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Force limit

641 bytes added, 3 months ago
Province modifiers
{{version|1.1129}}
A '''force limit''' is a soft limit on how many [[ships]] or [[regiments]] a [[country]] can possess. It can be exceeded at a monetary price.
If a country goes past its force limit , the maintenance cost per unit will increase by twice as many percent as they are above the force limit, eventually making further expansion of the army or navy prohibitively expensive.
There are two independent force limits, one for naval units and one for land units, but both operate largely the same.
== Computing force limit ==
{{SVersion|1.29}}
===Province modifiers===
{{SVersion|1.18}}
Provinces contribute to the force limit through their development level and through the following modifiers and buildings. Note that only coastal provinces may contribute to a country's naval force limit.
{|class="wikitable mildtable sortable"
! Condition
! Tech Level! Land Force Limitforce limit! Naval Force Limitforce limit
|-
| Per development || || {{green|+0.1}} || {{green|+0.1}}
|-
| Trade good bonus: [[Regimental CampTrade_goods|Grain]] <br> <small>(only with {{icon|rom| Mil 8 24px}} [[Rights of Man]])</small> || {{green|+10.5}} || 0
|-
| Trade good bonus: [[Conscription CenterTrade_goods|Naval supplies]] <br> <small>(only with {{icon|rom|24px}} [[Rights of Man]] )</small> || Mil 22 0 || {{green|+20.5}} || 0
|-
| [[ShipyardRegimental Camp]] || Dip 6 || 0 || {{green|+21}}|| 0
|-
| [[Grand ShipyardConscription Center]] || Dip 19 || 0 || {{green|+42}}|| 0
|-
| [[Important center of tradeShipyard]] || || 0 || {{green|+2}}
|-
| Being in [[trade companyGrand Shipyard]] || || 0 || {{green|+0.54}}
|-
| [[Important center of trade]] || 0 || {{green|+2}}|-| Being in [[trade company]] || 0 || {{green|+0.5}}|-| [[Local autonomy]] (per 1%) || || {{red|-1%}} || {{red|-1%}}*
|}
===Country modifiers===
{|class="wikitablemildtable"
! rowspan = "2" | Condition
! colspan = "2" | Force Limit multiplierlimit modifier
|-
! Land !! Naval
|-
| Independent Base for every nation || {{green|+6}} || {{green|+12}}|-| Army Organizer [[advisor]] || {{green|+10%}} || 0
|-
| Subject nation || {{greenred|+2-3}} || {{greenred|+4-6}}
|-
| [[March ]] nation || {{green|+2 / +30%}} || {{green|+4 / +30%}}
|-
| Trade good ''Trading in'' bonus: [[Trade_goods|Grain]] || {{green|+1020%}} || 0
|-
| Trade good ''Trading in'' bonus: [[Trade_goods|Naval supplies]] || 0 || {{green|+1020%}}
|-
| Being the [[revolution]] target || {{green|+40%}} || {{green|+40%}}
|-
| Being an [[Jan Mayen|invading nation]] || {{green|+100}} || {{green|+100}}
|-
| Fortified House [[Native council#Unique native buildings|unique native building]] || {{green|+10}} || 0
|-
| Per large [[colonial nation]] || {{green|+5}} || {{green|+10}}
|-
| Per state of the [[Holy Roman Empire]]<br><small>(Emperor only)</small> || {{green|+0.5}} || 0
|-
| Per Officer's Mess (trade company investment) || {{green|+5}} || 0
|-
| Per Admiralty (trade company investment) || 0 || {{green|+5}}
|}
 
===Updating force limits===
 
Force limits are normally recalculated by the game on the first day of each month. To force an update in the middle of a month, you can activate a [[privateer]] mission and wait one day for the force limits to refresh. This may be necessary if one changes local autonomy levels in the middle of the month for example.
== More sources of force limit ==
{{SVersion|1.29}}
===Ideas and policies===
{{SVersion|Timeless}}
=== Government ===
{{SVersion|1.18}} '''====Land force limit'''===={| class="wikitable mildtable sortable"
|-
! Type !! Modifier
|-
| [[Steppe nomads]] || {{green|+10%/+20%/+30%}}depending on government level
|-
| [[Government#Tribal governments|Tribal Federation]] || {{green|+10%}}
|-
| [[Revolutionary republic]] || {{green|+20%}} if the [[factions#revolutionary_republic|Girondists]] are in power
|-
| [[Japan#Daimyo_.26_Shogunate|Shogunate]] || {{green|+0.5}} land force limit per subject daimyo if Sword Hunt decision has been taken (only with {{icon|moh}} [[Mandate of Heaven]])
|-
| [[Japan#Daimyo_.26_Shogunate|Daimyo]] || {{red|−2}} if subject to the Shogun who has taken the Sword Hunt decision (only with {{icon|moh}} [[Mandate of Heaven]])
|}
Additionally, the [[Holy Roman Empire|Holy Roman Emperor]] gets {{icon|land force limit}}{{green|+0.5}} land force limit per member state. '''====Naval force limit'''===={| class="wikitable mildtable sortable"
|-
! Type !! Modifier
|-
| [[Dutch Republic]] || {{green|+10%}} if the Statists are in power
|-
| [[Pirate Republic]] || {{green|+50%}}
|}
=== Subjects ==={{SVersion|1.18}}* [[Vassal]]s and [[client state]]s give {{icon|land force limit}}{{green|+1}} land force limit to their master.* [[March]]es give {{icon|land force limit}}{{green|+2}} land force limit to their master.* Large (more then 10 provinces) [[colonial nation]]s give {{icon|land force limit}}{{green|+5}} land force limit and {{icon|naval force limit}}{{green|+10}} naval force limit to their master.* Junior partners in a [[personal union]] and [[protectorate]]s don't increase the land force limit of their masters.
*[[Vassal]]s and [[client state]]s give {{icon|land force limit}}{{green|+1}} + {{green|10%}} of their land force limit to their master.* [[March]]es give {{icon|land force limit}}{{green|+1}} + {{green|20%}} of their land force limit to their master.* Large (10 or more provinces) [[colonial nation]]s give {{icon|land force limit}}{{green|+5}} land force limit and {{icon|naval force limit}}{{green|+10}} naval force limit to their master.* Junior partners in a [[personal union]] don't increase the land force limit of their masters. Following ideas and policies that increase land force limits increased by subjects. For example, an increase of {{green|100%}} would mean that all above mentioned bonuses would be doubled (2 + 40% instead of 1 + 20% land force limit from marches or 10 instead of 5 from colonial nations).
{{bonus table|vassal forcelimit bonus}}
== Effect on maintenance ==
{{SVersion|1.1129}}If a country has more land or naval units than the corresponding force limit, maintenance for those units will be multiplied by the ratio of units to the force limit. For example, being at with the units over the force limit counting twice <ref name=defines> See in {{path|defines}} </ref>.<math>\text{Maintenance increase} = \frac{\text{Force limit}+\text{Number of units over the force limit will double the maintenance for each unit.}\cdot 2}{\text{Force limit}}</math> <br>
Light Ships suffer increased cost as wellFor example, which squares having 12 regiments of infantry while at a force limit of 10 will increase maintenance for all regiments by 40%, independent of the effect on their maintenancetype of unit.
== Strategy =={{SVersion|1.11}}For purposes of this sectionAs can be seen, assume going over the ''average base maintenance'' per unit—that is, force limit will very quickly increase the maintenance cost of a unit before force limit modifiers—is constantcosts and should only be done when absolutely necessary. Define Going over the ''land force limit ratio'' aswill not increase the costs for naval units and vice versa.
<math>\text{force limit ratio} = \frac{\text{number of units}}{\text{force limit}}</math>== Total maintenance cost ===
=== Total The total maintenance cost of an army or navy is: <math>\text{total maintenance cost } ===\text{average base maintenance}\cdot\text{number of units}</math>
The total maintenance cost of an army or navy isOr, when above force limit:
<math>\text{total maintenance cost} = \text{average base maintenance}\cdot\text{number of unitsMaintenance increase}\cdot\text{max(force limit ratio, 1)number of units}</math>
In this case, when above the force limit:
* A multiplier to force limit has the same effect as a reciprocal multiplier to maintenance.
* The number of units that can be fielded for a fixed maintenance cost grows as the square root of the force limit.
 
For a navy of pure light ships, the total maintenance cost is instead
 
<math>\text{total maintenance cost} = \text{average base maintenance}\cdot\text{number of units}\cdot\left(\text{max(force limit ratio, 1)}\right)^2</math>
 
In this case, when above the force limit:
* A multiplier to force limit has the same effect as a reciprocal squared multiplier to maintenance.
* The number of units that can be fielded for a fixed maintenance cost grows as the cube root of the force limit.
== Footnotes ==
<references/>
 
{{mechanics navbox|War}}
[[Category:Military]]
{{military navbox}}
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