A discrete-time two-sex age-specific stochastic population program incorporating marriage
Bibliographic Data
| ID | 10969398 |
|---|---|
| Authors | J H Pollard (Macquarie University, corresponding author) |
| Year | 1969 |
| Volume | 6 |
| Issue | 2 |
| Pages | 185-221 |
| Publication date | 1969-05-01 |
| Peer Reviewed | Yes |
| Open Access | Yes |
| Type | ARTICLE |
| Venue | Demography (JOURNAL) |
| Journal identifiers | ISSN: 0070-3370 • E-ISSN: 1533-7790 |
| Publisher | Duke University Press (PUBLISHER • US) |
| DOI | 10.2307/2060391 |
| OpenAlex | W2088263588 |
| Language | EN |
| Citations received | 4 |
| References cited | 14 |
A discrete-time two-sex stochastic population model is developed. All entities (single males, single females, or couples) are grouped according to their ages, and during a unit time interval, each entity has a choice of several outcomes with fixed conditional probabilities. The model assumes that the number of marriages between men aged x and women aged y is equal to the minimum of the number of men aged x desiring marriage with a woman aged y and the number of women aged y desiring marriage with a man aged x. It follows that if a large excess of males of a11 ages is maintained in the population, the female component grows as a multi-type Galton-Watson process. Under such circumstances, the females have perfect freedom in their choice of marriage partner, and the use of a multi-type Galton-Watson process is very realistic. The same result is true for the male component of the population. Ir there are no males (or females) , no marriages take place, so the model is realistic on this score also. A complex computer program is described, and a detailed numerical example given
Combinatorics · Component (thermodynamics · Interval (graph theory · Population · Sociology · Statistics · Demography · Mathematical and Theoretical Epidemiology and Ecology Models · Mathematics · Statistical Distribution Estimation and Applications · Stochastic processes and statistical mechanics
| Unique citing works | 4 |
|---|---|
| Citations per year | 0,07 |
| Citation span | 1970 - 1977 (8) |
| Citation velocity | historical |
| Highly cited | No |
| Citation types | Neutral: 4 |