Jennifer,
I posted a link about the Titicaca raised beds earlier in the
thread basically they would
berm up the earth in a low lying area. Taking soil from either side of the bed creating trenches along the bed.
Water would fill the trenches and not only irrigate but protect the bed from frost. Continued trenching would replace the depleted soil with fertile soil from the trench.
In addition, reed beds or floating gardens made of reeds and then having fertile soil from the lake bottom placed on the platform would be used for
garden beds. Some photo's even show houses floating on reed beds.