[go: up one dir, main page]

IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/615.html
   My bibliography  Save this paper

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

Author

Listed:
  • Martinez-Espineira, Roberto
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. The empirical application uses monthly time-series observations from Seville (Spain). 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

  • Martinez-Espineira, Roberto, 2005. "An Estimation of Residential Water Demand Using Co-Integration and Error Correction Techniques," MPRA Paper 615, University Library of Munich, Germany, revised Jan 2006.
  • Handle: RePEc:pra:mprapa:615
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/615/1/MPRA_paper_615.pdf
    File Function: original version
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Perron, Pierre & Vogelsang, Timothy J., "undated". "Level Shifts and Purchasing Power Parity," Instructional Stata datasets for econometrics levshift, Boston College Department of Economics.
    2. 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.
    3. 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.
    4. Christopher F. Baum, 2001. "Tests for stationarity of a time series," Stata Technical Bulletin, StataCorp LP, vol. 10(57).
    5. 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.
    6. 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.
    7. 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.
    8. 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.
    9. 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.
    10. 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.
    11. 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.
    12. Johansen, Soren, 1988. "Statistical analysis of cointegration vectors," Journal of Economic Dynamics and Control, Elsevier, vol. 12(2-3), pages 231-254.
    13. 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.
    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. 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.
    16. 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.
    17. 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.
    18. 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.
    19. 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.
    20. 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.
    21. 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.
    22. 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.
    23. Lester D. Taylor, 1975. "The Demand for Electricity: A Survey," Bell Journal of Economics, The RAND Corporation, vol. 6(1), pages 74-110, Spring.
    24. 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.
    25. 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.
    26. 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.
    27. 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.
    28. Breusch, T S, 1978. "Testing for Autocorrelation in Dynamic Linear Models," Australian Economic Papers, Wiley Blackwell, vol. 17(31), pages 334-355, December.
    29. 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.
    30. 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.
    31. 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.
    32. 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.
    33. 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.
    34. 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.
    35. 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.
    36. 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.
    37. 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.
    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. 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.
    42. 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.
    43. Beenstock, Michael & Goldin, Ephraim & Nabot, Dan, 1999. "The demand for electricity in Israel," Energy Economics, Elsevier, vol. 21(2), pages 168-183, April.
    44. 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.
    45. 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.
    46. 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.
    47. 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.
    48. 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.
    49. 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.
    50. 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.
    51. 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.
    52. 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.
    53. 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.
    54. 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.
    55. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Buck, Steven & Nemati, Mehdi & Sunding, David, 2016. "The Welfare Consequences of the 2015 California Drought Mandate: Evidence from New Results on Monthly Water Demand," 2016 Annual Meeting, July 31-August 2, Boston, Massachusetts 236049, Agricultural and Applied Economics Association.
    2. Younes Ben Zaied & Nidhaleddine Ben Cheikh & Pascal Nguyen, 2017. "Modeling nonlinear water demand : The case of Tunisia," Economics Bulletin, AccessEcon, vol. 37(2), pages 637-644.
    3. Marie-Estelle Binet & Younes Ben Zaïd, 2011. "A Seasonal Integration and Cointegration Analysis of Residential Water Demand in Tunisia," Economics Working Paper Archive (University of Rennes & University of Caen) 201122, Center for Research in Economics and Management (CREM), University of Rennes, University of Caen and CNRS.
    4. Ben Zaied Younes, 2013. "A long-run analysis of residential water consumption," Economics Bulletin, AccessEcon, vol. 33(1), pages 536-544.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Franses,Philip Hans & Dijk,Dick van & Opschoor,Anne, 2014. "Time Series Models for Business and Economic Forecasting," Cambridge Books, Cambridge University Press, number 9780521520911, September.
    2. John D. Levendis, 2018. "Time Series Econometrics," Springer Texts in Business and Economics, Springer, number 978-3-319-98282-3, June.
    3. Charles G. Renfro, 2009. "The Practice of Econometric Theory," Advanced Studies in Theoretical and Applied Econometrics, Springer, number 978-3-540-75571-5.
    4. Andrew C. Worthington & Mark Hoffman, 2008. "An Empirical Survey Of Residential Water Demand Modelling," Journal of Economic Surveys, Wiley Blackwell, vol. 22(5), pages 842-871, December.
    5. Dinusha Dharmaratna & Edwyna Harris, 2012. "Estimating Residential Water Demand Using the Stone-Geary Functional Form: The Case of Sri Lanka," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 26(8), pages 2283-2299, June.
    6. 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.
    7. Henrique Monteiro, 2010. "Residential Water Demand in Portugal: checking for efficiency-based justifications for increasing block tariffs," Working Papers Series 1 ercwp0110, ISCTE-IUL, Business Research Unit (BRU-IUL).
    8. Niels Haldrup & Robinson Kruse & Timo Teräsvirta & Rasmus T. Varneskov, 2013. "Unit roots, non-linearities and structural breaks," Chapters, in: Nigar Hashimzade & Michael A. Thornton (ed.), Handbook of Research Methods and Applications in Empirical Macroeconomics, chapter 4, pages 61-94, Edward Elgar Publishing.
    9. Worthington, Andrew C., 2010. "Commercial and Industrial Water Demand Estimation: Theoretical and Methodological Guidelines for Applied Economics Research/Estimación de la demanda de agua comercial e industrial: pautas teóricas y m," Estudios de Economia Aplicada, Estudios de Economia Aplicada, vol. 28, pages 237-258, Agosto.
    10. Méndez Parra, Maximiliano, 2015. "Futures prices, trade and domestic supply of agricultural commodities," Economics PhD Theses 0115, Department of Economics, University of Sussex Business School.
    11. Mónica Maldonado-Devis & Vicent Almenar-Llongo, 2021. "A Panel Data Estimation of Domestic Water Demand with IRT Tariff Structure: The Case of the City of Valencia (Spain)," Sustainability, MDPI, vol. 13(3), pages 1-26, January.
    12. Gerdesmeier, Dieter, 1996. "Die Rolle des Vermögens in der Geldnachfrage," Discussion Paper Series 1: Economic Studies 1996,05, Deutsche Bundesbank.
    13. Begona Eguía & Cruz Echevarría, "undated". "Existe alguna relación entre las tasas de desempleo y la estructura demográfica en España?," Studies on the Spanish Economy 11, FEDEA.
    14. Ankamah-Yeboah, Isaac, 2012. "Spatial Price Transmission in the Regional Maize Markets in Ghana," MPRA Paper 49720, University Library of Munich, Germany.
    15. Francisco de Castro & José M. González-Páramo & Pablo Hernández de Cos, 2001. "Evaluating the dynamics of fiscal policy in Spain: patterns of interdependence and consistency of public expenditure and revenues," Working Papers 0103, Banco de España.
    16. John Y. Campbell & Pierre Perron, 1991. "Pitfalls and Opportunities: What Macroeconomists Should Know about Unit Roots," NBER Chapters, in: NBER Macroeconomics Annual 1991, Volume 6, pages 141-220, National Bureau of Economic Research, Inc.
    17. N. Vijayamohanan Pillai, 2001. "Electricity demand analysis and forecasting: The tradition is questioned," Centre for Development Studies, Trivendrum Working Papers 312, Centre for Development Studies, Trivendrum, India.
    18. Brittle, Shane, 2009. "Ricardian Equivalence and the Efficacy of Fiscal Policy in Australia," Economics Working Papers wp09-10, School of Economics, University of Wollongong, NSW, Australia.
    19. R. Martinez-Espiñeira, 2002. "Residential Water Demand in the Northwest of Spain," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 21(2), pages 161-187, February.
    20. Dinusha Dharmaratna & Edwyna Harris, 2010. "Estimating Residential Water Demand using the Stone-Geary Functional Form: the Case of Sri Lanka," Monash Economics Working Papers 46-10, Monash University, Department of Economics.

    More about this item

    Keywords

    seasonal unit roots; residential water demand; price elasticity; time-series; co-integration; Error Correction Model;
    All these keywords.

    JEL classification:

    • Q25 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Renewable Resources and Conservation - - - Water
    • 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

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:pra:mprapa:615. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Joachim Winter (email available below). General contact details of provider: https://edirc.repec.org/data/vfmunde.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.