Urban connectivity in Montana

Q mode factor analysis is used to isolate the latent structure of the pattern of telephone calls between Montana towns. An eleven axis component solution accounts for 82.6% of the variance of data set and defines a series of nodal regions in the state. A higher order factor analysis is used to generalize these results into second and third order levels of connectivity. Comparison of the first order regions with results derived from Huff's gravity model demonstrates the utility of this theoretical formulation. The overall spatial structure of connectivity bears close relationships with the hierarchical and reciprocal propositions about urban structure formulated by Friedmann but there are a lot of overlapping connections and local distortions which modify the pattern.

[1]  P. Mather,et al.  Factorial Ecology and Factor Invariance: An Investigation , 1975 .

[2]  Second Edition,et al.  Statistical Package for the Social Sciences , 1970 .

[3]  Melvin M. Webber,et al.  The Urban Place and the Nonplace Urban Realm , 1964 .

[4]  W. Davies,et al.  Spatial patterns of commuting in South Wales, 1951–1971: A factor analysis definition , 1978 .

[5]  William R. Black,et al.  TOWARD A FACTORIAL ECOLOGY OF FLOWSV , 1973 .

[6]  M. Dacey,et al.  A graph theory interpretation of nodal regions , 1961 .

[7]  R. E. Preston.  The Structure of Central Place Systems , 1971 .

[8]  David L. Huff,et al.  The delineation of a national system of planning regions on the basis of urban spheres of influence , 1973 .

[9]  M A Hirst,et al.  Hierarchical Aggregation Procedures for Interaction Data: A Comment , 1977 .

[10]  John Friedmann,et al.  A general theory of polarized development , 1967 .

[11]  L. A. Brown,et al.  THE DELIMITATION OF FUNCTIONAL REGIONS, NODAL REGIONS, AND HIERARCHIES BY FUNCTIONAL DISTANCE APPROACHES* , 1971 .

[12]  David Clark,et al.  THE FORMAL AND FUNCTIONAL STRUCTURE OF WALES , 1973 .

[13]  Sven Illeris,et al.  Central places and functional regions in Denmark : factor analysis of telephone traffic , 1968 .

[14]  W. Davies.  Conurbation and city-region in an administrative borderland: A case study of the Greater Swansea area , 1972 .

[15]  W. Davies,et al.  A COMPARATIVE FACTORIAL ECOLOGY OF THREE CANADIAN PRAIRIE CITIES , 1973 .

[16]  Ian Masser,et al.  Hierarchical Aggregation Procedures for Interaction Data , 1975 .