DISAGGREGATING INPUT–OUTPUT MODELS WITH INCOMPLETE INFORMATION

Disaggregating a sector within the Leontief input–output (IO) framework is not a straightforward task since there is more than one possibility for the unknown technical coefficients of the disaggregated IO table, and more information than what is embodied in the aggregated IO table is thus required. This paper presents a methodology for disaggregating sectors into an arbitrary number of new sectors when the only available information about the newly formed sectors is their output weights. A random walk algorithm is used to explore the polytope containing the admissible combinations for the unknown technical coefficients of the disaggregated IO table. These combinations are then used to construct the probability distribution of the coefficients of the inverse Leontief matrix. The methodology is illustrated by disaggregating the electricity production sector of China's 2007 IO table and by looking at the probability distribution of the CO₂ emission intensity factors of the sectors of the economy.     

Qualitative Input–Output Analysis of the Indian Economic Structure

Qualitative input–output (IO) analysis can be considered mostly in terms of a graph-theoretic formulation, which involves the construction and use of an adjacency matrix, derived from a binary transformation of the IO coefficient matrix. Classical attempts at qualitative IO analysis have derived the structure from the direct IO coefficient table. In more recent attempts, greater sophistication has been achieved by incorporating a degree of quantification into the qualitative analysis. Also, the concept of important coefficients (IC) has been used for the construction of the adjacency matrix. The present study is carried out along these lines for the Indian economy.     

Input Coefficient Change Using Biproportional Econometric Adjustment Functions

This paper deals with the issue of updating input-output (I-O) coefficients within a large-scale disaggregated econometric macro-model of the Austrian economy. Capturing the changes in input coefficients over time is an important issue in I-O modelling due to a lack of recent benchmark I-O tables in most countries. Different approaches for updating these coefficients can be found in the literature, such as adjusting input coefficients 'along the row' and variable input coefficients 'along the column' stemming from factor input equations derived from production or cost functions. This paper combines these two approaches, yielding a biproportional method. For the adjustment, 'along the column' econometric factor input functions are used to derive a sum of non-energy intermediate inputs. For the adjustment 'along the row' the starting point is a set of adjustment functions described in the literature: special emphasis is placed on econometric specification and 'cointegration accounting'.     

European Community Intercountry Input–Output Relations: Construction Method and Main Results for 1965–85

Eurostat constructs consolidated input–output (IO) tables for the European Community (EC) by means of an aggregation of the domestic and the intra-EC import matrices from the harmonized national IO tables. Intercountry EC IO tables can be constructed by disaggregating the intra-EC imports according to country of origin, with coefficients derived from international trade statistics. These procedures, however, produce inadequate outcomes for several reasons. The most important reason is that the imports are valued in ex-customs prices, instead of the theoretically more appropriate producers' prices. This paper analyzes the nature of these and other data problems, and describes a more extensive and satisfactory method to construct intercountry and consolidated EC IO tables. The empirical results are illustrated by an analysis of the domestic and intercountry intersectoral spillover effects for 1965–85.     

A Revision of the Tolerable Limits Approach: Searching for the Important Coefficients

A wide range of approaches are available for classifying coefficients according to their importance to an economy. The ‘tolerable limits’ approach is one that has been extensively written about. Nevertheless, it seems unsuitable for assessing the overall importance of a coefficient to an economy, but instead appears to be rather well suited for determining how much a selling sector depends upon its customers. We therefore suggest two alternative approaches for measuring a sector's importance to an economy. The first is an application of the concept of elasticity based on Sherman and Morrison's (1950) formula. The second approach applies linear programming. We compare these various alternatives using the domestic IO tables of eight European countries.     

A New Method for the Identification of Patterns in Input–Output Matrices

This paper suggests a new algorithm for selecting the input–output (IO) coefficients of a Leontief matrix in order of importance, so providing an analytical method for decomposing an IO matrix. It avoids the choice of arbitrary thresholds for eliminating flows or coefficients, and allows for circular relationships. For this purpose, a simple inverse-important criterion has been chosen, which is consistent with the logic of the Leontief model. A procedure that greatly reduces the computational burden is then devised. This method permits new comparisons of IO structures of different countries or regions, for identifying their different degree of internal integration and their reciprocal influence through the exchange of intermediate goods. An application to an IO model for seven European Community countries for 1980 is then presented.     

A SYMMETRIC INPUT–OUTPUT TABLE FOR EU27: LATEST PROGRESS

The European Commission is currently establishing an Environmentally Extended Input–Output (EE-IO) Database for the EU27 developed by the Joint Research Centre at the Institute for Prospective Technological Studies (IPTS). This project attempts to generate an analytical dataset comprising all EU countries and yearly time series for the period 1995–2005. Since, for the time being, IO and environmental accounts data are only available with significant gaps part of the dataset will require estimates based on best available proxy data and reasonable assumptions. This paper is focused on the IO database shaped around Eurostat supply and use tables and symmetric IO tables consistent with the NACE classification. The paper describes the procedure by which the latest preliminary results have been obtained for an aggregate EU27 symmetric input–output table for the year 2000.     

Structural Change in Apartheid-era South Africa: 1975-93

This paper examines the sources of structural changes in output growth of South Africa's economy over 1975-93 using a decomposition method within the inputoutput (IO) framework for analysing output changes from a demand side perspective. It decomposes output growth into private consumption, government consumption, investment and export components and also measures the impact of import substitution and changes in intermediate input use (as indicated by changes in IO coefficients). It is found that, before 1981, overall output growth was multi-components driven with all the above components contributing positively to economic growth. However, the collapse of investment demand is by far the single largest factor contributing to the economic stagnation that categorizes the post-1981 period.     

TESTING ASSUMPTIONS MADE IN THE CONSTRUCTION OF INPUT–OUTPUT TABLES

Product input–output (IO) tables are mainly constructed on the basis of product and/or industry technology assumptions. The choice is not trivial and deserves empirical analysis using input and output data at the level of establishments. This paper offers input–output compilers econometric tests to facilitate the construction of tailored hybrid technology-based product IO tables. We provide weighted likelihood ratios of the product and industry technology assumptions. Although the proposed econometric tests are aimed to be used ex ante, we construct four variants of hybrid technology-based product IO tables using establishment data from Andalusia (Spain) and contrast them to the official product IO table and the pure product and industry technology-based tables. Our econometric tests are not valid for industry IO tables.     

Process System Modelling of Production Technology Alternatives using Input– Output Tables with Sector Specific Units

Input–output analysis is usually based on tables of accounts expressed in uniform monetary or physical units. However, from a process system modelling perspective, tables of accounts in sector specific units may be more useful for evaluating the effectiveness of new production technologies on reducing pollutant emissions. Using the sector specific unit conceptualization of an IO table, one can consider the effect of changes in direct input coefficients for a particular sector on the complete set of total input coefficients independently from the other direct input coefficients. A process system modelling based method for calculating the total industrial outputs from a new technology matrix together with the new relative prices for each sector output is presented. The method is then used to study the effect of technology changes in the steel making industry in Liaoning Province, China on prices and pollutant emissions.     

A Synthetic Approach to Projecting Input–Output Tables

This paper describes an approach used in the Canadian input–output (IO) accounts, which seeks to enhance the timeliness of the tables. It combines traditional updating methods, balancing techniques and the most recent data. To assess the performance of this approach, aggregate estimates from the synthetic accounts are presented for two years, and compared with estimates from benchmarks and with estimates obtained from a mechanical estimation technique. The results show that most IO components can be estimated with a relatively small estimation error and that substantial accuracy is gained from using the synthetic approach compared with a mechanical technique. Results based on data which are two years away from IO benchmarks are obtained at the cost of large errors. Synthetic estimates of the IO accounts improve the timeliness problem by at least a full year.     

Introduction: Invention Input–Output Analysis

The papers in this issue are directed towards the development of invention input–output (I(IO)) coefficients. They discuss the procedures for creating I(IO) coefficients using the Yale Technology Concordance, which assigns patented inventions to the industry of manufacture and sector of use, utilizing the International Patent Class system. Tests of reliability of the I(Io) coefficients and their use in economic studies are reported.     

Treatment of Fixed Capital in the Sraffian Framework and in the Theory of Dynamic Input–Output Models

This paper is concerned with a comparison of the treatment of fixed capital in some multi-sectoral models. First, the dynamic Leontief model is investigated. Scrutiny shows that this model suffers from conceptual misconceptions which result from restrictive assumptions concerning full-capacity production and the transferability of capital in place, and from the definition of technical coefficients. Whereas most input–output (IO) models are based on the assumption of infinite life of fixed capital, the Sraffian concept is to treat used fixed capital items as ‘intermediate’ goods, which appear as joint products until they are worn out. To compare that approach with some IO models, an application of the concept of a ‘plant’ is provided. Finally, it is demonstrated that Leontief's model, as well as some recent generalizations, are special cases of a Sraffa-von Neumann type of model.     

Aggregating input–output systems with minimum error

ABSTRACT

Recent advances in multi-region input-output (IO) table construction have led to large databases becoming available. Some of these databases currently demand too much computer memory or user cognition to be handled effectively outside high-performance environments, especially for applications such as virtual laboratories, computable general equilibrium modelling, linear programming, series expansion, or structural decomposition analysis, thus inhibiting their widespread use by analysts and decision-makers. Aggregation is an obvious solution; but there is a need for structured approaches to aggregating an IO system in a way that does not compromise the ability to effectively answer the research question at hand. In this article, I describe how structural path analysis can be used to realise a computationally inexpensive method for aggregating IO systems whilst minimising aggregation errors. I show that there exists no one-fits-all strategy, but that optimal aggregation depends on the research question at hand.     

Updating an Input–Output Matrix with Sign-preservation: Some Improved Objective Functions and their Solutions

This paper presents an easy-to-use method for updating input–output (IO) matrices with sign-preservation by combining Lagrangian multipliers and penalty functions. Biproportional methods such as the representative RAS are very simple and popular because a target matrix can be obtained simply by iterative computation. However, they cannot reasonably deal with matrices that include negative entries. Although a generalized version, GRAS, can do so, its objective function is questionable. In contrast, some non-biproportional methods such as those that take weighted or unweighted squared differences between the target and original matrix as objective functions can deal with negative entries, but it is difficult to guarantee the signs of entries. In this study, GRAS and some conventional objective functions were improved and their solutions for preserving the signs of entries are presented. Comparisons of applying these objective functions to a simple example show that both the Improved Normalized Squared Differences (INSD) function and the Improved GRAS (IGRAS) function yield a good target matrix and are close to each other; we suggest that INSD or IGRAS be used for updating IO transaction matrices in practice.     

Increasing the Timeliness of US Annual Input-Output Accounts

The timeliness of the US input-output (I-O) accounts is a major concern for policymakers and industry analysts, as well as academics. In response, the Bureau of Economic Analysis initiated research in 2001 to identify, develop and implement an estimating method for producing more timely and reliable annual I-O accounts than are currently available. The research included reviewing the frameworks and methods currently used by other statistical agencies and academic researchers, obtaining more timely industry source data, and developing enhanced methods and processes for the automated updating and balancing of annual I-O tables. The results of this research indicate that our new automated updating and balancing method can reduce the time lag for producing the annual I-O accounts from three years to one year without reducing quality. Our method is based on an adjusted RAS process that simultaneously balances the I-O table in producers' and purchasers' prices; uses more exogenous data; and processes tables at the most detailed level.     

New Nonlinear Approaches for the Adjustment and Updating of a SAM

Many structural relationships should be taken into account in any reasonable adjustment and updating process. These structural relationships are mainly represented by ratios of different types, such as technical coefficients or the proportion of the cell value in relation to its row or column total. We believe that in many cases (either because of lack of information or when the time elapsed for the estimation of a social accounting matrix is not long enough to allow for any significant structural change) the updating process should try to minimize the rela- tive deviation of the new coefficients from the initial ones in a homogeneous way. This homogeneity would mean that the magnitude of this relative deviation is similar among the elements of each row or column, therefore avoiding the concentration of the changes in particular cells of the SAM. In this work, we propose some new adjustment criteria in order to obtain a more homogeneous relative adjustment of the structural coefficients. These criteria combine the adjustment method proposed by Matuszewski et al. (1964) with other deviation functions. Each of the adjustment criteria proposed leads to a nonlinear optimization problem which is reformulated as a linear program. We test the usefulness of this proposal by comparing its results with the ones obtained by more standard approaches and we are able to show that these approaches tend to produce a less homogeneous pattern of coefficient adjustment, under certain circumstances, than the ones we put forward.     

Sources of Structural Change and Output Growth of China's Economy: 1987-92

This paper examines the sources of structural changes in output growth of China’s economy over 1987–92 using a decomposition method within the input-output (IO) framework. The model uses three comparable IO tables of 1987, 1990, and 1992 as the main data sources; it accounts for output changes from a demand side perspective and decomposes the growth of output into consumption demand, investment demand, export, import, and intermediate use (indicated by changes in IO coefficients). Special attention is given to identifying the effects of government policies on economic growth and structural change. It is found that overall output growth was multi-components driven rather than single-factor led; the share of the contribution to output growth from consumption and investment expansion declined and that from export and import increased. Whilst the efficiency of factor utilisation remains an issue of further research, a remarkable rise in IO coefficient share indicates a deepening and strong interdependence between industrial sectors over the data period. This revised version was published online in July 2006 with corrections to the Cover Date.     

Analytical Problems in Decomposing the System-wide Effects of Sectoral Technical Change

The disaggregated structure of input–output (IO) analysis makes it very attractive in analyzing technical change. Various authors have applied IO models in comparative static experiments to measure the effects of observed technical changes in individual industries on economy-wide total output (or related primary input) requirements. Less often have researchers performed similar analyses on the effects of changes across all consuming industries in the productive consumption of a sector's output, because of the need to append an external analysis of substitution. Despite the obstacles to joint analyses of sectoral production and cross-sectoral consumption change, its appeal has long been recognized. In this paper, an anomaly in such analyses is presented: the sum of the separate effects of changes in production and changes in productive consumption does not equal the effects of the joint change. A comparative static exercise reveals the root cause of the anomaly: essentially, an index number problem. Empirical analyses are performed across a comprehensive set of US sectors to estimate the range of discrepancies.     

Charity law reform: implementing the Strategy Unit proposals

This paper discusses the recommendations arising from the Strategy Unit review of charities and the wider voluntary sector in England and Wales and the government's response to these. The proposed reforms will involve an updating of charity law; changes to the regulatory framework governing the sector; and a greater emphasis on improving the accountability, transparency and performance of charities and voluntary organisations. In the main these proposals have been welcomed by the sector. In particular there is a clear recognition of the need to modernise the legal position of charities to reflect changes in society and changing public perceptions of what is, or should be, charitable. Copyright © 2004 Henry Stewart Publications