Corruption and Waste for Pamplona, etc

[ruby_maser]

Alright, I'm posting this so that everyone can become more familiar with the formula but also to have some discussion that may improve the accuracy of a few of the numbers and have someone double check the end product.

Corruption=100 * [(Corruption from Distance, D) * (Corruption from Gov. type, G) * (Bonus factor from corruption improvements, B)* + (Nation Size Modifier, N)] * (Trade Network Factor, T)

SO...

Corruption = 100*[D*G*B+N]*T where...

D = [(3.6)*(Distance from Capital)]/Map Dimension
...standard map is 100x100 = 100 for Map Dim.

G = 1.0 under Despotism

B = 0.5^b
b = number of corruption reducing improvement; WLTKD adds 1 to this exponent

N = (Rank in ascending distance from capital) * (2*Modified Optimal City No.)
since we are under the MOCN limit

T = 1.0 if city is unconnected by trade network
0.85 if other

This can all be found in the Strat forum, as E_T pointed out in another thread and also at civfanatics.com under the Reference section. Anyway, for Pamplona I get (and feel free to double check this)...

C = 100 *([3.6*(5.65685)/100] * [1.0] * [0.5^0] + [2/(2*18)]) * [1.0]
C = roughly 25.92% corruption
note: this reduces to roughly 22% corruption with a trade network in place

Some notes on the numbers...
18 = MOCN
0.5^0 =1.0 (the zero exponent represents no corruption reducing improvements at this time)
5.65685 = Pamplona's distance from the capital; I am not aware of how to round this. Civfanatics.com info states that Distance corruption calculates in terms of geographic reality and means that, if one side of a square tile represents 100 miles or 1 if you want, then the hypotenuse is 1.4142 or 141.42 miles... Multiplying this number times 4 in the case of Pamplona yields the number in the formula. Whether it should be rounded, whether it is even correct for that matter, are up for debate. In diagonal directions it is easy to figure, but not in the veritcal and horizontal.

On a sidenote for Señor Arnelos, the Corruption distance part of the formula for the capital assumes that the Madrid is one tile away from itself. This is why the capital experiences some degree of corruption.

[Arnelos]

Yeah, I knew about the capital being one tile away from itself for corruption. I've seen this formula before, but I never cared to either memorize it or write it down... just was somewhat more aware of how corruption worked after I originally learned of it

[ruby_maser]

Per what was said above, I am starting to believe the Distance corruption, D, is wrong. Pamplona has already proven to be capable of netting 80% of its gross yield. It was just netting of 4 of 5 shields overall.

If I modify D by multiplying by 3 instead of 4. I get something much closer.... 20.829% corruption roughly. I don't know if this is then rounded down; if so, that would give us a good 80% net for commerce and shields. However, if anyone can shed some light on exactly how distance would work in relationship of Pamplona to Madrid, it would be a great help.

[E_T]

The Corruption/Waste for Pamplona should be about 22%. It should reduce to about 18% when it gets connected to the Capitol.

The main factors right now is that we are in Despotism & that it's not connected. It will also lose about 8 to 10% of it's corruption/Waste when it gets a courthouse.

RM, there are several places in the calculations that are rounded before they go to the next level of calculations, then the final answer is rounded again. Those Intermediate roundings are enough to induce a 3% variance in the calculations, and we are on the first city, think of how it will be when you have 20 cities...

Eta Tamali

[E_T]

Correction, I have forgoten to include Barcelona in my spreadsheet. THat means that Pamplona now has 25% Corrruption/Waste, which will reduce to 21% when it's connected.

Barcelona currently has 20% which will reduce to 17% when it's connected.

E_T

[E_T]

Originally posted by ruby_maser
Per what was said above, I am starting to believe the Distance corruption, D, is wrong. Pamplona has already proven to be capable of netting 80% of its gross yield. It was just netting of 4 of 5 shields overall.

If I modify D by multiplying by 3 instead of 4. I get something much closer.... 20.829% corruption roughly. I don't know if this is then rounded down; if so, that would give us a good 80% net for commerce and shields. However, if anyone can shed some light on exactly how distance would work in relationship of Pamplona to Madrid, it would be a great help.

The building of Barcelona has changed the Number of City Factor for Pamplona, because Barcelona is closer to the Capitol and thereby "bumps" Pamplona down the Rankings just a bit. That is enough to add 3 more Percentage points to the total Corruption for the city. Move the WF around to see what the different trade values are.

Also, the Formula isn't perfect, but it's damn close enough and Alexman is working on it all the time to try to get it better. He just recently added a tweek that is making some of my previous calculations in the SPDG come much closer to actual values.

As they said, If we knew the full formula, then we wouldn't have as much fun, trying to get this stuff figured out...

E_T

[ruby_maser]

Originally posted by E_T


The building of Barcelona has changed the Number of City Factor for Pamplona, because Barcelona is closer to the Capitol and thereby "bumps" Pamplona down the Rankings just a bit. That is enough to add 3 more Percentage points to the total Corruption for the city. Move the WF around to see what the different trade values are.

yeah, in the formula, I've got Pamplona's rank set at 2. I figured Barcelona was slightly close, but how do you get the distance from capital for a city like Barcelona?

In the forumula it makes reference to vertical, horizontal, and diagonal distance measurements, but I did not see how to calculate for a city that does not line up with the capital over any of those lines. Luckily, Pamplona was directly west.

[E_T]

you count on the NE-SW (one Axis) and the NW-SE (the other axis) for the other. You then use the distance formula:

Dist = SquareRoot{ X^2 + Y^2 )

Also, if you know Trig, Barcelona is 3 SE and 4 SW of Madrid. Ever heard of 3-4-5 Perfect Triangles ( Dist = SQRT(9+16) = SQRT(25) = 5 ). FYI, the next larger "perfect Triangle" is the 5-12-13.

Anyways, I digress. Barcelona is 5.0 - Rank of 1, Pamplona is 5.6 - Rank of 2. IF another city is place Closer than Barcelona, they both get pushed back in Rank (Ranks 2 & 3 respectively), and both thier corruption due to the number of Cities goes up. IF another City is placed at the same distance as Barcelona is, Both that city & Barcelona will be at Rank 1, whereas Pamplona will then go to Rank 3 (2 other Cities are closer). IF another city is placed at the same distance as Pamplona, then both it and Pamplona will be at Rank 2.

THe number of Cities factor does really make itself felt when you start getting to about 1/2 of your MOCN and you will be totally corrupt (where you might get something IF you have Rep/Dem, Court, Police & WLKD) after 1.5 times the MOCN. Our Maximum MOCN under those conditions is 30 (45 for totaly corrupt). The Max for Non-Commercial Civs is 26 (39 for totally corrupt).

Do not Forget, that the FP will be able to "Effectively" double this, but both of them have their own influance (Centricity) of which a city is closer to , then it will fall under that Influance. If your too close (Palace & FP), you might end up with a lot of the cities still under 1 influance compaired to the other (Apolyton for example, before the Palace move - an off kilter example).

E_T