Model Analysis for Formation of Population Distribution

Osamu Hirayama¹, Ryuji Takaki², Takeshi Koshizuka³ and Hiroshi Yanai⁴

¹Tokyo Metropolitan Agricultural High School, Kotobuki-cho 1-11, Fuchu, Tokyo 183-0056, Japan
²Faculty of Technology, Tokyo University of Agriculture and Technology, Nakamachi 2-24-16, Koganei, Tokyo 184-8588, Japan
³Department of Social Engineering, Tsukuba University, Tsukuba, Ibaraki 305-8573, Japan
⁴Faculty of Science and Technology, Keio University, Yokohama 223-8522, Japan

(Received September 8, 2000; Accepted February 5, 2001)

Keywords: Population Density Distribution, Railway Network, Traveling Time, Uncomfortableness

Abstract. A model analysis is made for a mechanism of formation of population distribution in case where travel times between two points are assumed to be given in two-dimensional space. Two factors are taken into consideration; one is the tendency that population gathers to the regions from which an average traveling time to other regions is smaller, another is the tendency to avoid the regions with high population density. Based upon this model population distributions were computed numerically in both cases without railroad and with railroad of various shapes.