A MODEL FOR THE AREAL PATTERN OF RETAIL AND SERVICE ESTABLISHMENTS WITHIN AN URBAN AREA.
Abstract
Three components of the areal pattern of retail, service and other commercial establishments within an urban area are (i) a dominant element formed by the location of the central business district and other commercial centers of varying sizes, (ii) a local element formed by the locations of establishments within each commercial center, and (iii) a diffused element formed by the scattered locations of large numbers of isolated establishments. The purpose of this study is to incorporate these components of pattern into a stochastic model for the locations of commercial establishments within an urban area. The internal structure of an urban area is described by measures of spacing between establishments having particular kinds of neighborhood relations. Though the basic model uses general functions to specify the locations of establishments, the study of specific spacing measures is primarily for an urban area where the locations are given by bivariate normal distributions. For the 'normally distributed' urban area, probability distributions of distance between pairs of establishments having specified kinds of neighborhood relations are obtained. Probability distributions are also given for distance between establishments where parameters of the bivariate normal distribution are random variables obeying the gamma or beta probability law. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Apr 01, 1966
- Accession Number
- AD0634020
Entities
People
- Michael F. Dacey
Organizations
- Northwestern University