An urbanizing district in West Africa with an estimated mid-year population of 500{}000 re… — JAMB UTME

An urbanizing district in West Africa with an estimated mid-year population of $500{}000$ recorded $16{}000$ live births, $6{}000$ deaths, $3{}000$ in-migrants, and $1{}000$ out-migrants within a single year. What is the annual net population growth rate of this district expressed as a percentage?

Answer: 2.4 %

Answer

The annual net population growth rate of the district is

2.4\%

Total net population change combines natural increase (

16{}000 \text{ births} - 6{}000 \text{ deaths} = 10{}000

) and net migration (

3{}000 \text{ in-migrants} - 1{}000 \text{ out-migrants} = 2{}000

), giving a total increase of

12{}000

. Expressing

12{}000

as a percentage of the total mid-year population of

500{}000

yields

\frac{12{}000}{500{}000} \times 100 = 2.4\%

Step-by-Step Solution

Calculate the natural increase in population.

Natural Increase =

16{}000 - 6{}000 = 10{}000

individuals.

Natural increase represents the population growth resulting strictly from the surplus of births over deaths.

Calculate the net migration for the year.

Net Migration =

3{}000 - 1{}000 = 2{}000

individuals.

Net migration is the net balance between incoming migrants (immigration) and outgoing migrants (emigration).

Determine the total annual population gain.

Total Population Addition =

10{}000 + 2{}000 = 12{}000

individuals.

Overall demographic growth incorporates both natural increase and net spatial mobility.

Compute the net growth rate percentage.

Annual Growth Rate =

\left(\frac{12{}000}{500{}000}\right) \times 100\% = 2.4\%

Dividing total net gain by the base mid-year population and scaling by 100 converts absolute growth into an annual percentage rate.

Key Concept

Total Net Population Growth Rate (Natural Increase + Net Migration)

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