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The rank size rule in perspective

Published online by Cambridge University Press:  22 September 2016

Freda Conway
Freda Conway*
Affiliation:
27 Cedars Court, Leicester LE2 1ZD
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Extract

The rank size rule is an empirical law which describes part of the size distributions of towns within individual countries and regions. It is of particular interest to geographers; and it is one of many applications of mathematics which are now being introduced into school science and mathematics courses. Since a collection of topics does not necessarily add up to a satisfactory mathematics course, it is useful to consider their integration into more general courses. The rank size rule could be taught as part of a course in descriptive statistics and linked to a more general discussion of frequency distributions.

Type
Research Article
Information
The Mathematical Gazette , Volume 63 , Issue 423 , March 1979 , pp. 30 - 36
Copyright
Copyright © Mathematical Association 1979

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References

1. Bradford, M. G. and Kent, W. A., Human geography. Oxford University Press (1977).Google Scholar
2. The rank size rule; Unit 32 of the Continuing Mathematics Project. Longman, for CET/Schools Council (1977).Google Scholar
3. Nelson, R. D., Mathematical modelling in the classroom, Mathl Gaz. 61, 81–92 (No. 416, June 1977).Google Scholar
4. Yule, G. U., Sentence length as a statistical characteristic, Biometrika 30, 363–390 (1938).Google Scholar
5. Pearson, K., On the probability that two independent distributions of frequency are really samples of the same population, with special reference to recent work on trypanosome strains, Biometrika 10, 85–143 (1914).CrossRefGoogle Scholar
6. Sawyer, W. W., The search for pattern. Penguin (1970).Google Scholar
7. Steindl, J., Random processes and the growth of firms. Griffin, Charles (1965).Google Scholar
8. Ijiri, J. and Simon, H. A., Skew distributions and the sizes of business firms. North Holland (1977).Google Scholar
9. Law, C. M., The growth of urban population in England and Wales 1811-1911, Inst. British Geographers Publication no. 41, 125–143 (1967).Google Scholar
10. Fawcett, C. B., Distribution of the urban population in Great Britain, Geographical Journal 79, 100–116(1932).Google Scholar
11. Stewart, C. T., The size and spacing of cities, Geographical Review 48, 222–245(1958).Google Scholar
12. Haggett, P., Cliff, A. D. and Frey, A., Locational models. Arnold, (1977).Google Scholar
13. Haran, E. G. P. and Vining, D. R., On the implications of a stationary urban population for the size distribution of cities, Geographical Analysis 4, 296–308(1973).Google Scholar
14. Preliminary Report of the Census of Population for England and Wales, 1971. HMSO.Google Scholar