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UPPER BOUNDS ON THE SIZES OF INTERREGIONAL FEEDBACKS IN MULTIREGIONAL INPUT‐OUTPUT MODELS *
Author(s) -
Miller Ronald E.
Publication year - 1986
Publication title -
journal of regional science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.171
H-Index - 79
eISSN - 1467-9787
pISSN - 0022-4146
DOI - 10.1111/j.1467-9787.1986.tb00821.x
Subject(s) - measure (data warehouse) , variety (cybernetics) , upper and lower bounds , function (biology) , econometrics , mathematics , mathematical economics , computer science , economics , statistics , mathematical analysis , evolutionary biology , biology , database
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.