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A theoretical evaluation of population growth after removing individuals from some age groups

Published online by Cambridge University Press:  10 July 2009

L. P. Lefkovitch
L. P. Lefkovitch
Affiliation:
Agricultural Research Council, Pest Infestation LaboratorySlough, Bucks
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Extract

A mathematical treatment is proposed, utilising the methods and notation of matrix algebra, for evaluating the theroetical effects on the growth and structure of a population of the removal of individuals in particular age groups or stages in the life history. Formulae are derived to establish what proportions of given age groups or stages, individually or in combination, can be withdraw from the population whilst permitting its maintenance at a constant level. It is pointed out that these methods, appropriate to the situtation in which the population is exploited by a cropping procedure, can be extened to the special case of population control, in which it is desired to minimise or eliminate the population. The methods are illustated by numerical examples based on census observations on a growing population of Lasioderma serricorne (F.).

Type
Research Paper
Information
Bulletin of Entomological Research , Volume 57 , Issue 3 , November 1967 , pp. 437 - 445
Copyright
Copyright © Cambridge University Press 1967

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References

Andrewartha, H. G. & Birch, L. C. (1954). The distribution and abundance of animals.—782 pp., Chicago, Univ. Chicago Pr.Google Scholar
Darwin, J. H. & Williams, R. M. (1964). The effect of time of hunting on the size of a rabbit population.—N. Z. Jl Sci. 7 pp. 341–352.Google Scholar
Fisher, R. A. (1930). The genetical theory of natural selection.—272 pp., Oxford, Clarendon Pr.CrossRefGoogle Scholar
Gantmacher, F. R. (1959). The theory of matrices. Vol. 1. New York: Chelsea.Google Scholar
Howe, R. W. & Hole, B. D. (1966). The susceptibility of the developmental stages of Sitophilus granarius (L). (Coleoptera, Curculionidae) to methyl bromide.—J. stored Prod. Res. 2 pp. 13–26.CrossRefGoogle Scholar
Lefkovitch, L. P. (1962). An experimental and theoretical approach to the age structures of populations of continuously breeding animals.—Verh. int. Kongr. Ent. Wien 2 pp. 309–313.Google Scholar
Lefkovitch, L. P. (1964). The growth of restricted populations of Lasioderma serricorne (F.) (Coleoptera, Anobiidae).—Bull. ent. Res. 55 pp. 87–96.CrossRefGoogle Scholar
Lefkovitch, L. P. (1965). The study of population growth in organisms grouped by stages.—Biometrics 21 pp. 1–18.Google Scholar
Lefkovitch, L. P. (in press). Numbers and biomass in population growth.—Acta Biotheoretica.Google Scholar
Leslie, P. H. (1945). On the use of matrices in certain population mathematics.—Biometrika 33 pp. 183–212.Google Scholar
Leslie, P. H. (1948). Some further notes on the use of matrices in population mathematics.—Biometrika 35 pp. 213–245.Google Scholar
Lotka, A. J. (1925). Elements of physical biology.—460 pp. Baltimore, Williams & Wilkins.Google Scholar
Solomon, M. E. (1955). The relative control values of different percentage mortalities.—Bull. ent. Res. 46 pp. 189–191.CrossRefGoogle Scholar
Watt, K. E. F. (1962). The conceptual formulation and mathematical solution of practical problems in population input-output dynamics. In Le Cren, E. D. & Holdgate, M. W. (Ed.). The exploitation of natural animal populations, pp. 191–203.—Oxford, Blackwell.Google Scholar
Yeo, D. & Simpson, H. R. (1960). The effect of repeated insecticidal applications on a natural tsetse population.—Bull. ent. Res. 51 pp. 631–637.Google Scholar