Abstract
This article uses a group-based modeling approach to jointly estimate disability and mortality trajectories over time based on data from the population aged 80 and older in China, and explores relations of demographic, socioeconomic, and early-life characteristics to membership in gender-specific trajectory groups. A three-group model best fits the data for both males and females. For most groups, predicted numbers of limitations in activities of daily living (ADLs) increase with age, but the pace is gradual in some cases and rapid in others. For each gender, the estimated mortality probability trajectories for the three groups follow a hierarchy that is related to the predicted ADL counts at age 80. Only a few characteristics predict trajectory-group membership. Prior nonagricultural occupation is associated with less favorable disability trajectories for both genders. For females, rural residence, a greater number of children ever born, and having a father who did not work in agriculture are associated with more favorable trajectories. For a small group of males who received education, disability is moderate but changes little with age. Findings may reflect heterogeneity of survival among the least advantaged, as well as a possible expansion of morbidity among a small advantaged group.
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Andreescu, C., Chang, C. C. H., Mulsant, B. H., & Ganguli, M. (2008). Twelve-year depressive symptom trajectories and their predictors in a community sample of older adults. International Psychogeriatrics, 20, 221–236.
Beydoun, M. A., & Popkin, B. M. (2005). The impact of socio-economic factors on functional status decline among community-dwelling older adults in China. Social Science & Medicine, 60, 2045–2057.
Connor, J. (2006). Multivariate mixture models to describe longitudinal patterns of frailty in American seniors (Unpublished doctoral dissertation). Department of Statistics, Carnegie Mellon University, Pittsburgh, PA.
Dahlgren, G., & Whitehead, M. (1991). Policies and strategies to promote social equity in health. Stockholm, Sweden: Institute for Futures Studies.
Dodge, H. H., Du, Y., Saxton, J. A., & Ganguli, M. (2006). Cognitive domains and trajectories of functional independence in nondemented elderly persons. Journal of Gerontology: Medical Sciences, 61, 1330–1337.
Erosheva, E. A. (2002). Partial membership models with application to disability survey data. In H. Bozdogan (Ed.), Statistical data mining and knowledge discovery (pp. 117–134). Boca Raton, FL: Chapman & Hall.
Erosheva, E. A. (2005). Comparing latent structures of the grade of membership, Rasch, and latent class models. Psychometrika, 70, 619–628.
Ferrucci, L., Guralnik, J. M., Simonsick, E., Salive, M. E., Corti, C., & Langlois, J. (1996). Progressive versus catastrophic disability: A longitudinal view of the disablement process. Journal of Gerontology: Medical Sciences, 51, 123–130.
Freedman, V. A., & Martin, L. G. (1999). The role of education in explaining and forecasting trends in functional limitations among older Americans. Demography, 36, 461–473.
Fries, J. F. (1980). Aging, natural death and the compression of morbidity. New England Journal of Medicine, 303, 130–135.
Gill, T. M., Gahbauer, E. A., Han, L., & Allore, H. G. (2010). Trajectories of disability in the last year of life. New England Journal of Medicine, 362, 1173–1180.
Gu, D. (2007). General data quality assessment for the 2005 CLHLS wave (CLHLS Technical Report 2007–1). Durham, NC: Center for the Study of Aging and Human Development, Duke University.
Gu, D., & Zeng, Y. (2004). Sociodemographic effects on the onset and recovery of ADL disability among Chinese oldest-old. Demographic Research, 11, article 1, 1–42. doi: 10.4054/DemRes.2004.11.1
Haviland, A. H., Jones, B. L., & Nagin, D. S. (2011). Group-based trajectory modeling extended to account for nonrandom subject attrition. Sociological Methods & Research, 40, 367–390.
Hayward, M. D., & Gorman, B. K. (2004). The long arm of childhood: The influence of early-life social conditions on men’s mortality. Demography, 41, 87–107.
He, W., Sengupta, M., Zhang, K., & Guo, P. (2007). Health and health care of the older population in urban and rural China: 2000. Washington, DC: U.S. Government Printing Office.
Heikkinen, E. (2003). What are the main risk factors for disability in old age and how can disability be prevented? (Health Evidence Network report). Copenhagen: WHO Regional Office for Europe. Retrieved from http://www.euro.who.int/document/E82970.pdf
Jones, B. L., & Nagin, D. S. (2007). Advances in group-based trajectory modeling and a SAS procedure for estimating them. Sociological Methods & Research, 35, 542–572.
Jones, B. L., Nagin, D. S., & Roeder, K. (2001). A SAS procedure based on mixture models for estimating developmental trajectories. Sociological Methods & Research, 29, 374–393.
Kaneda, T., Zimmer, Z., Fang, X., & Tang, Z. (2009). Gender differences in functional health and mortality among the Chinese elderly: Testing an exposure versus vulnerability hypothesis. Research on Aging, 31, 361–388.
Kaneda, T., Zimmer, Z., & Zhang, K. (2010). Explaining the urban-rural divergence in disability among older Chinese using a large scale national dataset (IPIA working paper). Salt Lake City: Institute of Public and International Affairs, University of Utah. Retrieved from http://www.ipia.utah.edu/workingpapers/2010_4_19.pdf
Katz, S., Ford, A. B., Moskowitz, R. W., Jackson, B. A., & Jaffee, M. W. (1963). Studies of illness in the aged: The index of ADL, a standardized measure of biological and psychosocial function. Journal of the American Medical Association, 185, 914–919.
Lardy, N. R. (1987). The Chinese economy under stress, 1958–1965. In R. MacFarquhar & J. K. Fairbank (Eds.), The People’s Republic, Part 1: The Emergence of Revolutionary China 1949–1965 (pp. 360–397). Cambridge, UK: Cambridge University Press.
Leigh, J. P., & Fries, J. F. (1992). Disability in occupations in a national sample. American Journal of Public Health, 82, 1517–1524.
Li, L. W. (2005). Trajectories of ADL disability among community-dwelling frail older persons. Research on Aging, 27, 56–79.
Li, L. W., Zhang, J., & Liang, J. (2009). Health among the oldest-old in China: Which living arrangements make a difference? Social Science & Medicine, 68, 220–227.
Liang, J., McCarthy, J. F., Jain, A., Krause, N., Bennett, J. M., & Gu, S. (2000). Socioeconomic gradient in old age mortality in Wuhan, China. Journal of Gerontology: Social Sciences, 55, 222–233.
Liang, J., Liu, X., & Gu, S. (2001). Transitions in functional status among older people in Wuhan, China: Socioeconomic differentials. Journal of Clinical Epidemiology, 54, 1126–1138.
Liang, J., Xiao, X., Bennett, J. M., Ye, W., & Quinones, A. R. (2010). Ethnicity and changing functional health in middle and late life: A person-centered approach. Journal of Gerontology: Social Sciences, 65, 470–481.
Lynch, S. M. (2008). Race, socioeconomic status and health across the life course: Introduction to the special issue. Research on Aging, 30, 127–136.
Manton, K. G., Gu, X., & Lowrimore, G. R. (2008). Cohort changes in active life expectancy in the U.S. elderly population: Experience from the 1982–2004 National Long-Term Care Survey. Journal of Gerontology: Social Sciences, 63, 269–281.
Marmot, M. (1999). Epidemiology of socioeconomic status and health: Are determinants within countries the same as between countries? Annals of the New York Academy of Sciences, 896, 16–29.
Mihelic, A. H., & Crimmins, E. M. (1997). Loss to follow-up in a sample of Americans 70 years of age and older: The LSOA 1984–1990. Journal of Gerontology: Social Sciences, 52, 37–48.
Nagi, S. Z. (1976). An epidemiology of disability among adults in the United States. Milbank Memorial Fund Quarterly, 54, 439–467.
Nagin, D. S. (2005). Group-based modeling of development. Cambridge, MA: Harvard University Press.
Nagin, D. S., & Land, K. C. (1993). Age, criminal careers, and population heterogeneity: Specification and estimation of a nonparametric, mixed Poisson model. Criminology, 31, 327–362.
Nagin, D. S., & Tremblay, R. E. (2001). Analyzing developmental trajectories of distinct but related behaviors: A group-based method. Psychological Methods, 6, 18–34.
Nathanson, C. A. (1975). Illness and the feminine role: A theoretical review. Social Science & Medicine, 9, 57–62.
Pope, A. M., & Tarlov, A. R. (1991). Disability in America: Toward a national agenda for prevention. Washington, DC: National Academy Press.
Reuben, D. B., Seeman, T. E., Keeler, E., Hayes, R. P., Bowman, L., Sewall, A., . . . Guralnik, J. M. (2004). Refining the categorization of physical functional status: The added value of combining self-reported and performance-based measures. Journal of Gerontology: Medical Sciences, 59, 1056–1061.
Roeder, K., Lynch, K., & Nagin, D. (1999). Modeling uncertainty in latent class membership: A case study in criminology. Journal of the American Statistical Association, 94, 766–776.
Smedley, B. D., & Syme, S. L. (Eds.). (2000). Promoting health: Intervention strategies from social and behavioral research. Washington, DC: National Academy Press.
Stallard, E. (2007). Trajectories of morbidity, disability, and mortality among the U.S. elderly population: Evidence from the 1984–1999 NLTCS. North American Actuarial Journal, 11, 16–53.
Taylor, M. G. (2005). Disaggregating disability trajectories: Exploring differences in the disability experience of older adults in the United States (Unpublished doctoral dissertation). Durham, NC: Department of Sociology, Duke University.
Taylor, M. G., & Lynch, S. M. (2004). Trajectories of impairment, social support, and depressive symptoms in later life. Journal of Gerontology: Social Sciences, 59, 238–246.
United Nations. (2009). World population prospects: The 2008 revision. New York: United Nations.
Verbrugge, L. M. (1989). The twains meet: Empirical explanations for sex differences in health and mortality. Journal of Health and Social Behavior, 30, 282–304.
Verbrugge, L. M., & Jette, A. M. (1994). The disablement process. Social Science & Medicine, 38, 1–14.
Wolf, D. A., Mendes de Leon, C. F., & Glass, T. A. (2007). Trends in rates of onset of and recovery from disability at older ages: 1982–1994. Journal of Gerontology: Social Sciences, 62, 3–10.
Wolinsky, F. D., Armbrecht, E. S., & Wyrwich, K. W. (2000). Rethinking functional limitation pathways. The Gerontologist, 40, 137–146.
World Health Organization (WHO). (2002). Towards a common language for functioning, disability and health: ICF. Geneva, Switzerland: WHO. Retrieved from http://www.who.int/classifications/icf/training/icfbeginnersguide.pdf
Yang, Y., & Lee, L. C. (2010). Dynamics and heterogeneity in the process of human frailty and aging: Evidence from the U.S. older adult population. Journal of Gerontology: Social Sciences, 65, 245–255.
Zeng, Y., & Vaupel, J. W. (2004). Association of late childbearing with healthy longevity among the oldest-old in China. Population Studies, 58, 37–53.
Zeng, Y., Vaupel, J. W., Xiao, Z., Zhang, C., & Liu, Y. (2001). The Healthy Longevity Survey and the active life expectancy of the oldest old in China. Population: An English Selection, 13, 95–116.
Zhao, Z. (2008). Analysis of health and longevity in the oldest-old population—A health capital approach. In Y. Zeng, D. L. Poston, D. A. Vlosky, & D. Gu (Eds.), Healthy longevity in China (pp. 157–176). Dordrecht, The Netherlands: Springer.
Zhu, J. (1998). Rural out-migration in China: A multilevel model. In R. E. Bilsborrow (Ed.), Migration, urbanization, and development: New directions and issues (pp. 157–186). Norwell, MA: Kluwer Academic Publishers.
Zimmer, Z. (2005). Health and living arrangement transitions among China’s oldest-old. Research on Aging, 27, 526–555.
Acknowledgments
The current research was assisted by a grant from the National Institutes of Health–National Institute on Aging, Grant No. 1R21 AG036938-01, “Modeling Disability Trajectories in Rapidly Aging Population.” The authors thank Douglas A. Wolf for his thoughtful comments on an earlier version of this article, Danan Gu for providing insight into the CLHLS data set, and two anonymous reviewers. An earlier version of this article was presented at the annual meeting of the Population Association of America, Detroit, Michigan, April 30–May 2, 2009.
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Zimmer, Z., Martin, L.G., Nagin, D.S. et al. Modeling Disability Trajectories and Mortality of the Oldest-Old in China. Demography 49, 291–314 (2012). https://doi.org/10.1007/s13524-011-0075-7
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DOI: https://doi.org/10.1007/s13524-011-0075-7