IDEAS home Printed from https://ideas.repec.org/a/vid/yearbk/v11y2013i1p37-69.html
   My bibliography  Save this article

Modal age at death: lifespan indicator in the era of longevity extension

Author

Listed:
  • Shiro Horiuchi
  • Nadine Ouellette
  • Siu Lan Karen Cheung
  • Jean-Marie Robine

Abstract

This paper examines and demonstrates the importance of the adult modal age at death (M) in longevity research. Unlike life expectancy at birth (e0) and median age at death, M is determined solely by old-age mortality as far as mortality follows a bathtub curve. It represents the location of old-age death heap in the age distribution of deaths, and captures mortality shifts more accurately than conditional life expectancies such as e65. Although M may not be directly determined from erratic mortality data, a recently developed method for deriving M from the P-spline-smoothed mortality curve based on penalised Poisson likelihood is highly effective in estimating M. Patterns of trends and differentials in M can be noticeably different from those in other lifespan measures, as indicated in some examples. In addition, major mathematical models of adult mortality such as the Gompertz, logistic and Weibull models can be reformulated using M, which plays a critical role as the mortality level parameter in those models.

Suggested Citation

  • Shiro Horiuchi & Nadine Ouellette & Siu Lan Karen Cheung & Jean-Marie Robine, 2013. "Modal age at death: lifespan indicator in the era of longevity extension," Vienna Yearbook of Population Research, Vienna Institute of Demography (VID) of the Austrian Academy of Sciences in Vienna, vol. 11(1), pages 37-69.
    • Handle: RePEc:vid:yearbk:v:11:y:2013:i:1:p:37-69
    as

    Download full text from publisher

    File URL: https://austriaca.at/0xc1aa5576_0x00307bb4.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Michael Gurven & Hillard Kaplan, 2007. "Longevity Among Hunter‐ Gatherers: A Cross‐Cultural Examination," Population and Development Review, The Population Council, Inc., vol. 33(2), pages 321-365, June.
    2. Nadine Ouellette & Robert Bourbeau, 2011. "Changes in the age-at-death distribution in four low mortality countries: A nonparametric approach," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 25(19), pages 595-628.
    3. Vladimir Canudas-Romo, 2010. "Three measures of longevity: Time trends and record values," Demography, Springer;Population Association of America (PAA), vol. 47(2), pages 299-312, May.
    4. Anonymous, 1950. "Council of Europe," International Organization, Cambridge University Press, vol. 4(4), pages 689-694, November.
    5. Bert Kestenbaum, 1992. "A description of the extreme aged population based on improved medicare enrollment data," Demography, Springer;Population Association of America (PAA), vol. 29(4), pages 565-580, November.
    6. Anonymous, 1950. "Council of Europe," International Organization, Cambridge University Press, vol. 4(1), pages 149-153, February.
    7. Samuel Preston & Irma Elo & Ira Rosenwaike & Mark Hill, 1996. "African-american mortality at older ages: Results of a matching study," Demography, Springer;Population Association of America (PAA), vol. 33(2), pages 193-209, May.
    8. Siu Cheung & Jean-Marie Robine & Edward Tu & Graziella Caselli, 2005. "Three dimensions of the survival curve: horizontalization, verticalization, and longevity extension," Demography, Springer;Population Association of America (PAA), vol. 42(2), pages 243-258, May.
    9. John Bongaarts, 2005. "Long-range trends in adult mortality: Models and projection methods," Demography, Springer;Population Association of America (PAA), vol. 42(1), pages 23-49, February.
    10. Vladimir Canudas-Romo, 2008. "The modal age at death and the shifting mortality hypothesis," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 19(30), pages 1179-1204.
    11. Anonymous, 1950. "Council of Europe," International Organization, Cambridge University Press, vol. 4(3), pages 512-518, August.
    12. Anonymous, 1950. "Council of Europe," International Organization, Cambridge University Press, vol. 4(2), pages 333-335, May.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Chiara Micheletti & Francisco Villavicencio, 2024. "On the relationship between life expectancy, modal age at death, and the threshold age of the life table entropy," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 51(24), pages 763-788.
    2. Alessandro Feraldi & Virginia Zarulli & Stefano Mazzuco & Cristina Giudici, 2024. "Functional data analysis approach in population studies: an application to the gender gap in life expectancy," Quality & Quantity: International Journal of Methodology, Springer, vol. 58(6), pages 5125-5150, December.
    3. Jonas Šiaulys & Rokas Puišys, 2022. "Survival with Random Effect," Mathematics, MDPI, vol. 10(7), pages 1-17, March.
    4. Bergeron-Boucher, Marie-Pier & Vázquez-Castillo, Paola & Missov, Trifon, 2022. "A modal age at death approach to forecasting mortality," SocArXiv 5zr2k, Center for Open Science.
    5. Shang, Han Lin & Haberman, Steven & Xu, Ruofan, 2022. "Multi-population modelling and forecasting life-table death counts," Insurance: Mathematics and Economics, Elsevier, vol. 106(C), pages 239-253.
    6. Wen Su & Vladimir Canudas-Romo, 2024. "Cross-sectional Average Length of Life Entropy ( $${\mathcal{H}}_{\text{CAL}}$$ H CAL ): International Comparisons and Decompositions," European Journal of Population, Springer;European Association for Population Studies, vol. 40(1), pages 1-23, December.
    7. Elena Demuru & Viviana Egidi, 2016. "Adjusting prospective old-age thresholds by health status: empirical findings and implications. A case study of Italy," Vienna Yearbook of Population Research, Vienna Institute of Demography (VID) of the Austrian Academy of Sciences in Vienna, vol. 14(1), pages 131-154.
    8. Konstantinos N. Zafeiris, 2023. "Greece since the 1960s: the mortality transition revisited: a joinpoint regression analysis," Journal of Population Research, Springer, vol. 40(1), pages 1-31, March.
    9. Paola Vazquez-Castillo & Trifon Missov & Marie-Pier Bergeron-Boucher, 2024. "Longevity à la mode: A discretized derivative tests method for accurate estimation of the adult modal age at death," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 50(11), pages 325-346.
    10. Alfredo Omar Palafox-Roca, 2023. "Consumo óptimo en el retiro con diferentes leyes de mortalidad," Remef - Revista Mexicana de Economía y Finanzas Nueva Época REMEF (The Mexican Journal of Economics and Finance), Instituto Mexicano de Ejecutivos de Finanzas, IMEF, vol. 18(3), pages 1-30, Julio - S.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Viorela Diaconu & Nadine Ouellette & Robert Bourbeau, 2020. "Modal lifespan and disparity at older ages by leading causes of death: a Canada-U.S. comparison," Journal of Population Research, Springer, vol. 37(4), pages 323-344, December.
    2. Pinheiro, Pedro Cisalpino & Queiroz, Bernardo L, 2018. "Regional Disparities in Brazilian Adult Mortality: an analysis using Modal Age at Death (M) and Compression of Mortality (IQR)," OSF Preprints t2ey3, Center for Open Science.
    3. Lucia Zanotto & Vladimir Canudas-Romo & Stefano Mazzuco, 2021. "A Mixture-Function Mortality Model: Illustration of the Evolution of Premature Mortality," European Journal of Population, Springer;European Association for Population Studies, vol. 37(1), pages 1-27, March.
    4. Trifon Missov & Vladimir Canudas-Romo & James W. Vaupel & Adam Lenart & Laszlo Nemeth, 2015. "The Gompertz force of mortality in terms of the modal age at death," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 32(36), pages 1031-1048.
    5. Marie-Pier Bergeron-Boucher & Vladimir Canudas-Romo & Marcus Ebeling, 2015. "Decomposing changes in life expectancy: Compression versus shifting mortality," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 33(14), pages 391-424.
    6. Dustin Brown & Mark Hayward & Jennifer Montez & Robert Hummer & Chi-Tsun Chiu & Mira Hidajat, 2012. "The Significance of Education for Mortality Compression in the United States," Demography, Springer;Population Association of America (PAA), vol. 49(3), pages 819-840, August.
    7. Fanny Janssen & Leo van Wissen & Joop de Beer & Anthe van den Hende, 2016. "Sigma and beta convergence in regional mortality: A case study of the Netherlands," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 35(4), pages 81-116.
    8. Roland Rau & Gabriele Doblhammer & Vladimir Canudas-Romo & Zhang Zhen, 2008. "Cause-of-Death Contributions to Educational Inequalities in Mortality in Austria between 1981/1982 and 1991/1992," European Journal of Population, Springer;European Association for Population Studies, vol. 24(3), pages 265-286, September.
    9. Dan Valeriu Voinea, 2015. "The journalists' obligation of protecting the victims of sexual assault," Social Sciences and Education Research Review, Department of Communication, Journalism and Education Sciences, University of Craiova, vol. 2(1), pages 101-109, August.
    10. Coruhlu, Yakup Emre & Yildiz, Okan, 2017. "Geographical database for object-oriented land division modelling in Turkey," Land Use Policy, Elsevier, vol. 68(C), pages 212-221.
    11. Danan Gu & Kirill F. Andreev & Patrick Gerland & Thomas Spoorenberg & Nan Li & Gerhard Heilig, 2013. "Old age mortality in Eastern and South-Eastern Asia," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 29(38), pages 999-1038.
    12. Titus Corlatean, 2020. "Risks, Discrimination and Opportunities for Education during the Times of COVID-19 Pandemic," Proceedings of the 17th International RAIS Conference, June 1-2, 2020 004tc, Research Association for Interdisciplinary Studies.
    13. Maria-Lluïsa Marsal-Llacuna, 2017. "Building Universal Socio-cultural Indicators for Standardizing the Safeguarding of Citizens’ Rights in Smart Cities," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 130(2), pages 563-579, January.
    14. Crina Mihaela Verga, 2020. "Pilot Judgments Delivered by the European Court of Human Rights against Romania," Logos Universalitate Mentalitate Educatie Noutate - Sectiunea Stiinte Politice si Studii Europene/ Logos Universality Mentality Education Novelty - Section: Political Sciences and European Studies, Editura Lumen, Department of Economics, vol. 6(2), pages 38-46, December.
    15. Ó Fathaigh, Ronan & Helberger, Natali & Appelman, Naomi, 2021. "The perils of legally defining disinformation," Internet Policy Review: Journal on Internet Regulation, Alexander von Humboldt Institute for Internet and Society (HIIG), Berlin, vol. 10(4), pages 1-25.
    16. Titus Corlatean, 2021. "The Parliamentary Assembly of the Council of Europe Monitoring on the Implementation of the European Court of Human Rights Judgments," RAIS Conference Proceedings 2021 0020, Research Association for Interdisciplinary Studies.
    17. Sanchez Marrugo, Betshy Paola, 2021. "Women Who Are Mad," MPRA Paper 111042, University Library of Munich, Germany.
    18. Jorge M. Uribe & Helena Chuliá & Montserrat Guillen, 2018. "Trends in the Quantiles of the Life Table Survivorship Function," European Journal of Population, Springer;European Association for Population Studies, vol. 34(5), pages 793-817, December.
    19. Bleeker, Amelia, 2020. "Creating an enabling environment for e-government and the protection of privacy rights in the Caribbean: A review of data protection legislation for alignment with the General Data Protection Regulati," Studies and Perspectives – ECLAC Subregional Headquarters for The Caribbean 46277, Naciones Unidas Comisión Económica para América Latina y el Caribe (CEPAL).
    20. Bryony Hoskins & Massimiliano Mascherini, 2009. "Measuring Active Citizenship through the Development of a Composite Indicator," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 90(3), pages 459-488, February.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:vid:yearbk:v:11:y:2013:i:1:p:37-69. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Bernhard Rengs (email available below). General contact details of provider: https://www.oeaw.ac.at/vid/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.