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The fluctuation statistics of the observed sea ice extent during the satellite era are compared with model output from CMIP5 models using a multi-fractal time series method. The two robust features of the observations are that on annual to…

Atmospheric and Oceanic Physics · Physics 2019-09-02 Sahil Agarwal , John S. Wettlaufer

A controlling factor in the seasonal and climatological evolution of the sea ice cover is its albedo $\alpha$. Here we analyze Arctic data from the Advanced Very High Resolution Radiometer (AVHRR) Polar Pathfinder and assess the seasonality…

Atmospheric and Oceanic Physics · Physics 2011-10-31 S. Agarwal , W. Moon , J. S. Wettlaufer

Since the beginning of satellite observations, the Arctic sea ice extent has shown a downward trend. The decline has been weaker in the March maximum than in the September minimum and masked by inter-annual fluctuations. One of the less…

Atmospheric and Oceanic Physics · Physics 2013-08-23 Peter D. Ditlevsen , Ivana Cvijanovic

In the last decades, an ever-growing number of studies are focusing on the extreme weather conditions related to the climate change. Some of them are based on multifractal approaches, such as the Multifractal Detrended Fluctuation Analysis…

Atmospheric and Oceanic Physics · Physics 2023-11-17 J. Gomez-Gomez , R. Carmona-Cabezas , A. B. Ariza-Villaverde , E. Gutierrez de Rave , F. J. Jimenez-Hornero

Over recent decades, the Arctic Ocean has experienced dramatic changes due to climate change. Retreating sea ice has opened up large areas of ocean, resulting in an enhanced wave climate. Taking into account the intense seasonality and the…

Atmospheric and Oceanic Physics · Physics 2020-10-14 Isabela S. Cabral , Ian R. Young , Alessandro Toffoli

By arguing that the surface pressure field over the Arctic Ocean can be treated as an isotropic, stationary, homogeneous, Gaussian random field, Thorndike estimated a number of covariance functions from two years of data (1979 and 1980).…

Atmospheric and Oceanic Physics · Physics 2017-06-28 Sahil Agarwal , John S. Wettlaufer

It has been widely debated whether Arctic sea-ice loss can reach a tipping point beyond which a large sea-ice area disappears abruptly. The theory of dynamical systems predicts a slowing down when a system destabilises towards a tipping…

Atmospheric and Oceanic Physics · Physics 2016-01-26 Sebastian Bathiany , Bregje van der Bolt , Mark S. Williamson , Timothy M. Lenton , Marten Scheffer , Egbert van Nes , Dirk Notz

We use multifractal detrended fluctuation analysis (MF-DFA), to See query 1 study sunspot number fluctuations. The result of the MF-DFA shows that there are three crossover timescales in the fluctuation function. We discuss how the…

Data Analysis, Statistics and Probability · Physics 2011-02-16 M. Sadegh Movahed , G. R. Jafari , F. Ghasemi , Sohrab Rahvar , M. Reza Rahimi Tabar

We analyze the stability of a low-order coupled sea ice and climate model and extract the essential physics governing the time scales of response as a function of greenhouse gas forcing. Under present climate conditions the stability is…

Atmospheric and Oceanic Physics · Physics 2011-10-13 W. Moon , J. S. Wettlaufer

There is ongoing debate over whether Arctic sea-ice has already passed a `tipping point', or whether it will do so in the future. Several recent studies argue that the loss of summer sea ice does not involve an irreversible bifurcation,…

Geophysics · Physics 2013-01-23 Valerie N. Livina , Timothy M. Lenton

We study temporal correlations and multifractal properties of long river discharge records from 41 hydrological stations around the globe. To detect long-term correlations and multifractal behaviour in the presence of trends, we apply…

The diminishing extent of Arctic sea ice is a key indicator of climate change as well as an accelerant for future global warming. Since 1978, Arctic sea ice has been measured using satellite-based microwave sensing; however, different…

The earth's ionosphere is well recognized as a dynamical system and non-linearly coupled with the magnetosphere above and natural atmosphere below.The shape and time variability of the ionosphere indeed shows chaos, pattern formation,…

Earth and Planetary Astrophysics · Physics 2013-12-13 H. J. Tanna , K. N. Pathak

As Arctic sea ice extent decreases with increasing greenhouse gases, there is a growing interest in whether there could be a bifurcation associated with its loss, and whether there is significant hysteresis associated with that bifurcation.…

Dynamical Systems · Mathematics 2016-06-22 Kaitlin Hill , Dorian S. Abbot , Mary Silber

Variability in sea ice conditions, combined with strong couplings to the atmosphere and the ocean, lead to a broad range of complex sea ice dynamics. More in-situ measurements are needed to better identify the phenomena and mechanisms that…

Multifractal structure of global monthly mean temperature anomaly time series over the period of 1850-2012 are studied in terms of the multifractal detrended moving average (MFDMA) analysis. We try to address the possible source(s) and the…

Atmospheric and Oceanic Physics · Physics 2017-08-17 Provash Mali

We analyze the numerical solutions of a stochastic Arctic sea ice model with constant additive noise over a wide range of external heat-fluxes, $\Delta F_0$, which correspond to greenhouse gas forcing. The variability that the stochasticity…

Atmospheric and Oceanic Physics · Physics 2017-05-05 Woosok Moon , John S. Wettlaufer

Multifractal time series analysis is a approach that shows the possible complexity of the system. Nowadays, one of the most popular and the best methods for determining multifractal characteristics is Multifractal Detrended Fluctuation…

Statistical Finance · Quantitative Finance 2015-10-20 Rafal Rak , Pawel Zięba

Multifractal detrended fluctuation analysis (MFDFA) has become a central method to characterise the variability and uncertainty in empiric time series. Extracting the fluctuations on different temporal scales allows quantifying the strength…

Computational Physics · Physics 2022-01-05 Leonardo Rydin Gorjão , Galib Hassan , Jürgen Kurths , Dirk Witthaut

Detrended fluctuation analysis (DFA) is a scaling analysis method used to estimate long-range power-law correlation exponents in noisy signals. Many noisy signals in real systems display trends, so that the scaling results obtained from the…

Data Analysis, Statistics and Probability · Physics 2009-11-07 Kun Hu , Plamen Ch. Ivanov , Zhi Chen , Pedro Carpena , H. Eugene Stanley
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