Growth rate, population entropy, and perturbation theory
type: Item
instance of: scholarly article
title: Growth rate, population entropy, and perturbation theory
zbMATH Open document ID: 0661.92017
DOI: 10.1016/0025-5564(89)90021-7
published in: Mathematical Biosciences
publication date: 1989-01-01T00:00:00Z
full work available at URL: 00-001M-0000-002C-5CE1-9
review text: 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.
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 92D40
zbMATH DE Number: 4081360
zbMATH Keywords: measures of population growth rate
zbMATH Keywords: Malthusian parameter
zbMATH Keywords: net reproduction rate
zbMATH Keywords: gross reproduction rate
zbMATH Keywords: mean life expectancy
zbMATH Keywords: measures of demographic heterogeneity
zbMATH Keywords: population entropy
zbMATH Keywords: entropy functions
zbMATH Keywords: perturbations
zbMATH Keywords: age-specific fecundity and mortality
zbMATH Keywords: environmental intensity
Wikidata QID: Q52536639
author: Lloyd Demetrius
MaRDI profile type: Publication
OpenAlex ID: W1979352303
cites work: Q3896875
cites work: The sensitivity of population growth rate to perturbations in the life cycle components
cites work: Demographic Parameters and Natural Selection
cites work: Measures of fitness and demographic stability.
cites work: Statistical mechanics and population biology
cites work: On the sensitivity of the intrinsic growth rate to changes in the age- specific birth and death rates
cites work: Q4673631
cites work: The effects of extra chances to live on life table functions
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description: scientific article; zbMATH DE number 4081360