Why did the Spanish begin calling the islands Caimanas or Caymanes?

The Spanish began referring to the islands as Caimanas or Caymanes by 1530 because of the alligators (caimanes) that were reported to be native to the area.1

Prior to this, the islands were initially named Las Tortugas by Christopher Columbus in 1503 due to the abundance of sea turtles found in the surrounding waters of the West Indies.1