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12 October, 22:28

Consider the following hypothetical population and compute the statistical measures below: #births = 50,000; #deaths = 10,000; #immigrants = 5,000; #emigrants = 20,000; mid-year population = 1,000,000. Show formulas and all relevant work.

BR =

DR =

APGR =

DT =

Adjusted (True) Growth Rate =

Adjusted (True) Doubling Time =

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  1. 12 October, 23:14
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    The birth rate refers to an average number of births in one year per thousand individuals in the population at mid-year.

    BR = (total birth in an annum / total population in mid year) * 1000

    BR = (50000 / 1000000) * 1000 = 50

    Death rate refers to an average number of death in an annum per thousand individuals in a population at mid year. Thus,

    DR = (total death / total population in mid year) * 1000

    DR = (10000 / 1000000) * 1000 = 10

    Annual population growth rate or APGR is calculated as:

    APGR = (Birth rate - Death rate) / Death rate

    APGR = (50 - 10) / 10 = 4.0 %

    Doubling time is the whole sum time needed for a population to get double in size. It is calculated as DT = ln (2) / growth rate

    70 / 4.0 = 17.5 years

    Thus, population will get double in 17.5 years.

    Adjusted (true) growth rate is equal to APGR + (NMR / Death rate)

    And NMR = [ (immigrants - emigrants) / total population] * 1000

    NMR = [ (5000 - 20000) / 1000000] * 1000 = - 15

    Thus, Adjusted (True) growth rate = 4.0 + (-15 / 10) = - 6%

    The adjusted (true) doubling time = ln (2) / Adjusted growth rate

    = 70 / - 6 = - 11.66

    This negative sign shows that it will never get double in such situation.
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