Question

Difficulty: HardPopulation Concepts and Growth Dynamics

In a given administrative zone in West Africa with an estimated mid-year population of 250000250{}000, a demographic survey recorded 75007{}500 live births and 25002{}500 deaths during a single calendar year. In the same year, records showed that 12501{}250 individuals moved permanently into the zone while 750750 individuals emigrated out. Based on these demographic statistics, what is the annual total population growth rate of the zone expressed as a percentage?

Answer: 2.2 %

Answer

The annual total population growth rate of the administrative zone is 2.2%2.2\%.
The total population growth rate integrates natural growth (live births minus deaths) and net migration balance (immigrants minus emigrants). With 50005{}000 net natural additions (2.0%2.0\%) and 500500 net migration additions (0.2%0.2\%), the total annual growth rate equals 2.2%2.2\%.

Step-by-Step Solution

1
Determine the natural population change
Natural Increase = Births - Deaths = 75002500=50007{}500 - 2{}500 = 5{}000
Natural population change isolates natural demographic events prior to factoring in net spatial mobility.
2
Calculate the Rate of Natural Increase (RNI) as a percentage
RNI=(5000250000)×100%=2.0%\text{RNI} = \left(\frac{5{}000}{250{}000}\right) \times 100\% = 2.0\%
Expressing natural increase relative to the mid-year population standardized as a percentage yields the natural growth rate.
3
Determine the net migration change and Net Migration Rate (NMR)
Net Migration = Immigrants - Emigrants = 1250750=5001{}250 - 750 = 500; NMR=(500250000)×100%=0.2%\text{NMR} = \left(\frac{500}{250{}000}\right) \times 100\% = 0.2\%
Net migration accounts for population gains and losses resulting from external spatial movements.
4
Sum the Rate of Natural Increase and Net Migration Rate
Total Population Growth Rate=2.0%+0.2%=2.2%\text{Total Population Growth Rate} = 2.0\% + 0.2\% = 2.2\%
Overall population growth rate is the sum of natural population growth rate and net migration rate.

Key Concept

Calculation of Total Population Growth Rate incorporating Natural Increase and Net Migration
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