What kind of dog does the man have? How does the dog react to the cold?

The dog is a wolf dog perhaps a wolf/Husky. The dog senses that it is too cold to travel. The dog knows this through instinct.

The dog did not know anything about temperatures. Possibly in
its brain there was no understanding of a condition of very cold, such
as was in the man’s brain. But the animal sensed the danger. I