Abstract
Decomposition is a widely used tool to explain a change or difference in an aggregate index by the underlying changes or differences in its parameters. In this chapter we first describe the main developments in the general field of decomposition analysis. Next we turn our attention to the particular case of healthy life expectancy, which is decomposable using the step-wise and continuous change decomposition methods. We describe both methods in detail. Finally, using the R-package DemoDecomp, we demonstrate how to decompose gaps in prevalence-based healthy life expectancy, using either of these two decomposition methods.
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References
Andreev, E. M. (1982). Metod komponent v analize prodoljitelnosty zjizni [The method of components in the analysis of length of life]. Vestnik Statistiki, 9, 42–47.
Andreev, E. M., & Kingkade, W. W. (2015). Average age at death in infancy and infant mortality level: Reconsidering the Coale-Demeny formulas at current levels of low mortality. Demographic Research, 33, 363–390.
Andreev, E. M., Shkolnikov, V. M., & Begun, A. Z. (2002). Algorithm for decomposition of differences between aggregate demographic measures and its application to life expectancies, healthy life expectancies, parity-progression ratios and total fertility rates. Demographic Research, 7(14), 499–522.
Arriaga, E. E. (1984). Measuring and explaining the change in life expectancies. Demography, 21(1), 83–96.
Caswell, H. (1996). Demography meets ecotoxicology: Untangling the population level effects of toxic substances. In Ecotoxicology: A hierarchical treatment (pp. 255–292). Boca Raton: CRC Press.
Caswell, H. (2001). Matrix population models: Construction, analysis, and interpretation (2nd ed.). Sunderland: Sinauer.
Caswell, H. (2008). Perturbation analysis of nonlinear matrix population models. Demographic Research, 18, 59–116.
Caswell, H., & Zarulli, V. (2018). Matrix methods in health demography: A new approach to the stochastic analysis of healthy longevity and DALYs. Population Health Metrics, 16(1), 8.
Crimmins, E. M., Saito, Y., & Ingegneri, D. (1997). Trends in disability-free life expectancy in the United States, 1970-90. Population and Development Review, 23(3), 555–572.
Das Gupta, P. (1978). A general method of decomposing a difference between two rates into several components. Demography, 15(1), 99–112.
Das Gupta, P. (1994). Standardization and decomposition of rates from cross-classified data. Genus, 171–196.
Gillespie, D. O. S., Trotter, M. V., & Tuljapurkar, S. (2014). Divergence in age patterns of mortality change drives international divergence in lifespan inequality. Demography, 51(3), 1003–1017.
HMD. (2018). Human mortality database. University of California, Berkeley (USA), and Max Planck Institute for Demographic Research (Germany). Available at www.mortality.org. Data downloaded on November 14, 2018.
Horiuchi, S., Wilmoth, J. R., & Pletcher, S. D. (2008). A decomposition method based on a model of continuous change. Demography, 45(4), 785–801.
Jdanov, D., Shkolnikov, V. M., van Raalte, A. A., et al. (2017). Decomposing current mortality differences into initial differences and differences in trends: The contour decomposition method. Demography, 54(4), 1579–1602.
Keyfitz, N. (1977). Applied mathematical demography (1st ed.). New York: Wiley.
Kitagawa, E. M. (1955). Components of a difference between two rates. Journal of the American Statistical Association, 50(272), 1168–1194.
Klijs, B., Nusselder, W. J., Looman, C. W., et al. (2011). Contribution of chronic disease to the burden of disability. PLoS One, 6(9), e25325. https://doi.org/10.1371/journal.pone.0025325.
Lievre, A., Brouard, N., & Heathcote, C. (2003). The estimation of health expectancies from cross-longitudinal surveys. Mathematical Population Studies, 10(4), 211–248.
Nusselder, W. J., & Looman, C. W. (2004). Decomposition of differences in health expectancy by cause. Demography, 41(2), 315–334.
Nusselder, W., & Looman, C. (2013). WP7: Decomposition tools. Technical report on decomposition.
Pollard, J. (1982). The expectation of life and its relationship to mortality. Journal of the Institute of Actuaries, 109, 225–240.
Pressat, R. (1985). Contribution des écarts de mortalité par âge à la différence des vies moyennes. Population (French Edition), 40(4/5), 766–770.
Riffe, T. (2015). Reading human fertility database and human mortality database data into R. Technical report TR-2015-004, MPIDR.
Riffe, T. (2018). DemoDecomp: Decompose demographic functions. R Package version 101. https://rdrr.io/cran/DemoDecomp/
Riffe, T., Mehta, N. K., Schneider, D. C., et al. (2019). Trends in United States life expectancy and disability above age 50: Delayed onset, improved recovery, mortality change, or compositional change? Paper presented at the PAA Annual Conference, Austin Tx, 2019.
Rogers, A., Rogers, R. G., & Branch, L. G. (1989). A multistate analysis of active life expectancy. Public Health Reports, 104(3), 222.
Shkolnikov, V. M., & Andreev, E. M. (2010). Age-decomposition of a difference between two populations for any life-table quantity in Excel. Rostock, Germany Max Planck Institute for Demographic Research TR 2010–002.
Shkolnikov, V. M., & Andreev, E. M. (2017). The decomposition of the difference between two healthy life expectancies. Which formula is right? (MPIDR Working Paper 2017–016).
Shkolnikov, V. M., Andreev, E. M., & Begun, A. Z. (2003). Gini coefficient as a life table function. Computation from discrete data, decomposition of differences and empirical examples. Demographic Research, 8, 305–358.
Shkolnikov, V. M., Andreev, E. M., Jasilionis, D., et al. (2006). The changing relation between education and life expectancy in cen-tral and eastern Europe in the 1990s. Journal of Epidemiology and Community Health, 60(10), 875–881. https://doi.org/10.1136/jech.2005.044719.
Shkolnikov, V. M., Andreev, E. M., Zhang, Z., et al. (2011). Losses of expected lifetime in the United States and other developed countries: Methods and empirical analyses. Demography, 48(1), 211–239.
Sullivan, D. F. (1971). A single index of mortality and morbidity. HSMHA Health Reports, 86(4), 347–354.
Timonin, S., Shkolnikov, V. M., Jasilionis, D., et al. (2016). Disparities in length of life across developed countries: Measuring and decomposing changes over time within and between country groups. Population Health Metrics, 14(1), 29. https://doi.org/10.1186/s12963-016-0094-0.
van Raalte, A. A., & Caswell, H. (2013). Perturbation analysis of indices of lifespan variability. Demography, 50(5), 1615–1640.
Vaupel, J. W. (1986). How change in age-specific mortality affects life expectancy. Population Studies, 40(1), 147–157.
Vaupel, J. W., & Canudas Romo, V. (2002). Decomposing demographic change into direct vs. compositional components. Demographic Research, 7, 1–14.
Vaupel, J. W., & Canudas Romo, V. (2003). Decomposing change in life expectancy: A bouquet of formulas in honor of Nathan Keyfitz’s 90th birthday. Demography, 40(2), 201–216.
Wenau, G., Grigoriev, P., Shkolnikov, V. M. (2019). Socioeconomic disparities in life expectancy gains among retired German men, 1997–2016. Journal of Epidemiology Community Health, jech-2018-211742.
Wilmoth, J. R., & Horiuchi, S. (1999). Rectangularization revisited: Variability of age at death within human populations. Demography, 36(4), 475–495.
Zhang, Z., & Vaupel, J. W. (2009). The age separating early deaths from late deaths. Demographic Research, 20, 721–730.
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van Raalte, A.A., Nepomuceno, M.R. (2020). Decomposing Gaps in Healthy Life Expectancy. In: Jagger, C., Crimmins, E.M., Saito, Y., De Carvalho Yokota, R.T., Van Oyen, H., Robine, JM. (eds) International Handbook of Health Expectancies. International Handbooks of Population, vol 9. Springer, Cham. https://doi.org/10.1007/978-3-030-37668-0_7
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