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id ddss9458
authors Kurose, Shigeyuki and Hagishima, Satoshi
year 1994
title A Comparative Analysis of the Road Networks of Premodern Citiesby Using the First Eigenvector of the Transition Matrix
source Second Design and Decision Support Systems in Architecture & Urban Planning (Vaals, the Netherlands), August 15-19, 1994
summary The purpose of this paper is to propose and test a method for comparing road networks from the view point of pedestrian flows. We constructed a type of spatial interaction model where the shopping trip distributions were determined using a partially doubly-constrained type of model. The method for comparing the road networks is based on this model. The method is as follows. The road networks are represented by nodes and links. Then, P, the probability for a pedestrian to move from node i to nodej is expressed by the following equation: Pij = Wj exp (- ▀cij) / Wj exp (-▀ Cij)where Cij is the distance between node i and j, W, is a measure of attraction of node), and beta is the distance-decay parameter. We proved that V., the first eigenvector of transition matrix, (Pij), indicates the ratio of pedestrian flows at node i at a steady-state condition. By using the first eigenvector of the transition matrix, road networks can be compared. In this paper, a general method for calculating the first eigenvectors of transition matrices will be described and several road networks of premodern cities in Europe, Middle East and Japan will be compared. The results indicate that the method of comparing pedestrian road networks by using the first eigenvector of the transition matrix is useful.
series DDSS
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last changed 2003/08/07 14:36
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