Elasticities of substitution between energy and non-energy inputs in China power sector

Energy substitution is considered as a key process to determine the economic outcome of decisions related to energy and environment policies. The sign and magnitude of energy substitution have been widely debated, and the results are divergent. This paper applies the translog cost function specification to estimate factor share equations based on the energy and non-energy inputs, whose coefficients are used to observe the energy degree of substitutability with the other traditional inputs for power industry in China. The results suggest that energy is the least price sensitive among three production factors. The four types of input elasticities (cross-price, Morishima's, Allen and McFadden's shadow elasticity of substitution) show that there are substantial substitution possibilities between energy and capital, while energy and labor have weak substitution. The findings imply that for power industry in China, to reduce energy consumption, more capital should be invested. With respect to labor, though, it appears less energy-saving potential.     

Substitution between energy,capital and labour within industrial companies: A micro panel data analysis

Based on micro panel data for industrial companies, we estimate factor demand models with electricity, other energy, labour and machine capital as flexible inputs using both the translog and the linear logit specification. As opposed to the few previous micro (cross-section) data studies we find that both electricity and other energy are complements with capital. Substitution between electricity and other energy is limited. The own-price elasticity for electricity is −0.21 in the translog model and −0.19 in the linear logit model. The corresponding own-price elasticities are −0.45 and −0.23 for other energy, −0.08 and −0.05 for labour and −0.45 and −0.34 for capital.     

FDI,Industry Heterogeneity and Employment Elasticity in China

We investigate the different impacts of foreign direct investment (FDI) on employment elasticity with China's firm level data from 1998 to 2007. Our analysis shows that the inclusion of FDI does significantly affect firms' employment elasticity when facing wage, capital and output shocks. These effects vary dramatically across industries with different factor intensities and export status. Specifically, we find that non‐exporters with FDI tend to increase employment elasticity more than exporters when wage, capital input or output changes. However, FDI firms that are engaging in labor‐intensive production tend to have larger output and capital input elasticity of employment while smaller wage elasticity of employment. Our findings help to explain the contradicting results in existing literature and provide important references for China's policy makers to design proper industry policies towards FDI.     

中国钢铁行业能源内部的替代弹性分析

本文运用中国钢铁行业滞后一期的产出代替劳动和资本变量,把钢铁行业能源投入要素分解为煤炭、石油、天然气和电力的投入,建立了一个超越对数生产函数模型,用岭回归估算了中国钢铁行业各能源品种投入要素的产出弹性、替代弹性。结果表明:煤炭与石油、煤炭与天然气、煤炭与电力的替代弹性在1左右,中国钢铁行业可通过用石油、天然气、电力替代煤炭来实现其行业全要素能源效率的提高。     

Deregulation and Subequilibrium in the Australian Dairy Processing Industry

The Australian dairy processing industry is currently undergoing a program of substantial regulatory reform. In this paper we assess the impact of this deregulation on the production and cost systems of the industry. This is undertaken using a translog restricted cost function, for the period 1969 to 1996, with labour, milk and energy as the variable inputs and capital as the one fixed input. We find that this industry has undergone significant changes in terms of factor demand and cost structures associated with the introduction of new technology.     

Valuing water for Chinese industries: a marginal productivity analysis

A marginal productivity approach is developed for valuing industrial use of water and applied using data from Chinese industrial firms, where water, as well as capital, labour and raw materials, are treated as inputs to a production function. Models on price elasticity of water demand associated with the marginal productivity approach are also developed and estimated for different Chinese industrial sectors.     

An investigation of issues relating to where energy should enter the production function

This paper examines the impact of imposing different separability assumptions in the specifications of the standard hierarchical KLEM production function in a computable general equilibrium (CGE) model. The appropriate means of introducing energy to production functions has been a source of debate for a number of years. However, while modellers often subject results to parametric sensitivy analysis regarding the values associated with elasticities of substitution between inputs, it is rarely the case that the structure of the production function is subjected to testing. However, the chosen structure reflects the modeller's view about elasticity between different inputs and will have implications for model results wherever there are changes in relative prices. We illustrate our argument by introducing a simple demand shock to a CGE model of the Scottish economy (targeted at the energy supply sector) under different assumptions regarding the structure of the KLEM production function and separability assumptions therein.     

New measures of factor productivity in Australia: a Sato approach

This article derives new results of the Elasticity of Substitution (ES) between capital and labour and factor productivity for Australia, an economy which experienced major economic reform that substantially increased the flexibility of its labour, product and capital markets throughout the 1980s and 1990s. It employs a Sato production function specification which has unique properties that enable the estimation of capital–labour substitution elasticity and changing marginal productivities through time. These estimates reveal that the substitution elasticity and labour productivity in Australia rose significantly from the mid-1960s and remained elevated during the economic reform period. A novel contribution of this article is the depiction of Australia's production isoquants to convey how combining labour and capital to produce real Gross Domestic Product (GDP) has changed over recent decades.     

Robots and humans – complements or substitutes?

The effect of the spread of Artificial Intelligence (AI) on wages depends on both the form of aggregate production relationships and the elasticity of substitution between human and robotic labor. With a conventional production function involving labor, robots, and ordinary capital, an increase in robotic labor can have either a positive or a negative effect on wages. Alternatively, it is possible to estimate the aggregate production relationship without measuring capital or other fixed factors explicitly, using the procedure developed by Houthakker in the 1950s. Houthakker's method is based on the probability distribution of the productivity of the variable factor. Fitting different distributions to cross-sectional data on U.S. productivity, it is shown that if the elasticity of substitution between human and robotic labor is greater than about 1.9, the burgeoning of AI technologies will cause a decline in aggregate wages, other things equal. For the manufacturing sector, an even smaller human-robot elasticity of substitution is likely to result in declining wages of industrial workers as robots proliferate.     

Institutions and Cultural Heterogeneity as Determinants of National Income: A Random‐coefficients Stochastic Frontier Model

Previous research on total factor productivity (TFP) shows that cross‐country differences in income cannot be fully explained by stocks of capital (K), labor (L) and human capital (E). In addition, the omission of major production inputs or the use of proxies to estimate unobservable inputs leads to biased estimation results. This study addresses the above issues by employing a novel econometric approach and provides empirical evidence that a fixed production input, and therefore a country's income, is positively correlated with the existence of British‐style institutions and negatively correlated with cultural heterogeneity and Spanish‐style institutions. Our methodology is twofold. First, using data for 62 countries from 1980 to 2004, we regressed a random‐coefficients stochastic production frontier that allows estimating a fixed unobservable production input without using proxies. Second, the estimated fixed production input is shown to be related to colonial institutions and cultural heterogeneity by means of ordinary least squares and feasible generalized least squares regressions.     

CAN A PERPETUAL INVENTORY CAPITAL STOCK BE USED FOR PRODUCTION FUNCTION PARAMETER ESTIMATION?

Due to lack of data on capital disappearance, we simply do not know the covariance of the capital stock with factor inputs and prices well enough to estimate production function parameters. Since replacement rates are rational economic decisions, the errors in a perpetual inventory capital stock vary systematically with the business cycle and such economic variables as rates of technical progress and interest rates. This introduces systematic errors into calculated parameters of production functions and rates of technical progress.     

Estimating productivity and returns to scale in the US textile industry

In light of the textile industry's growing foreign competition, trade deficit and job loss, we estimate its productivity and efficiency for the period 1975–93 utilizing a variable elasticity of substitution production function. The results indicate that, despite job losses, the industry adjusted by increasing labor productivity and maintaining fairly stable profits. This performance does not warrant protectionist policies. However, with an elasticity of factor substitution less than one and decreasing, the impact of factor price increases could result in higher apparel prices and preference for cheaper imports. Furthermore, with an elasticity of capital output rapidly decreasing, significant technological improvements will be required to improve competitiveness since textile production is capital intensive. Recently revised rules on trade liberalization could increase competition in the industry. First version received: October 1999/Final version received: August 2000     

The socialization of commodities

I develop a model in which income, both in its own right and as a proxy for other socioeconomic characteristics, is an input in the production function for local public services (the most obvious example is education, though there are other applications as well). The comparative statics results from this model yield the following results. (1) The observed ‘flypaper effect’ (the tendency for local government to spend a higher fraction of unrestricted grants than income of residents) may be due, at least in part, to the fact that own income (but not grants) is a substitute for purchased inputs in the technology. Hence, the propensity to spend on purchased inputs out of own income is lower than out of grants. (2) The income elasticity of demand for public-sector output may be higher than the observed income elasticity of demand for purchased inputs. (3) Equalization of educational opportunity via wealth neutrality (as suggested by Feldstein) requires major changes in education finance once we recognice the distinction between purchased inputs and output.     

A ray of hope? Another look at the Italian textile industry

Despite increasing competition from newly industrializing countries, Italy’s textile industry has continued to be an important contributor to the domestic economy. Many observers attribute this resilience to the industry’s focus on quality. Here, we take note of that view but also examine production and cost relationships to explore the existence of returns to scale and the interrelationships among inputs to gain additional insights about the future prospects for this industry. The findings are consistent with constant returns to scale and a substitute relationship between all input pairs except for domestic capital and foreign intermediate goods. The results also suggest some increasing flexibility in the labor market, perhaps including informal sector arrangements, greater responsiveness of labor demand to the price of capital, and more international production sharing arrangements. An increasing elasticity over time of the demands for domestic capital and domestic intermediate goods with respect to the price of foreign substitutes was also observed. Since further economies of scale do not exist, maintaining the Italian textile industry’s reputation for outstanding quality will likely be an important survival strategy for some products. For others, production sharing may be necessary to maintain international competitiveness.     

劳动力就业、固定资产投入与中国工业增长——基于柯布-道格拉斯生产函数的判断

对经济增长源泉进行判断是经济增长方式转型的前提。利用2009年中国分省区工业经济增长的数据,基于柯布-道格拉斯生产函数对工业增长的动力源进行判断,结果表明,中国经济增长主要依靠固定资本和劳动的投入,二者对经济增长的解释度为98%,说明我国的经济增长方式仍是外延式增长;同时,资本产出和劳动产出弹性之和为1·2,说明中国工业增长具有规模报酬递增的性质。因此,通过规模扩大促进经济增长仍应为当前经济增长方式之一,但更重要的是,在经济增长中要重视劳动的产出弹性增加,即人力资本是经济转型和增长的未来持续动力源。     

The relationship between regional value-added and public capital in Finland: what do the new panel econometric techniques tell us?

This article applies recently developed panel estimation techniques to estimate the elasticity of private production with respect to public capital in a regional framework. We use the widely applied production function approach and regional data from Finland for the 1975–2004 period. In contrast to many previous studies about the productivity of public capital, we focus especially on panel estimation techniques, showing that the results from commonly applied fixed effects OLS are probably biased and sensitive to a change of estimator. To get more reliable results, we use the panel DOLS and panel DSUR estimators. The results suggest that public capital has had a positive impact on private production.     

Factor-biased public capital and private capital crowding out

This paper studies the dynamic effects of public investment on private capital accumulation in a general equilibrium macroeconomic model of a small open economy with factor-biased public capital. I show that public investment induces rather complex private capital dynamics—falling in the short and in the long run, but potentially increasing along transition—if public capital augments private capital and private inputs are gross complements in production. Whether private investment is crowded in or out during transition critically depends on parameters that are empirically hard to measure, such as the labor supply elasticity and the elasticity of substitution between private inputs—a small increase in the latter from 0.5 to 0.6, for instance, turns a totally negative transitional effect into a predominantly positive one. These results help rationalize the lack of empirical consensus on the relationship between public and private investment.     

Measures of capacity utilization and its determinants: a study of Indian manufacturing

We estimate Capacity Utilization (CU) rates in for selected industries in Indian manufacturing for the 20-year period 1976–1996. We estimate a generalized Leontief variable cost function, with capital as a quasi fixed input, to derive our CU measures, using error-component techniques. We note substantial variations in CU both across industries and over time. In general, we find that CU rates were higher in the earlier time-period, dropped in the mid-80s and started rising again in the early 90s. CU rates in our analysis are sensitive to input prices with the sole exception of the price of labor. We also confirm the standard result that variations in demand are a significant driving force for variations in CU. We find that CU is positively related to the magnitude of labor intensity in production. This holds for both between-industries and within-industries. Empirical results also indicate that traditional measures of CU such as minimum capital output ratio and peak-to-peak are not appropriate proxies for the short-run decision making of the firm regarding CU. As compared to the estimates derived from the choice-theoretic framework, we find that the traditional measures exhibit substantial bias.     

The CES‐‐Translog Production Function, Returns to Scale and AES

The translog functional form imposes no a priori restrictions on the substitution possibilities between the factor inputs, by relaxing the assumption of strong separability, and the CES–translog cost function specification allows for testing homothetic technology with Hicks‐neutral technical change. In this paper an n ‐factor CES–translog production function is presented which develops the parameters to directly assess scale effects from those due to technology in the production structure. In addition, by applying Shephard's lemma it was possible to derive the input demand functions, as well as the partial elasticities of substitution and the cross‐partial price elasticities of demand for a generalized CES–translog production structure.     

Who provides the capital for Chinese growth: the public or the private sector?

We focus on the role of the government in the provision of investment in China, through the medium of a Dynamic Stochastic General Equilibrium model of the economy in which the form of the production function reflects this governmental role. Using indirect inference, we estimate and test for the elasticity of substitution between government and nongovernment capital in both Constant Elasticity of Substitution (CES) and Cobb–Douglas technologies. The results underscore the strong substitution relationship between government and nongovernment capital from 1949, supporting CES rather than the Cobb–Douglas technology. They also show that the orientation of public investment changed after the start of the ‘Socialist Market Economy’ in 1992: government capital became more complementary to nongovernment capital as it focused more on infrastructure and withdrew from industrial production, intervening only in times of crisis, for stabilization purposes, indirectly via the state banks.