A comparison of stochastic frontier approaches for estimating technical inefficiency and total factor productivity

This article compares standard stochastic frontier models for panel data with a number of recently developed models which attempt to control for unobserved heterogeneity in the inefficiency component. Results are used to construct a generalized Malmquist Total Factor Productivity (TFP) index for the Irish tillage sector. While our application yields similar general TFP trends across models, it is evident that this new class of model leads to fewer theoretical inconsistencies in the production frontier. Furthermore, inefficiency estimates across models are critically compared and the potential benefits of controlling for unobserved heterogeneity are highlighted.     

A measure of total factor productivity with biased technological change

The paper presents a new measure of total factor productivity (TFP) that also takes into account the effect of biased technological change. With this methodology, we can distinguish the effects resulting from the introduction of neutral or biased technological change on TFP, called neutral factor productivity and biased factor productivity (BFP), respectively. The new measure of TFP also holds in extreme cases where only the effect of neutral/biased technological change is presented. In particular, the BFP component increases (decreases) when the productivity of the cheaper (more expensive) factor increases. Moreover, the TFP holds up to the modification of both units of measure and to the costs of factors. Finally, the intensity of the BFP is independent of the direction of the technological change.     

Complexity and technological change: knowledge interactions and firm level total factor productivity

The analysis of social interactions as drivers of economic dynamics represents a growing field within the economics of complexity. Social interactions are a specific form of interdependence whereby the changes in the behavior of other agents affect utility functions for households and production functions for producers. In this paper, we apply the general concept of social interactions to the area of the economics of innovation and we articulate the view that knowledge interactions play a central role in the generation of new technological knowledge so that innovation becomes the emergent property of a system, rather than the product of individual actions. In particular, we articulate and test the hypothesis that different layers of knowledge interactions play a crucial role in determining the rate of technological change that each firm is able to introduce. The paper presents an empirical analysis of firm level total factor productivity (TFP) for a sample of 7,020 Italian manufacturing companies observed during the years 1996–2005. This will enable us to identify the distinctive role of regional, inter-industrial and localized intra-industrial knowledge interactions as distinctive and significant determinants, together with internal research and innovation efforts, of changes in firm level TFP.     

A reassessment of total factor productivity convergence: Evidence from cross-country analysis

This study revisits total factor productivity (TFP) convergence by employing the latest Lagrange multiplier and residual augmented least squares Lagrange multiplier unit root tests and Phillips and Sul panel club convergence technique. The study uses annual data for 44 developing and 29 developed countries covering the time-period 1970–2014. Our findings from these unit root tests support evidence of TFP convergence. Region-based results (Africa, Asia, and Latin America and the Caribbean) also confirm TFP convergence. Further, results derived from the Phillips and Sul test support evidence of TFP convergence, although the speed of convergence varies by region. The highest speed is noted in the Asia region, whereas, the lowest of speed productivity convergence is observed in the Africa region.     

Decomposition of total factor productivity in world health production: a stochastic frontier approach

While countries around the globe have increased spending on health care, economists and policy makers have raised concerns over the productivity and efficiency of health care. This article applies a stochastic frontier approach to address this issue using data from 141 countries for the period 1993 to 1997. From the perspective of productivity change, our results suggest that gains in population health will be greater provided that more resources are allocated to investment in human capital. We also show that the scale component accounts for 65–70% of the productivity change. That is, omitting the scale component in our case will result in a significant underestimation of the decline in the productivity of world health production. We do not find evidence supporting the hypothesis that production frontiers differ between Organization for Economic Cooperation and Development (OECD) and non-OECD countries. However, the change in productivity and scale elasticity do vary significantly between these countries.     

Middle-income country trap and total factor productivity growth

This study assessed the factors allowing middle-income countries to achieve higher income levels and thus escape the middle-income trap (MIT). By deriving a stochastic production function using the Cornwell–Schmidt–Sickles (CSS) estimator and country panel data, we successfully distinguished between growth due to total factor productivity (TFP) and that attributable to various production inputs after controlling for random shocks and cross-sectional dependence. We found that TFP growth was the main factor distinguishing middle-income countries that have and have not escaped from the MIT; the former countries had significantly higher TFP growth.     

Capital utilization,economies of scale and technical change in the growth of total factor productivity: An Explanation of South Korean manufacturing Growth

This paper presents a method of interpreting the growth of total factor productivity, directly linking the productivity growth to key parameters of a specific cost function. It shows that the productivity index can be decomposed into effects due to (a) technical change, (b) non-constant returns to scale, and (c) change in capital utilization. The decomposition framework was applied to data on South Korean manufacturing. During the 1961–1980 period in South Korean manufacturing, the total factor productivity was found to have grown at 3% per annum, scale economies contributed about 38% of the growth of TFP, the technical change 45%, and the change in the capital utilization rate 17%. The results of this study support of the view that for growing, less-developed economies, the growth in capital utilization rate is a source of growth in total productivity that is too significant to be ignored.     

European integration, productivity growth and real convergence

This paper derives a stochastic endogenous growth model to investigate the impact of European Union (EU) integration on convergence and productivity growth. The theoretical model implies both temporary and permanent positive effects of the integration process. The empirical part of the analysis uses structural break tests and data envelopment analysis to examine the accession process of five recent members to the EU15. The results show (i) endogenously identified accession dates as structural breaks, (ii) improved rates of productivity growth after accession over and above the Union benchmark level, and (iii) increased pace of overall growth due to capital accumulation as a result of institutional features of the Union such as Structural and Cohesion Funds. These findings support the theoretical model, implying that economic integration is beneficial for member countries, especially from a long-run perspective, and Cohesion and Structural funds help the new members catch up with the core-EU members’ standard of living.     

Exports,technical progress and productivity growth in a transition economy: a non-parametric approach for China

Theories suggesting either static or dynamic productivity gains derived from exports often assume the prior existence of a competitive market. In the presence of market imperfection and distortion, however, the competition and resource reallocation effects of exports on productive efficiency may be greatly reduced; and there may actually be disincentives for innovation. This paper analyses the impact of exports on aggregate productivity growth in a transition economy using a panel of Chinese manufacturing industries over the period 1990–1997. TFP growth is estimated by employing a non-parametric approach and is decomposed into technical progress and efficiency change. No evidence has been found suggesting significant productivity gains at the industry level resulting from exports. Findings of the current study suggest that, for exports to generate significant positive effect on TFP growth, a well-developed domestic market and a neutral, outward-oriented policy are necessary.     

X-Factor updating and total factor productivity growth: the case of peruvian telecommunications, 1996–2003

This paper measures TFP growth of Telefonica del Peru, and based on this growth rate computes a telecommunications X-factor or offset. More broadly the paper analyses the problem of updating an X-factor under existing price cap regulation. A revised offset must account for the possible restructuring of service offerings resulting from improved efficiencies in response to price cap incentives. Our updating framework focuses on efficiency criteria, and based on economic principles emphasizes the continuity between prior and continuing standards. In the case of Peru, based on annual average TFP growth of 1.66%, the X-factor is computed to be 4.06% per year. An erratum to this article can be found at     

Entrepreneurship and productivity: The slow growth of the planned economies

Trends in gross domestic product (GDP) and total factor productivity (TFP) growth in the former socialist economies seem to indicate that these economies were converging to unusually low long-run growth rates in the late 1980s. In this paper we develop an endogenous growth model of entrepreneurship that is able to account for the difference in long-run performance between centrally planned economies and market-oriented ones. Long-run growth rates of output and productivity are determined by the growth of the stock of managerial knowledge, which in turn depends on the share of the population involved in entrepreneurial activities and on the time that spent on those activities. We analyze the effect of two characteristics of centrally planned economies on their growth performance. First, in centrally planned economies factors of production are distributed by the central planner to the firms' managers through a contest that uses up some of the managers' productive effort. Second, the leadership is “egalitarian,” in the sense that it treats individuals with different abilities equally. We show that these two features reduce the fraction of people becoming entrepreneurs/managers, as well as their managerial effort, which in turn reduces long-run output and TFP growth. Furthermore, we find that centrally planned economies have lower income inequality and slightly higher capital–output ratios, which is consistent with these countries' experiences.     

Technical change and total factor productivity growth: The case of Chinese provinces

In the literature technical change (TC) is mostly assumed to be exogenous and specified as a function of the time trend or time dummies. However, some exogenous external factors other than time can also affect TC. In this paper we model TC via time trend (external non-economic) as well as other exogenous (external economic) factors (technology shifters). For this we define technology indices based on the external economic factors and the time trend. The specification of production function is then amended to accommodate these technology indices which are not necessarily separable from the traditional inputs. That is, these technology indices allow for non-neutral shift in the production function. In doing so we are able to decompose TC (a component of TFP change) into two parts. One part is driven by time and the other part is related to producer-specific external economic factors. The latter can further be decomposed into each external economic factors. The empirical model uses panel data on Chinese provinces. We identify a number of key technology shifters and their effect on technical change and TFP growth of provinces are examined.     

The sources of total factor productivity growth: Evidence from Canadian data

A dynamic general equilibrium model is constructed and used to identify sources of total factor productivity growth in Canada and to quantify their importance. The model also provides procedures for constructing measures of technological progress. We find that periods of low productivity growth correspond to periods of high growth in investment-specific technology (IST) or high rates of technology embodiment. For example, the growth rate of IST was relatively high between 1974 and 1996. The higher growth rate of IST during this period should have increased the rate of productivity growth by an estimated 0.29 percentage points, ceteris paribus. Yet, productivity growth slowed. Why?     

Total factor productivity and the measurement of technological change

Abstract.  TFP is interpreted in the literature in different, mutually contradictory ways. Changes in TFP are shown to measure not technological change, only the super‐normal returns to investing in such change – returns that exceed the full opportunity cost of the activity. Thus, in the limit, technological change can proceed with unchanged TFP. Measuring the effects of technological change instead requires counterfactual estimates. Reasons why changes in TFP are imperfect measures of super normal returns are also studied – reasons connected with the timing of output responses, the treatment of R&D in the national accounts, the omission of resource inputs, and two types of aggregation.     

Efficiency and technical progress: sources of convergence in the Spanish regions

The paper analyses the contribution of efficiency as a mechanism of labour productivity convergence, taking as the unit of analysis the Spanish regions in the period 1964–1993. Using the stochastic frontier approach, a translogarithmic production function is estimated for the different sectors of the Spanish regional economy, demonstrating on this basis the existence of substantial differences in efficiency between sectors as well as between regions. With regard to convergence, the results obtained indicate that at aggregate level the convergence observed in labour productivity is explained by the faster growth of the capital-labour ratio of the initially poorer regions and the contribution of technical change and the efficiency, hence by the convergence of TFP. However, the information by sectors shows different results. Thus, on the one hand, the importance of the convergence in production per employee is seen in all sectors except agriculture and, on the other it is observed that technical change is a factor of convergence in all sectors but construction, and, qualitatively, the contribution of technical change is greater than the contribution of efficiency. By sectors, technical change contributed significantly to labour productivity convergence in agriculture, but the faster growth of the capital-labour ratio of the rich regions acted as a mechanism of divergence, completely counteracting the technological catching-up effect. It is further concluded that, as well as the contribution of the accumulation of factors, the positive evolution of efficiency in the poorest regions favoured convergence in the construction and industry sectors, whereas technical progress was decisive in industry and the services sectors.     

Resource scarcity,technological progress,and stochastic growth

Will shortages of natural resources constrain economic growth? The answer seems yes, as the amount of natural resources on earth is finite. There can, however, be two excuses for this. First, the resource-saving technological progress might undo resource scarcity. Second, at the country level, countries can import resources from other countries. This paper revisits these two excuses. For technology, not all technological progress is resource-saving, and its arrival is unpredictable. For the import argument, at the global level, the world cannot make up for a shortage of natural resources by importing. Moreover, the amount of resources is difficult to forecast. To address these, I construct the open, stochastic two-sector endogenous growth model with exhaustible resources. I then analytically show that the answer is sensitive to the interaction between technology and resource shocks. In some cases, I find that higher resource uncertainty accelerates the expected growth and improves the welfare of agents.     

Technological convergence, R&D, trade and productivity growth

This paper analyses productivity growth in a panel of 14 United Kingdom manufacturing industries since 1970. Innovation and technology transfer provide two potential sources of productivity growth for a country behind the technological frontier. We examine the roles played by research and development (R&D), international trade, and human capital in stimulating each source of productivity growth. Technology transfer is statistically significant and quantitatively important. While R&D raises rates of innovation, international trade enhances the speed of technology transfer. Human capital primarily affects output through private rates of return (captured in our index of labour quality) rather than measured TFP.     

Decomposing growth in revenues and costs into price,quantity and total factor productivity contributions

This article employs the superlative Fisher and Törnqvist indexes for exact decomposition of growth in nominal revenues and costs. The findings confirm the well-known result that these indexes very closely approximate each other, implying that the mathematically simpler and computationally easier Törnqvist is the more practicable index. Moreover, this article's nominal growth decomposition yields all the results from the more common real growth decomposition and is also more informative for policy purposes. Application to the US agricultural sector during 1948–2001 shows that of the 3.31% average annual growth in revenues, TFP growth contributed 1.90 percentage points (pct. pts.); growth in output prices added 1.43 pct. pts.; while growth in input quantities contributed?–?0.02 pct. pts. (i.e. fewer inputs). Therefore, real output growth (or revenue growth less output price growth) was 1.88 pct. pts., revealing that TFP's 1.90 pct. pts. growth contribution was fully responsible for real output growth with fewer inputs. Since revenues measure incomes, these results suggest that policy should focus more on measures to foster TFP growth than on specific price or quantity instruments to enhance income growth.     

The outsourcing productivity paradox: total outsourcing, organisational innovation, and long run productivity growth

A growing number of empirical studies find a relationship between the outsourcing of activities and a long term loss of firm productivity growth. The paper addresses this outsourcing productivity paradox by examining the connection between total outsourcing and organisational innovation. We present a model of organisational innovation in which managers raise productive efficiency by identifying organisational architectures that more effectively integrate value-adding activities and administrative routines. As part of this process, managers can internally or externally source an activity. Simulations of the model show that large scale outsourcing restricts the scope for future organisational innovation, leading to lower productivity growth. The findings accord with the empirical data and provide a salutary warning for managers and policy-makers about the long term implications of total outsourcing.