Yes, 1/2 diameter squared x 3.14 = square inches.
Dont get me wrong, you can go above these numbers... there are many skimmers that do... when you go above 100 though, you are more overflow prone... and yes, the height of the neck plays a role as well, but in most cases, the ideal neck size is 60-70lpm/in2. Sure, standard pipe sizes can cause this to vary (usually for a higher number than lower), but they still hold true.
I got these numbers by getting the stats on all major skimmers out there... H&S, Deltec, ER (note: 80, 750, 1000 are over 100, yes, but these models are also overflow prone), BK, ATI, Tunze, Grotech, ASM, Octo, etc. The stat isnt out of thin air. And it only covers the diameter, not the height. The height is a very subjective thing... in general, when in doubt, go taller... since you can always raise the water level above the reducer (it should be anyways), but you cant lower it past that point w/o problems. I will also note that this does not include becketts... they are a different beast all together.
What matters most is the throughput of air per square inch, since the water level can be varied anyways, and as long as you have a proportional height, you should be fine. The transition to the neck also varies the final neck height. Skimmers with 'flatter' transitions (like the ER shape) often need taller necks. Skimmers with the tall cone bodies dont need as much. But like I said, all Im talking about with those figures is the throughput, so cross sectional area/square inches is the primary concern. When you look at the maximum flow through a bulkhead/hole, the length isnt a concern... or the maximum amount of air that a skimmer diameter can take... the height doesnt play a role. Its not like a 6' tall 8" diameter skimmer can take more air per square inch than a 2' tall 8" diameter skimmer just because its taller. The most you want to put through an 8" diameter body is 1800lph.... short or tall. Same goes for necks.