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The dangers of drawing cohort profiles from period data: a research note

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  • van Raalte, Alyson A

    (Max Planck Institute for Demographic Research)

  • Basellini, Ugofilippo
  • Camarda, Carlo Giovanni
  • Nepomuceno, Marília
  • Myrskylä, Mikko

Abstract

Drawing cohort profiles and cohort forecasts from grids of age-period data is common practice in demography. In this research note, we: (1) estimate the bias in the cohort TFR and life expectancies calculated from such data, and (2) demonstrate that cohort Lee-Carter forecasts drawn from an age-period grid have implausible prediction intervals, especially when drawn from the upper and lower bounds of the time series parameter. These biases are surprisingly large, even when the cohort profiles are created from single-age, single-year period data. The danger is that we overinterpret deviations from expected trends, that in actual fact were induced by our own data manipulation.

Suggested Citation

  • van Raalte, Alyson A & Basellini, Ugofilippo & Camarda, Carlo Giovanni & Nepomuceno, Marília & Myrskylä, Mikko, 2022. "The dangers of drawing cohort profiles from period data: a research note," SocArXiv frkcw, Center for Open Science.
    • Handle: RePEc:osf:socarx:frkcw
    DOI: 10.31219/osf.io/frkcw
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    1. Ugofilippo Basellini & Søren Kjærgaard & Carlo Giovanni Camarda, 2020. "An age-at-death distribution approach to forecast cohort mortality," Working Papers axafx5_3agsuwaphvlfk, French Institute for Demographic Studies.
    2. Tobias Vogt & Alyson van Raalte & Pavel Grigoriev & Mikko Myrskylä, 2017. "The German East-West Mortality Difference: Two Crossovers Driven by Smoking," Demography, Springer;Population Association of America (PAA), vol. 54(3), pages 1051-1071, June.
    3. Samuel Preston & Haidong Wang, 2006. "Sex mortality differences in The United States: The role of cohort smoking patterns," Demography, Springer;Population Association of America (PAA), vol. 43(4), pages 631-646, November.
    4. Caroline Sten Hartnett & Alison Gemmill, 2020. "Recent Trends in U.S. Childbearing Intentions," Demography, Springer;Population Association of America (PAA), vol. 57(6), pages 2035-2045, December.
    5. Rizzi, Silvia & Kjærgaard, Søren & Bergeron Boucher, Marie-Pier & Camarda, Carlo Giovanni & Lindahl-Jacobsen, Rune & Vaupel, James W., 2021. "Killing off cohorts: Forecasting mortality of non-extinct cohorts with the penalized composite link model," International Journal of Forecasting, Elsevier, vol. 37(1), pages 95-104.
    6. Ronald Lee & Timothy Miller, 2001. "Evaluating the performance of the lee-carter method for forecasting mortality," Demography, Springer;Population Association of America (PAA), vol. 38(4), pages 537-549, November.
    7. Basellini, Ugofilippo & Kjærgaard, Søren & Camarda, Carlo Giovanni, 2020. "An age-at-death distribution approach to forecast cohort mortality," Insurance: Mathematics and Economics, Elsevier, vol. 91(C), pages 129-143.
    8. Ugofilippo Basellini & Carlo Giovanni Camarda, 2019. "Modelling and forecasting adult age-at-death distributions," Population Studies, Taylor & Francis Journals, vol. 73(1), pages 119-138, January.
    9. Carlo Giovanni Camarda, 2019. "Smooth constrained mortality forecasting," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 41(38), pages 1091-1130.
    10. Mikko Myrskylä & Joshua R. Goldstein & Yen-hsin Alice Cheng, 2013. "New Cohort Fertility Forecasts for the Developed World: Rises, Falls, and Reversals," Population and Development Review, The Population Council, Inc., vol. 39(1), pages 31-56, March.
    11. Chiou, Jeng-Min & Müller, Hans-Georg, 2009. "Modeling Hazard Rates as Functional Data for the Analysis of Cohort Lifetables and Mortality Forecasting," Journal of the American Statistical Association, American Statistical Association, vol. 104(486), pages 572-585.
    12. Ronald Lee, 2000. "The Lee-Carter Method for Forecasting Mortality, with Various Extensions and Applications," North American Actuarial Journal, Taylor & Francis Journals, vol. 4(1), pages 80-91.
    13. Victor Agadjanian & Ndola Prata, 2002. "War, peace, and fertility in Angola," Demography, Springer;Population Association of America (PAA), vol. 39(2), pages 215-231, May.
    14. Kirill F. Andreev & James W. Vaupel, 2006. "Forecasts of cohort mortality after age 50," MPIDR Working Papers WP-2006-012, Max Planck Institute for Demographic Research, Rostock, Germany.
    15. Renshaw, A.E. & Haberman, S., 2006. "A cohort-based extension to the Lee-Carter model for mortality reduction factors," Insurance: Mathematics and Economics, Elsevier, vol. 38(3), pages 556-570, June.
    16. Carter, Lawrence R. & Lee, Ronald D., 1992. "Modeling and forecasting US sex differentials in mortality," International Journal of Forecasting, Elsevier, vol. 8(3), pages 393-411, November.
    17. Brunner, Beatrice & Kuhn, Andreas, 2011. "Financial Incentives, the Timing of Births, Birth Complications, and Newborns' Health: Evidence from the Abolition of Austria's Baby Bonus," IZA Discussion Papers 6141, Institute of Labor Economics (IZA).
    18. David Lindstrom & Betemariam Berhanu, 1999. "The impact of war, famine, and economic decline on marital fertility in ethiopia," Demography, Springer;Population Association of America (PAA), vol. 36(2), pages 247-261, May.
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