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A quantitative approach to parasitism

Published online by Cambridge University Press:  06 April 2009

H. D. Crofton
Affiliation:
Department of Zoology, University of Bristol

Extract

The frequency distribution of parasites among hosts is used as the basis of the quantitative assessment of the nature of parasitism. The host–parasite system is regarded as an ecological relationship between populations of two different species of organisms. From the overdispersed frequency distributions exemplified by the Negative Binomial distribution a specially truncated form is derived and shown to fit the data of Hynes & Nicholas (1963). The theoretical consequences are discussed and these form the basis of a definition of parasitism.

I am indebted to Professor H. B. N. Hynes who so readily understood my general aims and freely provided detailed information about his work. I also have great pleasure in thanking Professor John H. Whitlock, not only for the original computing facilities which he so generously provided, but also for his many other kindnesses. I am also very grateful to Dr Charles Henderson Jun. for his work on the original computer program and to Dr Mark Westwood for his ingenuity and labours in producing a new approach to the computations.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1971

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References

REFERENCES

Anscombe, F. J. (1950). Sampling theory of the negative binomial and logarithmic series distributions. Biometrika 37, 358–82.CrossRefGoogle ScholarPubMed
Bliss, C. I. (1953). Fitting the negative binomial distribution to biological data. Biometrics 9, 176–96.CrossRefGoogle Scholar
Brass, W. (1958). Sinplified methods of fitting the truncated negative binomial distribution. Biometrika 45, 5968.CrossRefGoogle Scholar
Cassie, R. M. (1962). Frequency distribution models in the ecology of plankton and other organisms. Journal of Animal Ecology 31, 6592.CrossRefGoogle Scholar
Fisher, R. A. (1941). The negative binomial distribution. Annals of Eugenics 11, 182–7.CrossRefGoogle Scholar
Fisher, R. A., Corbett, A. S. & Williams, C. B. (1943). The relation between the number of species and the number of individuals in a random sample of an animal population. Journal of Animal Ecology 12, 4258.CrossRefGoogle Scholar
Hynes, H. B. N. & Nicholas, W. L. (1963). The importance of the acanthocephalan Polymorphus minutus as a parasite of domestic ducks in the United Kingdom. Journal of Helminthology 37, 185–98.CrossRefGoogle ScholarPubMed
Irwin, J. O. (1941). Discussion on the paper: Theory and observation in the investigation of accident causation by Chambers, E. C. & Yule, C. U. Supplement to the Journal of the Royal Statistical Society 7, 98101.Google Scholar
Kostitzin, V. A. (1934). Symbiose, Parasitisme et Evolution. Paris: Hermann.Google Scholar
Kostitzin, V. A. (1939). Mathematical Biology. London: George C. Harrap and Co., Ltd.Google Scholar
Lotka, A. J. (1934). Theorie Analytique des Associations Biologiques. Paris: Hermann.Google Scholar
Milne, A. (1943). The comparison of sheep-tick populations (Ixodes ricinus L.). Annals of Applied Biology 30, 240–53.CrossRefGoogle Scholar
Williams, C. B. (1964). Patterns in the Balance of Nature. London and New York: Academic Press.Google Scholar