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Revivorship and life lost to mortality

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  • Carl Schmertmann

    (Florida State University)

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.

Suggested Citation

  • Carl Schmertmann, 2020. "Revivorship and life lost to mortality," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 42(17), pages 497-512.
    • Handle: RePEc:dem:demres:v:42:y:2020:i:17
    DOI: 10.4054/DemRes.2020.42.17
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    References listed on IDEAS

    as
    1. James Vaupel & Vladimir Romo, 2003. "Decomposing change in life expectancy: A bouquet of formulas in honor of Nathan Keyfitz’s 90th birthday," Demography, Springer;Population Association of America (PAA), vol. 40(2), pages 201-216, May.
    2. James Vaupel & Anatoli Yashin, 1987. "Repeated resuscitation: How lifesaving alters life tables," Demography, Springer;Population Association of America (PAA), vol. 24(1), pages 123-135, February.
    3. James W. Vaupel & Zhen Zhang, 2012. "The difference between alternative averages," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 27(15), pages 419-428.
    4. Finkelstein, Maxim, 2013. "Lifesaving, delayed deaths and cure in mortality modeling," Theoretical Population Biology, Elsevier, vol. 83(C), pages 15-19.
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    Cited by:

    1. Bonetti, Marco & Basellini, Ugofilippo & NIGRI, ANDREA, 2023. "The Average Uneven Mortality index: Building on the "e-dagger" measure of lifespan inequality," SocArXiv xb6vq, Center for Open Science.
    2. Marco Bonetti & Ugofilippo Basellini & Andrea Nigri, 2024. "The Average Uneven Mortality index: Building on the ‘e-dagger’ measure of lifespan inequality," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 50(44), pages 1281-1300.

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    More about this item

    Keywords

    mortality; life left; revival;
    All these keywords.

    JEL classification:

    • J1 - Labor and Demographic Economics - - Demographic Economics
    • Z0 - Other Special Topics - - General

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