If consumption did not grow, human world would stop. Define the problem. Plan a transition. Doesn't show recycling, but figure shows net effect. Exponent is straight line on log plot.
Birth rate is still twice the death rate.
Stopping population growth will not stop human consumption. Compound hyper-exponential is only in complex human systems. Fundamental constraint is system stability. Two parameter feedback system. In complex systems, stability must be measure in each of the input variables.