General: Uniform Distribution of Objects in a Homogeneous Field: Cities on a Plain (original) (raw)
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- Published: 03 September 1971
Nature volume 233, pages 67–68 (1971)Cite this article
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Abstract
THE uniform distribution of objects in a homogenous field is familiar in all kinds of circumstances—atoms in liquids1–3, fibrils in cells4, hairs on insects5,6 and mammals7, stomata on leaves8, trees in forests9–10 and cities on plains11,12. In many of these circumstances the relative positions of the objects may be described by a radial distribution function. In what follows we shall show that such a function may be used to study the distribution of cities on a plain.
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References
- Egelstaff, P. A., An Introduction to the Liquid State (Academic Press, London, 1967).
Google Scholar - Alder, B. J., Frankel, S. P., and Lewinson, V. A., J. Chem. Phys., 23, 417 (1955).
Article ADS CAS Google Scholar - Chae, D. G., Ree, F. H., and Ree, T., J. Chem. Phys., 50, 1581 (1969).
Article ADS CAS Google Scholar - Farrell, R. A., and Hart, R. W., Bull. Math. Biophys., 31, 727 (1969).
Article CAS Google Scholar - Wigglesworth, V. B., J. Exp. Biol., 17, 180 (1940).
Google Scholar - Lawrence, P. A., Dev. Biol., 19, 12 (1969).
Article CAS Google Scholar - Claxton, J. H., J. Theoret. Biol., 7, 302 (1964).
Article CAS Google Scholar - Ursprung, H., in Major Problems in Developmental Biology (edit. by Locke, M.) (Academic Press, New York, 1966).
Google Scholar - Pielou, E. C., J. Ecol., 48, 575 (1960).
Article Google Scholar - Pielou, E. C., An Introduction to Mathematical Ecology, ch. 10 (Wiley Interscience, New York, 1969).
MATH Google Scholar - Christaller, W., Central Places in Southern Germany (Prentice Hall, New Jersey, 1966).
Google Scholar - Berry, B., and Horton, F., Geographic Perspectives on Urban Systems (Prentice Hall, New Jersey, 1970).
Google Scholar - Tobler, W. R., Area, 1, 30 (1969).
Google Scholar
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Authors and Affiliations
- Department of Theoretical Biology, University of Chicago, 939 E 57th Street, Chicago, Illinois, 60637
LEON GLASS - Department of Geography, University of Michigan, Ann Arbor, Michigan, 48104
WALDO R. TOBLER
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- LEON GLASS
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GLASS, L., TOBLER, W. General: Uniform Distribution of Objects in a Homogeneous Field: Cities on a Plain.Nature 233, 67–68 (1971). https://doi.org/10.1038/233067a0
- Received: 29 March 1971
- Issue Date: 03 September 1971
- DOI: https://doi.org/10.1038/233067a0