Spatial and Temporal Aspects of the Density-Distance Relationship

Abstract

Numerous studies of the relationship between urban population density and distance from the city's center have shown that: (1) Cross-sectionally, the relationship between density and distance is negative, such that density crests in the interior of the city and declines toward the periphery. (2) Longitudinally, the slope of the density-distance relationship becomes flatter as central densities decline as neighborhoods age and thin and as fringe areas develop and increase in population. Most studies have worked with the total relationship between density and distance, ignoring cross-sectional and longitudinal variants from the general pattern for subareas of the metropolis. Large cities seldom develop uniformily in concentric patterns focused upon the CBD. More typical is the axial pattern described by Hurd or the sectoral pattern by Hoyt in which development is axial along principal arteries of transportation with inner-axial areas developing at later points in time. This paper pursues intra-urban differences in growth and development as expressed in the density-distance relationship. Our focus is on between-sector differences in the density-distance relationship at given points in time and upon temporal differences in the relationship through time for individual sectors. Our aim is to specify in a more detailed fashion the link between general urban dynamics and the changing density-distance relationship. The data are for the Cleveland metropolitan area, 1930–1970.