Some extensions of the keyfitz momentum relationship
Bibliographic Data
| ID | 10969852 |
|---|---|
| Authors | Keith Tognetti (Department of Mathematics, The University of Wollongong, Wollongong 2500, Australia, corresponding author) |
| Year | 1976 |
| Volume | 13 |
| Issue | 4 |
| Pages | 507-512 |
| Publication date | 1976-11-01 |
| Open Access | Yes |
| Type | ARTICLE |
| Venue | Demography (JOURNAL) |
| Journal identifiers | ISSN: 0070-3370 • E-ISSN: 1533-7790 |
| Publisher | Duke University Press (PUBLISHER • US) |
| DOI | 10.2307/2060506 |
| PMID | 992173 |
| OpenAlex | W1975793954 |
| Language | EN |
| Citations received | 4 |
| References cited | 2 |
A stable population, such that the total birthrateB(t) =Boerot, is abruptly altered by modifying the age-specific birth rate,m(x). The survivor function remains unaltered. The modified population ultimately settles down to a stable behavior, such thatB(t) =B1er1t. It is shown thatB1/B0 = (R0 −R1)/[(r0 −r1)R0Z1], whereR0,R1 are the net reproduction rates before and after the change, and expected age giving birth for the stable population after the change. The age structure and transients resulting from the change are also described. The effect of an abrupt change in the survivor functionl(x) is also investigated for the simple case where the change is caused by alteringl(x) toe−λxl(x). It is shown that the above ratio becomes, whereN refers to the numbers in the population,k =r0 + λ, andg(x) =m(x)l(x), the value before the change. A measure for the reproductive worth of the population is also established
Econometrics · Economics · Financial economics · Geography · Momentum (technical analysis · Sociology · Demography · Markov Chains and Monte Carlo Methods · Matrix Theory and Algorithms · Quantum chaos and dynamical systems
Application of the Demographic Potential Concept to Understanding the Russian Population History and Prospects
The momentum of population growth with time dependent net maternity function
The stable births resulting from a time dependent change between two net maternity functions
The long-term effects of time-dependent maternity behavior
| Citations per year | 0.08 |
|---|---|
| Citation span | 1978 - 2001 (24) |
| Highly cited | No |