Abstract
Lotka's Stable Population Theory is essentially a one-sex model and, in general, it leads to the inconsistent result of two different intrinsic growth rates for the two sexes. This paper is an attempt to remove this anomaly by building a general stable population model treating sex and age simultaneously. The results are derived by a method analogous to Lotka's, viz., by expressing the birth function in the form of an integral equation, the solution of which gives the consistent intrinsic growth rate. New concepts that are introduced include the intrinsic age-specific birth rates and the intrinsic gross and net reproduction rates for males and females. These intrinsic rates for the two sexes can coexist in a stable population unlike the same rates in the conventional sense which are sex-wise internally inconsistent. Seven specific forms of the general model are considered and applied to data for the United States, 1963.
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