Garrison Effects

[Willie McBride]

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.