Ecological Priority-Oriented Performance Evaluation of Land Use Functions and Zoning Governance by Entropy–Catastrophe Progression Model
Abstract
1. Introduction
2. Methods and Data
2.1. Study Methods
2.1.1. The Analytical Framework
2.1.2. Development of a Performance Evaluation Index System
2.1.3. Entropy–Catastrophe Progression Model
2.1.4. Evaluation Criteria
2.1.5. Obstacle Diagnosis Model
2.2. Research Scope and Data Sources
3. Results Analysis
3.1. Analysis of the Multifunctional Performance Results
3.2. Obstacle Diagnosis and Zone Optimization
3.2.1. Obstacle Factor Diagnosis
3.2.2. Differentiated Zoning Regulatory Strategies
4. Conclusions, Discussion, and Policy Implications
4.1. Conclusions
4.2. Discussion
4.3. Policy Implications
Author Contributions
Funding
Data Availability Statement
Conflicts of Interest
References
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| Element Space | Function Layer | Criterion Layer | Index Layer | Attribute | Calculation Method | Unit | Weight |
|---|---|---|---|---|---|---|---|
| Production space | Economic Production (A1) | Funds Input (B1) | Fixed Asset Investment per Unit Area (C1) | + | Fixed assets investment/LA | RMB MM/km2 | 0.0417 |
| Construction and Maintenance Funds per Unit Area (C2) | + | Construction and maintenance funds/LA | RMB MM/km2 | 0.0496 | |||
| Industrial Production (B2) | Industrial Land Ratio(C3) | + | Industrial land area/LA | % | 0.0337 | ||
| Industrial Output per Unit Area (C4) | + | Industrial output value/LA | RMB MM/km2 | 0.0542 | |||
| Commercial Production (B3) | Commercial Land Ratio (C5) | + | Commercial land area/LA | % | 0.0475 | ||
| Tertiary Industry Output per Unit Area (C6) | + | Tertiary industry output value/LA | RMB MM/km2 | 0.0781 | |||
| Living space | Living Services (A2) | Housing Security (B4) | Residential land Ratio(C7) | + | Residential land area/LA | % | 0.0391 |
| Residents’ Income (C8) | + | The per capita disposable income of residents | RMB | 0.0575 | |||
| Population Urbanization Rate (C9) | + | Permanent urban population/total population | % | 0.0399 | |||
| Public Services (B5) | Public Service Land Ratio (C10) | − | Public administration and service land area/LA | % | 0.0300 | ||
| Bed Density in Healthcare Institutions (C11) | + | The quantity of beds in healthcare institutions/LA | pcs./km2 | 0.0569 | |||
| Employment per Unit Area (C12) | + | Employment in the secondary and tertiary sectors/LA | pcs./km2 | 0.0257 | |||
| Traffic Land Ratio (C13) | + | The area of road traffic facilities/LA | % | 0.0400 | |||
| Educational Services (B6) | Students per Unit Area (C14) | + | Enrolled students/LA | 10,000 persons/km2 | 0.0449 | ||
| Availability of Books per Unit Area (C15) | + | Public library holdings/LA | unit/km2 | 0.0574 | |||
| Ecological Space | Ecological Protection (A3) | Greening Resources (B7) | Greening Degree (C16) | + | Green land area/LA | % | 0.0566 |
| Cultivated Land Ratio (C17) | + | Cultivated land at year-end/LA | % | 0.0434 | |||
| Water Area Ratio (C18) | + | Water area/LA | % | 0.0450 | |||
| Friendly Environment (B8) | Energy Consumption per Unit Area (C19) | − | Energy consumption values/LA | ton of standard coal/m2 | 0.0403 | ||
| Sewage Treatment Capacity per Unit Area (C20) | + | Total volume of treated sewage discharge/LA | cubic meter/hectare | 0.0606 | |||
| Household Waste Treatment Capacity per Unit Area (C21) | + | Total volume of treated household waste/LA | ton/hectare | 0.0579 |
| Model Types | Theoretical Basis | Core Advantages | Main Limitations |
|---|---|---|---|
| Entropy–Catastrophe Progression Model [37] | Information Entropy Theory and Mutation Theory (Mutation Series Model) | 1. Integration of Objective Weighting and Nonlinear Processing: The entropy method avoids subjective weight biases, while the mutation series model handles nonlinear relationships between indicators using normalization formulas (e.g., cusp mutation, swallowtail mutation) without preset weights, requiring only clarification of indicator priority rankings. 2. Hierarchical Evaluation Logic: Decomposes complex systems into “target layer-criterion layer-indicator layer,” suitable for multi-dimensional, multi-level comprehensive evaluation. 3. Strong Result Interpretability: Intuitively reflects the contribution of indicators at all levels to the comprehensive result through membership values, facilitating the identification of shortcomings. | 1. Indicator Ranking Sensitivity: The classification of indicator hierarchical rankings (e.g., “main control indicators” vs. “secondary indicators”) directly affects mutation normalization results. 2. Normalization Formula Dependence: Different mutation types (cusp, swallowtail, butterfly mutations) require multiple mutation models for normalization formulas. |
| Entropy-TOPSIS [30] | Information Entropy Theory (Entropy Method) and Technique for Order Preference by Similarity to Ideal Solution (TOPSIS) | 1. Intuitive Relative Ranking: Quantifies relative superiority by calculating distances between evaluation objects and “positive/negative ideal solutions,” with results easy to compare. 2. Strong Data Adaptability: Handles indicators with different dimensions and magnitudes. | 1. Ideal Solution Dependence: The selection of positive/negative ideal solutions is subjective, and deviations in ideal solutions may amplify evaluation errors. 2. Lack of Absolute Scoring: Only outputs relative rankings and cannot provide absolute superiority grades for evaluation objects. |
| DEA (Data Envelopment Analysis) [37] | Linear Programming Theory and Production Economics | 1. No Preset Production Function: Directly constructs production frontiers using input–output data to evaluate the relative efficiency of Decision-Making Units (DMUs), avoiding subjective weight interference. 2. Multi-Input Multi-Output Processing: Excels at analyzing “multi-input–multi-output” systems (e.g., industrial production, public service efficiency). | 1. Relative Efficiency Limitation: Only evaluates “relative efficiency” of DMUs (compared to the optimal unit in the sample) and cannot derive absolute efficiency values. The reliability decreases when the sample size is small. 2. Radial and Angular Limitations: Traditional DEA (e.g., CCR model) only considers radial improvements (proportional changes in inputs/outputs) and struggles with undesirable outputs (e.g., pollutants). Extreme values may distort the production frontier, affecting overall evaluation. |
| Coordination-Coupling Model [38] | Systems Theory and Synergetics | 1. Focus on Inter-System Interactions: Based on systems theory and synergetics, it quantifies the interdependence intensity (coupling degree) and coordinated development level (coordination degree) of multiple subsystems (e.g., economic-ecological systems, social-environmental systems). 2. Visualization of Dynamic Coordination Relationships: Intuitively presents inter-system synergy through coupling-coordination grades (e.g., “extreme imbalance-high-quality coordination”). | 1. Strong Weight Dependence: The determination of subsystem indicator weights (e.g., entropy method, AHP) directly affects coupling and coordination results, with subjective weighting prone to bias; 2. Lack of Coordination Mechanisms: Relies entirely on data evaluation, easily obscuring the essence of coordination (e.g., high coupling does not equate to high coordination). |
| Catastrophe Model | Variables | Potential Functions | Normalization Formula |
|---|---|---|---|
| Fold Catastrophe | 1 | ||
| Cusp Catastrophe | 2 | , , where | |
| Swallowtail Catastrophe | 3 | , , , where | |
| Butterfly Catastrophe | 4 | , , , , where |
| Level | Excellent | Good | Middle | Low | Poor |
|---|---|---|---|---|---|
| Evaluation Standards | 0.96~1 | 0.92~0.96 | 0.88~0.92 | 0.84~0.88 | 0~0.84 |
| Data Type | Data Name | Indicator | Year (s) | Data Accuracy | Source |
|---|---|---|---|---|---|
| Land use data | Land use | Land use area; The area of road traffic facilities; Green land area; Water area | 2013–2023 | 30 m | https://www.resdc.cn/ URL (accessed on 13 November 2025) |
| Social, economic, and ecological data | Hubei Provincial and Every City’s Statistical Yearbook | Fixed assets investment; Industrial output value; The per capita disposable income of residents; Permanent urban population; The quantity of beds in healthcare institutions; Employment in the secondary and tertiary sectors; Enrolled students; Cultivated land at year-end; Energy consumption values; Total volume of treated sewage discharge; Total volume of treated household waste | 2013–2023 | Every city | https://tjj.hubei.gov.cn/tjsj/sjkscx/tjnj/qstjnj/index.shtml URL (accessed on 13 November 2025) |
| China Urban Construction Statistical Yearbook | Construction and maintenance funds; Industrial land area; Commercial land area; Residential land area; Public administration and service land area; The area of road traffic facilities; Green land area | Every city | http://www.tjnjw.com/hangyefb/c/ URL (accessed on 13 November 2025) |
| Region | Obstacle Factors and Obstacle Degree (%) | Region | Obstacle Factors and Obstacle Degree (%) | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
| Wuhan | C11 | C19 | C17 | C10 | C16 | Jingzhou | C6 | C20 | C4 | C8 | C15 |
| 18.46 | 15.63 | 14.40 | 12.99 | 9.43 | 15.70 | 10.35 | 7.91 | 7.65 | 7.01 | ||
| Huangshi | C6 | C21 | C20 | C11 | C17 | Huanggang | C6 | C20 | C8 | C15 | C14 |
| 14.44 | 8.06 | 7.24 | 6.76 | 6.40 | 12.34 | 10.24 | 9.20 | 8.98 | 7.71 | ||
| Shiyan | C6 | C8 | C4 | C20 | C21 | Xianning | C6 | C20 | C8 | C15 | C2 |
| 15.04 | 8.48 | 7.50 | 6.99 | 6.86 | 13.24 | 10.92 | 8.57 | 7.44 | 6.40 | ||
| Yichang | C6 | C20 | C11 | C14 | C21 | Suizhou | C6 | C20 | C8 | C15 | C16 |
| 14.66 | 11.69 | 7.90 | 7.78 | 7.27 | 13.76 | 8.94 | 8.56 | 7.49 | 7.49 | ||
| Xiangyang | C6 | C20 | C21 | C8 | C11 | Enshi | C6 | C20 | C8 | C15 | C16 |
| 15.62 | 10.06 | 8.18 | 7.51 | 7.35 | 11.50 | 9.65 | 9.06 | 8.43 | 7.05 | ||
| Ezhou | C6 | C20 | C16 | C11 | C21 | Xiantao | C6 | C15 | C20 | C11 | C8 |
| 14.41 | 10.48 | 7.48 | 7.42 | 7.38 | 13.91 | 9.23 | 8.77 | 7.77 | 7.66 | ||
| Jingmen | C6 | C20 | C21 | C8 | C14 | Qianjiang | C6 | C20 | C15 | C21 | C11 |
| 12.91 | 9.55 | 8.18 | 7.15 | 7.10 | 13.51 | 10.33 | 8.49 | 7.42 | 7.30 | ||
| Xiaogan | C6 | C20 | C8 | C15 | C21 | Tianmen | C6 | C20 | C15 | C8 | C21 |
| 14.44 | 8.27 | 7.54 | 6.69 | 6.50 | 13.49 | 11.45 | 9.79 | 9.59 | 6.18 | ||
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Hu, X.; Hu, J.; Wang, Z.; Zou, L. Ecological Priority-Oriented Performance Evaluation of Land Use Functions and Zoning Governance by Entropy–Catastrophe Progression Model. Land 2025, 14, 2296. https://doi.org/10.3390/land14122296
Hu X, Hu J, Wang Z, Zou L. Ecological Priority-Oriented Performance Evaluation of Land Use Functions and Zoning Governance by Entropy–Catastrophe Progression Model. Land. 2025; 14(12):2296. https://doi.org/10.3390/land14122296
Chicago/Turabian StyleHu, Xuedong, Jiaqi Hu, Zicheng Wang, and Lilin Zou. 2025. "Ecological Priority-Oriented Performance Evaluation of Land Use Functions and Zoning Governance by Entropy–Catastrophe Progression Model" Land 14, no. 12: 2296. https://doi.org/10.3390/land14122296
APA StyleHu, X., Hu, J., Wang, Z., & Zou, L. (2025). Ecological Priority-Oriented Performance Evaluation of Land Use Functions and Zoning Governance by Entropy–Catastrophe Progression Model. Land, 14(12), 2296. https://doi.org/10.3390/land14122296
