Right.yes - I wasn't clear - I meant the 'functioning nitrifying mass' (not including the dormant ones that aren't doing anything) would be the same if the level of ammonia is the same or am I misunderstanding?
So [NH3]initial gives us (K)initial. Decreasing NH3...say, by 50%...would give us [NH3]final = 1/2[NH3]initial. In theory, [NH3]final should yield (K)final = 1/2(K)initial.
The catch being, unlike most organisms, bacteria can exist in a dormant state, so even though [NH3]final = 1/2[NH3]initial, (K)final = (K)initial. However, 1/2(K)final is dormant.
Now, if we bump [NH3]final up to [NH3]initial, we have enough to support, in an active state, (K)initial.
The question becomes, do conditions and circumstances exist that would allow for an overall increase in biomass before the inactive bacteria become active?
Hypothetically, if such conditions existed, we could end up with a situation where [NH3]initial —> 1.5(K)initial, because reproduction would occur before activation. Dormant bacteria would stay dormant, but overall biomass could increase.