A Fourier analysis of the US dairy industry

Measurement of economies of scale and scope is particularly important for predicting growth and product diversification. However, estimates are useful only to the extent the underlying production technology is modelled accurately. This study measures economies of scale and scope in the rapidly changing US dairy industry with a Fourier flexible cost function, which provides a global approximation of the unknown function. We use the high quality national Agricultural and Resource Management Survey (ARMS) survey data. We find economies of scale at most firm sizes and persistent economies of scope across firm sizes in this industry, which is counter to estimates from two Diewert‐flexible functional forms.     

Costly structural change and optimal growth

Summary This paper studies the optimal growth of a developing economy that has a choice to expend a fixed amount of resource for a structural change that advances its production technology. It is shown that structural change is undertaken if capital stock is above a critical level. Economies undertaking structural change converge to a larger steady state and economies not undertaking structural change converge to a smaller steady state. The optimal policy correspondences and growth paths are characterized. The social optimum is shown implementable by a competitive equilibrium with lump-sum taxation.We are grateful to Francis Cheung, Carmen Menezes, Peter Mueser, Don Schilling, two anonymous referees and an associate editor for their valuable suggestions.     

Cost structure,technological change,and productivity growth in the greek banking sector

This paper first empirically investigates the cost structure of the Greek banking sector. Secondly, it provides measures of economies (diseconomies) of scale and quantifies technical change and its sources. Finally, this paper measures total factor productivity growth and identifies its sources. Bank production is presented with two different approaches (the intermediation and the production approach) which are used to specify a translog cost function. The two different translog cost models are estimated through the full information maximum likelihood method of estimation on pooled time series and cross sectional data. The results obtained are not significantly affected by model specification. Both models indicate significant economies of scale and negative annual rates of growth in technical change and in total factor productivity.     

关于医院规模经济的实证分析

规模发展已经成为当今医院在市场竞争中的一种主要手段。运用超越对数成本函数,选取了某区域15家三级甲等医院2002—2006年的数据,估算出了医院的规模经济系数。计量结果显示,增加劳动力投入和资本投入均不能带来规模经济,该样本中的医院均处于规模不经济状态。此外还就医院的规模不经济问题进行原因分析和提出若干建议。     

Productivity growth in passenger-bus transportation: A heteroskedastic error component model with unbalanced panel data

This paper considers an econometric approach to measure total factor productivity (TFP) growth and technical change (TC) for 31 publicly-owned passenger-bus companies in India during 1983–1987. A translog variable cost function is used to represent the production technology. Firm heterogeneity is incorporated in the cost function using an error component model with firm-specific variances. TFP growth is decomposed into TC and economies of scale components. The TC component is further decomposed into pure, non-neutral, scale, and quasi-fixed factors/network components. An ownership group-wise comparison reveals that the public undertakings exhibit the highest rate of productivity growth, followed by the units operated by the state and local governments. The main source of TFP growth for the public undertakings and government-operated units is economies of scale, while the main source of falling TFP growth for corporations is technological regress.     

Mark-ups, economies of scale and the role of knowledge spillovers in OECD industries

Using R&D-based models of economic growth as a foundation, this paper argues that market-driven knowledge creation is necessarily linked as an engine of productivity growth to economies of scale and market-power. A cost function and factor demand model is applied to a cross-country industry data set to study market-power, economies of scale and the role of knowledge in an integrated approach. Empirical results reveal the presence of market-power and economies of scale in all of the industries investigated. R&D and spillovers explain some of the productivity growth observed. Spillovers are identified as an external source of economies of scale.     

On the solution of a stochastic optimal growth model

This note discusses a stochastic optimal growth model in which the optimal paths can be obtained by a simple direct argument. The structural characteristics of the model are the infinite horizon, the form of the instantaneous utility function, and uncertainty as a Wiener process in a linear production constraint. The note explains that, for optimality, at each point in time a formally identical problem must be solved. This implies that the optimal saving ratio must be constant.A proof, employing the rules of stochastic calculus, that the ensuing paths are the unique globally optimal paths is also given.We are very grateful to two referees of this journal for their invaluable comments and suggestions.     

Estimation of scale and scope economies in multiproduct banking: evidence from the Fourier flexible functional form with panel data

An empirical study is conducted on scale and scope economies for Taiwan's banking industry with panel data using a Fourier flexible cost function developed by Gallant and a translog cost function, both of which take economic efficiency into account. It is found that the Fourier form is more appropriate than the traditional translog form in fitting the data, and that various efficiency measures computed using the Fourier function are compatible with each other, while those computed using the translog function are not. The Fourier evidence shows that sample banks continue to enjoy economies of scale, and exhibit scope diseconomies, which indicates that greater product diversification can reduce banking costs through product-mix economies. Banks may benefit from further diversifying their line of financial services.     

Service quality,scale economies and ownership: an econometric analysis of water supply costs

Issues related to service quality are crucial for water utility management and regulation. Omitting these aspects, especially when they are treated as exogenous, can lead to large biases in estimating cost functions as well as to misleading information concerning technology. In this article, we integrate the output multi-dimension in the cost function, considering delivered water volume and service quality as being endogenous. Network-related scale measures and private versus public ownership are investigated with the objective of evaluating how endogenous quality may affect their impact on costs. A translog cost model is estimated from a dataset of US water utilities. It is shown that including the quality level of the delivered services has a significant impact on scale economies and ownership effects. Significant economies of scope confirm the existence of trade-offs between water production and service quality.     

Incentive Regulation of Prices When Costs are Sunk

We present a model featuring irreversible investment, economies of scale, uncertain future demand and capital prices, and a regulator who sets the firm’s output price according to the cost structure of a hypothetical replacement firm. We show that a replacement firm has a fundamental cost advantage over the regulated firm: it can better exploit the economies of scale because it has not had to confront the historical uncertainties faced by the regulated firm. We show that setting prices so low that a replacement firm is just willing to participate is insufficient to allow the regulated firm to expect to break even whenever it has to invest. Thus, unless the regulator is willing to incur costly monitoring to ensure the firm invests, revenue must be allowed in excess of that required for a replacement firm to participate. This contrasts with much of the existing literature, which argues that the market value of a regulated firm should equal the cost of replacing its existing assets. We also obtain a closed-form solution for the regulated firm’s output price when this price is set at discrete intervals. In contrast to rate of return regulation, we find that resetting the regulated price more frequently can increase the risk faced by the firm’s owners, and that this is reflected in a higher output price and a higher weighted-average cost of capital.     

Trade liberalization and the Mexican steel industry

The impact of the North American Free Trade Agreement (NAFTA) on the competitive positions of Mexican and U.S. steel producers is investigated employing a translog cost function with four inputs (capital, labor, domestic intermediate goods, and foreign intermediate goods) to examine scale characteristics and input substitution in Mexican steel production. Results are consistent with diseconomies of scale at high levels of output and with substitute relationships between all input pairs except labor and domestic intermediate goods. Thus, output growth will likely result in cost reductions for Mexican producers only if the industry reaps significant benefits from substitution of foreign inputs for domestic. Recent increases in Mexico's imports of finished steel have much exceeded those of steel industry inputs, and it therefore does not seem likely that a Mexican cost advantage over steel producers in the United States will soon emerge as a result of economies of scale.     

Sources of productivity growth: an empirical analysis with German sectoral data

Many theoretical analyses of the sources of economic growth focus on knowledge spillovers and scale economies to explain growth endogenously. The contribution of this paper is to shed some light on these arguments by an empirical investigation based on a production function framework. Sectoral production functions are estimated with annual German data of 51 sectors from 1960–90. The estimates reveal that both a pure Solow growth model and a Solow model augmented with human capital cannot account for the observed productivity increases. The model should be extended by allowing for inter-industry spillovers and scale economies at the aggregate level, as well as for scale economies associated with human capital at the sectoral level. The business cycle affects observed productivity changes in the short run and in the long run.     

A theory of return‐seeking firms

We introduce a theory of return‐seeking firms to study the differences between this and profit‐maximising models. A return‐seeking objective takes into account the opportunity cost of each additional resource input to a firm's production as being a potential capital input choice in an alternative project. We find that firm supply curves cease to exist in perfectly competitive markets, that supply curves may slope up as well as down, that economies of scale are necessary for any production to occur and that firms always produce on a decreasing portion of their cost curve.     

Resolving the impasse on hospital scale economics: a new approach

The existence of scale economies in hospitals in important for both public and managerial policy, yet production and cost function studies have found conflicting evidence. More recently, more sophisticated studies have typically found scale diseconomies, which is inconsistent with the views of industry participants and observers. In the early 1980s. California deregulated both private and public health insurance (Medical), which provides a natural laboratory for examining hospital efficiency. Using Stigler's original and multivariate survivor analysis, we resolve the conflict in favour of scale economies, and reconcile the controversy. The survivorship methodology in simple to apply, and a useful tool in conjunction with statistical cost and production studies.     

Public information as a deterrent to environmental infractions

This paper examines the effect of inflation on total factor productivity growth (TFP), using time-series data for every two digit Greek manufacturing industries. In order to do the above a translog flexible cost function is estimated and used to decompose TFP growth into scale economies, inflation and technical change. The advantage of estimating a very general and flexible cost function is that it allows us, for the first time, to examine empirically a large number of significant relationships between TFP growth and economies of scale, inflation and technical change. The main conclusion drawn from this analysis is that inflation reduces TFP growth in a way, which is sizeable. Furthermore, using standard causality test the direction of causality between inflation and TFP growth was tested at the manufacturing level.     

Estimation des Économies D'échelle et de gamme dans de petites coopératives de services financiers: le cas des caisses populaires acadiennes

This study uses accounting data stemming from 80 credit unions affiliated to the "Fédération des caisses populaires acadiennes" to estimate a multi-product translog cost function with the aim to test for the presence of scale and scope economies. The cost model relies on the production approach and the financial services are gathered in four categories of products. The model is completed by three inputs and one control variable, the latter being used to capture the heterogeneity of costs arising from the average wealth of membership. Since the estimated output elasticity of the total cost, 0.89, is statistically less than one, the models detect quite important scale economies. As to scope economies, they are present but the coefficients are weakly significant.     

规模经济、规模报酬与农业适度规模经营——基于我国粮食生产的实证研究

有关规模经营的问题一直是学术界和政府部门关注的热点问题之一。本文基于一个随机抽样的来自我国粮食主产区5省100个村庄1049个农户的实地调查数据,分别从投入产出和生产成本两个不同的角度全面考察了我国主要粮食作物品种生产规模经济的存在性。实证研究表明,在考虑土地细碎化的影响后,我国粮食生产总体上而言规模报酬不变。由此可见,如果政府单纯出于提高粮食产量的目的而大规模推行规模经营的政策显然是不可取的。同时发现,除粳稻外,扩大土地经营规模对单位产量生产总成本均有显著的负面影响。而在其他条件不变的情况下,成本降低与经济效益提高实质上是一致的。因此,农业经营规模的扩大有利于促进农民增收。     

Production and costs in the South African motor vehicle industry

This study investigates the existence of economies of scale in the South African motor vehicle industry as well as the substitution possibilities between input pairs and the direct and cross-price elasticities of demand for the various inputs. Because of data limitations, a translog cost function was estimated for only a three input model corresponding to a homogeneous production function involving capital, labour and intermediate goods. The issue of the existence of economies of scale in the South African motor vehicle industry is a particularly important one because South Africa once again is a member of GATT and a full participant in the international trade arena. The null hypothesis of constant returns to scale was rejected at the 0.5% level of significance. Thus, the results of this model are certainly consistent with economies of scale in the South African motor vehicle industry. The estimated direct price elasticities were consistent with the hypothesis that, during the past two decades, capital was the productive factor with the most elastic demand, and the estimated cross-elasticities between input pairs generally supported the hypothesis that all inputs are substitutes.     

Quality of service,efficiency and scale in network industries: an analysis of European electricity distribution

Quality of service (QoS) is of major economic significance in natural monopoly infrastructure industries. In this article, we present an efficiency analysis of electricity distribution networks from seven European countries. We apply the stochastic frontier analysis method to multi-output translog input distance function models to estimate cost efficiency and scale economies. We show that introducing the quality dimension into the analysis affects estimated efficiency significantly, especially that smaller utilities’ efficiency seems to decrease. Our results emphasize that QoS should be an integrated part of efficiency and economic analysis of regulated natural monopolies.     

Inefficiency in the Spanish Cooperative Banking Sector

This paper researches X-inefficiency and scale economies in Spanish cooperative banking between 1988 and 1996, using the stochastic cost frontier methodology. The Translog cost function, with three outputs and three inputs, is used to measure X-inefficiencies across time and size. During this period of time there is no important reduction in inefficiency levels, so deregulation and internationalization has little effect on the Spanish cooperative banking market. We can see that large cooperative banks are less inefficient than small ones, indicating that it would be convenient to increase the size of these kinds of banks in order to reduce inefficiencies in this sector. We also find scale economies during this period.