Tech costs FAQed up
Since there are many active threads at the moment dealing with technology costs, particularly for large countries, I've decided to run a few tests to supply some hard data on the relationship between # of provinces and tech costs. These tests are by no means exhaustive, so please feel free to supply some additional data.
Testing procedure:
1419 scenario, Tuscany, catholic, latin tech group.
Treasury edited to 50,000d. Sliders were set to innovativeness 5, centralization 5, so no modifiers apply.
Tech was edited to 18/2/2/2.
I wait till January 1420 to eliminate "ahead of time" penalty for infra and go on an annexation spree.
Catholic religion has a techspeed (TS) of -1 (as of 1.07beta). I have run two tests for techspeed=-1 and techspeed=0, tracking infra costs as I captured provinces.
Here are results:
1st column -> # of provinces
2nd -> infra 3 cost at techspeed=0 (edited religion.csv)
3rd -> countrysize multiplier rounded to 3 decimal points
4th -> infra 3 cost at techspeed=-1 (unmodified religion.csv)
5th -> (4th column)-(2nd column).
Comments:
Average discovery date for infra 2 is 1425 (from infra.csv).
Average discovery date for infra 3 is 1450.
You do not get hit with "ahead of time" penalty if current year >= average discovery for current level - 5. Ie Tuscany suffers from ahead of time penalty (about 60%) in 1419 but not in 1420.
First, look at the tech cost for size=1. Tech cost is proportional to the difference between nearby discovery dates. 1450-1425=25 years or 300 months, ie it is tempting to conclude that each month of the expected discovery period contributes exactly 10d to research costs. Where extra 25d come from, I have no idea. I assumed that base cost = 3000.
From 1 to 8 provinces countrysize multipliers are obtained as (tech cost at n provinces)/(tech cost at 1 province). Results are exact +/- 1d. [ie (3630-3025)/3025=0.2 exactly]. After 8 provinces tech costs increase by flat 75d (again, +/- 1d) which is exactly 2.5% of 3000 (base cost).
As one can see from the last column, religion techspeed penalty is flat 60d or 2% of base cost.
All other modifiers (innovativeness, tech group speed, inflation etc) are applied multiplicatively on top of this table.
Thus, for practical purposes it is safe to assume that each province past 8 costs 2.5% of base cost.
[/Comments]
Some unexpected observations:
1. As you can imagine, no other country had land tech 18 in 1419. Nevertheless, 17 tech levels ahead of competition Tuscany still receives a neighbour bonus to land tech:
3d at 1 province
2d at 2-8 provinces
1d after 8 provinces.
I have no idea what is going on there. Either there is something wrong in the neighbour bonus calculations, or Tuscany provides a neighbour bonus to herself.
2. Carmagnola with 5/5 army actually managed to defeat my 25/5 rather badly despite 3 CRT levels tech difference
cheers,
-- mueller
Since there are many active threads at the moment dealing with technology costs, particularly for large countries, I've decided to run a few tests to supply some hard data on the relationship between # of provinces and tech costs. These tests are by no means exhaustive, so please feel free to supply some additional data.
Testing procedure:
1419 scenario, Tuscany, catholic, latin tech group.
Treasury edited to 50,000d. Sliders were set to innovativeness 5, centralization 5, so no modifiers apply.
Tech was edited to 18/2/2/2.
I wait till January 1420 to eliminate "ahead of time" penalty for infra and go on an annexation spree.
Catholic religion has a techspeed (TS) of -1 (as of 1.07beta). I have run two tests for techspeed=-1 and techspeed=0, tracking infra costs as I captured provinces.
Here are results:
Code:
[color=white]
Size TS=0 Mult. TS=-1 TS penalty
1 3025 1.000 3085 60
2 3630 1.200 3690 60
3 4235 1.400 4295 60
4 4537 1.500 4598 61
5 4840 1.600 4900 60
6 5445 1.800 5505 60
7 5748 1.900 5808 60
8 6050 2.000 6111 61
9 6126 2.025 6186 60
10 6201 2.050 6261 60
11 6277 2.075 6338 61
12 6352 2.100 6412 60
[/color]
2nd -> infra 3 cost at techspeed=0 (edited religion.csv)
3rd -> countrysize multiplier rounded to 3 decimal points
4th -> infra 3 cost at techspeed=-1 (unmodified religion.csv)
5th -> (4th column)-(2nd column).
Comments:
Average discovery date for infra 2 is 1425 (from infra.csv).
Average discovery date for infra 3 is 1450.
You do not get hit with "ahead of time" penalty if current year >= average discovery for current level - 5. Ie Tuscany suffers from ahead of time penalty (about 60%) in 1419 but not in 1420.
First, look at the tech cost for size=1. Tech cost is proportional to the difference between nearby discovery dates. 1450-1425=25 years or 300 months, ie it is tempting to conclude that each month of the expected discovery period contributes exactly 10d to research costs. Where extra 25d come from, I have no idea. I assumed that base cost = 3000.
From 1 to 8 provinces countrysize multipliers are obtained as (tech cost at n provinces)/(tech cost at 1 province). Results are exact +/- 1d. [ie (3630-3025)/3025=0.2 exactly]. After 8 provinces tech costs increase by flat 75d (again, +/- 1d) which is exactly 2.5% of 3000 (base cost).
As one can see from the last column, religion techspeed penalty is flat 60d or 2% of base cost.
All other modifiers (innovativeness, tech group speed, inflation etc) are applied multiplicatively on top of this table.
Thus, for practical purposes it is safe to assume that each province past 8 costs 2.5% of base cost.
[/Comments]
Some unexpected observations:
1. As you can imagine, no other country had land tech 18 in 1419. Nevertheless, 17 tech levels ahead of competition Tuscany still receives a neighbour bonus to land tech:
3d at 1 province
2d at 2-8 provinces
1d after 8 provinces.
I have no idea what is going on there. Either there is something wrong in the neighbour bonus calculations, or Tuscany provides a neighbour bonus to herself.
2. Carmagnola with 5/5 army actually managed to defeat my 25/5 rather badly despite 3 CRT levels tech difference
cheers,
-- mueller
Last edited: