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The Distribution of Urban Population and an Application to a Servicing Problem

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  • Herbert K. Weiss

    (Aeronutronic Division, Ford Motor Company, Newport Beach, California)

Abstract

The growth of the urban component of a nation and the shift in population from rural to urban areas in the course of industrial development are processes that show both regularity and predictability. Consequently, it is possible to describe the concentration of population in terms of population density and area by comparatively simple expressions. In this paper expressions are examined for the distribution of people within cities, for the distribution of city sizes within the United States, and for the total population contained within boundaries described in various ways. These generalizations have many applications, both in industrial planning and in civil defense and other military considerations. The paper shows how it is possible to make approximate estimates of the total population serviced by operations of specified types as a function of the cost structure of the operation.

Suggested Citation

  • Herbert K. Weiss, 1961. "The Distribution of Urban Population and an Application to a Servicing Problem," Operations Research, INFORMS, vol. 9(6), pages 860-874, December.
    • Handle: RePEc:inm:oropre:v:9:y:1961:i:6:p:860-874
    DOI: 10.1287/opre.9.6.860
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    Cited by:

    1. Liotta, Charlotte & Viguié, Vincent & Lepetit, Quentin, 2022. "Testing the monocentric standard urban model in a global sample of cities," Regional Science and Urban Economics, Elsevier, vol. 97(C).
    2. A.R. Jones, 1975. "Density-size Rule, a further Note," Urban Studies, Urban Studies Journal Limited, vol. 12(2), pages 225-228, June.
    3. Harry W. Richardson, 1972. "Optimality in City Size, Systems of Cities and Urban Policy: a Sceptic's View," Urban Studies, Urban Studies Journal Limited, vol. 9(1), pages 29-48, February.
    4. Michael Batty & Kwang Sik Kim, 1992. "Form Follows Function: Reformulating Urban Population Density Functions," Urban Studies, Urban Studies Journal Limited, vol. 29(7), pages 1043-1069, October.
    5. 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.
    6. Samuel Kotz & R. Srinivasan, 1969. "Distribution of product and quotient of Bessel function variates," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 21(1), pages 201-210, December.
    7. John Parr, 2012. "Spatial-structure differences between urban and regional systems," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 49(2), pages 293-303, October.

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