I'm thinking weather than alters how the game is played, which happens in every season of course, but would be more frequent in late December in the north.
High gusting winds
Very low temperatures, <10°F
Frozen field possibly ice/snow covered
Hard rain
Basically, a factor that can afford the home team a large advantage. Think San Diego playing a playoff game at Cincinnati when it was -18°F. Will any home team elect to change venues? I suspect that will be rare. An amusing scenario would be say Ohio State playing AT UGA when it's an unusual 10°F in Athens with gusting winds. Maybe the Dawgs move it to ATL?