Research on the Identification and Spatiotemporal Evolution of China’s Urban Life Cycle: From the Perspective of Organic Entities
Abstract
1. Introduction
2. Literature Review
3. Theoretical Connotation and Construction of Evaluation System
3.1. Theoretical Connotation
3.2. Construction of the Evaluation System
4. Evaluation Process of Urban Development Stages
4.1. Initial Identification of Development Stages Based on Fuzzy Comprehensive Evaluation
4.2. Calibration of Development Stages via Bi-Level K-Means Clustering
4.3. Steady-State Correction of Development Stages
5. Evaluation Results and Their Spatiotemporal Differences
5.1. National Level
5.2. Regional Level
6. Discussion
7. Conclusions and Policy Recommendations
7.1. Research Conclusions
7.2. Policy Recommendations
Author Contributions
Funding
Data Availability Statement
Conflicts of Interest
References
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| Target Layer | Primary Indicator | Secondary Indicator | Unit | Core Connotation | Impact Direction |
|---|---|---|---|---|---|
| Urban Development Stage | Spatial Carrying Capacity | Population Density | Person/square kilometer | Measure the intensity of land use and urban carrying pressure | + |
| Proportion of Built-up Area | % | Reflect the speed of urban expansion and intensity of spatial development | + | ||
| Population Development | Urbanization Rate | % | Reflect the degree of population agglomeration to cities, an important symbol of modernization | + | |
| Permanent Resident Population | 10,000 persons | Characterize the urban scale and population carrying capacity | + | ||
| Aging Degree | % | Reflect the change of population structure, posing challenges to labor supply and social security | − | ||
| Social Service Capacity | Number of Hospital Beds | Unit | Measure the supply capacity of medical resources | + | |
| Number of Urban Centers | Unit | Reflect the improvement and balance of urban public service functions | + | ||
| Highway Passenger Volume | 10,000 person-times | Reflect the level of transportation infrastructure and travel convenience of residents | + | ||
| Industrial Momentum | Proportion of Secondary Industry | % | Measure the level of industrialization and the status of manufacturing industry | + | |
| Proportion of Tertiary Industry | % | Reflect the development level of the service industry and the direction of transformation and upgrading | + | ||
| Number of Patent Authorizations | Unit | Characterize the innovation capacity and technological activity of the industry | + | ||
| Number of Industrial Enterprises above Designated Size | Unit | Reflect the industrial scale and agglomeration degree of enterprises | + | ||
| Total Profits of Industrial Enterprises above Designated Size | 100 million yuan | Measure industrial benefits and market competitiveness | + | ||
| Economic Vitality | GDP Scale | 100 million yuan | Measure the total urban economic output, the core basic indicator of development stage | + | |
| GDP Growth Rate | % | Reflect the speed and potential of economic growth, reveal the development momentum | + | ||
| Per Capita GDP | 10,000 yuan | Reflect the development quality and per capita wealth level of residents | + | ||
| Total Imports and Exports | 100 million yuan | Measure the level of opening-up and international competitiveness | + | ||
| Total Retail Sales of Consumer Goods | 100 million yuan | Reflect the scale of the consumer market and the pulling power of domestic demand | + | ||
| Local General Public Budget Expenditure | 100 million yuan | Demonstrate the financial strength and public service guarantee capacity | + |
| Primary Indicator | Indicator | Low | Medium | High |
|---|---|---|---|---|
| Spatial Carrying Capacity | Population Density (Person/square kilometer) | <173.54 | 173.54~512.25 | >512.25 |
| Proportion of Built-up Area (%) | <0.93 | 0.93~5 | >5 | |
| Population Development | Urbanization Rate (%) | <34.2 | 34.2~76.1 | >76.1 |
| Permanent Resident Population (10,000 persons) | <236 | 236~662.67 | >662.67 | |
| Aging Degree (%) | >6.69 | 6.69~15.71 | <15.71 | |
| Social Service Capacity | Number of Hospital Beds (Unit) | <10,722 | 10,722~29,608 | >29,608 |
| Number of Urban Centers (Unit) | <3 | 3~7 | >7 | |
| Highway Passenger Volume (10,000 person-times) | <2143.45 | 2143.45~10,028.2 | >10,028.2 | |
| Industrial Momentum | Proportion of Secondary Industry (%) | Tertiary share < Secondary share and Secondary share < 45% | Secondary share ≥ 45% | Tertiary share > Secondary share |
| Proportion of Tertiary Industry (%) | ||||
| Number of Patent Authorizations (Unit) | <3357 | 3357~10,033 | >10,033 | |
| Number of Industrial Enterprises above Designated Size (Unit) | <690.02 | 690.02~2030.04 | >2030.04 | |
| Total Profits of Industrial Enterprises above Designated Size (100 million yuan) | <17.92 | 17.92~427.13 | >427.13 | |
| Economic Vitality | GDP (100 million yuan) | <1354.37 | 1354.37~10,000 | >10,000 |
| GDP Growth Rate (%) | <4 | 4~15 | >15 | |
| Per Capita GDP (10,000 yuan) | <2.67 | 2.67~10.93 | >10.93 | |
| Total Imports and Exports (100 million yuan) | <261.28 | 261.28~1554.83 | >1554.83 | |
| Total Retail Sales of Consumer Goods (100 million yuan) | <521.13 | 521.13~1527.38 | >1527.38 | |
| Local General Public Budget Expenditure (100 million yuan) | <132 | 132~212.12 | >212.12 |
| Test Indicator | Tercile Method | Jenks Natural Breaks |
|---|---|---|
| Adjacent-stage agreement rate (difference <= 1) | 92.99% | 91.39% |
| Kappa coefficient | 0.741 | 0.559 |
| Weighted Kappa (linear weights) | 0.799 | 0.695 |
| Validation Item | Key Result | Interpretation |
|---|---|---|
| Elbow method | SSE reduction remains large from K = 2 to K = 3 (24.3%) and slows from K = 3 to K = 4 (16.3%). | K = 3 retains major structure while avoiding unnecessary fragmentation. |
| Silhouette coefficient | K = 3 reaches 0.2896; K >= 4 does not improve compactness. | Although K = 2 is coarser and slightly higher, K = 3 better captures intermediate stage differences. |
| Gap Statistic | Gap increases from 0.7029 at K = 2 to 0.8435 at K = 3. | K = 3 is supported as the minimum reasonable cluster number under the study’s theoretical design. |
| Cluster-size distribution | At K = 3, cluster sizes remain balanced; at K = 5, the smallest cluster contains only 8.4% of cities. | K = 3 improves interpretability and policy operability. |
| Initial-seed sensitivity | For K = 3, mean ARI = 0.8571 across 100 random seeds. | The clustering result is relatively stable under random initialization. |
| Subsample stability | For K = 3, the 90% random-subsample test yields mean ARI = 0.9177 (SD = 0.0683). | The identified cluster structure is robust to moderate sample perturbation. |
| Category | Economic Vitality | Industrial Momentum | Social Service Capacity | Population Development | Spatial Carrying Capacity |
|---|---|---|---|---|---|
| 1 | 1.755 | 1.890 | 2.051 | 1.974 | 1.470 |
| 2 | 1.366 | 1.519 | 1.540 | 1.673 | 1.187 |
| 3 | 2.304 | 2.638 | 2.328 | 2.373 | 2.326 |
| Development Level | Category | Scale | Structure | Speed | ||||
|---|---|---|---|---|---|---|---|---|
| GDP (100 Million) | Per Capita GDP (10,000) | Permanent Resident Population (10,000 Persons) | Proportion of Tertiary Industry (%) | Urbanization Rate (%) | Aging Degree (%) | GDP Growth Rate | ||
| High | 1 | 10487.34 | 37.91 | 947.30 | 55.15 | 94.38 | 5.20 | 10.09 |
| 2 | 5845.34 | 8.47 | 741.84 | 48.54 | 69.01 | 11.94 | 8.20 | |
| 3 | 22,308.52 | 13.44 | 1817.05 | 64.47 | 84.38 | 11.95 | 6.16 | |
| Medium | 1 | 1657.71 | 3.33 | 537.83 | 35.52 | 45.83 | 10.17 | 11.20 |
| 2 | 2724.22 | 8.63 | 338.40 | 45.06 | 67.26 | 12.15 | 7.36 | |
| 3 | 2257.95 | 5.08 | 460.73 | 46.60 | 54.11 | 14.82 | 5.64 | |
| Low | 1 | 1034.87 | 8.22 | 143.38 | 36.51 | 70.72 | 10.89 | 8.45 |
| 2 | 900.78 | 4.28 | 222.55 | 46.52 | 54.22 | 14.12 | 4.42 | |
| 3 | 664.76 | 2.47 | 296.46 | 34.24 | 41.02 | 9.10 | 12.44 | |
| Initial Stage | Growth Stage | Maturity Stage | Decline Stage | Transition Stage | |
|---|---|---|---|---|---|
| Eastern Region | 0.0% | 61.6% | 11.6% | 5.8% | 20.9% |
| Central Region | 0.0% | 30.0% | 3.8% | 20.0% | 46.3% |
| Western Region | 7.0% | 39.5% | 3.5% | 27.9% | 22.1% |
| Northeast Region | 0.0% | 14.7% | 0.0% | 73.5% | 11.8% |
| Southern Region | 3.9% | 43.2% | 7.1% | 13.5% | 32.3% |
| Northern Region | 0.0% | 37.4% | 3.8% | 37.4% | 21.4% |
| Urban Agglomeration | Initial Stage | Growth Stage | Maturity Stage | Decline Stage | Transition Stage |
|---|---|---|---|---|---|
| Yangtze River Delta Urban Agglomeration | 0.0% | 63.0% | 18.5% | 7.4% | 11.1% |
| Beijing–Tianjin–Hebei Urban Agglomeration | 0.0% | 38.5% | 15.4% | 7.7% | 38.5% |
| Pearl River Delta Urban Agglomeration | 0.0% | 77.8% | 22.2% | 0.0% | 0.0% |
| Middle Reaches of the Yangtze River Urban Agglomeration | 0.0% | 40.7% | 7.4% | 11.1% | 40.7% |
| Chengdu–Chongqing Economic Circle | 0.0% | 12.5% | 12.5% | 6.3% | 68.8% |
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Yuan, X.; Liu, S.; Li, Z.; Jiang, H. Research on the Identification and Spatiotemporal Evolution of China’s Urban Life Cycle: From the Perspective of Organic Entities. Land 2026, 15, 875. https://doi.org/10.3390/land15050875
Yuan X, Liu S, Li Z, Jiang H. Research on the Identification and Spatiotemporal Evolution of China’s Urban Life Cycle: From the Perspective of Organic Entities. Land. 2026; 15(5):875. https://doi.org/10.3390/land15050875
Chicago/Turabian StyleYuan, Xiaoling, Shuiting Liu, Zhaopeng Li, and Hao Jiang. 2026. "Research on the Identification and Spatiotemporal Evolution of China’s Urban Life Cycle: From the Perspective of Organic Entities" Land 15, no. 5: 875. https://doi.org/10.3390/land15050875
APA StyleYuan, X., Liu, S., Li, Z., & Jiang, H. (2026). Research on the Identification and Spatiotemporal Evolution of China’s Urban Life Cycle: From the Perspective of Organic Entities. Land, 15(5), 875. https://doi.org/10.3390/land15050875

