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Identifying causal relationships from observational time series data is a key problem in disciplines such as climate science or neuroscience, where experiments are often not possible. Data-driven causal inference is challenging since…

Methodology · Statistics 2019-12-03 Jakob Runge , Peer Nowack , Marlene Kretschmer , Seth Flaxman , Dino Sejdinovic

We address the problem of predicting spatio-temporal processes with temporal patterns that vary across spatial regions, when data is obtained as a stream. That is, when the training dataset is augmented sequentially. Specifically, we…

Machine Learning · Statistics 2018-06-25 Muhammad Osama , Dave Zachariah , Thomas B. Schön

Precipitation is one of the most important meteorological variables for defining the climate dynamics, but the spatial patterns of precipitation have not been fully investigated yet. The complex network theory, which provides a robust tool…

Atmospheric and Oceanic Physics · Physics 2013-08-22 Stefania Scarsoglio , Francesco Laio , Luca Ridolfi

Recent years have seen a huge development in spatial modelling and prediction methodology, driven by the increased availability of remote-sensing data and the reduced cost of distributed-processing technology. It is well known that…

Computation · Statistics 2020-02-18 Andrew Zammit-Mangion , Jonathan Rougier

Many environmental processes exhibit weakening spatial dependence as events become more extreme. Well-known limiting models, such as max-stable or generalized Pareto processes, cannot capture this, which can lead to a preference for models…

Methodology · Statistics 2017-09-06 Raphaël G. Huser , Jennifer L. Wadsworth

El Ni\~{n}o is a typical example of a coupled atmosphere--ocean phenomenon, but it is unclear whether it can be described quantitatively by a correlation between relevant climate events. To provide clarity on this issue, we developed a…

Atmospheric and Oceanic Physics · Physics 2022-02-14 Nozomi Sugiura , Shinya Kouketsu

It is no secret that statistical modelling often involves making simplifying assumptions when attempting to study complex stochastic phenomena. Spatial modelling of extreme values is no exception, with one of the most common such…

Applications · Statistics 2025-05-05 Lydia Kakampakou , Emma S. Simpson , Jennifer L. Wadsworth

Models of global climate phenomena of low to intermediate complexity are very useful for providing an understanding at a conceptual level. An important aspect of such models is the presence of a number of feedback loops that feature…

Dynamical Systems · Mathematics 2015-02-02 Bernd Krauskopf , Jan Sieber

Considering the interdependencies between water and electricity use is critical for ensuring conservation measures are successful in lowering the net water and electricity use in a city. This water-electricity demand nexus will become even…

Machine Learning · Computer Science 2019-06-26 Renee Obringer , Rohini Kumar , Roshanak Nateghi

Subseasonal forecasting, which is pivotal for agriculture, water resource management, and early warning of disasters, faces challenges due to the chaotic nature of the atmosphere. Recent advances in machine learning (ML) have revolutionized…

Machine Learning · Computer Science 2024-02-06 Shan Zhao , Zhitong Xiong , Xiao Xiang Zhu

This study assesses the ability of six European seasonal forecast models to simulate the observed teleconnection between ENSO and tropical cyclones (TCs) over the North Atlantic. While the models generally capture the basin-wide observed…

Atmospheric and Oceanic Physics · Physics 2022-12-23 Robert Doane-Solomon , Daniel Befort , Joanne Camp , Kevin Hodges , Antje Weisheimer

Complex network theory provides a powerful toolbox for studying the structure of statistical interrelationships between multiple time series in various scientific disciplines. In this work, we apply the recently proposed climate network…

Data Analysis, Statistics and Probability · Physics 2013-11-26 Alexander Radebach , Reik V. Donner , Jakob Runge , Jonathan F. Donges , Jürgen Kurths

Quantification of relations between measured variables of interest by statistical measures of dependence is a common step in analysis of climate data. The term "connectivity" is used in the network context including the study of complex…

Methodology · Statistics 2015-06-12 Jaroslav Hlinka , David Hartman , Martin Vejmelka , Dagmar Novotná , Milan Paluš

The fact that the Earth climate is a highly complex dynamical system is well-known. In the last few decades a lot of effort has been focused on understanding how climate phenomena in one geographical region affects the climate of other…

Chaotic Dynamics · Physics 2015-06-17 J. Ignacio Deza , Cristina Masoller , Marcelo Barreiro

Establishing causal relations between random variables from observational data is perhaps the most important challenge in today's Science. In remote sensing and geosciences this is of special relevance to better understand the Earth's…

Machine Learning · Computer Science 2020-12-29 Adrián Pérez-Suay , Gustau Camps-Valls

Numerical climate models are used to project future climate change due to both anthropogenic and natural causes. Differences between projections from different climate models are a major source of uncertainty about future climate. Emergent…

Applications · Statistics 2020-02-06 Philip G. Sansom , David B. Stephenson , Thomas J. Bracegirdle

The increasing availability of highly resolved spatio-temporal data leads to new opportunities as well as challenges in many scientific disciplines such as climatology, ecology or epidemiology. This allows more detailed insights into the…

Data Analysis, Statistics and Probability · Physics 2024-01-22 Maik Riedl , Norbert Marwan , Jürgen Kurths

Uncertainty in return level estimates for rare events, like the intensity of large rainfall events, makes it difficult to develop strategies to mitigate related hazards, like flooding. Latent spatial extremes models reduce uncertainty by…

Applications · Statistics 2018-12-27 Joshua Hewitt , Miranda J. Fix , Jennifer A. Hoeting , Daniel S. Cooley

Extreme events over large spatial domains may exhibit highly heterogeneous tail dependence characteristics, yet most existing spatial extremes models yield only one dependence class over the entire spatial domain. To accurately characterize…

Methodology · Statistics 2025-11-14 Muyang Shi , Likun Zhang , Mark D. Risser , Benjamin A. Shaby

Most of the existing prediction methods gave a false alarm regarding the El Ni\~no event in 2014. A crucial aspect is currently limiting the success of such predictions, i.e. the stability of the slowly varying Pacific climate. This…

Atmospheric and Oceanic Physics · Physics 2017-08-31 Qing Yi Feng , Henk A. Dijkstra