Tax Income

**therother** · 10-12-2004, 05:49

I've learned my lesson: investigating RTW takes time, and will probably not be short. Anyway, to war:

Edit:There are 4 tax rates. Normal tax bestows no growth rate benefit/penalty and has the values plotted below. Low gives a 0.5% in population for a 20% drop in tax. The corresponding figure for high and very high, are -0.5%/+20% & -1%/+50%.

The primary determinant of the level of taxation appears to be population.

The image hereinbefore (wonderful word that) is a study of the relationship between taxes and population in a settlement with neither Governor nor buildings (including Governor's House). For the moment I'm just throwing this out there for the moment as a FYI with a few general comments.

Note the non-linearity of the relationship between 400 - 2000, then the linearity until 7905, whence it takes an unexpected jump from 1000 to 875, then continues linearly, but at a less steep gradient, i.e. you are getting less money per man. In fact you get more per money at the lower population levels, which I have to say was not unexpected.

At this level, no difference was noted in tax income for different %PO, which was one of the main things I'll be investigating, based on the reports of a number of players.

Health warnings:

I was pushing it a bit, as it's highly unlikely that CA expected anyone to have a settlement without a Governor's House for more than a turn or two, and certainly not up to 30,000.
A very odd thing happened at between 3200 and 3600 - the public order froze at 51%. Which is odd for two reasons.
1. I've never anything other than an integer multiple of 5 for PO.
2. I've never had PO freeze before, and remain completely unaffected by increases in squalor, tax rate, removal of garrison, etc...

Oh and perhaps I should mention - as there are a lot more buildings that affect tax than squalor, as well as a separate tax level - that this thread could be significantly longer that the squalor one, unless the effects of these functions are elucidated in short order. Which should put the fear of death into the site admin!

Anyway, to bed, the new Iain M. Banks book is calling!

**therother** · 10-12-2004, 12:08

Well, it seems like the graph for the Governor's House exactly matches the one above. Which is curious, and may mean that I can eliminate his residence as a factor. I'll try the Imperial Palace next to be sure.

Edit: Well, it seems like there is an additional tier at ~36,000 men, after which the rate of increase is approximately halved.

Quick rules:

1st tier (

**therother** · 10-12-2004, 13:14

Edit of post above, wouldn't let me post it for some reason :

Well, it seems like there is an additional tier at ~36,000 men, after which the rate of increase is approximately halved.

Quick rules:

1st tier (below 7905): Tax = 500+ 0.064Ps - 31922091/Ps^2. Which is really not that helpful, but thankfully things become a little more linear at 2000.

2nd Tier (2000-7905): Tax: y= 0.0625Ps + 505.40904, or 500 + 62.5 per 1000 men

3rd Tier (7906-~34000): Tax= 0.0154Ps + 756.32, or roughly 750 + 15 per 1000 men.

Last tier: (35000+): Tax = 0.0079Ps + 1007.5, or roughly 1000 + 8 per 1000 men.

Ps is Population Size in men.

It would seem that these are the basic tax levels, and that various buildings and other effects act upon them.

**Soulflame** · 10-12-2004, 13:30

A quick noteworthy thing:
There is a HUGE gap between the first and second tier in terms of income.
Once you get past 7905 population, you will not get that high income until you reach a population of about 15800 (used the non-rounded numbers to come to this, then rounded it to hundreds).
Whereas the gap between second and third tier is considerably smaller; to get the same income as you had when you had 35000 people, you only need 36400 people (again using non-rounded numbers, then rounded on hundreds)

**therother** · 10-12-2004, 13:38

Originally Posted by Soulflame

A quick noteworthy thing:
There is a HUGE gap between the first and second tier in terms of income.
Once you get past 7905 population, you will not get that high income until you reach a population of about 15800 (used the non-rounded numbers to come to this, then rounded it to hundreds).
Whereas the gap between second and third tier is considerably smaller; to get the same income as you had when you had 35000 people, you only need 36400 people (again using non-rounded numbers, then rounded on hundreds)

Remember, this is just the basic rate. There are not even roads in this settlement. The game could factor in that by 2,000, you really should have started building these. But we'll see when the time comes. I'm going to be pretty busy with work for the next day, so it might take a while. Assuming no one decides to take up the baton!

Edit: It's actually the 2nd and 3rd tiers that the gap appears. I know it's a little confusing as the 4th tier is not yet plotted. I'll get round to it eventually. [Graph Done]

Additional edit: Just changed the boundary slightly for the 3rd to 4th tier. Makes little difference, although I believe it's now more accurate.

**RedKnight** · 10-12-2004, 15:21

Very cool stuff, Therother. Wow - you must've had to hit the Turn button hundreds of time!

**Soulflame** · 10-12-2004, 16:05

Originally Posted by therother

Remember, this is just the basic rate. There are not even roads in this settlement. The game could factor in that by 2,000, you really should have started building these. But we'll see when the time comes. I'm going to be pretty busy with work for the next day, so it might take a while. Assuming no one decides to take up the baton!

Edit: It's actually the 2nd and 3rd tiers that the gap appears. I know it's a little confusing as the 4th tier is not yet plotted. I'll get round to it eventually. [Graph Done]

Additional edit: Just changed the boundary slightly for the 3rd to 4th tier. Makes little difference, although I believe it's now more accurate.

Right well I was dismissing the first part of the graph

.
Even if roads or other buildings have influence, it's abit weird that there is such a huge gap from 2 to 3, while the gap from 3 to 4 is not so much.

I just heard I have a new family member, so I'll be with my brother and his wife tonight, so no experimenting for me tonight.