> The number of the race of man is increasing.

It is not possible for the human carrying capacity of the earth to have been
exceeded, whilst at the same time having an increasing human population. Hence
my original assertion, that the carrying capacity has not yet been exceeded.


> The number of humans might  have been stable for thousands of years.

The population being stable implies that the birth and death rate
are exactly matched, ie, on average, each person has exactly one child.
I find this improbable.