Multi-Level Fuzzy Comprehensive Evaluation for Water Resources Carrying Capacity in Xuzhou City, China
Abstract
:1. Introduction
2. Study Area and Data Sources
2.1. Study Area
2.2. Data Sources
3. Methodology
3.1. Creation of the Evaluation Index System and Grading Standard
3.1.1. Selection of the Evaluation Indexes
3.1.2. Classification of the Evaluation Grades
3.2. Multi-Level Fuzzy Comprehensive Evaluation Model
3.2.1. Model Theory
3.2.2. Calculation of the Membership Degree
3.2.3. Determination of the Evaluation Index Weight
Entropy Method
Analytic Hierarchy Process
- (1)
- Construction of hierarchy: Divide the evaluation indexes of the WRCC in Xuzhou into three layers: the target layer, the criterion layer and the index layer.
- (2)
- Create a judgment matrix R′: Compare factors and determine their relative importance. Calculate the rank of a comparative judgment matrix using the 1–9 scale of importance (Table 2).
- (3)
- Calculating the resultant λmax and the corresponding eigenvectors w′. The eigenvectors (weights) w′ were determined:Thus, the maximum eigenvalue was determined:
- (4)
- Due to the complexity of water resources systems and the subjectivity of people’s perceptions, a matrix consistency test was required to eliminate conflicts in the judgments from two comparisons. Consistency was tested using the following formula:
The Combined Weights
3.2.4. Classification of the Evaluation Grades
3.3. Projection of Approaching and Long-Term Water Resources Carrying Capacity
3.3.1. Projection of Relevant Indexes
Projection of Social and Economic Development-Related Indexes
Projection of Water Supply and Demand-Related Indexes
- (1)
- Annual average precipitation
- (2)
- Total water resources and water production modulus
- (3)
- Total water demand
3.3.2. Scenario Design
4. Results and Discussion
4.1. Analysis of the WRCC Status Evaluation Results
4.1.1. Results of Membership Degree
4.1.2. Results of the WRCC Evaluation Index Weight
4.1.3. Analysis of the WRCC Status Evaluation
4.2. Analysis of WRCC Predictions under Different Scenarios
4.2.1. Scenario A: Sustainable Development
4.2.2. Scenario B: Water Conservation
4.2.3. Scenario C: Rapid Socioeconomic Development
4.2.4. Scenario D: Adjustment of Industrial Structure
4.2.5. Prediction Analysis under Three Water Regimes
5. Conclusions
Supplementary Materials
Author Contributions
Funding
Data Availability Statement
Acknowledgments
Conflicts of Interest
References
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Evaluation Indexes | Unit | Index Type | V1 (Strong) | V2 (Average) | V3 (Weak) |
---|---|---|---|---|---|
U11 (annual average precipitation) | mm | positive | >1000 | 750–1000 | <750 |
U12 (per capita water resources) | m3/people | positive | >1700 | 500–1700 | <500 |
U13 (utilization rate of water resources) | % | negative | <40 | 40–90 | >90 |
U14 (water production modulus) | 104 m3/km2 | positive | >34 | 15–34 | <15 |
U21 (population density) | person/km2 | negative | <750 | 750–790 | >790 |
U22 (natural population growth rate) | ‰ | negative | <5 | 5–10 | >10 |
U23 (urbanization rate) | % | negative | <60 | 60–80 | >80 |
U31 (per capita GDP) | CNY 10,000 | positive | >8 | 5–8 | <5 |
U32 (water consumption per CNY 10,000 GDP) | m3/CNY 10,000 | negative | <50 | 50–80 | >80 |
U33 (proportion of tertiary industry in GDP) | % | positive | >50 | 40–50 | <40 |
U41 (industrial wastewater discharge) | 104 tons | negative | <2000 | 2000–5000 | >5000 |
U42 (urban sewage treatment rate up to standard) | % | positive | >95 | 85–95 | <85 |
U43 (ecological water consumption rate) | % | positive | >10 | 5–10 | <5 |
U44 (forest coverage rate) | % | positive | >40 | 30–40 | <30 |
Relative Importance | Definition |
---|---|
1 | Equal significance between the two factors |
3 | Slight significance of one factor compared to the other |
5 | Strong significance of one factor compared to the other |
7 | Dominance of one factor over the other |
9 | Absolute dominance of one factor over the other |
2,4,6,8 | Intermediate state between the above two judgments |
Reciprocal | If the ratio of the significance of factors i and j is aij, then the ratio of the significance of factors j and i is aji = 1/aij |
n | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
RI | 0 | 0 | 0.58 | 0.90 | 1.12 | 1.24 | 1.32 | 1.41 | 1.45 | 1.49 |
Comprehensive Score | Grading Standards of the WRCC |
---|---|
(0,0.25) | I—Severe overloading |
[0.25,0.50) | II—Medium overloading |
[0.50,0.60) | III—Critical overloading |
[0.60,0.70) | IV—Weak loadable |
[0.70,0.80) | V—Good loadable |
[0.80,1) | VI—Ideal loadable |
Scenarios Design | Mode | Details |
---|---|---|
Scenario A | sustainable development mode | Taking the 14th Five-Year Plan of Xuzhou City as a reference, the corresponding method is selected for each index value to predict. Use the values of the predicted indexes as a reference for other scenarios. |
Scenario B | water conservation mode | The per capita water consumption quota in both urban and rural areas was reduced by 10% to obtain the relevant index values, while the other index values remain the same as predicted by the sustainable development scenario. |
Scenario C | rapid socioeconomic development mode | The index values related to the economy, population and urbanization rate will be raised by 5%, 2% and 3%, respectively, and other index values will be the same as those in the sustainable development scenario. |
Scenario D | adjustment of industrial structure mode | The proportion of tertiary industry in GDP is increased by 5% based on sustainable development, while the other indexes values remain the same as predicted by the sustainable development scenario. |
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Zhang, Y.; Song, X.; Wang, X.; Jin, Z.; Chen, F. Multi-Level Fuzzy Comprehensive Evaluation for Water Resources Carrying Capacity in Xuzhou City, China. Sustainability 2023, 15, 11369. https://doi.org/10.3390/su151411369
Zhang Y, Song X, Wang X, Jin Z, Chen F. Multi-Level Fuzzy Comprehensive Evaluation for Water Resources Carrying Capacity in Xuzhou City, China. Sustainability. 2023; 15(14):11369. https://doi.org/10.3390/su151411369
Chicago/Turabian StyleZhang, Ying, Xiaomeng Song, Xiaojun Wang, Zhifeng Jin, and Feng Chen. 2023. "Multi-Level Fuzzy Comprehensive Evaluation for Water Resources Carrying Capacity in Xuzhou City, China" Sustainability 15, no. 14: 11369. https://doi.org/10.3390/su151411369
APA StyleZhang, Y., Song, X., Wang, X., Jin, Z., & Chen, F. (2023). Multi-Level Fuzzy Comprehensive Evaluation for Water Resources Carrying Capacity in Xuzhou City, China. Sustainability, 15(14), 11369. https://doi.org/10.3390/su151411369