The Last Conformist
Irresistibly Attractive
I'm sure I'm not the only one here who has wondered where the exponent in the BMI formula came from - afterall, for people with the same build, weight goes up with the 3rd power of the height, not the 2nd. This means that if you take a 2m tall guy with BMI 20 and shrink his linear dimensions till he's 1.5m tall, he'll be much slimmer than a guy who started out 1.5m tall with BMI 20. In fact, his post shrinkage BMI will be 15 - he's gone from the lower part of the normal range to deep into the underweight range while getting more athletic (since his strength - proportional to square of height - has decreased less than his weight). This seems, in a word, wrong.
The explanation, apparently, is that the BMI formula isn't from considerations of allometry at all, but from finding a best fit simple function of height and weight to predict body fat percentage. As probably everybody knows by know, it goes seriously haywire with tall muscular men.
Enough with the prolegomena. Just out of idle curiosity, I defined a modified index that is invariant under linear scaling, which could be called an "allometric index". It's simply your weight (in kilograms) thru the cube of your height (in meters). Put another way, it's your BMI thru your height (in meters). So, compute and vote!
Edit: If you end up exactly on any of the boundaries, vote for the higher option, ie. if your AI is exactly 12, vote 12-15.
The explanation, apparently, is that the BMI formula isn't from considerations of allometry at all, but from finding a best fit simple function of height and weight to predict body fat percentage. As probably everybody knows by know, it goes seriously haywire with tall muscular men.
Enough with the prolegomena. Just out of idle curiosity, I defined a modified index that is invariant under linear scaling, which could be called an "allometric index". It's simply your weight (in kilograms) thru the cube of your height (in meters). Put another way, it's your BMI thru your height (in meters). So, compute and vote!
Edit: If you end up exactly on any of the boundaries, vote for the higher option, ie. if your AI is exactly 12, vote 12-15.