Optimal Distribution of City Sizes in a Region
- 1 January 1982
- journal article
- research article
- Published by SAGE Publications in Environment and Planning A: Economy and Space
- Vol. 14 (1) , 21-32
- https://doi.org/10.1068/a140021
Abstract
First, an optimal spatial distribution model is proposed of population sizes in a country. The objective function to be examined consists of the amount of interaction benefit which is formulated by means of accessibility, and the amount of intraaction congestion cost which is measured by means of population density. Second, the optimal population distribution is obtained by use of this optimization model, and the necessary and sufficient conditions for the optimal solution is given. Third, based upon the data analysis of population distribution in Japanese prefectures in 1975, it is shown that the Japanese population is undergoing suburbanization and that this leads to the optimal population distribution. Last, this model is used to obtain and analyze the optimal grid system population distribution of the Tokyo Metropolitan Area.Keywords
This publication has 5 references indexed in Scilit:
- An expected rank-size rule: A theoretical relationship between the rank size rule and city size distributionsRegional Science and Urban Economics, 1979
- ON THE RANDOM DISTANCE WITHIN AN AREAJournal of the Operations Research Society of Japan, 1978
- THE RANDOM SPATIAL ECONOMY: AN EXPLORATION IN SETTLEMENT THEORYAnnals of the American Association of Geographers, 1964
- City Hierarchies and the Distribution of City SizeEconomic Development and Cultural Change, 1958
- ON A CLASS OF SKEW DISTRIBUTION FUNCTIONSBiometrika, 1955