But if you apply simple statistics to the situation it does seem possible that you are killing off the ich over long periods of time where eventually the population is small enough, less likely to find a host, and more likely to be killed by the UV, and eventually the population will approach and possibly reach zero.
Maybe. But the ich is constantly reproducing. This discussion has been going on for many years. If UV COULD eliminate ich, a mfg certainly would have a good scientific study proving the value of their UV unit. Every publication I've ever seen says the opposite. Many factors can reduce ich populations, making it appear its gone. Then, it reappears. Usually at the worst possible time. Until there is more than just anecdotal evidence, I'll stick with the science: a fallow tank is the only way to eliminate ich permanently.
I realize this is a hot topic with many opinions and perhaps unconventional but it is at least logical enough to consider. I don't believe that the ich population will pick up the pace of reproduction as stated earlier when their numbers diminish. That implies that ich knows there is a UV source in the plumbing waiting to kill it. I think the entire topic of ich has been over thought and people are giving the ich parasite a little too much credit. IMHO ich is nothing more than another parasite and UV is, by published research, completely effective at killing parasites, given the right size and resident time. The fact is that there is a period of it's life cycle where it exists in the water column. I think we can all agree on that. In my system my UV light is over sized (used for small pools), high wattage and the last item in my return flow back to the tank. 100% of all the return flow goes through the UV cell. I believe that in my tank my return flow through the UV cell is killing more parasites with each pass then are being reproduced in my DT. Therefore over time, perhaps a long time my theory is that the population has been either eliminated or reduced to such a small size that it has had no effect on my tank.
I am not trying to change conventional thinking, just posing a potential alternative. The fact remains that I had ich problems, for a long time. Within a month of putting in the UV system the ich problem went away and I have not seen it since, some 9 months later. Coincidence? maybe. Did the hand full of infected fish develop immunity? maybe. Whatever happened in my tank I like it.
Open minds breed change and discovery. If we didn't think out of the box where would we be. In the 19th century Bayer Pharmaceutical Products offered "Heroin-Hydrochloride" over the counter as a cough suppressor. I am glad people keep searching for new solutions.