observations and modelling of 1/f-noise in weather and climate
;R. Blender;X. Zhu;K. Fraedrich
proceedings of the 2017 ieee russia section young researchers in electrical and electronic engineering conference, elconrus 20172011Vol. 6pp. 137-140
94
blender2011advancesobservations
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.