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Case Studies
Nov 18, 2021

A Strategy to Assess Water Meter Performance

Publication: Journal of Water Resources Planning and Management
Volume 148, Issue 2

Abstract

Apparent water losses can be problematic to water companies’ revenues. This type of loss is very difficult to detect and quantify and is often associated with water meter anomalies. This study was motivated by a water company’s challenge that links a decrease in water consumption to water meters’ malfunction. The aim is to develop a strategy to detect decreasing water usage patterns, contributing to meter performance assessment. The basis of the approach is a combination of statistical methods. First, the time series of billed water consumption is decomposed using Seasonal-Trend decomposition based on Loess. Next, breakpoint analysis is performed on the seasonally adjusted time series. After that, the Mann–Kendall test and Sen’s slope estimator are used to analyze periods of progressive decrease changes in water consumption, defined by breakpoints. A quantitative indicator of this change is proposed. The strategy was successfully applied to eight-time series of water consumption from the Algarve, Portugal.

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Data Availability Statement

The data, models, and the code used that support this study’s findings are available in a repository online: https://github.com/ClaraCordeiro/StrategyWaterMeterPerformance.

Reproducible Results

Soraia Pereira (Universidade de Lisboa) downloaded all the materials, installed, ran the models using the data and functions in “Workspace_data_functions.RData”, and reproduced the results in Tables 1 and 2.

Acknowledgments

The authors would like to thank the editors, two referees, and a reproducibility reviewer for their constructive comments and suggestions, which greatly improved this paper and the information available in the GitHub repository. The idea behind this work began at the 140th European Study Group with Industry (ESGI140), held in Portugal in June 2018, and it was motivated by the challenge proposed by Infraquinta (https://www.infraquinta.pt/en/) under the theme “Evaluating Water Meters.” The authors are grateful to the water company Infraquinta and Loulé Municipality (http://www.cm-loule.pt/pt/Default.aspx) for providing the water consumption data and inside technical guidance. Clara Cordeiro is partially financed by national funds through FCT—Fundação para a Ciência e Tecnologia under the project UIDB/00006/2020. Ana Borges work has been supported by national funds through FCT—Fundação para a Ciência e Tecnologia through project UIDB/04728/2020. M. Rosário Ramos was partially supported by National Funding from FCT—Fundação para a Ciência e Tecnologia under the project UIDB/04561/2020.

References

Arregui, F., J. Soriano, J. Garcia-Serra, and R. Cobacho. 2013. “ Proposal of a systematic methodology to estimate apparent losses due to water meter inaccuracies.” Water Sci. Technol. Water Supply 13 ( 5 ): 1324 – 1330. https://doi.org/10.2166/ws.2013.138.
Arregui, F. J., E. Cabrera, R. Cobacho, and J. Garcia-Serra. 2006. “ Reducing apparent losses caused by meters inaccuracies.” Water Pract. Technol. 1 ( 4 ): wpt2006093. https://doi.org/10.2166/wpt.2006.093.
Arregui, F. J., R. Cobacho, J. Soriano, and R. Jimenez-Redal. 2018. “ Calculation proposal for the economic level of apparent losses (ELAL) in a water supply system.” Water 10 ( 12 ): 1809. https://doi.org/10.3390/w10121809.
Awty-Carroll, K., P. Bunting, A. Hardy, and G. Bell. 2019. “ An evaluation and comparison of four dense time series change detection methods using simulated data.” Remote Sens. 11 ( 23 ): 2779. https://doi.org/10.3390/rs11232779.
Cleveland, R. B., W. S. Cleveland, J. E. McRae, and I. Terpenning. 1990. “ A STL: A seasonal-trend decomposition procedure based on loess.” J. Off. Stat. 6 ( 1 ): 3 – 73.
Cordeiro, C. 2016. “stl.fit(): Function developed in cristina et al. (2016).” Accessed May 21, 2020. https://github.com/ClaraCordeiro/stl.fit.
Cordeiro, C., A. Borges, and M. R. Ramos. 2020. “Script, dataset and functions used in a strategy to assess water meter performance.” Accessed December 23, 2020. https://github.com/ClaraCordeiro/StrategyWaterMeterPerformance.
Criminisi, A., C. Fontanazza, G. Freni, and G. L. Loggia. 2009. “ Evaluation of the apparent losses caused by water meter under-registration in intermittent water supply.” Water Sci. Technol. 60 ( 9 ): 2373 – 2382. https://doi.org/10.2166/wst.2009.423.
Cristina, S., C. Cordeiro, S. Lavender, P. Costa Goela, J. Icely, and A. Newton. 2016. “ Meris phytoplankton time series products from the SW Iberian Peninsula (sagres) using seasonal-trend decomposition based on loess.” Remote Sens. 8 ( 6 ): 449. https://doi.org/10.3390/rs8060449.
FEMS. 2021. “Àgua distribuìda/consumida por habitante. Onde se utiliza, em média, por pessoa, mais e menos água canalizada?” Accessed February 17, 2020. https://www.pordata.pt/Municipios/%C3%81gua+distribu%C3%ADda+consumida+por+habitante-484.
Fontanazza, C. M., V. Notaro, V. Puleo, and G. Freni. 2015. “ The apparent losses due to metering errors: A proactive approach to predict losses and schedule maintenance.” Urban Water J. 12 ( 3 ): 229 – 239. https://doi.org/10.1080/1573062X.2014.882363.
Fourie, R., A. L. Marnewick, and N. Joseph. 2020. “ An empirical analysis of residential meter degradation in Gauteng Province, South Africa.” Water SA 46 ( 4 ): 645 – 655.
Gelažanskas, L., and K. A. Gamage. 2015. “ Forecasting hot water consumption in residential houses.” Energies 8 ( 11 ): 12702 – 12717. https://doi.org/10.3390/en81112336.
Gocic, M., and S. Trajkovic. 2013. “ Analysis of changes in meteorological variables using Mann-Kendall and Sen’s slope estimator statistical tests in Serbia.” Global Planet. Change 100 ( Jan ): 172 – 182. https://doi.org/10.1016/j.gloplacha.2012.10.014.
Helsel, D. R., and R. M. Hirsch. 2002. Vol. 323 of Statistical methods in water resources. Reston, VA: ASCE.
Hester, C. M., and K. L. Larson. 2016. “ Time-series analysis of water demands in three North Carolina cities.” J. Water Resour. Plann. Manage. 142 ( 8 ): 05016005. https://doi.org/10.1061/(ASCE)WR.1943-5452.0000659.
Hyndman, R., G. Athanasopoulos, C. Bergmeir, G. Caceres, L. Chhay, M. O’Hara-Wild, F. Petropoulos, S. Razbash, E. Wang, and F. Yasmeen. 2021. “Forecast: Forecasting functions for time series and linear models.” Accessed June 1, 2021. http://pkg.robjhyndman.com/forecast.
Hyndman, R. J., and G. Athanasopoulos. 2018. Forecasting: Principles and practice. 2nd ed. Melbourne, Australia: OTexts.
Hyndman, R. J., and A. B. Koehler. 2006. “ Another look at measures of forecast accuracy.” Int. J. Forecasting 22 ( 4 ): 679 – 688. https://doi.org/10.1016/j.ijforecast.2006.03.001.
Kadenge, M. J., V. G. Masanja, and M. J. Mkandawile. 2020. “ Optimisation of water loss management strategies: Multi-criteria decision analysis approaches.” J. Math. Inf. 18 ( Feb ): 105 – 119. https://doi.org/10.22457/jmi.v18a9166.
Kandiah, V. K., E. Z. Berglund, and A. R. Binder. 2016. “ Cellular automata modeling framework for urban water reuse planning and management.” J. Water Resour. Plann. Manage. 142 ( 12 ): 04016054. https://doi.org/10.1061/(ASCE)WR.1943-5452.0000696.
Kendall, M. 1975. Rank correlation methods. Granville, OH : Charles Griffin.
Lafare, A. E., D. W. Peach, and A. G. Hughes. 2016. “ Use of seasonal trend decomposition to understand groundwater behaviour in the Permo-Triassic sandstone aquifer, Eden Valley, UK.” Hydrogeol. J. 24 ( 1 ): 141 – 158. https://doi.org/10.1007/s10040-015-1309-3.
Mann, H. B. 1945. “ Nonparametric tests against trend.” Econometrica J. Econom. Soc. 13 ( 3 ): 245 – 259. https://doi.org/10.2307/1907187.
Miller, C. 2019. “ What’s in the box?! Towards explainable machine learning applied to non-residential building smart meter classification.” Energy Build. 199 ( Sep ): 523 – 536. https://doi.org/10.1016/j.enbuild.2019.07.019.
Miller, C., and F. Meggers. 2017. “ Mining electrical meter data to predict principal building use, performance class, and operations strategy for hundreds of non-residential buildings.” Energy Build. 156 ( Dec ): 360 – 373. https://doi.org/10.1016/j.enbuild.2017.09.056.
Moahloli, A., A. Marnewick, and J. Pretorius. 2019. “ Domestic water meter optimal replacement period to minimize water revenue loss.” Water SA 45 ( 2 ): 165 – 173. https://doi.org/10.4314/wsa.v45i2.02.
Monedero, I., F. Biscarri, J. I. Guerrero, M. Peña, M. Roldán, and C. León. 2016. “ Detection of water meter under-registration using statistical algorithms.” J. Water Resour. Plann. Manage. 142 ( 1 ): 04015036. https://doi.org/10.1061/(ASCE)WR.1943-5452.0000562.
Mutikanga, H. E., S. K. Sharma, and K. Vairavamoorthy. 2011. “ Assessment of apparent losses in urban water systems.” Water Environ. J. 25 ( 3 ): 327 – 335. https://doi.org/10.1111/j.1747-6593.2010.00225.x.
Ncube, M., and A. Taigbenu. 2019. “ Assessment of apparent losses due to meter inaccuracy—A comparative approach.” Water SA 45 ( 2 ): 174 – 182. https://doi.org/10.4314/wsa.v45i2.03.
Ohana-Levi, N., S. Munitz, A. Ben-Gal, A. Schwartz, A. Peeters, and Y. Netzer. 2020. “ Multiseasonal grapevine water consumption—Drivers and forecasting.” Agric. For. Meteorol. 280 ( Jan ): 107796. https://doi.org/10.1016/j.agrformet.2019.107796.
Oviedo-Ocaña, E., I. Dominguez, J. Celis, L. Blanco, I. Cotes, S. Ward, and Z. Kapelan. 2020. “ Water-loss management under data scarcity: Case study in a small municipality in a developing country.” J. Water Resour. Plann. Manage. 146 ( 3 ): 05020001. https://doi.org/10.1061/(ASCE)WR.1943-5452.0001162.
Pacheco, V. M. F., R. E. Valdés, E. B. Gil, A. N. Manso, and E. Á. Álvarez. 2020. “ Techno-economic analysis of residential water meters: A practical example.” Water Resour. Manage. 34 ( Jun ): 2471 – 2484. https://doi.org/10.1007/s11269-020-02564-x.
Pohlert, T. 2020. “Trend: Non-parametric trend tests and change-point detection.” Accessed May 21, 2020. https://CRAN.R-project.org/package=trend.
Quesnel, K. J., and N. K. Ajami. 2017. “ Changes in water consumption linked to heavy news media coverage of extreme climatic events.” Sci. Adv. 3 ( 10 ): e1700784. https://doi.org/10.1126/sciadv.1700784.
R Core Team. 2021. R: A language and environment for statistical computing. Vienna, Austria : R Foundation for Statistical Computing.
Reynaud, A. 2015. “Modelling household water demand in Europe—Insights from a cross-country econometric analysis of EU-28 countries.” In Insights from a cross-country econometric analysis of EU, 28. Luxembourg: Publications Office of the European Union.
Richards, G. L., M. C. Johnson, and S. L. Barfuss. 2010. “ Apparent losses caused by water meter inaccuracies at ultralow flows.” J. Am. Water Works Assoc. 102 ( 5 ): 123 – 132. https://doi.org/10.1002/j.1551-8833.2010.tb10115.x.
Sen, P. K. 1968. “ Estimates of the regression coefficient based on Kendall’s tau.” J. Am. Stat. Assoc. 63 ( 324 ): 1379 – 1389. https://doi.org/10.1080/01621459.1968.10480934.
Sharma, S., D. A. Swayne, and C. Obimbo. 2016. “ Trend analysis and change point techniques: A survey.” Energy Ecol. Environ. 1 ( 3 ): 123 – 130. https://doi.org/10.1007/s40974-016-0011-1.
Verbesselt, J., R. Hyndman, G. Newnham, and D. Culvenor. 2010. “ Detecting trend and seasonal changes in satellite image time series.” Remote Sens. Environ. 114 ( 1 ): 106 – 115. https://doi.org/10.1016/j.rse.2009.08.014.
Willmott, C. J., and K. Matsuura. 2005. “ Advantages of the mean absolute error (MAE) over the root mean square error (RMSE) in assessing average model performance.” Clim. Res. 30 ( 1 ): 79 – 82. https://doi.org/10.3354/cr030079.
Zeileis, A., C. Kleiber, W. Krämer, and K. Hornik. 2003. “ Testing and dating of structural changes in practice.” Comput. Stat. Data Anal. 44 ( 1–2 ): 109 – 123. https://doi.org/10.1016/S0167-9473(03)00030-6.
Zeileis, A., F. Leisch, K. Hornik, and C. Kleiber. 2002. “ Strucchange: An R package for testing for structural change in linear regression models.” J. Stat. Software 7 ( 2 ): 1 – 38. https://doi.org/10.18637/jss.v007.i02.

Information & Authors

Information

Published In

Go to Journal of Water Resources Planning and Management
Journal of Water Resources Planning and Management
Volume 148Issue 2February 2022

History

Received: Jul 29, 2020
Accepted: Sep 13, 2021
Published online: Nov 18, 2021
Published in print: Feb 1, 2022
Discussion open until: Apr 18, 2022

Authors

Affiliations

Assistant Professor, Faculdade Ciências e Tecnologia, Universidade do Algarve, Faro 8005-139, Portugal; Centro de Estatística e Aplicações, Faculdade de Ciências, Universidade de Lisboa, Lisboa 1749-016, Portugal (corresponding author). ORCID: https://orcid.org/0000-0002-1026-6078. Email: [email protected]
Assistant Professor, Centro de Inovação e Investigação em Ciências Empresariais e Sistemas de Informação, Escola Superior de Tecnologia e Gestão, Politécnico do Porto, Felgueiras, Porto 4610-156, Portugal. ORCID: https://orcid.org/0000-0003-4244-5393
M. Rosário Ramos
Assistant Professor, Dept. of Sciences and Technology, Universidade Aberta, Rua da Escola Politécnica, 147, Lisboa 1269-001, Portugal; Center of Mathematics, Fundamental Applications and Operations Research, Faculdade de Ciências, Universidade de Lisboa, Lisboa 1749-016, Portugal.

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