手法を比較

	Coale-Trussell Model	Gompertz-Makeham Law of Mortality
分野	人口学	人口学
系統	Regression model	Regression model
提唱年	1974	1860
提唱者	Ansley J. Coale & T. James Trussell	Benjamin Gompertz & William Makeham
種類	Parametric model of marital fertility by age	Parametric mortality (hazard) law for adult ages
原典	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.	Gompertz, B. (1825). On the nature of the function expressive of the law of human mortality. Philosophical Transactions of the Royal Society of London, 115, 513–583.
別名	Coale-Trussell Fertility Model, M-m Fertility Model, Model Marital Fertility Schedule, Coale-Trussell Doğurganlık Modeli	Gompertz-Makeham Model, Makeham's Law, Gompertz Law of Mortality, Gompertz-Makeham Ölümlülük Yasası
関連	4	4
概要	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.	The Gompertz-Makeham law is the foundational parametric model of adult human mortality. Benjamin Gompertz showed in 1825 that the force of mortality rises exponentially with age, and William Makeham added an age-independent background term in 1860 to account for deaths from causes unrelated to ageing. The combined law expresses the hazard of death as a constant plus an exponentially increasing component, capturing the dominant shape of adult mortality with just three parameters.