Asymptotic Implications of Fluctuating Nuptiality and Fertility Considering both Sexes Together

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Abstract
In this paper we have suggested a procedure of measuring population change which takes into account fluctuating sequences of nuptiality and fertility schedules as they reflect a population’s response pattern to its changing socioeconomic conditions. Through numerical experiments, the two-sex population model of cyclical change, which considers the interaction between sexes through marriage, is seen to converge to an asymptotic stability. The advantage of such a convergence is to enable comparative investigations, in terms of a set of asymptotic parameters, of rather complex series of nuptiality and fertility changes and their implications for short-run oscillation in population structure as well as for long-run population growth.