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Urban Density Gradient Model×Accessibility Analysis×
OborHuman GeographyHuman Geography
RodinaRegression modelProcess / pipeline
Rok vzniku19511959
TvůrceColin Clark; Edwin Mills & Richard Muth (theory); Bruce Newling (quadratic form)Walter G. Hansen
TypFamily of functional models of urban population density as a function of distance from the centreSpatial index of the ease of reaching opportunities from a location
Původní zdrojClark, C. (1951). Urban population densities. Journal of the Royal Statistical Society. Series A (General), 114(4), 490–496. DOI ↗Hansen, W. G. (1959). How accessibility shapes land use. Journal of the American Institute of Planners, 25(2), 73–76. DOI ↗
Další názvyUrban Density Function, Population Density Gradient, Density-Distance Function, Monocentric Density ModelHansen Accessibility, Gravity Accessibility Measure, Potential Accessibility, Spatial Accessibility Index
Příbuzné44
ShrnutíThe urban density gradient model is the broad family of functional relationships that describe how population density varies with distance from a city's centre. Its canonical member is Colin Clark's 1951 negative-exponential form, but the family also includes Bruce Newling's quadratic-exponential function that permits a density crater at the core, simpler linear and Smeed forms, and the economic micro-foundation supplied by the Muth-Mills monocentric city model. Together these give planners and economists a compact, comparable language for urban spatial structure.Accessibility analysis measures how easily opportunities — jobs, shops, clinics, parks — can be reached from a given location, combining the attractiveness (size) of destinations with the cost of travelling to them. The gravity-based formulation introduced by Walter Hansen in 1959 sums the opportunities at all destinations, each discounted by a distance-decay function of travel cost, producing a single accessibility score per origin that has become a foundational concept in transport geography and urban planning.
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ScholarGatePorovnat metody: Urban Density Gradient Model · Accessibility Analysis. Získáno 2026-06-24 z https://scholargate.app/cs/compare