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A Note on the Average Density Function in Urban Analysis

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  • Darryl Holden
  • John B. Parr

Abstract

It is argued that the density function, commonly used in the study of urban spatial structure, is more appropriately described as the ‘marginal density function’. From such a marginal density function, it is possible to derive two types of average density function, each being concerned with a particular aspect of the spatial structure of population. The first type is consistent with the standard approach to the ‘average’ in economic analysis, while the second more completely takes account of the urban context. The two types of average density function are examined for different underlying forms of the marginal density function. Of the two types, the second has a greater applicability than the first in the analysis of urban spatial structure.

Suggested Citation

  • Darryl Holden & John B. Parr, 2013. "A Note on the Average Density Function in Urban Analysis," Urban Studies, Urban Studies Journal Limited, vol. 50(14), pages 3027-3035, November.
    • Handle: RePEc:sae:urbstu:v:50:y:2013:i:14:p:3027-3035
    DOI: 10.1177/0042098012474518
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    References listed on IDEAS

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    1. Alex Anas & Richard Arnott & Kenneth A. Small, 1998. "Urban Spatial Structure," Journal of Economic Literature, American Economic Association, vol. 36(3), pages 1426-1464, September.
    2. Alan W. Evans, 1973. "The Economics of Residential Location," Palgrave Macmillan Books, Palgrave Macmillan, number 978-1-349-01889-5.
    3. Parr, John B. & O'Neill, Gerard J. & Nairn, Alasdair G. M., 1988. "Metropolitan density functions : A Further exploration," Regional Science and Urban Economics, Elsevier, vol. 18(4), pages 463-478, November.
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    Cited by:

    1. John Parr, 2015. "The city and the region as contrasts in spatial organization," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 54(3), pages 797-817, May.
    2. Joan Carles Martori & Rafa Madariaga & Ramon Oller, 2016. "Real estate bubble and urban population density: six Spanish metropolitan areas 2001–2011," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 56(2), pages 369-392, March.

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