an environmental performance index for products reflecting damage costs abstract several studies have demonstrated how to use dea data envelopment analysis based techniques to estimate environmental performance indices none of these studies however are taking information on the environmental damage costs of the pressure types considered into account this study is bridging a gap between environmental indices founded in physical pressures and damage costs founded in welfare economics the aim of the paper is twofold first to demonstrate how to implement the information on environmental damage costs within a dea based environmental performance index and second to estimate these indices at product level by using danish input output data and environmental data from 1997

a non radial dea approach to measuring environmental performance data envelopment analysis dea has gained great popularity in environmental performance measurement because it can provide a synthetic standardized environmental performance index when pollutants are suitably incorporated into the traditional dea framework past studies about the application of dea to environmental performance measurement often follow the concept of radial efficiency measures in this paper we present a non radial dea approach to measuring environmental performance which consists of a non radial dea based model for multilateral environmental performance comparisons and a non radial malmquist environmental performance index for modeling the change of environmental performance over time a case study of oecd countries using the proposed non radial dea approach is also presented it is found that the environmental performance of oecd countries as a whole has been improved from 1995 to 1997

evaluating the environmental efficiency of a two stage system with undesired outputs by a dea approach an interest preference perspective abstract in this study we propose a new dea model to evaluate the environmental efficiency of a two stage system with undesired outputs the two stage system consists of two parts a production subsystem and a pollution treatment subsystem different choices for allocating resources to each subsystem represent different interest preferences of decision makers with the production subsystem corresponding to short term interests and the pollution treatment subsystem corresponding to long term interests based on a proposed new dea model three theorems are established to show the relationships between the interest preference parameter and the change of efficiency scores an empirical analysis was conducted using the data of 30 provinces and municipalities eight regions of china the empirical results show the effectiveness of the proposed model and the usefulness of the theorems for the real world data optimal efficiency rankings of the eight regions are provided and the efficiency rankings truly reflect the current environmental situations of these eight regions to examine the economic impacts and facilitate sustainable development we also analyze the shadow prices for undesired outputs corresponding implications of the empirical analysis are also discussed

multilateral productivity comparisons with undesirable outputs in a recent paper in this journal caves christensen and diewert i982 hereafter ccd derive what they term multilateral superlative indexes for use in the comparison of output input and productivity across economic entities the indexes derived are distinguished both by transitivity and by a high degree of characteristicity a term introduced by dreschler i 973 to refer to the degree to which the weights used in a comparison are specific to the observations being compared though the indexes are presented with the application to multicountry comparisons of output input and productivity foremost in mind the authors note that they may be useful in a number of other contexts as well i e firms and industries time series and pooled time series and cross section all of the applications mentioned or implied however have this in common they involve the comparison of productive entities all of whose outputs are sold for positive prices this is not surprising of course since most products with which economists are concerned possess this characteristic however it does render incomplete or potentially misleading the comparison of productive entities which produce significant amounts of undesirable outputs such as water and air pollution since the list of such entities is rather long and includes industries critical to many national and regional economies e g chemicals paper petroleum refining copper and steel the omission of this factor from consideration may be a matter of some importance 2 consider for example a comparison of the productivity of the steel industries

measuring the impacts of production risk on technical efficiency a state contingent conditional order m approach this article studies the influence of risk on farms technical efficiency levels the analysis extends the order m efficiency scores approach proposed by daraio and simar 2005 to the state contingent framework the empirical application focuses on cross section data of catalan specialized crop farms from the year 2011 results suggest that accounting for production risks increases the technical performance a 10 increase in output risk will result in a 2 5 increase in average firm technical performance 2014 elsevier b v all rights reserved

decomposing technical efficiency and scale elasticity in two stage network dea abstract the constant returns to scale assumption maintained by neoclassical theorists for justifying the black box structure of production technology in long run does not necessarily allow one to infer that there are no scale benefits available in its sub technologies most of real life production technologies are multi stage in nature and the sources of increasing returns lie in the sub technologies it is therefore imperative to estimate the scale economies of a firm not only for the network technology but also for the sub technologies to accomplish this two approaches are suggested in this contribution based on the premise concerning whether a network technology construct considers allocative inefficiency the first approach which is ours makes use of a single network technology for two interdependent sub technologies the second approach which is due to kao and hwang 2011 however assumes complete allocative efficiency by considering two independent sub technology frontiers one for each sub technology the distinction between these two approaches is important from a policy point of view since the network efficiencies revealed from these two approaches have distinctive causative factors that do not permit them to be used interchangeably

measuring ecological efficiency with data envelopment analysis dea abstract the measurement of ecological efficiency provides some important information for the companies environmental management ecological efficiency is usually measured by comparing environmental performance indicators data envelopment analysis dea shows a high potential to support such comparisons as no explicit weights are needed to aggregate the indicators in general dea assumes that inputs and outputs are goods but from an ecological perspective also bads have to be considered in the literature bads are treated in different and sometimes arbitrarily chosen ways this article aims at the systematic derivation of ecologically extended dea models starting from the assumptions of dea in production theory and activity analysis a generalisation of basic dea models is derived by incorporating a multi dimensional value function f extended preference structures can be considered by different specifications of f e g specifications for ecologically motivated applications of dea

returns to scale and damages to scale on u s fossil fuel power plants radial and non radial approaches for dea environmental assessment abstract this study proposes a new use of data envelopment analysis dea for environmental assessment paying attention to a methodological bias i e different methods produce different results dea is analytically classified into radial and non radial approaches the radial approach determines the level of unified operational and environmental efficiency by measuring an inefficiency score the score indicates the distance of a projection from an observed performance to an efficiency frontier in contrast the non radial approach determines the level of unified efficiency by measuring a total amount of slacks because each slack indicates inefficiency to avoid the methodological bias this study considers the use of radial and non radial approaches in this study we consider a production process where all organizations produce not only desirable good but also undesirable bad outputs as a result of their business operations to unify the two types of outputs this study discusses the concept of disposability which is separated into natural and managerial disposability the natural disposability indicates negative adaptation to a regulation change on undesirable outputs in contrast the managerial disposability indicates corporate strategy by which a firm considers the regulation change as a new business opportunity a firm attempts to improve its unified efficiency by utilizing new environmental technology and or new management this type of strategy indicates positive adaptation to the regulation change under the two disposability concepts this study discusses how to measure rts returns to scale under natural disposability and dts damages to scale corresponding to rts on undesirable outputs under managerial disposability the two scale measures are analytically discussed by the proposed radial and non radial approaches with scscs or without scscs where scscs indicate strong complementary slackness conditions an illustrative example on u s fossil fuel power plants indicates a policy implication that they need to introduce new technology for environmental protection this study also discusses a necessity of examining a methodological bias in energy studies empirical findings identified in this study document the practicality of the proposed approaches to measure rts dts

cost functions and duality for stochastic technologies cost functions dual to stochastic production technologies are derived and their properties are discussed these cost functions are shown to be consistent with expected utility maximization without placing serious structural restrictions on the underlying technology

alternative measures of environmental technology structure in dea an application abstract the nonparametric data envelopment analysis dea literature on environmental efficiency ee considers handling undesirable outputs in two alternative ways either in their original forms with the assumption that these are weakly disposable or in various translated forms with the assumption that these are strongly disposable choosing a particular approach implies adoption of a particular distinct treatment of undesirable outputs and hence yields a distinct set of ee estimates to explore the effects of the interplay between choice of ee measure and specific treatment of undesirable outputs this paper attempts to generate all possible output oriented ee measures based on these two alternative approaches furthermore guided by the argument that slacks are important in identifying properly the efficiency behavior of firms it proposes two new alternative slacks based formulations of ee one based on the range directional model and the other on the generalized proportional distance function model using a confected data set of ten firms and a real life data set of 22 oecd countries our empirical analysis reveals that first ee scores are influenced not only by the choice of disposability assumption for undesirable outputs but also by the way these are treated in various translated forms second the choice of any particular treatment of undesirable outputs plays no role in influencing the rankings of firms and third our two new alternative ee formulations are at the least viable alternatives to existing ee measures in ranking firms according to their eco efficiency behavior

portfolio turnpike theorems risk aversion and regularly varying utility functions models which incorporate both uncertainty and the dynamic behavior of economic agents are difficult to analyze 2 moreover even when a solution is obtained it can seldom be simply stated and rarely lends itself to straightforward interpretations an example of an appealingly understood result is a turnpike theorem which states that if the planning horizon is distant then the optimal policy can be approximated by a wealth independent policy our paper develops an analogous result in a stochastic intertemporal model of portfolio selection in fact we obtain necessary and some sufficient conditions for a turnpike the problem considered in this essay is that of an investor a von neumannmorgenstern expected utility maximizer who invests for a finite horizon and consumes only his terminal wealth at the beginning of the first period the investor allocates his wealth w among various assets and at the end of the first

a kuznets curve in environmental efficiency an application on oecd countries the role of the environment is an important issue in policy making andthe accurate assessment of the environmental conditions is vital inthis paper using nonparametric techniques an environmental efficiencyindex is developed for each of the oecd countries these indexes allowone both to do cross section comparisons on the state of each country sproduction process in its treatment of undesirable outputs and also totrace each country s modification of their production processesovertime furthermore in this study we investigate the factorsunderlying societies environmental concerns that eventually lead tochanges in the environmental efficiency the results provide furtherempirical evidence for the environmental kuznets curve hypothesis

multi period efficiency and malmquist productivity index in two stage production systems abstract conventional two stage data envelopment analysis dea models measure the overall performance of a production system composed of two stages processes in a specified period of time where variations in different periods are ignored this paper takes the operations of individual periods into account to develop a multi period two stage dea model which is able to measure the overall and period efficiencies at the same time with the former expressed as a weighted average of the latter since the efficiency of a two stage system in a period is the product of the two process efficiencies the overall efficiency of a decision making unit dmu in the specified period of time can be decomposed into the process efficiency of each period based on this decomposition the sources of inefficiency in a dmu can be identified the efficiencies measured from the model can also be used to calculate a common weight global malmquist productivity index mpi between two periods in that the overall mpi is the product of the two process mpis the non life insurance industry in taiwan is used to verify the proposed model and to explain why some companies performed unsatisfactorily in the specified period of time

undesirable outputs in efficiency valuations abstract efficiency measurement is usually based on the assumption that inputs have to be minimized and outputs have to be maximized in a growing number of applications however undesirable outputs are incorporated into the production model which have to be minimized in this paper various approaches for treating such outputs in the framework of data envelopment analysis dea are discussed and the resulting efficient frontiers are compared new radial measures are introduced which assume that any change of the output level will involve both undesirable and desirable outputs

modeling undesirable factors in efficiency evaluation abstract data envelopment analysis dea measures the relative efficiency of decision making units dmus with multiple performance factors which are grouped into outputs and inputs once the efficient frontier is determined inefficient dmus can improve their performance to reach the efficient frontier by either increasing their current output levels or decreasing their current input levels however both desirable good and undesirable bad factors may be present for example if inefficiency exists in production processes where final products are manufactured with a production of wastes and pollutants the outputs of wastes and pollutants are undesirable and should be reduced to improve the performance using the classification invariance property we show that the standard dea model can be used to improve the performance via increasing the desirable outputs and decreasing the undesirable outputs the method can also be applied to situations when some inputs need to be increased to improve the performance the linearity and convexity of dea are preserved through our proposal

performance evaluation of participating nations at the 2012 london summer olympics by a two stage data envelopment analysis this study measures the performance of participating nations at the olympics considering the quest for medals as a two stage olympic process the first stage is characterized as athlete preparation ap and the second stage as athlete competition ac we extend the relational model from the constant returns to scale framework to the variable returns to scale version the efficiency of each participating nation in the entire two stage olympic process is calculated as a product of the efficiencies of both stages and a heuristic search is applied to the extended relational model the efficiency of each stage can be obtained and directions for improving the performance of participating nations in the two stage olympic process can be identified an empirical study of the 2012 london summer olympic games reveals that the efficiency of the ap stage is higher than that of the ac stage for the majority of participants in addition a plot of the relationship between these three efficiencies shows that the efficiency of the entire two stage olympic process is more significantly related to that of the ac stage than that of the ap stage

renewable energy and macroeconomic efficiency of oecd and non oecd economies abstract this article analyzes the effects of renewable energy on the technical efficiency of 45 economies during the 2001 2002 period through data envelopment analysis dea in our dea model labor capital stock and energy consumption are the three inputs and real gdp is the single output increasing the use of renewable energy improves an economy s technical efficiency conversely increasing the input of traditional energy decreases technical efficiency compared to non oecd economies oecd economies have higher technical efficiency and a higher share of geothermal solar tide and wind fuels in renewable energy however non oecd economies have a higher share of renewable energy in their total energy supply than oecd economies

multilateral productivity comparisons when some outputs are undesirable a nonparametric approach multilateral productivity comparisons of firms producing multiple outputs some of which are undesirable are obtained by making two modifications to the standard farrell approach to efficiency measurement the restriction that production technology satisfy strong disposability of outputs is relaxed to allow for the fact that undesirable outputs may be freely disposable and the efficiency measures are modified to allow for an asymmetric treatment of desirable and undesirable outputs performance measures that satisfy these requirements are calculated as solutions to programming problems the methodology is applied to a sample of mills producing paper and pollutants

dea radial measurement for environmental assessment and planning desirable procedures to evaluate fossil fuel power plants abstract energy policy depends on a proper use of methodology in guiding a large energy issue such as the global warming and climate change dea is one of such methodologies that are often used for preparing environmental policy which is closely linked to various energy issues unfortunately the use of dea applied to environmental policy is insufficient often misguiding policy makers and other individuals who are involved in energy issues this study provides three guidelines for a use of dea in preparing environmental assessment first it is important to prepare both primal and dual formulations to confirm whether information regarding all production factors i e inputs desirable and undesirable outputs is fully utilized in dea assessment second dea has model variations in radial and non radial measurements it is necessary for us to examine environmental issues by different models in order to avoid a methodological bias existing in those empirical studies finally dea environmental assessment needs to incorporate the concept of natural and managerial disposability the natural disposability indicates that a firm negatively adapts a regulation change on undesirable outputs in contrast the managerial disposability indicates that a firm positively adapts the regulation change because the firm considers the regulation change as a new business opportunity

the problem of population and growth a review of the literature from malthus to contemporary models of endogenous population and endogenous growth abstract this paper deals with the evolution of the literature on the problem of population and growth from the classical period to the recent literature on endogenous growth and development the problem concerns two distinct issues 1 how to explain the observed covariation of the levels and rates of growth of per capita income and population size over time and space and 2 how to improve the human condition represented by these variables through an accommodating social policy the evolution of the literature we survey is reflected by the progressive treatment of key variables as endogenous rather than exogenous to the growth process it is also reflected by a shift from the historical concern about population explosion and its implications for growth to the more recent concern about the association between growth and population implosion in many developed countries

congestion measurement for regional industries in china a data envelopment analysis approach with undesirable outputs abstract the industry in china has been developing extensively in the last few decades large investments in china s industry may cause congestion because congestion is a widely observed economic phenomenon in such a scenario in order to know the performance and allocate resources well it is necessary for the chinese government to measure congestion of the industry many scholars have studied this topic by means of data envelopment analysis dea however previous studies only pay attention to the framework of desirable outputs in fact undesirable outputs often accompany desirable outputs in production thus in this study a new approach for measuring congestion with undesirable outputs is proposed and applied to analyzing congestion of the industry in 31 administrative regions of china the results show that five regions have congestion in their industry in 2010 besides the regions located in the east of the country perform the best in ecological efficiency followed by regions in central and west china based on these findings this paper proposes some political schemes to improve regional industrial efficiency

productivity and intermediate products a frontier approach abstract in recent years it has become popular to measure productivity using non parametric approaches however this has been done while ignoring intermediate products here we develop a non parametric productivity measure that explicitly incorporates such products

environmental assessment by dea radial measurement u s coal fired power plants in iso independent system operator and rto regional transmission organization abstract the economic concept of weak and strong disposability on undesirable outputs dominated the previous discussions on dea data envelopment analysis radial measurement for environmental assessment this study reexamines the economic concept from the perspective of corporate strategies on how to adapt a regulation change on undesirable outputs the economic concept of disposability conventionally accepted by production economists is replaced by natural and managerial disposability in this study the natural disposability implies an environmental strategy that a firm attempts to decrease an input vector to reduce a vector of undesirable outputs given the decreased input vector the firm attempts to increase a vector of desirable outputs as much as possible this type of strategy indicates negative adaptation meanwhile the managerial disposability indicates an opposite strategy by increasing the input vector this disposability expresses an environmental strategy by which a firm considers a regulation change on undesirable outputs as a new business opportunity a firm attempts to improve its unified operational and environmental performance by utilizing new technology and or new management the strategy indicates positive adaptation considering the two types of disposability this study discusses how to measure unified efficiency under natural and managerial disposability by dea radial models to document the practicality of the proposed dea environmental assessment this study applies it to compare the performance of u s coal fired power plants under isos rtos independent system operators regional transmission organizations with that of the other power plants not belonging to any organization this study identifies two empirical findings one of the two findings is that the latter coal fired power plants outperform the former power plants belonging to isos rtos in terms of three efficiency measures this result indicates that isos and rtos do not provide an effective coordination for coal fired power plants at the level that can be found in the other power plants the other finding is that there is technological improvement in the operation of coal fired power plants

fixed cost and resource allocation based on dea cross efficiency abstract in many managerial applications situations frequently occur when a fixed cost is used in constructing the common platform of an organization and needs to be shared by all related entities or decision making units dmus it is of vital importance to allocate such a cost across dmus where there is competition for resources data envelopment analysis dea has been successfully used in cost and resource allocation problems whether it is a cost or resource allocation issue one needs to consider both the competitive and cooperative situation existing among dmus in addition to maintaining or improving efficiency the current paper uses the cross efficiency concept in dea to approach cost and resource allocation problems because dea cross efficiency uses the concept of peer appraisal it is a very reasonable and appropriate mechanism for allocating a shared resource cost it is shown that our proposed iterative approach is always feasible and ensures that all dmus become efficient after the fixed cost is allocated as an additional input measure the cross efficiency dea based iterative method is further extended into a resource allocation setting to achieve maximization in the aggregated output change by distributing available resources such allocations for fixed costs and resources are more acceptable to the players involved because the allocation results are jointly determined by all dmus rather than a specific one the proposed approaches are demonstrated using an existing data set that has been applied in similar studies

the static and dynamic environmental efficiency of renewable energy a malmquist index analysis of oecd countries abstract in recent years renewable energy and environmental efficiency have been interesting issues for both academics and industry actors when discussing sustainable development against this background the present study examines the environmental efficiency of renewable energy from the static and the dynamic perspective in 31 oecd countries a study conducted to understand the impact of renewable energy across countries as a non parametric methodology data envelopment analysis is used to measure environmental efficiency through multiple inputs and outputs labor capital and renewable energy supply are the three inputs while gdp is the desirable output and carbon emissions are the undesirable output to measure the dynamic environmental efficiency of renewable energy the malmquist productivity index is applied to estimate the average efficiency change from 2004 to 2011 the results demonstrate geographical differences in environmental efficiency across the oecd countries in oecd america have the highest average environmental efficiency and those in oecd europe have the largest standard deviation we also find that dynamic efficiency is influenced by the global financial crisis triggered in the united states further we show that oecd countries implement both catch up and frontier shift strategies to improve environmental efficiency

slacks based efficiency measures for modeling environmental performance we develop two slacks based efficiency measures for modeling environmental performance on the basis of environmental dea technology of the two measures one is a composite index with a higher discriminating power for modeling economic environmental performance and the other can be used to estimate the impacts of environmental regulations we apply the proposed measures to model the co2 emissions of 30 oecd countries from 1998 to 2002 and present the results obtained