Survive in aquariums: Yes
Survive in warm ponds: Yes
Survive in cold ponds: Depends on species

Fairy shrimp, or Anostraca, show up occasionally in ponds or can be bought. They swim with their many appendages waving above them, as if they are doing the back float. There are about 25 species, including the very well known brine shrimp (see above) which prefers brackish water. Most species can produce either live young or leave eggs, which upon drying completely, hatch when again wet. These species are often used to feed fish. Maximum lengths are less than an inch. A few species include Branchinecta paludosa and Eubranchipus vernalis. There are in fact some arctic species like Artemiopsis stefanssoni.
Information used with Permission from Robyn