Analyzing and Assessing Dynamic Behavior of a Physical Supply and Demand System for Sustainable Water Management under a Semi-Arid Environment
Abstract
:1. Introduction
2. Materials and Methods
2.1. Study Area Description
2.2. System Dynamics Modeling Theory
2.3. System Dynamics Model Development
2.4. Model Calibration and Statistical Performance Criteria
2.5. Sensitivity Analysis
2.6. Policy Scenario Design
3. Results and Discussion
3.1. The SE-NM Model’s Performance and Calibration
3.2. Sensitivity Analysis Assessment of Scenarios’ Parameters
3.3. Scenarios Analysis and Comparison
3.4. Policy Solutions Suggestions and Recommendations
4. Challenges and Limitations, and Future Research Directions
5. Summary and Conclusions
Supplementary Materials
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Acknowledgments
Conflicts of Interest
Appendix A
Subsystem | Parameter Name | Parameter Type | Data Sources and References |
---|---|---|---|
Population | Total population | Stock | [40,45,48,49,51] |
Population change | Flow | This study | |
Population growth rate | Variable | [41,45,48,49,51] | |
Water Supply | Surface water and groundwater storage | Stock | [45] |
Surface water inflow, groundwater inflow, surface water outflow, groundwater outflow, surface water return flows, groundwater return flows, groundwater evaporation, surface recharge and infiltration, total surface water withdrawals, and total groundwater withdrawals. | Flow | [45,46,48,49,50] | |
Precipitation, surface water evapotranspiration, land evapotranspiration, natural groundwater inflow, natural groundwater outflow, reservoir evaporation, USGS surface water inflow and outflow, surface runoff, surface water recharge, riparian evaporation, infiltration rate, commerce surface water returns, public surface water returns, irrigated surface water returns, irrigated groundwater returns, mining groundwater returns, industrial surface water returns, total OSE surface water withdrawals, total OSE groundwater withdrawals, commercial surface water withdrawal, domestic surface water withdrawal, public surface water withdrawal, power surface water withdrawal, mining surface water withdrawal, irrigated surface water withdrawal, livestock surface water withdrawal, industrial surface water withdrawal, commercial groundwater withdrawal, domestic groundwater withdrawal, public groundwater withdrawal, power groundwater withdrawal, mining groundwater withdrawal, irrigated groundwater withdrawal, livestock groundwater withdrawal, and industrial groundwater withdrawal. | Variable | [39,45,46,48,49,50] | |
Water Demand | Available water supply storage change (total withdrawals) | Stock | [48,49,50] |
Commercial sector water use, domestic sector water use, public sector water use, power sector water use, mining sector water use, irrigated sector water use, livestock sector water use, and industrial sector water us. | Flow | This study | |
Commercial water demand, domestic water demand, public water demand, power water demand, mining water demand, irrigated water demand, livestock water demand, industrial water demand, total consumptive use, and agricultural consumptive use. | Variable | [40,46,48,49,50] | |
Livestock | Total livestock population | Stock | [45,48,49] |
Livestock change | Flow | This study | |
Livestock growth rate | Variable | [45,48,49] | |
Cultivated Area | Total cultivated area | Stock | [45,47] |
Cultivated area change | Flow | This study | |
Cultivated area growth rate | Variable | [45,47] |
Appendix B
- Area Change Rate = Area Growth Rate*Cultivated Area, Units: hectare/year
- Available Fresh Water = INTEG (Total Groundwater Withdrawals + Total Surface Water Withdrawals: Commercial Sector Water Use, Domestic Sector Water use, Industrial Sector Water Use, Irrigated Sector Water Use, Livestock Sector Water Use, Mining Sector Water Use, Power Sector Water Use, and Public Sector Water Use), Units: Million Cubic Meter
- Change in Livestock = Livestock Growth Rate*Livestock Population, Units: animal/year
- Commerce GW Returns = Total Commerce Withdrawals, Commercial Sector Water Use, Units: Million Cubic Meter/year
- Commercial Sector Water Use = Population*Commercial Water Demand, Units: Million Cubic Meter/year
- Cultivated Area = INTEG (Area Change Rate), Units: hectare
- Domestic Sector Water use = Domestic Water Demand*Population, Units: Million Cubic Meter/year
- Groundwater Return Flows = Irrigated GW Returns + Mining GW Returns, Units: Million Cubic Meter/year
- Groundwater Storage = INTEG (Groundwater Return Flows+ GW Inflow + Infiltration + Surface Recharge, GW Evaporation, GW Outflow, Total Groundwater Withdrawals), Units: Million Cubic Meter
- GW Inflow = Groundwater Storage*Natural GW Inflow, Units: Million Cubic Meter/year
- GW Outflow = Groundwater Storage*Natural GW Outflow, Units: Million Cubic Meter/year
- Industrial SW Returns = Total Industrial Withdrawals, Industrial Sector Water Use, Units: Million Cubic Meter/year
- Irrigated Sector Water Use = Cultivated Area*Irrigation Water Demand Units: Million Cubic Meter/year
- Irrigated SW Returns = Total Irrigated Withdrawals, Irrigated Sector Water Use, Units: Million Cubic Meter/year
- Livestock Population = INTEG (Change in Livestock), Units: animal
- Livestock Sector Water Use = Livestock Population*Livestock Water Demand, Units: Million Cubic Meter/year
- Mining GW Returns = Total Mining Withdrawals, Mining Sector Water Use, Units: Million Cubic Meter/year
- Population = INTEG (Population Change), Units: People
- Population Change = Population Growth Rate*Population, Units: People/year
- Public Sector Water Use = Public Water Demand*Population, Units: Million Cubic Meter/year
- Public SW Returns = Total Public Withdrawals, Public Sector Water Use, Units: Million Cubic Meter/year
- Surface Water = INTEG (Surface Water Returns Flows + Surface Water Inflow, Infiltration-Surface Water Outflows, Total Surface Water Withdrawals), Units: Million Cubic Meter
- Surface Water Outflows = SW Evapotranspiration + USGS outflow + Reservoir Evaporation + Land Evapotranspiration, Units: Million Cubic Meter/year
- Surface Water Returns Flows = Commerce GW Returns + Industrial SW Returns + Irrigated SW Returns + Public SW Returns, Units: Million Cubic Meter/year
- Total Commerce Withdrawals = SW with Commercial + GW with Commercial, Units: Million Cubic Meter/year
- Total Consumptive Use = Commercial Sector Water Use + Domestic Sector Water use + Industrial Sector Water Use + Public Sector Water Use + Power Sector Water Use + Mining Sector Water Use + Agricultural Consumptive Use, Units: Million Cubic Meter/year
- Total Domestic Withdrawals = GW with Domestic + SW with Domestic, Units: Million Cubic Meter/year
- Total Industrial Withdrawals = SW with Industrial + GW with Industrial, Units: Million Cubic Meter/year
- Total Irrigated Withdrawals = GW with Irrigated + SW with Irrigation, Units: Million Cubic Meter/year
- Total Livestock Withdrawals = SW with Livestock+ GW with Livestock, Units: Million Cubic Meter/year
- Total Mining Withdrawals = SW with Mining+ GW with Mining, Units: Million Cubic Meter/year
- Total OSE GW with = GW with Commercial + GW with Domestic + GW with Industrial + GW with Irrigated + GW with Livestock + GW with Mining + GW with Power + GW with Public, Units: Million Cubic Meter/year
- Total OSE SW with = SW with Commercial + SW with Domestic + SW with Industrial + SW with Irrigation + SW with Livestock + SW with Mining + SW with Power + SW with Public, Units: Million Cubic Meter/year
- Total Power Withdrawals = SW with Power + GW with Power, Units: Million Cubic Meter/year
- Total Public Withdrawals = GW with Public + SW with Public, Units: Million Cubic Meter/year
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Name and Vensim Form | Concept | Mathematical Expression |
---|---|---|
Level (Stock or State) | It indicates the primary quantity to be accumulated. Over time, the values grow or decrease. | Level = A(t). It is a dependent variable (unknown variable); time or t is normally an independent one. |
Rate (Flow) | Express actions and operations that increase or decrease stock value over time. It denotes change per unit time of stock. | Rate = dA/dt |
Arrow (Connector) | Express, represent, and connect a direction between two variables, and transport information from variable to variable. | Physical principles governing the phenomena, assumptions or hypotheses we have made. |
Variable Auxiliary Constant | It is generally a flow change, and expresses auxiliary variable used to store and supports constant variables. Over time, constants do not change. | k This is an equation parameter. |
Parameters | Unit | INIT | MINI | MAXI | SDE |
---|---|---|---|---|---|
Population Growth Rate | 1/year | 9.58 × 10−3 | 1.80 × 10−3 | 1.61 × 10−2 | 5.85 × 10−3 |
Cultivated Growth Rate | 1/year | −2.45 × 10−2 | −5.45 × 10−2 | 1.52 × 10−2 | 1.92 × 10−2 |
Livestock Growth Rate | 1/year | −9.59 × 10−3 | −1.06 × 10−1 | 5.49 × 10−2 | 4.49 × 10−2 |
Public Water Demand | Mm3/person/year | 1.98 × 10−4 | 1.97 × 10−4 | 2.38 × 10−4 | 1.16 × 10−5 |
Domestic Water Demand | Mm3/person/year | 1.94 × 10−5 | 1.81 × 10−5 | 2.22 × 10−5 | 1.28 × 10−6 |
Mining Water Demand | Mm3/person/year | 9.20 × 10−5 | 5.30 × 10−5 | 1.55 × 10−4 | 3.01 × 10−5 |
Selected Model Parameters | Statistical Performance Criteria | ||||
---|---|---|---|---|---|
R2 | RMSE | CRM | MAPE | IA | |
Total Population (People) | 0.9936 | 1173.94 | −0.0036 | 0.3722 | 0.9958 |
Total Cultivated Area (Hectare) | 0.9713 | 2046.93 | −0.0035 | 1.0110 | 0.9924 |
Agricultural Consumptive Water Use (Million m3) | 0.9317 | 70.5854 | −0.0764 | 9.3915 | 0.9397 |
Total Consumptive Water Use (Million m3) | 0.9288 | 70.1657 | −0.0696 | 8.3152 | 0.9409 |
Year | Scenarios | |||||
---|---|---|---|---|---|---|
0 | 1 | 2 | 3 | 4 | 5 | |
Total Population (People) | ||||||
2016 | 217,320 | 206,054 | 229,162 | 229,162 | 217,320 | 217,320 |
2020 | 225,769 | 211,235 | 241,250 | 241,250 | 225,769 | 225,769 |
2025 | 236,794 | 217,895 | 257,261 | 257,261 | 236,794 | 236,794 |
2030 | 248,357 | 224,765 | 274,335 | 274,335 | 248,357 | 248,357 |
2035 | 260,485 | 231,852 | 292,542 | 292,542 | 260,485 | 260,485 |
2040 | 273,206 | 239,162 | 311,958 | 311,958 | 273,206 | 273,206 |
2045 | 286,547 | 246,702 | 332,662 | 332,662 | 286,547 | 286,547 |
2050 | 300,540 | 254,481 | 354,740 | 354,740 | 300,540 | 300,540 |
Groundwater Storage Change (Million m3) | ||||||
2016 | −23,097.823 | −22,495.406 | −23,744.261 | −23,638.242 | −23,201.124 | −22,994.525 |
2020 | −24,196.331 | −23,404.882 | −25,060.276 | −24,924.132 | −24,328.062 | −24,064.612 |
2025 | −25,428.424 | −24,377.641 | −26,601.946 | −26,425.967 | −25,597.257 | −25,259.796 |
2030 | −26,521.741 | −25,195.014 | −28,038.307 | −27,819.962 | −26,729.376 | −26,314.174 |
2035 | −27,493.257 | −25,881.566 | −29,379.115 | −29,115.341 | −27,741.542 | −27,244.902 |
2040 | −28,358.043 | −26,457.727 | −30,633.108 | −30,321.124 | −28,649.112 | −28,067.046 |
2045 | −29,129.717 | −26,941.206 | −31,808.965 | −31,445.364 | −29,465.645 | −28,793.813 |
2050 | −29,819.906 | −27,346.845 | −32,914.145 | −32,495.667 | −30,202.926 | −29,437.064 |
Total Water Supply Storage Change [Total Withdrawals] (Million m3) | ||||||
2016 | 7687.724 | 8603.336 | 6711.203 | 7054.311 | 7353.034 | 8022.134 |
2020 | 9056.703 | 10,257.06 | 7756.123 | 8198.834 | 8627.846 | 9485.151 |
2025 | 10,912.046 | 12,501.413 | 9153.210 | 9728.633 | 10,359.215 | 11,463.714 |
2030 | 12,906.921 | 14,913.210 | 10,639.072 | 11,356.812 | 12,223.303 | 13,588.912 |
2035 | 15,022.164 | 17,465.323 | 12,201.225 | 13,071.421 | 14,200.578 | 15,841.103 |
2040 | 17,240.186 | 20,134.501 | 13,827.924 | 14,861.147 | 16,273.256 | 18,203.232 |
2045 | 19,545.303 | 22,901.489 | 15,507.914 | 16,715.124 | 18,425.622 | 20,659.730 |
2050 | 21,923.812 | 25,749.546 | 17,230.101 | 18,623.012 | 20,643.442 | 23,197.046 |
Agricultural Consumptive Water Use (Million m3) | ||||||
2016 | 329.864 | 287.838 | 377.733 | 376.676 | 330.922 | 328.859 |
2020 | 299.734 | 252.902 | 354.956 | 353.675 | 301.015 | 298.534 |
2025 | 265.992 | 215.263 | 328.442 | 326.903 | 267.531 | 264.574 |
2030 | 236.131 | 183.361 | 303.949 | 302.174 | 237.906 | 234.524 |
2035 | 209.703 | 156.312 | 281.321 | 279.331 | 211.693 | 207.93 |
2040 | 186.307 | 133.37 | 260.415 | 258.229 | 188.494 | 184.392 |
2045 | 165.593 | 113.903 | 241.099 | 238.734 | 167.957 | 163.557 |
2050 | 147.249 | 97.3776 | 223.250 | 220.725 | 149.774 | 145.111 |
Total Consumptive Water Use (Million m3) | ||||||
2016 | 411.224 | 342.641 | 488.375 | 464.022 | 434.373 | 388.130 |
2020 | 384.258 | 309.082 | 471.434 | 445.629 | 408.488 | 360.110 |
2025 | 354.643 | 273.215 | 452.651 | 424.961 | 380.252 | 329.157 |
2030 | 329.112 | 243.14 | 436.401 | 406.739 | 356.132 | 302.260 |
2035 | 307.224 | 217.976 | 422.564 | 390.836 | 335.692 | 278.974 |
2040 | 288.590 | 196.977 | 411.032 | 377.134 | 318.548 | 258.906 |
2045 | 272.871 | 179.516 | 401.712 | 365.531 | 304.363 | 241.709 |
2050 | 259.766 | 165.059 | 394.522 | 355.937 | 292.841 | 227.080 |
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Mashaly, A.F.; Fernald, A.G. Analyzing and Assessing Dynamic Behavior of a Physical Supply and Demand System for Sustainable Water Management under a Semi-Arid Environment. Water 2022, 14, 1939. https://doi.org/10.3390/w14121939
Mashaly AF, Fernald AG. Analyzing and Assessing Dynamic Behavior of a Physical Supply and Demand System for Sustainable Water Management under a Semi-Arid Environment. Water. 2022; 14(12):1939. https://doi.org/10.3390/w14121939
Chicago/Turabian StyleMashaly, Ahmed F., and Alexander G. Fernald. 2022. "Analyzing and Assessing Dynamic Behavior of a Physical Supply and Demand System for Sustainable Water Management under a Semi-Arid Environment" Water 14, no. 12: 1939. https://doi.org/10.3390/w14121939
APA StyleMashaly, A. F., & Fernald, A. G. (2022). Analyzing and Assessing Dynamic Behavior of a Physical Supply and Demand System for Sustainable Water Management under a Semi-Arid Environment. Water, 14(12), 1939. https://doi.org/10.3390/w14121939