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Proceedings of the National Academy of Sciences of the United States of America logoLink to Proceedings of the National Academy of Sciences of the United States of America
. 1981 Jun;78(6):3292–3295. doi: 10.1073/pnas.78.6.3292

Lesion distribution, multiple infection, and the logistic increase of plant disease

Paul E Waggoner 1, Saul Rich 1
PMCID: PMC319552  PMID: 16593024

Abstract

The lesions of few of the 112 observed cases of plant disease were randomly distributed; most were fitted by the negative binomial function with exponent ≈ 1. The proportion of healthy hosts generally equaled the frequency of zero in the negative binomial. The same course of an epidemic is calculated for the logistic increase of infected plants or for plants infected by propagules produced in proportion to lesions and distributed with exponent equal 1.

Keywords: negative binomial distribution, contagious distribution

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Selected References

These references are in PubMed. This may not be the complete list of references from this article.

  1. ANSCOMBE F. J. Sampling theory of the negative binomial and logarithmic series distributions. Biometrika. 1950 Dec;37(3-4):358–382. [PubMed] [Google Scholar]

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