Multifractality of climate networks

<p>Geophysical fields are extremely variable over a wide range of space–time scales. More specifically, they are intermittent in the sense that the strongest fluctuations are increasingly concentrated in sparser and sparser fractions of the space–time domain. Multifractals have been developed...

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Main Authors: A. J. Thomas, J. Kurths, D. Schertzer
Format: Article
Language:English
Published: Copernicus Publications 2025-05-01
Series:Nonlinear Processes in Geophysics
Online Access:https://npg.copernicus.org/articles/32/131/2025/npg-32-131-2025.pdf
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author A. J. Thomas
J. Kurths
D. Schertzer
D. Schertzer
author_facet A. J. Thomas
J. Kurths
D. Schertzer
D. Schertzer
author_sort A. J. Thomas
collection DOAJ
description <p>Geophysical fields are extremely variable over a wide range of space–time scales. More specifically, they are intermittent in the sense that the strongest fluctuations are increasingly concentrated in sparser and sparser fractions of the space–time domain. Multifractals have been developed to analyze and simulate intermittency across scales, while climate networks can detect and characterize extreme-event synchronization. In contrast to multifractal analysis, climate networks are usually generated at a given observation scale despite displaying complex structures over larger scales and being likely to exhibit similar complexity at smaller scales.</p> <p>In this letter, we present how to overcome this dichotomy of approaches by analyzing in detail the effects of increasing the observation scale for climate networks as allowed by empirical data; i.e., how do they upscale? This must be understood as a preliminary step to be able to downscale them, including for practical applications such as urban geosciences that require the analysis and simulation of intermittent fields at a very high resolution. This is one of the reasons why we are using precipitation to illustrate our multifractal climate network approach.</p>
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spelling doaj-art-8a41af71c4fe469facb9adac877fb6e92025-08-20T03:09:42ZengCopernicus PublicationsNonlinear Processes in Geophysics1023-58091607-79462025-05-013213113810.5194/npg-32-131-2025Multifractality of climate networksA. J. Thomas0J. Kurths1D. Schertzer2D. Schertzer3Hydrology Meteorology & Complexity (HM&Co), École nationale des ponts et chaussées, IP Paris, 6-8 Av. Blaise Pascal, Champs-sur-Marne, FranceDepartment of Complexity Science, Potsdam Institute for Climate Impact Research, Telegrafenberg A31, 14473 Potsdam, GermanyHydrology Meteorology & Complexity (HM&Co), École nationale des ponts et chaussées, IP Paris, 6-8 Av. Blaise Pascal, Champs-sur-Marne, FranceDepartment of Complexity Science, Potsdam Institute for Climate Impact Research, Telegrafenberg A31, 14473 Potsdam, Germany<p>Geophysical fields are extremely variable over a wide range of space–time scales. More specifically, they are intermittent in the sense that the strongest fluctuations are increasingly concentrated in sparser and sparser fractions of the space–time domain. Multifractals have been developed to analyze and simulate intermittency across scales, while climate networks can detect and characterize extreme-event synchronization. In contrast to multifractal analysis, climate networks are usually generated at a given observation scale despite displaying complex structures over larger scales and being likely to exhibit similar complexity at smaller scales.</p> <p>In this letter, we present how to overcome this dichotomy of approaches by analyzing in detail the effects of increasing the observation scale for climate networks as allowed by empirical data; i.e., how do they upscale? This must be understood as a preliminary step to be able to downscale them, including for practical applications such as urban geosciences that require the analysis and simulation of intermittent fields at a very high resolution. This is one of the reasons why we are using precipitation to illustrate our multifractal climate network approach.</p>https://npg.copernicus.org/articles/32/131/2025/npg-32-131-2025.pdf
spellingShingle A. J. Thomas
J. Kurths
D. Schertzer
D. Schertzer
Multifractality of climate networks
Nonlinear Processes in Geophysics
title Multifractality of climate networks
title_full Multifractality of climate networks
title_fullStr Multifractality of climate networks
title_full_unstemmed Multifractality of climate networks
title_short Multifractality of climate networks
title_sort multifractality of climate networks
url https://npg.copernicus.org/articles/32/131/2025/npg-32-131-2025.pdf
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