Case Studies
Aug 4, 2014

Real-Time Data Assimilation for Improving Linear Municipal Solid Waste Prediction Model: A Case Study in Seattle

Publication: Journal of Energy Engineering
Volume 141, Issue 4

Abstract

A commonly used data assimilation (DA) algorithm, Kalman filter, is integrated with the seasonal autoregressive integrated moving average (SARIMA) model to make a one-step forecast of monthly municipal solid waste (MSW) generation in Seattle. The DA solves the problem that parameters of the forecasting model need to be updated in every forecasting process. The performances of prediction models are compared using mean absolute percentage error (MAPE), root-mean-square-error (RMSE), and 95% confidence interval. The MAPE of the SARIMA model with DA is 0.0422, whereas the MAPE of the SARIMA without DA is 0.0914. A 95% confidence interval of SARIMA without DA keeps increasing, whereas SARIMA with DA remains constant, which means DA raises the stability of SARIMA as time progresses. Results show that DA enables the same MSW prediction model with more accurate and more robust forecast results. The SARIMA parameter updating cycle can be prolonged, which saves time and effort.

Get full access to this article

View all available purchase options and get full access to this article.

Acknowledgments

The authors would like to thank Seattle Public Utilities for providing the monthly MSW data of Seattle from January 1996 to June 2013. This article was supported by the program of International S&T Cooperation “Fined Earth Observation and Recognition of the Impact of Global Change on World Heritage Sites” (Grant No. S2013GR0477).

References

Beigl, P., Lebersorger, S., and Salhofer, S. (2008). “Modelling municipal solid waste generation: A review.” Waste Manage., 28(1), 200–214.
Box, G. E., Jenkins, G. M., and Reinsel, G. C. (2013). Time series analysis: Forecasting and control, Wiley, Hoboken, NJ.
Brockwell, P. J., and Davis, R. A. (1996). “Introduction to time series and forecasting.” Springer, New York.
Chang, N. B., and Lin, Y. T. (1997). “An analysis of recycling impacts on solid waste generation by time series intervention modeling.” Resour. Conserv. Recycl., 19(3), 165–186.
Chen, H. W., and Chang, N. B. (2000). “Prediction analysis of solid waste generation based on grey fuzzy dynamic modeling.” Resour. Conserv. Recycl., 29(1), 1–18.
Chung, S. S. (2010). “Projecting municipal solid waste: The case of Hong Kong SAR.” Resour. Conserv. Recycl., 54(11), 759–768.
Cox, D. R., and Hinkley, D. V. (1979). Theoretical statistics, CRC Press, Boca Raton, FL.
Dai, C., Li, Y. P., and Huang, G. H. (2012). “An interval-parameter chance-constrained dynamic programming approach for capacity planning under uncertainty.” Resour. Conserv. Recycl., 62, 37–50.
Dikici, E., Orderud, F., and Torp, H. (2012). “Best linear unbiased estimator for Kalman filter based left ventricle tracking in 3D+ t echocardiography.” Mathematical Methods in Biomedical Image Analysis (MMBIA), 2012 IEEE Workshop, IEEE, Piscataway, NJ.
Dyson, B., and Chang, N. B. (2005). “Forecasting municipal solid waste generation in a fast-growing urban region with system dynamics modeling.” Waste Manage., 25(7), 669–679.
Eric Stellwagen. (2014). “Forecasting 101: Box-jenkins forecasting.” 〈http://www.forecastpro.com/Trends/forecasting101June2012.html.〉 (Jun. 4. 2014).
Gardner, G., Harvey, A. C., and Phillips, G. D. A. (1980). “Algorithm AS 154: An algorithm for exact maximum likelihood estimation of autoregressive-moving average models by means of Kalman filtering.” Appl. Stat., 29(3), 311–322.
Gómez, V., and Maravall, A. (1994). “Estimation, prediction, and interpolation for nonstationary series with the Kalman filter.” J. Am. Stat. Assoc., 89(426), 611–624.
Grewal, M. S., and Andrews, A. P. (2011). Kalman filtering: Theory and practice using MATLAB, Wiley, Hoboken, NJ.
Harvey, A. C. (1990). Forecasting, structural time series models and the Kalman filter, Cambridge University Press, Cambridge, U.K.
Hippert, H. S., Pedreira, C. E., and Souza, R. C. (2000). “Combining neural networks and ARIMA models for hourly temperature forecast.” Neural Networks, IEEE-INNS-ENNS Int. Joint Conf., Vol. 4, IEEE Computer Society, Piscataway, NJ, 4414–4414.
Krajewski, K. L., Krajewski, W. F., and Holly, F. M. Jr. (1993). “Real-time optimal stochastic control of power plant river heating.” J. Energy Eng., 1–18.
Kun, R., and Jihong, Q. (2014). “Co-occurrence predictor for wind power output.” J. Energy Eng., 04014021.
Kusiak, A., Zheng, H., and Zhang, Z. (2011). “Virtual wind speed sensor for wind turbines.” J. Energy Eng., 59–69.
Liu, H., Tian, H. Q., and Li, Y. F. (2012). “Comparison of two new ARIMA-ANN and ARIMA-Kalman hybrid methods for wind speed prediction.” Appl. Energy, 98, 415–424.
Mori, H., and Jiang, W. (2008). “An ANN-based risk assessment method for carbon pricing.” Electricity Market, 2008. EEM 2008. 5th Int. Conf. on European, IEEE, Piscataway, NJ, 1–6.
Navarro-Esbrı, J., Diamadopoulos, E., and Ginestar, D. (2002). “Time series analysis and forecasting techniques for municipal solid waste management.” Resour. Conserv. Recycl., 35(3), 201–214.
Noori, R., Abdoli, M. A., Ghasrodashti, A. A., and Jalili Ghazizade, M. (2009). “Prediction of municipal solid waste generation with combination of support vector machine and principal component analysis: A case study of Mashhad.” Environ. Prog. Sustainable Energy, 28(2), 249–258.
Noori, R., Karbassi, A., and Salman Sabahi, M. (2010). “Evaluation of PCA and Gamma test techniques on ANN operation for weekly solid waste prediction.” J. Environ. Manage., 91(3), 767–771.
Pearlman, J. G. (1980). “An algorithm for the exact likelihood of a high-order autoregressive-moving average process.” Biometrika, 67(1), 232–233.
Peng, J. Y., and Aston, J. A. (2011). “The state space models toolbox for MATLAB.” J. Stat. Software, 41(6), 1–26.
Ramanna, C. K., and Dodagoudar, G. R. (2012). “Seismic hazard analysis using the adaptive Kernel density estimation technique for Chennai City.” Pure Appl. Geophys., 169(1–2), 55–69.
Sholl, P., and Wolfe, R. K. (1985). “The Kalman filter as an adaptive forecasting procedure for use with Box-Jenkins ARIMA models.” Comput. Ind. Eng., 9(3), 247–262.
Solid Waste Reports. “Seattle public utility.” 〈〉.
Song, J., and He, J. (2014). “A multistep chaotic model for municipal solid waste generation prediction.” Environ. Eng. Sci.
Song, J., Xiang, B., Wang, X., Wu, L., and Chang, C. (2014a). “Application of dynamic data driven application system in environmental science.” Environ. Rev., 22(999), 287–297.
Song, J., et al. (2014b). “Simulated annealing based hybrid forecast for improving daily municipal solid waste generation prediction.” Sci. World J., 2014, in press.
Stellwagen, E. (2014). “ForecastPRO.” 〈http://www.forecastpro.com/Trends/forecasting101June2012.html〉 (Jun. 17, 2014).
Sun, S. (2003). “Multi-sensor optimal information fusion Kalman filter for discrete multichannel ARMA signals.” Intelligent Control. 2003 IEEE Int. Symp., IEEE, Piscataway, NJ, 377–382.
Tran, N., and Reed, D. A. (2001). “ARIMA time series modeling and forecasting for adaptive I/O prefetching.” Proc., 15th Int. Conf. on Supercomputing, ACM, New York, 473–485.
Tseng, F. M., and Tzeng, G. H. (2002). “A fuzzy seasonal ARIMA model for forecasting.” Fuzzy Sets Syst., 126(3), 367–376.
Wang, J., and Wan, W. (2009). “Factors influencing fermentative hydrogen production: A review.” Int. J. Hydrogen Energy, 34(2), 799–811.
Welch, G., and Gary, B. (1995). “An introduction to the Kalman filter.” Univ. of North Carolina, Chapel Hill, NC.
Xu, L., Gao, P., Cui, S., and Liu, C. (2013). “A hybrid procedure for MSW generation forecasting at multiple time scales in Xiamen City, China.” Waste Manage., 33(6), 1324–1331.

Information & Authors

Information

Published In

Go to Journal of Energy Engineering
Journal of Energy Engineering
Volume 141Issue 4December 2015

History

Received: May 7, 2014
Accepted: Jun 18, 2014
Published online: Aug 4, 2014
Discussion open until: Jan 4, 2015
Published in print: Dec 1, 2015

Permissions

Request permissions for this article.

Authors

Affiliations

Jingwei Song [email protected]
Key Laboratory of Digital Earth Sciences, Institute of Remote Sensing and Digital Earth, Chinese Academy of Sciences, No. 9 Dengzhuang South Rd., Haidian, Beijing 100094, China; and Graduate School, Chinese Academy of Sciences, No. 19A Yuquan Rd., Beijing 100049, China (corresponding author). E-mail: [email protected]
Jiaying He
Center for Geospatial Research, Dept. of Geography, Univ. of Georgia, Athens, GA 30602.
Jing Zhen
Research Assistant, Key Laboratory of Digital Earth Sciences, Institute of Remote Sensing and Digital Earth, Chinese Academy of Sciences, No. 9 Dengzhuang South Rd., Haidian, Beijing 100094, China; and Graduate School, Chinese Academy of Sciences, No. 19A Yuquan Rd., Beijing 100049, China.

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share