Efficiency assessment of Portuguese municipalities using a conditional nonparametric approach

Measuring local government efficiency is a complex task that has to take into account that they usually operate in a heterogeneous context. Therefore, the estimation of relative efficiency measures of their performance needs to account for the effect of contextual and exogenous variables. This should assure that the respective measures adequately reflect the portion of inefficiency that may be attributable to local authorities. In this paper, we apply time-dependent conditional frontier estimators to assess the performance of the 278 Portuguese mainland municipalities for the 2009–2014 period. By applying this nonparametric approach, we can avoid the strong assumptions on the specification of the estimated production function required by traditional two-stage methods. Furthermore, we examine the effect of contextual variables and time on the shape of the frontier and the distribution of inefficiencies. The results reveal that the local reforms do not seem to have achieved the pursued objective of improving the efficiency of local government performance. However, we can observe a small improvement in the last year of the period after the amalgamation of some civil parishes, thus it seems that this specific process might have had a certain impact in the short term. Moreover, we find that the economic and demographic indicators included as contextual variables in our model play an important role as influencing the production set, although those effects do not seem to vary much over time. This evidence is corroborated after conducting a second-stage nonparametric regression of the conditional efficiency measures over those variables.

[1]  Léopold Simar,et al.  Directional distances and their robust versions: Computational and testing issues , 2013, Eur. J. Oper. Res..

[2]  P. W. Wilson,et al.  Statistical Inference in Nonparametric Frontier Models: The State of the Art , 1999 .

[3]  K. Kerstens,et al.  Radial and nonradial measures of technical efficiency: An empirical illustration for Belgian local governments using an FDH reference technology , 1996 .

[4]  F. Teles Local government and the bailout: Reform singularities in Portugal , 2016 .

[5]  Michael Doumpos,et al.  Applying Data Envelopment Analysis on Accounting Data to Assess and Optimize the Efficiency of Greek Local Governments , 2013 .

[6]  A. Ullah,et al.  Nonparametric Econometrics , 1999 .

[7]  Jeffrey S. Racine,et al.  Consistent Significance Testing for Nonparametric Regression , 1997 .

[8]  Susana Jorge,et al.  Political-Ideological Circumstances and Local Authorities’ Debt: Evidence From Portuguese Municipalities , 2015 .

[9]  A. Worthington Cost Efficiency in Australian Local Government: A Comparative Analysis of Mathematical Programming anf Econometrical Approaches , 2000 .

[10]  H. Loikkanen,et al.  Cost efficiency of finnish municipalities in basic service provision 1994-2002 , 2005 .

[11]  D. Prior,et al.  Output complexity, environmental conditions, and the efficiency of municipalities , 2010 .

[12]  A. Ullah,et al.  Nonparametric Econometrics: Semiparametric and Nonparametric Estimation of Simultaneous Equation Models , 1999 .

[13]  António Afonso,et al.  Assessing and explaining the relative efficiency of local government , 2008 .

[14]  C. Thomas-Agnan,et al.  NONPARAMETRIC FRONTIER ESTIMATION: A CONDITIONAL QUANTILE-BASED APPROACH , 2005, Econometric Theory.

[15]  Nickolaos G. Tzeremes The effect of human capital on countries’ economic efficiency , 2014 .

[16]  Léopold Simar,et al.  Introducing Environmental Variables in Nonparametric Frontier Models: a Probabilistic Approach , 2005 .

[17]  Jeffrey S. Racine,et al.  Cross-Validation and the Estimation of Conditional Probability Densities , 2004 .

[18]  Brian Dollery,et al.  The relative economic efficiency of urban water utilities in regional New South Wales and Victoria , 2010 .

[19]  Borko Stosic,et al.  Technical Efficiency of the Brazilian Municipalities: Correcting Nonparametric Frontier Measurements for Outliers , 2005 .

[20]  John Ruggiero,et al.  A comparison of DEA and the stochastic frontier model using panel data , 2007, Int. Trans. Oper. Res..

[21]  B. Geys,et al.  Value for money? German local government efficiency in a comparative perspective , 2011 .

[22]  D. Prior,et al.  Decentralization and efficiency of local government , 2010 .

[23]  G. Stoker WAS LOCAL GOVERNANCE SUCH A GOOD IDEA? A GLOBAL COMPARATIVE PERSPECTIVE , 2011 .

[24]  S. Managi,et al.  Measuring the Effect of Economic Growth on Countries’ Environmental Efficiency: A Conditional Directional Distance Function Approach , 2017 .

[25]  P. W. Wilson,et al.  Two-stage DEA: caveat emptor , 2011 .

[26]  D. Prior,et al.  On the determinants of local government performance: A two-stage nonparametric approach , 2007 .

[27]  Nickolaos G. Tzeremes,et al.  Financial development and productive inefficiency: A robust conditional directional distance function approach , 2016 .

[28]  Brian Dollery,et al.  An empirical survey of frontier efficiency measurement techniques in local government , 2000 .

[29]  Léopold Simar,et al.  Nonparametric conditional efficiency measures: asymptotic properties , 2010, Ann. Oper. Res..

[30]  Martin Gregor,et al.  Public sector efficiency in transition and beyond: evidence from Czech local governments , 2015 .

[31]  I. Gijbels,et al.  Robustness and inference in nonparametric partial frontier modeling , 2011 .

[32]  Toshiyuki Sueyoshi,et al.  Cost-efficiency of Japanese local governments: effects of decentralization and regional integration , 2014 .

[33]  K. Kerstens,et al.  Cost efficiency of Belgian local governments: A comparative analysis of FDH, DEA, and econometric approaches , 1996 .

[34]  Corrado lo Storto Evaluating Technical Efficiency of Italian Major Municipalities: A Data Envelopment Analysis model☆ , 2013 .

[35]  Qi Li,et al.  Nonparametric Econometrics: Theory and Practice , 2006 .

[36]  António Afonso,et al.  Measuring local government spending efficiency: Evidence for the Lisbon region , 2006 .

[37]  Antreas D. Athanassopoulos,et al.  Assessing Aggregate Cost Efficiency And The Related Policy Implications For Greek Local Municipalities , 1998 .

[38]  Kristof De Witte,et al.  Local governments' efficiency: a systematic literature review - part I , 2018, Int. Trans. Oper. Res..

[39]  K. Hayes,et al.  Bureaucratic choice and nonoptimal provision of public goods: Theory and evidence , 1998 .

[40]  J. Vanneste,et al.  Explaining differences in productive efficiency: An application to Belgian municipalities , 1994 .

[41]  Francesco Vidoli,et al.  Estimating Technical Efficiency in the Italian Municipalities , 2014 .

[42]  Manuel Antonio,et al.  Overcoming Cost-Inefficiencies within Small Municipalities: Improve Financial Condition or Reduce the Quality of Public Services? , 2010 .

[43]  Kristof De Witte,et al.  Citizen coproduction and efficient public good provision: Theory and evidence from local public libraries , 2013, Eur. J. Oper. Res..

[44]  Henry Tulkens,et al.  Cost efficiency in Belgian municipalities , 1993 .

[45]  Semoon Chang,et al.  The Relative Efficiency of City Manager and Mayor-Council Forms of Government , 1990 .

[46]  Toni Mora,et al.  Citizen Control and the Efficiency of Local Public Services , 2012 .

[47]  Léopold Simar,et al.  Effect of FDI and Time on Catching Up: New Insights from a Conditional Nonparametric Frontier Analysis , 2015 .

[48]  Léopold Simar,et al.  Explaining inefficiency in nonparametric production models: the state of the art , 2014, Ann. Oper. Res..

[49]  Peter Nijkamp,et al.  A Generalized Goals-achievement Model in Data Envelopment Analysis: an Application to Efficiency Improvement in Local Government Finance in Japan , 2009 .

[50]  Valentin Zelenyuk,et al.  Generalized nonparametric smoothing with mixed discrete and continuous data , 2016, Comput. Stat. Data Anal..

[51]  Peter Haug,et al.  Municipality Size and Efficiency of Local Public Services: Does Size Matter? , 2011 .

[52]  M. Portela,et al.  Interactions in Local Governments' Spending Decisions: Evidence from Portugal , 2015 .

[53]  Kristof De Witte,et al.  Visible . A Service of zbw , 2014 .

[54]  Léopold Simar,et al.  How to measure the impact of environmental factors in a nonparametric production model , 2012, Eur. J. Oper. Res..

[55]  J. Costa,et al.  Is There Yardstick Competition among Portuguese Municipalities , 2011 .

[56]  Léopold Simar,et al.  Testing the "Separability" Condition in Two-Stage Nonparametric Models of Production , 2015 .

[57]  L. Simar,et al.  Nonparametric efficiency analysis: a multivariate conditional quantile approach , 2007 .

[58]  Cinzia Daraio,et al.  Explaining Efficiency in Nonparametric Frontier Models: Recent Developments in Statistical Inference , 2011 .

[59]  P. W. Wilson,et al.  Estimation and Inference in Nonparametric Frontier Models: Recent Developments and Perspectives , 2013 .

[60]  Isabel María García Sánchez,et al.  Efficiency evaluation in municipal services: an application to the street lighting service in Spain , 2007 .

[61]  L. Simar,et al.  Conditional nonparametric frontier models for convex and nonconvex technologies: a unifying approach , 2007 .

[62]  Aziz Kutlar,et al.  An analysis on the economic effectiveness of municipalities in Turkey , 2012 .

[63]  Léopold Simar,et al.  WHEN BIAS KILLS THE VARIANCE: CENTRAL LIMIT THEOREMS FOR DEA AND FDH EFFICIENCY SCORES , 2014, Econometric Theory.

[64]  Léopold Simar,et al.  Optimal bandwidth selection for conditional efficiency measures: A data-driven approach , 2010, Eur. J. Oper. Res..

[65]  Núria Bosch,et al.  Measuring the efficiency of Spanish municipal refuse collection services , 2000 .

[66]  Andrés J. Picazo-Tadeo,et al.  Accounting for operating environments in measuring water utilities’ managerial efficiency , 2009 .

[67]  B. Park,et al.  THE FDH ESTIMATOR FOR PRODUCTIVITY EFFICIENCY SCORES , 2000, Econometric Theory.

[68]  Bernardino Benito,et al.  Explaining efficiency in municipal services providers , 2014 .

[69]  Jeffrey S. Racine,et al.  Nonparametric estimation of regression functions with both categorical and continuous data , 2004 .

[70]  J. Florens,et al.  Nonparametric frontier estimation: a robust approach , 2002 .

[71]  Diego Prior,et al.  Rethinking New Public Management Delivery Forms and Efficiency: Long-Term Effects in Spanish Local Government , 2015 .

[72]  Léopold Simar,et al.  Advanced Robust and Nonparametric Methods in Efficiency Analysis: Methodology and Applications , 2007 .

[73]  Nakil Sung Information technology, efficiency and productivity: evidence from Korean local governments , 2007 .

[74]  P. Simões,et al.  On the economic performance of the waste sector. A literature review. , 2012, Journal of environmental management.

[75]  P. W. Wilson,et al.  Estimation and inference in two-stage, semi-parametric models of production processes , 2007 .

[76]  Rui Cunha Marques,et al.  Revisiting the determinants of local government performance , 2014 .

[77]  Benny Geys,et al.  Exploring sources of local government technical inefficiency: evidence from Flemish municipalities [Ursachenforschung zur technischen Ineffizienz kommunaler Verwaltungen: Evidenz von flämischen Gemeindeverwaltungen] , 2008 .

[78]  V. Giménez,et al.  Long- and Short-Term Cost Efficiency Frontier Evaluation: Evidence from Spanish Local Governments , 2007 .

[79]  B. Geys,et al.  Voter Involvement, Fiscal Autonomy and Public Sector Efficiency: Evidence from German Municipalities , 2010 .

[80]  J. M. D. Silva Local Governments in Portugal , 2008 .

[81]  Isabel-María García-Sánchez,et al.  Measuring the efficiency of local police force , 2009 .

[82]  Nickolaos G. Tzeremes,et al.  CEO compensation and bank efficiency: An application of conditional nonparametric frontiers , 2016, Eur. J. Oper. Res..

[83]  Diego Prior,et al.  Short- and long-term evaluation of efficiency and quality. An application to Spanish municipalities , 2009 .

[84]  Pedro Simões,et al.  Influence of regulation on the productivity of waste utilities. What can we learn with the Portuguese experience? , 2012, Waste management.