local services sector (Beyers 1978). I am not aware of anyone else attempting this
kind of simulation, but it was an important effort to make, given how ‘open’
regional economies are – that is to say their trade relationships are typically much
stronger with other regions than internally. This model was set into a system of
equations that produced interregional income flows and
interregional final demands,
such that the output and income distribution among the regions evolved over time.
I recall presenting this paper at the regional science meetings in Krakow, Poland,
and had lots of computer printout containing the tables from this speculative
modeling that attracted considerable suspicion from border guards who were sure
I was out to sell all those numbers! I followed up this model with one that had a multi-
regional demographic accounting model integrated with it, and explored the evolu-
tion of populations and economic activity over time with this system (Beyers 1980).
I further developed models of this nature after obtaining some support from
National Science Foundation (NSF) to explore spatial
linkage patterns of busi-
nesses located in Washington State with their markets and sources of supply else-
where in the United States. This work found that the interaction among the
states showed a gravity-model like pattern for Washington firms with clients and
suppliers located in other parts of the United States, and tied the levels of activ-
ity in each region into estimates developed by Polenske in relation to the
Multiregional Input Output (MRIO) model (Polenske 1970). The models were
configured to have most of the interindustry multiplier
effects be interregional
(rather than intraregional), in accord with the data from regional input–output
accounts (Beyers 1974). This kind of modeling is in many ways dreaming with
numbers, but the general properties of the results appeared not to be counterin-
tuitive. I also experimented with the use of drawings to illustrate possible alter-
native spatial linkage configurations, as opposed to using a gravity model in each
region (Beyers 1981). This work also involved the use of cluster analysis to decom-
pose the data in the national input–output model into broad categories of linkages.
It is unfortunate that statistical accounts in the United States have failed to repre-
sent more realistically trade relationships among regions.
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