As i can see many of you are quite interested in the economics within the game.
I did some math for my own purposes and I think I figured out how the Tax seems to work. First I'll explain and then some ideas what you could do with this infos.
You need the following numbers:
- actual Planetpopulation
- simple factor (seems to vary between 31 and 32 due to roundings within gamemechanics) we will take 31,8
- Your actual Tax Value 1.0 for 100% Tax, 0.5 for 50%
- Your EconValue depends on anomalies found and Civ-Values (like spending points for that), same like Tax if Bonus 50% we'll take 1.5 (1.5 because your money is added an extra 50%, where at the tax you get a part from the max)
- Econ Enhancements like Market count as 1.1 for 10% (here i am not sure if a second market counts as 1.2 or as a 1.21 i'll try to figure out soon, for those of you liking math 3x market = 1.331 or 1.3 i am not sure)
sqrt (actual Pop) * simple factor * Tax * Economic Value * Economic Enhancement
Civ with economics 0%; Tax 50%; PlanetPop 5,000b; no Economic Enhacements
sqrt(5) * 31,8 * 0,5 * 1.0 * 1.0 * 1.0 = 35.55 MC
if we change to 100% you'll get 71 MC.
I tested this with some planets and it seems to be correct. Don't worry if you get slightly other values while testing.. there will be some rounding within the game and thus this formula can't be 100%
So what do we learn from that Info ?
After some more Math you'll notice that more pop = more money until about 21-22b Pop. After that one Market = more money than one farm. (calculated with 4pt Farm and 10% market)
This will slightly change with improvements and you have to notice that pop-growth is a major non-constant. Another non-constant is your morale. More people (especially if you go up to 10-15-20b people) need more morale boost..
I hope my english was a bit understandable