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Research Article

A modal age at death approach to forecasting adult mortality

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Received 10 Nov 2022, Accepted 09 Oct 2023, Published online: 11 Apr 2024

References

  • Aburto, José Manuel and Alyson van Raalte. 2018. Lifespan dispersion in times of life expectancy fluctuation: The case of Central and Eastern Europe, Demography 55(6): 2071–2096. https://doi.org/10.1007/s13524-018-0729-9
  • Aburto, José Manuel, Jonas Schöley, Ilya Kashnitsky, Luyin Zhang, Charles Rahal, Trifon I. Missov, Melinda C. Mills, et al. 2022. Quantifying impacts of the COVID-19 pandemic through life-expectancy losses: A population-level study of 29 countries, International Journal of Epidemiology 51(1): 63–74. https://doi.org/10.1093/ije/dyab207
  • Aburto, José Manuel, Francisco Villavicencio, Ugofilippo Basellini, Søren Kjærgaard, and James W. Vaupel. 2020. Dynamics of life expectancy and life span equality, Proceedings of the National Academy of Sciences 117(10): 5250–5259. https://doi.org/10.1073/pnas.1915884117
  • Acciai, Francesco and Glenn Firebaugh. 2019. Twin consequences of rising U.S. death rates among young adults: Lower life expectancy and greater lifespan variability, Preventive Medicine 127: 105793. https://doi.org/10.1016/j.ypmed.2019.105793
  • Aitchison, John. 1982. The statistical analysis of compositional data, Journal of the Royal Statistical Society: Series B (Methodological) 44(2): 139–160. https://doi.org/10.1111/j.2517-6161.1982.tb01195.x
  • Aliverti, Emanuele, Stefano Mazzuco, and Bruno Scarpa. 2022. Dynamic modelling of mortality via mixtures of skewed distribution functions, Journal of the Royal Statistical Society Series A: Statistics in Society 185(3): 1030–1048. https://doi.org/10.1111/rssa.12808
  • Basellini, Ugofilippo and Carlo Giovanni Camarda. 2019. Modelling and forecasting adult age-at-death distributions, Population Studies 73(1): 119–138. https://doi.org/10.1080/00324728.2018.1545918
  • Basellini, Ugofilippo, Carlo Giovanni Camarda, and Heather Booth. 2023. Thirty years on: A review of the Lee–Carter method for forecasting mortality, International Journal of Forecasting 39(3): 1033–1049. https://doi.org/10.1016/j.ijforecast.2022.11.002
  • Bergeron-Boucher, Marie-Pier, Vladimir Canudas-Romo, James Oeppen, and James W. Vaupel. 2017. Coherent forecasts of mortality with compositional data analysis, Demographic Research 37: 527–566. https://doi.org/10.4054/DemRes.2017.37.17
  • Bergeron-Boucher, Marie-Pier, Marcus Ebeling, and Vladimir Canudas-Romo. 2015. Decomposing changes in life expectancy: Compression versus shifting mortality, Demographic Research 33: 391–424. https://doi.org/10.4054/DemRes.2015.33.14
  • Bergeron-Boucher, Marie-Pier, and Søren Kjærgaard. 2022. Mortality forecasting at age 65 and above: An age-specific evaluation of the Lee-Carter model, Scandinavian Actuarial Journal 2022(1): 64–79. https://doi.org/10.1080/03461238.2021.1928542
  • Bergeron-Boucher, Marie-Pier, Søren Kjærgaard, James Oeppen, and James W. Vaupel. 2019a. The impact of the choice of life table statistics when forecasting mortality, Demographic Research 41: 1235–1268. https://doi.org/10.4054/DemRes.2019.41.43
  • Bergeron-Boucher, Marie-Pier, Søren Kjærgaard, Marius D. Pascariu, José Manuel Aburto, Ugofilippo Basellini, Silvia Rizzi, and James W. Vaupel. 2019b. Alternative forecasts of Danish life expectancy, in Stefano Mazzuco and Nico Keilman (eds), Developments in Demographic Forecasting. Cham: Springer, pp. 131–151.
  • Bohk-Ewald, Christina, Marcus Ebeling, and Roland Rau. 2017. Lifespan disparity as an additional indicator for evaluating mortality forecasts, Demography 54(4): 1559–1577. https://doi.org/10.1007/s13524-017-0584-0
  • Bongaarts, John. 2009. Trends in senescent life expectancy, Population Studies 63(3): 203–213. https://doi.org/10.1080/00324720903165456
  • Booth, Heather. 2020. Coherent mortality forecasting with standards: Low mortality serves as a guide, in Stefano Mazzuco and Nico Keilman (eds), Developments in Demographic Forecasting. Cham, Switzerland: Springer, pp. 153–178.
  • Booth, Heather, R. J. Hyndman, Leonie Tickle, and Piet de Jong. 2006. Lee-Carter mortality forecasting: A multi-country comparison of variants and extensions, Demographic Research 15: 289–310. https://doi.org/10.4054/DemRes.2006.15.9
  • Booth, Heather, John Maindonald, and Len Smith. 2002. Applying Lee-Carter under conditions of variable mortality decline, Population Studies 56(3): 325–336. https://doi.org/10.1080/00324720215935
  • Brønnum-Hansen, Henrik. 2017. Socially disparate trends in lifespan variation: A trend study on income and mortality based on nationwide Danish register data, BMJ Open 7(5): e014489.
  • Cairns, Andrew, J. G. David Blake, and Kevin Dowd. 2006. A two-factor model for stochastic mortality with parameter uncertainty: Theory and calibration, Journal of Risk and Insurance 73(4): 687–718. https://doi.org/10.1111/j.1539-6975.2006.00195.x
  • Camarda, Carlo Giovanni. 2012. Mortalitysmooth: An R package for smoothing Poisson counts with P-splines, Journal of Statistical Software 50: 1–24.
  • Camarda, Carlo Giovanni and Ugofilippo Basellini. 2021. Smoothing, decomposing and forecasting mortality rates, European Journal of Population 37: 569–602. https://doi.org/10.1007/s10680-021-09582-4
  • Canudas-Romo, Vladimir. 2008. The modal age at death and the shifting mortality hypothesis, Demographic Research 19: 1179–1204. https://doi.org/10.4054/DemRes.2008.19.30
  • Canudas-Romo, Vladimir. 2010. Three measures of longevity: Time trends and record values, Demography 47(2): 299–312. https://doi.org/10.1353/dem.0.0098
  • Christensen, Kaare, Michael Davidsen, Knud Juel, Laust Hvas Mortensen, Roland Rau, and James W. Vaupel. 2010. The divergent life-expectancy trends in Denmark and Sweden and some potential explanations, in E.M. Crimmins, Samuel Preston and Barney Cohen (eds), International Differences in Mortality at Older Ages: Dimensions and Sources. Washington, DC: The National Academies Press, pp. 385–407.
  • Currie, Iain D. 2013. Smoothing constrained generalized linear models with an application to the Lee-Carter model, Statistical Modelling 13(1): 69–93. https://doi.org/10.1177/1471082X12471373
  • Diaconu, Viorela, Nadine Ouellette, and Robert Bourbeau. 2020. Modal lifespan and disparity at older ages by leading causes of death: A Canada-U.S. comparison, Journal of Population Research 37(4): 323–344. https://doi.org/10.1007/s12546-020-09247-9
  • Diaconu, Viorela, Nadine Ouellette, Carlo Giovanni Camarda, and Robert Bourbeau. 2016. Insight on ‘typical’ longevity: An analysis of the modal lifespan by leading causes of death in Canada, Demographic Research 35: 471–504. https://doi.org/10.4054/DemRes.2016.35.17
  • Edwards, Ryan D. and Shripad Tuljapurkar. 2005. Inequality in life spans and a new perspective on mortality convergence across industrialized countries, Population and Development Review 31(4): 645–674. https://doi.org/10.1111/j.1728-4457.2005.00092.x
  • Eilers, Paul H. C. and Brian D. Marx. 1996. Flexible smoothing with B-splines and penalties, Statistical Science 11(2): 89–102.
  • HMD. 2022. Human Mortality Database. University of California, Berkeley (USA), and Max Planck Institute for Demographic Research (Germany), Accessed on 6 September. www.mortality.org.
  • Horiuchi, Shiro, Nadine Ouellette, Karen S. L. Cheung, and Jean-Marie Robine. 2013. Modal age at death: Lifespan indicator in the era of longevity extension, Vienna Yearbook of Population Research 11: 37–69. https://doi.org/10.1553/populationyearbook2013s37
  • Hyndman, Rob J. and George Athanasopoulos. 2018. Forecasting: Principles and Practice. Melbourne, Australia: OTexts.
  • Hyndman, Rob J. and Md Shahid Ullah. 2007. Robust forecasting of mortality and fertility rates: A functional data approach, Computational Statistics & Data Analysis 51(10): 4942–4956. https://doi.org/10.1016/j.csda.2006.07.028
  • Hyndman, R. J., H. Booth, and F. Yasmeen. 2013. Coherent mortality forecasting: The product-ratio method with functional time series models, Demography 50(1): 261–283. https://doi.org/10.1007/s13524-012-0145-5
  • Hyndman, Rob J., Heather Booth, Leonie Tickle, and John Maindonald. 2012. Demography: Forecasting mortality, fertility, migration and population data. R package version 1.16.
  • Janssen, Fanny and Anton Kunst. 2007. The choice among past trends as a basis for the prediction of future trends in old-age mortality, Population Studies 61(3): 315–326. https://doi.org/10.1080/00324720701571632
  • Janssen, Fanny, Leo J. van Wissen, and Anton E. Kunst. 2013. Including the smoking epidemic in internationally coherent mortality projections, Demography 50(4): 1341–1362. https://doi.org/10.1007/s13524-012-0185-x
  • Kannisto, Vaino. 2001. Mode and dispersion of the length of life, Population: An English Selection 13(1): 159–171.
  • Keilman, Nico and Dinh Quang Pham. 2006. “Prediction intervals for Lee-Carter-based mortality forecasts.” European Population Conference, Liverpool.
  • King, Gary and Samir Soneji. 2011. The future of death in America, Demographic Research 25: 1–38. https://doi.org/10.4054/DemRes.2011.25.1
  • Kjærgaard, Søren, Yunus Emre Ergemen, Marie-Pier Bergeron-Boucher, Jim Oeppen, and Malene Kallestrup-Lamb. 2020. Longevity forecasting by socio-economic groups using compositional data analysis, Journal of the Royal Statistical Society Series A: Statistics in Society 183(3): 1167–1187. https://doi.org/10.1111/rssa.12555
  • Kjærgaard, Søren, Yunus Emre Ergemen, Malene Kallestrup-Lamb, Jim Oeppen, and Rune Lindahl-Jacobsen. 2019. Forecasting causes of death by using compositional data analysis: The case of cancer deaths, Journal of the Royal Statistical Society Series C: Applied Statistics 68(5): 1351–1370. https://doi.org/10.1111/rssc.12357
  • Lee, Ronald D. and Lawrence R. Carter. 1992. Modeling and forecasting US mortality, Journal of the American Statistical Association 87(419): 659–671.
  • Lee, Ronald and Timothy Miller. 2001. Evaluating the performance of the Lee-Carter method for forecasting mortality, Demography 38(4): 537–549. https://doi.org/10.1353/dem.2001.0036
  • Li, Nan and Ronald Lee. 2005. Coherent mortality forecasts for a group of populations: An extension of the Lee-Carter method, Demography 42(3): 575–594. https://doi.org/10.1353/dem.2005.0021
  • Li, Nan, Ronald Lee, and Patrick Gerland. 2013. Extending the Lee-Carter method to model the rotation of age patterns of mortality decline for long-term projections, Demography 50(6): 2037–2051. https://doi.org/10.1007/s13524-013-0232-2
  • Lindahl-Jacobsen, Rune, Roland Rau, Bernard Jeune, Vladimir Canudas-Romo, Adam Lenart, Kaare Christensen, and James W. Vaupel. 2016. Rise, stagnation, and rise of Danish women’s life expectancy, Proceedings of the National Academy of Sciences 113(15): 4015–4020. https://doi.org/10.1073/pnas.1602783113
  • Nigri, Andrea, Susanna Levantesi, and José Manuel Aburto. 2022. Leveraging deep neural networks to estimate age-specific mortality from life expectancy at birth, Demographic Research 47: 199–232. https://doi.org/10.4054/DemRes.2022.47.8
  • Oeppen, Jim. 2008. “Coherent forecasting of multiple-decrement life tables: A test using Japanese cause of death data.” European Population Conference (EPC), Barcelona.
  • Oeppen, Jim and James W. Vaupel. 2002. Broken limits to life expectancy, Science 296(5570): 1029–1031. https://doi.org/10.1126/science.1069675
  • Ouellette, Nadine and Robert Bourbeau. 2011. Changes in the age-at-death distribution in four low mortality countries: A nonparametric approach, Demographic Research 25: 595–628. https://doi.org/10.4054/DemRes.2011.25.19
  • Pascariu, Marius D., Ugofilippo Basellini, José Manuel Aburto, and Vladimir Canudas-Romo. 2020. The linear link: Deriving age-specific death rates from life expectancy, Risks 8(4): 109. https://doi.org/10.3390/risks8040109
  • Pascariu, Marius D., Vladimir Canudas-Romo, and James W. Vaupel. 2018. The double-gap life expectancy forecasting model, Insurance: Mathematics and Economics 78: 339–350. https://doi.org/10.1016/j.insmatheco.2017.09.011
  • Raftery, Adrian E., Nan Li, Hana Ševčíková, Patrick Gerland, and Gerhard K. Heilig. 2012. Bayesian probabilistic population projections for all countries, Proceedings of the National Academy of Sciences 109(35): 13915–13921. https://doi.org/10.1073/pnas.1211452109
  • Rau, Roland, Eugeny Soroko, Domantas Jasilionis, and James W. Vaupel. 2008. Continued reductions in mortality at advanced ages, Population and Development Review 34(4): 747–768. https://doi.org/10.1111/j.1728-4457.2008.00249.x
  • Rizzi, Silvia, Jutta Gampe, and Paul H. C. Eilers. 2015. Efficient estimation of smooth distributions from coarsely grouped data, American Journal of Epidemiology 182(2): 138–147. https://doi.org/10.1093/aje/kwv020
  • Rizzi, Silvia, Søren Kjærgaard, Marie-Pier Bergeron Boucher, Carlo Giovanni Camarda, Rune Lindahl-Jacobsen, and James W. Vaupel. 2021. Killing off cohorts: Forecasting mortality of non-extinct cohorts with the penalized composite link model, International Journal of Forecasting 37(1): 95–104. https://doi.org/10.1016/j.ijforecast.2020.03.003
  • Schöley, Jonas, José Manuel Aburto, Ilya Kashnitsky, Maxi Stella Kniffka, Luyin Zhang, Hannaliis Jaadla, Jennifer B. Dowd, and Ridhi Kashyap. 2022. Bounce backs amid continued losses: Life expectancy changes since COVID-19, medRxiv. https://doi.org/10.1101/2022.02.23.22271380
  • Ševčíková, Hana, Nan Li, Vladimíra Kantorová, Patrick Gerland, and Adrian E. Raftery. 2016. Age-specific mortality and fertility rates for probabilistic population projections, in R. Schoen (ed.), Dynamic Demographic Analysis. The Springer Series on Demographic Methods and Population Analysis. Cham: Springer, pp. 285–310.
  • Shang, Han Lin, Steven Haberman, and Ruofan Xu. 2022. Multi-population modelling and forecasting life-table death counts, Insurance: Mathematics and Economics 106: 239–253. https://doi.org/10.1016/j.insmatheco.2022.07.002
  • Torri, Tiziana and James W. Vaupel. 2012. Forecasting life expectancy in an international context, International Journal of Forecasting 28(2): 519–531. https://doi.org/10.1016/j.ijforecast.2011.01.009
  • Tuljapurkar, Shripad D. 2001. The final inequality: Variance of age at death, Journal of Population Research 18(2): 177–193.
  • van Raalte, Alyson A., Anton E. Kunst, Patrick Deboosere, Mall Leinsalu, Olle Lundberg, Pekka Martikainen, Bjørn Heine Strand, et al. 2011. More variation in lifespan in lower educated groups: Evidence from 10 European countries, International Journal of Epidemiology 40(6): 1703–1714. https://doi.org/10.1093/ije/dyr146
  • van Raalte, Alyson A., Isaac Sasson, and Pekka Martikainen. 2018. The case for monitoring life-span inequality, Science 362(6418): 1002–1004. https://doi.org/10.1126/science.aau5811
  • Vaupel, James W. and Vladimir Canudas-Romo. 2003. Decomposing change in life expectancy: A bouquet of formulas in honor of Nathan Keyfitz’s 90th birthday, Demography 40(2): 201–216. https://doi.org/10.1353/dem.2003.0018
  • Vaupel, James W., Francisco Villavicencio, and Marie-Pier Bergeron-Boucher. 2021. Demographic perspectives on the rise of longevity, Proceedings of the National Academy of Sciences 118(9): e2019536118. https://doi.org/10.1073/pnas.2019536118
  • Vaupel, James W., Zhen Zhang, and Alyson A. van Raalte. 2011. Life expectancy and disparity: An international comparison of life table data, BMJ Open 1(1): e000128. https://doi.org/10.1136/bmjopen-2011-000128
  • Woolf, Steven H. and Heidi Schoomaker. 2019. Life expectancy and mortality rates in the United States, 1959-2017, JAMA 322(20): 1996–2016. https://doi.org/10.1001/jama.2019.16932