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The man is pretty out of touch with nature. This includes his dog. The man is not friendly towards his dog, he is detached and aloof. Despite not really liking the man, the dog tries to give strong hints (as much as a dog can give) to stop and make camp. The man, in his stubbornness, does not heed the dog’s signals. It is only when the man is about to freeze to death that he summons his dog. Really, he wants to turn his dog into a sleeping bag but by this time the dog is on to him. The dog only acted for the man out of fear. Once the man is turning into a Popsicle, the dog was moved on.
They relationship between the man and the dog was most likely master and slave