Further Considerations on Geosets of Territories

Abstract

In Chapter 3 we considered examples of geosets of territories that were constructed on the basis of the following approaches:

• 1. Dealing with a predetermined territory T of area A^T, we assume that a population P or two populations P and Q are distributed over T, which is divided into a convenient number N^c of cells i (i = 1, 2,..., N^c), of regular hexagonal shape and area A^T/N^c; N^c = F^P for populations of moderate size and N^c < F^P for large populations; centers (X _i , Y _i ) of cells i are determined

• 2. If we wish to calculate the geostatistical parameters of T, as gross territory, we use the geoset ^gU as an approximate base: ^gU = {X _i , Y _i ; w _i ^c = 1/N^c} (4.1)

• 3. If greater precision is required, some geostatistical parameters, such as those measuring dispersion, can be adjusted in order to take intracell dispersion into account.

• 4. From the comparison between ^gP and ^gU, we derive geosets ^gH and ^gNH of habitat and nonhabitat. Habitat can be further subdivided into (a) the subterritory corresponding to the match between ^gP and ^gU; (b) the subterritory corresponding to surpluses ^gSPU of ^gP over ^gU.

• 5. From the comparison of two population geosets ^gP and ^gQ over the same territory T, we derive territorial geosets ^gTSPQ, ^gTSQP, ^gTM(P, Q), and ^gTV(P, Q), which serve as a basis for calculating approximations to the geostatistical parameters of these territories.