Try reading a good book on training search and rescue tracking dogs and other high level scent trained dogs used in law enforcement, etc...and your thinking about this will be much broader. It is worth realizing what is possible and how sophisticated scenting can be. For example, a dog doesn't just follow "your" scent if he is tasked with tracking you. The scent that drops off you like fine dust or smoke is movable and temporary. It can blow away, dissipates fairly quickly, and can get caught against nearby vegetation and objects. That is partly why there is a difference in air/scenting vs trailing vs actual tracking. There is other scent one leaves by touching something with your clothing, boots or bare skin. (I think that is the scent we leave behind the can quickly burn out a good location.) But good dogs shift their attention as a track ages to disturbance scent (maybe confirmed by actual scent of the target) which is the scent released when one walks on and crushes vegetation and the microbiome of the soil...think fungus, bacteria, earthworms and bugs and who knows what. All that stuff reacts and emits odor. This is the most persistent trail and reportedly highly trained dogs discriminate between tracks sometimes by the size of the person leaving the trail, which leaves a different signature hours or a couple days later. So for purposes of hunting deer, realize that a deer might detect a track in the snow when you wear rubber boots and be interesting or even alerted, but it may not be able to determine that you are human. The same with careful use of rubber boots. There is no way to avoid leaving sign that "something" walked here, but scent control, avoiding touching vegetation with hands and scent permeable boots can be very important. As for the smoke like blowing scent? That is why we pay attention to staying downwind.