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Journal of Chinese
            Architecture and Urbanism                                               Spatial network analysis of hutongs



            other spaces from a particular location within the system   in the Qianlong Jingcheng Quantu into a network of links
            (Hillier, 2008). For example, in a typical urban layout, a turn   and nodes. In this abstract model, roads are represented as
            represents a decision point at an intersection, while a node   links, while intersections are depicted as nodes. Notably,
            denotes specific places such as entrances or junctions. Within   these links exclude physical attributes such as road width
            this theoretical framework, accessibility is assessed based on   and direction,  focusing  on connectivity  and network
            the number of turns needed to reach another space. Fewer   structure.
            turns indicate higher accessibility.
                                                                 Observation reveals that the road network of
              In a network composed of nodes and links, the depth   18 -century Beijing comprised wide, straight avenues and
                                                                 th
            value of a node is defined as the number of nodes that must   narrow, winding, irregularly arranged alleys. The broader,
            be traversed to reach other nodes in the network. A smaller   straighter streets were typically named “Avenue,” “Street,”
            depth value, indicating fewer nodes to be passed through,   or “Small Street,” reflecting a specific street hierarchy.
            suggests higher accessibility. Conversely, a larger depth value   Avenues were approximately 37  m wide, while smaller
            implies lower accessibility, as more nodes must be traversed.  streets measured approximately 18.5 m wide (Lu & Baik ,
              Numerous studies have shown that human spatial   2020). In contrast, the narrower and more irregular paths
            cognitive abilities significantly decline after three directional   were referred to as “Hutong.” Based on the previously
            changes, a finding that shapes our methodological approach   outlined  characteristics,  landmark  roads  were  identified
            (Guo & Wang, 2012; Lu, 2013). According to spatial syntax   as those with sufficient width, high continuity, and clear
            theory, the farthest distance humans can effectively perceive   directionality. Therefore, this study designates the wide,
            while navigating a space is known as the “three-step spatial   straight streets depicted in the Qianlong Jingcheng Quantu
            depth.” This theoretical framework supports the use of the   as landmark roads (Table 1). Moreover, determining the
            “3-step spatial depth” metric as a standard tool in research   names and widths of streets distributed along the city walls
            to evaluate levels of spatial accessibility. From a spatial   presented challenges. However, the alignment of these
            cognition perspective, the “three-step spatial depth” metric   streets with the remains of the city walls provides evidence
            effectively captures the limitations of human perception   of their excellent transportation functionality and clear
            and cognition in complex environments. It also provides   directionality. Therefore, the streets distributed along the
            a quantifiable measure  to evaluate how  environmental   city walls were also included in the selection of landmark
            layouts affect human navigational efficiency and spatial   roads (Figure 2).
            orientation. By applying this metric to the hutong area and
            landmark roads, we can identify which parts of the network   4. Calculation and evaluation of spatial
            facilitate easy navigation and which may pose cognitive   network analysis index
            challenges to pedestrians, offering insights to guide urban   In a network of links and nodes, this study explores the
            design improvements.                               relationship between the hutong system and landmark
              When the spatial depth value stays within a three-step   roads by measuring the spatial depth between nodes in the
            range, it indicates higher accessibility. Conversely, values   hutong area and those on landmark roads.
            exceeding the three-step range indicate lower accessibility.   To assess accessibility, this study used the “3-step spatial
            Therefore, this study adopts the “three-step spatial depth”   depth” as the benchmark for determining the adequacy of
            metric as a measure of spatial accessibility.      access within the hutong system. In addition, to evaluate
              The fourth phase involves calculating the regional   the overall accessibility of the hutong area, the number of
            accessibility index. This step entails computing the spatial   nodes that can reach landmark roads within a spatial depth
            depth value for each node within the targeted area relative   of three steps or fewer was counted. A  higher number
            to the landmark roads. The overall accessibility level of   of accessible nodes indicate better accessibility within
            the area is assessed by counting the number of nodes with   the hutong area, while a lower count suggests poorer
            a spatial depth value of < 3 steps. This analysis reveals   accessibility. Based on these accessibility levels, the spatial
            whether a consistent spatial organizational relationship   connectivity between the hutong system and landmark
            exists between the hutong area and the landmark road.  roads was examined to identify inherent regularities.
            3. Abstraction of the road system                  The evaluation involved the following steps:
            and selection of landmark roads in                 (i)  Spatial depth values between nodes were calculated
                                                                  using AutoCAD software and a self-developed
            18th-century Beijing                                  application. Due to the large number of nodes, a
            To effectively study Beijing’s road system in the 18    computational program  was created  to handle  the
                                                         th
            century, this research abstracts the road network depicted   calculations. The process is illustrated in Figure 3.

            Volume 7 Issue 2 (2025)                         4                        https://doi.org/10.36922/jcau.4608
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