SUPPLY-SIDE MULTIREGIONAL INPUT-OUTPUT MODELS*

ABSTRACT This paper introduces a new class of supply-side multiregional input-output (MRIO) models and provides the necessary and sufficient conditions on the regional trade matrices that ensure that a generalized supply-side model will be convergent. The paper also introduces a new version of the row coefficient model, conceived as the “mirror image” of the Chenery-Moses demand-side column coefficient MRIO model. Given that the conventional supply-side input-output model has been shown to perform equally as well as the demand side model in forecasting exercises, the supply-side MRIO model is expected to be of value for policy and planning purposes. Moreover, this model is of potential theoretical value for a broad synthesis of demand-side and supply-side MRIO models.     

TRANSBOUNDARY INCOME AND EXPENDITURE FLOWS IN REGIONAL INPUT-OUTPUT MODELS*

ABSTRACT. Nearly all regional input-output models have been constructed without a proper accounting of inflows and outflows of personal income and personal consumption expenditures. Typically invoked is a no cross-payments assumption, analogous to the no cross-hauling assumption for commodities. We present a new accounting framework based on the classification of flows according to the location of income generation, receipt, and spending, and argue that only flows endogenous in all three respects should be part of a closed regional I-O model. We use the framework to compute the upward bias in multipliers in a typical regional I-O model. We also present several methods for estimating transboundary flows.     

UPPER BOUNDS ON THE SIZES OF INTERREGIONAL FEEDBACKS IN MULTIREGIONAL INPUT-OUTPUT MODELS*

ABSTRACT. Upper bounds are presented for a measure of the overall percentage error caused in a multiregional input-output model when interregional feedback effects are ignored. This error figure is thus a measure of the magnitude of interregional linkages. The upper bounds are expressed as a function of the levels of self-sufficiency in the regions in the model and of the norms of the regional technical coefficients matrices. Experimental results are presented for a variety of examples that are thought to reflect real-world situations, and it is clear that in many cases the upper bound (and hence the error) is extremely small. The implication is that single-region input-output models may be adequate for a variety of questions.     

HOUSEHOLD INCOME AND EXPENDITURE IN EXTENDED INPUT-OUTPUT MODELS: A COMPARATIVE THEORETICAL AND EMPIRICAL ANALYSIS*

ABSTRACT At the regional level in-migrant and indigenous workers are likely to have different income levels and consumption propensities. The effects that these differences have upon a local economy are explored within an extended input-output modeling framework. Two iterative input-output models, due to Miernyk et al. and Blackwell, are recast as systems of simultaneous equations and are shown to produce identical results. A detailed analysis is made of model structure and a method is outlined for the decomposition of income multipliers. Empirical versions of the two models, for Boulder and Cork, are reconstructed with data from the original studies and are used to make comparisons of the two local economies.     

INTERREGIONAL FEEDBACKS IN INPUT-OUTPUT MODELS: THE LEAST UPPER BOUND*

ABSTRACT. The least upper bound to the overall percentage error resulting from the omission of interregional feedbacks in input-output analysis is defined. This limiting value is the most informative of all upper bounds. A procedure for its computation is outlined and a number of experiments, using U.S. data, are discussed.     

THE ROLE OF ERROR STRUCTURE IN SIMULATIONS ON REGIONAL INPUT-OUTPUT ANALYSIS*

Previous simulation experiments on regional input-output analysis have concluded that regional purchase coefficients are more important than technical coefficients in contributing to multiplier accuracy. This paper shows that the multiplicative error structure used in those experiments may have biased the results. A new error structure, combining a multiplicative and an additive component is introduced, and simulations are conducted on randomly generated models. The analysis shows that the results are sensitive to the relative magnitudes of the two error components, as well as to the closure of the model.     

LONG-TERM FORECASTING OF NONCOINTEGRATED AND COINTEGRATED REGIONAL AND NATIONAL MODELS*

ABSTRACT. Johansen's (1988) multivariate test for cointegration is first applied to four models involving quarterly state data and five variables, along with a national model based on Friedman and Kuttner's (1992) model of money demand, which uses three variables. Each regional model consists of frequently used national and state series, for which theory suggests the possible cointegration of several series pairs. Beginning with all five series, however, one state model is found to be cointegrated over each of 20 successive estimation intervals. The money demand model and one state model are not cointegrated over the same intervals. In the cointegrated case, five-year experimental forecasts show that error correction mechanism (ECM) and Bayesian ECM models outperform all other approaches. More importantly, forecasting performance improves further by respecifying the ECM model based on three cointegrated series pairs rather than the five-component cointegrating vector. For the two noncointegrated systems, the first-difference model suggested by the cointegration/ error correction literature is far superior to VAR in levels over both shortand long-term horizons.     

A LONG-RUN INTERPRETATION OF REGIONAL INPUT-OUTPUT ANALYSIS*

ABSTRACT. Regional input-output (I-O) analysis is traditionally motivated by a short-run, extreme Keynesian vision of markets. In this paper we argue that an appropriately formulated, investment-endogenous, I-O system replicates the long-run equilibria of a wide range of regional models, many of which do not operate as I-O systems in the short run. In particular, we use a computable general equilibrium (CGE) framework to illustrate the impact of an aggregate demand disturbance on an I-O and standard neoclassical model. When run forward over a number of periods, the results from the capacity-constrained neoclassical model asymptotically approach the I-O outcome. We use sensitivity analysis to examine the speed of adjustment of the neo-classical system and investigate barriers to the attainment of the I-O result.