The Impact of Urban Networks on the Resilience of Northwestern Chinese Cities: A Node Centrality Perspective
Abstract
1. Introduction
2. Study Area and Data Sources
2.1. Study Area
2.2. Data Sources
3. Research Methods
3.1. Measurement Method of Urban Resilience
3.2. Methods of Constructing Urban Networks
3.2.1. Transportation Network
3.2.2. Information Network
3.2.3. Composite Urban Network
3.3. Model Selection
3.4. Variable Setting
3.4.1. Explained Variables
3.4.2. Explanatory Variables
3.4.3. Control Variables
4. Empirical Results and Analysis
4.1. Characteristics of Spatio-Temporal Evolution of Urban Resilience in Northwest China
4.1.1. Characteristics of Temporal Evolution of Urban Resilience
4.1.2. Characteristics of Spatial Evolution of Urban Resilience
4.2. Form and Characteristics of Urban Network in Northwest China
4.2.1. Overall Network Characterization
4.2.2. Individual Network Characterization
4.3. Impact of Urban Network on Urban Resilience in Northwest China
4.3.1. Descriptive Statistics of Variables
4.3.2. Multicollinearity Test
4.3.3. Benchmark Regression Results
4.3.4. Robustness Test and Endogeneity Treatment
5. Discussion
5.1. The Dual Effects of Network Centrality and Regional Resilience
5.2. Spatial Differentiation Patterns and Multi-Factor Driving Mechanisms
5.3. Theoretical Contributions and Limitations
6. Conclusions
Author Contributions
Funding
Data Availability Statement
Acknowledgments
Conflicts of Interest
Abbreviations
GDP | Gross Domestic Product |
NDVI | Normalized Difference Vegetation Index |
RV | Resilience Values |
SD | Standard Deviation |
OBS | Observation Sample Size |
VIF | Variance Inflation Factor |
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Data | Calculation Method | Reference |
---|---|---|
Industrial Structure Advancement Index | Output value of tertiary industry/output value of secondary industry | Fu L [48] |
Local Fiscal Self-Sufficiency Rate | Local general public budget revenue/local general public budget expenditure | Xie H [49] |
Foreign Trade Dependency Ratio | Total import and export/GDP | Fu J, etc. [50] |
Social Insurance Coverage Rate | (Number of urban workers enrolled in basic medical insurance + number of urban workers enrolled in basic pension insurance)/2/city’s resident population | Wang J [51] |
Objective Level | Criterion Level | Indicator Level | Unit | Attribute | Weighting Factor | ||
---|---|---|---|---|---|---|---|
Entropy Weight Method | CRITIC Method | Integrated Weighting | |||||
Urban Resilience | Economy | GDP per Capita | RMB | + | 0.0366 | 0.0237 | 0.0302 |
Industrial Structure Advancement Index | % | + | 0.0314 | 0.0393 | 0.0353 | ||
Rural–Urban Income Ratio | % | − | 0.0068 | 0.0291 | 0.0179 | ||
Per Capita Total Retail Sales of Consumer Goods | RMB | + | 0.0316 | 0.0293 | 0.0305 | ||
Local Fiscal Self-Sufficiency Rate | % | + | 0.0478 | 0.0445 | 0.0462 | ||
Foreign Trade Dependency Ratio | % | − | 0.0010 | 0.0237 | 0.0124 | ||
Per Capita Aggregate RMB Deposits in Financial Institutions | RMB | + | 0.0575 | 0.0192 | 0.0384 | ||
Digital Financial Inclusion Index | + | 0.0162 | 0.0374 | 0.0268 | |||
Social | College Students per 10,000 People | per 10,000 population | + | 0.0832 | 0.0369 | 0.0600 | |
Hospital Beds per 10,000 Population | per 10,000 inhabitants | + | 0.0173 | 0.0243 | 0.0208 | ||
Licensed Physicians per 10,000 Inhabitants | per 10,000 population | + | 0.0242 | 0.0228 | 0.0235 | ||
Crude Rate of Natural Increase | % | + | 0.0110 | 0.0420 | 0.0265 | ||
Public Administration Staff per 10,000 Residents | per 10,000 population | + | 0.0279 | 0.0276 | 0.0277 | ||
Average Wage of Employed Workers | RMB | + | 0.0155 | 0.0270 | 0.0213 | ||
Public Library Book Collections per 10,000 Capita | volumes per 10,000 capita | + | 0.0888 | 0.0218 | 0.0553 | ||
Social Insurance Coverage Rate | % | + | 0.0453 | 0.0313 | 0.0383 | ||
Ecology | Built-up Area Green Coverage | % | + | 0.0039 | 0.0248 | 0.0144 | |
Industrial SO2 Emissions | ton | − | 0.0019 | 0.0266 | 0.0143 | ||
Municipal Solid Waste Treatment Rate | % | + | 0.0011 | 0.0198 | 0.0105 | ||
Urban Sewage Treatment Rate | % | + | 0.0038 | 0.0323 | 0.0181 | ||
Per Capita Park Green Space | m2 | + | 0.0189 | 0.0223 | 0.0206 | ||
PM2.5 Concentration | − | 0.0051 | 0.0302 | 0.0177 | |||
NDVI | μg/m3 | + | 0.0378 | 0.0735 | 0.0556 | ||
Good Air Quality Days Ratio | % | + | 0.0033 | 0.0369 | 0.0201 | ||
Infrastructure | Per Capita Urban Road Area | m2 | + | 0.0281 | 0.0329 | 0.0305 | |
Public Buses per 10,000 Population | vehicles per 10,000 population | + | 0.0544 | 0.0305 | 0.0424 | ||
Broadband Internet Subscribers | 104 households | + | 0.0797 | 0.0214 | 0.0506 | ||
Drainage Pipeline Density (Built-up) | km/km2 | + | 0.0242 | 0.0322 | 0.0282 | ||
Natural Gas Coverage Rate | % | + | 0.0049 | 0.0323 | 0.0186 | ||
Year-end Mobile Subscribers | 104 households | + | 0.0055 | 0.0480 | 0.0268 | ||
Per Capita Daily Domestic Water Use | L | − | 0.0676 | 0.0297 | 0.0486 | ||
Per Capita Natural Gas Supply | 104 m3 | + | 0.1177 | 0.0267 | 0.0722 |
Weight (W) | 2011 | 2012 | 2013 | 2014 | 2015 | 2016 | 2017 | 2018 | 2019 | 2020 | 2021 | 2022 | 2023 |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Railroad Weight (WR) | 0.14 | 0.13 | 0.16 | 0.15 | 0.14 | 0.15 | 0.16 | 0.17 | 0.20 | 0.23 | 0.22 | 0.23 | 0.20 |
Highway Weight (WH) | 0.86 | 0.87 | 0.84 | 0.85 | 0.86 | 0.85 | 0.84 | 0.83 | 0.80 | 0.77 | 0.78 | 0.77 | 0.80 |
Indicator | Calculation Formula | Meaning of the Formula | Indicator Meaning |
---|---|---|---|
Degree Centrality | indicates the numerical value of the direct connection between node city i and node city j. | Reflects the direct connectivity of city nodes within the network. The higher the degree centrality, the more central the city is within the network, indicating stronger resource acquisition and information transmission capabilities. | |
Betweenness Centrality | is the number of shortest paths between nodes i and j. is the number of paths among these shortest paths that pass through node k. | Refers to the number of shortest paths between a node and other nodes in a network, reflecting the node’s ability to act as an intermediary for information transmission in the network, regarded as “control capability.” | |
Closeness Centrality | is the shortest path between node i and node j. | Represents the average shortest path length from a node to other nodes, reflecting the node’s propagation capability. | |
City Network Power | represent the weight values of degree centrality, betweenness centrality, and closeness centrality, respectively. The study set up uses “.” | Reflects the control and influence of node cities within the entire economic network. Cities are interconnected, so cities can “influence” other cities, meaning that cities also possess “power” [39]. |
Year | Network Connectivity | Network Density | Network Centralization | Average Shortest Path |
---|---|---|---|---|
2011 | 1.00 | 0.26 | 0.78 | 1.74 |
2012 | 1.00 | 0.24 | 0.80 | 1.76 |
2013 | 1.00 | 0.23 | 0.81 | 1.77 |
2014 | 1.00 | 0.22 | 0.83 | 1.78 |
2015 | 1.00 | 0.23 | 0.82 | 1.77 |
2016 | 1.00 | 0.25 | 0.79 | 1.75 |
2017 | 1.00 | 0.24 | 0.81 | 1.76 |
2018 | 1.00 | 0.24 | 0.80 | 1.76 |
2019 | 1.00 | 0.25 | 0.80 | 1.75 |
2020 | 1.00 | 0.25 | 0.80 | 1.75 |
2021 | 1.00 | 0.26 | 0.79 | 1.74 |
2022 | 1.00 | 0.25 | 0.80 | 1.75 |
2023 | 1.00 | 0.23 | 0.81 | 1.77 |
Type of Variable | Variable Name | Variable Symbol | OBS | Mean | Median | SD | Minimum Value | Maximum Value |
---|---|---|---|---|---|---|---|---|
Explained Variables | urban resilience | Res | 429 | 0.315 | 0.301 | 0.076 | 0.164 | 0.563 |
Core Explanatory Variables | degree centrality | Degree | 429 | 7.828 | 6 | 6.993 | 1 | 32 |
Control Variables | financial development level | Fin | 429 | 2.951 | 2.451 | 1.47 | 1.047 | 14.43 |
urban economic density | Eco | 429 | 6.06 | 6.039 | 1.252 | 2.779 | 9.383 | |
population size | Pop | 429 | 5.156 | 5.375 | 0.805 | 3.149 | 7.176 | |
government governance level | Gov | 429 | 0.297 | 0.257 | 0.16 | 0.071 | 0.872 | |
urbanization rate of the resident population | Urb | 429 | 0.559 | 0.513 | 0.194 | 0.196 | 0.99 | |
informatization level | Inf | 429 | 0.025 | 0.021 | 0.021 | 0.004 | 0.26 | |
per capita water supply capacity | Wat | 429 | 2.98 | 2.892 | 1.213 | −0.338 | 6.202 |
Variables | VIF | 1/VIF |
---|---|---|
Degree | 3.16 | 0.317 |
Fin | 2.67 | 0.374 |
Eco | 3.02 | 0.331 |
Pop | 4.56 | 0.219 |
Gov | 3.23 | 0.31 |
Urb | 7.6 | 0.132 |
Inf | 1.3 | 0.769 |
Wat | 6.07 | 0.165 |
Mean VIF | VIF | 3.95 |
Model 1 | Model 2 | Model 3 | Model 4 | Model 5 | Model 6 | |
---|---|---|---|---|---|---|
Degree | 0.002 *** (0.000) | 0.000 *** (0.000) | 5.046 *** (1.068) | 0.027 *** (0.006) | 0.001 * (0.000) | 0.001 * (0.000) |
Fin | 0.002 ** (0.001) | 0.001 (0.001) | 0.002 * (0.001) | 0.002 * (0.001) | 0.016 *** (0.002) | 0.001 (0.001) |
Eco | 0.020 *** (0.006) | 0.022 *** (0.006) | 0.020 *** (0.006) | 0.020 *** (0.006) | 0.016 ** (0.006) | 0.009 (0.006) |
Pop | −0.083 *** (0.006) | −0.080 *** (0.006) | −0.084 *** (0.006) | −0.083 *** (0.006) | −0.053 *** (0.018) | −0.075 *** (0.008) |
Gov | 0.024 (0.021) | 0.025 (0.021) | 0.022 (0.020) | 0.023 (0.020) | −0.025 (0.024) | 0.001 (0.019) |
Urb | −0.018 (0.014) | −0.020 (0.014) | −0.018 (0.014) | −0.018 (0.014) | −0.031 ** (0.013) | 0.007 (0.014) |
Inf | 0.106 *** (0.032) | 0.110 *** (0.032) | 0.107 *** (0.032) | 0.107 *** (0.032) | −0.006 (0.068) | 0.116 *** (0.030) |
Wat | −0.005 ** (0.002) | −0.005 ** (0.002) | −0.005 ** (0.002) | −0.005 ** (0.002) | −0.005 * (0.003) | −0.003 (0.002) |
_cons | 0.562 *** (0.051) | 0.550 *** (0.052) | 0.489 *** (0.053) | 0.562 *** (0.051) | 0.424 *** (0.102) | 0.559 *** (0.054) |
OBS | 429 | 429 | 429 | 429 | 264 | 377 |
city | YES | YES | YES | YES | YES | YES |
year | YES | YES | YES | YES | YES | YES |
R2 | 0.928 | 0.927 | 0.929 | 0.929 | 0.911 | 0.940 |
Variables | First Stage | Second Stage |
---|---|---|
Degree | 0.4976 *** (10.4279) | |
IV | 0.0021 ** (2.3249) | |
Control Variables | control | control |
Anderson canon. corr. LM | 95.113 *** | |
Cragg–Donald Wald F | 108.741 [16.380] | |
OBS | 396 | 396 |
city | Yes | Yes |
year | Yes | Yes |
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Share and Cite
Wang, X.; Zhang, Y.; Abulizi, A.; Dang, L. The Impact of Urban Networks on the Resilience of Northwestern Chinese Cities: A Node Centrality Perspective. Urban Sci. 2025, 9, 338. https://doi.org/10.3390/urbansci9090338
Wang X, Zhang Y, Abulizi A, Dang L. The Impact of Urban Networks on the Resilience of Northwestern Chinese Cities: A Node Centrality Perspective. Urban Science. 2025; 9(9):338. https://doi.org/10.3390/urbansci9090338
Chicago/Turabian StyleWang, Xiaoqing, Yongfu Zhang, Abudukeyimu Abulizi, and Lingzhi Dang. 2025. "The Impact of Urban Networks on the Resilience of Northwestern Chinese Cities: A Node Centrality Perspective" Urban Science 9, no. 9: 338. https://doi.org/10.3390/urbansci9090338
APA StyleWang, X., Zhang, Y., Abulizi, A., & Dang, L. (2025). The Impact of Urban Networks on the Resilience of Northwestern Chinese Cities: A Node Centrality Perspective. Urban Science, 9(9), 338. https://doi.org/10.3390/urbansci9090338