A spatial analysis of gravity flows

Abstract

Curry L. (1972) A spatial analysis of gravity flows, Reg. Studies 6, 131–147. Since Wilson gave theoretical substance to the gravity model, it is possible to treat it analytically. His derivation is discussed and calibration problems examined. In particular, the general constraints on the maximum entropy solution he obtains can be particularized. Here the association between the spatial distribution of jobs and homes is investigated using a spatial regression operator which is interpreted as the impulse response function of a second order difference equation. By using Z transforms, the regression and gravity operators are applied in paralle. Feedback from the resulting trip pattern allows the job-home relation to be changed sequentially. Measures of spatial entropy and joint information are introduced and related to travel entropy.