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Aspects of the Lognormal Function in the Analysis of Regional Population Distribution

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  • J B Parr

    (Department of Social and Economic Research, University of Glasgow, Glasgow G12 8RT, United Kingdom)

  • G J O'Neill

    (BBN Systems and Technologies, Heriot-Watt Research Park, Riccarton, Edinburgh EH14 4AR United Kingdom)

Abstract

The spatial structure of population within a metropolitan-area-based region is approached via the population density function, in much the same way as has been undertaken for a city or metropolitan area. A particularly appropriate form of the density function is the lognormal, and the broad features of this function are outlined. The concern in the balance of the paper is with certain properties of the lognormal form. These properties are descriptive in nature, but may also be of a predictive character, in the sense that the predicted property can be contrasted with its observed counterpart. Consideration is given first to properties based on density. The population form of the lognormal function is then derived, and properties based on population are examined. Attention is also given to relationships among density-based and population-based properties. An example of the approach and how it may contribute to the analysis of spatial structure, particularly over time, is illustrated with respect to a major metropolitan-area-based region. Last, possible applications of this type of analysis are discussed.

Suggested Citation

  • J B Parr & G J O'Neill, 1989. "Aspects of the Lognormal Function in the Analysis of Regional Population Distribution," Environment and Planning A, , vol. 21(7), pages 961-973, July.
    • Handle: RePEc:sae:envira:v:21:y:1989:i:7:p:961-973
    DOI: 10.1068/a210961
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    References listed on IDEAS

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    1. G J Papageorgiou, 1971. "The Population Density and Rent Distribution Models within a Multicentre Framework," Environment and Planning A, , vol. 3(3), pages 267-281, September.
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    Cited by:

    1. L De Cola, 1991. "Fractal Analysis of Multiscale Spatial Autocorrelation among Point Data," Environment and Planning A, , vol. 23(4), pages 545-556, April.
    2. Jian Feng & Yanguang Chen, 2021. "Modeling Urban Growth and Socio-Spatial Dynamics of Hangzhou, China: 1964–2010," Sustainability, MDPI, vol. 13(2), pages 1-25, January.

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