Special Collection 8

Formal Relationships

Published 20 January 2009

Special Collection 8 is an ongoing project containing short reports on mathematical relationships in formal demography. The collection is edited by the current and founding Publishers of the journal, Joshua R. Goldstein and James W. Vaupel.

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20 January 2009 | formal relationship

Formal Relationships: Introduction and Orientation

Joshua Goldstein, James W. Vaupel

Volume: 20 Article ID: 1 Pages: 1-2
DOI: 10.4054/DemRes.2009.20.1

20 January 2009 | formal relationship

Life lived equals life left in stationary populations

Joshua Goldstein

Volume: 20 Article ID: 2 Pages: 3-6
DOI: 10.4054/DemRes.2009.20.2

20 January 2009 | formal relationship

Life lived and left: Carey’s equality

James W. Vaupel

Volume: 20 Article ID: 3 Pages: 7-10
DOI: 10.4054/DemRes.2009.20.3

29 May 2009 | formal relationship

The effect of changes in fertility on the age distribution of stable populations

Michel Guillot

Volume: 20 Article ID: 24 Pages: 595-598
DOI: 10.4054/DemRes.2009.20.24

18 June 2009 | formal relationship

The age separating early deaths from late deaths

Zhen Zhang, James W. Vaupel

Volume: 20 Article ID: 29 Pages: 721-730
DOI: 10.4054/DemRes.2009.20.29

18 November 2009 | formal relationship

The metastable birth trajectory

Robert Schoen

Volume: 21 Article ID: 25 Pages: 759-764
DOI: 10.4054/DemRes.2009.21.25

11 December 2009 | formal relationship

Survival as a Function of Life Expectancy

Maxim Finkelstein, James W. Vaupel

Volume: 21 Article ID: 29 Pages: 879-884
DOI: 10.4054/DemRes.2009.21.29

22 January 2010 | formal relationship

Life expectancy is the death-weighted average of the reciprocal of the survival-specific force of mortality

Joel E. Cohen

Volume: 22 Article ID: 5 Pages: 115-128
DOI: 10.4054/DemRes.2010.22.5

30 June 2010 | formal relationship

Total daily change with age equals average lifetime change

James W. Vaupel

Volume: 22 Article ID: 36 Pages: 1143-1148
DOI: 10.4054/DemRes.2010.22.36

09 July 2010 | formal relationship

Sensitivity of life disparity with respect to changes in mortality rates

Peter Wagner

Volume: 23 Article ID: 3 Pages: 63-72
DOI: 10.4054/DemRes.2010.23.3

07 September 2010 | formal relationship

Reproductive value, the stable stage distribution, and the sensitivity of the population growth rate to changes in vital rates

Hal Caswell

Volume: 23 Article ID: 19 Pages: 531-548
DOI: 10.4054/DemRes.2010.23.19

12 October 2010 | formal relationship

Attrition in heterogeneous cohorts

James W. Vaupel, Zhen Zhang

Volume: 23 Article ID: 26 Pages: 737-748
DOI: 10.4054/DemRes.2010.23.26

08 February 2011 | formal relationship

Life expectancy: Lower and upper bounds from surviving fractions and remaining life expectancy

Joel E. Cohen

Volume: 24 Article ID: 11 Pages: 251-256
DOI: 10.4054/DemRes.2011.24.11

15 March 2011 | formal relationship

Linking period and cohort life-expectancy linear increases in Gompertz proportional hazards models

Trifon I. Missov, Adam Lenart

Volume: 24 Article ID: 19 Pages: 455-468
DOI: 10.4054/DemRes.2011.24.19

10 May 2011 | formal relationship

The reproductive value as part of the shadow price of population

Gustav Feichtinger, Michael Kuhn, Alexia Prskawetz, Stefan Wrzaczek

Volume: 24 Article ID: 28 Pages: 709-718
DOI: 10.4054/DemRes.2011.24.28

10 June 2011 | formal relationship

Age-specific growth, reproductive values, and intrinsic r

Robert Schoen

Volume: 24 Article ID: 33 Pages: 825-830
DOI: 10.4054/DemRes.2011.24.33

18 April 2012 | formal relationship

Stationary populations with below-replacement fertility

Carl Schmertmann

Volume: 26 Article ID: 14 Pages: 319-330
DOI: 10.4054/DemRes.2012.26.14

06 March 2012 | formal relationship

Historical Addendum to "Life lived equals life left in stationary populations"

Joshua Goldstein

Volume: 26 Article ID: 7 Pages: 167-172
DOI: 10.4054/DemRes.2012.26.7

04 September 2012 | formal relationship

How life expectancy varies with perturbations in age-specific mortality

Tomasz Wrycza, Annette Baudisch

Volume: 27 Article ID: 13 Pages: 365-376
DOI: 10.4054/DemRes.2012.27.13

12 September 2012 | formal relationship

The difference between alternative averages

James W. Vaupel, Zhen Zhang

Volume: 27 Article ID: 15 Pages: 419-428
DOI: 10.4054/DemRes.2012.27.15

12 February 2013 | formal relationship

Gamma-Gompertz life expectancy at birth

Trifon I. Missov

Volume: 28 Article ID: 9 Pages: 259-270
DOI: 10.4054/DemRes.2013.28.9

 

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