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Asymptotic Birth Rate

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Journal Article
Demography (1978) 15 (1): 131–134.
Published: 01 February 1978
... show that for the Malthusian model the asymptotic birth rate is increased by exp (r/λ), where r is the rate of increase of the population before t = 0. A numerical method for obtaining the asymptotic birth rate for a general net maternity function with the same time dependence is outlined. 27 1...
Journal Article
Demography (1978) 15 (1): 135–137.
Published: 01 February 1978
...P. Cerone; A. Keane Abstract The asymptotic birth rate for a one-sex population in which the net maternity function changes to one of bare replacement was first discussed by Keyfitz and has since been studied by several authors. The present generalization allows for a time dependent transition from...
Journal Article
Demography (1979) 16 (3): 475–479.
Published: 01 August 1979
... The Population Council, New York, New York 10017 Robert G. Potter Department of Sociology, Brown University, Providence, Rhode Island 02912 J. Menken (1979) has recently shown that the asymptotic annual birth rates generated by a family-building model spe- cifically designed to allow for seasonally varying...
Journal Article
Demography (2008) 45 (3): 641–650.
Published: 01 August 2008
.... In this article, I introduce a stable, open-population model in which cohort net migration is proportional to births. In this case, the migration-fertility trade-off can be studied with particular ease. I show that although migration can increase the growth rate, which tends to make the age distribution younger...
Journal Article
Demography (1979) 16 (1): 103–119.
Published: 01 February 1979
... on fertility can be quite substantial, but that the birth rate when seasonal variation is occurring is approximated well by the birth rate calculated when conception rates are constant at their mean. These results indicate that further documentation of seasonality in conception rates and exploration...
Journal Article
Demography (1983) 20 (1): 79–86.
Published: 01 February 1983
... of a population given a certain change in the initial net maternity function. A question of both theoretical and practical importance is: what changes in the age- specific birth rate are needed in order to approach a given asymptotic behavior? In other words, we have the converse problem. Nortman and Bongaarts...
Journal Article
Demography (1975) 12 (3): 447–454.
Published: 01 August 1975
... then causes the transition. For both of these reproductive changes, the short-time birth trajectory is found in terms of the "reproductive value." The reproductive value can be tabulated along with other vital rates for a popula- tion as it does not depend upon the popu- lation age distribution. The short...
Journal Article
Demography (1967) 4 (2): 680–687.
Published: 01 June 1967
... birth series B 1(t) and B 2(t), which undergo a changing but com- mon regime of specific fertility and sur- vival rates. For any age a, and time t, those rates are specified in a cohort sense. That is to say, we select as independent variables the current time, t, and moment of birth of each cohort, t...
Journal Article
Demography (1972) 9 (4): 549–567.
Published: 01 November 1972
... to the above charac- terization, those in the k t h cohort who survive to the end of the i t h age group would produce C(k)T(k, i) births on the average per married person during the i t h age interval. Now recall that the relationship be- tween cohort rates and period rates is easily seen when the period...
Journal Article
Demography (1982) 19 (4): 439–445.
Published: 01 November 1982
... of a population subjected to time-constant patterns of fertility and mortality tends asymptotically to a fixed form. In looking for a proof of these theo- rems, we might start by noticing that the age composition of a population, once the vital rates are given, depends only on the birth sequence. Therefore we...
Journal Article
Demography (1976) 13 (1): 37–44.
Published: 01 February 1976
... of the estimators is outlined. The model is applied to four sets of data. 26 1 2011 © Population Association of America 1976 1976 Live Birth Maximum Likelihood Estimator Percent Level Conception Rate Continuous Time Model References Jain A. K. ( 1969 ). Fecundability and Its...
Journal Article
Demography (2000) 37 (2): 187–192.
Published: 01 May 2000
... a constrained maximum-likelihood framework for demographic hazard modeling. As an application, we combine panel survey data and birth registration data to estimate annual birth probabilities by parity. The general fertility rate obtained from registration-system data constrains the weighted sum of parity...
Journal Article
Demography (1978) 15 (4): 559–569.
Published: 01 November 1978
... the following results for the quan- tities of interest: x, == 2K(1/2 1/2), r, == 2K, e, ==K, o, ==K, whereK = Po[(l - x)G + x(l - G)] is the "demographic momentum" of the initial population illustrated in Example 1. In this case, everything (except the birth rates {btl themselves!) is asymptotically con- stant...
Journal Article
Demography (1987) 24 (3): 431–438.
Published: 01 August 1987
... at age x, m(x) the rate of bearing daughters, and l(x) the fraction of newborn females who will survive to age x, then the number of births at.time t is given by (Espenshade, Bouvier, and Arthur, 1982) where B(t) = Iooo A(x, t) m(x) dx, t 0, (1) A(x, t) = B(t - x)l(x) + S(x)l(x) (2) with S(x) = f~ [I(u...
Journal Article
Demography (2013) 50 (3): 777–801.
Published: 15 March 2013
... of male period life expectancy at birth from the UN World Population Prospects (WPP) 2008 Revision from 1950 through 2005 (United Nations 2009 ). Period life expectancy refers to the life expectancy of a hypothetical cohort subjected to current mortality rates throughout its life (Preston et al. 2001...
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Journal Article
Demography (1983) 20 (3): 285–298.
Published: 01 August 1983
... parlance) of the birth trajectory of the population. Using data for the United States from the twentieth century, it is shown that variations in the number of births are consistent with the model discussed. 7 1 2011 © Population Association of America 1983 1983 Vital Rate Limit Cycle...
Journal Article
Demography (1969) 6 (3): 301–322.
Published: 01 August 1969
... distributions would continue to have dis- similar age distributions.) We now give some corollaries of the weak ergodicity theorem: that the crude birth, death, and growth rates are also asymptotically independent of the age distribution in the remote past. The fe- male birth rate at time t may be defined...
Journal Article
Demography (1969) 6 (3): 287–299.
Published: 01 August 1969
... Period Cyclical Model Model Life Table Fertility Schedule References Brauer A. ( 1961 ). On the characteristic roots of power-positive matrices . Duke Mathematical Journal , 28 , 291 – 296 . 10.1215/S0012-7094-61-02840-X Coale Ansley J. ( 1965 ). Birth rates, death...
Journal Article
Demography (1966) 3 (2): 537–544.
Published: 01 June 1966
... characteristics in common at a given time, and advances this population forward through time by subjecting it to the relevant class-specific birth, death, and net migration rates. The model is dynamic but essentially aspatial. Spatial considerations are accommodated by rep- licating the analysis over as many...
Journal Article
Demography (1979) 16 (2): 329–338.
Published: 01 May 1979
... the eigenvector equations. We have (4) This equation Ir) = 0 has a unique posi- tive real root r which is called the growth rate or Malthusian parameter. The be- havior of the birth sequence B(t) is domi- nated by the real root r of the Lotka equa- tion and we have We recall some properties of the birth sequence...