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Title The mathematics of population from Lambert to Lotka
Author VERON Jacques
Keywords Law of mortality, Logistic law, Malthusian population, Mean length life, Median length of life, Normal length of life, Population with a stable age distribution
Topics Demography, Historical demography - History of Demography, History of sciences, Logistic Curve, Probabilities, Process
Abstract In 1825, Benjamin Gompertz gives a mathematical formulation of the law of mortality, which, following a former one by Lambert (1772), relates survival to age. In 1844, Pierre-François Verhulst put forward a model of population growth in which the rate of growth reduces when the size of the population increases: it is the logistic function (Lotka will, from 1907, contribute largely to this field of population dynamics, especially on the stability of the age composition of a population).During the 19th century too, Wilhelm Lexis gives estimations of the normal length of human life, which would be observed in the absence of premature deaths, in childhood and adulthood.
Number 159, Fall 2002
Language   French
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