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Stationary Population

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Journal Article
Demography (2022) 59 (1): 207–220.
Published: 01 February 2022
...Elizabeth Wrigley-Field; Dennis Feehan Abstract What is the average lifespan in a stationary population viewed at a single moment in time? Even though periods and cohorts are identical in a stationary population, we show that the answer to this question is not life expectancy but a length-biased...
FIGURES
Includes: Supplementary data
Journal Article
Demography (1992) 29 (4): 595–612.
Published: 01 November 1992
...Carl P. Schmertmann Abstract A sustained regime of low fertility plus immigration yields an unusual kind of stationary population. The author demonstrates that all stationary populations have a common structure, and that the familiar replacement-level fertility population is the youngest among...
Journal Article
Demography (1982) 19 (1): 125–133.
Published: 01 February 1982
... fertility and mortality schedules) lead to a stationary population. Neither the level of the net reproduction rate nor the size of the annual immigration affects this conclusion; a stationary population eventually emerges. How this stationary population is created is studied, as is the generational...
Journal Article
Demography (1976) 13 (4): 513–519.
Published: 01 November 1976
...S. Mitra Abstract If age-specific birth rates m, of a stable population drop abruptly to m x / R 0 , where R 0 is the net reproduction rate, then, according to Keyfitz, the size of the ultimate stationary population relative to.that at the beginning of the process is given by I = be 0 0 R 0 − 1...
Journal Article
Demography (1978) 15 (3): 267–283.
Published: 01 August 1978
... by the Census Bureau’s estimates of immigration. The analysis of Coale (1972)—which calculates the decline in native-born fertility required to accommodate immigration and, at the same time, maintain a stationary population—is replicated, using both the Census Bureau’s estimates and the revised estimates...
Journal Article
Demography (1971) 8 (1): 71–80.
Published: 01 February 1971
...Nathan Keyfitz Abstract If age-specific birth rates drop immediately to the level of bare replacement the ultimate stationary number of a population will be given by (9): multiplied by the present number, where b is the birth rate, r the rate of increase, the expectation of life, and R 0 the Net...
Journal Article
Demography (2003) 40 (4): 621–635.
Published: 01 November 2003
... hyperstable (QH) model, which relates exponentially changing fertility to the resultant exponentiated quadratic birth sequence. Modeling gradual transitions from an initial stable population to an ultimate stationary population indicates that such declines in fertility increase momentum by a product of two...
Journal Article
Demography (1970) 7 (4): 417–432.
Published: 01 November 1970
...Samuel H. Preston Abstract The method of decomposition is applied to rates of natural increase in order to elucidate the role played by age composition in the growth of populations. A population’s age distribution and fertility schedule are contrasted to those in a "stationary" population having...
Journal Article
Demography (1970) 7 (1): 61–69.
Published: 01 February 1970
... by Coale to stationary populations. It has here been modified to apply to stable populations. The results indicate that under all family systems, average household size is positively correlated with fertility, life expectancy, and average age at marriage. Households under nuclear and stem family systems...
Journal Article
Demography (1982) 19 (4): 549–565.
Published: 01 November 1982
... categories of kin who are female and female-related. With additional assumptions, a full two-sex model for all kin also is given. The two-sex model is applied to a cohort of U.S. women born in the mid-twentieth century, suggesting plausible frequencies of kin in a stationary population. 30 12 2010...
Journal Article
Demography (1978) 15 (4): 559–569.
Published: 01 November 1978
... ergodicity works. When mortality is constant and the period NRR = I, a life-table stationary population eventually results; everything of demographic interest (except age-specific fertility and the cohort NRR) is asymptotically constant. With changing mortality, but both period and cohort NRR = 1, only weak...
Journal Article
Demography (1978) 15 (4): 621–623.
Published: 01 November 1978
... table parameters, it has been shown that it can be approximately estimated by 2 – e (0)/à in which d is the average age of the stationary population. It has been found that, for a given value of 0, the relative gain in life expectancy is less appreciable in countries with larger values of e (0). 27...
Journal Article
Demography (1990) 27 (1): 121–129.
Published: 01 February 1990
... stationary within a time period not greater than the human life span. Thereafter, the number dying equals the number entering over any given time interval. The stationarity of the native population, among which deaths exceed births, is maintained by the compensating number of births to the immigrant...
Journal Article
Demography (2011) 48 (4): 1581–1599.
Published: 27 September 2011
... and its implied stable age distribution. Stable momentum is a function of deviations between a population’s implied stable and stationary age distributions. In general, the factorization of total momentum into the product of nonstable and stable momentum is a very good approximation. The factorization...
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Journal Article
Demography (1984) 21 (3): 431–432.
Published: 01 August 1984
...Thomas J. Espenshade 12 1 2011 © Population Association of America 1984 1984 Stationary Population Crude Birth Rate Fertility Schedule Annual Birth Replacement Fertility References Coale A. J. ( 1972 ). Alternative Paths to a Stationary Population . In C...
Journal Article
Demography (1997) 34 (3): 421–427.
Published: 01 August 1997
.... The population below age 30 does not grow over the transition to stationarity, and the ratio of initial to ultimate proportions under age 30 is virtually identical to momentum. 12 1 2011 © Population Association of America 1997 1997 Stationary Population Stable Population Vital Rate...
Journal Article
Demography (1991) 28 (1): 159–173.
Published: 01 February 1991
... are also presented. When the initial population is stable, momentum can be approximated as a function of the net reproduction rate alone. 9 1 2011 © Population Association of America 1991 1991 Initial Population Stationary Population Stable Population Total Momentum Replacement Level...
Journal Article
Demography (1983) 20 (1): 79–86.
Published: 01 February 1983
... Maternity Functions . Demography , 15 , 135 – 137 . 10.2307/2060496 Coale A. J. ( 1973 ). Atlernative Paths to a Stationary Population . In Charles F. Westoff , & Robert Parke (Eds.), Demographic and Social Aspects of Population Growth (pp. 589 – 603 ). Washington, D.C...
Journal Article
Demography (1983) 20 (1): 111–115.
Published: 01 February 1983
... Association of America 1983 1983 Stationary Population Migrant Population Birth Function Maternity Rate Constant Stream Reference Espenshade Thomas J. , Bouvier Leon F. , & Arthur W. Brian ( 1982 ). Immigration and the Stable Population Model . Demography , 19 , 125...
Journal Article
Demography (2024) 61 (2): 419–438.
Published: 01 April 2024
..., as well as those who later studied gradual momentum ( Goldstein 2002 ; Li and Tuljapurkar 1999 ; Schoen and Jonsson 2003 ), focused on the eventual size of the stationary population that would result if fertility rates were frozen at replacement levels. Coale took a different perspective. Rather...
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