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On Espenshade’s comments on Mitra’s generalization

In responding to Professor Espenshade's comment on my (Mitra, 1983) paper let me begin with his finding the title misleading in the sense that for below replacement fertility Espenshade et al.'s (1982) results are more general than mine. According to him, this is so because I have assumed that immigrant women adopt the fertility pattern of the host country immediately. In order to derive my results, I used their model equation (Espenshade et al., 1982 eq. [3]) as a starting point, obtained by them on the assumption of immigrant women's immediate adoption of the host country's reproductive behavior. So my assumption had to be the same as theirs. However, I did not remove the restriction as they did at the end of their paper, since I felt that interested readers can do that themselves and compare the results. Perhaps I was too presumptuous on that account and, therefore, in order to set the record straight I shall show in the following that the model is general enough to handle cases in which the ith generation descendants of the immigrants, experience changing fertility schedules mi(a) for i = 1, 2, . . . k 1 and all generations thereafter adopt the host country's fertility schedule m(a). When the process is in operation for an indefinite length of time, the number of female births B(T) at any given time , can be decomposed into the following: