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Statistical methods are required to evaluate and quantify the uncertainty in environmental processes, such as land and sea surface temperature, in a changing climate. Typically, annual harmonics are used to characterize the variation in the…

Applications · Statistics 2020-03-17 Joshua S. North , Erin M. Schliep , Christopher K. Wikle

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

The quantification of the interannual component of variability in climatological time series is essential for the assessment and prediction of the El Ni\~{n}o - Southern Oscillation phenomenon. This is achieved by estimating the deviation…

Applications · Statistics 2025-11-14 Tommaso Proietti , Alessandro Giovannelli

Oceanic atmospheric oscillations and climate variability are tightly linked and both exhibit broad band spectral content that ranges, with roughly equal strength, from annual to centennial periodicity. The explanation for variability based…

Solar and Stellar Astrophysics · Physics 2024-04-23 Ian R. Edmonds

We use the technique of wavelet analysis to quantitatively investigate the role of solar variability in forcing terrestrial climate change on solar cycle timescales (roughly 11 years). We examine the connection between mean annual solar…

Astrophysics · Physics 2007-05-23 Matthew J. Lewis , Katherine Freese

Spatiotemporal variations in thunderstorm occurrence frequency are considered here using an environmental dataset derived from ERA5 reanalysis data. Interannual variability in the thunderstorm environments is examined for the period…

Atmospheric and Oceanic Physics · Physics 2025-12-17 Andrew Dowdy , Andrew Brown , Todd Lane , Mateusz Taszarek

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

In this article, we review the interdisciplinary techniques (borrowed from physics, mathematics, statistics, machine-learning, etc.) and methodological framework that we have used to understand climate systems, which serve as examples of…

Data Analysis, Statistics and Probability · Physics 2024-05-29 Alka Yadav , Sourish Das , Anirban Chakraborti

Existing methods for diagnosing predictability in climate indices often make a number of unjustified assumptions about the climate system that can lead to misleading conclusions. We present a flexible family of state-space models capable of…

Applications · Statistics 2018-07-10 Philip G. Sansom , David B. Stephenson , Daniel B. Williamson

Understanding droughts in a climate context remains a major challenge. Over the United States, different choices of observations and metrics have often produced diametrically opposite insights. This paper focuses on understanding and…

Atmospheric and Oceanic Physics · Physics 2015-12-31 Poulomi Ganguli , Auroop R. Ganguly

The Earth's climate system is a classical example of a multiscale, multiphysics dynamical system with an extremely large number of active degrees of freedom, exhibiting variability on scales ranging from micrometers and seconds in cloud…

Atmospheric and Oceanic Physics · Physics 2022-01-19 Gary Froyland , Dimitrios Giannakis , Benjamin Lintner , Maxwell Pike , Joanna Slawinska

Uncovering meaningful regularities in complex oscillatory signals is a challenging problem with applications across a wide range of disciplines. Here we present a novel approach, based on the Hilbert transform (HT). We show that temporal…

Atmospheric and Oceanic Physics · Physics 2019-05-22 Dario A. Zappalà , Cristina Masoller , Marcelo Barreiro

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

It is shown that the periodic alteration of night and day provides a chaotic dissipation mechanism for the North Atlantic (NAO) and Southern (SOI) climate oscillations. The wavelet regression detrended daily NAO index for last 60 years and…

Atmospheric and Oceanic Physics · Physics 2010-07-20 A. Bershadskii

Atmospheric transient eddies and low-frequency flow contribution to the ocean surface wave climate in the North Atlantic during boreal winter is investigated (1980 - 2016). We conduct a set of numerical simulations with a state-of-the-art…

Atmospheric and Oceanic Physics · Physics 2021-06-10 Margarita Markina , Josh Studholme , Sergey Gulev

We introduce a method for decomposition of trend, cycle and seasonal components in spatio-temporal models and apply it to investigate the existence of climate changes in temperature and rainfall series. The method incorporates critical…

Applications · Statistics 2017-03-21 Marcio Poletti Laurini

The oscillations of climatic parameters of North Atlantic Ocean play important role in various events in North America and Europe. Several climatic indices are associated with these oscillations. The long term Atlantic temperature anomalies…

Computer Vision and Pattern Recognition · Computer Science 2023-05-05 Vasil Kolev , Yavor Chapanov

The annual temperature cycle of the earth closely follows the annual cycle of solar flux. At temperate latitudes, both driving and response cycles are well described by a strong annual sinusoidal component and a non-vanishing semiannual…

Atmospheric and Oceanic Physics · Physics 2020-11-13 Yunxiang Song , Kyle B. Lawlor , Thomas A. Witten

It is shown that, the wavelet regression detrended fluctuations of the reconstructed temperature for the past 400,000 years (Antarctic ice cores data) are completely dominated by one-third subharmonic resonance, presumably related to Earth…

Atmospheric and Oceanic Physics · Physics 2010-06-24 A. Bershadskii

In the marine environment, many fields have fluctuations over a large range of different spatial and temporal scales. These quantities can be nonlinear \red{and} non-stationary, and often interact with each other. A good method to study the…

Atmospheric and Oceanic Physics · Physics 2014-01-20 Y. X. Huang , Francois G. Schmitt
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