Statistical Modeling for Wind-Temperature Meteorological Elements in Troposphere

TL;DR

This paper develops a universal statistical model for wind and temperature profiles in the troposphere using radiosonde data, enabling better understanding of atmospheric processes and their variability.

Contribution

It introduces a novel low-dimensional statistical modeling approach based on principal component analysis for wind-temperature profiles in the troposphere.

Findings

Profiles exhibit qualitative similarity across conditions

Model captures universal characteristics of wind and temperature

Enables improved physical process simulations in atmospheric science

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.