Skip to main content

2016 | OriginalPaper | Buchkapitel

Daily Urban Water Demand Forecasting - Comparative Study

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

There are many existing, general purpose models for the forecasting of time series. However, until now, only a small number of experimental studies exist whose goal is to select the forecasting model for a daily, urban water demand series. Moreover, most of the existing studies assume off-line access to data. In this study, we are confronted with the task to select the best forecasting model for the given water demand time series gathered from the water distribution system of Sosnowiec, Poland. In comparison to the existing works, we assume on-line availability of water demand data. Such assumption enables day-by-day retraining of the predictive model. To select the best individual approach, a systematic comparison of numerous state-of-the-art predictive models is presented. For the first time in this paper, we evaluate the approach of averaging forecasts with respect to the on-line available daily water demand time series. In addition, we analyze the influence of missing data, outliers, and external variables on the accuracy of forecasting. The results of experiments provide evidence that the average forecasts outperform all considered individual models, however, the selection of the models used for averaging is not trivial and must be carefully done. The source code of the preformed experiments is available upon request.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Literatur
1.
Zurück zum Zitat Adamowski, J., Fung Chan, H., Prasher, S.O., Ozga-Zielinski, B., Sliusarieva, A.: Comparison of multiple linear and nonlinear regression, autoregressive integrated moving average, artificial neural network, and wavelet artificial neural network methods for urban water demand forecasting in montreal, canada. Water Resour. Res. 48(1) (2012) Adamowski, J., Fung Chan, H., Prasher, S.O., Ozga-Zielinski, B., Sliusarieva, A.: Comparison of multiple linear and nonlinear regression, autoregressive integrated moving average, artificial neural network, and wavelet artificial neural network methods for urban water demand forecasting in montreal, canada. Water Resour. Res. 48(1) (2012)
2.
Zurück zum Zitat Alvisi, S., Franchini, M., Marinelli, A.: A short-term, pattern-based model for water-demand forecasting. J. Hydroinform. 9(1), 39–50 (2007)CrossRef Alvisi, S., Franchini, M., Marinelli, A.: A short-term, pattern-based model for water-demand forecasting. J. Hydroinform. 9(1), 39–50 (2007)CrossRef
3.
Zurück zum Zitat An, A., Chan, C.W., Shan, N., Cercone, N., Ziarko, W.: Applying knowledge discovery to predict water-supply consumption. IEEE Expert 12(4), 72–78 (1997)CrossRef An, A., Chan, C.W., Shan, N., Cercone, N., Ziarko, W.: Applying knowledge discovery to predict water-supply consumption. IEEE Expert 12(4), 72–78 (1997)CrossRef
4.
Zurück zum Zitat Armstrong, J.S.: Principles of Forecasting: A Handbook for Researchers and Practitioners, vol. 30. Springer, Heidelberg (2001) Armstrong, J.S.: Principles of Forecasting: A Handbook for Researchers and Practitioners, vol. 30. Springer, Heidelberg (2001)
5.
Zurück zum Zitat Bardossy, A.: Fuzzy rule-based flood forecasting. In: Abrahart, R.J., See, L.M., Solomatine, D.P. (eds.) Practical Hydroinformatics. Water Science and Technology Library, vol. 68, pp. 177–187. Springer, Heidelberg (2008)CrossRef Bardossy, A.: Fuzzy rule-based flood forecasting. In: Abrahart, R.J., See, L.M., Solomatine, D.P. (eds.) Practical Hydroinformatics. Water Science and Technology Library, vol. 68, pp. 177–187. Springer, Heidelberg (2008)CrossRef
6.
Zurück zum Zitat Berthold, M.R.: Mixed fuzzy rule formation. Int. J. Approx. Reason. 32(23), 67–84 (2003)CrossRefMATH Berthold, M.R.: Mixed fuzzy rule formation. Int. J. Approx. Reason. 32(23), 67–84 (2003)CrossRefMATH
7.
Zurück zum Zitat Brockwell, P., Davis, R.: Introduction to Time Series and Forecasting. Springer, New York (2002)CrossRefMATH Brockwell, P., Davis, R.: Introduction to Time Series and Forecasting. Springer, New York (2002)CrossRefMATH
8.
Zurück zum Zitat Caiado, J.: Performance of combined double seasonal univariate time series models for forecasting water demand. J. Hydrol. Eng. 15(3), 215–222 (2010)CrossRef Caiado, J.: Performance of combined double seasonal univariate time series models for forecasting water demand. J. Hydrol. Eng. 15(3), 215–222 (2010)CrossRef
9.
Zurück zum Zitat Clemen, R.T.: Combining forecasts: a review and annotated bibliography. Int. J. Forecast. 5(4), 559–583 (1989)CrossRef Clemen, R.T.: Combining forecasts: a review and annotated bibliography. Int. J. Forecast. 5(4), 559–583 (1989)CrossRef
10.
Zurück zum Zitat Cortez, P.C., Rocha, M., Neves, J.: Genetic and evolutionary algorithms for time series forecasting. In: Monostori, L., Váncza, J., Ali, M. (eds.) IEA/AIE 2001. LNCS (LNAI), vol. 2070, pp. 393–402. Springer, Heidelberg (2001)CrossRef Cortez, P.C., Rocha, M., Neves, J.: Genetic and evolutionary algorithms for time series forecasting. In: Monostori, L., Váncza, J., Ali, M. (eds.) IEA/AIE 2001. LNCS (LNAI), vol. 2070, pp. 393–402. Springer, Heidelberg (2001)CrossRef
11.
Zurück zum Zitat Cowpertwait, P.S.P., Metcalfe, A.V.: Introductory Time Series with R, 1st edn. Springer Publishing Company, Incorporated, New York (2009)MATH Cowpertwait, P.S.P., Metcalfe, A.V.: Introductory Time Series with R, 1st edn. Springer Publishing Company, Incorporated, New York (2009)MATH
12.
Zurück zum Zitat Dickey, D.A., Fuller, W.A.: Distribution of the estimators for autoregressive time series with a unit root. J. Am. Stat. Assoc. 74(366), 427–431 (1979)MathSciNetCrossRefMATH Dickey, D.A., Fuller, W.A.: Distribution of the estimators for autoregressive time series with a unit root. J. Am. Stat. Assoc. 74(366), 427–431 (1979)MathSciNetCrossRefMATH
13.
Zurück zum Zitat Donkor, E., Mazzuchi, T., Soyer, R., Alan Roberson, J.: Urban water demand forecasting: review of methods and models. J. Water Resour. Plan. Manag. 140(2), 146–159 (2014)CrossRef Donkor, E., Mazzuchi, T., Soyer, R., Alan Roberson, J.: Urban water demand forecasting: review of methods and models. J. Water Resour. Plan. Manag. 140(2), 146–159 (2014)CrossRef
14.
Zurück zum Zitat Ellis, C., Wilson, P.: Another look at the forecast performance of ARFIMA models. Int. Rev. Financ. Anal. 13(1), 63–81 (2004)CrossRef Ellis, C., Wilson, P.: Another look at the forecast performance of ARFIMA models. Int. Rev. Financ. Anal. 13(1), 63–81 (2004)CrossRef
15.
Zurück zum Zitat Froelich, W.: Dealing with seasonality while forecasting urban water demand. In: Neves-Silva, R., Jain, L.C., Howlett, R.J. (eds.) Intelligent Decision Technologies, pp. 171–180. Springer International Publishing, Switzerland (2015) Froelich, W.: Dealing with seasonality while forecasting urban water demand. In: Neves-Silva, R., Jain, L.C., Howlett, R.J. (eds.) Intelligent Decision Technologies, pp. 171–180. Springer International Publishing, Switzerland (2015)
16.
Zurück zum Zitat Froelich, W.: Forecasting daily urban water demand using dynamic gaussian Bayesian network. In: Kozielski, S., Mrozek, D., Kasprowski, P., Malysiak-Mrozek, B., Kostrzewa, D. (eds.) Beyond Databases, Architectures and Structures, pp. 333–342. Springer International Publishing, Switzerland (2015) Froelich, W.: Forecasting daily urban water demand using dynamic gaussian Bayesian network. In: Kozielski, S., Mrozek, D., Kasprowski, P., Malysiak-Mrozek, B., Kostrzewa, D. (eds.) Beyond Databases, Architectures and Structures, pp. 333–342. Springer International Publishing, Switzerland (2015)
17.
Zurück zum Zitat Gardner, E.S., Mckenzie, E.: Forecasting trends in time series. Manag. Sci. 31(10), 1237–1246 (1985)CrossRefMATH Gardner, E.S., Mckenzie, E.: Forecasting trends in time series. Manag. Sci. 31(10), 1237–1246 (1985)CrossRefMATH
19.
Zurück zum Zitat Jach, T., Magiera, E., Froelich, W.: Application of HADOOP to store and process big data gathered from an urban water distribution system. Procedia Eng. 119, 1375–1380 (2015)CrossRef Jach, T., Magiera, E., Froelich, W.: Application of HADOOP to store and process big data gathered from an urban water distribution system. Procedia Eng. 119, 1375–1380 (2015)CrossRef
20.
Zurück zum Zitat Johansen, S.: Estimation and hypothesis testing of cointegration vectors in gaussian vector autoregressive models. Econometrica 59(6), 1551–1580 (1991)MathSciNetCrossRefMATH Johansen, S.: Estimation and hypothesis testing of cointegration vectors in gaussian vector autoregressive models. Econometrica 59(6), 1551–1580 (1991)MathSciNetCrossRefMATH
21.
Zurück zum Zitat Jung, L., Box, G.: On a measure of lack of fit in time series models. Biometrika 65(2), 297–303 (1978)CrossRefMATH Jung, L., Box, G.: On a measure of lack of fit in time series models. Biometrika 65(2), 297–303 (1978)CrossRefMATH
23.
Zurück zum Zitat Kwiatkowski, D., Phillips, P.C., Schmidt, P., Shin, Y.: Testing the null hypothesis of stationarity against the alternative of a unit root: how sure are we that economic time series have a unit root? J. Econom. 54(13), 159–178 (1992)CrossRefMATH Kwiatkowski, D., Phillips, P.C., Schmidt, P., Shin, Y.: Testing the null hypothesis of stationarity against the alternative of a unit root: how sure are we that economic time series have a unit root? J. Econom. 54(13), 159–178 (1992)CrossRefMATH
24.
Zurück zum Zitat Liu, J.Q., Zhang, T.Q., Yu, S.K.: Chaotic phenomenon and the maximum predictable time scale of observation series of urban hourly water consumption. J. Zhejiang Univ. Sci. 5(9), 1053–1059 (2004)CrossRef Liu, J.Q., Zhang, T.Q., Yu, S.K.: Chaotic phenomenon and the maximum predictable time scale of observation series of urban hourly water consumption. J. Zhejiang Univ. Sci. 5(9), 1053–1059 (2004)CrossRef
25.
Zurück zum Zitat Machiwal, D., Jha, M.K.: Hydrologic Time Series Analysis: Theory and Practice. Springer, The Netherlands (2012)CrossRef Machiwal, D., Jha, M.K.: Hydrologic Time Series Analysis: Theory and Practice. Springer, The Netherlands (2012)CrossRef
26.
Zurück zum Zitat Magiera, E., Froelich, W.: Integrated support system for efficient water usage and resources management (ISS-EWATUS). Procedia Eng. 89, 1066–1072 (2014)CrossRef Magiera, E., Froelich, W.: Integrated support system for efficient water usage and resources management (ISS-EWATUS). Procedia Eng. 89, 1066–1072 (2014)CrossRef
27.
Zurück zum Zitat Magiera, E., Froelich, W.: Application of Bayesian networks to the forecasting of daily water demand. In: Neves-Silva, R., Jain, L., Howlett, R. (eds.) Intelligent Decision Technologies, pp. 385–393. Springer International Publishing, Switzerland (2015) Magiera, E., Froelich, W.: Application of Bayesian networks to the forecasting of daily water demand. In: Neves-Silva, R., Jain, L., Howlett, R. (eds.) Intelligent Decision Technologies, pp. 385–393. Springer International Publishing, Switzerland (2015)
28.
Zurück zum Zitat MatíAs, J.M., Febrero-Bande, M., GonzáLez-Manteiga, W., Reboredo, J.C.: Boosting garch and neural networks for the prediction of heteroskedastic time series. Math. Comput. Model. 51(3–4), 256–271 (2010)MathSciNetCrossRefMATH MatíAs, J.M., Febrero-Bande, M., GonzáLez-Manteiga, W., Reboredo, J.C.: Boosting garch and neural networks for the prediction of heteroskedastic time series. Math. Comput. Model. 51(3–4), 256–271 (2010)MathSciNetCrossRefMATH
29.
Zurück zum Zitat Mavromatidis, L.E., Bykalyuk, A., Lequay, H.: Development of polynomial regression models for composite dynamic envelopes thermal performance forecasting. Appl. Energy 104, 379–391 (2013)CrossRef Mavromatidis, L.E., Bykalyuk, A., Lequay, H.: Development of polynomial regression models for composite dynamic envelopes thermal performance forecasting. Appl. Energy 104, 379–391 (2013)CrossRef
30.
Zurück zum Zitat Pearson, R.K.: Outliers in process modeling and identification. IEEE Trans. Control Syst. Technol. 10(1), 55–63 (2002)CrossRef Pearson, R.K.: Outliers in process modeling and identification. IEEE Trans. Control Syst. Technol. 10(1), 55–63 (2002)CrossRef
31.
Zurück zum Zitat Pulido-Calvo, I., Gutirrez-Estrada, J.C.: Improvedfrigation water demand forecasting using a soft-computing hybrid model. Biosyst. Eng. 102(2), 202–218 (2009)CrossRef Pulido-Calvo, I., Gutirrez-Estrada, J.C.: Improvedfrigation water demand forecasting using a soft-computing hybrid model. Biosyst. Eng. 102(2), 202–218 (2009)CrossRef
32.
Zurück zum Zitat Pulido-Calvo, I., Montesinos, P., Roldn, J., Ruiz-Navarro, F.: Linear regressions and neural approaches to water demand forecasting in irrigation districts with telemetry systems. Biosyst. Eng. 97(2), 283–293 (2007)CrossRef Pulido-Calvo, I., Montesinos, P., Roldn, J., Ruiz-Navarro, F.: Linear regressions and neural approaches to water demand forecasting in irrigation districts with telemetry systems. Biosyst. Eng. 97(2), 283–293 (2007)CrossRef
33.
Zurück zum Zitat Qi, C., Chang, N.B.: System dynamics modeling for municipal water demand estimation in an urban region under uncertain economic impacts. J. Environ. Manag. 92(6), 1628–1641 (2011)CrossRef Qi, C., Chang, N.B.: System dynamics modeling for municipal water demand estimation in an urban region under uncertain economic impacts. J. Environ. Manag. 92(6), 1628–1641 (2011)CrossRef
35.
Zurück zum Zitat Reeves, G.R., Lawrence, K.D., Lawrence, S.M., Guerard Jr., J.B.: Combining earnings forecasts using multiple objective linear programming. Comput. Oper. Res. 15(6), 551–559 (1988)CrossRef Reeves, G.R., Lawrence, K.D., Lawrence, S.M., Guerard Jr., J.B.: Combining earnings forecasts using multiple objective linear programming. Comput. Oper. Res. 15(6), 551–559 (1988)CrossRef
36.
Zurück zum Zitat Riedmiller, M., Braun, H.: A direct adaptive method for faster backpropagation learning: the RPROP algorithm. In: Proceedings of the IEEE International Conference on Neural Networks (ICNN), pp. 586–591 (1993) Riedmiller, M., Braun, H.: A direct adaptive method for faster backpropagation learning: the RPROP algorithm. In: Proceedings of the IEEE International Conference on Neural Networks (ICNN), pp. 586–591 (1993)
37.
Zurück zum Zitat Shmueli, G.: Practical Time Series Forecasting, 2nd edn. LLC, New York (2011). Statistics.com Shmueli, G.: Practical Time Series Forecasting, 2nd edn. LLC, New York (2011). Statistics.com
38.
Zurück zum Zitat Shumway, R.H., Stoffer, D.S.: Time Series Analysis and Its Applications. Springer, New York (2000)CrossRefMATH Shumway, R.H., Stoffer, D.S.: Time Series Analysis and Its Applications. Springer, New York (2000)CrossRefMATH
39.
Zurück zum Zitat Tersvirta, T., Lin, C.F., Granger, C.W.J.: Power of the neural network linearity test. J. Time Ser. Anal. 14(2), 209–220 (1993)CrossRef Tersvirta, T., Lin, C.F., Granger, C.W.J.: Power of the neural network linearity test. J. Time Ser. Anal. 14(2), 209–220 (1993)CrossRef
40.
Zurück zum Zitat Timmermann, A., Codes, J.: Forecast combinations. In: Handbook of Economic Forecasting, pp. 135–196. Elsevier Press (2006) Timmermann, A., Codes, J.: Forecast combinations. In: Handbook of Economic Forecasting, pp. 135–196. Elsevier Press (2006)
41.
Zurück zum Zitat Wallis, K.F.: Combining forecasts: forty years later. Appl. Financ. Econ. 21(1–2), 33–41 (2011)CrossRef Wallis, K.F.: Combining forecasts: forty years later. Appl. Financ. Econ. 21(1–2), 33–41 (2011)CrossRef
42.
Zurück zum Zitat Xiao, Z., Gong, K., Zou, Y.: A combined forecasting approach based on fuzzy soft sets. J. Comput. Appl. Math. 228(1), 326–333 (2009)MathSciNetCrossRefMATH Xiao, Z., Gong, K., Zou, Y.: A combined forecasting approach based on fuzzy soft sets. J. Comput. Appl. Math. 228(1), 326–333 (2009)MathSciNetCrossRefMATH
43.
Zurück zum Zitat Xizhu, W.: Forecasting of urban water demand based on Chaos theory. In: Control Conference, CCC 2007, pp. 441–444, July 2007. (Chinese) Xizhu, W.: Forecasting of urban water demand based on Chaos theory. In: Control Conference, CCC 2007, pp. 441–444, July 2007. (Chinese)
44.
Zurück zum Zitat Yasar, A., Bilgili, M., Simsek, E.: Water demand forecasting based on stepwise multiple nonlinear regression analysis. Arab. J. Sci. Eng. 37(8), 2333–2341 (2012)CrossRef Yasar, A., Bilgili, M., Simsek, E.: Water demand forecasting based on stepwise multiple nonlinear regression analysis. Arab. J. Sci. Eng. 37(8), 2333–2341 (2012)CrossRef
45.
Zurück zum Zitat Yin-shan, X., Ya-dong, M., Ting, Y.: Combined forecasting model of urban water demand under changing environment. In: 2011 International Conference on Electric Technology and Civil Engineering (ICETCE), pp. 1103–1107, April 2011 Yin-shan, X., Ya-dong, M., Ting, Y.: Combined forecasting model of urban water demand under changing environment. In: 2011 International Conference on Electric Technology and Civil Engineering (ICETCE), pp. 1103–1107, April 2011
Metadaten
Titel
Daily Urban Water Demand Forecasting - Comparative Study
verfasst von
Wojciech Froelich
Copyright-Jahr
2016
DOI
https://doi.org/10.1007/978-3-319-34099-9_49

Premium Partner