ECO612 ASSIGNMENT 1 SOLUTION FALL 2023 | ECO612 ASSIGNMENT 1 SOLUTION 2023 | ECO612 ASSIGNMENT 1 2023 | POPULATION ECONOMICS | VuTech
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Question No. 1:
The Case:
Population growth is the process of increase in the number of human
beings in a population. However, births, deaths and migration are major
factors that affect the population growth. According to Census 2017, the
total population of Pakistan was 20,768,0000, whereas, male population was
106310000 and female population was 101,340,000. Suppose that total number
of births in Pakistan were 500,0000 and total number of deaths were
333,0000, whereas, number of women of age between16-50 were
340,0000.
Requirements:
Keeping in view above given facts and figures about population growth calculate and interpret the followings rates;
1. Fertility rate
2. Death rate
3. Rate of natural increase
4. If population of Pakistan is growing at the rate of 1.5 % how long it
will take to double the population ?
Solution:
Let's break down the calculations for each of the rates.
Fertility Rate:
Fertility rate is the average number of children born to a woman during her reproductive years.
Fertility Rate = (Total number of births / Number of women aged 16 - 50) * 1000
Fertility Rate = (500000 / 3400000) * 1000
Fertility Rate ≈ 147.06 births per 1000 women aged 16 - 50
Death Rate:
Death rate is the number of deaths per 1000 people in a population over a certain period.
Death Rate = (Total number of deaths / Total population) * 1000
Death Rate = (3330000 / 207680000) * 1000
Death Rate ≈ 16 deaths per 1000 people
Rate of Natural Increase:
Rate of natural increase is the difference between the birth rate and the death rate.
Birth Rate = Total number of births / Total population
Death Rate = Total number of deaths / Total population
Rate of Natural Increase = Birth Rate - Death Rate
Rate of Natural Increase = (500000 / 207680000) - (3330000 / 207680000)
Rate of Natural Increase ≈ 0.0024 or 0.24% per year
Doubling Time:
The time it takes for a population to double can be calculated using the rule of 70. The rule of 70 states that you can estimate the doubling time of a population by dividing 70 by the annual growth rate.
Doubling Time ≈ 70 / Annual Growth Rate
Doubling Time ≈ 70 / 1.5
Doubling Time ≈ 46.67 years
Therefore,
Fertility Rate ≈ 147.06 births per 1000 women aged 16-50
Death Rate ≈ 16 deaths per 1000 people
Rate of Natural Increase ≈ 0.24% per year
If the population of Pakistan is growing at 1.5%, it will take approximately 46.67 years to double.