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. If human systems do not stop the growth, an environment catastrophe will stop it. Bolero is the quintessential musical exponential. Technology has broken the bound to the land.