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An Estimation of Residential Water Demand Using Co-Integration and Error Correction Techniques

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  • Roberto Martínez-Espiñeira

Abstract

In this paper short- and long-run price elasticities of residential water demand are estimated using co-integration and error-correction methods. Unit root tests reveal that water use series and series of other variables affecting use are non-stationary. However, a long-run co-integrating relationship is found in the water demand model, which makes it possible to obtain a partial correction term and to estimate an error correction model. Using monthly time-series observations from Seville, Spain, we find that the price-elasticity of demand is estimated as around -0.1 in the short run and -0.5 in the long run. These results are robust to the use of different specifications.

Suggested Citation

  • Roberto Martínez-Espiñeira, 2007. "An Estimation of Residential Water Demand Using Co-Integration and Error Correction Techniques," Journal of Applied Economics, Taylor & Francis Journals, vol. 10(1), pages 161-184, May.
  • Handle: RePEc:taf:recsxx:v:10:y:2007:i:1:p:161-184
    DOI: 10.1080/15140326.2007.12040486
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    1. Franses, Philip Hans, 1991. "Seasonality, non-stationarity and the forecasting of monthly time series," International Journal of Forecasting, Elsevier, vol. 7(2), pages 199-208, August.
    2. Fouquet, Roger, 1995. "The impact of VAT introduction on UK residential energy demand : An investigation using the cointegration approach," Energy Economics, Elsevier, vol. 17(3), pages 237-247, July.
    3. Perron, Pierre & Vogelsang, Timothy J., "undated". "Level Shifts and Purchasing Power Parity," Instructional Stata datasets for econometrics levshift, Boston College Department of Economics.
    4. Paulo Rodrigues & Philip Hans Franses, 2005. "A sequential approach to testing seasonal unit roots in high frequency data," Journal of Applied Statistics, Taylor & Francis Journals, vol. 32(6), pages 555-569.
    5. Sargan, John Denis & Bhargava, Alok, 1983. "Testing Residuals from Least Squares Regression for Being Generated by the Gaussian Random Walk," Econometrica, Econometric Society, vol. 51(1), pages 153-174, January.
    6. R. Bruce Billings, 1982. "Specification of Block Rate Price Variables in Demand Models," Land Economics, University of Wisconsin Press, vol. 58(3), pages 386-394.
    7. Schwert, G William, 2002. "Tests for Unit Roots: A Monte Carlo Investigation," Journal of Business & Economic Statistics, American Statistical Association, vol. 20(1), pages 5-17, January.
    8. Beenstock, Michael & Goldin, Ephraim & Nabot, Dan, 1999. "The demand for electricity in Israel," Energy Economics, Elsevier, vol. 21(2), pages 168-183, April.
    9. Johansen, Soren & Juselius, Katarina, 1990. "Maximum Likelihood Estimation and Inference on Cointegration--With Applications to the Demand for Money," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 52(2), pages 169-210, May.
    10. Céline Nauges & Alban Thomas, 2003. "Long-run Study of Residential Water Consumption," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 26(1), pages 25-43, September.
    11. Breusch, T S, 1978. "Testing for Autocorrelation in Dynamic Linear Models," Australian Economic Papers, Wiley Blackwell, vol. 17(31), pages 334-355, December.
    12. Hylleberg, S. & Engle, R. F. & Granger, C. W. J. & Yoo, B. S., 1990. "Seasonal integration and cointegration," Journal of Econometrics, Elsevier, vol. 44(1-2), pages 215-238.
    13. Lars Gårn Hansen, 1996. "Water and Energy Price Impacts on Residential Water Demand in Copenhagen," Land Economics, University of Wisconsin Press, vol. 72(1), pages 66-79.
    14. Zivot, Eric & Andrews, Donald W K, 2002. "Further Evidence on the Great Crash, the Oil-Price Shock, and the Unit-Root Hypothesis," Journal of Business & Economic Statistics, American Statistical Association, vol. 20(1), pages 25-44, January.
    15. Maria García-valiñas, 2005. "Efficiency and Equity in Natural Resources Pricing: A Proposal for Urban Water Distribution Service," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 32(2), pages 183-204, October.
    16. Céline Nauges & Alban Thomas, 2000. "Privately Operated Water Utilities, Municipal Price Negotiation, and Estimation of Residential Water Demand: The Case of France," Land Economics, University of Wisconsin Press, vol. 76(1), pages 68-85.
    17. Christopher F. Baum, 2001. "Tests for stationarity of a time series," Stata Technical Bulletin, StataCorp LP, vol. 10(57).
    18. Joseph Beaulieu, J. & Miron, Jeffrey A., 1993. "Seasonal unit roots in aggregate U.S. data," Journal of Econometrics, Elsevier, vol. 55(1-2), pages 305-328.
    19. Arbues, Fernando & Garcia-Valinas, Maria Angeles & Martinez-Espineira, Roberto, 2003. "Estimation of residential water demand: a state-of-the-art review," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 32(1), pages 81-102, March.
    20. Roberto Martinez-Espineira & Celine Nauges, 2004. "Is all domestic water consumption sensitive to price control?," Applied Economics, Taylor & Francis Journals, vol. 36(15), pages 1697-1703.
    21. Osterwald-Lenum, Michael, 1992. "A Note with Quantiles of the Asymptotic Distribution of the Maximum Likelihood Cointegration Rank Test Statistics," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 54(3), pages 461-472, August.
    22. Perron, Pierre, 1989. "The Great Crash, the Oil Price Shock, and the Unit Root Hypothesis," Econometrica, Econometric Society, vol. 57(6), pages 1361-1401, November.
    23. Elliott, Graham & Rothenberg, Thomas J & Stock, James H, 1996. "Efficient Tests for an Autoregressive Unit Root," Econometrica, Econometric Society, vol. 64(4), pages 813-836, July.
    24. Banerjee, Anindya & Lumsdaine, Robin L & Stock, James H, 1992. "Recursive and Sequential Tests of the Unit-Root and Trend-Break Hypotheses: Theory and International Evidence," Journal of Business & Economic Statistics, American Statistical Association, vol. 10(3), pages 271-287, July.
    25. Paulo Rodrigues & Denise Osborn, 1999. "Performance of seasonal unit root tests for monthly data," Journal of Applied Statistics, Taylor & Francis Journals, vol. 26(8), pages 985-1004.
    26. Mary E. Renwick & Sandra O. Archibald, 1998. "Demand Side Management Policies for Residential Water Use: Who Bears the Conservation Burden?," Land Economics, University of Wisconsin Press, vol. 74(3), pages 343-359.
    27. Michael L. Nieswiadomy & David J. Molina, 1989. "Comparing Residential Water Demand Estimates under Decreasing and Increasing Block Rates Using Household Data," Land Economics, University of Wisconsin Press, vol. 65(3), pages 280-289.
    28. Graeme Dandy & Tin Nguyen & Carolyn Davies, 1997. "Estimating Residential Water Demand in the Presence of Free Allowances," Land Economics, University of Wisconsin Press, vol. 73(1), pages 125-139.
    29. Perron, Pierre & Vogelsang, Timothy J, 1992. "Nonstationarity and Level Shifts with an Application to Purchasing Power Parity," Journal of Business & Economic Statistics, American Statistical Association, vol. 10(3), pages 301-320, July.
    30. Engle, R. F. & Granger, C. W. J. & Hallman, J. J., 1989. "Merging short-and long-run forecasts : An application of seasonal cointegration to monthly electricity sales forecasting," Journal of Econometrics, Elsevier, vol. 40(1), pages 45-62, January.
    31. R. G. Taylor & John R. McKean & Robert A. Young, 2004. "Alternate Price Specifications for Estimating Residential Water Demand with Fixed Fees," Land Economics, University of Wisconsin Press, vol. 80(3), pages 463-475.
    32. Godfrey, Leslie G, 1978. "Testing against General Autoregressive and Moving Average Error Models When the Regressors Include Lagged Dependent Variables," Econometrica, Econometric Society, vol. 46(6), pages 1293-1301, November.
    33. Ramanathan, R., 1999. "Short- and long-run elasticities of gasoline demand in India: An empirical analysis using cointegration techniques," Energy Economics, Elsevier, vol. 21(4), pages 321-330, August.
    34. Hendry, David F. & Pagan, Adrian R. & Sargan, J.Denis, 1984. "Dynamic specification," Handbook of Econometrics, in: Z. Griliches† & M. D. Intriligator (ed.), Handbook of Econometrics, edition 1, volume 2, chapter 18, pages 1023-1100, Elsevier.
    35. Engle, Robert & Granger, Clive, 2015. "Co-integration and error correction: Representation, estimation, and testing," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 39(3), pages 106-135.
    36. Christopher F Baum, 2004. "CLEMAO_IO: Stata module to perform unit root tests with one or two structural breaks," Statistical Software Components S444302, Boston College Department of Economics, revised 23 Apr 2018.
    37. Clemente, Jesus & Montanes, Antonio & Reyes, Marcelo, 1998. "Testing for a unit root in variables with a double change in the mean," Economics Letters, Elsevier, vol. 59(2), pages 175-182, May.
    38. Eltony, M. N. & Al-Mutairi, N. H., 1995. "Demand for gasoline in Kuwait : An empirical analysis using cointegration techniques," Energy Economics, Elsevier, vol. 17(3), pages 249-253, July.
    39. Bentzen, Jan, 1994. "An empirical analysis of gasoline demand in Denmark using cointegration techniques," Energy Economics, Elsevier, vol. 16(2), pages 139-143, April.
    40. Julie A. Hewitt & W. Michael Hanemann, 1995. "A Discrete/Continuous Choice Approach to Residential Water Demand under Block Rate Pricing," Land Economics, University of Wisconsin Press, vol. 71(2), pages 173-192.
    41. Céline Nauges & Alban Thomas, 2000. "Dynamique de la consommation d'eau potable des ménages : une étude sur un panel de communes françaises," Économie et Prévision, Programme National Persée, vol. 143(2), pages 175-184.
    42. Newey, Whitney & West, Kenneth, 2014. "A simple, positive semi-definite, heteroscedasticity and autocorrelation consistent covariance matrix," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 33(1), pages 125-132.
    43. Breusch, T S & Pagan, A R, 1979. "A Simple Test for Heteroscedasticity and Random Coefficient Variation," Econometrica, Econometric Society, vol. 47(5), pages 1287-1294, September.
    44. Renwick, Mary E. & Green, Richard D., 2000. "Do Residential Water Demand Side Management Policies Measure Up? An Analysis of Eight California Water Agencies," Journal of Environmental Economics and Management, Elsevier, vol. 40(1), pages 37-55, July.
    45. Engle, Robert F. & Yoo, Byung Sam, 1987. "Forecasting and testing in co-integrated systems," Journal of Econometrics, Elsevier, vol. 35(1), pages 143-159, May.
    46. David L. Chicoine & Ganapathi Ramamurthy, 1986. "Evidence on the Specification of Price in the Study of Domestic Water Demand," Land Economics, University of Wisconsin Press, vol. 62(1), pages 26-32.
    47. Perron, Pierre, 1990. "Testing for a Unit Root in a Time Series with a Changing Mean," Journal of Business & Economic Statistics, American Statistical Association, vol. 8(2), pages 153-162, April.
    48. Breusch, Trevor S & Wickens, Michael R., 1987. "Dynamic Specification, the Long Run and the Estimation of Transformed Regression Models," CEPR Discussion Papers 154, C.E.P.R. Discussion Papers.
    49. Jarque, Carlos M. & Bera, Anil K., 1980. "Efficient tests for normality, homoscedasticity and serial independence of regression residuals," Economics Letters, Elsevier, vol. 6(3), pages 255-259.
    50. Ellen M. Pint, 1999. "Household Responses to Increased Water Rates during the California Drought," Land Economics, University of Wisconsin Press, vol. 75(2), pages 246-266.
    51. Johansen, Soren, 1988. "Statistical analysis of cointegration vectors," Journal of Economic Dynamics and Control, Elsevier, vol. 12(2-3), pages 231-254.
    52. John A. Nordin, 1976. "A Proposed Modification of Taylor's Demand Analysis: Comment," Bell Journal of Economics, The RAND Corporation, vol. 7(2), pages 719-721, Autumn.
    53. Lester D. Taylor, 1975. "The Demand for Electricity: A Survey," Bell Journal of Economics, The RAND Corporation, vol. 6(1), pages 74-110, Spring.
    54. Jasper M. Dalhuisen & Raymond J.G.M. Florax & Henri L.F.M. de Groot & Peter Nijkamp, 2001. "Price and Income Elasticities of Residential Water Demand: Why Empirical Estimates differ," Tinbergen Institute Discussion Papers 01-057/3, Tinbergen Institute.
    55. Engle, Robert F, 1982. "Autoregressive Conditional Heteroscedasticity with Estimates of the Variance of United Kingdom Inflation," Econometrica, Econometric Society, vol. 50(4), pages 987-1007, July.
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    More about this item

    JEL classification:

    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
    • D12 - Microeconomics - - Household Behavior - - - Consumer Economics: Empirical Analysis
    • Q25 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Renewable Resources and Conservation - - - Water

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