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| Relational Gompertz Fertility Model× | Coale-Trussell Model× | |
|---|---|---|
| Dziedzina | Demografia | Demografia |
| Rodzina | Regression model | Regression model |
| Rok powstania≠ | 1984 | 1974 |
| Twórca≠ | William Brass; standard refined by Heather Booth | Ansley J. Coale & T. James Trussell |
| Typ≠ | Relational parametric model of the cumulative fertility schedule | Parametric model of marital fertility by age |
| Źródło pierwotne≠ | Booth, H. (1984). Transforming Gompertz's function for fertility analysis: The development of a standard for the relational Gompertz function. Population Studies, 38(3), 495–506. DOI ↗ | Coale, A. J., & Trussell, T. J. (1974). Model fertility schedules: variations in the age structure of childbearing in human populations. Population Index, 40(2), 185–258. link ↗ |
| Inne nazwy≠ | Brass Relational Gompertz Model, Gompertz Relational Fertility Model, Relational Gompertz Function | Coale-Trussell Fertility Model, M-m Fertility Model, Model Marital Fertility Schedule, Coale-Trussell Doğurganlık Modeli |
| Pokrewne | 4 | 4 |
| Podsumowanie≠ | The relational Gompertz model expresses any population's cumulative fertility schedule as a simple linear transformation of a fixed standard schedule, after both are mapped through a double-logarithm (gompit) transform. Developed by William Brass and given its widely used standard by Heather Booth, it characterizes the entire age pattern of fertility with just two parameters — α, which shifts the schedule earlier or later, and β, which controls how concentrated or spread out childbearing is. This makes it a robust tool for smoothing, fitting, and especially for correcting and estimating fertility from the limited and error-prone data common in developing countries. | The Coale-Trussell model is a two-parameter parametric description of the age pattern of marital fertility, introduced by Ansley Coale and James Trussell in 1974. It expresses observed age-specific marital fertility as a standard natural-fertility schedule scaled by an overall level parameter M and modulated by an age-increasing function of deliberate birth-control intensity, summarized by a single control parameter m. |
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