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The Negative Exponential Density Gradient and the Standard Radius: Mathematical and Empirical Relationships

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  • D M Manson

    (The Urban Institute, 2100 M Street, N W, Washington, DC 20037, USA)

Abstract

This paper demonstrates for urban areas a direct relationship between the summary measures of centrography and the slope parameter of the negative exponential density gradient model. Starting with some basic assumptions about the form of urban population distributions, a mathematical relationship between the methods is derived by applying the centrographic technique to an exponentially distributed urban population. By use of data from a diverse sample of cities that vary in population, region, area, and time of data collection, the relationship is tested empirically. The results of the empirical analysis are compared with the predictions of the derived relationship, and the causes of differences between them are discussed.

Suggested Citation

  • D M Manson, 1981. "The Negative Exponential Density Gradient and the Standard Radius: Mathematical and Empirical Relationships," Environment and Planning A, , vol. 13(9), pages 1059-1065, September.
    • Handle: RePEc:sae:envira:v:13:y:1981:i:9:p:1059-1065
    DOI: 10.1068/a131059
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    Cited by:

    1. Kyeongsu Kim & Michael L. Lahr, 2014. "The impact of Hudson-Bergen Light Rail on residential property appreciation," Papers in Regional Science, Wiley Blackwell, vol. 93, pages 79-97, November.

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