On Two Mathematical Models and Their Appli-cations for the Estmation of Population

산業社會의 人口移動推定을 위한 數理模型의 適용: 특히 1975년도 Census人口에 立脚한 將來人口推計

This study aims to find out a suitable mathematical models for the estimation of population size and improve it for the estimation of social increase of population at urban areas. This study shows that Model (I) is obtained by the generalization of Kabak's Wild Life Management Model together with some other useful results as follows: a) By the transition matrix P, it is known that the interregional migrations have shown greater rise than those of five years ago. b) The invariant population vector $\alpha$ predicts that the Kyonggi area will have a share of 48%, the Choongcheong area of 10%, the Honam area of 12%, and the Youngnam area of 17% of the total population of Korea. c) The estimated population of the Special City of Seoul (Metropolitan) will be above ten millon in 1983. d) The estimated optmum population of Korea will be 53,850,000 in 2000 A.D.