Hostname: page-component-77c89778f8-cnmwb Total loading time: 0 Render date: 2024-07-17T23:35:27.366Z Has data issue: false hasContentIssue false

SPATIAL PATTERN OF THE IMMATURE STAGES OF HYLEMYA BRASSICAE ON CABBAGE

Published online by Cambridge University Press:  31 May 2012

M. K. Mukerji
Affiliation:
Entomology Research Institute, Canada Department of Agriculture, Ottawa
D. G. Harcourt
Affiliation:
Entomology Research Institute, Canada Department of Agriculture, Ottawa

Abstract

Counts of the cabbage maggot, Hylemya brassicae (Bouché), on cabbage did not conform to the Poisson distribution, there being an excess of uninfested and highly infested plants over the expected number. But when the negative binomial series was fitted to the observed distribution, the discrepancies were not significant when tested by chi-square. The negative binomial parameter k tended to increase with density. Using a common k, the distribution of the various stages may be described by expansion of (qp)k, when values of k are as follows: egg 0.78, larva 0.71, pupa 0.84. Three different transformations are offered for stabilizing the variance of field counts.

Type
Articles
Copyright
Copyright © Entomological Society of Canada 1970

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Anscombe, F. J. 1948. The transformation of Poisson, binomial and negative binomial data. Biometrika 35: 246254.CrossRefGoogle Scholar
Anscombe, F. J. 1949. The statistical analysis of insect counts based on the negative binomial distribution. Biometrics 5: 165173.CrossRefGoogle Scholar
Anscombe, F. J. 1950. Sampling theory of the negative binomial and logarithmic series distribution. Biometrika 37: 358382.CrossRefGoogle Scholar
Bliss, C. I., and Fisher, R. A.. 1953. Fitting the negative binomial distribution to biological data. Biometrics 9: 176200.CrossRefGoogle Scholar
Fisher, R. A. 1941. The negative binomial distribution. Ann. Eugenics 11: 182187.CrossRefGoogle Scholar
Fisher, R. A., Corbett, A. S., and Williams, C. B.. 1943. The relation between the number of species and the number of individuals in a random sample of an animal population. J. Anim. Ecol. 12: 4258.CrossRefGoogle Scholar
Goble, H. W. 1960. Insects attacking vegetables. Ont. Dep. Agric. Publ. 522.Google Scholar
Harcourt, D. G. 1960. Distribution of the immature stages of the diamondback moth, Plutella maculipennis (Curt.) (Lepidoptera: Plutellidae), on cabbage. Can. Ent. 92: 517521.CrossRefGoogle Scholar
Harcourt, D. G. 1965. Spatial pattern of the cabbage looper, Trichoplusia ni, on crucifers. Ann. ent. Soc. Am. 58: 8994.CrossRefGoogle Scholar
Harcourt, D. G. 1967. Spatial arrangement of the eggs of Hylemya brassicae (Bouché), and a sequential sampling plan for use in control of the species. Can. J. Pl. Sci. 47: 461467.CrossRefGoogle Scholar
Healy, M. J. R., and Taylor, H. R.. 1962. Tables for power-law transformations. Biometrika 49: 557559.CrossRefGoogle Scholar
Miles, M. 1950. Observations on the biology and control of cabbage root fly, Erioischia brassicae (Bouché). Ann. appl. Biol. 37: 260267.CrossRefGoogle Scholar
Morris, R. F. 1955. The development of sampling techniques for forest insect defoliators, with particular reference to the spruce budworm. Can. J. Zool. 33: 225294.CrossRefGoogle Scholar
Taylor, L. R. 1961. Aggregation, variance and the mean. Nature (Lond.) 189: 732735.CrossRefGoogle Scholar
Waters, W. E. 1959. A quantitative measure of aggregation in insects. J. econ. Ent. 52: 11801184.CrossRefGoogle Scholar
Waters, W. E., and Henson, W. R.. 1959. Some sampling attributes of the negative binomial distribution with special reference to forest insects. Forest Sci. 5: 397412.CrossRefGoogle Scholar