I'll give you your numbers to play with.
Every tick is 6 minutes.
You gain/lose 2.5% of your max population per tick.
You gain/lose 1 loyalty per tick.
1 loyalty allows for 1% population gain or causes 1% population decrease.
Thus, when loyalty is decreasing, it won't decrease your population at 2.5%, it will decrease it at 1% per tick. 2.5% figures in when your population is far enough above your "stable" number to allow for such a drop.
When loyalty is increasing, it will only allow for a 1% increase in population. To get 2.5%, you must inflate your loyalty far enough ahead of the growth to accommodate it.
Further, on the new tick, you recieve 1/10 of the new number, IE, the tax is applied after the tick happens, for better or for worse. When loyalty/pop is decreasing, you get the lower number. Upward trend is the reverse.
Enjoy the number crunching.



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