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A unified framework of demographic time

Author

Listed:
  • Timothy Riffe

    (Max Planck Institute for Demographic Research, Rostock, Germany)

  • Jonas Schöley

    (Max Planck Institute for Demographic Research, Rostock, Germany)

  • Francisco Villavicencio

    (Max Planck Institute for Demographic Research, Rostock, Germany)

Abstract
Demographic thought and practice is largely conditioned by the Lexis diagram, a two-dimensional graphical representation of the identity between age, period, and birth cohort. This relationship does not account for remaining years of life or other related time measures, whose use in demographic research is both underrepresented and incompletely situated. We describe a three-dimensional relationship between six different measures of demographic time: chronological age, time to death, lifespan, time of birth, time of death, and period. We describe four identities among subsets of these six measures, and a full identity that relates the six of them. One of these identities is the age-period-cohort identity, while the other three are relatively novel. We provide a topological overview of the diagrams that pertain to these identities. The 3-d geometric representation of the full six-way identity is proposed as a coordinate system that fully describes temporal variation in demographic data. We offer this framework as an instrument to enable the discovery of yet-undescribed relationships and patterns in formal and empirical demography.

Suggested Citation

  • 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.
    • Handle: RePEc:dem:wpaper:wp-2015-008
    DOI: 10.4054/MPIDR-WP-2015-008
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    File URL: https://github.com/timriffe/APCT
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    File URL: https://www.demogr.mpg.de/papers/working/wp-2015-008.pdf
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    References listed on IDEAS

    as
    1. Christophe Vandeschrick, 2001. "The Lexis diagram, a misnomer," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 4(3), pages 97-124.
    2. 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.
    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. Timothy Riffe & Pil H. Chung & Jeroen J. A. Spijker & John MacInnes, 2015. "Time-to-death patterns in markers of age and dependency," MPIDR Working Papers WP-2015-003, Max Planck Institute for Demographic Research, Rostock, Germany.
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    Cited by:

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    More about this item

    Keywords

    demography;

    JEL classification:

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

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