependencies and complex temporal patterns in…

Machine Learning · Computer Science 2025-10-29 Usman Gani Joy , Shahadat kabir , Tasnim Niger

Machine Learning has become a pervasive tool in climate science applications. However, current models fail to address nonstationarity induced by anthropogenic alterations in greenhouse emissions and do not routinely quantify the uncertainty…

Machine Learning · Computer Science 2024-02-22 Simon Dräger , Maike Sonnewald

We introduce a data-driven forecasting method for high-dimensional chaotic systems using long short-term memory (LSTM) recurrent neural networks. The proposed LSTM neural networks perform inference of high-dimensional dynamical systems in…

Computational Physics · Physics 2019-09-20 Pantelis R. Vlachas , Wonmin Byeon , Zhong Y. Wan , Themistoklis P. Sapsis , Petros Koumoutsakos

Acknowledging a considerable literature on modeling daily temperature data, we propose a multi-level spatio-temporal model which introduces several innovations in order to explain the daily maximum temperature in the summer period over 60…

Long memory and volatility clustering are two stylized facts frequently related to financial markets. Traditionally, these phenomena have been studied based on conditionally heteroscedastic models like ARCH, GARCH, IGARCH and FIGARCH, inter…

Statistical Finance · Quantitative Finance 2009-11-13 Sonia R. Bentes , Rui Menezes , Diana A. Mendes

One of the goals of climate science is to characterize the statistics of extreme and potentially dangerous events in the present and future climate. Extreme events like heat waves, droughts, or floods due to persisting rains are…

Atmospheric and Oceanic Physics · Physics 2020-01-08 Francesco Ragone , Freddy Bouchet

Accurately forecasting long-term atmospheric variables remains a defining challenge in meteorological science due to the chaotic nature of atmospheric systems. Temperature data represents a complex superposition of deterministic cyclical…

Machine Learning · Computer Science 2026-01-14 Shreyas Rajeev , Karthik Mudenahalli Ashoka , Amit Mallappa Tiparaddi

This study investigates the variability of the Central England Temperature (CET) series in relation to the North Atlantic Oscillation (NAO) and the Pacific Decadal Oscillation (PDO) using advanced time series modeling techniques. Leveraging…

Methodology · Statistics 2024-12-20 Jiahe Ling

Atmospheric circulation is often clustered in so-called circulation regimes, which are persistent and recurrent patterns. For the Euro-Atlantic sector in winter, most studies identify four regimes: the Atlantic Ridge, the Scandinavian…

Atmospheric and Oceanic Physics · Physics 2020-10-28 Swinda K. J. Falkena , Jana de Wiljes , Antje Weisheimer , Theodore G. Shepherd

We study the long-term memory in diverse stock market indices and foreign exchange rates using the Detrended Fluctuation Analysis(DFA). For all daily and high-frequency market data studied, no significant long-term memory property is…

Physics and Society · Physics 2008-12-02 GabJin Oh , Cheol-Jun Um , Seunghwann Kim

Collecting time series data spatially distributed in many locations is often important for analyzing climate change and its impacts on ecosystems. However, comprehensive spatial data collection is not always feasible, requiring us to…

Machine Learning · Computer Science 2024-06-06 Shihori Koyama , Daisuke Inoue , Hiroaki Yoshida , Kazuyuki Aihara , Gouhei Tanaka

We present a new statistical method to optimally link local weather extremes to large-scale atmospheric circulation structures. The method is illustrated using July-August daily mean temperature at 2m height (T2m) time-series over the…

Atmospheric and Oceanic Physics · Physics 2020-11-04 Debabrata Panja , Frank M. Selten

Understanding and forecasting precipitation events in the Arctic maritime environments, such as Bear Island and Ny-{\AA}lesund, is crucial for assessing climate risk and developing early warning systems in vulnerable marine regions. This…