Volume 30 - Article 56 | Pages 1561-1570

Is the fraction of people ever born who are currently alive rising or falling?

By Joel E. Cohen

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Date received:14 Dec 2013
Date published:16 May 2014
Word count:2266
Keywords:exponential, historical demography, people ever born, people ever lived, super-exponential
DOI:10.4054/DemRes.2014.30.56
Weblink:All publications in the ongoing Special Collection 8 "Formal Relationships" can be found at http://www.demographic-research.org/special/8/
 

Abstract

Background: Some journalists and demographers have asked: How many people have ever been born? What is the fraction F(t) of those ever born up to calendar year t who are alive at t? The conditions under which F(t) rises or falls appear never to have been analyzed.

Objective: We determine under what conditions F(t) rises or falls.

Methods: We analyze this question in the model-free context of current vital statistics and demographic estimates and in the context of several demographic models.

Results: At present F(t) is very probably increasing. Stationary, declining, and exponentially growing population models are incapable of increasing F(t), but a doomsday model and a super-exponential model generate both increasing and decreasing F(t).

Conclusions: If the world's human population reaches stationarity or declines, as many people expect within a century, the presently rising fraction of people ever born who are now alive will begin to fall.

Comments: It is curious that nearly all empirical estimates of the number of people ever born assume exponential population growth, which cannot explain increasing F(t).

Author's Affiliation

Joel E. Cohen - Rockefeller University, United States of America [Email]

Other articles by the same author/authors in Demographic Research

» Life expectancy: Lower and upper bounds from surviving fractions and remaining life expectancy
Volume 24 - Article 11

» Life expectancy is the death-weighted average of the reciprocal of the survival-specific force of mortality
Volume 22 - Article 5

» Constant global population with demographic heterogeneity
Volume 18 - Article 14

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