Framework for Comprehensive Risk Assessment and Factor Diagnosis from the Perspective of the Water–Energy–Food–Ecology–Carbon Complex System: A Case Study of the Yellow River “Ji” Bay
Abstract
1. Introduction
2. Study Area and Methods
2.1. WEFEC Research Framework
2.2. WEFEC Comprehensive Evaluation Indicator System Construction
2.3. Weight Calculation
2.3.1. Analytic Network Process (ANP)
2.3.2. Entropy Weight Method
2.3.3. Combination Weighting Method
2.4. Comprehensive Evaluation Method Based on Cloud Model
2.5. Risk Factor Model
2.6. Study Area
2.7. Data Sources
3. Results Analysis
3.1. Weight Analysis
3.2. Analysis of Temporal Evolution Characteristics
3.2.1. Temporal Evolution Characteristics of the Target Layer and Criterion Layer
3.2.2. Temporal Evolution Characteristics of the Indicator Layer
3.3. Spatial Differentiation Pattern
3.3.1. Spatial Differentiation Characteristics of the Target Layer
3.3.2. Spatial Differentiation Pattern of the Criterion Layer
3.4. Diagnosis of Key Risk Factors
4. Discussion
4.1. Analysis of Evolution Mechanisms
4.2. Policy Recommendations
4.3. Limitations and Future Research Directions
5. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Acknowledgments
Conflicts of Interest
References
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| Criterion Layers | Sub-System | Indicator Layer | Indicator No | Attribute | Indicator Meaning | Risk Levels | ||||
|---|---|---|---|---|---|---|---|---|---|---|
| No Alert | Light Alert | Medium Alert | High Alert | Extreme Alert | ||||||
| Reliability | Water sub-system | Per capita water resources (m3) | X1 | + | Ratio of total water resources to population | 3000–4000 [25] | 2000–3000 | 1000–2000 | 500–1000 | <500 | 
| Water sub-system | Per capita water consumption (m3) | X2 | − | Ratio of water consumption to population | 150–200 [25] | 200–250 | 250–400 | 400–500 | >500 | |
| Water sub-system | Water yield modulus (104 m3/km2) | X3 | + | Water resources per unit area | ≥70 [26] | 55–70 | 40–55 | 25–40 | <25 | |
| Water sub-system | Water consumption per 104 yuan GDP (m3) | X4 | − | Ratio of total water consumption to total GDP | <24 [27] | 24–60 | 60–140 | 140–220 | >220 | |
| Food sub-system | Unit area yield (tons/hm2) | X5 | + | Yield per unit area | 7–8 [28] | 6–7 | 5–6 | 4–5 | <4 | |
| Food sub-system | Per capita grain production (tons) | X6 | + | Ratio of grain production to population | 500–600 [29] | 400–500 | 300–400 | 200–300 | <200 | |
| Energy sub-system | Energy consumption elasticity coefficient | X7 | − | Ratio of energy consumption growth rate to economic growth rate | −1.5–−0.5 [30] | −0.5–0 | 0–0.5 | 0.5–1 | 1–1.5 | |
| Energy sub-system | Per capita energy consumption (tons) | X8 | − | Ratio of energy consumption to population | <1 [25] | 1–2 | 2–3 | 3–4 | >4 | |
| Ecology sub-system | Vegetation cover (%) | X9 | + | Ratio of vegetation area to total regional area | >18 [25] | 15–18 | 12–15 | 9–12 | <9 | |
| Ecology sub-system | Water area ratio (%) | X10 | + | Ratio of water area to total regional area | 5–8 [25] | 3.5–5 | 2–3.5 | 1–2 | 0.5~1 | |
| Ecology sub-system | Industrial sulfur dioxide emissions (tons) | X11 | − | Regional sulfur dioxide emissions | 0–2 [25] | 2–5 | 5–10 | 10–15 | 15–20 | |
| Carbon sub-system | Per capita carbon emissions (104 tons) | X12 | − | Ratio of carbon emissions to population | 2–8 [30] | 8–12 | 12–14 | 14–16 | 16–20 | |
| Carbon sub-system | Carbon emission density (tons/km2) | X13 | − | Ratio of carbon emissions to regional area | 50–200 [30] | 200–800 | 800–1500 | 1500–3000 | 3000–10,000 | |
| Synergy | Food–Energy | Total power of agricultural machinery (kw·h/hm2) | X14 | + | Ratio of the total power of all machinery and equipment directly applicable to agricultural operations to the regional area | 7.5–8.5 [28] | 7–7.5 | 5.5–7 | 3.5–5.5 | 1.5–3.5 | 
| Food–Energy | Use of chemical fertilizers and pesticides (104 tons) | X15 | − | Regional fertilizer and pesticide usage | 8–9 [28] | 9–10.5 | 10.5–12 | 12–15 | >15 | |
| Water–Food | Water consumption per mu (m3) | X16 | − | Ratio of water usage to cultivated land area | 100–125 [28] | 125–150 | 150–175 | 175–200 | >200 | |
| Water–Food | Proportion of agricultural water use (%) | X17 | − | Ratio of agricultural water use to total water use | 20–40 [30] | 40–55 | 55–73 | 73–90 | 90–100 | |
| Food–Carbon | Agricultural carbon emissions (104 tons) | X18 | − | Carbon emissions generated by agriculture | 11–17 [28] | 17–23 | 23–28 | 28–34 | 34–50 | |
| Water–Ecology | Ecological water use rate (%) | X19 | + | Ratio of ecological water use to total water consumption | 6–8 [25] | 4–6 | 2–4 | 1–2 | 0–1 | |
| Water –Energy | Proportion of industrial water use (%) | X20 | + | Ratio of industrial water use to total water consumption | 45–55 [30] | 35–45 | 20–35 | 5–20 | 0–5 | |
| Resilience | Social resilience | Population density (person/km2) | X21 | − | Population per unit area of land | 100–1000 [31] | 1000–2000 | 2000–4000 | 4000–6000 | 6000–10,000 | 
| Social resilience | Urbanization rate (%) | X22 | + | Ratio of urban population to permanent resident population | <20 [30] | 20–50 | 50–60 | 60–80 | >80 | |
| Environmental resilience | Proportion of fiscal expenditure allocated to energy conservation and environmental protection (%) | X23 | + | Ratio of energy conservation and environmental protection expenditures to total fiscal expenditures | ≥2.2 [26] | 1.7–2.2 | 1.2–1.7 | 0.7–1.2 | <0.7 | |
| Technological resilience | Number of green utility model patents (item) | X24 | + | Number of green utility model patents | 500–15,000 [30] | 200–500 | 50–200 | 10–50 | 0–10 | |
| Method | Advantages | Shortcomings | Application Scenarios | 
|---|---|---|---|
| Entropy Weight Method [32] | Objectively determines weights based on the variability of data itself, reducing the interference of subjective factors. | Relies on data itself; if data is biased, it will affect the accuracy of weights; insufficient consideration of the actual importance of indicators. | Suitable for evaluation problems requiring objective weighting with large data volume, such as comprehensive performance evaluation and resource evaluation. | 
| AHP (Analytic Hierarchy Process) [33] | Combines qualitative and quantitative analysis, capable of handling complex decision-making problems, and easy to understand and operate. | Strong subjectivity; scores from different experts may vary greatly; consistency test of judgment matrix is sometimes difficult to pass. | Widely used in multi-objective and multi-criteria decision-making problems, such as scheme evaluation. | 
| AHP Based on Genetic Algorithm [34] | Utilizes the global search capability of genetic algorithms to improve the accuracy and efficiency of AHP and avoid falling into local optima. | The parameter setting of genetic algorithm is complex and may require multiple tests for adjustment; relatively large amount of calculation. | Used in complex hierarchical decision-making problems when it is necessary to improve decision-making accuracy and avoid local optima. | 
| CRITIC [35] | Effectively solves multi-criteria decision-making problems, with simple calculation and consideration of interactions between indicators. | The assumption about the correlation between indicators may not fully conform to reality; result interpretation is somewhat difficult. | Multi-criteria decision analysis, especially when there are interactions between indicators, such as urban sustainable development evaluation. | 
| PP—Projection Pursuit Dynamic Weighting Method [36] | Can mine uncertain information in data and dynamically adapt to different data characteristics. | The determination of projection direction may have subjectivity; the calculation process is relatively complex. | Evaluation problems dealing with data with uncertainty and dynamic changes, such as water resources carrying capacity evaluation and environmental quality evaluation. | 
| ANP (Analytic Network Process) [37] | Breaks away from the limitation of hierarchical structure, can handle problems with interdependence and feedback effects, and considers indicator correlation. | The process of establishing network structure and supermatrix is complex, with large calculation amount. | Suitable for system evaluation with feedback and interdependence relationships, such as social and economic system evaluation. | 
| EFAST (Extended Fourier Amplitude Sensitivity Test) [38] | Can calculate indicator sensitivity indices and fully consider the impact of coupling effects between indicators on weights. | Large calculation amount for indicator sensitivity index; high requirements for model assumptions. | Applied in sensitivity analysis that needs to consider coupling effects between indicators, such as ecosystem evaluation. | 
| Coefficient of Variation Method [39] | An objective weighting method that obtains weights through indicator information and can reflect the gaps between evaluation indicators. | Only considers the dispersion degree of data, not the actual importance of indicators; sensitive to outliers. | Evaluation problems sensitive to data dispersion, such as market competitiveness evaluation. | 
| Game Theory [40] | Integrates the advantages of multiple methods, balances the characteristics of different methods, and improves the rationality of evaluation. | The solution of the game process may be complex; weight determination of different methods is difficult. | Used when it is necessary to integrate the advantages of multiple methods for evaluation, such as comprehensive risk evaluation. | 
| Least Squares Method [41] | Can make weight distribution more in line with the inherent laws of data and optimize combined weights. | Has certain requirements for data distribution and structure; may fall into local optima. | Applied in problems where weights need to be determined by fitting data, such as cost–benefit analysis. | 
| Indicator | ANP Weight | Entropy Weight | Combination Weight | Indicator | ANP Weight | Entropy Weight | Combination Weight | 
|---|---|---|---|---|---|---|---|
| X1 | 0.0541 | 0.0672 | 0.0987 | X13 | 0.0241 | 0.0046 | 0.0030 | 
| X2 | 0.0362 | 0.0854 | 0.0839 | X14 | 0.0294 | 0.0271 | 0.0216 | 
| X3 | 0.0304 | 0.0768 | 0.0633 | X15 | 0.0294 | 0.0053 | 0.0042 | 
| X4 | 0.0331 | 0.0024 | 0.0021 | X16 | 0.0764 | 0.0054 | 0.0111 | 
| X5 | 0.0241 | 0.0501 | 0.0328 | X17 | 0.0705 | 0.0340 | 0.0650 | 
| X6 | 0.0483 | 0.0274 | 0.0359 | X18 | 0.0411 | 0.0109 | 0.0121 | 
| X7 | 0.0121 | 0.0060 | 0.0020 | X19 | 0.0705 | 0.1039 | 0.1987 | 
| X8 | 0.0483 | 0.0035 | 0.0046 | X20 | 0.0588 | 0.0033 | 0.0052 | 
| X9 | 0.0273 | 0.0173 | 0.0128 | X21 | 0.0443 | 0.0125 | 0.0151 | 
| X10 | 0.0273 | 0.1125 | 0.0832 | X22 | 0.0221 | 0.0226 | 0.0136 | 
| X11 | 0.0393 | 0.0054 | 0.0057 | X23 | 0.0996 | 0.0532 | 0.1437 | 
| X12 | 0.0425 | 0.0031 | 0.0035 | X24 | 0.0111 | 0.2604 | 0.0782 | 
| Membership | ||||
|---|---|---|---|---|
| No Alert | Light Alert | Medium Alert | High Alert | Extreme Alert | 
| 0.6410 | 0.6238 | 0.7332 | 0.7902 | 0.7737 | 
| WEFEC Complex System | Membership | ||||
|---|---|---|---|---|---|
| No Alert | Light Alert | Medium Alert | High Alert | Extreme Alert | |
| Target Layer | 0.56988 | 0.54538 | 0.51833 | 0.51223 | 0.53013 | 
| Reliability | 0.46391 | 0.37418 | 0.39532 | 0.44504 | 0.48694 | 
| Synergy | 0.61069 | 0.73857 | 0.86354 | 0.53840 | 0.52296 | 
| Resilience | 0.36795 | 0.44136 | 0.48988 | 0.48133 | 0.40628 | 
| Year | Target Layer Cloud Membership | ||||
|---|---|---|---|---|---|
| No Alert | Light Alert | Medium Alert | High Alert | Extreme Alert | |
| 2004 | 0.34236 | 0.35874 | 0.36512 | 0.42498 | 0.69470 | 
| 2005 | 0.32931 | 0.33377 | 0.41469 | 0.56461 | 0.65507 | 
| 2006 | 0.34070 | 0.33198 | 0.40271 | 0.54584 | 0.57473 | 
| 2007 | 0.32919 | 0.40036 | 0.47543 | 0.65474 | 0.65480 | 
| 2008 | 0.32590 | 0.32060 | 0.43982 | 0.60150 | 0.61201 | 
| 2009 | 0.32363 | 0.32038 | 0.42095 | 0.58711 | 0.57515 | 
| 2010 | 0.31372 | 0.27276 | 0.42260 | 0.59022 | 0.55204 | 
| 2011 | 0.34045 | 0.36962 | 0.51993 | 0.60287 | 0.55870 | 
| 2012 | 0.42263 | 0.46691 | 0.55898 | 0.61293 | 0.59734 | 
| 2013 | 0.51148 | 0.54507 | 0.60900 | 0.61611 | 0.61296 | 
| 2014 | 0.43595 | 0.48939 | 0.57019 | 0.57413 | 0.54557 | 
| 2015 | 0.48267 | 0.51317 | 0.56607 | 0.55392 | 0.56355 | 
| 2016 | 0.45956 | 0.50961 | 0.57959 | 0.60283 | 0.59028 | 
| 2017 | 0.50222 | 0.53422 | 0.58571 | 0.57308 | 0.56695 | 
| 2018 | 0.54210 | 0.56944 | 0.57404 | 0.58658 | 0.55216 | 
| 2019 | 0.53477 | 0.55917 | 0.54940 | 0.56208 | 0.48299 | 
| 2020 | 0.57897 | 0.59845 | 0.56984 | 0.58402 | 0.57279 | 
| 2021 | 0.58595 | 0.59660 | 0.58219 | 0.51643 | 0.56698 | 
| 2022 | 0.58045 | 0.54403 | 0.52051 | 0.53607 | 0.51935 | 
| 2023 | 0.56988 | 0.54538 | 0.51833 | 0.51223 | 0.51013 | 
| No. | No Alert | Light Alert | Medium Alert | High Alert | Extreme Alert | 
|---|---|---|---|---|---|
| X1 | 0.0000 | 0.0000 | 0.0391 | 0.5849 | 0.8663 | 
| X2 | 0.7848 | 0.8725 | 0.9425 | 0.7507 | 0.9937 | 
| X3 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.7504 | 
| X4 | 0.5912 | 0.8253 | 0.7076 | 0.7169 | 0.6385 | 
| X5 | 0.7479 | 0.6683 | 0.5745 | 0.3898 | 0.7339 | 
| X6 | 0.7339 | 0.3275 | 0.2670 | 0.2070 | 0.1451 | 
| X7 | 0.3904 | 0.7653 | 0.9355 | 0.7501 | 0.4539 | 
| X8 | 0.4774 | 0.6219 | 0.7996 | 0.9490 | 0.9953 | 
| X9 | 0.8610 | 0.6278 | 0.5263 | 0.3035 | 0.5898 | 
| X10 | 0.0000 | 0.0000 | 0.9903 | 0.9960 | 0.9979 | 
| X11 | 0.6685 | 0.9225 | 0.8627 | 0.3552 | 0.0650 | 
| X12 | 0.6087 | 0.9128 | 0.9963 | 0.9673 | 0.8225 | 
| X13 | 0.4514 | 0.5765 | 0.7827 | 0.9678 | 0.6289 | 
| X14 | 0.6981 | 0.6902 | 0.7260 | 0.7247 | 0.6546 | 
| X15 | 0.0000 | 0.3727 | 0.7991 | 0.0105 | 0.0000 | 
| X16 | 0.9354 | 0.9593 | 0.9840 | 0.9951 | 0.9983 | 
| X17 | 0.6316 | 0.8513 | 0.8893 | 0.7154 | 0.5378 | 
| X18 | 0.9840 | 0.9338 | 0.7356 | 0.4925 | 0.2143 | 
| X19 | 0.9251 | 0.9830 | 0.9945 | 0.9673 | 0.8887 | 
| X20 | 0.0000 | 0.7776 | 0.8572 | 0.7237 | 0.9260 | 
| X21 | 0.7076 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 
| X22 | 0.4607 | 0.7200 | 0.9119 | 0.7195 | 0.3691 | 
| X23 | 0.9883 | 0.9926 | 0.9830 | 0.7880 | 0.0000 | 
| X24 | 0.4888 | 0.9592 | 0.8808 | 0.0000 | 0.0000 | 
| City | 2004–2010 | 2011–2016 | 2017–2023 | 
|---|---|---|---|
| Baiyin | Extreme alert | High alert | High alert | 
| Baoji | High alert | High alert | Medium alert | 
| Dingxi | Extreme alert | Extreme alert | No alert | 
| Ordos | Extreme alert | Medium alert | Medium alert | 
| Guyuan | Extreme alert | No alert | High alert | 
| Pingliang | High alert | No alert | High alert | 
| Qingyang | High alert | High alert | High alert | 
| Shizuishan | High alert | High alert | No alert | 
| Tianshui | High alert | High alert | Medium alert | 
| Tongchuan | No alert | No alert | No alert | 
| Weinan | Extreme alert | High alert | Medium alert | 
| Wuhai | High alert | No alert | No alert | 
| Wuzhong | Extreme alert | Extreme alert | Extreme alert | 
| Xian | Medium alert | No alert | No alert | 
| Xianyang | High alert | High alert | Light alert | 
| Yanan | High alert | High alert | No alert | 
| Yinchuan | High alert | High alert | No alert | 
| Yulin | Extreme alert | High alert | High alert | 
| Zhongwei | Extreme alert | Extreme alert | High alert | 
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© 2025 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).
Share and Cite
Ling, M.; Kou, T.; Li, W.; Li, Y.; Xing, X.; Guo, X.; Li, G.; Sun, S.; Gan, C.; Dun, J. Framework for Comprehensive Risk Assessment and Factor Diagnosis from the Perspective of the Water–Energy–Food–Ecology–Carbon Complex System: A Case Study of the Yellow River “Ji” Bay. Sustainability 2025, 17, 9637. https://doi.org/10.3390/su17219637
Ling M, Kou T, Li W, Li Y, Xing X, Guo X, Li G, Sun S, Gan C, Dun J. Framework for Comprehensive Risk Assessment and Factor Diagnosis from the Perspective of the Water–Energy–Food–Ecology–Carbon Complex System: A Case Study of the Yellow River “Ji” Bay. Sustainability. 2025; 17(21):9637. https://doi.org/10.3390/su17219637
Chicago/Turabian StyleLing, Minhua, Tong Kou, Wei Li, Yunling Li, Xigang Xing, Xuning Guo, Guangxuan Li, Suyan Sun, Chun Gan, and Jiaying Dun. 2025. "Framework for Comprehensive Risk Assessment and Factor Diagnosis from the Perspective of the Water–Energy–Food–Ecology–Carbon Complex System: A Case Study of the Yellow River “Ji” Bay" Sustainability 17, no. 21: 9637. https://doi.org/10.3390/su17219637
APA StyleLing, M., Kou, T., Li, W., Li, Y., Xing, X., Guo, X., Li, G., Sun, S., Gan, C., & Dun, J. (2025). Framework for Comprehensive Risk Assessment and Factor Diagnosis from the Perspective of the Water–Energy–Food–Ecology–Carbon Complex System: A Case Study of the Yellow River “Ji” Bay. Sustainability, 17(21), 9637. https://doi.org/10.3390/su17219637
 
        

 
       