1977 volume 9(8) pages 945 – 955
doi:10.1068/a090945

Cite as:
Cliff A D, Kelly F P, 1977, "Regional taxonomy using trend-surface coefficients and invariants" Environment and Planning A 9(8) 945 – 955
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Regional taxonomy using trend-surface coefficients and invariants

A D Cliff, F P Kelly

Received 4 July 1977

Abstract. The coefficients of polynomial trend surfaces are a function of the origin and orientation of the grid coordinate system chosen for the analysis. This hampers the interregional comparison of such surfaces. In this paper, some transformations of the calculated surface coefficients are defined which are invariant of grid origin and orientation. Their use is illustrated with an application to some housing density data for fifteen US metropolitan areas.

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