Simulation and Control of Water Pollution Load in the Xiaoxingkai Lake Basin Based on a System Dynamics Model
Abstract
1. Introduction
2. Materials and Methods
2.1. Study Area
2.2. Data Sources
2.3. System Dynamics Modeling
2.3.1. Model Boundaries and Structure
2.3.2. Model Parameters and Equations
2.3.3. Model Validity Testing
2.3.4. Scenario Design
- (1)
- Status quo scenario (S0): The development of the Xingkai Lake basin will remain unchanged from 2021 to 2030. The parameters of the plan will be based on the 2020 values, and the changes in pollutant loads during the period from 2021 to 2030 will be simulated and used as a reference for other scenarios.
- (2)
- Economic development scenario (S1): Based on the status quo scenario, this scenario assumes that the study area prioritizes economic development, with economic development at a high level and pollution control measures remaining unchanged. This scenario mainly reflects social and economic development by increasing parameters such as livestock and poultry farming scale, population growth rate, and domestic water consumption and simulates the amount of pollutants entering rivers under conditions of rapid economic development.
- (3)
- Pollution control enhancement scenario (S2): Building on the status quo type, this approach prioritizes environmental protection as its primary objective. It primarily achieves this by increasing the sewage treatment rates for urban and rural domestic wastewater, as well as the treatment rates for domestic pollutants in urban and rural areas. Additionally, agricultural pollution control is enhanced by employing technological measures to reduce the pollutant output coefficients from livestock farming, thereby maintaining environmental protection at a high level. This approach simulates pollutant inflows into rivers under conditions of stringent pollutant control.
- (4)
- Dual-reinforcement scenario (S3): This scenario combines high economic growth and strong environmental protection, integrating high-intensity parameter settings from both the economic development and pollution control scenarios. It assumes an increase in industrial scale and population growth while implementing stringent pollutant reduction measures. It simulates pollutant loads under conditions of rapid economic growth combined with intensive pollution control.
- (5)
- Moderate-reinforcement scenario (S4): This scenario represents a balanced approach with moderate levels of economic growth and environmental protection. Compared to the economic development scenario, the growth rates of livestock and poultry farming and population are moderately reduced; compared to the pollution control scenario, the decline in pollutant output coefficients is slowed down. This scenario simulates pollutant loads under conditions of moderate economic growth combined with moderate pollution control. This scenario aims to simulate the common “economic-environmental trade-off” approach found in real-world basin planning, balancing the sustainability of regional economic development with the costs and feasibility of environmental governance, aligning with the governance pathways frequently adopted in policy-making practices.
3. Results
3.1. Model Validity Verification
3.2. Contribution Analysis of Contamination Sources
3.3. Changes in Pollution Load Under Different Circumstances
4. Discussion
4.1. Sources and Countermeasures of Basin Pollution Load
4.2. Scenario Comparison and Future Regulatory Recommendations
5. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
References
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Subsystem | Variables | Variable | Units | Equations and Values |
---|---|---|---|---|
Population subsystem | Total population | Level | ×104 persons | INTEG (Number of births − Number of deaths − Out-migrant Population + In-migrant population, 218) |
Number of births | Auxiliary | Total population × Birth rate | ||
Number of deaths | Total population × Mortality rate | |||
Birth rate | Rate | ‰ | Table (time) | |
Out-migrant population | Auxiliary | ×104 persons | ||
Urban population | Total population × Urbanization rate | |||
Urbanization rate | Rate | % | Table (time) | |
Water contamination subsystem | Urban domestic sewage generation | Auxiliary | t | Urban population × Pollution reduction coefficient × Per capita water consumption of urban residents × 365/1000 |
Urban domestic TN generation | TN generation coefficient of urban residents × Urban domestic sewage discharge volume/100 | |||
Rural domestic TN generation | Rural population × TN generation coefficient of rural residents × 365/1000 | |||
Urban domestic TN output | Urban domestic TN generation × (1 − TN removal rate × Urban domestic sewage centralized treatment rate) | |||
Rural domestic TN output | Rural domestic TN generation × (1 − TN comprehensive removal rate × rural domestic wastewater treatment rate) | |||
Urban domestic TN load to river | Urban domestic TN output × Pollutant discharge coefficient of urban residents | |||
Rural domestic TN load to river | Rural domestic TN output × Pollutant discharge coefficient of rural residents | |||
Agricultural subsystem | Cultivated land area | Level | ×104 ha | INTEG (change in cultivated land area, 59.63) |
Change in cultivated land area | Auxiliary | Cultivated land area × change in cultivated land area rate | ||
Cultivated land area change rate | Rate | % | Table (time) | |
Livestock stock | Level | ×104 heads | INTEG (change in livestock farming volume, 330.80) | |
Change in livestock farming | Auxiliary | Livestock stock × Livestock stock change rate | ||
Livestock stock change rate | Rate | % | Table (time) | |
Water contamination subsystem | TN output from livestock rearing | Auxiliary | t | Livestock stock × TN output coefficient of livestock stock |
Livestock rearing TN load to river | TN output from livestock rearing × Pollutant discharge coefficient of livestock rearing | |||
Total TN load to river | Agricultural TN load to river + Rural domestic TN load to river + Urban domestic TN load to river | |||
Agricultural TN load to river | Cultivated land TN load to river + Livestock rearing TN load to river |
Parameters | Units | S0 | S1 | S2 | S3 | S4 |
---|---|---|---|---|---|---|
Urbanization rate | % | 63.97 | 68 | 63.97 | 68 | 66 |
Birth rate | ‰ | 3.46 | 4.5 | 3.46 | 4.5 | 3.8 |
In-migrant population | ×104 persons | 0 | 5 | 0 | 5 | 2.5 |
Out-migrant population | 1.2 | 0.2 | 1.2 | 0.2 | 0.5 | |
Urban domestic TN removal rate | % | 75 | 75 | 77 | 77 | 76 |
Urban domestic TP removal rate | 84 | 84 | 87 | 87 | 86 | |
Urban domestic COD removal rate | 84 | 84 | 87 | 87 | 86 | |
Urban domestic NH3-N removal rate | 83 | 83 | 85 | 85 | 84 | |
Rural domestic TN comprehensive removal rate | 46 | 46 | 48 | 48 | 47 | |
Rural domestic TP comprehensive removal rate | 46 | 46 | 48 | 48 | 47 | |
Rural domestic COD comprehensive removal rate | 61 | 61 | 64 | 64 | 63 | |
Rural domestic NH3-N comprehensive removal rate | 50 | 50 | 53 | 53 | 52 | |
Livestock farming TN output coefficient | kg/piece·a | 0.6 | 0.6 | 0.56 | 0.56 | 0.58 |
Livestock farming TP output coefficient | 0.14 | 0.14 | 0.13 | 0.13 | 0.14 | |
Livestock farming COD output coefficient | 2.66 | 2.66 | 2.5 | 2.5 | 2.58 | |
Livestock farming NH3-N output coefficient | 0.21 | 0.21 | 0.2 | 0.2 | 0.2 | |
Arable land TN output coefficient | kg/(hm2·a) | 26.19 | 27.76 | 24.88 | 26.45 | 25.93 |
Arable land TP output coefficient | 0.99 | 1.05 | 0.94 | 1 | 0.98 | |
Arable land COD output coefficient | 18.99 | 20.13 | 18.04 | 19.18 | 18.8 | |
Arable land NH3-N output coefficient | 4.33 | 4.59 | 4.11 | 4.37 | 4.29 | |
Rural domestic sewage treatment rate | % | 12.5 | 12.5 | 50 | 50 | 45 |
Urban domestic sewage centralized treatment rate | 62 | 62 | 72 | 72 | 70 | |
Livestock farming change rate | 0.04 | 0.15 | 0.04 | 0.15 | 0.095 | |
Per capita water consumption of urban residents | L/person·day | 115 | 150 | 115 | 150 | 130 |
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Wu, Y.; Chen, D.; Li, F.; Feng, M.; Wang, P.; Hao, L.; Deng, C. Simulation and Control of Water Pollution Load in the Xiaoxingkai Lake Basin Based on a System Dynamics Model. Sustainability 2025, 17, 7167. https://doi.org/10.3390/su17157167
Wu Y, Chen D, Li F, Feng M, Wang P, Hao L, Deng C. Simulation and Control of Water Pollution Load in the Xiaoxingkai Lake Basin Based on a System Dynamics Model. Sustainability. 2025; 17(15):7167. https://doi.org/10.3390/su17157167
Chicago/Turabian StyleWu, Yaping, Dan Chen, Fujia Li, Mingming Feng, Ping Wang, Lingang Hao, and Chunnuan Deng. 2025. "Simulation and Control of Water Pollution Load in the Xiaoxingkai Lake Basin Based on a System Dynamics Model" Sustainability 17, no. 15: 7167. https://doi.org/10.3390/su17157167
APA StyleWu, Y., Chen, D., Li, F., Feng, M., Wang, P., Hao, L., & Deng, C. (2025). Simulation and Control of Water Pollution Load in the Xiaoxingkai Lake Basin Based on a System Dynamics Model. Sustainability, 17(15), 7167. https://doi.org/10.3390/su17157167