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Modeling County-Level Spatio-Temporal Mortality Rates Using Dynamic Linear Models

Author

Listed:
  • Zoe Gibbs

    (Department of Statistics, Brigham Young University, Provo, UT 84602, USA)

  • Chris Groendyke

    (Department of Mathematics, Robert Morris University, Moon Township, PA 15108, USA)

  • Brian Hartman

    (Department of Statistics, Brigham Young University, Provo, UT 84602, USA)

  • Robert Richardson

    (Department of Statistics, Brigham Young University, Provo, UT 84602, USA)

Abstract

The lifestyles and backgrounds of individuals across the United States differ widely. Some of these differences are easily measurable (ethnicity, age, income, etc.) while others are not (stress levels, empathy, diet, exercise, etc.). Though every person is unique, individuals living closer together likely have more similar lifestyles than individuals living hundreds of miles apart. Because lifestyle and environmental factors contribute to mortality, spatial correlation may be an important feature in mortality modeling. However, many of the current mortality models fail to account for spatial relationships. This paper introduces spatio-temporal trends into traditional mortality modeling using Bayesian hierarchical models with conditional auto-regressive (CAR) priors. We show that these priors, commonly used for areal data, are appropriate for modeling county-level spatial trends in mortality data covering the contiguous United States. We find that mortality rates of neighboring counties are highly correlated. Additionally, we find that mortality improvement or deterioration trends between neighboring counties are also highly correlated.

Suggested Citation

  • Zoe Gibbs & Chris Groendyke & Brian Hartman & Robert Richardson, 2020. "Modeling County-Level Spatio-Temporal Mortality Rates Using Dynamic Linear Models," Risks, MDPI, vol. 8(4), pages 1-15, November.
  • Handle: RePEc:gam:jrisks:v:8:y:2020:i:4:p:117-:d:440287
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    References listed on IDEAS

    as
    1. Andrew Cairns & David Blake & Kevin Dowd & Guy Coughlan & David Epstein & Alen Ong & Igor Balevich, 2009. "A Quantitative Comparison of Stochastic Mortality Models Using Data From England and Wales and the United States," North American Actuarial Journal, Taylor & Francis Journals, vol. 13(1), pages 1-35.
    2. Paciorek, Christopher J., 2007. "Computational techniques for spatial logistic regression with large data sets," Computational Statistics & Data Analysis, Elsevier, vol. 51(8), pages 3631-3653, May.
    3. Booth, H. & Tickle, L., 2008. "Mortality Modelling and Forecasting: a Review of Methods," Annals of Actuarial Science, Cambridge University Press, vol. 3(1-2), pages 3-43, September.
    4. repec:aph:ajpbhl:10.2105/ajph.2017.303992_3 is not listed on IDEAS
    5. Monica Alexander & Emilio Zagheni & Magali Barbieri, 2017. "A Flexible Bayesian Model for Estimating Subnational Mortality," Demography, Springer;Population Association of America (PAA), vol. 54(6), pages 2025-2041, December.
    6. 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.
    7. Dickson,David C. M. & Hardy,Mary R. & Waters,Howard R., 2020. "Solutions Manual for Actuarial Mathematics for Life Contingent Risks," Cambridge Books, Cambridge University Press, number 9781108747615, October.
    8. Julian Besag & Jeremy York & Annie Mollié, 1991. "Bayesian image restoration, with two applications in spatial statistics," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 43(1), pages 1-20, March.
    9. Scutchfield, F.D. & Keck, C.W., 2017. "Deaths of despair: Why? what to do?," American Journal of Public Health, American Public Health Association, vol. 107(10), pages 1564-1565.
    10. Gerdtham, Ulf-G. & Johannesson, Magnus, 2003. "A note on the effect of unemployment on mortality," Journal of Health Economics, Elsevier, vol. 22(3), pages 505-518, May.
    11. Andrew J. G. Cairns & David Blake & Kevin Dowd, 2006. "A Two‐Factor Model for Stochastic Mortality with Parameter Uncertainty: Theory and Calibration," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 73(4), pages 687-718, December.
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