Efficiency and Technical Change in Intertemporal Intersectoral DEA

A new procedure for the measurement of efficiency and technical change is presented, using DEA with three-dimension data (box data), pooling over sectors, regions and time. Until now, when pooling the data in panel applications it has been assumed that technology remained unchanged, so productivity change was entirely attributed to technical efficiency change. However, patterns of technology change and the decomposition into efficiency and technical change elements can be accomplished by means of restrictions on the general structure of the technology indexes. Under the assumption of non-regressive technical change, upper and lower bounds for efficiency and technical change are obtained. The new methodology is illustrated in an analysis of productivity growth in 13 manufacturing sectors in the Spanish regions from 1980 to 1992.     

Hicks-Moorsteen versus Malmquist: a connection by means of a radial productivity index

A primal index of productivity change is introduced which decomposes exactly into three components: technical change, technical efficiency change and average scale economies (radial scale change). The productivity index is defined using variations of the distance function along pre-assigned input–output rays and, for this reason, it is deemed a radial productivity index (RPI). It is proven that: first, the RPI index collapses to the Malmquist productivity index when the technology is constant returns to scale (CRS); second the RPI index equals the Hicks-Moorsteen productivity index under homotheticity of technology (and non-CRS). The key to these results is a new definition and measure of the contribution of scale economies to productivity change.     

A superlative index number formula for the Hicks-Moorsteen productivity index

The Malmquist and Hicks-Moorsteen productivity indexes are the two most widely used theoretical indexes for measuring productivity growth. Since these productivity indexes are defined by unknown distance functions, it is necessary to estimate the distance functions to compute them in principle. On the other hand, the Törnqvist productivity index is an empirical index number formula that is directly computable from the prices and quantities of the inputs and outputs alone. Caves et al. (1982) imply that the Malmquist index coincides with the Törnqvist index under profit maximizing behaviour and constant returns to scale technology. The purpose of the present paper is to point out that the Hicks-Moorsteen productivity index coincides with the Törnqvist productivity index under the same condition. We emphasize that the condition of constant returns to scale is indispensable for deriving the equivalence between the two indexes. Moreover, even when this condition is relaxed to the α returns to scale, the equivalence between the Hicks-Moorsteen and Törnqvist productivity indexes is shown to hold true.     

Productivity and efficiency in the US: effects of business cycles and public capital

We add to the literature on the US productivity slowdown and effects of public capital on productivity by employing Malmquist productivity indexes to measure productivity. These indexes allow us to decompose productivity growth into efficiency change and technological innovation. We derive these components for each observation, which we exploit to explore factors which may lead to differences in productivity across regions, including business cycles, both own-state and cross-border public infrastructure investment, and relative sizes of the manufacturing, service and public sector. Our results suggest that the components of total factor productivity change lend important insights into the fairly complex effects of public capital on productivity growth.     

Returns to scale effect in labour productivity growth

Economists acknowledge that technical progress and growth in capital inputs increase labour productivity (LP). However, less focus is given to the realization that changes in labour input alone could also affect LP. Because this effect disappears when the short-run technology exhibits constant returns to scale, we call it the returns to scale effect. We decompose growth in LP into three contributing factors: (1) technical progress, (2) capital input growth and the (3) returns to scale effect. We propose theoretical measures for these three components and show that they coincide with the index number formulae consisting of prices and quantities of inputs and outputs. Subsequently, we apply the results of our decomposition to US industry data for 1987–2009. LP in the services sector is shown to grow much slower than that in the goods sector during the 1987–1995 productivity slowdown period. We conclude that the returns to scale effect can considerably explain the gap in LP growth between the two industry groups.     

Cost Malmquist productivity index: an output-specific approach for group comparison

The cost Malmquist productivity index (CMPI) has been proposed to capture the performance change of cost minimizing Decision Making Units (DMUs). Recently, two alternative uses of the CMPI have been suggested: (1) using the CMPI to compare groups of DMUs, and (2) using the CMPI to compare DMUs for each output separately. In this paper, we propose a new CMPI that combines both procedures. The resulting methodology provides group-specific indexes for each output separately, and therefore offers the option to identify the sources of cost performance change. We also define our index when input prices are not observed and establish, in that case, a duality with a new technical productivity index, which takes the form of a Malmquist productivity index. We illustrate our new methodology with a numerical example and an application to the US electricity plant districts.     

A Parametric Distance Function Approach for Malmquist Productivity Index Estimation

Malmquistindexes of productivity are generally estimated using index numbertechniques or non-parametric frontier approaches. The aim ofthis paper is to show that Malmquist indexes can be estimatedin a similar way using parametric-deterministic or parametric-stochasticfrontier approaches. To allow a multi-output multi-input technologyand for technical change in production, we adopt an output distancefunction which is specified in a translog form. We then showthat using the estimated parameters, several radial distancefunctions can be calculated and combined in order to estimateand decompose the productivity index. Finally, this approachis applied to a panel of Spanish insurance companies. The mainresults confirm those generally obtained for financial services:very low rates of growth and technical change in spite of a rapidderegulation process and expansion of activity.     

An aggregate quantity framework for measuring and decomposing productivity change

Total factor productivity (TFP) can be defined as the ratio of an aggregate output to an aggregate input. This definition naturally leads to TFP indexes that can be expressed as the ratio of an output quantity index to an input quantity index. If the aggregator functions satisfy certain regularity properties then these TFP indexes are said to be multiplicatively complete. This paper formally defines what is meant by completeness and reveals that (1) the class of multiplicatively complete TFP indexes includes Laspeyres, Paasche, Fisher, T?rnqvist and Hicks-Moorsteen indexes, (2) the popular Malmquist TFP index of Caves et al. (Econometrica 50(6):1393?C1414, 1982a) is incomplete, implying it cannot always be interpreted as a measure of productivity change, (3) all multiplicatively complete TFP indexes can be exhaustively decomposed into measures of technical change and efficiency change, and (4) the efficiency change component can be further decomposed into measures of technical, mix and scale efficiency change. Artificial data are used to illustrate the decomposition of Hicks-Moorsteen and Fisher TFP indexes.     

The impact of embodied and disembodied technical progress on productivity gaps—An applied general equilibrium analysis for Germany and Spain

The purpose of this paper is to analyze the impact of disembodied and of capital embodied technical progress on the closing of international productivity gaps. Within the framework of a partial equilibrium model the direct effect of technical progress on the change of productivity gaps can be calculated directly. However, since the two types of technical progress affect unit costs of industries differently, and hence the system of relative prices, an applied general equilibrium model is required in order to measure the indirect effect of technical progress on the change in productivity gaps. We employ variable cost functions with quasi-fixed effective capital, depending on the rate of embodied technical change, in order to generate a system of prices. Based on similarly structured applied general equilibrium models for Spain and Germany, we quantify the effects of sectoral embodied or disembodied technical change on reduction in national inflation as well as the effect on closing productivity gaps.     

中国农业生产率的变动与分解分析:1978～2004年--基于非参数的HMB生产率指数的实证研究

本文使用非参数的HMB生产率指数方法，考察了中国农村改革以来农业全要素生产率（TFP）的变动趋势，并把TFP的增长构成分解为技术进步、技术效率变化、规模效应和投入产出混合效应四个部分。结果表明，改革开放以来我国农业TFP的增长主要是由技术进步推动的，技术效率的下降对TFP的增长造成了不利影响，而规模效应和混合效应影响较弱。文章还指出中国农业的育种能力和生物技术的发展是农业技术进步的决定力量。     

Productivity,price recovery,capacity constraints and their financial consequences

Mining and fishing are both extractive industries, although one resource is renewable and the other is not. Miners and fishers pursue financial objectives, although their objectives may differ. In both industries financial performance is influenced by productivity and prices. Finally, in both industries capacity constraints influence financial performance, perhaps but not necessarily through their impact on productivity, and both industries encounter external as well as internal capacity constraints. In this study we develop an analytical framework that links all four phenomena. We use return on assets to measure financial performance, and our analytical framework is provided by the duPont triangle. We measure productivity change in two ways, with a theoretical technology-based index and with empirical price-based indexes. We measure price change with empirical quantity-based indexes. We measure internal capacity utilization by relating a pair of output quantity vectors representing actual output and full capacity output, and we develop physical and economic measures of internal capacity utilization. We also show how external capacity constraints can restrict the ability to reach full capacity output. The analytical framework has productivity change, price change and change in capacity utilization influencing change in return on assets.     

基于环境负产出的能效动态Malmquist模型研究

本文旨在研究环境效率—能源效率—经济效率的"三位一体动态全要素生产率"。首先基于数据包络分析建立了环境约束下的能效动态Malmquist模型,定义了能效效率改变指数、污效效率改变指数和动态进步指数。通过对中国18个行业2000～2007年的数据分析,指出未考虑环境效应、动态效应的Malmquist模型会带来误判,进而揭示出在中国能效全要素生产率改变过程中,能源环境效应起到了不可忽略的作用,而动态效应则是最大的瓶颈,却没得到应有的重视。     

Productivity accounting for separable technologies

This paper develops a method for decomposing total factor productivity growth in separable production technologies and uses it to examine the role of pest-damage prevention on agricultural productivity. The rate of technical change is decomposed into output-enhancing and damage-preventing components. Growth accounting cannot provide separate estimates of these two components of technical change, and instead a parametric model is developed based on the dual cost function. The proposed model captures both components of technical change, properly accounts for environmental effects, and also accommodates the presence of capacity utilization and scale biases. The empirical application of the model is to a sample of Cretan olive-oil producers, and the results show that output-enhancing technical change is more important than damage-preventing technical change in explaining observed total factor productivity (TFP) changes. The second largest source of TFP growth is due to the scale effect.     

The biennial Malmquist productivity change index

In this paper we introduce a new Malmquist productivity index that has three attractive features: it avoids linear programming infeasibilities under variable returns to scale, it allows for technical regress, and it does not need to be recomputed when a new time period is added to the data set. The proposed index is compared to both the adjacent Malmquist index and the global Malmquist index in an empirical example, which highlights the drawbacks of the existing indexes compared to the proposed biennial Malmquist index.Our results show that 13% of the observations in the data set may have to be ignored due to infeasibilities when decomposing the adjacent Malmquist index. Using only this reduced data set does at times lead to quite different results than those generated by applying the proposed biennial Malmquist index to the entire data set. The empirical example also shows that productivity change estimated between two time periods using the global Malmquist index change substantially when a third time period is added to the data set, whereas the proposed biennial Malmquist index is immune to this problem.     

Efficiency,productivity and technology comparison for farms in Central and Western Europe: The case of field crop and dairy farming in Hungary and France

This paper investigates the differences in technical efficiency and productivity change, and the technology gaps, between French and Hungarian farms in the dairy and cereal, oilseed and protein crops (COP) sectors during the period 2001–2007. The analyses were performed with national Farm Accountancy Data Network (FADN) data and the Data Envelopment Analysis (DEA) approach under each country's respective frontier and under a metafrontier.Results reveal that French COP farms were on average more efficient under their own technology than Hungarian farms under theirs, but there was no difference between the two countries for dairy farms. However, metatechnology ratios calculated with the construction of the metafrontier indicate that Hungarian technology was the more productive in both the dairy and the COP sectors, but more noticeably in COP production.     

Incorporating ancillary measures of process and quality change into a superlative productivity index

One of the persistent problems plaguing the measurement of productivity and output is accounting for changes in product quality. A similar problem arises in attempting to explain shifts in a production function using information on changes in the characteristics of the production process itself. We consider these problems under a behavioral model in which the firm chooses a profit-maximizing bundle of input/output/process characteristics as well as the profit maximizing levels of input and output. This view of quality change is similar to the endogenous design index advocated by Triplett [1983] for industrial prices and the endogenous quality indexes analyzed by Pollak [1983] for consumer prices. We show how a price-characteristics locus can be used to adjust the Tornqvist output- and input-oriented multifactor productivity indexes of Caves, Christensen and Diewert [1982] for changes in input, output and process characteristics. To show the applicability of the methodology to services, we apply the results in the framework of the commercial banking measurement of Fixler [1988] to measure the impact of bank branching on multifactor productivity.The refereeing process of this paper was handled through R. Färe.     

经济增长、全要素生产率与GDP核算误差

全要素生产率是技术进步的一个替代性指标.从全要素生产率及其变化的角度,反观GDP及其增长率是否真实或可信这一逻辑是否成立,依赖于技术进步的性质.如果技术进步是一个相对稳定而且缓慢的演化过程,那么,作为技术进步替代性指标的全要素生产率,在正常情况下,即在没有面临重大自然灾害或天赐良机的情况下,就不会在短期内发生急剧的变化;如果没有非正常情况发生而全要素生产率却发生了急剧变化,一般而言,是产出测量或投入测量出现了问题.但如果恰好面临技术革命或根本性制度变迁时期,则全要素生产率会发生漂移性变化,即从这一时刻起全要素生产率会发生永久性水平的变化.本文利用DEA模型实证性地研究了中国X省经济增长、全要素生产率与GDP核算误差之间的关系,并对相关现象进行了理论分析.     

两种等效益面生产函数与全要素生产率变化率的分解

本文根据规模报酬可变还是规模报酬不变，分别定义了一般等效益面生产函数和典型等效益面生产函数。由一般等效益面生产函数的离散型分解式可以测算一个生产单元的纯技术进步，以及纯技术效率变化对经济增长的贡献；而由典型等效益面生产函数可以将全要素生产率的变化率分解为典型技术进步率、纯技术效率和规模效率的变化率之和。进而由具有明确几何意义的离散型分解式分别测算典型技术进步和规模效率对经济增长的贡献。等效益面生产函数与分解式的几何意义还说明，全要素生产率的改变最终是由技术创新、制度创新和管理创新共同推动的。     

Productivity change in a multisectoral economic system

We estimate productivity growth without recourse to data on factor input shares or prices. In the proposed model, the economy is represented by the Leontief input–output model, which is extended by the constraints of primary inputs. A Luenberger productivity indicator is proposed to estimate productivity change; this is then decomposed in a way that enables us to examine the contributions of individual production factors and individual commodities to productivity change. The results allow for the identification of inputs or outputs that are the drivers of the overall productivity change. Their contributions are then decomposed into efficiency change and technical change components. Using input–output tables of the US economy for the period 1977–2006, we show that technical progress has been the main source of productivity change. Technical progress was mostly driven by capital, whereas low-skilled labour contributed negatively.     

技术进步的就业效应与技术进步路线的选择——基于1990～2005年中国省际面板数据的分析

本文结合1990~2005年中国省际面板数据,运用DEA方法测算了各省历年的全要素生产率变化,用以度量广义技术进步,并对技术进步的就业效应以及不同技术进步路线与就业增长的关系进行实证分析。研究表明虽然技术进步有助于三次产业间就业结构的调整与优化,但实证结果显示现阶段技术进步对中国就业增长产生了不利影响;虽然这并不意味着政府促进技术进步的举措就不利于实现就业的增长,但通过促进教育和培训事业的发展、鼓励科技创新等手段,政府促进技术进步的政策取向可以在不同程度上促进就业的增长,可以抑制技术进步对就业增长的挤出作用。