Big fields are huge advantages if used correctly. Most of my hunting areas are thick brush, which makes scent control very, very important. Coyotes will seldom cross open fields in daylight, so I hunt with the wind at my back and call across the field. That way, if the coyote tries to wind me, he will have to come out into the field. If he does that, I have the advantage and can shoot him before he can wind me.
Advantage: Me.

If the coyote doesn't want to risk coming out in the open, he can come around the field edge. I won't be able to see him from as far off, but he'll still have to come close enoughsee me to find me because he won't be able to smell me. I'm sitting still in camo and he's roaming through the woods, so it's much easier for me to see him than him to see me.
Advantage: Me.