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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 | Read the article
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