Task:
1). What does the Malthusian model assume about the relationship between income per capita and CBR (positively related, negatively related, or not related at all)? And between income per capita and CDR? And between population and income per capita? How can the relationship between population and income per capita be explained in the context of an
agrarian economy and the land/labor ratio?
2) Imagine that a society is characterized by the Malthusian logic depicted below. If initially population is equal to 3,250 what is the resulting income per capita? And the crude birth rateand the crude death rates that result from that income per capita? Given your previous results, what will happen to population in the next periods (remember: we assume there is no migration so all the changes in population come from differences between CBR and CDR)? When will that increase or decrease in the population stop? What will be the final size of the population, income per capita, and crude birth and death rates after the adjustment ends?
3) Now assume that population is equal to 2,500. If technology improves and, consequently, the technology schedule shifts from TS1 to TS2 (see graphs below), how does income per capita change if, initially, population remains at 2,500? What is the crude birth rates and the crude death rates that results from the income per capita that you found in the previous question? What 1will happen to population in the next period: will it increase or decrease? When will that process stop? What will be the size of the population, the income per capita, and the crude birth and death rates after the adjustment ends? Compare those results with the initial situation in which there was 2,500 people with an income per capita of $500.
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