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Urban Industrial Water Supply and Demand: System Dynamic Model and Simulation Based on Cobb–Douglas Function

Author

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  • Kebai Li

    (School of Management Science and Engineering & China Institute of Manufacturing Development, Nanjing University of Information Science & Technology, Nanjing 210044, China)

  • Tianyi Ma

    (School of Management Science and Engineering & China Institute of Manufacturing Development, Nanjing University of Information Science & Technology, Nanjing 210044, China)

  • Guo Wei

    (Department of Mathematics and Computer Science, University of North Carolina at Pembroke, Pembroke, NC 28372, USA)

  • Yuqian Zhang

    (School of Management Science and Engineering & China Institute of Manufacturing Development, Nanjing University of Information Science & Technology, Nanjing 210044, China)

  • Xueyan Feng

    (School of Management Science and Engineering & China Institute of Manufacturing Development, Nanjing University of Information Science & Technology, Nanjing 210044, China)

Abstract

In order to meet the needs of water-saving society development, the system dynamics method and the Cobb–Douglas (C–D) production function were combined to build a supply and demand model for urban industrial water use. In this model, the industrial water demand function is expressed as the sum of the general industrial water demand and the power industry water demand, the urban water supply function is expressed as the Cobb–Douglas production function, investment and labor input are used as the control variables, and the difference between supply and demand in various situations is simulated by adjusting their values. In addition, the system simulation is conducted for Suzhou City, Jiangsu Province, China, with 16 sets of different, carefully designed investment and labor input combinations for exploring a most suitable combination of industrial water supply and demand in Suzhou. We divide the results of prediction into four categories: supply less than demand, supply equals demand, supply exceeds demand, and supply much larger than demand. The balance between supply and demand is a most suitable setting for Suzhou City to develop, and the next is the type in which the supply exceeds demand. The other two types cannot meet the development requirements. We concluded that it is easier to adjust the investment than to adjust the labor input when adjusting the control variables to change the industrial water supply. While drawing the ideal combination of investment and labor input, a reasonable range of investment and labor input is also provided: the scope of investment adjustment is 0.6 I 0 − 1.1 I 0 , and the adjustment range of labor input is 0.5 P 0 − 1.2 P 0 .

Suggested Citation

  • Kebai Li & Tianyi Ma & Guo Wei & Yuqian Zhang & Xueyan Feng, 2019. "Urban Industrial Water Supply and Demand: System Dynamic Model and Simulation Based on Cobb–Douglas Function," Sustainability, MDPI, vol. 11(21), pages 1-18, October.
    • Handle: RePEc:gam:jsusta:v:11:y:2019:i:21:p:5893-:d:279584
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    References listed on IDEAS

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    1. Roland Barthel & Stephan Janisch & Darla Nickel & Aleksandar Trifkovic & Thomas Hörhan, 2010. "Using the Multiactor-Approach in G lowa-Danube to Simulate Decisions for the Water Supply Sector Under Conditions of Global Climate Change," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 24(2), pages 239-275, January.
    2. Qinghua Zhang & Yanfang Diao & Jie Dong, 2013. "Regional Water Demand Prediction and Analysis Based on Cobb-Douglas Model," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 27(8), pages 3103-3113, June.
    3. Kebai Li & Tianyi Ma & Guo Wei, 2018. "Multiple Urban Domestic Water Systems: Method for Simultaneously Stabilized Robust Control Decision," Sustainability, MDPI, vol. 10(11), pages 1-22, November.
    4. Kebai Li & Tianyi Ma & Tom Dooling & Guo Wei, 2019. "Urban Comprehensive Water Consumption: Nonlinear Control of Production Factor Input Based upon the C-D Function," Sustainability, MDPI, vol. 11(4), pages 1-19, February.
    5. O. Idowu & J. Awomeso & O. Martins, 2012. "An Evaluation of Demand for and Supply of Potable Water in an Urban Centre of Abeokuta and Environs, Southwestern Nigeria," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 26(7), pages 2109-2121, May.
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    Cited by:

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    2. Fanyu Pu & Songyan Jiang & Ling Zhang, 2023. "Future scenarios of China’s electric vehicle ownership: A modeling study based on system dynamic approach," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 25(9), pages 10017-10028, September.
    3. Linlin Wang & Rongchang Wang & Haiyan Yan, 2021. "System-Dynamics Modeling for Exploring the Impact of Industrial-Structure Adjustment on the Water Quality of the River Network in the Yangtze Delta Area," Sustainability, MDPI, vol. 13(14), pages 1-20, July.

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