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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

Record-breaking temperature events are now very frequently in the news, viewed as evidence of climate change. With this as motivation, we undertake the first substantial spatial modeling investigation of temperature record-breaking across…

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 use the Global Historical Climatology Network--daily database to calculate a nonparametric statistic that describes the rate at which all-time daily high and low temperature records have been set in nine geographic regions (continents or…

Atmospheric and Oceanic Physics · Physics 2017-08-16 J. M. Finkel , J. I. Katz

Record-breaking temperature events are now frequently in the news, proffered as evidence of climate change, and often bring significant economic and human impacts. Our previous work undertook the first substantial spatial modelling…

Rapid changes in climatic conditions threaten both socioeconomic and ecological systems, as these might not be able to adapt or to migrate at the same pace as that of global warming. In particular, an increase of weather and climate…

Atmospheric and Oceanic Physics · Physics 2020-06-14 Joan Rey , Guillaume Rohat , Marjorie Perroud , Stéphane Goyette , Jérôme Kasparian

In recent years there has been a surge of interest in the statistics of record-breaking events in stochastic processes. Along with that, many new and interesting applications of the theory of records were discovered and explored. The record…

Statistical Mechanics · Physics 2015-06-12 Gregor Wergen

The global mean surface temperature is widely studied to monitor climate change. A current debate centers around whether there has been a recent (post-1970s) surge/acceleration in the warming rate. This paper addresses whether an…

Applications · Statistics 2024-03-07 Claudie Beaulieu , Colin Gallagher , Rebecca Killick , Robert Lund , Xueheng Shi

The rise in global mean temperature is an incomplete description of warming. For many purposes, including agriculture and human life, temperature extremes may be more important than temperature means and changes in local extremes may be…

Atmospheric and Oceanic Physics · Physics 2017-08-03 J. M. Finkel , J. I. Katz

A simple 3-parameter random walk model for monthly fluctuations $\triangle T$ of a temperature $T$ is introduced. Applied to a time range of 170 years, temperature fluctuations of the model produce for about 14\% of the runs warming that…

Computational Physics · Physics 2020-02-28 Bernd Albert Berg

The climate change attribution problem is addressed using empirical decomposition. Cycles in solar motion and activity of 60 and 20 years were used to develop an empirical model of Earth temperature variations. The model was fit to the…

Geophysics · Physics 2012-06-27 Craig Loehle , Nicola Scafetta

We consider records and sequences of records drawn from discrete time series of the form $X_{n}=Y_{n}+cn$, where the $Y_{n}$ are independent and identically distributed random variables and $c$ is a constant drift. For very small and very…

Statistical Mechanics · Physics 2015-05-19 Jasper Franke , Gregor Wergen , Joachim Krug

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

We present a simple, pedagogical introduction to the statistics of extreme values. Motivated by a string of record high temperatures in December 1998, we consider the distribution, averages and lifetimes for a simplified model of such…

Statistical Mechanics · Physics 2009-10-31 B. Schmittmann , R. K. P. Zia

Climate change is commonly associated with an overall increase in mean temperature in a defined past time period. Many studies consider temperature trends at the global scale, but the literature is lacking in in-depth analysis of the…

Applications · Statistics 2022-10-12 Qibin Duan , Clare A. McGrory , Glenn Brown , Kerrie Mengersen , You-Gan Wang

Global climate change is one of main concern of modern society. To estimate this change usually one estimates the global mean temperature. Measuring and calculating the Earth's average temperature are multi-steps complex processes which…

Geophysics · Physics 2023-11-02 Slavoljub Mijovic

Modern weather stations in Germany record daily temperatures every 10 minutes, whereas measurements from historical reference periods are often only available at much coarser temporal resolutions, typically hourly. This discrepancy must be…

Applications · Statistics 2026-05-27 Kevin Wilk , Hajo Holzmann

There is an ongoing debate in the literature about whether the present global warming is increasing local and global temperature variability. The central methodological issues of this debate relate to the proper treatment of normalised…

Fluid Dynamics · Physics 2017-02-24 Miklos Vincze , Ion Borcia , Uwe Harlander

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

In this paper, we analyze several instrumental records of temperatures at different locations by using new techniques originally developed for the analysis of extreme values of dynamical systems. We show that they have the same recurrence…

Geophysics · Physics 2014-03-24 Davide Faranda , Sandro Vaienti
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