In this study, we propose a new analytical model to estimate the elements of the “environment-responsive matrix” proposed in the past study(Kwon, Yamashita, 2018). The proposed model in this study is an analytical model that estimates the environment-responsive matrix required to realize the numerical values given an environmental target vector. The matrix quantitatively shows how much environmental correspondence(3R activity and artificial purification)is required. Furthermore, the elements of the environment-responsive matrix(anthropogenic purification ratio, reduce ratio, recycling ratio, and reuse ratio)are estimated by the proposed model, based on the simple numerical examples of the environmental target vector and the domain transition probability matrix. Then the validity and effectiveness of the proposed model are examined from the results of the above analysis.