Our first Anatolian lived to be nearly 16 and a half years old, and nothing was lost to predators on the properties when Akin was in charge! (including owls, who'd been taking some of our ducks and chickens!) He respected fences, but if there was a way through - he'd guard that area TOO. King of all he surveyed, more or less!
When he got old, we adopted a "rescue" Anatolian. Stewart respected fences, but hated confinement (like a stall or corral) - he'd also been abused by a shock collar and had issues with anyone reaching for his collar. We worked hard on rehabilitating him, but after a year and a half, he bit me, nearly severing my index finger and doing a lot of damage to my hand. And I had NOT reached for him - but he knew I was planning to put him away (we had guys cutting trees on the place). I gave him another chance, but a couple months later he came up out of a sit and bit my other hand! That was the end of Stewart. On the Anatolian list someone said that "Stewart had a lot of screws loose and Karen was able to tighten most of them." - in the end he was too dangerous and we had to put him down. (He was a good animal guardian, though.)
2 weeks after Stewart was euthanized, I watched two adult coyotes come out of my barn aisle! I freaked! We had put a down payment on an Anatolian puppy, but knew it would be a year or more before she could take over guarding duties... that's when Rachel (of Saber-the-wonder-mini fame) saved me and we took over as Dyami's home. Dyami is a harlequin Great Dane. I thought that just the BIGGNESS of him as well as his bark would be enough to keep the coyotes away - but he really exceeded my hopes and became an active guard dog (and he thinks he's a herding dog too - tries to "help" us in that way!) He helped to raise our Anatolian puppy and the two of them are a force to be reckoned with should anything unwanted come on the property.
The mere size of such dogs is a visual deterrent for people coming onto the property, but all of our Anatolians (and Dyami) are good about allowing human visitors. (But you have to watch out for Dyami's tail!)
I love the Anatolian breed - our current girl (Midilli) is pretty nearly as great a dog as Akin was... and that's saying a lot. She has had several "episodes" of learning to respect the fencing, but we knew that would be a part of her training. A livestock guardian dog has a mind of it's own, which is what makes them good at their jobs. But they also figure that if they can see more property, they should guard that TOO. All the LGDs I think are very different to work with than other breeds of dogs.