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Observations and Modelling of 1/F-noise in Weather and Climate : Volume 6, Issue 1 (18/05/2011)

By Blender, R.

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Book Id: WPLBN0003988940
Format Type: PDF Article :
File Size: Pages 4
Reproduction Date: 2015

Title: Observations and Modelling of 1/F-noise in Weather and Climate : Volume 6, Issue 1 (18/05/2011)  
Author: Blender, R.
Volume: Vol. 6, Issue 1
Language: English
Subject: Science, Advances, Science
Collections: Periodicals: Journal and Magazine Collection (Contemporary), Copernicus GmbH
Historic
Publication Date:
2011
Publisher: Copernicus Gmbh, Göttingen, Germany
Member Page: Copernicus Publications

Citation

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Zhu, X., Fraedrich, K., & Blender, R. (2011). Observations and Modelling of 1/F-noise in Weather and Climate : Volume 6, Issue 1 (18/05/2011). Retrieved from http://www.ebooklibrary.org/


Description
Description: University of Hamburg, KlimaCampus, Hamburg, Germany. Data with power spectra close to S(f)~1/f is denoted as 1/f or flicker noise. High resolution measurements during TOGA/COARE for temperature, humidity, and wind speed (1\,min resolution) reveal 1/f spectra while precipitation shows no power-law scaling during the same period. However, a binary time series indicating the precipitation events (1 for precipitation, 0 for no precipitation) shows a clear 1/f spectrum in line with the remaining boundary layer data. For extreme events in time series with 1/f spectra the return time distribution is well approximated by a Weibull-distribution for short and long return times. The daily discharge of the Yangtze river shows high volatility which is linked to the intra-annual 1/f spectrum. The discharge fluctuations detected in different time windows are represented by a single function (a so-called data collapse) similar to the universal behavior found for turbulence and various physical systems at criticality. The collapse is well described by the Gumbel distribution.

Summary
Observations and modelling of 1/f-noise in weather and climate

Excerpt
Antal, T., Droz, M., Györgyi, G., and Rácz, Z.: 1/f Noise and extreme value statistics, Phys. Rev. Lett., 87, 240601, doi:10.1103/PhysRevLett.87.240601, 2001.; Blender, R., Fraedrich, K., and Sienz, F.: Extreme event return times in long-term memory processes near 1/f, Nonlin. Processes Geophys., 15, 557–565, doi:10.5194/npg-15-557-2008, 2008.; Bunde, A., Eichner, J. F., Kantelhardt, J. W., and Havlin S., Long-term memory: A natural mechanism for the clustering of extreme events and anomalous residual times in climate records, Phys. Rev. Lett., 94, 048701, doi:10.1103/PhysRevLett.94.048701, 2005.; Bramwell, S. T., Holdsworth, P. C. W., and Pinton, J.-F.: Universality of rare fluctuations in turbulence and critical phenomena, Nature, 396, 552–554, 1998.; Fraedrich, K. and Blender, R.: Scaling of atmosphere and ocean temperature correlations in observations and climate models, Phys. Rev. Lett., 90, 108501, doi:10.1103/PhysRevLett.90.108501, 2003.; Fraedrich, K., Luksch, U., and Blender, R.: 1/f-model for long time memory of the ocean surface temperature, Phys. Rev. E, 70, 037301, doi:10.1103/PhysRevE.70.037301, 2004.; Fraedrich, K., Blender, R., and Zhu, X.: Continuum climate variability: long-term memory, extremes, and predictability, Int. J. Mod. Phys. B, 23 (28 & 29), 5403–5416, 2009.; Huybers, P. and Curry, W.: Links between annual, Milankovitch and continuum temperature variability, Nature, 441, 329–332, 2006. Jiang, T., Zhang, Q., Blender, R., and Fraedrich, K.: Yangtze delta floods and droughts of the last millennium: Abrupt changes and long term memory, Theor. Appl. Climatol., 82, 131–141, doi:10.1007/s00704-005-0125-4, 2005.; Stoisiek, M. and Wolf, D.: Recent investigations on the stationarity of 1/f noise, J. Appl Phys., 47, 362–364, 1976.; Voss, R. F. and Clarke, J.: 1/f noise in music and speech, Nature, 258, 317–318, 1975.; Wang, G., Jiang, T., Blender, R., and Fraedrich, K.: Yangtze 1/f discharge variability and the interacting river-lake system, J. Hydrol., 351, 230–237, 2008.; Yano, J.-I., Blender, R., Zhang, C., and Fraedrich, K.: 1/f-Noise and pulse-like events in the tropical atmospheric surface variabilities: Convective self-criticality and impacts on ENSO, Q. J. Roy. Meteor. Soc., 130, 1697–1721, 2004.

 

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