Zero Growth Calculator
Explanation

First the present global consumption, gc, is calculated by :
gc = pd * 1 + pi * (I/D)
where :

  • pd is the present population in the developing countries in billions. Set to 4.8.
  • pi is the same for the industrial countries. Set to 1.2
  • 1 is set as the value of the present consumption per capita in the developing countries
  • I/D is the present per capita consumption in the industrial countries divided by that of the developing countries. The ratio is assumed to be 10.

    Then the consumption in the industrialized countries in 50 years, fic, is calculated by :
    fic=1.2*10*(1+(agi/100))^50
    where:

  • agi is the annual growth rate in per capita consumption in the industrialized countries.

    The permissibel consumption in the developing countries is then (gc - fic) and the permissibel growth rate, agd, for the per capita consumption in the developing countries, assuming a population growth of 60%, can be found by
    agd=(((gc - fic)/(4.8*1.6))^(1/50) - 1) * 100

    Calculating the remaining figures is now an easy matter.

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