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Estimation of the combined effects of ageing and seasonality on mortality risk: An application to Spain

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  • Jose M. Pavía
  • Josep Lledó

Abstract

Despite the overwhelming evidence that shows the persistence of intra‐annual variations on demographic events (deaths, birth dates and migration flows), life tables are computed and provided on an annual basis. This paper develops a new estimator for estimating sub‐annual death rates that, considering the exact moment of occurrence (exact age and day) of events, concurrently accounts for ageing and calendar fluctuations. This paper also shows how modelling the intra‐annual variations of death rates, through specific seasonal–ageing indexes, can be used as a tool for constructing new sub‐annual tables from annual tables. This new methodology is exemplified using a real database of Spain made up of 186 million demographic events (1.5 million of which are deaths), from which seasonal–ageing indexes are estimated and conclusions drawn. First, seasonal effects are, as a rule, stronger than ageing effects. For a given integer age, season has a higher impact on increasing or decreasing the average risk of death at that age than the actual age of the exposed‐to‐risk. Second, the intensity of the effects varies among seasons and age‐quarters. Third, neither seasonal nor ageing effects are age‐stationary. Their impact, be it to varying degrees, intensifies as people get older. Fourth, there is interaction between seasonal and ageing effects. In short, life expectancies and probabilities of dying/surviving not only depend on people's age, but also on when their birthday falls within the year. This has implications, for instance, in managing pension systems or for insurance companies.

Suggested Citation

  • Jose M. Pavía & Josep Lledó, 2022. "Estimation of the combined effects of ageing and seasonality on mortality risk: An application to Spain," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 185(2), pages 471-497, April.
    • Handle: RePEc:bla:jorssa:v:185:y:2022:i:2:p:471-497
    DOI: 10.1111/rssa.12769
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    1. Andrew J. G. Cairns & David Blake & Kevin Dowd & Amy R. Kessler, 2016. "Phantoms never die: living with unreliable population data," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 179(4), pages 975-1005, October.
    2. Olivier Deschênes & Michael Greenstone, 2011. "Climate Change, Mortality, and Adaptation: Evidence from Annual Fluctuations in Weather in the US," American Economic Journal: Applied Economics, American Economic Association, vol. 3(4), pages 152-185, October.
    3. Chen, An & Guillen, Montserrat & Vigna, Elena, 2018. "Solvency Requirement In A Unisex Mortality Model," ASTIN Bulletin, Cambridge University Press, vol. 48(3), pages 1219-1243, September.
    4. Claudiu Herteliu & Bogdan Vasile Ileanu & Marcel Ausloos & Giulia Rotundo, 2015. "Effect of religious rules on time of conception in Romania from 1905 to 2001," Papers 1509.04564, arXiv.org, revised Oct 2015.
    5. Frostig, Esther, 2003. "Properties of the power family of fractional age approximations," Insurance: Mathematics and Economics, Elsevier, vol. 33(1), pages 163-171, August.
    6. Cătălin Emilian Boja & Claudiu Herţeliu & Marian Dârdală & Bogdan Vasile Ileanu, 2018. "Day of the week submission effect for accepted papers in Physica A, PLOS ONE, Nature and Cell," Scientometrics, Springer;Akadémiai Kiadó, vol. 117(2), pages 887-918, November.
    7. Jones, Bruce L. & Mereu, John A., 2000. "A family of fractional age assumptions," Insurance: Mathematics and Economics, Elsevier, vol. 27(2), pages 261-276, October.
    8. Clark Gray & Richard Bilsborrow, 2013. "Environmental Influences on Human Migration in Rural Ecuador," Demography, Springer;Population Association of America (PAA), vol. 50(4), pages 1217-1241, August.
    9. Esther Frostig, 2002. "Comparison Between Future Lifetime Distribution and Its Approximations," North American Actuarial Journal, Taylor & Francis Journals, vol. 6(2), pages 11-17.
    10. Cairns, Andrew J.G. & Blake, David & Dowd, Kevin & Coughlan, Guy D. & Khalaf-Allah, Marwa, 2011. "Bayesian Stochastic Mortality Modelling for Two Populations," ASTIN Bulletin, Cambridge University Press, vol. 41(1), pages 29-59, May.
    11. David Lam & Jeffrey Miron, 1996. "The effects of temperature on human fertility," Demography, Springer;Population Association of America (PAA), vol. 33(3), pages 291-305, August.
    12. Haberman, Steven & Renshaw, Arthur, 2012. "Parametric mortality improvement rate modelling and projecting," Insurance: Mathematics and Economics, Elsevier, vol. 50(3), pages 309-333.
    13. Jones, Bruce L. & Mereu, John A., 2002. "A critique of fractional age assumptions," Insurance: Mathematics and Economics, Elsevier, vol. 30(3), pages 363-370, June.
    14. Börger, Matthias & Fleischer, Daniel & Kuksin, Nikita, 2014. "Modeling The Mortality Trend Under Modern Solvency Regimes," ASTIN Bulletin, Cambridge University Press, vol. 44(1), pages 1-38, January.
    15. Jose M. Pavía & Francisco G. Morillas & Juan Carlos Bosch-Rodríguez, 2019. "Using Parametric Bootstrap to Introduce and Manage Uncertainty: Replicated Loaded Insurance Life Tables," North American Actuarial Journal, Taylor & Francis Journals, vol. 23(3), pages 434-446, July.
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