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We theoretically study long-term trends in the statistics of record-breaking daily temperatures and validate these predictions using Monte Carlo simulations and data from the city of Philadelphia, for which 126 years of daily temperature…

Data Analysis, Statistics and Probability · Physics 2007-05-23 S. Redner , Mark R. Petersen

We analyze the occurrence and the values of record-breaking temperatures in daily and monthly temperature observations. Our aim is to better understand and quantify the statistics of temperature records in the context of global warming.…

Atmospheric and Oceanic Physics · Physics 2013-03-20 Gregor Wergen , Andreas Hense , Joachim Krug

One of the main challenges in identifying structural changes in stochastic processes is to carry out analysis for time series with dependency structure in a computationally tractable way. Another challenge is that the number of true change…

Methodology · Statistics 2017-08-02 Jie Ding , Yu Xiang , Lu Shen , Vahid Tarokh

Global climate models aim to reproduce physical processes on a global scale and predict quantities such as temperature given some forcing inputs. We consider climate ensembles made of collections of such runs with different initial…

Applications · Statistics 2013-12-02 Stefano Castruccio , Michael L. Stein

Over the past decade, it has become clear that the radiative response to surface temperature change depends on the spatially varying structure in the temperature field, a phenomenon known as the "pattern effect''. The pattern effect is…

We analyze the global temperature change due to the Mt. Pinatubo eruption using a simple two-layer model of the atmosphere and surface to obtain results consistent with satellite data. Through analytic and numerical analysis we find a…

Geophysics · Physics 2009-01-21 Robert S. Knox , Kevin J. LaTourette

We propose a Bayesian method to detect change points for functional data. We extract the features of a sequence of functional data by the discrete wavelet transform (DWT), and treat each sequence of feature independently. We believe there…

Methodology · Statistics 2018-08-06 Xiuqi Li , Subhashis Ghosal

Detecting and attributing temperature increases driven by climate change is crucial for understanding global warming and informing adaptation strategies. However, distinguishing human-induced climate signals from natural variability remains…

Computer Vision and Pattern Recognition · Computer Science 2025-03-12 Sungduk Yu , Brian L. White , Anahita Bhiwandiwalla , Musashi Hinck , Matthew Lyle Olson , Yaniv Gurwicz , Raanan Y. Rohekar , Tung Nguyen , Vasudev Lal

In this paper, we present a change point detection method for detecting change points in multivariate nonstationary wind speed time series. The change point method identifies changes in the covariance structure and decomposes the…

Methodology · Statistics 2021-05-25 Sakitha Ariyarathne , Harsha Gangammanavar , Raanju R. Sundararajan

Using optimal detection techniques with climate model simulations, most of the observed increase of near surface temperatures over the second half of the twentieth century is attributed to anthropogenic influences. However, the partitioning…

Atmospheric and Oceanic Physics · Physics 2016-08-03 Gareth S. Jones , Peter A. Stott , John F. B. Mitchell

We present a study on the spatio-temporal pattern underlying the climate dynamics in various locations spread over India, including the Himalayan region, coastal region, central and northeastern parts of India. We try to capture the…

Atmospheric and Oceanic Physics · Physics 2024-01-24 Joshin John Bejoy , Jayesh Dave , G. Ambika

We use continuous wavelet tools to characterize the dynamics of climate change across time and frequencies. This approach allows us to capture the changing patterns in the relationship between global mean temperature anomalies and climate…

Atmospheric and Oceanic Physics · Physics 2025-09-29 Luis Aguiar-Conraria , Vasco J. Gabriel , Luis F. Martins , Anthoulla Phella

Earth's climate can be understood as a dynamical system that changes due to external forcing and internal couplings. Essential climate variables, such as surface air temperature, describe this dynamics. Our current interglacial, the…

Atmospheric and Oceanic Physics · Physics 2022-01-24 Beatrice Ellerhoff , Kira Rehfeld

Both global, intermediate and local scales of Climate Change have been studied extensively, but a unified diagnostic framework for examining all spatial scales concurrently has remained elusive. Here we present a new tool-set using…

Atmospheric and Oceanic Physics · Physics 2022-05-19 Albert Sneppen

Industrial operations have grown exponentially over the last century, driving advancements in energy utilization through vehicles and machinery.This growth has significant environmental implications, necessitating the use of sophisticated…

Applications · Statistics 2024-05-28 Anurag Mishra , Ronen Gold , Sanjeev Vijayakumar

Modeling functions that are sequentially observed as functional time series is becoming increasingly common. In such models, it is often crucial to ensure data homogeneity. We investigate the sensitivity of graph-based change point…

Methodology · Statistics 2025-03-25 Jeremy VanderDoes , Shojaeddin Chenouri

Most climate trend studies analyze long-term trends as a proxy for climate dynamics. However, when examining seasonal data, it is unrealistic to assume that long-term trends remain consistent across all seasons. Instead, each season likely…

Applications · Statistics 2025-12-04 Jaechoul Lee , Mintaek Lee , Thea Sukianto

Attribution of climate impacts to natural and anthropogenic source forcings is essential for understanding and addressing climate effects. While standard methods like optimal fingerprinting have been effective for long-term changes, they…

Applications · Statistics 2025-07-25 Christopher R. Wentland , Michael Weylandt , Laura P. Swiler , Diana L. Bull

High-dimensional time series are characterized by a large number of measurements and complex dependence, and often involve abrupt change points. We propose a new procedure to detect change points in the mean of high-dimensional time series…

Methodology · Statistics 2019-03-19 Jun Li , Minya Xu , Ping-Shou Zhong , Lingjun Li

Multistability is a phenomenon prevalent in many natural systems. In climate, for example, it allows the possibility of irreversible consequences on planetary scale as a result of climate change. Indeed, a climate ``tipping element'' is a…

Atmospheric and Oceanic Physics · Physics 2026-04-14 George Datseris , Johannes Lohmann , Oisín Hamilton , Jacob Haqq-Misra