Perspective on traditional village spatial order based on directed weighted networks: a case study of Banliang Village

Figures & data

Figure 1. Location Map of Banliang Village.

Figure 2. Satellite Image of Banliang Village (Caption: This satellite image of Banliang Village is provided by the Centre National d'Études Spatiales (CNES) and Airbus Group (Airbus). The image was captured on December 31, 2020. For presentation purposes, the image has been cropped and compressed).

Figure 3. Schematic Diagram of the Relationship between Spatial Form and Spatial Order in Traditional Villages.

Figure 4. Key Architectural Era Assessment Chart.

Table 1. Ranking of Building Node Centrality (Top 10% of Building Nodes by Each Centrality Metric).

Node	$C_w(o_i)$	Node	$C_w(i_i)$	Node	$C_w(d_i)$	Node	$C_w(e_i)$	Node	$C_w(b_i)$
96	25.098	83	22.987	96	47.522	96	0.215	102	0.169
133	24.065	96	22.424	83	47.029	97	0.207	99	0.168
83	24.041	133	22.322	133	46.387	92	0.206	72	0.159
251	23.974	97	22.301	97	45.929	83	0.2	212	0.116
97	23.629	141	22.041	128	43.767	95	0.198	147	0.115
134	23.583	267	21.350	134	43.606	133	0.198	144	0.106
128	23.234	92	20.908	95	42.442	84	0.193	73	0.104
95	22.516	140	20.791	84	42.360	86	0.193	214	0.096
239	22.430	84	20.644	86	42.110	134	0.179	52	0.084
129	22.395	128	20.534	129	41.939	85	0.173	30	0.083
86	22.196	270	20.414	149	40.759	137	0.173	234	0.079
149	21.779	155	20.329	154	40.633	94	0.164	297	0.079
252	21.734	134	20.024	85	40.146	82	0.163	241	0.078
84	21.716	95	19.926	82	39.282	93	0.163	182	0.076
154	21.691	86	19.914	151	39.240	89	0.159	213	0.076
151	21.421	129	19.544	98	39.215	136	0.151	319	0.075
137	21.215	238	19.186	137	39.031	98	0.15	248	0.075
85	21.203	98	19.182	157	38.984	90	0.149	126	0.072
142	20.749	271	19.095	142	38.705	81	0.146	123	0.069
268	20.570	157	19.041	179	37.555	88	0.143	131	0.067
82	20.287	269	19.028	153	37.351	135	0.141	40	0.066
266	20.208	82	18.995	227	37.228	140	0.139	34	0.064
179	20.203	149	18.980	126	36.872	127	0.134	217	0.063
201	20.174	85	18.943	127	36.836	132	0.132	220	0.056
94	20.109	154	18.942	150	36.814	128	0.132	320	0.056
153	20.105	223	18.271	94	36.770	138	0.126	119	0.055
98	20.033	272	18.106	201	36.650	141	0.118	146	0.054
227	20.012	111	18.092	223	36.541	91	0.115	321	0.054
157	19.943	142	17.955	111	36.184	129	0.113	157	0.053
136	19.505	104	17.881	135	35.976	126	0.105	210	0.049
150	19.397	151	17.819	104	35.763	130	0.104	221	0.048
127	19.355	137	17.817	148	35.671	131	0.1	121	0.044
192	19.337	126	17.581	89	35.144	125	0.099	124	0.044
139	19.321	127	17.481	180	35.140	80	0.099	167	0.043
126	19.291	106	17.477	139	35.083	124	0.098	154	0.041
148	19.252	150	17.417	156	35.051	122	0.094	307	0.037

Figure 5. Self-Network Graph of Nodes 96 (a) and 251 (b) in the Building Network Based on Weighted Degree Centrality.

Table 2. A Comparison of Connection Count and Average Self-Orientation Similarity Weight for Nodes 96 and 251 in the Building Network.

Node number	Number of connections	Average weight
96	29	0.865
251	26	0.922

Figure 6. Self-network Comparison Graphs for Building Nodes 85 and 154 Based on Eeighted Degree Centrality (a, b) and Weighted Eigenvector Centrality (c, d).

Figure 7. Spatial Distribution of High Centrality Building Nodes (Top 10%).

Table 3. Building Node Community Size, Proportion of Historic Buildings, and Average Directional Similarity.

Community	Building Node Count	Percentage	Number of Ming and Qing Dynasty Buildings	Proportion of Ming and Qing Buildings to Total Community Buildings	Average Directional Consistency Among Buildings Within the Community
Ⅰ	77	21.33%	54	70.13%	0.742
Ⅱ	46	12.74%	44	95.65%	0.788
Ⅲ	54	14.96%	44	81.48%	0.952
Ⅳ	56	15.51%	51	91.07%	0.773
Ⅴ	63	17.45%	24	38.1%	0.816
Ⅵ	25	6.93%	2	0.8%	0.833
Ⅶ	40	11.08%	0	0%	0.882
Modularity	0.681
Total Average Directional Similarity	0.821

Figure 8. Spatial Location Map of Building Node Communities (a) and Building Node Community Network Graph Based on Weighted Degree Centrality (b).

Figure 9. Spatial Location Map of Building Node Communities (a) and Building Node Community Network Graph Based on Weighted Eigenvector Centrality (b).

Figure 10. Spatial Location Map of Building Node Communities (a) and Building Node Community Network Graph Based on Weighted Betweenness Centrality (b).

Table 4. Number and Proportion of Nodes with High Weighted Betweenness Centrality within Communities.

Community	Number of Buildings in the Top 10% by Weighted Betweenness Centrality Ranking	Proportion of Buildings in the Top 10% by Weighted Betweenness Centrality Ranking
Ⅰ	3	8.3%
Ⅱ	4	11.0%
Ⅲ	7	19.4%
Ⅳ	14	39.0%
Ⅴ	7	19.4%
Ⅵ	1	2.8%
Ⅶ	0	0％
Total	36	100％

Data availability statement

The high-resolution satellite imagery data utilized in the empirical study, along with the Python code for extracting directional information between buildings, calculating the shortest edge distance between buildings, and constructing the directed weighted matrix, can be downloaded from Figshare at https://figshare.com/s/9c95aa99c13b73ab72da. Please note that the planning documents cannot be shared due to confidentiality constraints.