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Advances in Science and Research Contributions in Applied Meteorology and Climatology
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Volume 6, issue 1
Adv. Sci. Res., 6, 137–140, 2011
https://doi.org/10.5194/asr-6-137-2011
© Author(s) 2011. This work is distributed under
the Creative Commons Attribution 3.0 License.
Adv. Sci. Res., 6, 137–140, 2011
https://doi.org/10.5194/asr-6-137-2011
© Author(s) 2011. This work is distributed under
the Creative Commons Attribution 3.0 License.

  18 May 2011

18 May 2011

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

R. Blender, X. Zhu, and K. Fraedrich R. Blender et al.
  • University of Hamburg, KlimaCampus, Hamburg, Germany

Abstract. 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.

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