Skip to main content
Log in

Leakage Rate Model of Urban Water Supply Networks Using Principal Component Regression Analysis

  • Research Article
  • Published:
Transactions of Tianjin University Aims and scope Submit manuscript

Abstract

To analyze the factors affecting the leakage rate of water distribution system, we built a macroscopic “leakage rate–leakage factors” (LRLF) model. In this model, we consider the pipe attributes (quality, diameter, age), maintenance cost, valve replacement cost, and annual average pressure. Based on variable selection and principal component analysis results, we extracted three main principle components—the pipe attribute principal component (PAPC), operation management principal component, and water pressure principal component. Of these, we found PAPC to have the most influence. Using principal component regression, we established an LRLF model with no detectable serial correlations. The adjusted R 2 and RMSE values of the model were 0.717 and 2.067, respectively. This model represents a potentially useful tool for controlling leakage rate from the macroscopic viewpoint.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6

Similar content being viewed by others

References

  1. Fagan JE, Reuter MA, Langford KJ (2010) Dynamic performance metrics to assess sustainability and cost effectiveness of integrated urban water systems. Resour Conserv Recycl 54(10):719–736

    Article  Google Scholar 

  2. Kleiner Y, Rajani B (2001) Comprehensive review of structural deterioration of water mains: statistical models. Urb Water 3(3):151–164

    Article  Google Scholar 

  3. Schouten M, Halim RD (2010) Resolving strategy paradoxes of water loss reduction: a synthesis in Jakarta. Resour Conserv Recycl 54(12):1322–1330

    Article  Google Scholar 

  4. Morais DC, de Almeida AT (2007) Group decision-making for leakage management strategy of water network. Resour Conserv Recycl 52(2):441–459

    Article  Google Scholar 

  5. Kingdom B, Liemberger R, Marin P (2006) The challenge of reducing non-revenue water in developing countries. How the private sector can help: a look at performance-based service contracting. Water Supply Sanitation Sect Board Discuss Pap Ser 8:11–24

    Google Scholar 

  6. Lu T, Liu Y, Li J et al (2013) Leakage situation and control solution of China water supply pipeline. J Fudan Univ (Natural Science) 52(6):807–810 (in Chinese)

    Google Scholar 

  7. Zarghami M, Akbariyeh S (2012) System dynamics modeling for complex urban water systems: application to the city of Tabriz, Iran. Resour Conserv Recycl 60(3):99–106

    Article  Google Scholar 

  8. Francisco González-Gómez, García-Rubio Miguel A, Jorge Guardiola (2011) Why is non-revenue water so high in so many cities? Int J Water Resour Dev 27(2):345–360

    Article  Google Scholar 

  9. Kang J, Zou ZH (2010) Time prediction model for pipeline leakage based on grey relational analysis. In: International Conference on Circuit and Signal Processing & 2010 Second IITA International Joint Conference on Artificial Intelligence. 2019–2024

  10. Xu Q, Chen QW, Li WF et al (2011) Pipe break prediction based on evolutionary data-driven methods with brief recorded data. Reliab Eng Syst Saf 96(8):942–948

    Article  Google Scholar 

  11. Zhang HW, Niu ZG, Chen CH et al (2001) Study on the prediction model for water supply net leakage. China Water Wastewater 17(6):7–9 (in Chinese)

    Google Scholar 

  12. Luo HL, Fu WX, Zhang Z (2010) Material and diameter selection of pipe network and its leakage control. Energy Conserv Environ Prot 1:44–46 (in Chinese)

    Google Scholar 

  13. Marunga A, Hoko Z, Kaseke E (2006) Pressure management as a leakage reduction and water demand management tool: the case of the City of Mutare, Zimbabwe. Phys Chem Earth 31(15):763–770

    Article  Google Scholar 

  14. Pelletier GV, Mailhot A, Villeneuve JP (2003) Modeling water pipe breaks—three case studies. J Water Resour Plan Manag 129(2):115–123

    Article  Google Scholar 

  15. National Bureau of Statistics of the People’s Republic of China. http://data.stats.gov.cn/search.htm?s=2016%20%E5%A4%A9%E6%B4%A5%20%E4%BA%BA%E5%8F%A3, 2016-04-04 (in Chinese)

  16. Deng XT (2012) Urban water supply pipe network leakage factor analysis and control. Dissertation, School of Environmental Science and Engineering, Taiyuan University of Technology, Taiyuan, China (in Chinese)

  17. Burn S, Desilva D, Eiswirth M et al (1999) Pipe leakage: future challenges and solutions. World Highw Routes Du Monde 19(4):80–90

    Google Scholar 

  18. Gupta R, Nair AGR, Ormsbee L (2016) Leakage as pressure-driven demand in design of water distribution networks. J Water Resour Plan Manag 142(6):04016005

    Article  Google Scholar 

  19. Germanopoulos G, Jowitt PW (1989) Leakage reduction by excess pressure minimization in a water supply network. Proceedings of the Institution of Civil Engineers. Part 2. Res Theory 87:195–214

    Google Scholar 

  20. Wu TM (2013) Study on leakage cause and countermeasure of pipe network in Ningbo.http://www.chinacitywater.org/rdzt/guanwanglousun/7070-7.shtml,2013-05-21 (in Chinese)

  21. Cui H (2007) Determination model for replacement of water pipeline. Eng Sci 9(9):68–71

    Google Scholar 

  22. Abdul-Wahab SA, Bakheit CS, Al-Alawi SM (2005) Principal component and multiple regression analysis in modelling of ground-level ozone and factors affecting its concentrations. Environ Model Softw 20(10):1263–1271

    Article  Google Scholar 

  23. Statheropoulos M, Vassiliadis N, Pappa A (1998) Principal component and canonical correlation analysis for examining air pollution and meteorological data. Atmos Environ 32(6):1087–1095

    Article  Google Scholar 

Download references

Acknowledgements

This study was supported by the Ministry of Science and Technology of China (No. 2014ZX07203-009), the Fundamental Research Funds for the Central Universities, and the Program for New Century Excellent Talents at the University of China.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Ying Zhang.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Niu, Z., Wang, C., Zhang, Y. et al. Leakage Rate Model of Urban Water Supply Networks Using Principal Component Regression Analysis. Trans. Tianjin Univ. 24, 172–181 (2018). https://doi.org/10.1007/s12209-017-0090-x

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12209-017-0090-x

Keywords

Navigation