I haven't come across specific data on when science first applied knowledge of the aquatic nitrification "cycle" to fish tanks. I have seen references to nitrification by bacteria in aquatic environments (likely lakes, rivers, etc) from the 1970's. When I entered the hobby in a serious way in the early 1980's, I was fortunate to have a good local fish store owned and staffed solely by serious hobbyists. I was told what to do without knowing why, and it worked.
It was in the mid 1990's that the team of scientists led by Dr. Timothy Hovanec discovered the actual species of nitrifying bacteria, which up until then had been incorrectly assumed the same as those in soils. Dr. Tim (as he likes to be called) set out the N
itrosomonas species responsible for converting ammonia to nitrite, and the assumed
Nitrospira species responsible for nitrite to nitrate. The
Nitrobacter species was shown to never have had any part in aquatic nitrification.
I say assumed because Dr. Tim did admit that they were unable to isolate the precise bacteria in the freshwater aquarium, so they assumed it would be N
itrospira from the marine aquatic environment. This has not to date, as far as I know, been refuted scientifically. However, we now know that in an established aquarium, it is not bacteria at all that handle nitrification, but archaea, which may well be why the "bacteria" was difficult to isolate.
This discovery is quite recent, and was made by a team of scientists from the University of Waterloo in Ontario, Canada. Archaea were initially considered as a form of bacteria, until scientific discoveries around 2005/6 proved that archaea is a distinct life form which is poart of a three-domain system known as archaea, bacteria and eukaryote. The aquarium discovery was published in 2011, and is available free here:
http://www.plosone.org/article/info%3Adoi%2F10.1371%2Fjournal.pone.0023281
I can't do it justice, so might as well go to the source.
OF course, using live plants in a new tank will eliminate any cycling issues, and is the safest method. The bacteria/archaea will still colonize, but in smaller numbers initially since the plants are able to out-compete them for the ammonia/ammonium. Fast-growing plants, and especially floating plants, do this very well.
Hope this helps.
Byron.