Well, since I'm trying to understand in details EU4's combat mechanics, I've studied thoroughly the Wiki page about this topic: http://www.eu4wiki.com/Land_warfare
After figured out the distinction between Morale Pips and Fire/Shock Pips (cf. this topic), I tried to put my knowledge into practice.
Let's assume we have a battle between the attacking Cherokees and the defending Powhatans (EU4 v1.4.1):
* 6 Infantry Regiments of Native American Archers (1 Offensive Shock, 1 Offensive Morale) on each side.
* A +0.25 infantry modifier for Fire, and a +0.30 infantry modifier for Shock (since Tech 1) on each side.
* A Cherokee leader with 0 Fire, 2 Shock, and a Powhatan leader with 2 Fire, 1 Shock.
* The Cherokees start with a morale of 2.08, and Powhatans with a morale of 2.06.
* 100% of discipline on each side.
* 0.50 of military tactics on each side.
* A -1 terrain modifier for the Cherokees due to a crossing river.
* A starting die of 9 for the Cherokees and a die of 7 for the Powhatans.
The battle starts in a Fire phase. Since each army is small and have only infantry, we could ignore the deployment phase.
According to the Wiki page, we have to compute first the die result for casualties on one hand and for morale damage on the other hand as follow:
(1) die result casualties = die roll + (attacking leader Fire - defending leader Fire) + (attacking unit attack Fire Pips - defending unit defense Fire Pips) - terrain modifiers
(2) die result morale = die roll + (attacking leader Fire - defending leader Fire) + (attacking unit attack Morale Pips - defending unit defense Morale Pips) - terrain modifiers
Attacker (Cherokees)
die result C = 9 + (0 - 2) + (0 - 0) - 1 = 6
die result M = 9 + (0 - 2) + (1 - 0) - 1 = 7
Defender (Powhatans)
die result C = 7 + (2 - 0) + (0 - 0) - 0 = 9
die result M = 7 + (2 - 0) + (1 - 0) - 0 = 10
Next, we have to compute the base casualties (for actual casualties and for morale damage) using the base casualties table.
Attacker (Cherokees)
base casualties C = 50
base casualties M = 60
Defender (Powhatans)
base casualties C = 80
base casualties M = 90
And finally, we can compute the casualties and the morale damage (patch 1.4 states that morale damage is increase by 10% and every day, each unit in a combat losses 0.01 morale).
(3) casualties = base casualties * attacking unit strength * attacking unit modifier * (100% + attacking unit Combat Ability) * attacking unit Discipline / defending unit Tactics
(4) morale damage = (base casualties * 0.01 / 6 * attacking unit strength * attacking unit maximum morale * (100% + attacking unit Combat Ability) * attacking unit Discipline / defending unit Tactics) * 1.1 + 0.01
Attacker (Cherokees)
casualties = 50 * 1 * 0.25 * (1 + 0) * 1 / 0.5 = 25
morale damage = (60 * 0.01 / 6 * 1 * 2.08 * (1 + 0) * 1 / 0.5) * 1.1 + 0.01 = 0.4676
Defender (Powhatans)
casualties = 80 * 1 * 0.25 * (1 + 0) * 1 / 0.5 = 40
morale damage = (90 * 0.01 / 6 * 1 * 2.06 * (1 + 0) * 1 / 0.5) * 1.1 + 0.01 = 0.6898
So, computations show that Cherokees should inflict 25 casualties and 0.4676 morale damage per unit to Powhatans, and Powhatan, 40 casualties and 0.6898 morale damage per unit, considering the fact that armies are small (6 regiments each) without "idle" regiments. In the end, based on computations, Cherokees should suffer 6 * 40 = 240 casualties and 0.6898 morale damage, and Powhatans should suffer 6 * 25 = 150 casualties and 0.4676 morale damage.
However, it seems to be wrong since in the game with the same initial conditions, results are different. In the first day of battle, Cherokees suffer only 160 casualties and 0.31 morale damage, and Powhatans suffer only 140 casualties and 0.17 morale damage.
This is quite annoying not being able to rely on what is stated in the Wiki. I suspect the base casualties table to be deprecated but cannot have any proof of that of course. If anyone could bring me some lights, this would be really helpful.
Thanks for having read so far. ^^
After figured out the distinction between Morale Pips and Fire/Shock Pips (cf. this topic), I tried to put my knowledge into practice.
Let's assume we have a battle between the attacking Cherokees and the defending Powhatans (EU4 v1.4.1):
* 6 Infantry Regiments of Native American Archers (1 Offensive Shock, 1 Offensive Morale) on each side.
* A +0.25 infantry modifier for Fire, and a +0.30 infantry modifier for Shock (since Tech 1) on each side.
* A Cherokee leader with 0 Fire, 2 Shock, and a Powhatan leader with 2 Fire, 1 Shock.
* The Cherokees start with a morale of 2.08, and Powhatans with a morale of 2.06.
* 100% of discipline on each side.
* 0.50 of military tactics on each side.
* A -1 terrain modifier for the Cherokees due to a crossing river.
* A starting die of 9 for the Cherokees and a die of 7 for the Powhatans.
The battle starts in a Fire phase. Since each army is small and have only infantry, we could ignore the deployment phase.
According to the Wiki page, we have to compute first the die result for casualties on one hand and for morale damage on the other hand as follow:
(1) die result casualties = die roll + (attacking leader Fire - defending leader Fire) + (attacking unit attack Fire Pips - defending unit defense Fire Pips) - terrain modifiers
(2) die result morale = die roll + (attacking leader Fire - defending leader Fire) + (attacking unit attack Morale Pips - defending unit defense Morale Pips) - terrain modifiers
Attacker (Cherokees)
die result C = 9 + (0 - 2) + (0 - 0) - 1 = 6
die result M = 9 + (0 - 2) + (1 - 0) - 1 = 7
Defender (Powhatans)
die result C = 7 + (2 - 0) + (0 - 0) - 0 = 9
die result M = 7 + (2 - 0) + (1 - 0) - 0 = 10
Next, we have to compute the base casualties (for actual casualties and for morale damage) using the base casualties table.
Attacker (Cherokees)
base casualties C = 50
base casualties M = 60
Defender (Powhatans)
base casualties C = 80
base casualties M = 90
And finally, we can compute the casualties and the morale damage (patch 1.4 states that morale damage is increase by 10% and every day, each unit in a combat losses 0.01 morale).
(3) casualties = base casualties * attacking unit strength * attacking unit modifier * (100% + attacking unit Combat Ability) * attacking unit Discipline / defending unit Tactics
(4) morale damage = (base casualties * 0.01 / 6 * attacking unit strength * attacking unit maximum morale * (100% + attacking unit Combat Ability) * attacking unit Discipline / defending unit Tactics) * 1.1 + 0.01
Attacker (Cherokees)
casualties = 50 * 1 * 0.25 * (1 + 0) * 1 / 0.5 = 25
morale damage = (60 * 0.01 / 6 * 1 * 2.08 * (1 + 0) * 1 / 0.5) * 1.1 + 0.01 = 0.4676
Defender (Powhatans)
casualties = 80 * 1 * 0.25 * (1 + 0) * 1 / 0.5 = 40
morale damage = (90 * 0.01 / 6 * 1 * 2.06 * (1 + 0) * 1 / 0.5) * 1.1 + 0.01 = 0.6898
So, computations show that Cherokees should inflict 25 casualties and 0.4676 morale damage per unit to Powhatans, and Powhatan, 40 casualties and 0.6898 morale damage per unit, considering the fact that armies are small (6 regiments each) without "idle" regiments. In the end, based on computations, Cherokees should suffer 6 * 40 = 240 casualties and 0.6898 morale damage, and Powhatans should suffer 6 * 25 = 150 casualties and 0.4676 morale damage.
However, it seems to be wrong since in the game with the same initial conditions, results are different. In the first day of battle, Cherokees suffer only 160 casualties and 0.31 morale damage, and Powhatans suffer only 140 casualties and 0.17 morale damage.
This is quite annoying not being able to rely on what is stated in the Wiki. I suspect the base casualties table to be deprecated but cannot have any proof of that of course. If anyone could bring me some lights, this would be really helpful.
Thanks for having read so far. ^^
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