Statistical Modeling for Wind-Temperature Meteorological Elements in Troposphere

Abstract: A comprehensive statistical model for vertical profiles of the horizontal wind and temperature throughout the troposphere is presented. The model is based on radiosonde measurements of wind and temperature during several years. The profiles measured under quite different atmospheric conditions exhibit qualitative similarity, and a proper choice of the reference scales for the wind, temperature and altitude levels allows to consider the measurement data as realizations of a random process with universal characteristics: means, the basic functions and parameters of standard distributions for transform coefficients of the Principal Component Analysis. The features of the atmospheric conditions are described by statistical characteristics of the wind-temperature ensemble of dimensional reference scales. The high effectiveness of the proposed approach is provided by a similarity of wind - temperature vertical profiles, which allow to carry out the statistical modeling in the low-dimension space of the dimensional reference scales for the wind, temperature and altitude levels. The knowledge of the joint wind-temperature distributions in altitude open wide perspectives for modeling of various physical processes in real atmospheric conditions like the transfer of passive scalars or impurities, the electromagnetic wave penetration, the instability of internal waves, transition to turbulence etc.