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  Growth rate, population entropy, and perturbation theory.

Demetrius, L. (1989). Growth rate, population entropy, and perturbation theory. Mathematical Biosciences, 93(2), 159-180. doi:10.1016/0025-5564(89)90021-7.

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2391946.pdf (Publisher version), 998KB
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Demetrius, L.1, Author              
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1Abteilung Biochemische Kinetik, MPI for biophysical chemistry, Max Planck Society, ou_578616              

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 Abstract: This paper is concerned with the connection between two classes of population variables: measures of population growth rate—the Malthusian parameter, the net reproduction rate, the gross reproduction rate, and the mean life expectancy; and measures of demographic heterogeneity—population entropy. It is shown that the entropy functions predict the response of the growth rate parameters to perturbations in the age-specific fecundity and mortality schedule. These results are invoked to introduce the notion of environmental intensity. The intensity function, expressed in terms of the entropy parameters, is applied to give a comparative study of the effect of environmental factors on the dynamics of Swedish and French populations.

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Language(s): eng - English
 Dates: 1989-04
 Publication Status: Published in print
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 Rev. Type: Internal
 Identifiers: DOI: 10.1016/0025-5564(89)90021-7
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Title: Mathematical Biosciences
Source Genre: Journal
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Pages: - Volume / Issue: 93 (2) Sequence Number: - Start / End Page: 159 - 180 Identifier: -