Deviation Degree between Ideal and Real Domain Transition Probabilities in Resource Circulation Considering the Production Synchronization Ratio

Abstract

The ideal state for achieving smooth resource circulation on Earth is achieved when the intake, expulsion, and natural purification rates (three-element) are equal. In this research, we propose the four-element deviation degree, which combines the three-element deviation degree with the synchronization deviation degree, by considering the deviation degree of the synchronization between production and sales in corporate activities. We use a domain transition probability model for resource circulation, and based on this model, we investigate the three-element deviation degree to evaluate the deviation degrees of these three elements in ideal and real situations quantitatively. Further, we conduct a quantitative discussion of the gap between the ideal and real situations in the four domain transitions, including corporate activities, by considering the four-element model. We considered simple numerical examples of the current state (t = 0) vector (initial state vector) and the domain transition probability matrix and simulated the resource circulation. Each simulation indicated the effect of slow natural purification from the waste domain to the resource domain in the natural space. Unlike previous studies based on input-output analyses, the proposed model, which can describe the circulation of natural and social spaces, considers the time course of natural purification. We believe that the proposed model is more realistic than the previous ones and is more suitable to describe the real society.