Re: Research suggestions and discussion
I just joined the Guild, so I don't have any priviledges, which is why I am posting here. However, I just did some Excel-based statistics upon the effect of Garrison size upon Public Order. I had been led to believe I could find such information on this forum, and although my quest was not fruitful, I decided that this was the proper place for any conclusions I might reach after studying Garrisons.
I used a fairly limited sample size of 26 cities (those West of and including my Capital, plus my two largest cities, which happened to be East of my Capital) and collected data on their individual Populations, Garrisons, and Public Order bonus due to Garrison. My hypothesis was that there would be a direct relationship between the ratio of Garrison to Population and the Public Order bonus. I quickly observed that the PO bonus levels off at 80%, so I eliminated both of the cities in my sample (regretably, also the smallest Populations) that had PO bonus of 80%.
I then graphed the remaining 24 data points on a scatter plot in Excel, with the Ratio of Garrison to Population on the X-axis and the Public Order bonus on the Y-axis. The result:
Y = 701.54 X - 2.6972 R-squared = 0.9928
Once again, we're seeing a pretty simple linear relationship, regardless of buildings present.
In case you're wondering, the Golden Ratio that optimizes Garrison size for Population is 0.114458477; for example, a Garrison of 1376 soldiers assures a Public Order Bonus of 80% in a city of 12000 Population without wasting a single fighting man.
Re: Research suggestions and discussion
Quote:
Originally Posted by Willie McBride
Y = 701.54 X - 2.6972 R-squared = 0.9928
That is in good agreement with the formula I concocted. There is a slight complication due to unit size scaling though. See here for details.
This information is also contained in the A short investigation of squalor Ludus Magna thread. You make a good point though - perhaps it should be a little more accessible...
PS Welcome to the Org. ~:wave: Glad to have you aboard! :medievalcheers:
Re: Research suggestions and discussion
I posted this on the totalwar.com forum and someone said you guys may be interested in such things! (Maybe I can add some stuff regarding the whole public order thing later):
I realized this the first time working in 1.1. BUT it seems to have not changed in 1.2.! It works without changes in different difficult settings! And maybe also with different unit sizes, but havn´t tested this right now!
How to plan garrisons
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Did anyone already notice this?
You can exactly count the numbers of men you need, to give a town the maximum effect of garrison(80%)
formula:
([number of soldiers] : ([Number population]:100) ) * 3,5 = %Garrisson influence
shorter:
(x:(y:100))*3.5=z
If you want the number of people a town can have with a special amount of soldiers at 80% garrison try this:
population= ((soldiers*3,5) : [80]%) *100
shorter:
y=((x*3,5):z)*100
Example:
1.Minimum:A town with 700 people Population needs exactly 160 Men for a garrison of 80%. This means you don´t need a second unit of 160 men until population gets over this number
2.Maximum:20 units 0f 240 peasants can give a town of 21900 people 80% garrisson
As a rule: have one unit of 160 men for every 700 people or one unit of 240 men for every 1050 people
Re: Research suggestions and discussion
ahhhhh...it's good to be back (finally remembered my hotmail password to get THIS forum's password. lol)
Quote:
Originally Posted by Willie McBride
In case you're wondering, the Golden Ratio that optimizes Garrison size for Population is 0.114458477
That's wonderful, but hardly useful unless you're less than 16 squares from the capital. To make that formula useful we'll need the modifier for distance from capital, and since i'm no math wiz i'm hoping someone out there will provide this and make life simple for me. *g*
BTW, that's hilarious CA scaled garrison affect for unit size. lol.