Geographia Polonica (1986) vol. 52

A statistical approach to modelling interaction in a functional space

Ludwik Mazurkiewicz

Geographia Polonica (1986) vol. 52, pp. 153-158 | Full text

The purpose of the present paper is to use analogy of one of the fundamentalconcepts of quantum mechanics to derive a negative exponential random variabledistribution defining the statistical character of the relationship between distanceand the intensity of interaction in a functional space. The functional space in thecontext of the paper is the space in which distance is measured in terms ofintervening opportunities. The random variable distribution obtained will play therole of distance decay function in the intervening opportunities model of spatialinteraction.

Ludwik Mazurkiewicz, Institute of Geography and Spatial Organization Polish Academy of Sciences, Twarda 51/55, 00‑818 Warszawa, Poland