Extinction of a Line of Descent

  • Alfred J. Lotka
Part of the The Springer Series on Demographic Methods and Population Analysis book series (PSDE)


The reasoning by which we have arrived at the notion and measure of the intrinsic rate of increase of the population is based on the general fertility function m(a).In consequence, our conclusions represent the mean, the collective result as it presents itself in a population taken as a whole. The functions of fertility by the order of the child m n (a) that we have just introduced permit us to push our analysis further. The average rate of increase r does not apply equally to any element of the population taken randomly, for example to the descendants in a direct line (carrying the same family name) of some individual.


Geometric Series Male Birth Female Birth Newborn Male Eighth Column 
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Copyright information

© Springer Science+Business Media New York 1998

Authors and Affiliations

  • Alfred J. Lotka

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