手法を比較

	Relational Gompertz Fertility Model	Coale-Trussell Model
分野	人口学	人口学
系統	Regression model	Regression model
提唱年	1984	1974
提唱者	William Brass; standard refined by Heather Booth	Ansley J. Coale & T. James Trussell
種類	Relational parametric model of the cumulative fertility schedule	Parametric model of marital fertility by age
原典	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.	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.
別名	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
関連	4	4
概要	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.