The study of patterns of the formation of ear productivity depending on the content of potentially bioavailable Fe, Mn, Zn, Cu in the soil, the stochastic formalization of such patterns are important for a more profound understanding of the conceptual and mechanistic aspects of the dependence of yield development on the levels of nutrient supply of winter wheat under the conditions of environmentally friendly fertilization systems. The purpose of this study was to find statistically significant interdependencies, significant and relevant univariate or multivariate regression equations of the dependence of the mass of grains of ear-1 of winter wheat on the content of potentially bioavailable Fe, Mn, Zn, Cu in the soil, arguments and explanations of such subordinations under the conditions of environmentally friendly fertilization systems. The following methods were used in the study: field, laboratoryanalytical, mass-spectrometric, mathematical-statistical (Student’s t-test, ANOVA, correlational, single- and multivariate regression analyses). The applied green fertilization systems based on pea straw or pea straw + N30P45K45, or N60P90K90, only N60P90K90 caused an increase in the weight of grains of one ear of winter wheat, the content of mobile forms of Fe, Mn, Zn, Cu in the grey forest soil under this culture (earing phase), compared to the control (without fertilizers). Substantial and significant Pearson correlation coefficients between the mass of grains of an ear of wheat and the content of mobile Fe, Mn, Zn, Cu in the soil, the corresponding contents of Mn and Zn, Cu and Zn, as well as the coefficients of partial correlation of the mass of grains of ear-1 of wheat – Cu, Mn – Zn testified to the complex structure of interdependencies between the traits under study. Reliable, relevant single- and multifactorial regression dependences of the mass of grains of ear-1 on linear combinations of products of independent variables (the content of mobile Fe, Mn, Zn, Cu in the soil) and/or such variables in indicators of natural powers 2-4 (fragments of the Kolmogorov-Gabor polynomial) were found. The coverage of regularities in the formation of the productivity of the ear of winter wheat depending on the content of potentially bioavailable microelements in the soil under the conditions of environmentally friendly fertilization systems will enable the theoretical substantiation and development of the latest strategies of mineral and ecological engineering of agricultural systems to maintain prominent levels and biological safety of the harvest of the specified crop
