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Stable Population Theory

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Journal Article
Demography (1987) 24 (3): 431–438.
Published: 01 August 1987
...Pietro Cerone Abstract The paper extends stable population theory to include a constant stream of immigration. Previous attempts at tackling the problem have either restricted themselves to a below-replacement native population or else used an approach that does not produce the values of all...
Journal Article
Demography (1965) 2 (1): 567–578.
Published: 01 March 1965
... madres potenciales y a los trastornos provocados por el conflicto. Life Table Male Child Korean Population Korean Woman Model Life Table References 1. Abdel-Aty, S. H. “Life Table Functions for Egypt Based on Model Life Table and Quasi-Stable Population Theory,” Milbank Memorial Fund...
Journal Article
Demography (1969) 6 (3): 301–322.
Published: 01 August 1969
...David D. McFarland Abstract Expositions and elementary proofs are given for the basic theorems of stable population theory: That a population subjected to vital rates (not necessarily constant over time) satisfying certain postulates will eventually “forget” its original age distribution and take...
Journal Article
Demography (1986) 23 (2): 247–259.
Published: 01 May 1986
...Robert A. Pollak Abstract The ability of classical stable population theory to determine the equilibrium growth rate and age structure of a population from its vital rates in a single period depends on assuming that the observed maternity rates are equilibrium rates. This paper resolves the two-sex...
Journal Article
Demography (1980) 17 (1): 103–114.
Published: 01 February 1980
...Kenneth W. Wachter Abstract Goldman (1978) has proposed a formula derived from stable population theory for estimating growth rates from certain counts of younger and older sisters in a population. Computer microsimulation outputs show extraordinarily large statistical errors for estimation when...
Journal Article
Demography (1968) 5 (1): 439–442.
Published: 01 March 1968
... the stability of the regional age distributions, and this article continues the discussion by indicating the formulas for stable age-specific migration rates and the probabilities for each region. These formulas should be of some interest since most of the previous discussion in stable population theory deals...
Journal Article
Demography (1982) 19 (1): 125–133.
Published: 01 February 1982
...Thomas J. Espenshade; Leon F. Bouvier; W. Brian Arthur Abstract This paper reports on work aimed at extending stable population theory to include immigration. Its central finding is that, as long as fertility is below replacement, a constant number and age distribution of immigrants (with fixed...
Journal Article
Demography (1978) 15 (4): 499–507.
Published: 01 November 1978
...Noreen Goldman Abstract Based on stable population theory, a mathematical relationship is developed between the intrinsic rate of increase ( r ) of a population and the ratio ( Z ) of the average number of younger sisters ever born to the average number of older sisters ever born, for a random...
Journal Article
Demography (2011) 48 (1): 371–399.
Published: 17 February 2011
... and discuss the insights that can be obtained in the context of stable population theory. Second, I suggest a statistical model of household consumption as a function of household size and age structure to quantitatively evaluate the extent of economies of scale in consumption of energy-intensive goods...
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Journal Article
Demography (1976) 13 (2): 259–272.
Published: 01 May 1976
...James C. McCann Abstract This paper describes a method of estimating life expectancy at birth on the basis of crude vital rates. The method is derived from stable population theory and it furnishes good estimates insofar as the current crude vital rates of a population are close to its intrinsic...
Journal Article
Demography (1982) 19 (4): 549–565.
Published: 01 November 1982
...Thomas W. Pullum Abstract Associated with every real birth cohort of women is a set of probabilities { f k } of eventually having k daughters. With a variant of stable population theory, these probabilities are used to generate the entire probability distributions, as well as all moments, for all...
Journal Article
Demography (1991) 28 (3): 455–466.
Published: 01 August 1991
...Robert Schoen; Young J. Kim Abstract Although convergence to stability is typically a complex and irregular process, the Kullback distance provides a measure that moves consistently to 0 as a population becomes stable. The roots of the Kullback distance are in information theory...
Journal Article
Demography (1983) 20 (3): 285–298.
Published: 01 August 1983
... Oscillation Theoretical Population Biology Limit Cycle Period Stable Population Theory References Arthur W. B. ( 1981 ). Why A Population Converges to Stability . American Mathematical Monthly , 88 , 557 – 563 . 10.2307/2320504 Cohen J. E. ( 1976 ). Ergodicity of Age...
Journal Article
Demography (1967) 4 (2): 680–687.
Published: 01 June 1967
.... 2 Lopez , Alvaro ( 1961 ). Problems in Stable Population Theory . Princeton : Office of Population Research . 3 Lopez , Alvaro ( 1961 ). Problems in Stable Population Theory . Princeton : Office of Population Research . 4 Feller , William ( 1941...
Journal Article
Demography (1971) 8 (3): 389–400.
Published: 01 August 1971
...D. G. Schweitzer; G. J. Dienes Abstract The relations between fertility, mortality, growth rate and age distribution in closed populations have been derived by means of a set of differential equations based on the well known theory of chemical kinetics. The classical relations for stable...
Journal Article
Demography (1968) 5 (1): 382–409.
Published: 01 March 1968
... of population growth associated with the reverse projection-matrix, the stable age-distribution that pertains to the projection-matrix, the characteristic equation of the projection-matrix, and the latent roots of the characteristic equation. We also introduce some new indices that measure the “eventual...
Journal Article
Demography (1966) 3 (2): 537–544.
Published: 01 June 1966
... York : Technology Press of Massachusetts Institute of Technology and John Wiley & Sons . 2 Solow R. M. ( 1952 ). On the Structure of Linear Models . Econometrica , XX , 29 – 46 . 10.2307/1907805 3 Lopez Alvaro ( 1961 ). Problema in Stable Population Theory . Princeton...
Journal Article
Demography (1988) 25 (3): 429–441.
Published: 01 August 1988
... ). On the dynamics of populations with two age groups . Demography , 22 , 455 – 468 . 10.2307/2061072 Kim , Y. J. ( 1987 ). Dynamics of populations with changing vital rates: Generalization of the stable population theory . Theoretical Population Biology , 31 , 306 – 322 . 10.1016/0040-5809(87...
Journal Article
Demography (1982) 19 (4): 439–445.
Published: 01 November 1982
... . Theoretical Population Biology , 10 , 150 – 172 . 10.1016/0040-5809(76)90013-7 Leslie P. H. ( 1945 ). On the Use of Matrices in Certain Population Mathematics . Biometrika , 33 , 183 – 212 . 10.1093/biomet/33.3.183 Lopez A. ( 1961 ). Problems in Stable Population Theory...
Journal Article
Demography (1990) 27 (4): 617–637.
Published: 01 November 1990
...David B. Grusky; Thomas A. DiPrete Abstract Using the 14 annual cross-sections from the General Social Survey, we specify a “basic model” of attainment and describe the year-by-year fluctuations in its parameters. The results are partially consistent with theories describing the gradual growth...