The procedure for the hierarchical aggregation of interaction data advocated by Masser and Brown (1975) does not take into account variations in the size of the row and column totals of the interaction matrix during the grouping process. The evaluation of cell entries within the matrix according to the objective function in the proposed aggregation procedure is thereby invalidated. Prior adjustment of the interaction matrix, so that both rows and columns in the resultant matrix sum to the same arbitrary total, effectively overcomes the problem of size effects.
Get full access to this article
View all access options for this article.
References
1.
BrownL AHortonF E, 1970“Functional distance: an operational approach”Geographical Analysis276–83
2.
GoodmanL, 1963“Statistical methods for the preliminary analysis of transaction flows”Econometrica31197–208
3.
HollingsworthT H, 1971“Gross migration flows as a basis for regional definition: an experiment with Scottish data”Proceedings of the IUSSP Conference, London, 196942755–2765
4.
MasserIBrownP J B, 1975“Hierarchical aggregation procedures for interaction data”Environment and Planning A7509–523
5.
NystuenJ DDaceyM F, 1961“A graph theory interpretation of nodal regions”Papers and Proceedings, Regional Science Association729–42
6.
SlaterL J, 1972“More fortran programs for economists” OP-34, Department of Applied Economics, University of Cambridge, Cambridge
7.
SlaterP B, 1976“A hierarchical regionalization of Japanese Prefectures using 1972 inter-Prefectural migration flows”Regional Studies10123–132
8.
SpenceN ATaylorP J, 1970“Quantitative methods in regional taxonomy”Progress in Geography21–64
9.
TyreeA, 1973“Mobility ratios and association in mobility tables”Population Studies27577–588
