INTER-LEVEL SUBSTITUTION – THE CANONICAL FORM OF THE INTER-LEVEL BALANCE
Urgency of the research. Inter-level substitution is the basis for the formation in the aggregate form of a model and sys-tem of indices of the inter-level balance, and the latter comprehensively assess the consequences of the control effect on the structured object and the effectiveness of the impact itself. Target setting. Existing evaluation methods do not take into account the factor of movement of object units from one level of the characteristic to another, which is why the structural analysis of the results of the impact is incomplete.Actual scientific researches and issues analysis. Inter-level substitution is a new concept. Earlier, the author proposed a model and a system of indices of inter-level balance, constructed only in the values of the number of object units at the level. Uninvestigated parts of general matters defining. The model of inter-level balance and a system of balance indicators, presented in aggregate form. The research objective. Formalization of the concept of “inter-level substitution” as a canonical form of the inter-level balance in the form of paired indicators of aggregated absolute balance of inter-level movement and inter-level turnover ofunits of a structured object. The statement of basic materials. The inter-level substitution of object units leads to level (extra-level) losses or to a level (extra-level) replenishment of the object based on the characteristic measured in these units in the relationship scale at a certain level (outside the level) in the “after” and “before” conditions of external impact. The overall result of the latter can be analytically represented as a generalized balance ratio. In the aggregate form, it is determined through the elemen-tary components of the balance, which are the number of displacements and the level values of the characteristic. Conclusions. The mathematical form of the inter-level substitution is the key in the formation of the inter-level balance model and the system of balance indicators of movement.