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accelerated modernization age specific female age specific fertility assumed capita in thousand Coale and Demeny columns constant corresponding demographic module Demographic Transition differential equations dummy variables Economic Development economic growth economic module estimated expectancy at birth female and male fertility depressing effects function G equation given in Table GNP per capita gross reproduction rate growth of GNP Habakkuk increase in population increases in GNP initial conditions y(0 initial GNP initial gross reproduction Keyfitz labour inputs less developed countries level of development levels of GNP long run effects Model Life Tables mortality level 13 natural increase parameters percent piecewise linear function POPULATION EXPLOSION population growth population levels projection matrix rate of change rate of modernization rate of technological rates of natural regression relations returns to scale saving ratio simulation runs specific female fertility structure survival coefficients technological progress thousand of 1970 U.S. dollars ULPR values of G West model zero