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Modeling and Forecasting Health Expectancy: Theoretical Framework and Application

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Listed:
  • Istvan Majer
  • Ralph Stevens
  • Wilma Nusselder
  • Johan Mackenbach
  • Pieter Baal

Abstract

Life expectancy continues to grow in most Western countries; however, a major remaining question is whether longer life expectancy will be associated with more or fewer life years spent with poor health. Therefore, complementing forecasts of life expectancy with forecasts of health expectancies is useful. To forecast health expectancy, an extension of the stochastic extrapolative models developed for forecasting total life expectancy could be applied, but instead of projecting total mortality and using regular life tables, one could project transition probabilities between health states simultaneously and use multistate life table methods. In this article, we present a theoretical framework for a multistate life table model in which the transition probabilities depend on age and calendar time. The goal of our study is to describe a model that projects transition probabilities by the Lee-Carter method, and to illustrate how it can be used to forecast future health expectancy with prediction intervals around the estimates. We applied the method to data on the Dutch population aged 55 and older, and projected transition probabilities until 2030 to obtain forecasts of life expectancy, disability-free life expectancy, and probability of compression of disability. Copyright Population Association of America 2013

Suggested Citation

  • Istvan Majer & Ralph Stevens & Wilma Nusselder & Johan Mackenbach & Pieter Baal, 2013. "Modeling and Forecasting Health Expectancy: Theoretical Framework and Application," Demography, Springer;Population Association of America (PAA), vol. 50(2), pages 673-697, April.
  • Handle: RePEc:spr:demogr:v:50:y:2013:i:2:p:673-697
    DOI: 10.1007/s13524-012-0156-2
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    References listed on IDEAS

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    1. Wolfgang Lurz & Anne Goujon, 2001. "The World's Changing Human Capital Stock: Multi‐State Population Projections by Educational Attainment," Population and Development Review, The Population Council, Inc., vol. 27(2), pages 323-339, June.
    2. Eileen Crimmins & Mark Hayward & Aaron Hagedorn & Yasuhiko Saito & Nicolas Brouard, 2009. "Change in disability-free life expectancy for Americans 70 years old and older," Demography, Springer;Population Association of America (PAA), vol. 46(3), pages 627-646, August.
    3. David Blake & Pat Brockett & Samuel Cox & Richard MacMinn, 2011. "Longevity Risk and Capital Markets," North American Actuarial Journal, Taylor & Francis Journals, vol. 15(2), pages 141-149.
    4. Angus S. Deaton & Christina Paxson, 2004. "Mortality, Income, and Income Inequality over Time in Britain and the United States," NBER Chapters, in: Perspectives on the Economics of Aging, pages 247-286, National Bureau of Economic Research, Inc.
    5. Anja De Waegenaere & Bertrand Melenberg & Ralph Stevens, 2010. "Longevity Risk," De Economist, Springer, vol. 158(2), pages 151-192, June.
    6. Kenneth G. Manton & XiLiang Gu & Vicki L. Lamb, 2006. "Long‐Term Trends in Life Expectancy and Active Life Expectancy in the United States," Population and Development Review, The Population Council, Inc., vol. 32(1), pages 81-105, March.
    7. Andrew J. G. Cairns & David Blake & Kevin Dowd, 2006. "A Two‐Factor Model for Stochastic Mortality with Parameter Uncertainty: Theory and Calibration," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 73(4), pages 687-718, December.
    8. Nan Li & Ronald Lee, 2005. "Coherent mortality forecasts for a group of populations: An extension of the lee-carter method," Demography, Springer;Population Association of America (PAA), vol. 42(3), pages 575-594, August.
    9. Kevin Dowd & David Blake & Andrew Cairns, 2010. "Facing up to uncertain life expectancy: The longevity fan charts," Demography, Springer;Population Association of America (PAA), vol. 47(1), pages 67-78, February.
    10. Hyndman, Rob J. & Shahid Ullah, Md., 2007. "Robust forecasting of mortality and fertility rates: A functional data approach," Computational Statistics & Data Analysis, Elsevier, vol. 51(10), pages 4942-4956, June.
    11. Ben D. MacArthur & Richard O. C. Oreffo, 2005. "Bridging the gap," Nature, Nature, vol. 433(7021), pages 19-19, January.
    12. Yi Zeng & Kenneth C. Land & Zhenglian Wang & Danan Gu, 2010. "Household and population projections at sub-national levels: an extended cohort-component approach," MPIDR Working Papers WP-2010-028, Max Planck Institute for Demographic Research, Rostock, Germany.
    13. Manton, Kenneth G. & Stallard, Eric & Singer, Burt, 1992. "Projecting the future size and health status of the US elderly population," International Journal of Forecasting, Elsevier, vol. 8(3), pages 433-458, November.
    14. Wolfgang Lutz & Warren Sanderson & Sergei Scherbov, 1997. "Doubling of world population unlikely," Nature, Nature, vol. 387(6635), pages 803-805, June.
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    Cited by:

    1. David Blake & Marco Morales & Enrico Biffis & Yijia Lin & Andreas Milidonis, 2017. "Special Edition: Longevity 10 – The Tenth International Longevity Risk and Capital Markets Solutions Conference," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 84(S1), pages 515-532, April.
    2. Vermeer, Niels & Mastrogiacomo, Mauro & Van Soest, Arthur, 2016. "Demanding occupations and the retirement age," Labour Economics, Elsevier, vol. 43(C), pages 159-170.
    3. Maria Gheorghe & Werner Brouwer & Pieter Baal, 2015. "Did the health of the Dutch population improve between 2001 and 2008? Investigating age- and gender-specific trends in quality of life," The European Journal of Health Economics, Springer;Deutsche Gesellschaft für Gesundheitsökonomie (DGGÖ), vol. 16(8), pages 801-811, November.

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