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The force of mortality by life lived is the force of increment by life left in stationary populations

Author

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  • Tim Riffe

    (Euskal Herriko Unibertsitatea (University of the Basque Country))

Abstract

Background: The age distribution and remaining lifespan distribution are identical in stationary populations. The life table survival function is proportional to the age distribution in stationary populations. Objective: We provide an alternative interpretation of the life table when viewed by remaining years of life. Conclusions: The functions describing the mortality of birth cohorts over age are identical to the functions describing the growth of death cohorts as time to death decreases in stationary populations.

Suggested Citation

  • Tim Riffe, 2015. "The force of mortality by life lived is the force of increment by life left in stationary populations," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 32(29), pages 827-834.
    • Handle: RePEc:dem:demres:v:32:y:2015:i:29
    DOI: 10.4054/DemRes.2015.32.29
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    References listed on IDEAS

    as
    1. Tim Miller, 2001. "Increasing longevity and medicare expenditures," Demography, Springer;Population Association of America (PAA), vol. 38(2), pages 215-226, May.
    2. Joshua R. Goldstein, 2012. "Historical Addendum to "Life lived equals life left in stationary populations"," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 26(7), pages 167-172.
    3. Warren C. Sanderson & Sergei Scherbov, 2007. "A new perspective on population aging," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 16(2), pages 27-58.
    4. Joshua R. Goldstein, 2009. "Life lived equals life left in stationary populations," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 20(2), pages 3-6.
    5. Warren C. Sanderson & Sergei Scherbov, 2005. "Average remaining lifetimes can increase as human populations age," Nature, Nature, vol. 435(7043), pages 811-813, June.
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    Cited by:

    1. James W. Vaupel & Francisco Villavicencio, 2018. "Life lived and left: Estimating age-specific survival in stable populations with unknown ages," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 39(37), pages 991-1008.
    2. Timothy Riffe & Jonas Schöley & Francisco Villavicencio, 2015. "A unified framework of demographic time," MPIDR Working Papers WP-2015-008, Max Planck Institute for Demographic Research, Rostock, Germany.
    3. Timothy Riffe, 2015. "Renewal and stability in populations structured by remaining years of life," MPIDR Working Papers WP-2015-007, Max Planck Institute for Demographic Research, Rostock, Germany.

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    More about this item

    Keywords

    stationary population; age; mortality; fertility; formal demography;
    All these keywords.

    JEL classification:

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

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