THE URBAN HOUSEHOLD PATTERN OF DAYTIME POPULATION-CHANGE

A matrix representation of places of residence and places of commuting destination in a metropolis, is coupled with evidence regarding spatio-temporal change in average household size. This approach allows the average number of persons per household who commute to be hierarchically ordered in a square matrix which shows attributes associated with a well-known class of matrices. Based on these attributes it is shown that any given spatial distribution of households implies a bounded range of vectors representing the spatial distribution of commuters. Two related distributions correspond to night-time and daytime populations in the metropolitan subareas. Whereas much of contemporary urban modelling is rooted in economic considerations, this alternative approach replaces explicit economic reasoning with some speculative considerations. The proposed methodology is applied to thirty four subareas throughout the city of Saskatoon, Saskatchewan.