somehow, the facts that I was attracted by this thread and that I found myself cited herein, are not a coincidence
I actually started myself from the work of others, who alas I can't recall right now.
You're right KM, the size of a map is half of what you could expect from the max coordinates, due to the way they're laid out.
Although you can read coordinates up to 79,79, the trick lies in the fact that you have 0,0 & 0,2 tiles, but not 0,1, or 1,1 & 1,3 tiles, but not 1,2.
Indeed, you must rely on the figures in alpha.txt for the default sizes, and on the figures you *enter* for a custom size: if you enter 50x100, you'll read coordinates up to 99,99, but your map tiles are 5000, not 10000.
(all this is written offhand, so I might have inverted some reference)
You'd notice that SQROOT(3200) is the same as 40*SQROOT(2).
Without delving into figures at length, the relative dfeault sizes allow us to say that:
For Standard Planetsize (40x80=3200, and here's where that value comes from) the MapRoot factor is equal to 1
Tiny: 24/40 = 0.6
Small: 32/40 = 0.8
Huge: 64/40 = 1.6
The Large size doesn't fit in this schema, as the height is NOT the double of the width. SQROOT(3960/3200=1.2375)=1.11243
In your example, the Difficulty factor for Think is set at (8-4)=4
So the fromula reads:
4 * (4+Eff) * MapRoot / 2
for standard size, MapRoot=1
BaseLimit = 2 * (4+Eff)
For normal factions, no SE switches, Eff=0, Efficiency factor in the formula (4+0)= 4, BL=2*4=8
For PK BL=2*(4-1)=6
For Gaia BL=2*(4+2)=12
For Huge (MapRoot=1.6) these values become:
Gaia: 19.2
others: 12.8
PK: 9.6
I didn't always pay attention to this issue, but as far as I can recall the values are rather consistent with my experience.
Of course when you apply Efficiency modifications in the SE, you have to recalculate the limit.
I can't say whether the drones already generated disappear when you switch to a higher efficiency. For sure, I saw lots of drones *immediately* appear when I switch to a lower efficiency.
If you run, say Univ with PoliceState & Planned, you would have Efficiency = -4, thus the BL should be set to 0.
I never cared to test such conditions.
I can suggest that as with the EcoDamage formula, that factor can't be reduced to 0, it bottoms at 1, but that's totally to be verified, just a wild assumption.
BTW, in your examples you use the tag SIZE. Some reader might get confused: Bureaucracy is not about bases sizes, is about the NUMBER of bases in your faction, and I think that you intended Size that way.
Indeed, if we take again your example and the formula
BL=2*(4+0eff)=8
BL=2*(4+1eff)=10
BL=2*(4+2eff)=12
and you see that the values you observed are perfectly consistent with the formula.