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User:Pookles

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Games:

  • Ottoman 1444 to 1821
  • Norway
  • Hansa
  • Portugal 1444 to ----

Aztec Achievement Attempt

Claimed Zapotec territory and invaded. Settled for peace for two sugar provinces, but it would probably be better to have gone for military vassalage. Annexed Zapotec. Maya invaded, military vassalage for them. Finished annexing Maya in 1506.

Naval Maintenance

Base cost

Base cost, maintenance, and build time depend only on the type.

Type Cost (Gold Icon.png) Maintenance
(Gold Icon.png/month)
Build time (days) Annual upkeep
Heavy Ship 50 0.417 365 10%
Light Ship 20 0.083 180 5%
Galley 10 0.033 180 4%
Transport 12 0.04 180 4%

Note that these are base values; maintenance in particular rises sharply with Diplomatic technology. Each ship costs ducats to upkeep every month. The amount depends on the type of ship and is proportional to the cost to build the ship, so reductions in ship cost will also reduce maintenance.

  • Unlike land units, the tech modifier to Naval maintenance stacks multiplicatively with other modifiers. Thus, reductions to Naval Maintenance keep their strength better throughout the game than their land counterpart.
  • The Grand Shipyard building reduces ship cost and thus maintenance of ships built there.
  • Being over Force Limit will multiply the maintenance cost of ships by the force limit proportion. For example, being at 150% of the force limit will result in maintenance being 150% of normal.
    • For a homogeneous fleet, the marginal maintenance of each ship is about twice the force limit proportion. For example, being at 150% of the force limit will result in the next ship adding about 300% of its normal maintenance.
    • Light Ships suffer the penalty to their build cost as well, which squares the effect on maintenance cost. For example, being at 150% of the force limit with all Light Ships will result in maintenance being 225% of normal.
    • In this case, the marginal maintenance is about three times the force limit proportion squared. For example, being at 150% of the force limit with all Light Ships will result in the next light ship adding about 675% of its normal maintenance.

The unmodified monthly cost of a light ship is

 .083 gold /month or 1 gold / year

This gives a annual upkeep of 5% of the build cost:

 1 gold / year * build_cost/ 20 gold = .05 * build_cost / year 

The build cost for a light ship is

 Rforce = force ratio = number of ships / force Limit
 build_cost = 20 gold
 Coriginal = build_cost * construction_modifiers
 Cfinal = Coriginal * Rforce

The modified annual cost of a light ship is

 .05*Rforce * Cfinal 
 .05*Rforce2 * Coriginal 

For example:

 L = naval force limit = 100
 Slight = number of light ships  = 150
 Sheavy = number of heavy ships = 0
 Rforce = force ratio = number of ships / force Limit = 1.5
 Mlight = monthly maintenance of a light ship = .05 * 1.52 * 20 gold *1 year/ 12 months = .1875 gold / month
 Mheavy = monthly maintenance of a heavy ship = .1 * 1.5 * 50 gold *1 year/ 12 months = .625 gold / month
 

The break-even point, at which the cost of an additional light ship is equal to the additional tariff efficiency benefit, exists when the following components are equal:

 P = number of overseas provinces
 L = naval force limit
 Slight = number of light ships
 Sheavy = number of heavy ships
 Mlight = monthly maintenance of a light ship
 Mheavy = monthly maintenance of a heavy ship
 Rtariff = monthly tariff revenue
 E = monthly tariff efficiency = (Sheavy + Slight) / P
 The monthly cost 
 Cunder limit = cost of maintaining