Province Supply Formula

[Simmy Sims]

Hi,

I haven't seen this anywhere else - my apologies if this is common knowledge.

I have been confused about how supplies are calculated. I've seen provinces with Death 3 and Heat 3, which I thought should have near zero supplies, instead have around 40 or 50. I finally think I've figured out why this is so.

Supplies seem to have two components. Dominion affects only those supplies created by population. The first 10,000 population produces 1 supply per 100 population (this can be changed by modding), and any population over 10,000 seems to be discounted by half. So a home province with 30,000 population will produce 200, not 300, base supplies. Growth/Death and Heat/Cold effects are applied separately and multiplicatively. The above province, if it has Growth +2 and is 1 away from its heat preference, should have 200 * 1.4 (for Growth) * 0.9 (for heat) = 252 base supplies.

Added to base supplies are fortress supplies. Each fortress provides supplies by the following formula:

(Administration * 4) / (Distance + 1).

So it is admin*4 for the province itself, admin*2 for adjacent provinces, admin*1.33 for two distance, admin*1 for three distance, admin*0.8 for four distance. The effect seems to stop at four provinces distant. A province only uses the best value from a fortress, and supplies generated by magic sites like White Man Hill are treated like fortress supply and are not cumulative with it. Fortress supplies are unaffected by Growth / Death & Heat scale.

The overall fomula:

St = total supply, Sp = population supply, Sb = building supply, GD = Growth/Death multiplier, HC = heat/cold multiplier

St = Sp * GD * HC + Sb

Sp = Pop/100 - [(Pop-10,000)/200] * [Pop>10,000]

Sb = BEST of (Admin*4)/(Distance+1)

Please offer any corroboration or corrections, if you have any. Also, I'm curious if all dominion modifiers are multiplicative (there are four sliders that affect income, for example).

[ February 01, 2004, 01:00: Message edited by: Simmy Sims ]

[Saber Cherry]

Thanks, Simmy! I always like to know how much my opponents will suffer from my pillaging when I play Ermor=)

[quantum_mechani]

Originally posted by Simmy Sims:
So it is admin*4 for the province itself, admin*2 for adjacent provinces, admin*1.33 for two distance, admin*1 for three distance, admin*0.8 for four distance.

So, the supply value of a castle is only used when under seige?

[ceremony]

Originally posted by quantum_mechani:

quote:

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Originally posted by Simmy Sims:
So it is admin*4 for the province itself, admin*2 for adjacent provinces, admin*1.33 for two distance, admin*1 for three distance, admin*0.8 for four distance.

So, the supply value of a castle is only used when under seige?

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(1) Great formula, Simmy!

(2) Can anyone confirm that the supply value of a fortress is only for sieges and the admin value is used for supply propagation? That's a crucial point.

[Psitticine]

Yes, supply value is the amount of supply stored in the fort itself in case of sieges. It does not affect provincial supply levels.