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Assessment of cross-sectional and longitudinal components of a difference with an algorithm of contour replacement

Author

Listed:
  • Dmitri A. Jdanov

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

  • Vladimir M. Shkolnikov

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

Abstract

This study proposes a new decomposition method which permits a difference in an aggregate measure at a final time point to be split into additive components corresponding to the initial differences in the event-rates of the measure and differences in trends in these underlying event-rates. The method is an extension of the existing algorithm of stepwise replacement. We provide a full description of the method and two examples of its application with mortality and fertility data. The outcome of these two decompositions are: 1) age-specific contributions of initial conditions and trends to the Japan-USA life expectancy gap in 2009 with a reference time point at 1970; and 2) age-specific contributions of initial conditions and trends to the difference in Czech-Russian age variations in fertility for the 1970 female birth cohorts with reference to the 1955 cohorts.

Suggested Citation

  • Dmitri A. Jdanov & Vladimir M. Shkolnikov, 2014. "Assessment of cross-sectional and longitudinal components of a difference with an algorithm of contour replacement," MPIDR Working Papers WP-2014-010, Max Planck Institute for Demographic Research, Rostock, Germany.
    • Handle: RePEc:dem:wpaper:wp-2014-010
    DOI: 10.4054/MPIDR-WP-2014-010
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    References listed on IDEAS

    as
    1. Evgeny M. Andreev & Vladimir Shkolnikov & Alexander Begun, 2002. "Algorithm for decomposition of differences between aggregate demographic measures and its application to life expectancies, healthy life expectancies, parity-progression ratios and total fertility rat," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 7(14), pages 499-522.
    2. Vladimir Shkolnikov & Evgeny Andreev & Zhen Zhang & James Oeppen & James Vaupel, 2011. "Losses of Expected Lifetime in the United States and Other Developed Countries: Methods and Empirical Analyses," Demography, Springer;Population Association of America (PAA), vol. 48(1), pages 211-239, February.
    3. repec:cai:popine:popu_p1985_40n4-5_0770 is not listed on IDEAS
    4. Shiro Horiuchi & John Wilmoth & Scott Pletcher, 2008. "A decomposition method based on a model of continuous change," Demography, Springer;Population Association of America (PAA), vol. 45(4), pages 785-801, November.
    5. Hiram Beltran-Sanchez & Samuel Preston & Vladimir Canudas-Romo, 2008. "An integrated approach to cause-of-death analysis: cause-deleted life tables and decompositions of life expectancy," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 19(35), pages 1323-1350.
    6. Alyson Raalte & Hal Caswell, 2013. "Perturbation Analysis of Indices of Lifespan Variability," Demography, Springer;Population Association of America (PAA), vol. 50(5), pages 1615-1640, October.
    7. Evgeny M. Andreev & Vladimir M. Shkolnikov & Alexander Z. Begun, 2002. "Algorithm for decomposition of differences between aggregate demographic measures and its application to life expectancies, Gini coefficients, health expectancies, parity-progression ratios and total ," MPIDR Working Papers WP-2002-035, Max Planck Institute for Demographic Research, Rostock, Germany.
    8. Eduardo Arriaga, 1984. "Measuring and explaining the change in life expectancies," Demography, Springer;Population Association of America (PAA), vol. 21(1), pages 83-96, February.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    JEL classification:

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

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