The Life Table Population Identity

Discovery, Formulations, Proof, Extensions, and Applications

James R. Carey, Sarah Silverman, Arni S R Rao

Research output: Chapter in Book/Report/Conference proceedingChapter

1 Citation (Scopus)

Abstract

The life table population identity was first discovered by Nicolas Brouard in the mid-1980s but brought into the mainstream demographic literature when rediscovered by James Carey in the early 2000s in the context of fruit fly demography. Based on the assumption of stationarity, the identity states that the fraction age x in a population equals the fraction with x years to live. The purpose of this chapter is to describe the contexts within which both Brouard and Carey discovered the identity, present a proof, three extensions, and two applications, the latter of which involves estimation of mean age and age structure in wild fruit fly populations. At the end we discuss the relevance of the identity to demography in general and to human demography in particular.

Original languageEnglish (US)
Title of host publicationHandbook of Statistics
EditorsArni S.R. Srinivasa Rao, C.R. Rao
PublisherElsevier B.V.
Pages155-186
Number of pages32
ISBN (Print)9780444640727
DOIs
StatePublished - Jan 1 2018

Publication series

NameHandbook of Statistics
Volume39
ISSN (Print)0169-7161

Fingerprint

Life Table
Fruits
Demography
Formulation
Fruit
Age Structure
Stationarity
Context

Keywords

  • Age-structure theorems
  • Brouard's Theorem
  • Carey's Equality
  • Life table populations
  • Nonstationary populations
  • Stationary populations

ASJC Scopus subject areas

  • Statistics and Probability
  • Modeling and Simulation
  • Applied Mathematics

Cite this

Carey, J. R., Silverman, S., & Rao, A. S. R. (2018). The Life Table Population Identity: Discovery, Formulations, Proof, Extensions, and Applications. In A. S. R. Srinivasa Rao, & C. R. Rao (Eds.), Handbook of Statistics (pp. 155-186). (Handbook of Statistics; Vol. 39). Elsevier B.V.. https://doi.org/10.1016/bs.host.2018.08.002

The Life Table Population Identity : Discovery, Formulations, Proof, Extensions, and Applications. / Carey, James R.; Silverman, Sarah; Rao, Arni S R.

Handbook of Statistics. ed. / Arni S.R. Srinivasa Rao; C.R. Rao. Elsevier B.V., 2018. p. 155-186 (Handbook of Statistics; Vol. 39).

Research output: Chapter in Book/Report/Conference proceedingChapter

Carey, JR, Silverman, S & Rao, ASR 2018, The Life Table Population Identity: Discovery, Formulations, Proof, Extensions, and Applications. in ASR Srinivasa Rao & CR Rao (eds), Handbook of Statistics. Handbook of Statistics, vol. 39, Elsevier B.V., pp. 155-186. https://doi.org/10.1016/bs.host.2018.08.002
Carey JR, Silverman S, Rao ASR. The Life Table Population Identity: Discovery, Formulations, Proof, Extensions, and Applications. In Srinivasa Rao ASR, Rao CR, editors, Handbook of Statistics. Elsevier B.V. 2018. p. 155-186. (Handbook of Statistics). https://doi.org/10.1016/bs.host.2018.08.002
Carey, James R. ; Silverman, Sarah ; Rao, Arni S R. / The Life Table Population Identity : Discovery, Formulations, Proof, Extensions, and Applications. Handbook of Statistics. editor / Arni S.R. Srinivasa Rao ; C.R. Rao. Elsevier B.V., 2018. pp. 155-186 (Handbook of Statistics).
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