Look at the SH3Cmdr file titled 'Ship displacements.cfg'. It should be self explanatory. The actual formula used is:
Tonnage = ((Round((Displacement x YearlyDispAdjust) * LowerDisp) + Random((Round((Displacement x YearlyDispAdjust) * UpperDisp) - Round((Displacement x YearlyDispAdjust) * LowerDisp)) + DispPrecision)) div DispPrecision) * DispPrecision
Generally, ship displacement increases by 2% per year.
Due to SH3 limitations, the values generated for each ship class will be the "seed" values used by SH3 for all ships of that class for that patrol - SH3 has its own randomisation which will vary the tonnage slightly. So, it's not surprising that all T3s sunk during that patrol were ~11k when they varied between 8 and 10 for prior patrols.
I'll let Observer explain further...
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You get this mod with SH3 Commander. I suppose since I did it, I'll explain how it works.
The data for this is from over 3000 actual ship sinkings that happened during the course of the war. This data was broken up by year (mostly..some years are combined), and then analyzed using some statistical tools for mean and standard deviation. I generically placed ships in classes such as Large Merchant, Medium Merchant, Small Merchant and Tramp Steamer (by the way I did a mod to get rid of the C2, C3, T2 and T3 names which applied to specific classes of merchant ships and saw limited action only during the later part of the war, at least from a actual ship sunk perspective). I then randomized the tonnage values based on the mean and standard deviation. If the standard deviation was large for a given class of ships it could result in tonnages being very close to each other (i.e. C3 and C2 which I referred to as Large and Medium merchants). This isn't unrealistic because many Uboat Captain's had difficulty estimating ship tonnages unless they could find the ship in the Lloyd's registry.
Just as an aside, the same database used for tonnages was also used as data for the improved convoy mod.
Hope that's the answer you're looking for. This varies in SH3 Commander by month, so some months you may get a 3500 gross ton C2 (medium merchant) and another month you may get a 5500 gross ton medium merchant. It adds to the excitement and means you never can count on a given class of ships getting you an exact 100% predictable tonnage. Every time. Now there are some surprises, and some disappointments especially when you spend 3 torpedoes taking down a merchant of only 3500 tons.
As another aside, the renown values for ships have not been altered. You should find, on average, the results from a patrol more closely match historical sinkings from Uboats during the war on a tonnage basis.
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