A STUDY OF THE ROLE OF REGIONALIZATION IN THE
GENERATION OF AGGREGATION ERROR IN REGIONAL
INPUT-OUTPUT MODELS*
Michael L. Lahr
Center for Urban Policy Research, Rutgers, The State University of New Jersey, New
Brunswick, NJ 08901-1982, U.S.A. E-Mail: lahr@rci.rutgers.edu
Benjamin H. Stevens
Benjamin H. Stevens died December 9, 1997. For more information, see Miller (1998).
ABSTRACT. Although the need for aggregation in input-output modeling has dimin-
ished with the increases in computing power, an alarming number of regional studies
continue to use the procedure. The rationales for doing so typically are grounded in data
problems at the regional level. As a result many regional analysts use aggregated national
input-output models and trade-adjust them at this aggregated level.In this paper,we point
out why this approach can be inappropriate. We do so by noting that it creates a possible
source of model misapplication (i.e., a direct effect could appear for a sector where one does
not exist) and also by finding that a large amount of error (on the order of 100 percent)
can be induced into the impact results as a result of improper aggregation. In simulations,
we find that average aggregation error tends to peak at 81 sectors after rising from 492
to 365 sectors. Perversely, error then diminishes somewhat as the model size decreases
further to 11 and 6 sectors.We also find that while region- and sector-specific attributes
influence aggregation error in a statistically significantly manner, their influence on the
amount of error generally does not appear to be large.
1. THE GENERAL AGGREGATION QUESTION
Economic researchers have always had the problem of aggregating data to
a “reasonable” level so that economic interactions could be analyzed effectively.
As Leontief states, “the practical choice is not between aggregation and non-
aggregation but rather between a higher and lower degree of aggregation” (1949,
© Blackwell Publishing, Inc. 2002.
Blackwell Publishing, Inc., 350 Main Street, Malden, MA 02148, USA and 108 Cowley Road, Oxford, OX4 1JF, UK.
*Some of the discussions in this paper have been presented in more primitive form as early
as May 29, 1987, in Binghamton, New York. The first thoughts on the subject first appeared in 1990
as RSRI Discussion Paper No. 130. We gratefully acknowledge the comments of Rodney C. Jensen
and Ronald E. Miller on that rendition. In 1993, equipped with a full set of simulation results, it was
republished as RSRI Discussion Paper No. 134 with the author order reversed. We gratefully
acknowledge the comments of an anonymous referee and Erik Dietzenbacher, in particular, on that
paper and its revision. In incorporating the two latest sets of comments to form the present paper,
Lahr worked without the benefit of his senior author’s wisdom, charity, or approval, and yet all the
while recalled his different points of view on some of the paper’s aspects, even though they were
echoes of conversations over three years old.
Received December 2000; revised May 2001; accepted August 2001.
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JOURNAL OF REGIONAL SCIENCE, VOL. 42, NO. 3, 2002, pp. 477–507