It is a central tenet of Communist economic theory that Capitalism requires a continuous increase in demand in order to hold together, i.e. Capitalism is itself a Ponzi or pyramid scheme.
Is this guy a communist?
If Capitalism is indeed a good theory (which I believe it is) then it should work regardless of changes in demographic trends. To suggest otherwise is to suggest that Capitalism is wrong, and that maybe Marx was right.
As I understand it, the person who came up with the life-cycle theory of the economy was Milton Friedman.