Proportion and Territorial Coverage of Surpluses, Matches, and Densities

Abstract

Having discussed the various important types of primary and derived geosets and their graphical presentations in Parts I and 11, we shall now go on to elucidate the parameters that enable us to measure the primary characteristics of each geoset synthetically and comparatively, namely territorial coverage; density; mean and median location; other indicators of position, including principal direction; absolute territorial dispersion; main aspects of form (concerning the shape of territories and patterns of distribution of population elements), such as oblongity, looseness (or lack of compactness), asymmetry and clustering. In general (apart from a few exceptions, which we shall discuss later), these parameters are obtained from the geosets through the relative weights of the coordinates of corresponding elements or cells. There is thus a clear linkage between a geoset and its map and parameters.