ИСТИНА

The approach to detection of regularities of the spatial and temporal variability of ground phytomass on the basis of data analysis (NDVI, Landsat 8) of remote sensing of the Earth with the use of theoretical equation is proved. The equation was derived earlier [1] in the framework of the conservation laws of mechanics and chemical kinetics of live reacting systems. Kinetic studies of microbial growth on multicomponent substrates are widely used in quantitative microbiology, toxicology, and ecology. They usually include measurements of microbial growth or another response rate of living beings as a function of the initial concentrations of substrate components and growth modeling with the use of differential equations. Due to nonlinearity, these equations are usually solved numerically. This paper presents the application of a model of microbial growth on a complex substrate. Based on an arbitrary number of chemical and biochemical reactions taking place in the substrate and cells, an analytical formula was deduced relating microbial growth to initial concentrations of substrate components and time. The analysis of this formula reaffirmed our previous finding of singular points separating the growth curve into phases of growth, and for the first time revealed singular points on the dose-response curve as functions of initial concentrations of substrate components, provided that these concentrations are included in the formula as a geometrical mean. The formula was checked against independent experimental data [2]. This formula makes possible quantitative analysis of dose-response curves for an unlimited number of substrate components. It is shown that with the introduction of a constant resultant concentration of heavy metals in the soil (Li, V, Cr, Co, Ni, Cu, Zn, As, Sr, Mo, Cd, Sn, Sb, Cs, Ba, Pb) for each monitoring site in the vicinity of the mining and processing plant (in the form of a geometric mean) in the equation constants, the seasonal dynamics of the vegetation index obeys the theoretical equation, whose constants and singular points are the individualizing characteristics of each site. Under the condition of introduction to constants of the equation of time natural change of vegetative index depending on the index of initial concentration of the established set of heavy metals in the soil submits to the theoretical equation. Constants and singular points of e are the individualizing characteristics of this uniform in all respects, except for the degree of pollution, territory, which can be ranked into seven categories of quality, divided by six singular points, according to the value of the response of phytomass, represented by the value of NDVI, to the degree of soil pollution.