Matrix methods in health demography: a new approach to the stochastic analysis of healthy longevity and DALYs.

Background: Increases in human longevity have made it critical to distinguish healthy longevity from longevity without regard to health. Current methods focus on expectations of healthy longevity, and are often limited to binary health outcomes (e.g., disabled vs. not disabled). We present a new mat...

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Publicado en:Population Health Metrics Vol. 16; no. 1
Autores principales: Caswell, Hal, Zarulli, Virginia
Formato: equations & formulas research tables/charts Journal Article
Publicado: BioMed Central 6/7/2018
Acceso en línea:Ver este registro en EBSCOhost
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      dt: 6/7/2018
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      pub: BioMed Central
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        10.1186/s12963-018-0165-5
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        atl: Matrix methods in health demography: a new approach to the stochastic analysis of healthy longevity and DALYs.
      aug:
        au:
          Caswell, Hal
          Zarulli, Virginia
        affil: Institute for Biodiversity and Ecosystem Dynamics, University of Amsterdam PO Box 94248 1090 GE Amsterdam The Netherlands
      sug:
        subj:
          Longevity Evaluation
          Healthy Aging Evaluation
          Models, Statistical
          Human
          Grip Strength
          Activities of Daily Living
          Disability-Adjusted Life Years
      ab: Background: Increases in human longevity have made it critical to distinguish healthy longevity from longevity without regard to health. Current methods focus on expectations of healthy longevity, and are often limited to binary health outcomes (e.g., disabled vs. not disabled). We present a new matrix formulation for the statistics of healthy longevity, based on health prevalence data and Markov chain theory, applicable to any kind of health outcome and which provides variances and higher moments as well as expectations of healthy life. Method: The model is based on a Markov chain description of the life course coupled with the moments of health outcomes ("rewards") at each age or stage. As an example, we apply the method to nine European countries using the SHARE survey data on the binary outcome of disability as measured by activities of daily living, and the continuous health outcome of hand grip strength. Results: We provide analytical formulas for the mean, variance, coefficient of variation, skewness and other statistical properties of healthy longevity. The analysis is applicable to binary, categorical, ordinal, or interval scale health outcomes. The results are easily evaluated in any matrix-oriented software. The SHARE results reveal familiar patterns for the expectation of life and of healthy life: women live longer than men but spend less time in a healthy condition. New results on the variance shows that the standard deviation of remaining healthy life declines with age, but the coefficient of variation is nearly constant. Remaining grip strength years decrease with age more dramatically than healthy years but their variability pattern is similar to the pattern of healthy years. Patterns are similar across nine European countries. Conclusions: The method extends, in several directions, current calculations of health expectancy (HE) and disability-adjusted life years (DALYs). It applies to both categorical and continuous health outcomes, to combinations of multiple outcomes (e.g., death and disability in the formulation of DALYs) and to age- or stage-classified models. It reveals previously unreported patterns of variation among individuals in the outcomes of healthy longevity.
      pubtype: Academic Journal
      doctype:
        equations & formulas
        research
        tables/charts
        Journal Article
      ougenre: Article
    language: English
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