Another coastline paradox often discussed in college science classes. How fast does an oblique wavefront propagate as it hits the shore at a more and more perpendicular attitude? It actually approaches an infinite speed at the limit. However, the professor would be smart to add that this is purely a phase speed that carries no information content whatsoever.

Likewise, your contribution adds absolutely no informational content to the discussion :-) :-) :-) :-) :-)

It's not hard to analytically solve the power-law forms (unlimited growth) but the self-limited foms need numerical solutions. In lieu of solving numerically, I have had good success modeling this limiting behavior with two damped exponentials, which essentially mimics the hM(t) and hG(t) terms that you have in Eq. 7. The following is an impulse response to a delta discovery @ T=1900:

from http://mobjectivist.blogspot.com/2006/02/decomposing-reserve-growth.html

It looks like this when put on top of a real reserve growth curve:

Whether this is worth doing, and whether this is mathematically valid, I have to ponder a bit. But since you essentially came up with this idea independently of me, I think it is worth pursuing.