USING OF FRACTAL ANALYSIS METHODS IN RESEARCH OF CONDUCTIVITY OF AGRICULTURAL SOILS AND CROP YIELD

The study purpose is to analyze the parameters of specific conductivity of agricultural soils and crop yields. Methods of field experiment, metrological observation, fractal evaluation of statistical information are used. Consider the real time series that characterize the evolution of the parameters of the specific conductivity of the agricultural soils, the agrobiological condition of the soils of Ukraine. The Tuckens' theorem is the rationale for such studies. The chaotic nature of the dynamical system under study, as set by the time realizations, is established with the Lyapunov's exponent. The stability of the condition of the soil (relative to its specific conductivity) is estimated using the Hausdorff's fractal dimension and the fractal index. The visual estimation of the time series was carried out using the procedure for the restoration of phase trajectories. As a result of the analysis of the phase points of the phase space, a split attractor has been discovered, which makes it possible to talk about its bifurcation. As a result of the conducted studies, the annual cycle of changes in the specific electrical conductivity of the soil, and the cyclical changes in the yield of grain crops is 4–5 years. It was established that changes, in particular, climatic conditions and introduction of a system of differentiated approach to elementary areas of the field and implementation of the system of adaptation measures in relation to technologies of cultivation of agricultural crops, promote increase of specific conductivity of soil, increase of temperature in the conditions of Ukraine, increase the yield of modern hybrids of agricultural crops.