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.

The text of this article is only available as a PDF.

References

Andreev, Evgenii, Lutz, Wolfgang, & Scherbov, Sergei (
1989
).
“Averaging Life Expectancy.”
.
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
. 10.1016/0277-9536(88)90265-1
Cohen, Joel E. (
1986
).
“An Uncertainty Principle in Demography and the Unisex Issue.”
.
The American Statistician
,
40
,
32
39
. 10.2307/2683114
Crimmins, Eileen M., Saito, Yasuhiko, & Ingegneri, Dominique (
1989
).
“Changes in Life Expectancy and Disability-Free Life Expectancy in the United States.”
.
Population and Development Review
,
15
(
2
),
235
67
. 10.2307/1973704
Katz, S., Branch, L.G., Branson, M.H., Papsidero, J.A., Beck, J.C., & Greer, D.S. (
1983
).
“Active Life Expectancy”
.
New England Journal of Medicine
,
309
(
2
),
1218
24
. 10.1056/NEJM198311173092005
Keyfitz, Nathan (
1985
).
Applied Mathematical Demography
. 2nd ed
New York
:
Springer-Verlag
.
Katz, S. (
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
. 10.2307/2289057
Longino, Charles (
1979
).
“Going Home: Aged Return Migration in the United States 1965-1970.”
.
Journal of Gerontology
,
34
,
736
45
.
Manton, Kenneth G., & Stallard, Eric (
1991
).
“Cross-Sectional Estimates of Active Life Expectancy for the U.S. Elderly and Oldest-Old Populations.”
.
Journal of Gerontology: Social Sciences
,
46
(
3
),
170
82
.
Riley, James C. (
1990
).
“The Risk of Being Sick: Morbidity Trends in Four Countries.”
.
Population and Development Review
,
16
(
3
),
403
32
. 10.2307/1972830
Rogers, Andrei (
1986
).
“Parameterized Multistate Population Dynamics and Projections.”
.
Journal of the American Statistical Association
,
81
,
48
61
. 10.2307/2287967
Rogers, Andrei (
1990
).
“Return Migration to Region of Birth among Retirement-Age Persons in the United States.”
.
Journal of Gerontology: Social Sciences
,
45
(
3
),
128
34
.
Rogers, Andrei (
1990
).
“Requiem for the Net Migrant.”
.
Geographical Analysis
,
22
(
4
),
283
300
. 10.1111/j.1538-4632.1990.tb00212.x
Rogers, Andrei, Rogers, Richard G, & Belanger, Alain (
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., & Charity, Douglas (
1988
).
“Return Migration of the Elderly in the United States.”
.
Research on Aging
,
10
,
155
68
. 10.1177/0164027588102001
Vaupel, James W., & Yashin, Anatoli I (
1985
).
“Heterogeneity’s Ruses: Some Surprising Effects of Selection on Population Dynamics.”
.
The American Statistician
,
39
(
3
),
176
85
. 10.2307/2683925