Heterogeneity’s ruses: Some surprising effects of selection on population dynamics

American Statistician

Volumn 39, Issue 3, 1985, Pages 176-185

  Vaupel, James W ^a,b   Yashin, Anatoli I ^a,c  

^a INTERNATIONAL INSTITUTE FOR APPLIED SYSTEMS ANALYSIS   (Austria)

^b UNIVERSITY OF MINNESOTA   (United States)

^c TRAPEZNIKOV INSTITUTE OF CONTROL SCIENCES   (Russian Federation)

Author keywords

Failure; Hazard rates; Mixed populations; Mixtures of distributions; Mortality; Survival analysis; Unobserved heterogeneity

Indexed keywords

ARTICLE; COHORT ANALYSIS; DEMOGRAPHIC FACTORS; DEMOGRAPHY; DIFFERENTIAL MORTALITY; LENGTH OF LIFE; LONGEVITY; MORTALITY; POLICY; POPULATION; POPULATION AND POPULATION RELATED PHENOMENA; POPULATION AT RISK; POPULATION DYNAMICS; POPULATION POLICY; RESEARCH; RESEARCH METHODOLOGY; STATISTICAL STUDIES; SURVIVAL RATE; SURVIVORSHIP;

COHORT ANALYSIS; DEMOGRAPHIC FACTORS; DIFFERENTIAL MORTALITY; LENGTH OF LIFE; MORTALITY; POLICY; POPULATION; POPULATION AT RISK; POPULATION DYNAMICS; POPULATION POLICY; RESEARCH METHODOLOGY; STATISTICAL STUDIES; SURVIVORSHIP;

COHORT STUDIES; DEMOGRAPHY; LONGEVITY; MORTALITY; POPULATION; POPULATION CHARACTERISTICS; POPULATION DYNAMICS; PUBLIC POLICY; RESEARCH; STATISTICS; SURVIVAL RATE;

EID: 0022105767     PISSN: 00031305     EISSN: 15372731     Source Type: Journal    
DOI: 10.1080/00031305.1985.10479424     Document Type: Article

References (29)

1. Blumen, I., Kogan, M., and McCarthy, P. J. (1955), The Industrial Mobility of Labor as a Probability Process, Ithaca, New York: Cornell University.
2. Barlow, R., and Proschan, F. (1975), Statistical Theory of Reliability and Lifetesting, New York: Holt, Rinehart & Winston.
3. Cox, D. R., and Oakes, D. (1984), Analysis of Survival Data, London: Chapman & Hall.
4. Elandt-Johnson, R. C., and Johnson, N. L. (1980), Survival Models and Data Analysis, New York: John Wiley.
5. Gnedenko, B. V., Belyaev, Yu. K., and Solovyev, A. D. (1969), Mathematical Methods of Reliability Theory, New York: Academic Press.
6. Harris, C. M., Kaylan, A. R., and Maltz, M. D. (1981), “Recent Advances in the Statistics of Recidivism Measurement,” in Models in Quantitative Criminology, ed. J. A. Fox, New York: Academic Press, pp. 61-79.
7. Heckman, J. J., and Singer, B. (1982), “Population Heterogeneity in Demographic Models,” in Multidimensional Mathematical Demography, eds. K. Land and A. Rogers, New York: Academic Press.
8. Heckman, J. J., and Singer, B. (1984), “Econometric Duration Analysis,” Journal of Econometrics, 24, 63-132.
9. Horiuchi, S., and Coale, A. J. (1983), “Age Patterns of Mortality for Older Women: Analysis Using the Age-Specific Rate of Mortality Change With Age,” paper presented at the 1983 Annual Meeting of the Population Association of America, Pittsburgh.
10. Kalbfleisch, J. D., and Prentice, R. L. (1980), The Statistical Analysis of Failure Time Data, New York: John Wiley.
11. Keyfitz, N., and Littman, G. (1980), “Mortality in a Heterogeneous Population,” Population Studies, 33, 333-343.
12. Keyfitz, N., and Beekman, J. (1984), Demography Through Problems, New York: Springer-Verlag.
13. Lawless, J. F. (1982), Statistical Models and Methods for Lifetime Data, New York: John Wiley.
14. Mann, N. R., Schafer, R. E., and Singpurwalla, N. D. (1974), Methods for Statistical Analysis of Reliability and Life Data, New York: John Wiley.
15. Manton, K. G., and Stallard, E. (1981a), “Methods for Evaluating the Heterogeneity of Aging Processes in Human Populations Using Vital Statistics Data: Explaining the Black/White Mortality Crossover by a Model of Mortality Selection,” Human Biology, 53, 47-67.
16. Manton, K. G., and Stallard, E. (1981b), “Heterogeneity and Its Effect on Mortality Measurement,” in Methodologies for the Collection and Analysis of Mortality Data, eds. J. Vallin, J. H. Pollard, and L. Heligman, Liege, Belgium: International Union for the Scientific Study of Population, pp. 265-299.
17. Manton, K. G., Stallard, E., and Vaupel, J. W. (1981), “Methods for Comparing the Mortality Experience of Heterogeneous Populations,” Demography, 18, 389-410.
18. Manton, K. G., Stallard, E., and Vaupel, J. W. (1984), “Alternative Estimates of the Heterogeneity of Mortality Risks Among the Aged,” submitted for publication.
19. Nam, C. B., Weatherby, N. L., and Ockay, K. A. (1978), “Causes of Death Which Contribute to the Mortality Crossover Effect,” Social Biology, 25, 306-314.
20. Peltzman, S. (1975), “The Effects of Automobile Safety Regulations,” Journal of Political Economy, 83, 677-725.
21. Petrovski, A. M., Vaupel, J. W., and Yashin, A. I. (1984), “Models of Risk Group Dynamics,” in System Science in Health Care, eds. W. van Eimeren et al., Berlin: Springer-Verlag, pp. 936-937.
22. Rogers, A. (1982), “Parametrized Multistate Population Dynamics,” Working Paper WP-82-125, Laxenburg, Austria: International Institute for Applied Systems Analysis.
23. Shepard, D. S., and Zeckhauser, R. J. (1980), “Long-Term Effects of Interventions to Improve Survival in Mixed Populations,” Journal of Chronic Diseases, 33, 413-433.
24. Simpson, G. G. (1983), Fossils and the History of Life, New York: W. H. Freeman.
25. Trussel, J., and Richards, T. (1985), “Correcting for Unmeasured Heterogeneity in Hazard Models Using the Heckman-Singer Procedure,” in Sociological Methodology 1985, ed. N. B. Tuma, San Francisco: Jossey Bass.
26. Tuma, N. B. (1983), “Effects of Labor Market Structure on Job-Shift Patterns,” Working Paper WP-83-11, Laxenburg, Austria: International Institute for Applied Systems Analysis.
27. Vaupel, J. W., Manton, K. G., and Stallard, E. (1979), “The Impact of Heterogeneity in Individual Frailty on the Dynamics of Mortality,” Demography, 16, 439-454.
28. Vaupel, J. W., and Yashin, A. I. (1983), “The Deviant Dynamics of Death in Heterogeneous Populations,” Research Report RR-83-1, Laxenburg, Austria: International Institute for Applied Systems Analysis.
29. Wilde, G. J. S. (1982), “The Theory of Risk Homeostasis: Implications for Safety and Health,” Risk Analysis, 2, 209-225.