Determining joint distribution of homes and workplaces based on the random utility theory

The purpose of this paper is to present the theoretical background for the formation of joint distributions of homes and workplaces in cities. In order to get residence density distributions, we first formulate a locational choice of households using the random utility theory. Setting utility functions appropriately, we have analytically derived the Clark's model and the Sherratt–Tanner's model. Next, we provide a new model that determines residence density distributions and workplace density distributions simultaneously. Since the model considers the avoidance of crowding, we have reproduced the “density crater” that is often seen in a large city. Finally, we apply the model to Tokyo metropolitan area and examine the validity of the model.