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Published in: Demography 6/2016

11-11-2016

Quantifying Intrinsic and Extrinsic Contributions to Human Longevity: Application of a Two-Process Vitality Model to the Human Mortality Database

Authors: David J. Sharrow, James J. Anderson

Published in: Demography | Issue 6/2016

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Abstract

The rise in human life expectancy has involved declines in intrinsic and extrinsic mortality processes associated, respectively, with senescence and environmental challenges. To better understand the factors driving this rise, we apply a two-process vitality model to data from the Human Mortality Database. Model parameters yield intrinsic and extrinsic cumulative survival curves from which we derive intrinsic and extrinsic expected life spans (ELS). Intrinsic ELS, a measure of longevity acted on by intrinsic, physiological factors, changed slowly over two centuries and then entered a second phase of increasing longevity ostensibly brought on by improvements in old-age death reduction technologies and cumulative health behaviors throughout life. The model partitions the majority of the increase in life expectancy before 1950 to increasing extrinsic ELS driven by reductions in environmental, event-based health challenges in both childhood and adulthood. In the post-1950 era, the extrinsic ELS of females appears to be converging to the intrinsic ELS, whereas the extrinsic ELS of males is approximately 20 years lower than the intrinsic ELS.

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Footnotes
1
Defining independent intrinsic and extrinsic processes achieves a closed-form solution of total mortality that can be fit to data to yield parameter estimates (Li and Anderson 2013). We are currently exploring a version of the model with greater interaction between these processes.
 
2
See the online version of this article to view all figures in color.
 
3
Li and Anderson (2013) showed that extrinsic challenges to stochastic vitality trajectories preferentially eliminate lower vitality paths, reshaping the distribution of vitality at each age. Because the effect of this reshaping cannot be captured in a closed-form solution that could be fit to data and yield parameter estimates, Li and Anderson expressed the extrinsic mortality process as challenges to the mean rate of loss of vitality—a deterministic function. This modified version of the two-process model with independent intrinsic and extrinsic parts is the model form used in this article.
 
4
Fitting the closed-form solution of the model to data can result in slightly biased parameter estimates, with r and β slightly low, and s and λ slightly high. Li and Anderson (2013:350) provided bias correction formulas for the four adult parameters based on simulation with a numerical model with greater parameter interaction. However, we avoid direct parameter interpretation here in favor of the summary metric ELS, which is unaffected by the parameter bias.
 
Literature
go back to reference Aalen, O. O., & Gjessing, H. K. (2001). Understanding the shape of the hazard rate: A process point of view. Statistical Science, 16, 1–22. Aalen, O. O., & Gjessing, H. K. (2001). Understanding the shape of the hazard rate: A process point of view. Statistical Science, 16, 1–22.
go back to reference Anderson, J. J., & Li, T. (2015). Six-parameter two-process vitality model. Paper presented at the annual meeting of the Population Association of America, San Diego, CA. Anderson, J. J., & Li, T. (2015). Six-parameter two-process vitality model. Paper presented at the annual meeting of the Population Association of America, San Diego, CA.
go back to reference Andreev, E. M., Nolte, E., Shkolnikov, V. M., Varavikova, E., & McKee, M. (2003). The evolving pattern of avoidable mortality in Russia. International Journal of Epidemiology, 32, 437–446.CrossRef Andreev, E. M., Nolte, E., Shkolnikov, V. M., Varavikova, E., & McKee, M. (2003). The evolving pattern of avoidable mortality in Russia. International Journal of Epidemiology, 32, 437–446.CrossRef
go back to reference Bobak, M., & Marmot, M. (1996). East-West mortality divide and its potential explanations: Proposed research agenda. BMJ: British Medical Journal, 312, 421–425.CrossRef Bobak, M., & Marmot, M. (1996). East-West mortality divide and its potential explanations: Proposed research agenda. BMJ: British Medical Journal, 312, 421–425.CrossRef
go back to reference Crimmins, E., Kim, J. K., & Vasunilashorn, S. (2010). Biodemography: New approaches to understanding trends and differences in population health and mortality. Demography, 47, S41–S64.CrossRef Crimmins, E., Kim, J. K., & Vasunilashorn, S. (2010). Biodemography: New approaches to understanding trends and differences in population health and mortality. Demography, 47, S41–S64.CrossRef
go back to reference Gompertz, B. (1825). On the nature of the function expressive of the law of human mortality, and on a new mode of determining the value of life contingencies. Philosophical Transactions of the Royal Society of London, 115, 513–583.CrossRef Gompertz, B. (1825). On the nature of the function expressive of the law of human mortality, and on a new mode of determining the value of life contingencies. Philosophical Transactions of the Royal Society of London, 115, 513–583.CrossRef
go back to reference Guo, G. (1993). Mortality trends and causes of death: A comparison between eastern and western Europe, 1960s–1980s. European Journal of Population, 9, 287–312.CrossRef Guo, G. (1993). Mortality trends and causes of death: A comparison between eastern and western Europe, 1960s–1980s. European Journal of Population, 9, 287–312.CrossRef
go back to reference Heligman, L., & Pollard, J. H. (1980). The age pattern of mortality. Journal of the Institute of Actuaries, 107, 49–80.CrossRef Heligman, L., & Pollard, J. H. (1980). The age pattern of mortality. Journal of the Institute of Actuaries, 107, 49–80.CrossRef
go back to reference Human Mortality Database (HMD). (n.d.). Berkeley: University of California, Berkeley and Rostock, Germany: Max Planck Institute for Demographic Research. Retrieved from www.mortality.org Human Mortality Database (HMD). (n.d.). Berkeley: University of California, Berkeley and Rostock, Germany: Max Planck Institute for Demographic Research. Retrieved from www.​mortality.​org
go back to reference Levitis, D. A. (2011). Before senescence: The evolutionary demography of ontogenesis. Proceedings of the Royal Society of London, Series B: Biological Sciences, 278, 801–809.CrossRef Levitis, D. A. (2011). Before senescence: The evolutionary demography of ontogenesis. Proceedings of the Royal Society of London, Series B: Biological Sciences, 278, 801–809.CrossRef
go back to reference Li, T., & Anderson, J. J. (2015). The Strehler-Mildvan correlation from the perspective of a two-process vitality model. Population Studies, 69, 91–104.CrossRef Li, T., & Anderson, J. J. (2015). The Strehler-Mildvan correlation from the perspective of a two-process vitality model. Population Studies, 69, 91–104.CrossRef
go back to reference Li, T., Yang, Y. C., & Anderson, J. J. (2013). Mortality increase in late-middle and early-old age: Heterogeneity in death processes as a new explanation. Demography, 50, 1563–1591.CrossRef Li, T., Yang, Y. C., & Anderson, J. J. (2013). Mortality increase in late-middle and early-old age: Heterogeneity in death processes as a new explanation. Demography, 50, 1563–1591.CrossRef
go back to reference Lopez, A. D., Mathers, C. D., Ezzati, M., Jamison, D. T., & Murray, C. J. (2006). Global and regional burden of disease and risk factors, 2001: Systematic analysis of population health data. Lancet, 367, 1747–1757.CrossRef Lopez, A. D., Mathers, C. D., Ezzati, M., Jamison, D. T., & Murray, C. J. (2006). Global and regional burden of disease and risk factors, 2001: Systematic analysis of population health data. Lancet, 367, 1747–1757.CrossRef
go back to reference Makeham, W. M. (1860). On the law of mortality and the construction of annuity tables. Assurance Magazine, and Journal of the Institute of Actuaries, 8, 301–310.CrossRef Makeham, W. M. (1860). On the law of mortality and the construction of annuity tables. Assurance Magazine, and Journal of the Institute of Actuaries, 8, 301–310.CrossRef
go back to reference McKee, M., & Shkolnikov, V. (2001). Understanding the toll of premature death among men in eastern Europe. BMJ: British Medical Journal, 323, 1051–1055.CrossRef McKee, M., & Shkolnikov, V. (2001). Understanding the toll of premature death among men in eastern Europe. BMJ: British Medical Journal, 323, 1051–1055.CrossRef
go back to reference McKeown, T. (1976). The modern rise of population. New York, NY: Academic Press. McKeown, T. (1976). The modern rise of population. New York, NY: Academic Press.
go back to reference Notzon, F. C., Komarov, Y. M., Ermakov, S. P., Sempos, C. T., Marks, J. S., & Sempos, E. V. (1998). Causes of declining life expectancy in Russia. Journal of the American Medical Association, 279, 793–800.CrossRef Notzon, F. C., Komarov, Y. M., Ermakov, S. P., Sempos, C. T., Marks, J. S., & Sempos, E. V. (1998). Causes of declining life expectancy in Russia. Journal of the American Medical Association, 279, 793–800.CrossRef
go back to reference Olshansky, S. J. (2010). The law of mortality revisted: Interspecies comparisons of mortality. Journal of Comparative Pathology, 142, S4–S9. Olshansky, S. J. (2010). The law of mortality revisted: Interspecies comparisons of mortality. Journal of Comparative Pathology, 142, S4–S9.
go back to reference Olshansky, S. J., & Ault, A. B. (1986). The fourth stage of the epidemiologic transition: The age of delayed degenerative diseases. Milbank Quarterly, 64, 355–391. Olshansky, S. J., & Ault, A. B. (1986). The fourth stage of the epidemiologic transition: The age of delayed degenerative diseases. Milbank Quarterly, 64, 355–391.
go back to reference Omran, A. R. (1971). The epidemiologic transition: A theory of the epidemiology of population change. Milbank Memorial Fund Quarterly, 49, 509–538. Omran, A. R. (1971). The epidemiologic transition: A theory of the epidemiology of population change. Milbank Memorial Fund Quarterly, 49, 509–538.
go back to reference Rogers, R. G., & Hackenberg, R. (1987). Extending epidemiologic transition theory: A new stage. Social Biology, 34, 234–243. Rogers, R. G., & Hackenberg, R. (1987). Extending epidemiologic transition theory: A new stage. Social Biology, 34, 234–243.
go back to reference Salinger, D. H., Anderson, J. J., & Hamel, O. S. (2003). A parameter estimation routine for the vitality-based survival model. Ecological Modelling, 166, 287–294.CrossRef Salinger, D. H., Anderson, J. J., & Hamel, O. S. (2003). A parameter estimation routine for the vitality-based survival model. Ecological Modelling, 166, 287–294.CrossRef
go back to reference Salomon, J. A., & Murray, C. J. L. (2002). The epidemiologic transition revisited: Compositional models for causes of death by age and sex. Population and Development Review, 28, 205–228.CrossRef Salomon, J. A., & Murray, C. J. L. (2002). The epidemiologic transition revisited: Compositional models for causes of death by age and sex. Population and Development Review, 28, 205–228.CrossRef
go back to reference Shkolnikov, V. M., Cornia, G. A., Leon, D. A., & Mesle, F. (1998). Causes of the Russian mortality crisis: Evidence and interpretations. World Development, 26, 1995–2011.CrossRef Shkolnikov, V. M., Cornia, G. A., Leon, D. A., & Mesle, F. (1998). Causes of the Russian mortality crisis: Evidence and interpretations. World Development, 26, 1995–2011.CrossRef
go back to reference Siler, W. (1979). A competing-risk model for animal mortality. Ecology, 60, 750–757.CrossRef Siler, W. (1979). A competing-risk model for animal mortality. Ecology, 60, 750–757.CrossRef
go back to reference Strehler, B. L., & Mildvan, A. S. (1960). General theory of mortality and aging. Science, 132, 14–21.CrossRef Strehler, B. L., & Mildvan, A. S. (1960). General theory of mortality and aging. Science, 132, 14–21.CrossRef
go back to reference Ukraintseva, S., Yashin, A., Arbeev, K., Kulminski, A., Akushevich, I., Wu, D., . . . Stallard, E. (2016). Puzzling role of genetic risk factors in human longevity: “Risk alleles” as pro-longevity variants. Biogerontology, 17, 109–127. Ukraintseva, S., Yashin, A., Arbeev, K., Kulminski, A., Akushevich, I., Wu, D., . . . Stallard, E. (2016). Puzzling role of genetic risk factors in human longevity: “Risk alleles” as pro-longevity variants. Biogerontology, 17, 109–127.
go back to reference Wachter, K. W., & Finch, C. (1997). Between Zeus and the salmon: The biodemography of longevity. Washington, DC: National Academy Press. Wachter, K. W., & Finch, C. (1997). Between Zeus and the salmon: The biodemography of longevity. Washington, DC: National Academy Press.
go back to reference Yashin, A. I., Arbeev, K. G., Arbeeva, L. S., Wu, D., Akushevich, I., Kovtun, M., . . . Ukraintseva, S. V. (2016). How the effects of aging and stresses of life are integrated in mortality rates: Insights for genetic studies of human health and longevity. Biogerontology, 17, 89–107. Yashin, A. I., Arbeev, K. G., Arbeeva, L. S., Wu, D., Akushevich, I., Kovtun, M., . . . Ukraintseva, S. V. (2016). How the effects of aging and stresses of life are integrated in mortality rates: Insights for genetic studies of human health and longevity. Biogerontology, 17, 89–107.
go back to reference Yashin, A. I., Begun, A. S., Boiko, S. I., Ukraintseva, S. V., & Oeppen, J. (2002). New age patterns of survival improvement in Sweden: Do they characterize changes in individual aging? Mechanisms of Ageing and Development, 123, 637–647. Yashin, A. I., Begun, A. S., Boiko, S. I., Ukraintseva, S. V., & Oeppen, J. (2002). New age patterns of survival improvement in Sweden: Do they characterize changes in individual aging? Mechanisms of Ageing and Development, 123, 637–647.
Metadata
Title
Quantifying Intrinsic and Extrinsic Contributions to Human Longevity: Application of a Two-Process Vitality Model to the Human Mortality Database
Authors
David J. Sharrow
James J. Anderson
Publication date
11-11-2016
Publisher
Springer US
Published in
Demography / Issue 6/2016
Print ISSN: 0070-3370
Electronic ISSN: 1533-7790
DOI
https://doi.org/10.1007/s13524-016-0524-4

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