Statistical analysis and stochastic modelling of boundary layer wind speed

We study the statistics of the horizontal component of atmospheric boundary layer wind speed and introduce a stochastic process which has similar properties. Motivated by the non-stationarity of wind velocity data, we describe statistical methods to verify the picture of natural atmospheric boundary layer turbulence to be composed of successively occurring close to ideal turbulence phases with different parameters. We focus on the fluctuation of wind speed around its mean behaviour and show that there is linear relationship between the standard deviation of the fluctuation and the current mean wind speed. Additionally, we analyse the increment statistics and investigate the time dependence of the parameters describing the increment distribution. Noting that the first order geometric auto regressive process has similar statistical properties, we investigate this similarity and analyse the extent to which this stochastic process is a suitable model for wind speed simulation.