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Nonparametric measures of returns to scale: an application to German water supply

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  • Michael Zschille
Abstract
The evaluation of market structures and the quantification of returns to scale in network industries usually are of high interest for researchers and policy makers. Regarding the debate on optimal market structures in German potable water supply, we use a cross-sectional sample of 364 German water utilities observed in 2006 to derive a nonparametric measure of scale elasticity for the water industry. The data sample is validated by applying a super-efficiency approach and a statistical testing procedure for outlier detection. Besides using a standard data envelopment analysis approach, a conditional efficiency approach is applied to account for the water utilities’ operating environments. The results indicate non-decreasing returns to scale for the majority of water utilities and constant or non-increasing returns for larger utilities. Optimal firm size is found to be generally larger than the current sample median firm size. Efficiency improvements could be realized by increases in firm sizes and through a consolidation of the industry. Copyright Springer-Verlag Berlin Heidelberg 2014

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  • Michael Zschille, 2014. "Nonparametric measures of returns to scale: an application to German water supply," Empirical Economics, Springer, vol. 47(3), pages 1029-1053, November.
  • Handle: RePEc:spr:empeco:v:47:y:2014:i:3:p:1029-1053
    DOI: 10.1007/s00181-013-0775-5
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    as
    1. Tupper, Henrique Cesar & Resende, Marcelo, 2004. "Efficiency and regulatory issues in the Brazilian water and sewage sector: an empirical study," Utilities Policy, Elsevier, vol. 12(1), pages 29-40, March.
    2. Mehdi Farsi & Aurelio Fetz & Massimo Filippini, 2008. "Economies of Scale and Scope in Multi-Utilities," The Energy Journal, International Association for Energy Economics, vol. 0(Number 4), pages 123-144.
    3. Kerstens, Kristiaan & Vanden Eeckaut, Philippe, 1999. "Estimating returns to scale using non-parametric deterministic technologies: A new method based on goodness-of-fit," European Journal of Operational Research, Elsevier, vol. 113(1), pages 206-214, February.
    4. Léopold Simar & Paul Wilson, 2000. "Statistical Inference in Nonparametric Frontier Models: The State of the Art," Journal of Productivity Analysis, Springer, vol. 13(1), pages 49-78, January.
    5. Banker, Rajiv D. & Thrall, R. M., 1992. "Estimation of returns to scale using data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 62(1), pages 74-84, October.
    6. Banker, Rajiv D. & Chang, Hsihui, 2006. "The super-efficiency procedure for outlier identification, not for ranking efficient units," European Journal of Operational Research, Elsevier, vol. 175(2), pages 1311-1320, December.
    7. Piacenza, Massimiliano & Vannoni, Davide, 2004. "Choosing among alternative cost function specifications: an application to Italian multi-utilities," Economics Letters, Elsevier, vol. 82(3), pages 415-422, March.
    8. repec:bla:scandj:v:87:y:1985:i:4:p:594-604 is not listed on IDEAS
    9. Kristof Witte & Rui Marques, 2011. "Big and beautiful? On non-parametrically measuring scale economies in non-convex technologies," Journal of Productivity Analysis, Springer, vol. 35(3), pages 213-226, June.
    10. Pastor, Jesus T. & Ruiz, Jose L. & Sirvent, Inmaculada, 1999. "A statistical test for detecting influential observations in DEA," European Journal of Operational Research, Elsevier, vol. 115(3), pages 542-554, June.
    11. Forsund, Finn R & Hjalmarsson, Lennart, 1979. "Generalised Farrell Measures of Efficiency: An Application to Milk Processing in Swedish Dairy Plants," Economic Journal, Royal Economic Society, vol. 89(354), pages 294-315, June.
    12. Bottasso, Anna & Conti, Maurizio, 2009. "Scale economies, technology and technical change in the water industry: Evidence from the English water only sector," Regional Science and Urban Economics, Elsevier, vol. 39(2), pages 138-147, March.
    13. Massimo Filippini & Nevenka Hrovatin & Jelena Zorić, 2008. "Cost efficiency of Slovenian water distribution utilities: an application of stochastic frontier methods," Journal of Productivity Analysis, Springer, vol. 29(2), pages 169-182, April.
    14. repec:bla:scandj:v:85:y:1983:i:2:p:181-90 is not listed on IDEAS
    15. Michael Zschille & Matthias Walter, 2012. "The performance of German water utilities: a (semi)-parametric analysis," Applied Economics, Taylor & Francis Journals, vol. 44(29), pages 3749-3764, October.
    16. K De Witte & E Dijkgraaf, 2010. "Mean and bold? On separating merger economies from structural efficiency gains in the drinking water sector," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 61(2), pages 222-234, February.
    17. Subal Kumbhakar & Efthymios Tsionas, 2008. "Scale and efficiency measurement using a semiparametric stochastic frontier model: evidence from the U.S. commercial banks," Empirical Economics, Springer, vol. 34(3), pages 585-602, June.
    18. Astrid Cullmann, 2012. "Benchmarking and firm heterogeneity: a latent class analysis for German electricity distribution companies," Empirical Economics, Springer, vol. 42(1), pages 147-169, February.
    19. Saal David S. & Arocena Pablo & Maziotis Alexandros & Triebs Thomas, 2013. "Scale and Scope Economies and the Efficient Vertical and Horizontal Configuration of the Water Industry: A Survey of the Literature," Review of Network Economics, De Gruyter, vol. 12(1), pages 93-129, March.
    20. Rita Martins & Fernando Coelho & Adelino Fortunato, 2012. "Water losses and hydrographical regions influence on the cost structure of the Portuguese water industry," Journal of Productivity Analysis, Springer, vol. 38(1), pages 81-94, August.
    21. Badin, Luiza & Daraio, Cinzia & Simar, Léopold, 2010. "Optimal bandwidth selection for conditional efficiency measures: A data-driven approach," European Journal of Operational Research, Elsevier, vol. 201(2), pages 633-640, March.
    22. Cinzia Daraio & Léopold Simar, 2005. "Introducing Environmental Variables in Nonparametric Frontier Models: a Probabilistic Approach," Journal of Productivity Analysis, Springer, vol. 24(1), pages 93-121, September.
    23. V E Krivonozhko & O B Utkin & A V Volodin & I A Sablin & M Patrin, 2004. "Constructions of economic functions and calculations of marginal rates in DEA using parametric optimization methods," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 55(10), pages 1049-1058, October.
    24. Antonioli, B. & Filippini, M., 2001. "The use of a variable cost function in the regulation of the Italian water industry," Utilities Policy, Elsevier, vol. 10(3-4), pages 181-187.
    25. Racine, Jeff, 1997. "Consistent Significance Testing for Nonparametric Regression," Journal of Business & Economic Statistics, American Statistical Association, vol. 15(3), pages 369-378, July.
    26. Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680.
    27. Rita Martins & Adelino Fortunato & Fernando Coelho, 2006. "Cost Structure of the Portuguese Water Industry: a Cubic Cost Function Application," GEMF Working Papers 2006-09, GEMF, Faculty of Economics, University of Coimbra.
    28. Uwe Jensen, 2000. "Is it efficient to analyse efficiency rankings?," Empirical Economics, Springer, vol. 25(2), pages 189-208.
    29. Banker, Rajiv D., 1984. "Estimating most productive scale size using data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 17(1), pages 35-44, July.
    30. R. D. Banker & A. Charnes & W. W. Cooper, 1984. "Some Models for Estimating Technical and Scale Inefficiencies in Data Envelopment Analysis," Management Science, INFORMS, vol. 30(9), pages 1078-1092, September.
    31. Cinzia Daraio & Léopold Simar, 2007. "Conditional nonparametric frontier models for convex and nonconvex technologies: a unifying approach," Journal of Productivity Analysis, Springer, vol. 28(1), pages 13-32, October.
    32. Andres Picazo-Tadeo & Francisco Saez-Fernandez & Francisco Gonzalez-Gomez, 2009. "The role of environmental factors in water utilities' technical efficiency. Empirical evidence from Spanish companies," Applied Economics, Taylor & Francis Journals, vol. 41(5), pages 615-628.
    33. Christian von Hirschhausen & Astrid Cullmann & Matthias Walter & Michael Zschille, 2009. "Fallende Preise in der Wasserwirtschaft: Hessen auf dem Vormarsch," DIW Wochenbericht, DIW Berlin, German Institute for Economic Research, vol. 76(10), pages 150-155.
    34. David Saal & David Parker & Tom Weyman-Jones, 2007. "Determining the contribution of technical change, efficiency change and scale change to productivity growth in the privatized English and Welsh water and sewerage industry: 1985–2000," Journal of Productivity Analysis, Springer, vol. 28(1), pages 127-139, October.
    35. Thanassoulis, Emmanuel, 2000. "The use of data envelopment analysis in the regulation of UK water utilities: Water distribution," European Journal of Operational Research, Elsevier, vol. 126(2), pages 436-453, October.
    36. Marques, Rui Cunha & De Witte, Kristof, 2011. "Is big better? On scale and scope economies in the Portuguese water sector," Economic Modelling, Elsevier, vol. 28(3), pages 1009-1016, May.
    37. De Witte, Kristof & Mika, Kortelainen, 2009. "Blaming the exogenous environment? Conditional efficiency estimation with continuous and discrete exogenous variables," MPRA Paper 14034, University Library of Munich, Germany.
    38. John K. Ashton, 2003. "Capital Utilisation and Scale in the English and Welsh Water Industry," The Service Industries Journal, Taylor & Francis Journals, vol. 23(5), pages 137-149, November.
    39. F R Førsund & L Hjalmarsson, 2004. "Calculating scale elasticity in DEA models," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 55(10), pages 1023-1038, October.
    40. Abbott, Malcolm & Cohen, Bruce, 2009. "Productivity and efficiency in the water industry," Utilities Policy, Elsevier, vol. 17(3-4), pages 233-244, September.
    41. Serge Garcia & Alban Thomas, 2001. "The Structure of Municipal Water Supply Costs: Application to a Panel of French Local Communities," Journal of Productivity Analysis, Springer, vol. 16(1), pages 5-29, July.
    42. Hanoch, Giora, 1970. "Homotheticity in joint production," Journal of Economic Theory, Elsevier, vol. 2(4), pages 423-426, December.
    43. Paola Fabbri & Giovanni Fraquelli, 2000. "Costs and Structure of Technology in the Italian Water Industry," Empirica, Springer;Austrian Institute for Economic Research;Austrian Economic Association, vol. 27(1), pages 65-82, March.
    44. Zschille, Michael, 2012. "Consolidating the Water Industry: An Analysis of the Potential Gains from Horizontal Integration in a Conditional Efficiency Fr," CEPR Discussion Papers 8737, C.E.P.R. Discussion Papers.
    45. Walter, Matthias & Cullmann, Astrid & von Hirschhausen, Christian & Wand, Robert & Zschille, Michael, 2009. "Quo vadis efficiency analysis of water distribution? A comparative literature review," Utilities Policy, Elsevier, vol. 17(3-4), pages 225-232, September.
    46. Hayfield, Tristen & Racine, Jeffrey S., 2008. "Nonparametric Econometrics: The np Package," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 27(i05).
    47. Finn Førsund & Lennart Hjalmarsson & Vladimir Krivonozhko & Oleg Utkin, 2007. "Calculation of scale elasticities in DEA models: direct and indirect approaches," Journal of Productivity Analysis, Springer, vol. 28(1), pages 45-56, October.
    48. Tim Coelli & Denis Lawrence (ed.), 2006. "Performance Measurement and Regulation of Network Utilities," Books, Edward Elgar Publishing, number 3801.
    49. Cazals, Catherine & Florens, Jean-Pierre & Simar, Leopold, 2002. "Nonparametric frontier estimation: a robust approach," Journal of Econometrics, Elsevier, vol. 106(1), pages 1-25, January.
    50. Michael Zschille, 2012. "Consolidating the Water Industry: An Analysis of the Potential Gains from Horizontal Integration in a Conditional Efficiency Framework," Discussion Papers of DIW Berlin 1187, DIW Berlin, German Institute for Economic Research.
    51. Simar, Leopold & Wilson, Paul W., 2007. "Estimation and inference in two-stage, semi-parametric models of production processes," Journal of Econometrics, Elsevier, vol. 136(1), pages 31-64, January.
    52. Peter Bogetoft & Lars Otto, 2011. "Benchmarking with DEA, SFA, and R," International Series in Operations Research and Management Science, Springer, number 978-1-4419-7961-2, April.
    53. Erbetta, Fabrizio & Rappuoli, Luca, 2008. "Optimal scale in the Italian gas distribution industry using data envelopment analysis," Omega, Elsevier, vol. 36(2), pages 325-336, April.
    54. John C. Panzar & Robert D. Willig, 1977. "Economies of Scale in Multi-Output Production," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 91(3), pages 481-493.
    55. David S Saal & David Parker, 2000. "The impact of privatization and regulation on the water and sewerage industry in England and Wales: a translog cost function model," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 21(6), pages 253-268.
    56. John Ashton, 2000. "Cost efficiency in the UK water and sewerage industry," Applied Economics Letters, Taylor & Francis Journals, vol. 7(7), pages 455-458.
    57. Giovanni Fraquelli & Massimiliano Piacenza & Davide Vannoni, 2004. "Scope and scale economies in multi-utilities: evidence from gas, water and electricity combinations," Applied Economics, Taylor & Francis Journals, vol. 36(18), pages 2045-2057.
    58. Podinovski, Victor V. & Førsund, Finn R. & Krivonozhko, Vladimir E., 2009. "A simple derivation of scale elasticity in data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 197(1), pages 149-153, August.
    59. Johannes Sauer, 2006. "Economic Theory and Econometric Practice: Parametric Efficiency Analysis," Empirical Economics, Springer, vol. 31(4), pages 1061-1087, November.
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    More about this item

    Keywords

    Water supply; Data envelopment analysis; Scale elasticity; Returns to scale; Conditional efficiency; Nonparametric estimation; C14; L22; L95; Q25;
    All these keywords.

    JEL classification:

    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • L22 - Industrial Organization - - Firm Objectives, Organization, and Behavior - - - Firm Organization and Market Structure
    • L95 - Industrial Organization - - Industry Studies: Transportation and Utilities - - - Gas Utilities; Pipelines; Water Utilities
    • Q25 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Renewable Resources and Conservation - - - Water

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