Nonlinear Stratospheric Variability: Multifractal De-trended Fluctuation Analysis and Singularity Spectra

Badin, Gualtiero and Domeisen, Daniela I.V. (2016) Nonlinear Stratospheric Variability: Multifractal De-trended Fluctuation Analysis and Singularity Spectra Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 472 (2191). Art. no. 20150864. DOI 10.1098/rspa.2015.0864.

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Abstract

Characterizing the stratosphere as a turbulent system, temporal fluctuations often show different correlations for different time scales as well as intermittent behaviour that cannot be captured by a single scaling exponent. In this study, the different scaling laws in the long-term stratospheric variability are studied using multifractal de-trended fluctuation analysis (MF-DFA). The analysis is performed comparing four re-analysis products and different realizations of an idealized numerical model, isolating the role of topographic forcing and seasonal variability, as well as the absence of climate teleconnections and small-scale forcing. The Northern Hemisphere (NH) shows a transition of scaling exponents for time scales shorter than about 1 year, for which the variability is multifractal and scales in time with a power law corresponding to a red spectrum, to longer time scales, for which the variability is monofractal and scales in time with a power law corresponding to white noise. Southern Hemisphere (SH) variability also shows a transition at annual scales. The SH also shows a narrower dynamical range in multifractality than the NH, as seen in the generalized Hurst exponent and in the singularity spectra. The numerical integrations show that the models are able to reproduce the lowfrequency variability but are not able to fully capture the shorter term variability of the stratosphere.

Document Type: Article
Additional Information: ERA40 and ERinterim data have been obtained from the ECMWF Data Server. NCEP reanalysis data were obtained from the ESRL Data Server. The data fromthe model integrations can be obtained from D.I.V.D. (ddomeisen@geomar.de), GEOMAR Helmholtz Centre for Ocean Research Kiel, Germany.
Keywords: Complexity; Long-term persistence; Multi-fractal; Predictability; Scaling laws; Stratosphere
Research affiliation: OceanRep > GEOMAR > FB1 Ocean Circulation and Climate Dynamics > FB1-ME Maritime Meteorology
Refereed: Yes
DOI etc.: 10.1098/rspa.2015.0864
ISSN: 1364-5021
Date Deposited: 15 Jun 2016 09:24
Last Modified: 04 May 2017 11:31
URI: http://eprints.uni-kiel.de/id/eprint/33078

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