On the relationship between household composition and population age distribution
Bibliographic Data
| ID | 5139822 |
|---|---|
| Authors | Abraham Akkerman (0000-0001-8134-6465, University of Waterloo, corresponding author) |
| Year | 1980 |
| Volume | 34 |
| Issue | 3 |
| Pages | 525-534 |
| Publication date | 1980-11-01 |
| Open Access | No |
| Type | ARTICLE |
| Venue | Population Studies (JOURNAL) |
| Journal identifiers | ISSN: 0032-4728 • E-ISSN: 1477-4747 |
| Publisher | Informa UK Limited (PUBLISHER • GB) |
| DOI | 10.1080/00324728.1980.10410461 |
| PMID | 22077174 |
| OpenAlex | W2004691732 |
| Language | EN |
| Citations received | 9 |
| References cited | 12 |
Composition of households by age of head and by age of other household members has recently been presented in a convenient algebraic expression, the household composition matrix. It has been shown that this matrix operates as a linear transformation from the vector of household distribution by age of head to the vector of population age distribution. A further analysis will show that the first row of the matrix may be interpreted as representing a vector of average household fertility rates. If the linear relationship between household and population distributions is fully implemented, then a relationship between household fertility and the size of the youngest age group can be derived. If w is the population age distribution and w (1) is the number of persons in the youngest age group, then: where α is the first row of the household composition matrix with its first element eliminated, C is the household composition matrix with its first row and first column eliminated, and Ψ is the vector w with its first element, w (1) eliminated. Extension of this result will enable simultaneous projection of population and households, suitable for computer application to conventional five-year age groups
Age groups · Biology · Composition (language) · Distribution (mathematics) · Fertility · Geography · Matrix (chemical analysis) · Population · Sociology · Statistics · Transformation (genetics) · Vector (molecular biology) · Birth, Development, and Health · Chemistry · Demographic Trends and Gender Preferences · Demography · Insurance, Mortality, Demography, Risk Management · Mathematics
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| Citations per year | 0.2 |
|---|---|
| Citation span | 1982 - 2012 (31) |
| Highly cited | No |