This study aims to calculate the betweenness centrality according to the slope of the three-dimensional street network by taking in the metabolic conversion distance. Furthermore it aims to grasp the importance of the streets that compose the network according to the tendency of human route selection.
Therefore, the four centralities are defined. as follows:
1)Betweenness Centrality;Number of Links：The route with the minimum number of links passing from any start point to any end point is defined as the shortest route. The evaluation value is the frequency that any link is passed on all the shortest routes.
2)Betweenness Centrality;Distance：Based on a two-dimensional map, the index is based on the distance between each street. The route with the minimum sum of the distances from any start point to any end point is defined as the shortest route, and the evaluation value is the frequency of passing through any link in all the shortest distance routes.
3)Betweenness Centrality;Slope：This centrality considers the slope of the street. The shortest route is defined as previously noted, and the evaluation value is the frequency passing through any link in all the smallest slopes routes.
4)Betweenness Centrality;Metabolism：This value in total considers the distance and slope in a three-dimensional street network. The route with the minimum sum of metabolic conversion distances from any start point to any end point is defined as the shortest route, and the evaluation value is the frequency of passing through any link in all of the shortest metabolic conversion distance routes.
These were applied to two simplified models and actual streets, and the method's effectiveness of the method was demonstrated.
First, based on Betweenness Centrality;Number of Links, using the number of links as an index, links in the center of the street network tend to be selected. Based on Betweenness Centrality;Distance, using the two-dimensional distance as an index, links having a short two-dimensional distance tend to be selected. Based on Betweenness Centrality;Slope, links with a small slope tend to be selected. Based on Betweenness Centrality;Metabolism, links with a short three-dimensional distance and a low slope tend to be selected. Therefore, it can be said that way finding Betweenness Centrality;Metabolism is valid in selecting a route to calculated the moving cost is calculated according to the distance and slope when a person moves.
Next, applying Betweenness Centrality;Metabolism to Chuo-ku, Kobe, the value of streets with relatively short distances and small slopes in the site became higher. Subsequently, it was shown that Betweenness Centrality;Metabolism is an index suitable for the current situation of Kobe.
Finally, the importance of the street was visualized using Betweenness Centrality;Metabolism, assuming the case of traveling around a spot or passing through a proposed street. A new important area was proposed by designating a street adjacent to the tourist attraction "Sorakuen". Those are useful in focusing on commerce and tourism planning.