1). What does the Malthusian model assume I.I. about the relationship between income per capita and CBR (positively related, negatively related, or not related at all)? 1.2. And between income per capita and CDR? 1.3. And between population and income per capita? 1.4. 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 society is characterized by the Malthusian logic depicted below. CBR 100 80 40 25 10 CDR 500 2,000 3,00 3,900 Income per capita (y) Population (N) 1,000 750 400

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1). What does the Malthusian model assume
I.I. about the relationship between income per capita and CBR (positively related,
negatively related, or not related at all)?
1.2. And between income per capita and CDR?
1.3. And between population and income per capita?
I.4. 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 society is characterized by the Malthusian logic depicted below.
CBR
100
80
40
25
10
CDR
500
2,000
3,000 3,900 Income per capita (y)
Population (N)
1,000
750
400
275
TC1
500
2,000
3,000 3,900
Income per capita (y)
1
If we start with a population of 1,000 people...
2.1. What is the resulting income per capita?
2.2. And the crude birth rate and the crude death rates that result from the previous
income per capita?
2.3. Given your previous results, will the population remain at 1,000 (remember: we
assume there is no migration, so all the population changes come from differences
between CBR and CDR)? If not, will it tend to go upwards or downwards? Why?
2.4. What will be the final size of the population, income per capita, and crude birth
and death rates at which the system will reach an equilibrium?
3) Now, assume that the population is equal to 750. Imagine that technology improves and, as a
result, the technology constraint shifts from TCI to TC2 (see graphs below).
CBR
90
40
15
CDR
2,000
3,500
Income per capita (y)
Population (N) ↑
1,250
750
350
TC2
TC1
2,000
3,500
Income per capita (y)
2
3.1. How does income per capita change with the shift from TC1 to TC2 if, initially, the
population is at 750?
3.2. What are the crude birth rates and the crude death rates that result from the income per
capita that you found in 3.1.?
3.3. What will happen to the population in the next period: will it stay at 750? If not, will it tend
to go upwards or downwards? Why?
3.4. What will be the size of the population, the income per capita, and the crude birth and
death rates after the system reaches its new equilibrium?
3.5. Compare the results in 3.4 with the numbers you got in 2.4.
Transcribed Image Text:1). What does the Malthusian model assume I.I. about the relationship between income per capita and CBR (positively related, negatively related, or not related at all)? 1.2. And between income per capita and CDR? 1.3. And between population and income per capita? I.4. 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 society is characterized by the Malthusian logic depicted below. CBR 100 80 40 25 10 CDR 500 2,000 3,000 3,900 Income per capita (y) Population (N) 1,000 750 400 275 TC1 500 2,000 3,000 3,900 Income per capita (y) 1 If we start with a population of 1,000 people... 2.1. What is the resulting income per capita? 2.2. And the crude birth rate and the crude death rates that result from the previous income per capita? 2.3. Given your previous results, will the population remain at 1,000 (remember: we assume there is no migration, so all the population changes come from differences between CBR and CDR)? If not, will it tend to go upwards or downwards? Why? 2.4. What will be the final size of the population, income per capita, and crude birth and death rates at which the system will reach an equilibrium? 3) Now, assume that the population is equal to 750. Imagine that technology improves and, as a result, the technology constraint shifts from TCI to TC2 (see graphs below). CBR 90 40 15 CDR 2,000 3,500 Income per capita (y) Population (N) ↑ 1,250 750 350 TC2 TC1 2,000 3,500 Income per capita (y) 2 3.1. How does income per capita change with the shift from TC1 to TC2 if, initially, the population is at 750? 3.2. What are the crude birth rates and the crude death rates that result from the income per capita that you found in 3.1.? 3.3. What will happen to the population in the next period: will it stay at 750? If not, will it tend to go upwards or downwards? Why? 3.4. What will be the size of the population, the income per capita, and the crude birth and death rates after the system reaches its new equilibrium? 3.5. Compare the results in 3.4 with the numbers you got in 2.4.
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