Abstract
If one subgroup of individuals in a population has a higher death rate than the others, then over time the surviving population will include a larger share of those with the lower death rate, As a result, the aggregate average death rate for this increasingly more robust population will decline. This conclusion, however, can be drawn only for nonrecurrent events experienced by populations that do not exchange members with one another—that is, for noninteracting populations. Studies of changes in marital status, labor force activity, residential location, and active life, for example, all should focus on patterns of recurrent events among interacting populations (that is, multistate populations). Selection arising from heterogeneity will occur, but the consequences for average measures become unpredictable a priori. This paper explores such aspects of the selection effects of heterogeneity in multistate populations and illuminates some of their consequences for commonly used rates.
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References
Andreev, Evgenii, Wolfgang Lutz, and Sergei Scherbov. 1989. “Averaging Life Expectancy.” Working Paper-89-35, Population Program. Laxenburg, Austria: International Institute for Applied Systems Analysis.
Bebbington, A.C. 1988. “The Expectation of Life without Disability in England and Wales.” Social Science and Medicine 27(4): 321–27.
Cohen, Joel E. 1986. “An Uncertainty Principle in Demography and the Unisex Issue.” The American Statistician 40: 32–39.
Crimmins, Eileen M., Yasuhiko Saito, and Dominique Ingegneri. 1989. “Changes in Life Expectancy and Disability-Free Life Expectancy in the United States.” Population and Development Review 15(2): 235–67.
Katz, S., L.G. Branch, M.H.Branson, J.A. Papsidero, J.C. Beck, and D.S. Greer. 1983. “Active Life Expectancy”. New England Journal of Medicine 309(2): 1218–24.
Keyfitz, Nathan. 1985. Applied Mathematical Demography. 2nd ed. New York: Springer-Verlag.
— 1989. “Foreword.” to “Averaging Life Expectancy,” by Evgenii Andreev, Wolfgang Lutz, and Sergei Scherbov. Laxenburg, Austria: International Institute for Applied Systems Analysis.
Land, Kenneth C. 1986. “Methods for National Population Forecasts: A Review.” Journal of the American Statistical Association 81: 888–901.
Longino, Charles, Jr. 1979. “Going Home: Aged Return Migration in the United States 1965-1970.” Journal of Gerontology 34: 736–45.
Manton, Kenneth G., and Eric Stallard. 1991. “Cross-Sectional Estimates of Active Life Expectancy for the U.S. Elderly and Oldest-Old Populations.” Journal of Gerontology: Social Sciences 46(3): S170–82.
Riley, James C. 1990. “The Risk of Being Sick: Morbidity Trends in Four Countries.” Population and Development Review 16(3): 403–32.
Rogers, Andrei. 1986. “Parameterized Multistate Population Dynamics and Projections.” Journal of the American Statistical Association 81: 48–61.
—. 1990a. “Return Migration to Region of Birth among Retirement-Age Persons in the United States.” Journal of Gerontology: Social Sciences 45(3): S128–34.
—. 1990b. “Requiem for the Net Migrant.” Geographical Analysis 22(4): 283–300.
Rogers, Andrei, Richard G. Rogers, and Alain Belanger. 1990. “Longer Life but Worse Health? Measurement and Dynamics.” The Gerontologist 30(5): 640–49.
Serow, William J. 1978. “Return Migration of the Elderly in the USA: 1955-1960 and 1965-1970.” Journal of Gerontology 33: 288–95.
Serow, William J., and Douglas Charity. 1988. “Return Migration of the Elderly in the United States.” Research on Aging 10: 155–68.
Vaupel, James W., and Anatoli I. Yashin. 1985. “Heterogeneity’s Ruses: Some Surprising Effects of Selection on Population Dynamics.” The American Statistician 39(3): 176–85.
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The author is grateful to Carrie Andree and Debbie Ash for typing the manuscript. 1992 Population Association of America
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Rogers, A. Heterogeneity and selection in multistate population analysis. Demography 29, 31–38 (1992). https://doi.org/10.2307/2061361
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DOI: https://doi.org/10.2307/2061361