I'm just speculating, but wonder if the lines with bigger heads were bred to enhance bite work in Schutzhund Sport, and way back Boar hunting. I think it's called bite force, and the size of a dog's head has a lot to do with the amount of pressure it can exert with it's jaws. Rottweillers and Mastiffs I think have the most bite force. We're talking very large heads. If you've seen how hard they have to hit the cuff, bite it hard and full, and then hang on while they're lifted off the ground it makes sense that the mouth and jaw are so important. I wonder if the shorter muzzle makes the bite more efficient.
Ann WI
Yes, I've heard that bite pressure is primarily a function of head size, but also of head shape and face muscles.
National Geographic did a test, and their results were for species:
Humans: 120 pounds of bite pressure.

Domestic dogs: 320 LBS of pressure on avg. A German Shepherd Dog, American Pit Bull Terrier (APBT), and Rottweiler were tested using a bite sleeve equipped with a specialized computer instrument. The APBT had the least amount of pressure of the 3 dogs tested.
Wild dogs: 310 lbs
Lions: 600 lbs
White sharks: 600 lbs
Hyenas: 1000 lbs
Snapping turtles: 1000 lbs
Crocodiles: 2500 lbs
For the GSD, Pit, and Rott:
http://www.youtube.com/watch?v=ADDxe24ud90&feature=relatedGerman Shepherd: 238 lbs
Pit Bull: 235 lbs
Rottweiler: 328 lbs

Other (uncertain) dog breeds:
http://www.youtube.com/watch?v=G-WcIJbx9x8Dutch Shepherd: 195 lbs.
Bulldog (American?): 220 lbs. or 305 lbs.
Mastiff (Boerboel or Tosa?): 556 lbs.

I once read that a Bouvier de Flandres can have a bite force of up to 1000 lbs., but I am skeptical.

I would assume that a Boxer, with the leverage that a short muzzle provides, would have a very high bite pressure.