Morphisms for Quantitative Spatial Analysis by Daniel A. Griffith & Jean H. P. Paelinck

Morphisms for Quantitative Spatial Analysis by Daniel A. Griffith & Jean H. P. Paelinck

Author:Daniel A. Griffith & Jean H. P. Paelinck
Language: eng
Format: epub
Publisher: Springer International Publishing, Cham


Original Tinbergen –Bos analysis was conducted on pure final demand relations (although Bos, as previously mentioned, presented an exercise that included input–output relations). Input–output relations require reasoning in terms of production levels rather than incomes, but the link between the two can be established easily, as the following equation shows for good i:

(12.1)

where y denotes income, q denotes production, and m denotes the production–income ratio (the inverse of the value added share). If we now consider a problem with two activities and agriculture (the latter being given symbol 0), three types of centers can be constructed: centers with only activities 1, centers with only activities 2, and mixed centers (here given index 3). Figure 12.1 shows how complex the model already is; we subsequently return to this complexity (see Sect. 12.2.2). In Fig. 12.1, the a k y l flows represent final deliveries, and the v2-flows deliver intermediate goods and services between centers (or with agriculture); the connecting lines complete the interpretation.

Fig. 12.1A Tinbergen –Bos system visualized



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