This is all so interesting to me, as in New Zealand we don't have any native predators. We do however have some
introduced pests, like rabbits, possums, stoats, deer, wild pigs and rats, (none of which should be here) but these are a problem to our native birds at natural bush habitats, rather than to us or our pets.
The main problem we have with dogs is pig hunting dogs that run off from their owners in the bush and go feral. They kill lambs and sheep who are grazing on the edge of the forests. Some of our neighbours have been out on night hunts to shoot them.
FWI a pig hunting dog is trained to run through the bush tracking the pig, it then grabs the pig by the neck and waits for the hunter to come with his knife and kill it. it is very hands on hunting and the dogs are naturally quite vicious because of it.
Now before you get upset,
the pigs are an officially listed pest and need to be culled - they are all eaten. Not wasted. We trap the stoats, poison the possums and shoot the deer and the rabbits.
Oh and we also don't have any snakes, crocs, or poisonous spiders-it's paradise.
Before humans came NZ was just full of birds and not much else.