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Out of my own inquisition I did a search on this reach vs height thing, found a few threads, but then I realize there is some commentary that I've always wanted to provide on the discussion/debate.
Considering myself to be somewhat of a self-proclaimed expert on the science and physics of the fighting world, here are a few things I want to address regarding reach:
Arm Length / Shoulder Width, Hand Size (fingers/palm), the way we measure reach, and finally Armspan:Reach ratio.
1.) Arm Length vs Shoulder Width:
Assume you have two fighters with equal reach, one is longer armed and narrower shouldered, the other vise versa. The argument of a long armed guy having a "real" reach advantage over a wider shouldered guy with comparatively shorter arms is invalid. We are all familiar with kinetic linking, and how the power that comes from our punch comes from our whole body (legs>hips>core>chest>arms). When punches or combos are thrown, we torque our torso into the punch. Therefore at the point of impact our upper bodies are perpendicular to our target. Many fighters turn their shoulder even when throwing the jab. This action of turning nullifies the difference in reach bias attributed to either arm length or shoulder width, since the pivot point is in the center of the torso.
MATH: 2 guys with 70" reach: A guy with 27" arms who's shoulders' width 16"(27+27+16=70), has the same reach as a guy with 24" arms who's shoulders measure 22" wide(24+24+22=70). "Actual" reach [from center of torso] = (27+8=35 SAME AS 24+11=35)
2.) Hands
Although I will admit a person with unusually large palms and short fingers will have a slight (~1inch) edge on a person with unusually long fingers and small palms, this isn't the only thing to consider in MMA.
In MMA we use our hands for more than hitting with closed fists. Take downs, clinch, and ground game all benefit from longer reach. A guy with a measured reach advantage will have a take down range advantage obviously(think double leg/muay thai clinch).
3.) Method of Measurement
Measuring from the armpit to the closed knuckle is pretty much a worthless measurement, how is measuring from the flesh under your arm accurate? If a man pushes the tape measure into your side, he's gonna gain an inch or so. Also depending on much you're leaning to one side, or where the arm's connective tissue meets your torso will all affect this flawed measurement. I know when I'm places and people want to compare reach they always want each of us to make a fist and square up with each other. This is also irrelevant, largely to the center point pivoting I mentioned earlier, and also, the depth of peoples chest, if they roll their shoulders forward or push out their chests(which they never will) can all affect this shoddy way of "measuring" reach. The best way is and always will be, finger tip to finger tip.
4.) Wingspan : Height
I have searched this so many times and can't find a large statistical pool for it, what I did find was a college stats project Body proportions. With their pool, the mean relationship was Reach = 1.023 of Height. In other words, average reach is 2.3% greater than height. So an average 6'(72",183cm) tall guy should have a ~73.5"(187cm) reach. So you Miguel Torrez types with a reach of +10% over your height are very rare.
With all this analysis, it's obvious that reach is still only one determining element of a fight. Nelson vs Struve proved even the biggest reach advantages can be overcame!
-Cheers
Considering myself to be somewhat of a self-proclaimed expert on the science and physics of the fighting world, here are a few things I want to address regarding reach:
Arm Length / Shoulder Width, Hand Size (fingers/palm), the way we measure reach, and finally Armspan:Reach ratio.
1.) Arm Length vs Shoulder Width:
Assume you have two fighters with equal reach, one is longer armed and narrower shouldered, the other vise versa. The argument of a long armed guy having a "real" reach advantage over a wider shouldered guy with comparatively shorter arms is invalid. We are all familiar with kinetic linking, and how the power that comes from our punch comes from our whole body (legs>hips>core>chest>arms). When punches or combos are thrown, we torque our torso into the punch. Therefore at the point of impact our upper bodies are perpendicular to our target. Many fighters turn their shoulder even when throwing the jab. This action of turning nullifies the difference in reach bias attributed to either arm length or shoulder width, since the pivot point is in the center of the torso.
MATH: 2 guys with 70" reach: A guy with 27" arms who's shoulders' width 16"(27+27+16=70), has the same reach as a guy with 24" arms who's shoulders measure 22" wide(24+24+22=70). "Actual" reach [from center of torso] = (27+8=35 SAME AS 24+11=35)
2.) Hands
Although I will admit a person with unusually large palms and short fingers will have a slight (~1inch) edge on a person with unusually long fingers and small palms, this isn't the only thing to consider in MMA.
In MMA we use our hands for more than hitting with closed fists. Take downs, clinch, and ground game all benefit from longer reach. A guy with a measured reach advantage will have a take down range advantage obviously(think double leg/muay thai clinch).
3.) Method of Measurement
Measuring from the armpit to the closed knuckle is pretty much a worthless measurement, how is measuring from the flesh under your arm accurate? If a man pushes the tape measure into your side, he's gonna gain an inch or so. Also depending on much you're leaning to one side, or where the arm's connective tissue meets your torso will all affect this flawed measurement. I know when I'm places and people want to compare reach they always want each of us to make a fist and square up with each other. This is also irrelevant, largely to the center point pivoting I mentioned earlier, and also, the depth of peoples chest, if they roll their shoulders forward or push out their chests(which they never will) can all affect this shoddy way of "measuring" reach. The best way is and always will be, finger tip to finger tip.
4.) Wingspan : Height
I have searched this so many times and can't find a large statistical pool for it, what I did find was a college stats project Body proportions. With their pool, the mean relationship was Reach = 1.023 of Height. In other words, average reach is 2.3% greater than height. So an average 6'(72",183cm) tall guy should have a ~73.5"(187cm) reach. So you Miguel Torrez types with a reach of +10% over your height are very rare.
With all this analysis, it's obvious that reach is still only one determining element of a fight. Nelson vs Struve proved even the biggest reach advantages can be overcame!
-Cheers