Conolophus Galápagos Iguanas The Galápagos land iguanas comprise the genus Conolophus of the Galápagos Islands (Ecuador). Previous Next Conolophus The number of species of this variable genus has always been disputed; the most current taxonomic surveys suggest that three species exist Galápagos Pink Land Iguana Conolophus marthae This critically endangered iguana is native only to the Wolf Volcano in northern Isabela Island of the Galápagos (Ecuador).