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In this study we used the sea surface temperature (SST), El-Nino southern oscillation (ENSO) and Pacific decadal oscillation (PDO) time-series for the time period 1900-2012 in order to investigate plausible manifestation of sharp increases…

Atmospheric and Oceanic Physics · Physics 2013-03-08 Belolipetsky P. V. , Bartsev S. I. , Degermendzhi A. G. , Huang-Hsiung Hsu , Varotsos C. A.

We propose a unified framework linking silicate weathering feedbacks, ecohydrological optimality and vegetation-climate interactions to explain Earth's Global Average Temperature evolution over the Phanerozoic. The framework integrates two…

Geophysics · Physics 2025-10-28 Allen Hunt , Didier Sornette

Due to spatial scarcity and uncertainties in sediment data, initial and boundary conditions in deep-time climate simulations are not well constrained. On the other hand, the climate is a nonlinear system with a multitude of feedback…

Atmospheric and Oceanic Physics · Physics 2024-11-01 Charline Ragon , Christian Vérard , Jérôme Kasparian , Maura Brunetti

In a physical system, changing parameters such as temperature can induce a phase transition: an abrupt change from one state of matter to another. Analogous phenomena have recently been observed in large language models. Typically, the task…

Machine Learning · Computer Science 2024-05-28 Julian Arnold , Flemming Holtorf , Frank Schäfer , Niels Lörch

It is often known, from modelling studies, that a certain mode of climate tipping (of the oceanic thermohaline circulation, for example) is governed by an underlying fold bifurcation. For such a case we present a scheme of analysis that…

Dynamical Systems · Mathematics 2010-12-15 J. M. T. Thompson , Jan Sieber

Aim: We present an improved database of temperature dependent rate coefficients for rotational state-to-state transitions in H$_{2}$O + H$_{2}$O collisions. The database includes 231 transitions between the lower $para$- and 210 transitions…

Chemical Physics · Physics 2023-10-19 Bikramaditya Mandal , Dmitri Babikov

We analyze the ERA5 reanalysis 2-meter temperature time series on all land grid points using change point analysis. We fit two linear slopes to the data with the constraint that they merge at the point in time where the slope changes. We…

Applications · Statistics 2025-07-22 Fatemeh Aghaei A. , Ewan T. Phillips , Holger Kantz

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

Understanding the interactions between ice sheets and global climate forcings over geological timescales is essential for projecting their future. Previous studies have highlighted the role of ice dynamics and climate interactions in…

Atmospheric and Oceanic Physics · Physics 2026-03-31 Pijush Patra , Ludovico T. Giorgini , J. S. Wettlaufer

Using observational data and an elementary rigorous statistical fact it is easily shown that the distribution of Earth's climate is non-stationary. Examination of records of hundreds of local Industrial Era temperature histories in the…

Atmospheric and Oceanic Physics · Physics 2022-01-21 Juan M. Restrepo , Michael E. Mann

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

Dansgaard-Oeschger events are a prominent mode of variability in the records of the last glacial cycle. Various prototype models have been proposed to explain these rapid climate fluctuations, and no agreement has emerged on which may be…

Atmospheric and Oceanic Physics · Physics 2013-02-07 Andrea A. Cimatoribus , Sybren S. Drijfhout , Valerie Livina , Gerard van der Schrier

We propose a novel family of test statistics to detect the presence of changepoints in a sequence of dependent, possibly multivariate, functional-valued observations. Our approach allows to test for a very general class of changepoints,…

Methodology · Statistics 2023-10-10 B. Cooper Boniece , Lajos Horváth , Lorenzo Trapani

The glaciological record of atmospheric composition suggests O2 has declined over the last 800000 years at an average rate of 0.3 x 1012 mol (Tmol) O2 yr-1. Because the geological carbon cycle regulates long term atmospheric oxygen…

Atmospheric and Oceanic Physics · Physics 2020-05-07 Galvez Matthieu Emmanuel

This paper is a contribution to the understanding of the thermal properties of aging systems where statistically independent degrees of freedom with largely separated timescales are expected to coexist. Focusing on the prototypical case of…

Statistical Mechanics · Physics 2015-06-03 Federico Corberi , Giuseppe Gonnella , Antonio Piscitelli

A central concern across the natural sciences is a quantitative understanding of the mechanism governing rare transitions between two metastable states. Recent research has uncovered a fundamental equality between the time-reversal…

Statistical Mechanics · Physics 2024-12-30 Miranda D. Louwerse , David A. Sivak

Climate changepoint (homogenization) methods abound today, with a myriad of techniques existing in both the climate and statistics literature. Unfortunately, the appropriate changepoint technique to use remains unclear to many. Further…

Applications · Statistics 2022-12-07 Robert B. Lund , Claudie Beaulieu , Rebecca Killick , Qiqi Lu , Xueheng Shi

Cenozoic temperature, sea level and CO2 co-variations provide insights into climate sensitivity to external forcings and sea level sensitivity to climate change. Climate sensitivity depends on the initial climate state, but potentially can…

Atmospheric and Oceanic Physics · Physics 2014-03-05 James Hansen , Makiko Sato , Gary Russell , Pushker Kharecha

We present a theoretical description for the equilibrium states of a large class of models of two-dimensional and geophysical flows, in arbitrary domains. We account for the existence of ensemble inequivalence and negative specific heat in…

Statistical Mechanics · Physics 2013-05-29 Antoine Venaille , Freddy Bouchet

We present a mathematical analysis of records drawn from independent random variables with a drifting mean. To leading order the change in the record rate is proportional to the ratio of the drift velocity to the standard deviation of the…

Data Analysis, Statistics and Probability · Physics 2015-05-19 Gregor Wergen , Joachim Krug