Formulae

by Alliances At War

If you don't understand everything immediately there is a legend at the bottom, with the explanation of some letters.

Population

Total population: Pop = W * H * (1 + E + S + F) + N * O
(W = people per home (300 standard, uruks: 450, dragons: 50, britts: 600)
H = homes, E = elendianbonus (0.1), S = warding-science, F = famebonus (Fame / 100,000)
N = people per non-home (standard: 20, 15 or 10, dragon: 5), O = other buildings)

Citizens per Non-Home Building

Production

Tax-income: (4/[(1.017*)^(acres/50)])* Q
Mine-income: M = 400 (Balrog: 200, Dragon: 100)
Military upkeep: (Raw off + Raw def) / 30 + (number of basics, specs and elites) / 10 + thieves / 4

Food-consumption: Fc = 0.15 * Pop
(Britt&Mori)Food-consumption: Fc = 0.075 * Pop
Farm-production: Fp = 250 * (1 + LoH + P)
Farms needed: F = Fc / Fp

Wood-production: Wp = 25 * Y

Exploration

Money: Cr = 9 L * DF * Economics Research - 12 * Markets (minimum: 800cr)
(Dwarf) Cr = Cr * 2
Defense: D = 0.10 L
Citizens: C = 0.06 L

Construction

Cr = 3.5 * L - 50 Markets (minimum: 400)
Optimal markets for money: Markets = (3.5 * L - 400) / 50 (= 7% - 8)

Wood: W = 0.05 * L + 50 - 0.5 Markets (minimum: 0.01 L + 50)
Optimal markets for wood: Markets = 0.08 * L (= 8%)

Research

Research: R / (31.68 L + 1.8 * R)
Decay: (0.02*RPA*Labs) + (0.12 - 0.3*Labs/L)* R / (31.68*research % / (1 - 1.8*research %))

Magic

Max Mage Level: Land / 100 (rounded)
Academies needed for ML when playing DE: Acads = (ML / 125) * Land
Magic Points: MP = Guilds * (1 + guilds / (land * 2)))
Magic Points growth: MPgr = MP / 8 * ( 1 + combat science / 2)

Thievery

Thievery Points: TP = Hideouts * (1 + hideouts / (land / 2)))
Thievery Points growth: TPgr = TP / 5 * ( 1 + combat science / 2)

Strength

From Military:
A fifteenth of a str pt for each off pt beyond half of def, if that is positive.
5% more str on the unit for having turtle at all, then 1/20:th of a str pt for each def pt
taking the highest of the two above
add bonuses from self spells
Note: ravens get double strength from their elites

From War Buildings:
75 str pts for each church, guard house, hideout, guild and academy.

From Thievery:
1,25 str pt for each thief

From Other:
( (Max citizens + basics + units in training) / (1 + offence specialists + defence specialists + elites + thieves + mystics) ) ^ 0,25 str pts

Strength = Military + War Buildings + Thieves + Miscellaneous

Heritage formula

Land
newLand = ((oldLand - 400) ^ 0.80459611995 + 400) * killHerMod

Notes:
- Max 2000 acres.
- min 400 acres.
- killHerMod is 1 by default. 0.75 with out of war kills and 0.5 if killed in war.

Starting money
newMoney = max(300000 * newRaceHerMod, newBarren * 400) + 36000 * newRaceHerMod * newLand

Notes:
- Max() means the formula that has the biggest outcome will be taken.
- newRaceHerMod/oldRaceHerMod is 1 by default. Some races are different:
- Balrog = 0.5
- Dragon = 0.25
- Brittonian = 2
- Light Elf = 1.6
- Uruk Hai = 1.5
(Numbers might be changed at any time without notification. The guide will not always be up-to-date)

Starting food
newFood = 40 * newCitzPerHome

Notes:
- newCitzPerHome is usually 300

Starting wood
newWood = newBarren * 56

Market money
newMarketMoney =
( oldBasicsAmount * oldBasicsCost +
oldOffspecsAmount * oldOffspecsCost +
oldDefspecsAmount * oldDefspecsCost +
oldElitesAmount * oldElitesCost +
oldThievesAmount * oldThievesCost )
* 0.02 * killHerMod / oldRaceHerMod * newRaceHerMod

Market soldiers
newMarketSoldiers =
( oldBasicsAmount +
oldOffspecsAmount +
oldDefspecsAmount +
oldElitesAmount +
oldThievesAmount )
/ 40 * killHerMod / oldRaceHerMod * newRaceHerMod

Market credits
newMarketCredits = 2 * newMarketMoney + (2 * newBasicCost + 15) * newMarketSoldiers

Starting fame
newFame = 5000 + oldFame * 0.04

Legend

C = Citizen
F = Farms
L = Land
LoH = Lord of Harvest (0.1)
DF = Deep Forest (0.9)
P = Economics Science
Q = Quanta (0.1)
R = Invested Research Points
Y = Yards

Last updated: Last month