Sorry for highjacking this thread. Skip ahead if you don't care about fish farming.
@zoomaniac
They're not really 'institutions' (at least not in the way I understand the word) but commercial enterprises for supplying the fish marked. Most are in southeast Asia, especially West Malaysia, Singapore and on Java in Indonesia. Arapaima also in South America, especially Brazil and Peru. Scleropages leichardti in Australia.
For breeding arapaima and arowana most use big outdoor ponds but the arowana can also be bred in big concrete tanks (there has also been breeding of arowanas in big aquariums like at Bristol Zoo but this is very rare). Among arowanas Scleropages leichardti, S. jardinii, S. formosus (including its variants that many now believe are separate species: S. aureus, S. legendrei and S. macrocephalus) and Osteoglossum bicirrhosum are bred in fish farms but I don't know if there are farms that breed the African Heterotis niloticus because the demand for those is smaller. I have conflicting information about O. ferreirai and don't know if it raised in farms. It's also fish farms that breed many other species that have proven nearly impossible to breed under normal conditions in aquariums, e.g. red-tailed black shark. A species now extinct in the wild but easily available in the aquarium trade because of the fish farms. Many more common aquarium fish are also produced in huge quantities in farms, like freshwater anglefish and the deformed flowerhorn and parrot cichlids. For some species they also use hormones to help get them in the mood.
The arapaima are mainly bred for human consumption (in 2005 it was estimated that about 15% of the 50-60 tons of arapaima that was consumed per month in Manaus in Brazil was from fish farms
Farming the world's largest freshwater fish) and to be put into lakes in southeast Asia where people pay to be allowed to catch the fish. If you google arapaima+fishing many results are fishing trips to Thailand (one of many
Arapaima fishing Thailand). The Asian arowana are bred for the aquarium trade because according to Chinese belief that fish will bring good luck to the person owning it. Two of the more famous places for both arapaima and arowana are Qian Hu (the company mentioned by Zooish earlier. I believe they first started breeding arowana in the late 1990's and arapaima in 2003) that have departments in several countries and Max Koi Farm in Singapore. There are many more but most only maintain and breed one of the species. Google search for..
arapaima/pirarucu/arowana + farming/fish farm/aquaculture
..and you get literally thousand of results. There are also some videos on youtube. Most of the ponds aren't pretty but they work. With the Asian arowana they're now also breeding new color variants that can't be found in the wild (e.g. hybrid between red and green arowana) and if you have £58,000 you can even get a two-headed version. An insane price for what I think is animal cruelty but apparently some believe it will bring even more luck to the owner than a normal one
Siamese (Double Headed) Arowana
If you go to the Buy & Import in the last link you can find a list of some of the more famous Asian arowana breeders (because of CITES the only legal import of arowanas to Europe and North America are captive bred
Importing Asian Arowana). Tragically the commercial breeding hasn't stopped the overexploitation of the wild populations.