Volume 42 - Article 17 | Pages 497–512  

Revivorship and life lost to mortality

By Carl Schmertmann

This article is part of the ongoing Special Collection 8 „Formal Relationships“

Abstract

Background: Some formal demographic models describe mortality improvement in terms of averted deaths. In such models individuals who would have died in an earlier regime are instead revived and returned to the population to face the same age-specific mortality risks as the rest of the population. A closely related literature has examined inequality in terms of the number of years of potential life that are lost to deaths.

Objective: The paper combines several results from formal demography to illustrate the potential gains in life lived from a sequence of revivals, in which everyone is revived 0, 1, 2,. . . times.

Contribution: Mathematical analysis yields two new results: A generalization of Vaupel and Canudas-Romo’s e† index to second and higher-order revivals, and an analytical expression that relates gains from revivals to the covariance of remaining life expectancy and cumulative mortality.

Author’s Affiliation

• Carl Schmertmann - Florida State University, United States of America EMAIL

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Data errors in mortality estimation: Formal demographic analysis of under-registration, under-enumeration, and age misreporting
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D-splines: Estimating rate schedules using high-dimensional splines with empirical demographic penalties
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Stationary populations with below-replacement fertility
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Quadratic spline fits by nonlinear least squares
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A system of model fertility schedules with graphically intuitive parameters
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Estimating Parametric Fertility Models with Open Birth Interval Data
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