Analysis of the hydrometeorological fields' ensemble by the methods of stochastic differential equations theory

Abstract

Probabilistic description of spatial-temporal ensemble of hydrometeorological fields requires evaluation of mathematical expectation, dispersion and covariance functions, which depend on spatial coordinates, time and its shift. Due to high dimension of these features, it is expedient to use joint distribution of hydrometeorological value with its derivate, which is applied in theory of stochastic differential equations and theory of runs. The paper gives a consideration to this approach by the examples of ensembles of satellite information on chlorophyll concentration, modular calculation of wind waves' fields, and re-analysis of air temperature and atmosphere pressure.