My dog is a mix, and it's funny that you say you don't use Great Pyrenees often, as he is half Great Pyrenees! lol he's crossed with a Boarder Collie.
I've had him since he was 8 weeks old, and basically, I started bringing him out into the barn, and around the horses as often as I could. My horse LOVES anything small (kids, dogs, cats, etc), so he immediately struck up a liking for the dog. And with time, they both learned to respect each other (there was one incident with a tail that got stepped on, but it was the the hair on the tip, so no real harm occurred, and it was a good learning experience for them both).
Since I was outside so much, I used a longer leash (12 or 16ft) that I looped around my waist and clipped to the dog, so he would learn to follow me, pay attention and respect my space when I'm on the ground. I did it mostly while I was mucking stalls, or doing outside chores that didn't involve the horses. Once he grew up a little, I introduced a shorter leash (6ft), that I looped around my waist, so the dog had to stay right by my side while I was working with the horses (grooming, and leading them mostly).
When I was away from the barn, I worked with a professional trainer to get voice commands down perfectly (Sit, Stay, Come, Speak, Go Home, Lay Down, Heel, etc).
We took him out on his first trail when he was 2.5 years old, with a couple of very laid back, bombproof hack horses. We rode around an area that he knew (about 3km of trail), and brought him back a very happy, tired puppy!
He's 5 now, and still accompanies me on trails. We've also (because of the collie breed in him) got him herding horses now. We only use it in emergencies (horse's get out, etc), but it sure is handy.
Hope this helps!
Thank you kindly for the reply. Its useful however the animals will all be adults and as such was interested in teaching horse to respect the dogs. I train as a hobby, the certification was merely an extension I felt gave more credibility. I can out train many forms of aggression or predator out of a dog using non treat reward training with praise or. Mix of verbal/physical discipline. Depends on how independent or head strong the dog is, which depends on the owner and how strong his leadership position is in other dogs mind.
I tend to shy away from a treat bases training regiment as its merely the distraction vs the treat.....and a strong distraction will win 9 out of 10 times. As a result its far better to use treats after the ground works played down as absolute law for the dog. First and best is proper leash manners, without that all other training will be difficult, kudos to u for knowing this and trading with it.
How can you train the horse to fully respect the dogs in return? Help?