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, dragons: 50)
H = homes, E = elendianbonus (0.1 standard, 0.5 Light Elves), S = combat science, F = famebonus (Fame / 100,000)
N = people per non-home (standard: 10, dragon: 2), O = other buildings)

Citizens

• Each home holds 300 citizens.
• Each hideout holds 40 citizens.
• Each building that is neither a home nor a hideout holds 10 citizens.

Production

Tax income per citizen: 4 / 1.017^(acres/50) if L = 2000 or lower. Otherwise tax income per citizen is 2
Mine-income: M = 400 (Light Elf: 600, 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
Farm-production: Fp = 250 * (1 + LoH + P)
Farms needed: F = Fc / Fp

Wood-production: Wp = 25 * Y (Light Elf: 37.5 * Y)

Exploration

Money: Cr = (3000 + (6 L)) * Growth Research
Defense: D = 0.025 L * Growth Research
Citizens: C = 70 + 0.03 L * Growth Research

Construction

Cr = ((Acres ^ 0.96) / 10) * race modifiers
Wood = 4*acres^0.37 * race modifiers

Research

Research: R / (31.68 L + 1.8 * R)
Decay: 0.05*L + 0.007*RPs

Magic

Magic Points: MP = Guilds * (0.5+x)
Magic Points growth: MPgr = MP / 8 * ( 1 + combat science / 2)

• if size <=2000, x = (size+1000)/3000
• if size >2000, x = log4(size/500)

Thievery

Thievery Points: TP = Hideouts * (0.5+x)
Thievery Points growth: TPgr = TP / 5 * ( 1 + combat science / 2)

• if size <=2000, x = (size+1000)/3000
• if size >2000, x = log4(size/500)

Heritage formula

Land
newLand = 500+(0.025 * oldLand)
If newLand = 600 or lower, newLand = 600.

Notes:
- No max.
- minimum 600 acres.

Starting money
newMoney = 35000 * newLand * RaceHerMod

Notes:
- RaceHerMod is 1 by default. Some races have a different modifier:
- Balrog = 0.5
- Dragon = 0.2
- Dwarf = 1.5
- Light Elf = 1.8

Starting food
newFood = 8*starting_citz
Races without farms do not receive any food

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