Volume 22 - Article 36 | Pages 1143–1148

Total daily change with age equals average lifetime change

By James W. Vaupel

Print this page  Facebook  Twitter

 

 
Date received:22 Apr 2010
Date published:30 Jun 2010
Word count:644
Keywords:e dagger, Gompertz mortality, life expectancy, measures of senescence, population dynamics, stationary population
DOI:10.4054/DemRes.2010.22.36
Weblink:All publications in the ongoing Special Collection 8 "Formal Relationships" can be found at http://www.demographic-research.org/special/8/
 

Abstract

In a stationary population, the change with age in some characteristic at a point in time, summed over all the individuals in the population, equals the change in this characteristic, from the start to the end of the lifetime of each individual, averaged over all lifetimes of the individuals in the cohort.

Author's Affiliation

James W. Vaupel - Syddansk Universitet, Denmark

Other articles by the same author/authors in Demographic Research

» Outsurvival as a measure of the inequality of lifespans between two populations
Volume 44 - Article 35

» Onset of the old-age gender gap in survival
Volume 42 - Article 25

» The impact of the choice of life table statistics when forecasting mortality
Volume 41 - Article 43

» The threshold age of the lifetable entropy
Volume 41 - Article 4

» Life lived and left: Estimating age-specific survival in stable populations with unknown ages
Volume 39 - Article 37

» Coherent forecasts of mortality with compositional data analysis
Volume 37 - Article 17

» In Memoriam: Professor Jan M. Hoem
Volume 36 - Article 24

» Demographic characteristics of Sardinian centenarian genealogies: Preliminary results of the AKeA2 study
Volume 32 - Article 37

» The Gompertz force of mortality in terms of the modal age at death
Volume 32 - Article 36

» Maternal longevity is associated with lower infant mortality
Volume 31 - Article 42

» Unobserved population heterogeneity: A review of formal relationships
Volume 31 - Article 22

» The difference between alternative averages
Volume 27 - Article 15

» Attrition in heterogeneous cohorts
Volume 23 - Article 26

» Senescence vs. sustenance: Evolutionary-demographic models of aging
Volume 23 - Article 23

» Survival as a Function of Life Expectancy
Volume 21 - Article 29

» The age separating early deaths from late deaths
Volume 20 - Article 29

» Life lived and left: Carey’s equality
Volume 20 - Article 3

» Formal Relationships: Introduction and Orientation
Volume 20 - Article 1

» The relative tail of longevity and the mean remaining lifetime
Volume 14 - Article 7

» Lifesaving, lifetimes and lifetables
Volume 13 - Article 24

» Oldest Old Mortality in China
Volume 8 - Article 7

» Life Expectancy at Current Rates vs. Current Conditions: A Reflexion Stimulated by Bongaarts and Feeney’s "How Long Do We Live?"
Volume 7 - Article 8

» Decomposing demographic change into direct vs. compositional components
Volume 7 - Article 1

» Dr. Väinö Kannisto: A Reflexion
Volume 6 - Article 5

Most recent similar articles in Demographic Research

» Historical Addendum to "Life lived equals life left in stationary populations"
Volume 26 - Article 7    | Keywords: life expectancy, stationary population

» Life expectancy: Lower and upper bounds from surviving fractions and remaining life expectancy
Volume 24 - Article 11    | Keywords: life expectancy, stationary population

» Survival as a Function of Life Expectancy
Volume 21 - Article 29    | Keywords: life expectancy, stationary population

» Constant global population with demographic heterogeneity
Volume 18 - Article 14    | Keywords: life expectancy, stationary population

» How much time is left? International trends in parenthood expectancy
Volume 48 - Article 16    | Keywords: life expectancy

Articles

»Volume 22

 

Citations

 

 

Similar Articles

 

 

Jump to Article

Volume Page
Volume Article ID