Thick mud, heavy snow, or loose sand.

Like Sunday said, if you don't leave pavement there's no reason to waste thousands on Meaty tires.

Im seriously contemplating keeping around 2 sets; Highway tires for regular use, long drives & trips w/ the camper, and another for winter's mud and snow.
Of course, if you feel you need a Monster Truck for your daily commute to your 9 to 5 office job, so everyone will know what a manly man you are, there are fake monster truck tires made for hwy use only. You see em in California all the time.

The guys at Les Schwab will snicker at you, but from far away no one will be the wiser.