Evaluation of Water Resources Carrying Capacity Using Principal Component Analysis: An Empirical Study in Huai’an, Jiangsu, China
Abstract
:1. Introduction
2. Literature Review
2.1. Integrated Water Resources Management
2.2. Review of Water Resources Management Theories and Methods
3. Material and Methods
3.1. Overview of the Study Area
3.2. Research Methods and Data Sources
3.2.1. Principal Component Analysis
- Normalization
- 2.
- The correlation coefficient matrix, as shown in Equations (2) and (3):
- 3.
- Calculation of eigenvalues and eigenvectors
- 4.
- Calculation of the contribution rate and the cumulative contribution rate, as shown in Equations (4) and (5), respectively.
- 5.
- Calculation of the principal component load, as shown in Equations (6) and (7):
- 6.
- Calculation of the comprehensive score value Z of the principal component, as shown in Equations (8) and (9):
3.2.2. Data Sources
4. Construction of Evaluation Index System for Water Resources Carrying Capacity
4.1. Principles of Evaluation Index Establishment
- (1)
- Principle of feasibility: There are different levels of difficulties in obtaining data. Some index data are relatively easy to acquire, while some index data are more difficult to collect. Therefore, it is necessary to select the representative index data as much as possible according to the feasibility of data acquisition;
- (2)
- Systematic principle: There are many factors that affect the carrying capacity of water resources, including economic, social, and water resources. In order to systematically and comprehensively reflect the status of water resources carrying capacity in Huai’an City, the indexes should be selected in accordance with systematic principles;
- (3)
- Scientific principle: in order to scientifically reflect the current situation of water resources in Huai’an City, the selection of indexes should be objective on the one hand, and truthful on the other hand, avoiding both the omission of information and the overlapping of indicators.
4.2. Evaluation Index Selection
5. Evaluation and Analysis of Water Resources Carrying Capacity in Huai’an City
5.1. Principal Component Results and Analysis
5.2. Calculation of the Principal Component Comprehensive Score
6. Conclusions and Enlightenment
6.1. Conclusions
6.2. Suggestions and Countermeasures for Sustainable Development of Water Resources in Huai’an City
- Establish a water ecological security pattern and formulate water resources protection policies in different regions:
- 2.
- Improve infrastructure construction and speed up water resources management:
- 3.
- Adjust industrial structure and promote the technological update:
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Acknowledgments
Conflicts of Interest
References
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X1 | X2 | X3 | X4 | X5 | X6 | X7 | X8 | X9 | X10 | X11 | X12 | X13 | |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|
X1 | 1 | ||||||||||||
X2 | 0.3533 | 1 | |||||||||||
X3 | 0.4354 | 0.9953 | 1 | ||||||||||
X4 | 0.3988 | 0.9986 | 0.9990 | 1 | |||||||||
X5 | 0.6387 | −0.2530 | −0.1648 | −0.2069 | 1 | ||||||||
X6 | −0.8987 | −0.5298 | −0.6012 | −0.5698 | −0.6173 | 1 | |||||||
X7 | 0.7145 | −0.0847 | 0.0046 | −0.0371 | 0.9581 | −0.6985 | 1 | ||||||
X8 | −0.6843 | −0.9092 | −0.9419 | −0.9282 | −0.1410 | 0.8319 | −0.2900 | 1 | |||||
X9 | −0.8790 | −0.6093 | −0.6757 | −0.6466 | −0.5523 | 0.9953 | −0.6474 | 0.8814 | 1 | ||||
X10 | −0.6899 | 0.2404 | 0.1579 | 0.1982 | −0.9030 | 0.5926 | −0.7934 | 0.1506 | 0.5288 | 1 | |||
X11 | −0.5782 | −0.8167 | −0.8394 | −0.8318 | 0.0122 | 0.7363 | −0.0790 | 0.8778 | 0.7780 | 0.0319 | 1 | ||
X12 | −0.6923 | 0.3845 | 0.2974 | 0.3369 | −0.8234 | 0.4994 | −0.7707 | −0.0010 | 0.4218 | 0.8098 | 0.0426 | 1 | |
X13 | 0.2515 | 0.9693 | 0.9556 | 0.9639 | −0.3699 | −0.4043 | −0.1601 | −0.8252 | −0.4880 | 0.4172 | −0.7426 | 0.4500 | 1 |
Principal Components | Eigenvalue | Percentage of Variance | Cumulative Contribution Rate % |
---|---|---|---|
1 | 7.175 | 55.194 | 55.197 |
2 | 4.956 | 38.121 | 93.315 |
3 | 0.431 | 3.312 | 96.627 |
4 | 0.223 | 1.719 | 98.346 |
5 | 0.167 | 1.287 | 99.633 |
6 | 0.048 | 0.367 | 100 |
Variables | L1 | L2 |
---|---|---|
X1 | 0.773 | −0.546 |
X2 | 0.842 | 0.529 |
X3 | 0.887 | 0.447 |
X4 | 0.868 | 0.486 |
X5 | 0.262 | −0.929 |
X6 | −0.899 | 0.410 |
X7 | 0.404 | −0.836 |
X8 | −0.988 | −0.136 |
X9 | −0.936 | 0.325 |
X10 | −0.257 | 0.901 |
X11 | −0.884 | −0.203 |
X12 | −0.151 | 0.918 |
X13 | 0.753 | 0.626 |
Variables | L1 | L2 |
---|---|---|
X1 | 0.108 | −0.110 |
X2 | 0.117 | 0.107 |
X3 | 0.124 | 0.090 |
X4 | 0.121 | 0.098 |
X5 | 0.037 | −0.187 |
X6 | −0.125 | 0.083 |
X7 | 0.056 | −0.169 |
X8 | −0.138 | −0.027 |
X9 | −0.130 | 0.066 |
X10 | −0.036 | 0.182 |
X11 | −0.123 | −0.041 |
X12 | −0.021 | 0.185 |
X13 | 0.105 | 0.126 |
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Wu, F.; Zhuang, Z.; Liu, H.-L.; Shiau, Y.-C. Evaluation of Water Resources Carrying Capacity Using Principal Component Analysis: An Empirical Study in Huai’an, Jiangsu, China. Water 2021, 13, 2587. https://doi.org/10.3390/w13182587
Wu F, Zhuang Z, Liu H-L, Shiau Y-C. Evaluation of Water Resources Carrying Capacity Using Principal Component Analysis: An Empirical Study in Huai’an, Jiangsu, China. Water. 2021; 13(18):2587. https://doi.org/10.3390/w13182587
Chicago/Turabian StyleWu, Fan, Zhicheng Zhuang, Hsin-Lung Liu, and Yan-Chyuan Shiau. 2021. "Evaluation of Water Resources Carrying Capacity Using Principal Component Analysis: An Empirical Study in Huai’an, Jiangsu, China" Water 13, no. 18: 2587. https://doi.org/10.3390/w13182587
APA StyleWu, F., Zhuang, Z., Liu, H. -L., & Shiau, Y. -C. (2021). Evaluation of Water Resources Carrying Capacity Using Principal Component Analysis: An Empirical Study in Huai’an, Jiangsu, China. Water, 13(18), 2587. https://doi.org/10.3390/w13182587