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Journal of Chinese
            Architecture and Urbanism                                               Spatial network analysis of hutongs



                                                                 Finally, the number 1 represents a single node with a
                                                               spatial depth exceeding three steps from the origin point,
                                                               marked in green in Figure 7. This constitutes 3.4 percent
                                                               of the total number of nodes, excluding the origin point.
                                                                 The final row of Table 4 summarizes the total number
                                                               of nodes at various depth values across all areas. For
                                                               example, the number 307 represents the total number
                                                               of nodes located at a depth of one step from the origin
                                                               point across all areas, while the number 948 indicates
                                                               the total number of nodes, excluding the origin point.
                                                               The percentage reflects the proportion of nodes at a
                                                               specific  depth  relative to the total number  of  nodes,
                                                               excluding the origin across all areas. For instance, 32.4
                                                               percent represents the proportion of nodes at a 1-step
                                                               depth (307 nodes) compared to all nodes excluding the
                                                               origin (948 nodes).
                                                                 The results of the spatial depth value analysis (Table 4)
                                                               show that the hutong system has evolved into a network
                                                               structure consisting of 948 nodes, composing links and
                                                               nodes. Among these, 796 nodes are located within a
            Figure 5. Distribution of landmark roads in Dongcheng district, Beijing,   spatial depth of three steps or less from the landmark
            China, in the 18  century. Source: Drawing by the authors  road,  accounting  for  84  percent  of  the  total  number  of
                      th
                                                               nodes. In contrast, 152 nodes have a spatial depth greater
                                                               than three steps from the landmark road, accounting
               Figure 5 illustrates the distribution of landmark roads   for 16 percent of the total number of nodes. This result
            within the study area, while  Table  4 provides spatial   indicates that over 80 percent of the hutong intersections
            depth data for the nodes in each area. Figure 6 visualizes   in Dongcheng district, Beijing, China, in the 18  century
                                                                                                      th
            these depth values for the hutong system. To explain the   exhibited high accessibility.
            data in Table 4, we use Area A15 as an example, with its
            visualization shown in Figure 7.                      Upon examining the distribution map of landmark
                                                               roads in Dongcheng district, Beijing, from the 18  century
                                                                                                      th
               In Table 4, the number 29 for Area A15 represents   (Figure  5) and the spatial depth value analysis results
            the total number of nodes in the area, excluding the   (Table  4), it becomes evident that landmark roads divide
            origin point on the landmark road (indicated by the   Dongcheng district into 27 regions. In 20 of these regions,
            black node in Figure 7). The number 12 signifies that 12   over 80 percent of the nodes have a spatial depth of < 3 steps
            nodes have a spatial depth of one step from the origin   from  landmark  roads. However, in  regions  A2, A3, A21,
            point. These nodes are marked in red in Figure 7. The   A22, and A24, fewer than 70 percent of the nodes meet this
            value of 41.4 percent reflects the proportion of these   criterion (Figure 8). These findings indicate that most of the
            nodes relative to the total number of nodes, excluding   27 regions exhibit excellent accessibility to landmark roads,
            the origin point.                                  revealing a clear spatial connectivity pattern between the
              The number 23 indicates that 23 nodes have a spatial   hutong system and landmark roads in Dongcheng district in
            depth of two steps or less from the origin point, including   the 18  century.
                                                                    th
            those with depth values of 1 and 2. Nodes with a depth of   The spatial depth value analysis (Table 4) also reveals
            two steps are highlighted in yellow in Figure 7, and 79.3   the  accessibility  challenges  in  Areas  A2, A3,  A21,  A22,
            percent reflects their proportion relative to the total node   and A24, where the proportion of nodes with a spatial
            count, excluding the origin point.                 depth value of < 3 steps to landmark roads is 67 percent,
              The number 28 represents the nodes within a spatial   67.2 percent, 54.3 percent, 68.1 percent, and 69.4 percent,
            depth of three steps or less from the origin point,   respectively.  Although  more  than  half  of  the  nodes
            encompassing depths one, two, and three steps. Nodes with   in these areas meet this criterion, their accessibility is
            a depth of three steps are marked in orange in Figure 7, and   comparatively lower than in other areas. These five areas
            96.6 percent reflects their proportion relative to the total   also have a relatively high total number of nodes, with 94,
            node count, excluding the origin point.            61, 70, 47, and 36 nodes, respectively, indicating a greater


            Volume 7 Issue 2 (2025)                         7                        https://doi.org/10.36922/jcau.4608
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