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The relationship between longevity and lifespan variation

Author

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  • Andrea Nigri

    (Universita degli Studi di Roma La Sapienza Dipartimento di Scienze Statistiche)

  • Elisabetta Barbi

    (Universita degli Studi di Roma La Sapienza Dipartimento di Scienze Statistiche)

  • Susanna Levantesi

    (Universita degli Studi di Roma La Sapienza Dipartimento di Scienze Statistiche)

Abstract

This paper contributes to the current discussion on longevity by investigating the long-term dynamics of life expectancy, and lifespan variation. The analysis provides the expectiles of the life expectancy distribution, relating them to the values of lifespan variation measured by Keyfitz’s index. This allows us to study both the location and the spread of the life expectancy over time in light of the mortality compression process. Using cointegration analysis, we also explore the long-term dynamics between the two longevity measures in some selected developed countries. Overall, we found evidence of a negative relationship between longevity and lifespan variation, thus confirming previous studies. While, by detecting untracked behaviors taking into account the country-specific contribution over time, this study suggests that the strength of this relationship varies across life expectancy distribution’ sections in which the country is located (i.e. specifically expectile), and how fast the country converges towards best performances.

Suggested Citation

  • Andrea Nigri & Elisabetta Barbi & Susanna Levantesi, 2022. "The relationship between longevity and lifespan variation," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 31(3), pages 481-493, September.
    • Handle: RePEc:spr:stmapp:v:31:y:2022:i:3:d:10.1007_s10260-021-00584-4
    DOI: 10.1007/s10260-021-00584-4
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    1. Eileen Crimmins & Jung Kim & Sarinnapha Vasunilashorn, 2010. "Biodemography: New approaches to understanding trendsand differences in population health and mortality," Demography, Springer;Population Association of America (PAA), vol. 47(1), pages 41-64, March.
    2. Väinö Kannisto, 2000. "Measuring the compression of mortality," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 3(6).
    3. Jacques Vallin & France Meslé, 2009. "The Segmented Trend Line of Highest Life Expectancies," Population and Development Review, The Population Council, Inc., vol. 35(1), pages 159-187, March.
    4. Pavel Grigoriev & France Meslé & Vladimir M. Shkolnikov & Evgeny Andreev & Agnieszka Fihel & Marketa Pechholdova & Jacques Vallin, 2014. "The Recent Mortality Decline in Russia: Beginning of the Cardiovascular Revolution?," Population and Development Review, The Population Council, Inc., vol. 40(1), pages 107-129, March.
    5. Arnold-Gaille, Séverine & Sherris, Michael, 2016. "International Cause-Specific Mortality Rates: New Insights From A Cointegration Analysis," ASTIN Bulletin, Cambridge University Press, vol. 46(1), pages 9-38, January.
    6. Engle, R. F. & Granger, C. W. J. (ed.), 1991. "Long-Run Economic Relationships: Readings in Cointegration," OUP Catalogue, Oxford University Press, number 9780198283393.
    7. Ryan D. Edwards & Shripad Tuljapurkar, 2005. "Inequality in Life Spans and a New Perspective on Mortality Convergence Across Industrialized Countries," Population and Development Review, The Population Council, Inc., vol. 31(4), pages 645-674, December.
    8. Jarner, Søren F. & Jallbjørn, Snorre, 2020. "Pitfalls and merits of cointegration-based mortality models," Insurance: Mathematics and Economics, Elsevier, vol. 90(C), pages 80-93.
    9. Koenker, Roger W & Bassett, Gilbert, Jr, 1978. "Regression Quantiles," Econometrica, Econometric Society, vol. 46(1), pages 33-50, January.
    10. Tim J. Boonen & Hong Li, 2017. "Modeling and Forecasting Mortality With Economic Growth: A Multipopulation Approach," Demography, Springer;Population Association of America (PAA), vol. 54(5), pages 1921-1946, October.
    11. Haberman, Steven & Khalaf-Allah, Marwa & Verrall, Richard, 2011. "Entropy, longevity and the cost of annuities," Insurance: Mathematics and Economics, Elsevier, vol. 48(2), pages 197-204, March.
    12. John Wilmoth & Shiro Horiuchi, 1999. "Rectangularization revisited: Variability of age at death within human populations," Demography, Springer;Population Association of America (PAA), vol. 36(4), pages 475-495, November.
    13. Jones, M. C., 1994. "Expectiles and M-quantiles are quantiles," Statistics & Probability Letters, Elsevier, vol. 20(2), pages 149-153, May.
    14. Elisabetta Barbi & Carlo G. Gamba, 2011. "Period and color effects on elderly mortality: a new relational model for smoothing mortality surface," Statistica, Department of Statistics, University of Bologna, vol. 71(1), pages 51-69.
    15. José Manuel Aburto & Francisco Villavicencio & Ugofilippo Basellini & Søren Kjærgaard & James W. Vaupel, 2020. "Dynamics of life expectancy and life span equality," Proceedings of the National Academy of Sciences, Proceedings of the National Academy of Sciences, vol. 117(10), pages 5250-5259, March.
    16. José Manuel Aburto & Alyson van Raalte, 2018. "Lifespan Dispersion in Times of Life Expectancy Fluctuation: The Case of Central and Eastern Europe," Demography, Springer;Population Association of America (PAA), vol. 55(6), pages 2071-2096, December.
    17. Newey, Whitney K & Powell, James L, 1987. "Asymmetric Least Squares Estimation and Testing," Econometrica, Econometric Society, vol. 55(4), pages 819-847, July.
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