Growth rate, population entropy, and perturbation theory.

Demetrius, L.

doi:10.1016/0025-5564(89)90021-7

Item

ITEM ACTIONSEXPORT

Add to Basket

Local TagsRelease HistoryDetailsSummary

Released

Journal Article

Growth rate, population entropy, and perturbation theory.

MPS-Authors

/persons/resource/persons50133

Demetrius, L.
Abteilung Biochemische Kinetik, MPI for biophysical chemistry, Max Planck Society;

External Resource

No external resources are shared

Fulltext (restricted access)

There are currently no full texts shared for your IP range.

Fulltext (public)

2391946.pdf
(Publisher version), 998KB

Supplementary Material (public)

There is no public supplementary material available

Citation

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

Cite as: https://hdl.handle.net/11858/00-001M-0000-002C-5CE1-9

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.