2023 Volume 79 Issue 9 Article ID: 23-00091
This study develops a quantitative urban model based on Fujita and Ogawa (1982) that considers traffic congestion. To this end, we show the existence of a potential function in the developed model and present an efficient numerical analysis method using the properties of the potential function. We then show that the model can explain the endogenous formation of polycentric urban configurations by analyzing the developed model in a two-dimensional lattice space. Furthermore, through an example analysis of the Kanazawa urban employment area, which consists of 1, 656 districts and 110, 000 links, it is shown that the model can efficiently perform calculations for complex road networks.