I suspect that most dogs in the world live like those in Taiwan rather than those in the US - unleashed. We saw many sickly dogs, dogs with apparent skin problems, dogs with stitches, and injured dogs. A leash was a rare sight indeed.
While we did see many dogs that seemed to be uncared for, we also did come across dogs that were well-loved. During our visit, one of our accommodation sites was Leader Village Taroko. They had two dogs.
Among the two, this one was particularly friendly:
Here are their dog houses:
The hotel was located in the mountains, so there wasn't too much of a risk in roaming freely.