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Decomposing demographic change into direct vs. compositional components

Author

Listed:
  • James W. Vaupel

    (Syddansk Universitet)

  • Vladimir Canudas-Romo

    (Australian National University)

Abstract

We present and prove a formula for decomposing change in a population average into two components. One component captures the effect of direct change in the characteristic of interest, and the other captures the effect of compositional change. The decomposition is applied to time derivatives of averages over age and over subpopulations. Examples include decomposition of the change over time in the average age at childbearing and in the general fertility rate for China, Denmark and Mexico. A decomposition of the change over time in the crude death rate in Denmark, Germany and the Netherlands is also presented. Other examples concern global life expectancy and the growth rate of the population of the world.

Suggested Citation

  • James W. Vaupel & Vladimir Canudas-Romo, 2002. "Decomposing demographic change into direct vs. compositional components," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 7(1), pages 1-14.
    • Handle: RePEc:dem:demres:v:7:y:2002:i:1
    DOI: 10.4054/DemRes.2002.7.1
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    References listed on IDEAS

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    1. Samuel Preston & Christine Himes & Mitchell Eggers, 1989. "Demographic Conditions Responsible for Population Aging," Demography, Springer;Population Association of America (PAA), vol. 26(4), pages 691-704, November.
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    Cited by:

    1. Thomas B. Foster, 2017. "Decomposing American immobility: Compositional and rate components of interstate, intrastate, and intracounty migration and mobility decline," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 37(47), pages 1515-1548.
    2. Elwood Carlson, 2006. "Ages of origin and destination for a difference in life expectancy," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 14(11), pages 217-236.
    3. Markus Sauerberg, 2020. "The Role of Education for Assessing Population Health: An Analysis of Healthy Life Expectancy by Educational Attainment for 16 European Countries," VID Working Papers 2005, Vienna Institute of Demography (VID) of the Austrian Academy of Sciences in Vienna.
    4. Roland Rau & Gabriele Doblhammer & Vladimir Canudas-Romo & Zhang Zhen, 2008. "Cause-of-Death Contributions to Educational Inequalities in Mortality in Austria between 1981/1982 and 1991/1992," European Journal of Population, Springer;European Association for Population Studies, vol. 24(3), pages 265-286, September.
    5. Marie-Pier Bergeron-Boucher & Jim Oeppen & Niels Vilstrup Holm & Hanne Melgaard Nielsen & Rune Lindahl-Jacobsen & Maarten Jan Wensink, 2019. "Understanding Differences in Cancer Survival between Populations: A New Approach and Application to Breast Cancer Survival Differentials between Danish Regions," IJERPH, MDPI, vol. 16(17), pages 1-16, August.
    6. Brantley Liddle, 2003. "Demographic dynamics and per capita environmental impact: using panel regressions and household decompositions to examine population and transport," MPIDR Working Papers WP-2003-029, Max Planck Institute for Demographic Research, Rostock, Germany.
    7. Robert Schoen & Vladimir Canudas-Romo, 2005. "Changing mortality and average cohort life expectancy," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 13(5), pages 117-142.
    8. Glenn Firebaugh & Francesco Acciai & Aggie Noah & Christopher J Prather & Claudia Nau, 2014. "Why the racial gap in life expectancy is declining in the United States," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 31(32), pages 975-1006.
    9. Roland Rau & Magdalena Muszyńska-Spielauer & Paul Eilers, 2013. "Minor gradient in mortality by education at the highest ages," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 29(19), pages 507-520.
    10. Elke Loichinger & Alexia Prskawetz, 2017. "Changes in economic activity: The role of age and education," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 36(40), pages 1185-1208.
    11. Roland Rau & Gabriele Doblhammer, 2003. "Seasonal mortality in Denmark: the role of sex and age," MPIDR Working Papers WP-2003-014, Max Planck Institute for Demographic Research, Rostock, Germany.
    12. 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.
    13. Roland Rau & Gabriele Doblhammer, 2003. "Seasonal mortality in Denmark," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 9(9), pages 197-222.
    14. Alexia Prskawetz & Barbara Zagaglia & Thomas Fent & Vegard Skirbekk, 2005. "Decomposing the change in labour force indicators over time," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 13(7), pages 163-188.
    15. Audrey Ugarte & Onofre Alves Simões, 2020. "Breaking Life Expectancy into Small Pieces," Working Papers REM 2020/0154, ISEG - Lisbon School of Economics and Management, REM, Universidade de Lisboa.
    16. Henseke, Golo & Tivig, Thusnelda, 2013. "Alterung in Berufen: Der Beitrag ökonomischer Einflüsse," VfS Annual Conference 2013 (Duesseldorf): Competition Policy and Regulation in a Global Economic Order 80001, Verein für Socialpolitik / German Economic Association.

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    More about this item

    Keywords

    formal demography; decomposition; derivatives of averages; components of change;
    All these keywords.

    JEL classification:

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

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