Measuring environmental efficiency of industry: a case study of thermal power generation in India

Technical and environmental efficiency of some coal-fired thermal power plants in India is estimated using a methodology that accounts for firm’s efforts to increase the production of good output and reduce pollution with the given resources and technology. The methodology used is directional output distance function. Estimates of firm-specific shadow prices of pollutants (bad outputs), and elasticity of substitution between good and bad outputs are also obtained. The technical and environmental inefficiency of a representative firm is estimated as 0.06 implying that the thermal power generating industry in Andhra Pradesh state of India could increase production of electricity by 6/ while decreasing generation of pollution by 6%. This result shows that there are incentives or win–win opportunities for the firms to voluntarily comply with the environmental regulation. It is found that there is a significant variation in marginal cost of pollution abatement or shadow prices of bad outputs across the firms and an increasing marginal cost of pollution abatement with respect to pollution reduction by the firms. This result calls for the use of economic instruments like pollution taxes instead of command and control regulation used currently in India to reduce air pollution.

Capturing the least costly way of reducing pollution: A shadow price approach

The production analysis literature is increasingly concerned with estimating marginal abatement costs. Yet, most studies do not emphasize the ways in which pollutants may be reduced and their costs, which makes them unable to identify the least costly compliance strategy. This paper utilizes the materials balance principle to relate pollution to the employment of material inputs. A production model which allows input and output substitution, downscaling of operations, pollution control, and emission permits purchases as compliance strategies is proposed, and the implications of joint and non-joint pollution controls for the trade-off between pollutants and desirable outputs are considered. Marginal abatement costs, reflecting the least costly way of compliance, are derived by exploiting the duality between the directional distance function and the profit function.     

Government Interventions, Market Imperfections, and Technical Inefficiency in a Mixed Economy: A Case Study of Indian Agriculture

This paper uses an output-maximizing framework in the presence of expenditure constraint to measure output loss and input misallocation resulting from market distortions and technical inefficiency. A generalized indirect production function accommodating allocative distortions and technical inefficiency is used. Allocative distortions are captured in terms of effective (shadow) prices in which distortion parameters are both farm- and input-specific. The stochastic frontier approach is used to model technical inefficiency. Using farm-level data on 105 jute growers from West Bengal, India, we find that average output losses due to allocative distortions and technical inefficiency are 6.3% and 14%, respectively.     

Economic inefficiency in a revenue setting: the Norwegian whitefish fishery

The main focus in the inefficiency literature is on suboptimal input use and how this causes increased costs, due to technical and allocative inefficiency. Production or cost functions are then typically used to describe the underlying technology of the firm. The possible revenue loss, due to lower than maximum production levels and suboptimal output mix, has received substantially less attention. By using a revenue function to measure inefficiency, the focus, model and estimation technique presented in this article differ from those of previous studies. A shadow revenue model is used to decompose revenue inefficiency into its technical and allocative components, in which the allocative inefficiency is due to a suboptimal output mix. The approach is illustrated using panel data of Norwegian whitefish trawlers. The results reveal large inefficiencies, with respect to output levels as well as output mix, indicating that this can be an important part of the picture when investigating economic inefficiency. To identify the determinants of revenue inefficiency, we conduct a second-step regression, in which technical and allocative inefficiency is regressed upon a set of explanatory variables. The inefficiencies are partly explained by the management system and fleet structure.     

Shadow prices of environmental outputs and production efficiency of household-level paper recycling units in Vietnam

The production efficiency and shadow prices of three environmental outputs (BOD, COD, and SS) of 63 household-level paper-recycling units, from a recycling craft village in Vietnam, are assessed A two-stage procedure, linear programming and stochastic estimation, is used to estimate output distance function. Social capital as a production factor and environmental outputs are included in the output distance function. Results indicate that production efficiencies could potentially be improved by 28%. There is a substantial variation in the shadow prices of environmental outputs among the production units of different types of paper products. Furthermore, the average shadow prices of the three environmental outputs are all positive. This indicates a potential for improving environmental quality though introducing pollution-prevention methods to paper-recycling production processes in Vietnam (e.g., recirculation of wastewater), and suggests that it may be inappropriate to restrict the shadow prices of environmental outputs to be non-positive for the analysis of some production processes.     

Adjusting the measurement of US manufacturing productivity for air pollution emissions control

We estimate a distance function and derive producer shadow prices for SO₂ and PM-10 emissions. The shadow prices are used to adjust a traditional measure of total factor productivity growth in order to account for the reallocation of inputs from production of the marketed output to pollution abatement activities. Adjusted total factor productivity growth rates are calculated for the two-digit SIC manufacturing industries in the United States for 1970–1996. The results indicate that including the “output” of pollution abatement activities has a measurable effect on the productivity of many industries in the manufacturing sector.     

Time substitution for environmental performance: The case of Swedish manufacturing

We extend recent advances in time substitution modeling to a directional distance function framework, in order to examine the environmental performance of firms in Sweden’s pulp and paper industry for the years 2002–2008. Our data allow us to estimate the optimal reallocation of environmental investments, expenditures and energy use to simultaneously maximize production output and minimize emissions in the years immediately before and after the implementation of the European Union Emissions Trading Scheme. We find some evidence of overall productivity decline when considering both emissions and output objectives, due primarily to technological decline, and that cumulative dynamic inefficiency outweighs static inefficiency. A comparison of optimal investment with observed investment indicates that firms could have improved their performance by reallocating environmental investments to early periods and production-oriented investment to later periods.     

Comparing French and US hospital technologies: a directional input distance function approach

French and US hospital technologies are compared using directional input distance functions. The aggregation properties of the directional distance function allow comparison of hospital industry-level performance as well as standard firm-level performance with regard to productive efficiency. In addition, the underlying constituents of efficiency?–?in the short run, congestion and technical inefficiency, and in the long run, scale inefficiency?–?are analysed by decomposing the overall measure. By virtue of using the directional distance function, it is also possible to obtain an estimate of a lower bound on allocative inefficiency. It is found that French and US hospitals use quite different technologies. Long run scale inefficiencies cause most of the French hospitals’?inefficiency, while short run technical inefficiency is the main source of overall productive inefficiency in the US hospitals.     

Shadow prices of $$\hbox {CO}_{2}$$ emissions at US electric utilities: a random-coefficient,random-directional-vector directional output distance function approach

We estimate the shadow prices of \(\hbox {CO}_{2}\) emissions of electric utilities in the US over the period from 2001 to 2014, using a random-coefficient, random-directional-vector directional output distance function (DODF) model. The main feature of this model is that both its coefficients and directional vector are allowed to vary across firms, thus allowing different firms to have different production technologies and to follow different growth paths. Our Bayes factor analysis indicates that this model is strongly favored over the commonly used fixed-coefficient DODF model. Our results obtained from this model suggest that the average annual shadow price of \(\hbox {CO}_{2}\) emissions ranges from $61.62 to $105.72 (in 2001 dollars) with an average of $83.12. The results also suggest that the firm-specific average shadow price differs significantly across electric utilities. In addition, our estimates of the shadow price of \(\hbox {CO}_{2}\) emissions show an upward trend for both the sample electric utilities as a whole and the majority of the individual sample electric utilities.     

The relationship between pollution abatement costs and environmental regulation: Evidence from the Chinese industrial sector

Since the 2000s, China has been trying to strengthen emission controls in response to increasing pollution problems. However, strict implementation of emission controls generates pollution abatement costs. Using regional data for 29 provinces in the Chinese industrial sector from 1995 to 2010, this study estimated the pollution abatement costs for each province through the measurement of environmental efficiency, by applying a directional distance function approach. Moreover, using panel data analysis, this study clarified whether there is a nonlinear relationship between pollution abatement costs and environmental regulations. The empirical results are as follows. The study confirmed that the burden of abatement costs tended not only to occur in the central and western regions but also to increase in the eastern region. Moreover, the nonlinear relationship is inverted U‐shaped; thus, pollution abatement costs increase, as a negative effect of environmental regulations, until a certain inflection point, after which they decrease.     

Does Technological Innovation Really Reduce Marginal Abatement Costs? Some Theory,Algebraic Evidence,and Policy Implications

The existing literature models innovation in pollution control as a reduction in marginal abatement costs. We show that this assumption is inappropriate for production process innovations such as fuel switching. Algebraically, we examine the effects of different innovation types on marginal abatement cost curves, showing that some desirable innovations increase marginal abatement costs. Empirically, we estimate marginal abatement costs for sulfur dioxide by measuring the output distance function for electric power in Korea. Regression results confirm that production process innovations did raise marginal abatement costs in this case. One policy implication: economic instruments do not always provide stronger innovation incentives than command-and-control policies.      

Shadow directional distance functions with bads: GMM estimation of optimal directions and efficiencies

Because of its greater flexibility, the directional distance function (DDF) has been employed with increasing frequency to estimate multiple-input and multiple-output production, where inputs and outputs can be good or bad. However, typically researchers make three restrictive assumptions. First, they assume a direction of movement of firm production toward the frontier. Second, they assume that actual quantities of inputs and outputs are allocatively or price efficient. Third, they assume exogeneity of all inputs and all outputs, except for the normalized one. The first contribution of this paper is to include parameters to estimate optimal directions which correspond to the firm’s profit-maximizing (PM) position. The second contribution is to generalize the DDF to a shadow-quantity DDF. This entails adding distortion parameters to each input and output quantity of the DDF, creating shadow quantities. To estimate the shadow quantities and the structural parameters, we form the shadow DDF system, which includes the shadow DDF and all the first-order price equations from the shadow-PM problem. These include prices for bad inputs and bad outputs, where we approximate their missing prices for use in their first-order price equations. The third contribution is that we estimate the shadow DDF system using a Generalized Method of Moments approach, where all variables are potentially endogenous. This approach is simpler than the Bayesian one employed in Atkinson et al. (Estimating efficient production with bad inputs and outputs using latent prices and optimal directions. Working paper, University of Georgia, Athens, 2016), which estimated shadow prices and optimal directions. Using the same data set, both sets of results are qualitatively very similar, although they differ somewhat quantitatively.     

A hedonic-output-index-based approach to modeling polluting technologies

Despite some recent criticisms, the conventional radial distance function, which treats undesirable by-products as either frontier shifters or inputs, remains a popular go-to formulation of polluting production processes among practitioners. This unfading popularity is arguably driven by the ability of radial distance functions, unlike alternative directional distance functions, to allow for unit-free multiplicative changes in arguments as well as, by implicitly postulating the radial direction, to free researchers from the dilemma of having to explicitly choose the directional vector. In this paper, we offer a generalization of the standard radial distance function to polluting technologies that can accommodate undesirable by-products in a more economically meaningful way. Specifically, we propose modeling undesirable outputs via a hedonic output index, which is meant to ensure that pollutants are treated as outputs, as opposed to inputs or theoretically unregulated frontier shifters, while also recognizing their undesirable nature. By using a radial input distance function generalized to encompass an (unobservable) hedonic output index of desirable and undesirable outputs, we are able to meaningfully describe relationships between different products (including the complementarity of desirable and undesirable outputs) within producible output sets as well as to represent technically feasible polluting production possibilities given inputs. An empirical application of our methodology to the case of Dutch dairy farms in 2001–2009 demonstrates the complexity of interactions between outputs, thereby attesting to the value of more elaborate representations of production possibilities.     

Determining output shadow prices for a cost-constrained technology

We develop a method for computing output shadow prices when total cost and input prices are exogenous, using the indirect output distance function of Shephard (1974). We show that indirect distance function shadow price imputations for output prices are the same to a proportional constant as marginal cost imputations. We motivate our results by relating them to the problem of valuing the output of nonprofit institutions, to some measurement issues for noncompetitive industries, and to a problem of imputing sales of the commercial banking industry to consuming sectors of the economy in the national income accounts.Thanks are due to a very informed and helpful referee.Rolf Färe supported by IHE, Lund, Sweden.     

影子价格长短期划分及其计算

影子价格对资源配置具有重要的指导意义。但是影子价格的定义方式通常与短期生产相联系,而长期生产多资源要素的变化往往被忽视。区分生产短、长期,通过方向导数来确定长期生产资源调整的影子价格。     

External Costs of Aquaculture Production in West Virginia

Temperate hill-lands of the U.S.A. such as those in West Virginia are areas from which increasing output of farm-raised fish may be possible. However, the downstream economic impacts of current and projected future effluent as a result of aquaculture production have not been extensively studied. Using an externality framework and a combination of primary and secondary data, this study determines pollution prevention costs (PPC), and downstream pollution damage costs resulting from fish farm wastewater effluent measured as willingness to pay (WTP) for restoring water quality. PPC is estimated at $0.11 per kg of trout produced (which would add 6% to private production cost), and WTP is estimated at $0.49 per kg of trout produced (representing 25% of private production cost) at current production and price levels. This study shows that installation of filtration units is a low-cost (less than 6% of total cost) and an effective technology for controlling pollution at the source. Internalizing external costs (adding this 6% to private production costs) is one strategy that could contribute to sustainable growth of the aquaculture industry.     

ABATEMENT COST HETEROGENEITY IN PHASE I ELECTRIC UTILITIES

The market-based instruments embodied in the Acid Rain Program have been instrumental in the reduction of SO₂ and NO _x emissions from electric utilities. Economic theory suggests that tradable pollution permit systems encourage polluters to reallocate pollution burdens to take advantage of any differences in marginal abatement costs. Such reallocations improve the efficiency of pollution reduction. This article evaluates the effectiveness of the first phase of the Acid Rain Program in achieving increased homogeneity of marginal abatement costs using an output distance function approach. The results indicate that plants have been successful in adapting to this more flexible regulatory framework.     

INFRASTRUCTURE AND PRODUCTION EFFICIENCY: AN ANALYSIS ON THE KOREAN MANUFACTURING INDUSTRY

This study estimates an aggregate production function of manufacturing industry using panel data of 11 Korean regions covering 1977–1992. While the previous studies regard infrastructure as a direct input for production, the present study proposes that infrastructure has an effect on actual output by enhancing technical efficiency thereby, reducing the gap between maximum potential output and actual output. To investigate the relationship between infrastructure and technical efficiency, a stochastic frontier approach is applied to Korean manufacturing industry. Confirming the presence of substantial technical inefficiency in production, this study shows that an increase in infrastructure reduces the technical inefficiency level. The study also finds that, contrary to expectation, the industrialized regions are less efficient than the less industrialized ones. (JEL O20, H54, C23)     

The economics of university computer provision: a case study in public production and cost

Is the provision of computer services in British universities provided efficiently? The pattern of expenditure in the last twenty years is explored and a study is made of current spending across universities. Variations in unit computing costs and the output of computing expreience is studied for British universities using conventional cost and production function estimation. In addition the three-demensional production surface for the output of computer provision is estimated using distance weighted techniques. This case study has more general applicability to other areas of public production and cost.     

Total factor productivity differences: Appropriate technology vs. efficiency

Recent development and growth accounting studies have established that total factor productivity is an important source of cross-country differences in income levels and growth rates. This paper makes two contributions. First, it examines the sensitivity of the development accounting results to the Cobb-Douglas specification of the production function. Second, within the Cobb-Douglas framework, it weighs evidence of the two alternative explanations of total factor productivity differences: the inefficiency view and the appropriate technology view. To accomplish these tasks, the world production frontier is estimated using a nonparametric deterministic approach known as data envelopment analysis. I find that the fraction of income differences explained by physical and human capital increases from 32% to 55% when departing from the Cobb-Douglas assumption. There is also evidence consistent with the appropriate technology view; countries with an inadequate mix of inputs are unable to access the most productive technologies. Moreover, the world technology frontier appears to be shifting out faster at input combinations close to that of the R&D leader. However, inefficiency appears to be the main explanation for low incomes throughout the world; it explains 43% of output variation in 1995, and its importance has increased over time.