关键词: 陆地环境, 区域化变量, 污染物浓度场, 微分几何, 环境统计分析, 强化生物除磷, 聚磷菌, 聚糖菌, 代谢机理

Abstract: Based on the basic concepts of differential geometry in analyzing environmental data and establishing related models, the methodology for differential
 geometry expression and analysis of pollutants concentration in terrestrial environment was presented. As a kind of regionalized variables, the spatial distribution pattern of the pollutants concentration was transformed into 3-dimension form, and fitted with conicoid. This approach made it possible to analyze the quantitative relationships between the regionalized variables and their spatial structural attributes. For illustration purpose, several sorts of typical space fabrics, such as convexity, concavity, ridge, ravine, saddle, and slope, were calculated and characterized. It was suggested that this approach was feasible for analyzing the regionalized variables of pollutants concentration in terrestrial environment.

Key words: terrestrial environment, regionalized variable, pollutant concentration field, differential geometry, environment statistics analysis, EBPR, PAOs, GAOs, metabolic mechanisms.