EARTH SCIENCE THEORETICAL MODELS FOR QUANTITATIVE ANALYSIS OF GLOBAL SPATIAL DATA
A.K. CHERKASHIN1, I.Yu. LOBYCHEVA2
1V.B. Sochava Institute of Geography, Siberian Branch, Russian Academy of Sciences, 664033, Irkutsk, ul. Ulan-Batorskaya, 1, Russia akcherk@irnok.net 2Institute of Solar-Terrestrial Physics, Siberian Branch, Russian Academy of Sciences, 664033, Irkutsk, ul. Lermontova, 126A, Russia terh@yandex.ru
Keywords: теория землеведения, глобальные данные, поля географических показателей, глобальные и локаль ные подпространства, модели взаимодействия векторных полей, волновые уравнения и функции, уравнение эйконала, theory of earth science, global data, fields of geographical indicators, global and local subspaces, models of interaction of vector fields, wave equations and functions, eikonal equation
Abstract
Geographical space is considered as a dual system of subspace of geophysical coordinates and subspace of component coordinates of the geosystems states. The theoretical and mathematical models of the interaction of these subspaces in terms of vector fields, wave equations and functions, eikonal equations and local sheaves of linear dependencies of meteorological parameters are developed. The climatic zonal norms are reconstructed in the form of points of the global manifold of indicators links according to the positions of the sheaf centers. This model implements the principle of geometrization of geographical knowledge as the horo logical approach to justifying the local regularities of the interaction of natural characteristics in the geographical environment. The logical and statistical interrelation of the geographical phenomena of planetary and local levels is studied. Calculations used the average daily values of the scalar fields of atmospheric absolute temperature and specific humidity on the isobaric AT-700 hPa sur face for different months of 2014 according to logarithmically converted NCEP/NCAR Reanalysis Data. Latitudinal environmental invariants of air temperature and humidity are identified, and a map reflecting the zonal and azonal heterogeneity of the geographical environment is presented. This determines the main theme of earth science as the identification of the projec tion of space and global cycles onto the local system-forming patterns, which is necessary for the development of the theory, models and methods of scientific analysis of the correlation of scalar fields of geographical characteristics and spatial processes that cause them.
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