Thanks!
An interesting article. It mentions that "breeding dogs are no longer allowed on the island". I presume this is to avoid a feral population of dogs becoming established. However, I'm unaware that dogs pose particular threats to native wildlife, unlike cats.
Dogs are pretty terrible for nesting birds, especially ground nesting ones. Even on a leash they can cause birds to leave their nests.
Similar for other small animals;
https://www.gov.uk/government/publications/managing-visitors...