能源投入产出模型的选择：混合型还是价值型*

将投入产出技术用于能源问题的分析时，当前文献中有两类模型：混合型能源投入产出模型和价值型能源投入产出模型，其中价值型模型应用更为广泛。本文从能源平衡方程入手，对这两类模型的本质特点和差异进行了辨析，通过严格证明，得到如下结论：第一，在技术系数矩阵稳定的条件下，出现新的最终需求时，混合型能源投入产出模型仍然保证能源平衡方程的成立，具备一致性。第二，在技术系数矩阵和能源价格矩阵稳定的条件下，出现新的最终需求时，价值型能源投入产出模型无法保证能源平衡方程的成立。虽然价值型能源投入产出模型在初始构建过程中使用了能源平衡方程，但本质上是以价值单位的投入产出方程为根本出发点的，并没有考虑能源平衡方程在新的最终需求发生时是否仍然成立的问题，没有考虑能源使用的一致性。因此，一般情况下混合型能源投入产出模 型更为合理。第三，在某些特殊情况下这两类模型等价：（1）当最终需求结构保持不变，而只有最终需求总量发生变化时；（2）当能源在各使用部门之间的价格完全相同时。这些结论为实际应用中如何选择恰当的能源投入产出模型提供了依据。     

A note on the underestimation and overestimation in stochastic input-output models

Here we show that (i) the Leontief inverse (I – A)^-1 is underestimated when the elements of A, the fixed coefficient input–output matrix, are biproportionally stochastic, and (ii) the output vector in a non-linear input–output system is overestimated when the final demand vector is stochastic.     

Effects of changes in outputs and in prices on the economic system: an input–output analysis using the spectral theory of nonnegative matrices

The (physical) output adjustment model and the price adjustment model are presented. By the two models we quantitatively analyze the influences of alterations of one sectoral (physical) gross output and of one sectoral price on another sectoral (physical) gross output and on another sectoral price, respectively. Hence, a basic nature of the Ghosh inverse and a fundamental character of the monetary Leontief inverse are obtained. The proposition that a matrix of intermediate output (input) coefficients alters if the vector of output (price) adjustment coefficients is nontrivial holds, if and only if this matrix is C-irreducible. It is impossible that (i) the adaptation of output system causes all sectoral final output rates (or input multipliers) either to rise or to fall collectively, or (ii) an adjustment of price system causes all sectoral value-added rates (or output multipliers) either to increase or to decrease jointly. However, maybe (i) a change of output system enables some sectoral final output rates (or input multipliers) to rise (fall) and all others to be constant, and (ii) an alteration of price system enables some sectoral value-added rates (or output multipliers) to increase (decrease) and all others to be fixed, whose necessary and sufficient condition is that the matrix of intermediate output (or input) coefficients has at least one non-final (or non-initial) class. The proposition that the vector of final output rates (or input multipliers) changes if the vector of output adjustment coefficients is nontrivial is true, if and only if the matrix of intermediate output coefficients has only one final class. The proposition that the vector of value-added rates (or output multipliers) alters if the vector of price adjustment coefficients is nontrivial holds, if and only if the matrix of intermediate input coefficients has only one initial class. The necessary and sufficient conditions and the matching economic explanations for possibility and uniqueness of the economic adjustment that enables (i) all sectors to have a uniform final output rate (or input multiplier), and (ii) all sectors to have the same value-added rate (or output multiplier) are respectively given. I would like to thank an anonymous referee for helpful comments and suggestions.     

Information Technology and the World Growth Resurgence

Abstract. This paper analyzes the impact of investment in information technology (IT) on the recent resurgence of world economic growth. We describe the growth of the world economy, seven regions, and 14 major economies during the period 1989–2004. We allocate the growth of world output between input growth and productivity and find, surprisingly, that input growth greatly predominates! Moreover, differences in per capita output levels are explained by differences in per capita input, rather than variations in productivity. The contributions of IT investment have increased in all regions, but especially in industrialized economies and Developing Asia.     

A sensitivity analysis in a nonlinear Leontief model

Conclusion We have shown that in a nonlinear Leontief model where non-decreasing returns are allowed for, if some elements of the final demand vector are increased, then each activity level (i. e., gross output) goes up or remain unchanged and the maximum rate of increase in activity levels must be realized among those sectors for which the final demand is raised. It is also shown that this maximum rate of increase in activity levels is not greater than the maximum rate of increase in the final demands.It should be noted that we do not require the indecomposability ofA (x). WhenA (x) is indecomposable, the final demand vector can be allowed to be non-zero nonnegative, and we can derive a set of propositions similar to those presented in this article.     

Malmquist and Törnqvist productivity indexes: returns to scale and technical progress with imperfect competition

Caves, Christensen and Diewert proposed a method for estimating a theoretical productivity index for a firm using Törnqvist input and output indexes, augmented by exogenous estimates of local returns to scale. However, in order to implement their method, they assumed that the firm maximized revenue in each period, conditional on the observed input vector in each period, taking output prices as fixed. This assumption is not warranted when there are increasing returns to scale. Thus in the present paper, it is assumed that the firm solves a monopolistic profit maximization problem when there are increasing returns to scale and the results of Caves, Christensen and Diewert are modified in accordance with this assumption.     

Does input sector liberalization promote quality innovation and exports?

This paper examines the relationship between input sector liberalization and product quality innovation and export orientation by a LDC firm given the complementarity between high input quality and high product quality. We show that input sector liberalization per se may not induce quality innovation and outward orientation. In fact, in some situations, ceteris paribus input sector liberalization may increase the odds in favour of low-quality production. We show that total output sector liberalization, or surprisingly, a suitable degree of output sector protection is needed to be combined with input sector liberalization so that quality innovation is induced.     

Determining output shadow prices for a cost-constrained technology

We develop a method for computing output shadow prices when total cost and input prices are exogenous, using the indirect output distance function of Shephard (1974). We show that indirect distance function shadow price imputations for output prices are the same to a proportional constant as marginal cost imputations. We motivate our results by relating them to the problem of valuing the output of nonprofit institutions, to some measurement issues for noncompetitive industries, and to a problem of imputing sales of the commercial banking industry to consuming sectors of the economy in the national income accounts.Thanks are due to a very informed and helpful referee.Rolf Färe supported by IHE, Lund, Sweden.     

On the dual nature of weak property rights

In the natural-resource literature, conventional wisdom holds that weak property rights will cause a resource to be over-exploited. This is because weak property rights are typically perceived as a problem of input exclusion – or theft of un-extracted resources. We present evidence to the effect that weak property rights often take the form of contestable outputs – or output theft – and that this has an impact on resource use. We propose a model of resource use under generally weak property rights – or weak state presence – when resource users face the dual problem of input exclusion and output appropriation. We show that introducing the possibility that outputs be contested acts as an output tax, with the added twist that resource users effectively determine the tax level. This tax has a depressive effect on input use. Whether the resource is under- or over-exploited depends on the relative severity of output appropriation and input exclusion problems. Increasing enforcement measures against theft may lead to severe resource overuse. Efficiency considerations require to account not only for direct resource input use, but also for thieves’ efforts and gains as well as the costs of enforcement against theft and trespass.     

On the dual nature of weak property rights

In the natural-resource literature, conventional wisdom holds that weak property rights will cause a resource to be over-exploited. This is because weak property rights are typically perceived as a problem of input exclusion – or theft of un-extracted resources. We present evidence to the effect that weak property rights often take the form of contestable outputs – or output theft – and that this has an impact on resource use. We propose a model of resource use under generally weak property rights – or weak state presence – when resource users face the dual problem of input exclusion and output appropriation. We show that introducing the possibility that outputs be contested acts as an output tax, with the added twist that resource users effectively determine the tax level. This tax has a depressive effect on input use. Whether the resource is under- or over-exploited depends on the relative severity of output appropriation and input exclusion problems. Increasing enforcement measures against theft may lead to severe resource overuse. Efficiency considerations require to account not only for direct resource input use, but also for thieves’ efforts and gains as well as the costs of enforcement against theft and trespass.     

An Eclectic Approach to Estimating U.S. Potential GDP

Rennison (Comparing alternative output gap estimations: a Monte Carlo approach, 2003) has provided simulation-based evidence showing that the joint use of extended multivariate filters and structural vector autoregression models is optimal for estimating potential output. We use this approach to estimate the two components of potential GDP: the full-employment labour input and trend labour productivity. This decomposition is useful for identifying sources of fluctuations in potential output. It reveals, for example, that the vigorous growth rate of U.S. potential GDP recorded during the second half of the 1990s is attributable to a fall in the structural rate of unemployment and a marked upswing in trend productivity growth.     

INPUT/OUTPUT ANALYSIS—AN APPRAISAL IN THE CONTEXT OF AS YET AN UNFINISHED EXPERIMENT IN KENYA

The paper discusses the relevance of input/output tables as a tool for economic analysis and planning in developing countries. It contends that this is so only to the extent that the input out-put tables enable consistency of production accounts to be verified while providing a suitable basis for macro projections at the same time. As a by-product, such input out put tables, the paper adds, also provide a convenient framework for estimating the needs for extensions and improvements in basic statistics.
All these requirements, it is stated, can be fulfilled by a relatively aggregated format of an input/output table—which some of the developing countries are in a position to compile. However, the paper states, it is feared that the case for input/output analysis is not based on these requirements. The main force of arguments is in fact based on the uses of input/output tables for more detailed sectoral analysis and projections. The current state of basic statistics on some key sectors, it is stated, is not sufficiently sound to yield an end-product which is reliable. In the case of sectors where this is so the input/output analysis is not relevant either because of concentration of production in a relatively few establishments or because of limited amount of inter-sectoral interaction. It is further felt that if such arguments were to be accepted by developing countries the result would be a distorted disposition of statistical resources. Immediate needs of the developing countries require concentration of effort in development of more reliable and relevant series on basic statistics.     

Tax on emissions or subsidy to renewables? Evaluating the effects on the economy and on the environment

We examine the relationship between the economy and the environment in a model where production uses nonpolluting renewable and polluting nonrenewable resources. There is policy intervention through a tax on emissions and a subsidy to renewables extraction/production. Results show that both instruments are able to decrease emissions intensity of output. However, when used together, the desired effect is higher. Empirically it is shown that the subsidy achieves higher renewables intensity and although present emissions per output are similar for both instruments, the subsidy achieves lower future levels.     

Do we need a global VAR model to forecast inflation and output in South Africa?

This study determines whether the global vector autoregressive (GVAR) approach provides better forecasts of key South African variables than a vector error correction model (VECM) and a Bayesian vector autoregressive (BVAR) model augmented with foreign variables. The article considers both a small GVAR model and a large GVAR model in determining the most appropriate model for forecasting South African variables. We compare the recursive out-of-sample forecasts for South African GDP and inflation from six types of models: a general 33 country (large) GVAR, a customized small GVAR for South Africa, a VECM for South Africa with weakly exogenous foreign variables, a BVAR model, autoregressive (AR) models and random walk models. The results show that the forecast performance of the large GVAR is generally superior to the performance of the customized small GVAR for South Africa. The forecasts of both the GVAR models tend to be better than the forecasts of the augmented VECM, especially at longer forecast horizons. Importantly, however, on average, the BVAR model performs the best when it comes to forecasting output, while the AR(1) model outperforms all the other models in predicting inflation. We also conduct ex ante forecasts from the BVAR and AR(1) models over 2010:Q1–2013:Q4 to highlight their ability to track turning points in output and inflation, respectively.     

Economic inefficiency in a revenue setting: the Norwegian whitefish fishery

The main focus in the inefficiency literature is on suboptimal input use and how this causes increased costs, due to technical and allocative inefficiency. Production or cost functions are then typically used to describe the underlying technology of the firm. The possible revenue loss, due to lower than maximum production levels and suboptimal output mix, has received substantially less attention. By using a revenue function to measure inefficiency, the focus, model and estimation technique presented in this article differ from those of previous studies. A shadow revenue model is used to decompose revenue inefficiency into its technical and allocative components, in which the allocative inefficiency is due to a suboptimal output mix. The approach is illustrated using panel data of Norwegian whitefish trawlers. The results reveal large inefficiencies, with respect to output levels as well as output mix, indicating that this can be an important part of the picture when investigating economic inefficiency. To identify the determinants of revenue inefficiency, we conduct a second-step regression, in which technical and allocative inefficiency is regressed upon a set of explanatory variables. The inefficiencies are partly explained by the management system and fleet structure.     

The Labour Input Response to Permanent Changes in Output: An Errors-in-Variables Analysis Based on Panel Data

Using panel data for Norwegian manufacturing, we revisit 'the increasing returns to scale puzzle' for labour inputs. We consider the response of the input of white-collar workers, blue-collar workers, and blue-collar worker hours to permanent changes in output. Permanent and temporary changes in output are treated as latent variables. We compare OLS, IV, and GMM estimates of the response elasticities and conclude that the distinction between permanent and temporary changes is essential. Our GMM estimates suggest that the 'increasing returns to scale puzzle' remains for all measures of the labour input also when we consider their response to permanent changes in output. For materials, the output response indicates approximately constant returns to scale. This suggests non-homotheticity of the production technology.
JEL classification : C 23; J 23     

SO2 policy and input substitution under spatial monopoly

Following the U.S. Clean Air Act Amendments of 1990, electric utilities dramatically increased their utilization of low-sulfur coal from the Powder River Basin (PRB). Recent studies indicate that railroads hauling PRB coal exercise a substantial degree of market power and that relative price changes in the mining and transportation sectors were contributing factors to the observed pattern of input substitution. This paper asks the related question: To what extent does more stringent SO₂ policy stimulate input substitution from high-sulfur coal to low-sulfur coal when railroads hauling low-sulfur coal exercise spatial monopoly power? The question underpins the effectiveness of incentive-based environmental policies given the essential role of market performance in input, output, and abatement markets in determining the social cost of regulation. Our analysis indicates that environmental regulation leads to negligible input substitution effects when clean and dirty inputs are highly substitutable and the clean input market is mediated by a spatial monopolist.     

Information Technology and the World Economy*

This paper addresses the impact of investment in information technology (IT) on the recent resurgence of world economic growth. We describe the growth of the world economy, seven regions and 14 major economies during the period 1989–2003. We allocate the growth of world output between input growth and productivity and find, surprisingly, that input growth greatly predominates! The contributions of IT investment have increased in all regions, but especially in industrialized economies and Developing Asia. Differences in per capita output are explained by differences in per capita input, rather than by variations in productivity.     

Applying physical input–output analysis to estimate land appropriation (ecological footprints) of international trade activities

In the last few years some studies have been presented, which link land use accounting and input–output analysis (based on monetary input–output tables (MIOTs)) for the calculation of direct and indirect land appropriation of production and consumption activities. The compilation of the first comprehensive physical input–output tables (PIOTs) for some western European countries in the 1990s opened new possibilities for linking physical accounting and input–output analysis. Using a physical multiplier for this kind of calculation is more appropriate, as the most land intensive sectors are also the sectors with the highest amounts of material flows. Physical input–output analysis illustrates land appropriation in relation to material flows of each of the sectors, which is more appropriate from the point of view of environmental pressures than land appropriation in relation to monetary flows of a MIOT. Physical input–output analysis has so far not been applied for any land-related studies. Based on a physical input–output model of the EU-15, physical input–output analysis is applied in this paper, in order to calculate direct and indirect land requirements for the production of exports from EU-15 to the rest of the world.     

Regulation of non-marketed outputs and substitutable inputs

We study the regulation of a monopolistic firm that provides a non-marketed output based on multiple substitutable inputs. The regulator is able to observe the effectiveness of the provision, but faces information asymmetries with respect to the efficiency of the firm’s activities. Specifically, we consider a setting where one input and the output are observable, while another input and related costs are not. Multi-dimensional information asymmetries are introduced by discrete distributions for the functional form of the marginal rate of substitution between the inputs as well as for the input costs. For this novel setting, we investigate the theoretically optimal Bayesian regulation mechanism. We find that the first-best solution cannot be obtained in case of shadow costs of public funding. The second-best solution implies separation of the most efficient type with first-best input levels, and upwards distorted (potentially bunched) observable input levels for all other types. Moreover, we compare these results to a simpler non-Bayesian approach, i.e., a single pooling contract, and hence, bridge the gap between the academic discussion and regulatory practice. In a numerical simulation, we identify certain conditions in which a single contract non-Bayesian regulation can indeed get close to the second-best solution of the Bayesian menu of contracts regulation.