IDEAS home Printed from https://ideas.repec.org/a/gam/jsusta/v11y2019i21p5893-d279584.html
   My bibliography  Save this article

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2071-1050/11/21/5893/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2071-1050/11/21/5893/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. 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.
    2. 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.
    3. 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.
    4. 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.
    5. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Shifan Deng & Siyu Ma & Xiaowen Zhang & Shiqiang Zhang, 2020. "Integrated Detection of a Complex Underground Water Supply Pipeline System in an Old Urban Community in China," Sustainability, MDPI, vol. 12(4), pages 1-21, February.
    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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. Jeßberger Christoph & Sindram Maximilian & Zimmer Markus, 2011. "Global Warming Induced Water-Cycle Changes and Industrial Production – A Scenario Analysis for the Upper Danube River Basin," Journal of Economics and Statistics (Jahrbuecher fuer Nationaloekonomie und Statistik), De Gruyter, vol. 231(3), pages 415-439, June.
    3. M. W. Straatsma & P. T. M. Vermeulen & M. J. M. Kuijper & M. Bonte & F. G. M. Niele & M. F. P. Bierkens, 2016. "Rapid Screening of Operational Freshwater Availability Using Global Models," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(9), pages 3013-3026, July.
    4. Anja Soboll & Michael Elbers & Roland Barthel & Juergen Schmude & Andreas Ernst & Ralf Ziller, 2011. "Integrated regional modelling and scenario development to evaluate future water demand under global change conditions," Mitigation and Adaptation Strategies for Global Change, Springer, vol. 16(4), pages 477-498, April.
    5. Noora Veijalainen & Tanja Dubrovin & Mika Marttunen & Bertel Vehviläinen, 2010. "Climate Change Impacts on Water Resources and Lake Regulation in the Vuoksi Watershed in Finland," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 24(13), pages 3437-3459, October.
    6. D. González-Zeas & L. Garrote & A. Iglesias & A. Granados & A. Chávez-Jiménez, 2015. "Hydrologic Determinants of Climate Change Impacts on Regulated Water Resources Systems," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 29(6), pages 1933-1947, April.
    7. Dália Loureiro & Aisha Mamade & Marta Cabral & Conceição Amado & Dídia Covas, 2016. "A Comprehensive Approach for Spatial and Temporal Water Demand Profiling to Improve Management in Network Areas," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(10), pages 3443-3457, August.
    8. 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.
    9. Davy Vanham & Stefanie Millinger & Harald Pliessnig & Wolfgang Rauch, 2011. "Rasterised Water Demands: Methodology for Their Assessment and Possible Applications," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 25(13), pages 3301-3320, October.
    10. Wenzhao Zhou & Yufei Wang & Xi Wang & Peng Gao & Ciyun Lin, 2022. "The Economic Value of Water Ecology in Sponge City Construction Based on a Ternary Interactive System," IJERPH, MDPI, vol. 19(23), pages 1-15, November.
    11. Masih Akhbari & Neil Grigg, 2013. "A Framework for an Agent-Based Model to Manage Water Resources Conflicts," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 27(11), pages 4039-4052, September.
    12. Anja Berghammer & Jürgen Schmude, 2014. "The Christmas—Easter Shift: Simulating Alpine Ski Resorts' Future Development under Climate Change Conditions Using the Parameter ‘Optimal Ski Day’," Tourism Economics, , vol. 20(2), pages 323-336, April.
    13. Masih Akhbari & Neil Grigg, 2015. "Managing Water Resources Conflicts: Modelling Behavior in a Decision Tool," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 29(14), pages 5201-5216, November.
    14. Peter Kreins & Martin Henseler & Jano Anter & Frank Herrmann & Frank Wendland, 2015. "Quantification of Climate Change Impact on Regional Agricultural Irrigation and Groundwater Demand," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 29(10), pages 3585-3600, August.
    15. Roland Barthel & Tim Reichenau & Tatjana Krimly & Stephan Dabbert & Karl Schneider & Wolfram Mauser, 2012. "Integrated Modeling of Global Change Impacts on Agriculture and Groundwater Resources," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 26(7), pages 1929-1951, May.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jsusta:v:11:y:2019:i:21:p:5893-:d:279584. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.