Estimating the economic costs of electricity deficit using input–output analysis: the case of Brazil

The objective of this article is to present a methodology to estimate the marginal cost of electric energy deficit in the long-term using input–output (I–O) analysis. We obtain a deficit marginal cost (DMC) curve that is not limited to a small number of levels, such as the curve used currently in Brazil, which is limited to four levels. The marginal cost of deficit is an important exogenous parameter used in the model’s chain to calculate the operation’s marginal cost and short-term market pricing. The electric energy deficit is a temporary lack of continuity in meeting demand, which is usually predictable and involves prior notice to the consumer. The cause of this deficit may be a lack of investment and/or low water inflows that impact the production of hydroelectric power plants. In this study, the marginal cost of the deficit is obtained from restrictions on the provision of electricity for productive sectors and by calculating the corresponding impact on the gross domestic product. The proposed methodology can be used with data from the I–O matrix of any country to estimate its marginal cost of electric energy deficit.     

A scenario analysis of China's land use and land cover change: incorporating biophysical information into input–output modeling

This paper assesses how the widely perceived changes in the economy and society of China will affect future land use at the regional level. It also shows the consequences of these changes on future inter-regional and international trade flows of land-based products. In order to conduct an integrated and consistent assessment, we develop a mixed input–output model characterized by strong biophysical linkages and the incorporation of supply-constraints to the major land-consuming sectors. The spatial aspect of the assessment is provided by a number of fairly large and detailed geographical databases implemented in a geographical information system, including biophysical attributes of land and demographic distribution.     

A new approach for the input–output price model

This paper proposes a new approach to measure the impact of a sector's price shock on price indices. It works based on table adjustments to trace the effects of any initial price shock through an iteration process. It has the same accuracy and all the capabilities of the popular Standard Leontief Price (SLP) model. A distinct advantage of the new approach compared with the SLP model, however, is its ability to measure the impact of the initial price shock on all value-added components if and when it is required. This capability enables researchers to use interindustry price analysis to tackle problems of a more real-world nature. Other advantages of this approach are its simple computational implementation, especially relevant for larger size interindustry tables, the unified way to deal with all kind of different price issues, and the yielding of an adjusted interindustry table reflecting all endogenous price adjustments in response to the initial price shock.     

Measuring US sectoral shocks in the world input–output network

I measure the importance of sectoral shocks in US aggregate output by using the World Input–Output Table (WIOT). The WIOT allows me to correct potential sub-graph bias in previous literature, caused by using only the US industrial production input–output table. I report results from three closely related models to show how sensitive the analyses are to different specifications. The estimates vary from 10% to 45%.     

Sensitivity analysis of environmentally extended input–output models as a tool for building scenarios of sustainable development

There is an urgent need to develop scenarios and roadmaps for a more sustainable future than where business-as-usual is heading. This paper addresses the use of sensitivity analysis for analyzing environmentally extended input–output (EEIO) models in order to develop cost-effective and comprehensive scenario building. Main components of resource use, emission intensity and final demand are extracted from the complete network of interactions contained in the input–output tables of the national accounts. The method is demonstrated using a detailed Finnish EEIO-model (ENVIMAT). Based on the results, only 0.3% of the 23 103 interactions were found to have a significant effect on Finnish greenhouse gas emissions. The same parameters were also relevant for waste generation and land use, but not for gross domestic product. The identified main components were tested by structural decomposition. Actual development of greenhouse gas emissions from 2002 to 2005 was compared to that predicted by updating only the identified components. Based on the results, the development of greenhouse gas emissions could be predicted with high accuracy using only the identified main components. Generalizing the results, sensitivity analysis can assist in identifying the main components to be included in future scenarios for sustainable development.     

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.     

An operational,nonlinear input–output system

We develop a scale-dependent nonlinear input–output model which is a practical alternative to the conventional linear counterpart. The model contemplates the possibility of different assumptions on returns to scale and is calibrated in a simple manner that closely resembles the usual technical coefficient calibration procedure. Multiplier calculations under this nonlinear version offer appropriate interval estimates that provide information on the effectiveness and variability of demand-driven induced changes in equilibrium magnitudes. In addition, and unlike linear multipliers, the nonlinear model allows us to distinguish between physical and cost effects, the reason being that the traditional dichotomy between the price and quantity equations of linear models no longer holds. We perform an empirical implementation of the nonlinear model using recent interindustry data for Brazil, China and United States. When evaluating the robustness of the derived marginal output multipliers and the induced cost effects under the nonlinear approach, the results indicate that marginal indicators in physical terms can be perfectly used to infer average impacts; this is not the case, however, for the derived cost effects where average measures are seen to be more adequate. At the computational level, the analysis proves the operational applicability of the nonlinear system while at the methodological level shows that scale effects are relevant in determining sectoral multipliers.     

An alternative approach to the construction of multi-regional input–output tables of the Czech Republic: application of the CHARM method

Empirica - The main scope of the paper is to review the construction method of (multi-)regional input–output tables (RIOTs) in the Czech Republic at the NUTS 3 regional level. We compare the...     

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.     

Price–value deviations: further evidence from input–output data of Japan

This paper subjects to empirical testing the labour theory of value using input–output data from the economy of Japan for the years 1970, 1975, 1980, 1985 and 1990. The results of the analysis show that labour values and prices of production are extremely good approximations to market prices. In fact, the proximity of prices of production to market prices is closer than that of labour values, a result which suggests that prices of production constitute more concrete centres of gravitation for market prices. Furthermore, we find that prices of production change as a result of variations in income distribution more often than not in a monotonic way and that in fewer cases they display curvatures, which may even reverse the order between prices of production and values.     

Estimation errors in input–output tables and prediction errors in computable general equilibrium analysis

We used 1995–2000–2005 linked input–output (IO) tables for Japan to examine estimation errors of updated IO tables and the resulting prediction errors in computable general equilibrium (CGE) analysis developed with updated IO tables. As we usually have no true IO tables for the target year and therefore need to estimate them, we cannot evaluate estimation errors of updated IO tables without comparing the updated ones with the true ones. However, using the linked IO tables covering three different years enables us to make this comparison. Our experiments showed that IO tables estimated with more detailed and recent data contained smaller estimation errors and led to smaller quantitative prediction errors in CGE analysis. Despite the quantitative prediction errors, prediction was found to be qualitatively correct. As for the performance of updating techniques of IO tables, a cross-entropy method often outperformed a least-squares method in IO estimation with only aggregate data for the target year but did not necessarily outperform the least-squares method in CGE prediction.     

Grey analysis of the relationship between grain output and major input factor in Guizhou Province：1983-2005

Because conditions for the grain production are not favorable and the input in the production factors ofmodern agriculture is not sufficient, the grain supply has been less than the demand for a long time. By means of greycorrelation analysis, this paper deals with the correlation situation among such input factors as the grain sown area, thetotal power of agricultural machinery, the fertilizer utilization volume, the actual irrigation area, the damage area, thenumber of farming labor force, in order to understand the major restricting and driving forces that have affected thegrain output in the recent 23 years. The analysis shows that the grain sown area and fertilizer utilization volume are thetwo most important leading factors that affect grain production in Guizhou Province, while the damage area and the totalpower of the farming-used machines are the following factors. Fertilizer utilization volume and the actual agriculturalmachinery and irrigation area are the two increasingly influential factors that affect grain production. The influence of thefarming labor force upon grain production became less strong. The main measures to increase grain production outputin Guizhou Province are to stabilize the arable land, increase the actual irrigation area, expedite the transfer of thefarming labor force and increase the input of modern agriculture.     

Do inter-sectoral flows of services matter for productivity growth? an input/output analysis of OECD countries

This article investigates the impact of technology-intensive services sectors on direct and indirect labour coefficients in a sample of OECD countries. We find that both domestic and imported services contribute to increase productivity. We also find that different service industries (transport, communication, financial, and business services) have a different impact on technological change in non-service sectors classified according to the Pavitt taxonomy.     

Modeling input–output impacts with substitutions in the household sector: A numerical example

Although there have been many elaborations of the basic input–output approach, including multi-regional models, dynamic models, models with variable coefficients, supply-side models, etc., these approaches all have the same limitation. The fixed-coefficients production function assumptions ignore substitutions in response to price changes that can be expected to accompany most shocks— skipping over the heart and soul of market economics. This research note suggests a simple approach to estimating new technical coefficients matrices after a shock so that the consequences of short-term substitution effects can be studied. Given a reduction in income (as reflected in the value added row), households are likely to make substitutions, reducing their final demand by less than the application of base-year I–O coefficients would indicate. But if ex post changed income and consumption can be observed, the application of RAS procedures can generate an appropriately modified A matrix. The resulting set of interdependent substitutions that occurred can be identified. Due to some well known limits in applying the traditional RAS approach, we reformatted it and suggest a new economic model that can link coefficient adjustments to degrees of a priori substitutability and complementarity. Based on this resolution, we look forward to detailed studies of specific coefficients and how they evolve over the short term.     

Simplifying numerical analyses of Hamilton–Jacobi–Bellman equations

We introduce a simple method for computing value functions. The method is demonstrated by solving for transitional dynamics in the Uzawa and Lucas endogenous growth model. We use the value function approach to solve both the social planner??s optimization problem in the centralized economy and the representative agent??s optimization problem in the decentralized economy. The complexity of the Hamilton?CJacobi?CBellman equations is significantly reduced to an initial value problem for one ordinary differential equation. This approach allows us to find the optimal controls for the non-concave Hamiltonian in the centralized case and to identify the symmetric equilibrium in the decentralized case.     

Input–output analysis of virtual water transfers: Case study of California and Illinois

Increasing pressures on water resources in the two economically important states of California (CA) and Illinois (IL) have created a need for critical information related to sustainable water use and management. This paper applies input–output (IO) analysis to evaluate water use and quantify virtual water transfers involving the two states. Results show that aquaculture requires the largest input of direct water per unit of economic output, followed by crops, power generation, livestock, mining, services, domestic, and industry. Low water use intensity industry and services sectors contributed the largest proportions of value added and employee compensation. In 2008, the two states were net virtual exporters, with CA exporting 1.3 times the net export volume of IL. More than 72% of virtual water exports for each state originated from the high total water use intensity but low value added crops sector, with irrigation and rainfall contributing 99% and 97% of the crop-related exports for CA and IL, respectively. Virtual water export volumes were 59% for CA and 71% for IL when compared to actual water use. These results highlight the need to consider water use efficiency and opportunity cost when managing water under scarcity conditions.     

Competitive prices for a stochastic input–output model with infinite time horizon

Consider a one-sector stochastic input–output model with infinite time horizon. The technology in each time period exhibits constant returns to scale on positive linear combinations of a finite number of basic input–output pairs. Furthermore, perfect information is available as a filtration generated by finite partitions of the state space. By definition, competitive prices require expected profit maximization in every time period. The Riesz representation of a sequence of competitive price functionals yields a state-price deflator with a supermartingale property. We show that there exists a competitive price system for some feasible program if and only if there is No Free Production (NFP). Furthermore, there exists a competitive price system for a particular program if and only if if NFP holds and the program is short-run efficient. This model includes a securities market model with or without convex cone trading constraints as a special case. Under these circumstances, NFP reduces to No Arbitrage and we recover a version of the fundamental theorem of asset pricing. The author expresses gratitude for the advice of two anonymous referees, one who pointed out the simple way to prove the key lemma and the other who helped integrate the conclusions into the existent literature.     

Incomplete markets and the output–inflation tradeoff

This paper analyses the effects of money shocks on macroeconomic aggregates in a tractable flexible-price, incomplete-markets environment that generates persistent wealth inequalities amongst agents. In this framework, current inflation redistribute wealth from the cash-rich employed to the cash-poor unemployed and induce the former to increase their labour supply in order to maintain their desired levels of consumption and precautionary savings. If the shocks are persistent, however, they also raise inflation expectations and thus deter the employed from saving and supplying labour. We relate the strength of these two inflation taxes to the underlying parameters of the model and study how they compete in determining the overall sign and slope of the implied ‘output–inflation tradeoff’ relation.     

Input–output analysis of CO2 emissions embodied in trade and the driving forces: Processing and normal exports

In recent years, energy-related CO₂ emissions embodied in international trade and the driving forces have been widely studied by researchers using the environmental input–output framework. Most previous studies however, do not differentiate different input structures in manufacturing processing exports and normal exports. Using China as an example, this paper exemplifies how implications of results obtained using different export assumptions differ. The study posits that the utilization of traditional I–O model results in an overestimation of emissions embodied in processing exports and an underestimation in normal exports. The estimate of CO₂ emissions embodied in China's exports drops by 32% when the extended I–O model is used. The choice of export assumption has more impact on the decomposition results for processing exports. The study further highlights that for a country with an export structure similar to China, it is meaningful to look into the impact of export assumption in embodied emission studies.