The determinants of the performance of water utilities are a topical issue worldwide. This paper analyzes the relationship between efficiency and corporate governance in Italian water utilities, measured through data envelopment analysis. Using an M-quantile regression model, efficiency estimations are ranked considering relevant governance (board size and composition; firm size) and strategy features (membership of a corporate group; provision of wholesale services) in order to provide decision-makers with indications regarding the best corporate governance and strategic choices to improve the efficiency. Results show that fully publicly owned firms reach lower levels of efficiency than their counterparts with an ownership structure that also includes private partners. Moreover, higher levels of efficiency are reached by utilities with more than six board members and by firms in which the presence of politically connected directors is substantial (more than two-thirds of board members being politically connected). The empirical results also show that the worst situation is where the entirety or the great majority of board members are not graduates or over a certain age and where the firm size is ‘median’. Finally, being part of a group and having the opportunity to provide wholesale services to other firms contribute to improving efficiency.

Over the last 25 years the governance of public services, and of water services in particular, has been a major challenge in many economies (Hall, 2001; Lobina & Hall, 2007; Araral, 2008; Bel & Warner, 2008; Marques, 2008; Miralles, 2008; Furlong & Bakker, 2010). Managers, institutions, and policy-makers worldwide are looking for the best ways to improve efficiency, environmental sustainability, financial viability, and affordability of water services. Many reforms have been proposed and realized to meet these goals, even if a great debate about if and how different regulatory models affect a firm's performance is still ongoing (Berg, 2016) and perverse effects have been highlighted if a new regulatory model is implemented in isolation from the analysis of its influence on a firm's policy and strategies (Simões & Marques, 2012).

The Italian water industry has undergone important reforms over the last two decades with various different aims (Danesi et al., 2007; Guerrini et al., 2011), one of these being to end the direct supply of water and wastewater services through public administrations, by outsourcing these services to independent, public, mixed ownership or privately owned firms (Carrozza, 2011; Massarutto & Ermano, 2013; Guerrini & Romano, 2014). However, the Italian water supply system still represents a very complex landscape, with 75% of water industry operators being municipalities or other public bodies (such as consortia of local governments or mountain communities) that provide one or more water services (collection, water treatment and purification, transportation, distribution of water for civil use, wastewater collection and treatment) directly (Romano & Guerrini, 2014). Moreover, public, mixed and privately owned utilities coexist, operating on different scales and with different strategic and organizational status. The close connection between Italian utilities and local government leads to a dominance of politically connected directors on the boards of Italian utilities (Menozzi et al., 2011), fueling continuous debate about which is the best ownership structure and the best size and composition of local utilities' boards to achieve satisfactory performance. Specific legal provisions regulate the size and composition of the boards of Italian utilities owned either totally or partly by public shareholders: fully publicly owned utilities can appoint no more than five board members, according to Law 78 of 2010 and more recently Decree 175 of 2016. For both fully publicly owned and mixed ownership utilities, Law 138 (2011) banned the appointment to boards of directors of any politicians who have acted in the previous three years as administrators of the municipalities owning the utility.

Despite the relevance of this issue, which is much debated among decision-makers, scholars, and citizens, the water industry literature to date has focused mainly on the ownership–performance linkage and only a few empirical studies have investigated the relationship between the efficiency of water utilities and board size and composition (Romano & Guerrini, 2014; Romano et al., 2015).

Evaluation of the operational performance of firms in comparison to their rivals is a topical issue worldwide. Building on the New Public Management approach (Hood, 1990, 1991; Ferlie et al., 1996) and on agency theory (Jensen & Meckling, 1976; Eisenhardt, 1989), our paper aims to improve the scientific literature on water utility management by investigating how the corporate governance of water utilities (i.e. their ownership, board size and board composition), through its influence on firms' decisions, ultimately impacts their efficiency. The present study uses a dataset composed of 255 observations regarding 85 Italian water utilities from 2010 to 2012 and over 1,100 board members; to the best of our knowledge, for the first time, it includes multi-year data and applies data envelopment analysis (DEA) with an input orientation to determine the relative efficiency of utilities, and then M-quantile regression to rank their efficiency estimation considering relevant corporate governance and strategy features (board size; political connection, age, graduation, and sex of board members; firm size; membership of a corporate group; and provision of wholesale water services).

This study applies a novel methodology, for the first time used to link efficiency and corporate governance and strategy features of firms. M-quantile regression has recently been used in the water industry literature by Romano et al. (2014) to investigate the factors affecting water utility companies' decision to implement public information campaigns aimed at promoting sustainable water use and reducing household water consumption.

Our results contributed to the debate on how to improve the corporate governance and organizational structure of water utilities, providing useful indications for decision-makers on the best corporate governance choices to improve the efficiency of water utilities.

This article is structured as follows. The next section offers a review of the literature on the links between corporate governance and the performance of water utilities. The third and fourth sections describe the process of data collection, the research method and the analysis conducted. The fifth section outlines the key findings of our empirical research, and the final one concludes the paper and discusses the main implications.

According to the OECD (2004), corporate governance is a key element in improving economic efficiency and growth, and in enhancing investor confidence. In recent years there has been growing interest in determining the effectiveness of corporate governance by means of different measures of firm performance (García-Sánchez, 2010), investigating both privately owned firms (e.g. Dulewicz & Herbert, 2004; Zelenyuk & Zheka, 2006; Rodríguez-Domínguez et al., 2012) and publicly owned ones (e.g. Bozec & Dia, 2007; Bachiller, 2009; Reddy et al., 2011). With reference to the water industry, some scholars have investigated the linkage between corporate governance and financial performance through the analysis of financial ratios and accounting performance (Shaoul, 1997; Guerrini et al., 2011; Romano et al., 2013). Menozzi et al. (2011) analyzed the effects of board composition on the performance of a sample of 114 Italian local public utilities dedicated to gas, electricity, and water production, distribution, and sale to the final customer. More recently, Romano & Guerrini (2014) investigated the linkage between the economic and financial performance (measured using accounting results) of Italian water mono-utilities and their corporate governance, using a dataset composed of 72 water utilities with data for the year 2011. Their preliminary findings show that private or mixed-ownership utilities achieve higher profitability than entirely publicly owned firms, even if the latter are less debt-dependent. Furthermore, they find that the boards of Italian water utilities are dominated by politically connected directors, who boost access to debt and thus negatively affect the firms' capital structures.

Alongside research focusing on the linkage between financial ratios and corporate governance, many studies have investigated the linkage between corporate governance and the efficiency of water utilities. Technical efficiency is considered extremely relevant, since operations, i.e. the process of transforming inputs into outputs, are the core of a business organization. Moreover, Hill & Snell (1989) argue that technical efficiency is considered a more accurate measure than financial ratios and Tobin's q, since the latter are extremely sensitive to differences in accounting methods or accounting profit manipulation (Barth et al., 2005).

As revealed by a review of the scientific literature (Berg & Marques, 2011), the problem of estimating the determinants of water utilities' performance trends has been investigated especially by authors adopting the performance evaluation model based on production frontiers, parametric or non-parametric. The most frequently used non-parametric method is DEA, which compares each producer with its related virtual ‘best’. As Cubbin & Tzanidakis (1998) point out, regression analysis and DEA are both useful tools for comparative efficiency analysis and authors who have applied both the DEA models and parametric frontiers (Bhattacharyya et al., 1995; Seroa da Motta & Moreira, 2006) have found that the results were very similar.

In the water industry, many studies using DEA methods have focused on the ownership of water utilities in attempts to identify the best ownership structure. Some authors report that the ownership structure does not influence efficiency (Byrnes et al., 1986; García-Sánchez, 2006; Kirkpatrick et al., 2006; Seroa da Motta & Moreira, 2006; Peda et al., 2013; Barbosa et al., 2016). Other studies highlight the relevance of ownership to efficiency, claiming that public ownership improves it (Lambert et al., 1993; Shih et al., 2006) or, on the contrary, that private utilities outperform public companies in the management of specific production factors, mainly labor (Picazo-Tadeo et al., 2009a, 2009b). Therefore, no clear picture has emerged and this result has further been confirmed by recent analyses of the entire literature related to the water industry (Renzetti & Dupont, 2003; Abbott & Cohen, 2009; Pérard, 2009; Walter et al., 2009; Berg & Marques, 2011; Guerrini et al., 2011). With reference to Italy, Cruz et al. (2012) show that, in both Italy and Portugal, water utilities with public ownership are more efficient than mixed and private ones, demonstrating that the reforms favoring private sector participation in both countries were not necessarily successful. In contrast with previous findings, Guerrini & Romano (2014), using a wider dataset for the Italian water industry, show that the presence of a private shareholder improves the global efficiency of water utility firms. Since environmental variables have a relevant impact on the water sector, using the order-m method that allows the inclusion of environmental variables in efficiency estimation, Pinto et al. (2016) found a positive influence of private sector participation on the Portuguese water sector.

Studies investigating the linkage between board size and composition and the efficiency of firms are very few (see Table 1). With the exception of Gallego-Álvarez et al. (2010), the empirical studies have always used DEA and have mainly investigated listed firms (Lin et al., 2009; Gallego-Álvarez et al., 2010; García-Sánchez, 2010; Nanka-Bruce, 2011) and state-owned enterprises (SOE) (Bozec & Dia, 2007; Bachiller, 2009). The results are limited and quite conflicting, highlighting the need for further investigation of these issues. With reference to the water industry, Romano et al. (2015) recently analyzed the linkage between the board size and board composition of Italian water utilities and their efficiency, using DEA and a panel data regression model, finding that a certain board size can negatively affect the efficiency of water utilities; moreover, the presence of directors with political affiliations, or who are/were members of the local or national government, negatively affects efficiency, and the presence of directors with a university degree on the board has a slight negative effect on productivity. This two-stage approach is not without criticism (Simar & Wilson, 2004, 2007). DEA scores are expected to be correlated with each other (multicollinearity problem), as the calculation of efficiency of one firm incorporates observation of all other firms.

Table 1.

Literature review of studies investigating the linkage between firms' efficiency and their corporate governance (with the exception of ownership).

Variables studied
AuthorsYearCountryDataset usedYears analyzedMethodBoard sizeBoard independencePublic (civil) servant/Political connectionBoard dualityGraduate board membersBoard reputationBoard diversityAverage board member ageBoard activityCorporate governance compliance
Romano et al2015 Italy 85 water firms 2010–2012 DEA −  −  −    
Tariq & Abbas 2013 Pakistan 119 firms 2003–2010 DEA          
Nanka-Bruce 2011 15 Western European countries (namely, Austria, Belgium, Denmark, Finland, France, Germany, Greece, Ireland, Italy, The Netherlands, Norway, Spain, Sweden, Switzerland, UK) and the USA Listed firms 2003–2005 DEA −        
García-Sánchez 2010 Spain 92 non-financial firms listed on the Spanish continuous market 2004–2006 DEA    −   
Gallego-Álvarez et al2010 Spain 117 listed firms from different activity sectors 2004–2006 Stochastic frontier analysis       
Bachiller 2009 Spain 5 SOE 1984–2005 DEA          
Lin et al2009 China 461 publicly listed manufacturing firms 1999–2002 DEA        
Bozec & Dia 2007 Canada 14 SOE 1976–2001 DEA −       
Variables studied
AuthorsYearCountryDataset usedYears analyzedMethodBoard sizeBoard independencePublic (civil) servant/Political connectionBoard dualityGraduate board membersBoard reputationBoard diversityAverage board member ageBoard activityCorporate governance compliance
Romano et al2015 Italy 85 water firms 2010–2012 DEA −  −  −    
Tariq & Abbas 2013 Pakistan 119 firms 2003–2010 DEA          
Nanka-Bruce 2011 15 Western European countries (namely, Austria, Belgium, Denmark, Finland, France, Germany, Greece, Ireland, Italy, The Netherlands, Norway, Spain, Sweden, Switzerland, UK) and the USA Listed firms 2003–2005 DEA −        
García-Sánchez 2010 Spain 92 non-financial firms listed on the Spanish continuous market 2004–2006 DEA    −   
Gallego-Álvarez et al2010 Spain 117 listed firms from different activity sectors 2004–2006 Stochastic frontier analysis       
Bachiller 2009 Spain 5 SOE 1984–2005 DEA          
Lin et al2009 China 461 publicly listed manufacturing firms 1999–2002 DEA        
Bozec & Dia 2007 Canada 14 SOE 1976–2001 DEA −       

+, , and = indicate a positive, negative, and null effect of the variable studied on efficiency, respectively.

The process of data collection started from the database published by the Italian Regulatory Authority for Electricity, Gas and Water Services (AEEGSI), i.e. the Italian national water authority. This database, available on the authority's website, includes information about all the 1,235 independent firms and public bodies involved in the provision of Italy's water services at the end of the year 2013. Of these 1,235 operators, 75% (N. 931) are municipalities or other public bodies (such as consortia of local governments or mountain communities) that provide one or more water services directly ‘in house’. Thus, only 304 of the 1,235 operators at the end of 2013 are independent firms (water utilities).

Analyzing the financial statements and websites of these 304 Italian water utilities during the period January–March 2014, we find that 202 of them provide only water services (mono-utilities) and are not involved in other industries such as electricity, gas, or municipal waste management. Moreover, according to the AEEGSI database, only 100 firms are mono-utilities that provide all the various water services at the same time (collection, water treatment and purification, transportation, distribution of water for civil use, wastewater collection and treatment).

For the purpose of our study, we focused only on these 100 utilities, thus excluding companies that provide only some services and those that are multi-sector utilities (e.g. providing gas, waste management, and energy). This makes it possible to eliminate from the statistical analysis the effect of differentiated operations and strategies, which could severely affect firms' performance (Guerrini et al., 2013).

The AEEGSI database also provides us with information about the firms belonging to a group and whether or not they also provide a wholesale service. Both of these two facts are relevant, since economic and efficiency results could be affected by these strategic and organizational choices, along with the features of corporate governance.

The list was cross-checked against the Analisi Informatizzata delle Aziende Italiane (AIDA) database of Bureau Van Dyck. Following Romano & Guerrini (2014), the AIDA database was used to collect data on governance items: size of the board of directors (board size), percentage of women on the board (women), age of directors (age), and the distinction between ‘fully publicly owned’ firm and ‘not fully publicly owned’ firm. Moreover, the percentage of directors with university degrees (degree) and of politically connected directors (politics) were identified, examining whether or not each director on the board had a degree and held or had held political assignments, candidacies in national and local elections, and/or membership of a political party.

According to Menozzi et al. (2011) and Romano & Guerrini (2014), directors were considered ‘politically connected’ when they currently held a seat in parliament or in the municipal, provincial, or regional government, or had held one in the past, and, more generally, were affiliated to a political party or had a well-known relationship with a political party. The firms' websites, local newspaper websites, and the main web search engines were used to identify the political connections of all the directors.

Moreover, the AIDA database was used to collect economic and financial items referring to the three-year period analyzed (2010–2012): total revenues, value of production (prod. value, i.e. a relevant variable obtained from the firms' annual report that summarizes total revenues and stock variation), depreciation, amortization and interest paid, staff costs, and other operative costs (e.g. services, maintenance, materials) and number of employees (staff).

We obtained all the required information for 85 water utilities that operate only in the water and wastewater industry, providing all the water services, for which we collected information about their 1,118 board members. The final panel obtained includes 255 observations about these 85 firms. It is relevant to say that these water utilities, located in many different Italian regions, served around 30 million Italian citizens (Table 2) with around 300,000 km of mains.

Table 2.

Location and population served by the water utilities included in the dataset.

RegionPopulation served%
Abruzzo 546,016 1.8% 
Basilicata 591,338 2.0% 
Calabria 112,683 0.4% 
Campania 2,119,225 7.1% 
Emilia Romagna 296,723 1.0% 
Friuli Venezia Giulia 570,636 1.9% 
Lazio 5,088,674 17.0% 
Liguria 331,247 1.1% 
Lombardia 4,493,251 15.0% 
Marche 120,000 0.4% 
Piemonte 2,218,516 7.4% 
Puglia 4,000,000 13.4% 
Sardegna 1,757,000 5.9% 
Sicilia 965,000 3.2% 
Toscana 3,363,174 11.2% 
Umbria 500,000 1.7% 
Veneto 2,863,517 9.6% 
 29,937,000  
RegionPopulation served%
Abruzzo 546,016 1.8% 
Basilicata 591,338 2.0% 
Calabria 112,683 0.4% 
Campania 2,119,225 7.1% 
Emilia Romagna 296,723 1.0% 
Friuli Venezia Giulia 570,636 1.9% 
Lazio 5,088,674 17.0% 
Liguria 331,247 1.1% 
Lombardia 4,493,251 15.0% 
Marche 120,000 0.4% 
Piemonte 2,218,516 7.4% 
Puglia 4,000,000 13.4% 
Sardegna 1,757,000 5.9% 
Sicilia 965,000 3.2% 
Toscana 3,363,174 11.2% 
Umbria 500,000 1.7% 
Veneto 2,863,517 9.6% 
 29,937,000  

In line with the literature (Guerrini & Romano, 2014) and the data available, for efficiency estimation we consider three inputs (the sum of amortization, depreciation, and interest paid; staff costs; other operating costs) and two outputs (population served, i.e. the number of inhabitants of the municipalities served by each firm and value of production, a variable obtained from the firms' annual reports that summarize total revenues and stock variation).

Tables 3 and 4 summarize some descriptive statistics regarding the governance, strategic, and economic variables used.

Table 3.

Descriptive statistics.

Fully publicly owned firm N. (%)Utility is part of a group N. (%)Utility also provides a wholesale service N. (%)
Yes 174 (68.2) 66 (25.9) 135 (52.9) 
No 81 (31.8) 189 (74.1) 120 (47.1) 
Total 255 (100.0) 255 (100.0) 255 (100.0) 
Fully publicly owned firm N. (%)Utility is part of a group N. (%)Utility also provides a wholesale service N. (%)
Yes 174 (68.2) 66 (25.9) 135 (52.9) 
No 81 (31.8) 189 (74.1) 120 (47.1) 
Total 255 (100.0) 255 (100.0) 255 (100.0) 
Table 4.

Descriptive statistics.

Board size (N.)Politics (%)Degree (%)Women (%)Age (N.)Prod. Value (€)Staff (N.)
Mean 4.36 56 55 52.69 41,158,737.32 174.58 
Median 60 60 53 18,853,392 83 
Standard deviation 1.92 36 31 17 5.57 77,551,177.68 300.45 
Minimum 39 638,013 
Maximum 100 100 100 68 552,306,126 2,000 
Board size (N.)Politics (%)Degree (%)Women (%)Age (N.)Prod. Value (€)Staff (N.)
Mean 4.36 56 55 52.69 41,158,737.32 174.58 
Median 60 60 53 18,853,392 83 
Standard deviation 1.92 36 31 17 5.57 77,551,177.68 300.45 
Minimum 39 638,013 
Maximum 100 100 100 68 552,306,126 2,000 

The majority of the dataset is composed of fully publicly owned firms, whose shareholders are municipalities or other public bodies (68%) that are not part of a broader group (74%). Around half of the dataset comprises utilities that also provide a wholesale service, by selling potable water or treating wastewater, to other firms that are the concessionaire of water services in one or more municipalities (Table 3).

The boards are composed of an average of four members, with a minimum of a sole director and a maximum of nine members. On average, the boards are made up of 56% politically connected directors (only 18% are non-political) and of 55% graduate members. Women count, on average, for 9% of board members, with around 70% of boards having no women at all and only one firm having 100% female presence (a sole female director). The average age of the board members is around 53 years (calculated as the mean of the average age of the members of each board), with a minimum of 39 and a maximum of 68 years (Table 4).

Determining the efficiency of water utilities: DEA

In order to estimate the level of efficiency of water utilities, we applied a non-parametric frontier model known as DEA (Charnes et al., 1978), which is an alternative to financial ratios and parametric frontier models (Guerrini et al., 2011). Financial ratios make it possible to conduct benchmarking among many operating units, focusing on their financial results. However, their main weakness in measuring performance, such as operating profit to collection revenues, is the lack of technical indicators capable of estimating the effectiveness of customer service and plants, and the quality of the water. The parametric frontier method is based on a multivariate regression analysis of a specific dataset, formed of production inputs and outputs (e.g. cost of labor, cost of capital, and water delivered). Efficiency is measured by the distance between the data observed and maximum production, represented by the frontier. Compared to traditional ratio analysis (Beaver, 1968; Davis & Peles, 1993), the advantages of frontier models are their high reliability, being based on a mathematical approach, and their ability to measure efficiency considering many inputs and outputs. Their main limitation is the need to choose a cost function (for example, Cobb–Douglas, Translog), which cannot perfectly fit with the research dataset.

A non-parametric analysis such as DEA overcomes the limitations of financial ratios and parametric analysis, since it does not require the specification of any particular functional form to describe the efficient frontier, and it permits the combination of multiple inputs and outputs. DEA compares each decision-making unit (DMU) with its related virtual ‘best’ producer. Every virtual producer is identified through a linear programming approach, which enquires whether it is possible for a real operative unit to obtain more output with the same input, or to obtain the same output with less input (Farrell, 1957). DEA is based on an optimization algorithm that assigns a score (between 0 and 1) to each DMU, given the inputs consumed and the outputs produced, hence providing a ranking of firms based on their efficiency. The difference between 1 and the score assigned to a single DMU shows the amount of input that could be saved (input-oriented optimization problem) or the increase of output that could be obtained given a certain input (output-oriented optimization problem). Therefore, hypothesizing the adoption of DEA with an input orientation, a score of 0.77 assigned to a DMU shows a 23% margin for input saving.

The linear programming problem can be defined by choosing between two alternatives: constant return to scale (CRS) or variable return to scale (VRS) (Charnes et al., 1978; Banker et al., 1984). The use of both DEA models enables the establishment of three indexes: CRSTE (constant return to scale technical efficiency), VRSTE (variable return to scale technical efficiency), and SCALE (scale efficiency). The first represents the global efficiency of a DMU, given by pure efficiency and scale; the second measures the real capability of a company to purchase, mix, and consume inputs; while the third indicates the correctness of the choice to operate with a certain production scale.

Thanassoulis (2000) claims that firms can be evaluated for their global efficiency regardless of the true nature of the return to scale in the water industry, and adopts a CRS model in his study despite counter-arguments such as the influence of non-controllable contextual variables on SCALE. Garcia-Valiñas & Muñiz (2007) use a similar approach. Although we use both CRS and VRS and thus calculate the three indexes (CRSTE, VRSTE, and SCALE), for the aim of the present study we focused only on global efficiency (CRSTE).

As highlighted by Berg (2010) and De Witte & Marques (2012), there are also disadvantages of applying DEA, such as that results are sensitive to the selection of inputs and outputs and to measurement error; moreover, the number of efficient firms tends to increase with the number of inputs and outputs included in the efficiency estimation. In the present paper, unlike previous studies that evaluate efficiency in a panel dataset by the use of a Malmquist index (De Witte & Marques, 2012), we do not measure the change in efficiency over time. Building on Lin et al. (2009), García-Sánchez (2010), and Tariq & Abbas (2013), we investigate whether and to what extent corporate governance practices affect efficiency.

We consider three inputs (the sum of amortization, depreciation, and interest paid; staff costs; other operating costs) and two outputs (population served and value of production). Data were obtained from annual reports (through the AIDA database), so they could have the traditional limitations of accounting data: accounting estimates, subsidization, accountancy rules, etc. For the DEA analysis to be meaningful, a general rule of thumb is applied: the number of DMUs analyzed should be greater than three times the number of inputs and outputs (Bozec & Dia, 2007).

Ranking water utilities' efficiency: the M-quantile approach

We applied the M-quantile regression to the scores obtained by DEA (y variable) in order to study the distribution of y given the auxiliary variables: size of the board of directors, percentage of women on the board, age of directors, ownership structure, the distinction between ‘fully publicly owned’ and ‘not fully publicly owned’ firms, the number of directors with university degrees, and of politically connected directors, firms belonging to a group or not, and whether they also provide a wholesale service, value of production, and staff costs. For each qualitative variable we have used a dummy variable that takes the value 0 or 1 to indicate the absence or presence of some categorical effect that may be expected to shift the outcome.

We evaluated the performance of each company by identifying a unique quantile, , for every one (see Kokic et al., 1997). These coefficients were then averaged from observations based on the group (three years observed), in order to define a group-level M-quantile coefficient.

Regression analysis is a standard tool for modeling the relationship between a response variable y and some covariates x. It summarizes the average behavior of y given x, and has been one of the most important statistical methods in applied research for many decades. However, in some circumstances, the mean does not give a complete picture of a distribution. It does not consider, for example, the extreme behavior of y conditional on x. Quantile regression summarizes the behavior of different parts (e.g. quantiles) of the conditional distribution of y at each point in the set of the x values. In the linear case, quantile regression leads to a family of hyper-planes indexed by a real number . Given a set of covariates, x, and a response variable, y, for each value of q, the corresponding model shows how the q-th quantile of the conditional distribution of y given x varies with x. The set of quantile regression parameter estimates satisfies the criterion of the minimum sum of asymmetrically weighted absolute residuals, and estimates of are obtained using linear programming methods.

M-quantile regression further extends this idea by providing a ‘quantile-like’ generalization of regression based on influence functions. The relationship between sample M-quantiles and standard M-estimates of a regression function is shown by sample quantiles and the sample median. In fact, the M-quantile regression line of order q is defined as the solution
formula
(1)
where F denotes the distribution of y given x underlying the data, and denotes the influence function associated with the q-th M-quantile (see, for details, Breckling & Chambers (1988)). Being a robust regression model, it can be fitted using an iteratively reweighted least squares algorithm, which guarantees the convergence to a unique solution. M-quantiles are somehow less intuitively interpretable than quantiles. However, M-quantile regression also shares other advantages of robust regression related to the great flexibility in modeling that derives from using different influence functions, such as those of Huber or Hampel (Huber, 1981).

The M-quantile regression can be used to construct a performance measure of the Italian water utility companies following the proposal by Kokic et al. (1997). A key concept in the application of M-quantile methods to data is the identification of a unique ‘M-quantile coefficient’ associated with each datum observed. For most values in the x range, the fitted M-quantile surface will increase monotonically with q, starting below all the y-data values when q = 0 and finishing above all y-data values when q = 1. If the q-th M-quantile surface passes through , then we set the performance measure for the j-th company to . In the continuous y case the M-quantile coefficient for observation j is simply defined as the unique solution to the equation . Thus, the performance of each company is defined by , which solves the previous equation.

Table 5 presents the descriptive statistics of the DEA scores. In comparison to previous studies applying DEA to Italian water utilities (Romano & Guerrini, 2011; Guerrini et al., 2013), the current scores are higher. The reason for this difference may be due to many factors: first of all, the different choice of the input/output set; moreover, it may depend on the fact that Guerrini et al. (2013) analyzed both mono- and multi-utilities, and the data in the previous papers were older, being based on 2007 and 2008 figures.

Table 5.

Descriptive statistics of DEA scores (255 observations).

CRSTEVRSTESCALE
Mean 0.871 0.899 0.968 
Maximum 
Minimum 0.306 0.364 0.755 
Standard deviation 0.086 0.079 0.041 
CRSTEVRSTESCALE
Mean 0.871 0.899 0.968 
Maximum 
Minimum 0.306 0.364 0.755 
Standard deviation 0.086 0.079 0.041 

Then, we applied the M-quantile regression to the scores obtained by DEA (CRSTE – y variable) in order to study the distribution of y given the auxiliary variables: size of the board of directors, percentage of women on the board, age of directors, ownership structure, the distinction between ‘fully publicly owned’ and ‘not fully publicly owned’ firms, the number of directors with university degrees, and of politically connected directors, firms belonging to a group or not, and whether they also provide a wholesale service, value of production, and staff costs. We evaluated the performance of each company by identifying a unique quantile, , for every one (mean q individual); these coefficients were then averaged from observations based on the group (three years observed), in order to define a group-level M-quantile coefficient (mean q group).

We have fitted the M-quantile regression model at different quantiles from 0.006 to 0.996 for identifying a unique ‘M-quantile coefficient’ associated with each datum observed with the aim to construct a performance measure of the Italian water utility companies following the proposal by Kokic et al. (1997). For reporting all the results, we need a table for each quantile, because there are covariates that are significant at low quantiles, but which are not significant at high quantiles, and vice versa. For this reason, we have decided to retain all the covariates in the model because our target is the identification of unique ‘M-quantile coefficient’ associated with each datum observed. We can report, as an example shown in the Appendix (available with the online version of this paper), the results for the median regression (q = 0.5).

Table 6 reports the empirical findings considering the global efficiency. The scores are obtained as average of the M-quantiles coefficient and the estimate of their variability is a topic under research. We cannot use a traditional variance of the mean to measure the variability, but an iterative method (like bootstrap or jackknife method), the development of which is not the aim of this study.

Table 6.

Empirical results.

N.%Mean q individualMean q group
Ownership     
not fully publicly owned firm 81 32% 0.523 0.523 
Fully publicly owned firm 174 68% 0.506 0.506 
Board size 
 1,2,3 members 118 46% 0.499 0.498 
 4,5,6 members 101 40% 0.51 0.514 
 7,8,9 members 36 14% 0.556 0.548 
Politics 
 0–33% 81 32% 0.486 0.488 
 34–66% 94 37% 0.511 0.505 
 67–100% 80 31% 0.537 0.542 
Degree 
 0–33% 76 30% 0.446 0.445 
 34–66% 104 41% 0.577 0.578 
 67–100% 75 29% 0.488 0.486 
Women 
 0–33% 233 91% 0.519 0.518 
 34–66% 19 7% 0.395 0.407 
 67–100% 1% 0.661 0.661 
Average age 
 39–48 58 23% 0.452 0.461 
 49–58 160 63% 0.558 0.554 
 59–68 37 15% 0.402 0.407 
Prod. value 
 I tertile 85 33% 0.567 0.575 
 II tertile 85 33% 0.437 0.436 
 III tertile 85 33% 0.53 0.524 
Staff 
 I tertile 85 33% 0.59 0.595 
 II tertile 85 33% 0.455 0.443 
 III tertile 85 33% 0.489 0.497 
Group 
 Yes 66 26% 0.522 0.522 
 No 189 74% 0.508 0.508 
Gross sale 
 Yes 135 53% 0.532 0.532 
 No 120 47% 0.488 0.488 
N.%Mean q individualMean q group
Ownership     
not fully publicly owned firm 81 32% 0.523 0.523 
Fully publicly owned firm 174 68% 0.506 0.506 
Board size 
 1,2,3 members 118 46% 0.499 0.498 
 4,5,6 members 101 40% 0.51 0.514 
 7,8,9 members 36 14% 0.556 0.548 
Politics 
 0–33% 81 32% 0.486 0.488 
 34–66% 94 37% 0.511 0.505 
 67–100% 80 31% 0.537 0.542 
Degree 
 0–33% 76 30% 0.446 0.445 
 34–66% 104 41% 0.577 0.578 
 67–100% 75 29% 0.488 0.486 
Women 
 0–33% 233 91% 0.519 0.518 
 34–66% 19 7% 0.395 0.407 
 67–100% 1% 0.661 0.661 
Average age 
 39–48 58 23% 0.452 0.461 
 49–58 160 63% 0.558 0.554 
 59–68 37 15% 0.402 0.407 
Prod. value 
 I tertile 85 33% 0.567 0.575 
 II tertile 85 33% 0.437 0.436 
 III tertile 85 33% 0.53 0.524 
Staff 
 I tertile 85 33% 0.59 0.595 
 II tertile 85 33% 0.455 0.443 
 III tertile 85 33% 0.489 0.497 
Group 
 Yes 66 26% 0.522 0.522 
 No 189 74% 0.508 0.508 
Gross sale 
 Yes 135 53% 0.532 0.532 
 No 120 47% 0.488 0.488 

Confirming the results of many scholars (see, for references, Abbott & Cohen (2009) and Berg & Marques (2011); for Italy, see Guerrini & Romano (2014)), the present study shows that not fully publicly owned firms are more efficient than fully publicly owned firms. This result supports the consideration that the political dimension of public enterprises cannot be ignored (Florio & Fecher, 2011). Hence, publicly owned firms are thought to prefer social and political objectives over profit and efficiency maximization (Romano et al., 2017).

Moreover, board size seems to be relevant in influencing the utilities' efficiency: the greatest efficiency is obtained by firms with a ‘bigger’ board size (more than six members), followed by firms with four to six members; firms with boards composed of only a few members (one, two, or three) have the lowest efficiency. These results therefore confirm the findings of researchers who argue that larger boards are positively associated with better corporate performance (Pearce & Zahra, 1992) and are more effective in monitoring, as the directors appointed might be able to draw on a broader range of knowledge and experience (Van den Berghe & Levrau, 2004), even though the composition of such boards partially conflicts with the current regulation of Italian water utilities, which requires fully publicly owned utilities to appoint no more than five board members (Law 175/2016).

The results concerning the presence of politics highlight that the efficiency of water utilities is greater when the presence of politically connected directors is substantial (more than two-thirds of board members being politically connected). The worst scenario occurs when few politics are involved in the board (i.e. maximum one-third of board members being politically connected), probably due to the greater difficulties in communicating, discussing, and defining clear strategies. Thus, a higher presence of politicians (principally in fully publicly owned firms) could play a significant role in utility management, also by helping the firm gain access to financial capital from banks (Khwaja & Mian, 2005; Claessens et al., 2008; Romano & Guerrini, 2014).

With reference to the percentage of graduate directors on the board, the empirical results show that, as expected, the worst scenario arises when the entirety or the great majority of board members are not university graduates. According to the literature (Forbes & Milliken, 1999), boards, as strategic-issue-processing groups, must have members who possess knowledge and skills that cover business, accounting, finance, marketing, and law. Board members must also have firm-specific knowledge and skills that allow an intimate understanding of their firm's operations and internal management issues. However, efficiency is highest in firms whose boards have more than one-third but less than two-thirds of graduate directors. This result could be explained by the idea that having a degree is relevant but not, in itself, sufficient to make a significant contribution to a firm's decision-making and thus performance (Romano & Guerrini, 2014). As a matter of fact, in our dataset some graduate board members (around 3.5% of the dataset) have degrees that do not provide them with knowledge and skills in economics or law, nor in engineering or geology (e.g. they have degrees in veterinary science, medicine, teaching, etc.); lastly, we were not able to identify the degree subject area for 7% of the graduate directors.

Considering the female presence on boards, our empirical findings (excluding the only case of a sole female director) show that efficiency is higher if the female presence is higher than two-thirds of board members or lower than one-third. In our dataset, there are never more than two females on a single board: therefore, as in Romano & Guerrini (2014), this result could be explained by the fact that the female board members in our dataset do not reach the critical mass of three or more women per board (Erkut et al., 2008). Consequently, as a ‘token presence’ (Kanter, 1977), these women may not feel comfortable on homogeneously male-dominated boards, and their contributions may not be as exploited as they could be, given broader representation.

With reference to the average age of directors on the board, a proxy for business experience (Anderson et al., 2004), the empirical results confirm that demographic variables, such as the age of board members, can help explain the values and cognitive bases that ultimately affect a firm's performance (Hambrick & Mason, 1984; Erhardt et al., 2003). As a matter of fact, the data show that the worst situation for efficiency is the one in which board members are more than 59 years of age (i.e. they are in the oldest tertile). In contrast, the highest efficiency is found in firms whose boards are, on average, over 49 but below 58 years of age. Hence, it seems that the directors' business experience, seen in the average age of all board members, contributes to improving efficiency. However, when a certain threshold is reached, a higher average age (over 58) becomes a limitation, and the positive effect of experience is cancelled out by the negative effect of being older, such as resistance to new ideas and more passivity in controlling management decision-making (Zajac & Westphal, 1996).

Considering strategic and organizational choices, the empirical results show that efficiency is higher in smaller water utilities (in terms of both value of production and staff numbers). Moreover, the data show that the worst size is that of the ‘median tertile’, thus confirming the findings of a previous study on Italy (Guerrini & Romano, 2014): water utilities are better able to achieve efficiency if they remain small local firms or if they become big players. This result confirms that in the water industry ‘one size does not fit all’ (Berg & Marques, 2011) and that economies of scale could be mediated by other positive effects of the smaller size, such as higher labor efficiency, higher commitment with investments' realization, and better control of expenses.

Finally, the other two strategic and organizational choices observed (being part of a broader corporate group and providing a wholesale service) seem to have a positive impact on efficiency, since the water utilities with these characteristics achieve, on average, higher efficiency than the others. In this regard, the presence of economies of scope in the water industry is confirmed (Berg & Marques, 2011; Guerrini et al., 2013), thus highlighting the need to further improve the provision simultaneously of ‘wholesale’ and ‘retail’ services. Moreover, the creation of broader groups also improves efficiency, thanks to economies of scope and synergies that could be exploited from the joint provision of drinking water supply with other activities such as piped gas, electricity, or urban waste (Carvalho & Marques, 2014). The impact of group membership on efficiency has been investigated by Destefanis & Sena (2007) and Keramidou et al. (2011), who also found a positive impact on technical efficiency of firms belonging to a group.

This paper investigates the corporate governance and efficiency of Italian water utilities and analyzes how the former affects firms' decisions and ultimately impacts the level of efficiency reached. The empirical study uses a dataset comprising 255 observations regarding 85 Italian water utilities and over 1,100 board members from 2010 to 2012. The novel method applied is composed of DEA to determine the relative efficiency of utilities, and M-quantile regression to rank the efficiency estimation considering relevant corporate governance and strategy features (board size; political connection, age, graduation, and sex of board members; firm size; membership of a corporate group and provision of wholesale water services).

In terms of policy implications, the obtained results could provide useful recommendations for the water utilities, water regulators, and policy-makers. As a matter of fact, the results provide a picture of the best practices that the above-mentioned decision-makers could consider when defining the corporate governance of water utilities and their organizational and strategic choices and when legal and regulatory obligations are issued. In particular, they confirm that fully publicly owned firms reach lower levels of efficiency than their counterparts with an ownership structure that also includes private partners. Moreover, higher levels of efficiency are reached by utilities with more than six board members, while lower levels are reached by those with very few board members (one to three). This result contrasts with the legal provisions in Italy, which set a threshold for the number of board members in fully publicly owned utilities (no more than five), which are still the majority of the Italian water industry. Similarly, the empirical results show that higher levels of efficiency are reached by firms in which the presence of politically connected directors is substantial (more than two-thirds of board members being politically connected). Again, these results partially conflict with the legal provisions in force, since Italian law currently bans the appointment to boards of directors of any politicians who have operated in the previous years as administrators of a local authority that owns the utility (fully public or mixed ownership).

The empirical results also show that the worst situation is where the entirety or the great majority of board members are not graduates or are over a certain age (59 years, on average). These results, along with the previous ones, suggest that corporate governance could affect in a relevant way the efficiency of water utilities; thus, the results might suggest best practices for the choice of the directors of water utilities board for water regulators and policy-makers.

Moreover, decision-makers could obtain from this study useful suggestions about the water industry structure in terms of number of operators: the worst situation is found where the firm size, measured by value of production and staff numbers, is ‘median’. This latter aspect confirms that in the water industry, although there exist the economies of scale, ‘one size does not fit all’ (Berg & Marques, 2011). Finally, as expected and according to the existing literature, being part of a group and having the opportunity to sell water wholesale or provide wastewater services to other firms impact efficiency and contribute to improving efficiency. These findings might induce regulators and policy-makers, along with water utilities' shareholders and managers, to pursue strategies that encompass the creation of groups and diversification policies.

The authors would like to thank the anonymous referees for their valuable comments and suggestions on an earlier version of the manuscript and Alice Delli for her contribution to the process of data collection. This research was partially supported by the University of Pisa (PRA 2016 Project) and European Commission Erasmus + Programme – Jean Monnet Action Project number 553224-EPP-1-2014-1-IT-EPPJMO-MODULE).

Abbott
,
M.
&
Cohen
,
B.
, (
2009
).
Productivity and efficiency in the water industry
.
Utilities Policy
17
,
233
244
.
Anderson
,
R. C.
,
Mansi
,
S. A.
&
Reeb
,
D. M.
, (
2004
).
Board characteristics, accounting report integrity, and the cost of debt
.
Journal of Accounting and Economics
37
,
315
342
.
Bachiller
,
P.
, (
2009
).
Effect of ownership on efficiency in Spanish companies
.
Management Decision
47
,
289
307
.
Banker
,
R. D.
,
Charnes
,
A.
&
Cooper
,
W. W.
, (
1984
).
Some models for estimating technical and scale inefficiencies and data envelopment analysis
.
Management Science
32
,
30
44
.
Barbosa
,
A.
,
Cesàrio de Lima
,
S.
&
Brusca
,
I.
, (
2016
).
Governance and efficiency in the Brazilian water utilities: a dynamic analysis in the process of universal access
.
Utilities Policy
43
,
82
96
.
Available at: http://dx.doi.org/10.1016/j.jup.2016.06.013 (accessed 13 December 2017)
.
Barth
,
E.
,
Gulbrandsen
,
T.
&
Schøne
,
P.
, (
2005
).
Family ownership and productivity: the role of owner-management
.
Journal of Corporate Finance
11
,
107
127
.
Beaver
,
W. H.
, (
1968
).
The information content of annual earnings announcements
.
Journal of Accounting Research
6
,
67
92
.
Bel
,
G.
&
Warner
,
M. E.
, (
2008
).
Challenging issues in local privatization
.
Environment and Planning C: Government and Policy
26
,
104
109
.
Berg
,
S. V.
, (
2010
).
Water Utility Benchmarking: Measurement, Methodology, and Performance Incentives
.
International Water Association
,
London
,
UK
.
Bhattacharyya
,
A.
,
Harris
,
T. R.
,
Narayanan
,
R.
&
Raffiee
,
K.
, (
1995
).
Specification and estimation of the effect of ownership on the economic efficiency of the water utilities
.
Regional Science and Urban Economics
25
,
759
784
.
Bozec
,
R.
&
Dia
,
M.
, (
2007
).
Board structure and firm technical efficiency: evidence from Canadian state-owned enterprises
.
European Journal of Operational Research
177
,
1734
1750
.
Breckling
,
J.
&
Chambers
,
R.
, (
1988
).
M-quantiles
.
Biometrika
73
,
597
604
.
Byrnes
,
P.
,
Grosskopf
,
S.
&
Hayes
,
K.
, (
1986
).
Efficiency and ownership: further evidence
.
Review of Economics and Statistics
668
,
337
341
.
Charnes
,
A.
,
Cooper
,
W. W.
&
Rhodes
,
E. L.
, (
1978
).
Measuring the efficiency of decision making units
.
European Journal of Operations Research
2
,
429
444
.
Claessens
,
S.
,
Feijen
,
E.
&
Laeven
,
L.
, (
2008
).
Political connections and preferential access to finance: the role of campaign contributions
.
Journal of Financial Economics
88
,
554
580
.
Cruz
,
N.
,
Marques
,
R. C.
,
Romano
,
G.
&
Guerrini
,
A.
, (
2012
).
Measuring the efficiency of water utilities: a cross-national comparison between Portugal and Italy
.
Water Policy
14
,
841
853
.
Davis
,
H. Z.
&
Peles
,
Y. C.
, (
1993
).
Measuring equilibrating forces of financial ratios
.
Accounting Review
68
,
725
747
.
Destefanis
,
S.
&
Sena
,
V.
, (
2007
).
Patterns of corporate governance and technical efficiency in Italian manufacturing
.
Managerial and Decision Economics
28
,
27
40
.
Eisenhardt
,
K. M.
, (
1989
).
Agency theory: an assessment and review
.
Academy of Management Review
14
,
57
74
.
Erhardt
,
N. L.
,
Werbel
,
J. D.
&
Shrader
,
C. B.
, (
2003
).
Board of director diversity and firm financial performance
.
Corporate Governance: An International Review
11
,
102
111
.
Erkut
,
S.
,
Kramer
,
V. W.
,
Konrad
,
A. M.
, (
2008
).
Critical mass: does the number of women on a corporate board make a difference?
In:
Women on Corporate Boards of Directors: International Research and Practice
.
Vinnicombe
,
S.
,
Singh
,
V.
,
Burke
,
R. J.
,
Bilimoria
,
D.
&
Huse
,
M.
(eds).
Edward Elgar
,
Cheltenham
,
UK
, pp.
350
366
.
Farrell
,
M. J.
, (
1957
).
The measurement of productive efficiency
.
Journal of the Royal Statistical Society Series A (General)
20
,
253
290
.
Ferlie
,
E.
,
Ashburner
,
L.
,
Fitzgerald
,
L.
&
Pettigrew
,
A.
, (
1996
).
New Public Management in Action
.
Oxford University Press
,
Oxford
,
UK
.
Florio
,
M.
&
Fecher
,
F.
, (
2011
).
The future of public enterprises: contributions to a new discourse
.
Annals of Public and Cooperative Economics
82
,
361
373
.
Forbes
,
D. P.
&
Milliken
,
F. J.
, (
1999
).
Cognition and corporate governance: understanding boards of directors as strategic decision-making groups
.
Academy of Management Review
24
,
489
505
.
Gallego-Álvarez
,
I.
,
García-Sánchez
,
I. M.
&
Rodríguez-Dominguez
,
L.
, (
2010
).
The influence of gender diversity on corporate performance
.
Revista de Contabilidad
13
,
53
88
.
García-Sánchez
,
I.
, (
2010
).
The effectiveness of corporate governance: board structure and business technical efficiency in Spain
.
Central European Journal of Operations Research
18
,
311
339
.
Guerrini
,
A.
&
Romano
,
G.
, (
2014
).
Water Management in Italy: Governance, Performance and Sustainability
.
Springer
,
Berlin
,
Germany
.
Guerrini
,
A.
,
Romano
,
G.
&
Campedelli
,
B.
, (
2011
).
Factors affecting the performance of water utility companies
.
The International Journal of Public Sector Management
24
,
543
566
.
Guerrini
,
A.
,
Romano
,
G.
&
Campedelli
,
B.
, (
2013
).
Economies of scale, scope, and density in the Italian water sector: a two-stage data envelopment analysis approach
.
Water Resources Management
27
,
4559
4578
.
Hall
,
D.
, (
2001
).
Water Privatisation and Quality of Service, Public Services International Research Unit
.
University of Greenwich
,
London
,
UK
.
Available at: http:/www.psiru.org (accessed 31 July 2012)
.
Hambrick
,
D. C.
&
Mason
,
P. A.
, (
1984
).
Upper echelons: the organization as a reflection of its top managers
.
Academy of Management Review
9
,
193
206
.
Hill
,
C.
&
Snell
,
S. A.
, (
1989
).
Effects of ownership structure and control on corporate productivity
.
Academy of Management Journal
32
,
25
46
.
Hood
,
C. C.
, (
1991
).
A public management for all seasons?
Public Administration
69
,
3
19
.
Huber
,
P. J.
, (
1981
).
Robust Statistics
.
Wiley
,
London
,
UK
.
Jensen
,
M. C.
&
Meckling
,
W. H.
, (
1976
).
Theory of the firm: managerial behavior, agency costs, and ownership structure
.
Journal of Financial Economics
3
,
305
360
.
Kanter
,
R. M.
, (
1977
).
Men and Women of the Corporation
.
Basic Books
,
New York
,
USA
.
Keramidou
,
I.
,
Mimis
,
A.
&
Pappa
,
E.
, (
2011
).
Identifying efficiency drivers in the Greek sausage industry: a double bootstrap DEA approach
.
Economics Bullettin
31
,
1
10
.
Khwaja
,
A. I.
&
Mian
,
A.
, (
2005
).
Do lenders favor politically connected firms?
The Quarterly Journal of Economics
120
,
1371
1411
.
Kirkpatrick
,
C.
,
Parker
,
D.
&
Zhang
,
Y.
, (
2006
).
An empirical analysis of state and private sector provision of water services in Africa
.
The World Bank Economic Review
20
,
143
163
.
Kokic
,
P.
,
Chambers
,
R.
,
Breckling
,
J.
&
Beare
,
S.
, (
1997
).
A measure of production performance
.
Journal of Business & Economic Statistics
15
,
445
451
.
Lambert
,
D. K.
,
Dichev
,
D.
&
Raffiee
,
K.
, (
1993
).
Ownership and sources of inefficiency in the provision of water services
.
Water Resources Research
29
,
1573
1578
.
Lin
,
C.
,
Ma
,
Y.
&
Su
,
D.
, (
2009
).
Corporate governance and firm efficiency: evidence from China's publicly listed firms
.
Managerial and Decision Economics
30
,
193
209
.
Menozzi
,
A.
,
Gutierrez Urtiaga
,
M.
&
Vannoni
,
D.
, (
2011
).
Board composition, political connections, and performance in state-owned enterprises
.
Industrial and Corporate Change
21
,
671
698
.
Nanka-Bruce
,
D.
, (
2011
).
Corporate governance mechanisms and firm efficiency
.
International Journal of Business and Management
6
,
28
40
.
OECD
(
2004
).
Principles of Corporate Governance
.
OECD
,
Paris
,
France
.
Pearce
,
J. A. I. I.
&
Zahra
,
S. A.
, (
1992
).
Board composition from a strategic contingency perspective
.
Journal of Management Studies
29
,
411
438
.
Peda
,
P.
,
Grossi
,
G.
&
Liik
,
M.
, (
2013
).
Do ownership and size affect the performance of water utilities? Evidence from Estonian municipalities
.
Journal of Management and Governance
17
,
237
259
.
Picazo-Tadeo
,
A. J.
,
Sáez-Fernández
,
F. J.
&
González-Gómez
,
F.
, (
2009a
).
The role of environmental factors in water utilities technical efficiency. Empirical evidence from Spanish companies
.
Applied Economics
41
,
615
628
.
Picazo-Tadeo
,
A. J.
,
González-Gómez
,
F.
&
Sáez-Fernández
,
F. J.
, (
2009b
).
Accounting for operating environments in measuring water utilities managerial efficiency
.
The Service Industries Journal
29
,
761
773
.
Pinto
,
F. S.
,
Simões
,
P.
&
Marques
,
R. C.
, (
2016
).
Water services performance: do operational environment and quality factors count?
Urban Water Journal
14
.
doi: 10.1080/1573062X.2016.1254254
.
Renzetti
,
S.
&
Dupont
,
D.
, (
2003
).
Ownership and performance of water utilities
.
Greener Management International
42
,
9
19
.
Rodríguez-Domínguez
,
L.
,
García-Sánchez
,
I. M.
&
Gallego-Álvarez
,
I.
, (
2012
).
Explanatory factors of the relationship between gender diversity and corporate performance
.
European Journal of Law and Economics
33
,
603
620
.
Romano
,
G.
,
Guerrini
,
A.
&
Vernizzi
,
S.
, (
2013
).
Ownership, investment policies and funding choices of Italian water utilities: an empirical analysis
.
Water Resources Management
27
,
3409
3419
.
Romano
,
G.
,
Salvati
,
N.
&
Guerrini
,
A.
, (
2014
).
Factors affecting water utility companies’ decision to promote the reduction of household water consumption
.
Water Resources Management
28
,
5491
5505
.
Romano
,
G.
,
Guerrini
,
A.
&
Leardini
,
C.
, (
2015
).
Exploring the link between the corporate governance and efficiency of Italian water utilities
.
Water and Landscape
6
,
123
132
.
Romano
,
G.
,
Molinos Senante
,
M.
&
Guerrini
,
A.
, (
2017
).
Water utility efficiency assessment in Italy by accounting for service quality: An empirical investigation
.
Utilities Policy
45
,
97
108
.
Seroa da Motta
,
R.
&
Moreira
,
A.
, (
2006
).
Efficiency and regulation in the sanitation sector in Brazil
.
Utilities Policy
14
,
185
195
.
Shih
,
J.
,
Harrington
,
W.
,
Pizer
,
W.
&
Gillingham
,
K. J.
, (
2006
).
Economies of scale in community water systems
.
Journal of American Water Works Association
98
,
100
108
.
Simar
,
L.
,
Wilson
,
P. W.
, (
2004
).
Performance of the bootstrap for DEA estimators and iterating the principle
. In:
Handbook on Data Envelopment Analysis
.
Cooper
,
W. W.
,
Seiford
,
L. M.
&
Zhu
,
J.
(eds).
Kluwer Academic Publishers
,
Boston, MA
,
USA
, pp.
265
298
.
Thanassoulis
,
E.
, (
2000
).
DEA and its use in the regulation of water companies
.
European Journal of Operational Research
127
,
1
13
.
Van den Berghe
,
L.
&
Levrau
,
A.
, (
2004
).
Evaluating boards of directors: what constitutes a good corporate board?
Corporate Governance
12
,
461
478
.
Walter
,
M.
,
Cullmann
,
A.
,
von Hirschhausen
,
C.
,
Wand
,
R.
&
Zschille
,
M.
, (
2009
).
Quo vadis efficiency analysis of water distribution? A comparative literature review
.
Utilities Policy
17
,
225
232
.
Zajac
,
E. J.
&
Westphal
,
J. D.
, (
1996
).
Director reputation, CEO-board power, and the dynamics of board interlocks
.
Administrative Science Quarterly
41
,
507
529
.
Zelenyuk
,
V.
&
Zheka
,
V.
, (
2006
).
Corporate governance and firms efficiency: the case of a transitional country, Ukraine
.
Journal of Productivity Analysis
25
,
143
157
.

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