Discrete Analysis of Spatial and Temporal Variability of Geosystems of Baikal Siberia

The discrete spatial and temporal variability of the geosystem characteristics at the regional level (geomes) on the territory of Baikal Siberia has been theoretically and statistically studied. The concepts and equations of a unified quantum theory aimed at a fractional description of processes and phenomena in terms of the functional state of geomes in the Hilbert space of the superposition of functions of the altitude distribution of geosystems were used. Frequency distributions by elevation gradations were determined based on the combination of an electronic geome map and a digital terrain model. Geomes differ in modal height values corresponding to their highest occurrence – optimal conditions of existence in the territory. Distributions are transformed into indicators of integrated hazard, which are statistically transformed into information functions of through quantum theory. The coefficients of variability of these functions in terms of location height are quantized, differ by geomes, which is confirmed by the results of theoretical analysis. A map of the quantum levels of spatial and temporal variability of the geomes of Baikal Siberia and a scheme of spatial and temporal transitions between quantum levels (geomes) are constructed. The methods of forecasting the dynamics and evolution of geosystems are substantiated and new procedures for calculating the quantum variability of the temporal and spatial position of geomes are proposed.