Abstract
The demographic transition theory developed on the basis of the experiences of western nations posits that a nation moves from a high birthrate-high death rate to a low birthrate-low death rate situation. Fertility declined sharply during the depression period and rose as the economic conditions improved; the authors take time and the state space as continuous and work out a diffusion approximation of the fertility trajectory. By considering the total fertility rate which is age standardized the fluctuations arising from changing age distrubution are eliminated. This model is applied to Canadian fertility during the period 1921-76. The value predicted for 1980 by the model is 1826. To see how the draft coefficients change the log-normal approximation was performed for the periods 1941-60 1941-76 and 1961-76.
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