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| Relational Gompertz Fertility Model× | Total Fertility Rate× | |
|---|---|---|
| Field | Demography | Demography |
| Family≠ | Regression model | Process / pipeline |
| Year of origin≠ | 1984 | 2001 |
| Originator≠ | William Brass; standard refined by Heather Booth | Classical demographic index (formalized by Preston, Heuveline & Guillot) |
| Type≠ | Relational parametric model of the cumulative fertility schedule | Period summary fertility index synthesizing age-specific fertility rates |
| Seminal source≠ | 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 ↗ | Preston, S. H., Heuveline, P., & Guillot, M. (2001). Demography: Measuring and Modeling Population Processes. Blackwell. ISBN: 9781557864512 |
| Aliases≠ | Brass Relational Gompertz Model, Gompertz Relational Fertility Model, Relational Gompertz Function | TFR, Period total fertility rate, Sum of age-specific fertility rates, Toplam Doğurganlık Hızı |
| Related | 4 | 4 |
| Summary≠ | 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 total fertility rate (TFR) is the central period measure of fertility in demography: the average number of children a woman would bear over her lifetime if she experienced, at each age, the age-specific fertility rates observed in a given year. Computed by summing age-specific fertility rates across the reproductive ages, the TFR removes the influence of population age structure and gives a single, intuitive figure — children per woman — that is comparable across populations and over time. |
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