As most will recall from reading the excellent [thread=157925]Economy FAQ[/thread], when figuring Production Income and Trade Tax income for a province, there is an escalation of income with each "step" in increased population. However, the FAQ is out of date as of the recent patch because whereas before there were only six levels or steps for provinces under 1000, now there are 10 steps leading to a population of 1000.
I ran a test using a province connected by land to the capital, with trade and infrastructure at level 10 (making TE and PE = 100%), with same culture, religion, etc. The province trades in Chinaware (currently 15d per 100 units).
The results were:
As we see, the progression from the initial settling of the colony through the point where it becomes a city creates a full step at each of the next 100 in population. For production, this means that the fraction of the value of the province's trade item runs from 1/10 to 10/10 (this then gets further reduced by your overall production efficiency). But once you are a city, each step in population increase gives you an additional 1/6th of the basic value of the good, just as the FAQ says.
For Trade Tax, the tax increases by 1d for each step in the population progression, up to a maximum of 16. Thus, the text in the province income breakdown tooltip that says the maximum trade tax is 12d is now incorrect. The FAQ is based upon the old maximum.
Finally, trade value increases in exactly the same amount as Production income. This is VERY poorly represented in the game; the province information screen shows an incorrect number to the right of the shield, and the trade center tooltip that pops up breaking down the value of the top few provinces contributing to the overall trade level in a CoT is also incorrect. Thus, in my experiment, the reported contribution to trade would be, say, 27 or 28 when the actual contribution was 30. The only way to be certain what was being contributed was to look at the value of the trade center in the ledger after each change.
Needless to say, the cute little screen you get purporting to breakdown how valuable each trade item is, and how much you get from its production, etc., is totally incorrect as to actual values used by the game. It looks nice, though...
I ran a test using a province connected by land to the capital, with trade and infrastructure at level 10 (making TE and PE = 100%), with same culture, religion, etc. The province trades in Chinaware (currently 15d per 100 units).
The results were:
Code:
[u]Population[/u] [u]Production[/u] [u]Trade Tax[/u] [u]Trade Value[/u]
1+ 1.50 1.0 1.50
200+ 3.00 2.0 3.00
300+ 4.50 3.0 4.50
400+ 6.00 4.0 6.00
500+ 7.50 5.0 7.50
600+ 9.00 6.0 9.00
700+ 10.50 7.0 10.50
800+ 12.00 8.0 12.00
900+ 13.50 9.0 13.50
1000+ 15.00 10.0 15.00
5001 17.50 11.0 17.50
10001 20.00 12.0 20.00
20001 22.50 13.0 22.50
40001 25.00 14.0 25.00
80001 27.50 15.0 27.50
200001 30.00 16.0 30.00As we see, the progression from the initial settling of the colony through the point where it becomes a city creates a full step at each of the next 100 in population. For production, this means that the fraction of the value of the province's trade item runs from 1/10 to 10/10 (this then gets further reduced by your overall production efficiency). But once you are a city, each step in population increase gives you an additional 1/6th of the basic value of the good, just as the FAQ says.
For Trade Tax, the tax increases by 1d for each step in the population progression, up to a maximum of 16. Thus, the text in the province income breakdown tooltip that says the maximum trade tax is 12d is now incorrect. The FAQ is based upon the old maximum.
Finally, trade value increases in exactly the same amount as Production income. This is VERY poorly represented in the game; the province information screen shows an incorrect number to the right of the shield, and the trade center tooltip that pops up breaking down the value of the top few provinces contributing to the overall trade level in a CoT is also incorrect. Thus, in my experiment, the reported contribution to trade would be, say, 27 or 28 when the actual contribution was 30. The only way to be certain what was being contributed was to look at the value of the trade center in the ledger after each change.
Needless to say, the cute little screen you get purporting to breakdown how valuable each trade item is, and how much you get from its production, etc., is totally incorrect as to actual values used by the game. It looks nice, though...
