...growth is the point of inflection of the population growth curve. After that point is passed the rate of growth becomes progressively slower, till finally...the denominator of (i). Thus in the simplest form y ■ ndb=* (ii) the curve describes the growth in a single epoch or cycle. By retaining further terms...

...of growth becomes progressively slower, till finally the curve stretches along nearly horizontally, in close approach to the upper asymptote which belongs to the particular cultural epoch and area involved.8 Postulate 5 is thus derived from observation of specific cases. It is inductive and empirical....

...4. — POPULATION GROWTH OP THE UNITED STATES growth curve. After that point is passed, the rate of growth becomes progressively slower, till finally...retained in the exponent of e in the denominator. Thus in the simplest form, A: y = AT HIV • the curve describes the growth in a single epoch or cycle....

...growth is the point of inflection of the population growth curve. After that point is passed the rate of growth becomes progressively slower, till finally...to the particular cultural epoch and area involved. All of these factors must certainly be taken account of in a mathematical theory of population growth....