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 chorological 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 surface 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 projection 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.

中文翻译：

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全球空间数据定量分析的地球科学理论模型

地理空间被认为是地球物理坐标子空间和地球系统状态分量坐标子空间的双重系统。这些子空间相互作用的理论和数学模型在矢量场、波动方程和函数、eikonal 方程和气象参数线性相关性的局部滑轮方面得到了发展。根据层中心的位置，以全球指标流形的点的形式重建气候带范数。该模型将地理知识的几何化原理作为一种方法来证明地理环境中自然特征相互作用的局部规律是合理的。研究了行星和地方层面的地理现象的逻辑和统计相互关系。根据对数转换的 NCEP/NCAR 再分析数据，计算使用 2014 年不同月份的等压 700 hPa 表面大气绝对温度和比湿度标量场的日平均值。确定了空气温度和湿度的纬度环境不变量，并呈现了一张反映地理环境带状和非带状异质性的地图。这决定了地球科学的主题是识别空间和全球周期对局部系统形成模式的投影，这对于理论的发展是必要的，