chiefpaco
Emperor
I haven't seen any posts for an explanation of the territory scoring system so I did some investigation myself. The reason? I'd like to know how the domination calculation works. So here's step 1, knowing the territory scoring marker may help out. The investigation is still ongoing, but here are my results thus far & some conclusions. Try to stick with me here, I know I never read those long mathematical posts. Maybe start at the bottom & work your way up if you need to.
Scenario under test:
Standard Map, Pangea World, 70% water, Regent, Rome, Roaming.
Some Definitions:
Land Area - A - The square miles given in the F11 statistics screen divided by 100 for my purposes.
Territory Score - S - The territory score given for my civ on the F8 Scoring Screen
I recorded A and S for each turn in my trial game and here are the results. Note: I called the 1st turn of the game (4000BC) turn 0 for reasons stated later. I only built my one city, which I settled on the first turn. I only built some warriors (so no one would threaten me).
Turn - A - S
0 - 0 0 (4000BC)
1 - 9 27 (3950BC)
2 - 9 - 27
3 - 9 - 27
4 - 9 - 27
5 - 9 - 27
6 - 9 - 27
7 - 9 - 27
8 - 9 - 27
9 - 9 - 27
10 - 21 - 30.6 (3500BC)
11 - 21 - 33.5
12 - 21 - 36
13 - 21 - 38.1
14 - 21 - 39.9
The reason my land area expanded from 9 to 21 was the expansion of my borders due to the culture produced by my palace. An interesting note was that S jumped the same turn as A. It didn't take a turn of A to increase the score, S.
The calculation derivation:
As we can see, it looks like for the first 10 turns (including turn 0), S is simply A*3. I'll remember that. But where does the 30.6 come from? It wasn't too hard to figure out.
Let X represent the average Land Area. That would make X the sum of A each turn divided by the number of turns. At turn 10, there were 9 turns of A=9 and at turn 10, 1 turn of 21. That would mean X=(9*9+21)/10=10.2. Now, recalling that 3 factor yielded 10.2*3=30.6! It worked! And it worked for each successive score!
So the territory score was S=X*3 for this scenario. Where did the 3 come from? After further investigation (I don't want to post all the results here this is getting long enough), it was the difficulty level. Each difficulty level comes with a multiplier. 1 for Chieftain, 2 for Warlord, 3 for Regent, 4 for Monarch, 5 for Emperor, and 6 for Deity.
The next test was to determine the effect of settling on the second turn, not the first. This made all calculations divide over one more turn. Here were the results with the same scenario as above:
0 - 0 - 0
1 - 0 - 0
2 - 9 - 13.5
3 - 9 - 18.0
4 - 9 - 20.3
As shown, S is now averaged with the 0 score in turn 1. I noted that turn 0 (4000BC) does not seem to factor into the calculations. That's why I call it turn 0 to make the rest of the calculations easier.
Other factors I tested but did not seem to affect the results were the Map Size and Water Coverage.
There was one more observation, which I could term as a very minor bug. If you start a new game but have already quit a game in the same session, your turn 0 Territory Score is equal to the territory score in your last game. Turn 1, however, will show the correct score for your new game. So no big deal.
One other thing, exploring or knowing the rest of the world had no effect on the territory score. I just have seen some predict that it might, but it didn't in my cases.
So here are my conclusions (at least from this mini-test):
- Territory Score is equal to your Land Area average divided by the number of turns played and multiplied by your difficulty level.
- Score for each turn is calculated after your land area gains (thats why turn 0 looks irrelevant, but isnt)
- World size & water coverage had no effect on the territory score.
Tests yet to come:
- Larger scale testing, second city, longer period to see if my equation holds.
Recommendations drawn from the investigation:
- Building a City the first turn can lead to a higher score because you have no zero to factor into your territory.
- Playing a higher difficulty mathematically contributes to your score by acting as a territory score multiplier. I did not investigate the contribution to the Citizen score, but it could well be related in a similar fashion.
Aim:
- I'm still on the warpath to find the solution to the domination calculation. Is it tied to the Land Area or Territory. Perhaps Ill look closer at some posted domination saves.
Pathetic:
- Me . What a long investigation. Why don't I do something more useful?
I have seen bits & pieces of this calculation scattered around the boards here but I just wanted to try it myself & consolidate it in one place.
Anyone with feedback, analysis, or wants to join the battle, please post.
Scenario under test:
Standard Map, Pangea World, 70% water, Regent, Rome, Roaming.
Some Definitions:
Land Area - A - The square miles given in the F11 statistics screen divided by 100 for my purposes.
Territory Score - S - The territory score given for my civ on the F8 Scoring Screen
I recorded A and S for each turn in my trial game and here are the results. Note: I called the 1st turn of the game (4000BC) turn 0 for reasons stated later. I only built my one city, which I settled on the first turn. I only built some warriors (so no one would threaten me).
Turn - A - S
0 - 0 0 (4000BC)
1 - 9 27 (3950BC)
2 - 9 - 27
3 - 9 - 27
4 - 9 - 27
5 - 9 - 27
6 - 9 - 27
7 - 9 - 27
8 - 9 - 27
9 - 9 - 27
10 - 21 - 30.6 (3500BC)
11 - 21 - 33.5
12 - 21 - 36
13 - 21 - 38.1
14 - 21 - 39.9
The reason my land area expanded from 9 to 21 was the expansion of my borders due to the culture produced by my palace. An interesting note was that S jumped the same turn as A. It didn't take a turn of A to increase the score, S.
The calculation derivation:
As we can see, it looks like for the first 10 turns (including turn 0), S is simply A*3. I'll remember that. But where does the 30.6 come from? It wasn't too hard to figure out.
Let X represent the average Land Area. That would make X the sum of A each turn divided by the number of turns. At turn 10, there were 9 turns of A=9 and at turn 10, 1 turn of 21. That would mean X=(9*9+21)/10=10.2. Now, recalling that 3 factor yielded 10.2*3=30.6! It worked! And it worked for each successive score!
So the territory score was S=X*3 for this scenario. Where did the 3 come from? After further investigation (I don't want to post all the results here this is getting long enough), it was the difficulty level. Each difficulty level comes with a multiplier. 1 for Chieftain, 2 for Warlord, 3 for Regent, 4 for Monarch, 5 for Emperor, and 6 for Deity.
The next test was to determine the effect of settling on the second turn, not the first. This made all calculations divide over one more turn. Here were the results with the same scenario as above:
0 - 0 - 0
1 - 0 - 0
2 - 9 - 13.5
3 - 9 - 18.0
4 - 9 - 20.3
As shown, S is now averaged with the 0 score in turn 1. I noted that turn 0 (4000BC) does not seem to factor into the calculations. That's why I call it turn 0 to make the rest of the calculations easier.
Other factors I tested but did not seem to affect the results were the Map Size and Water Coverage.
There was one more observation, which I could term as a very minor bug. If you start a new game but have already quit a game in the same session, your turn 0 Territory Score is equal to the territory score in your last game. Turn 1, however, will show the correct score for your new game. So no big deal.
One other thing, exploring or knowing the rest of the world had no effect on the territory score. I just have seen some predict that it might, but it didn't in my cases.
So here are my conclusions (at least from this mini-test):
- Territory Score is equal to your Land Area average divided by the number of turns played and multiplied by your difficulty level.
- Score for each turn is calculated after your land area gains (thats why turn 0 looks irrelevant, but isnt)
- World size & water coverage had no effect on the territory score.
Tests yet to come:
- Larger scale testing, second city, longer period to see if my equation holds.
Recommendations drawn from the investigation:
- Building a City the first turn can lead to a higher score because you have no zero to factor into your territory.
- Playing a higher difficulty mathematically contributes to your score by acting as a territory score multiplier. I did not investigate the contribution to the Citizen score, but it could well be related in a similar fashion.
Aim:
- I'm still on the warpath to find the solution to the domination calculation. Is it tied to the Land Area or Territory. Perhaps Ill look closer at some posted domination saves.
Pathetic:
- Me . What a long investigation. Why don't I do something more useful?
I have seen bits & pieces of this calculation scattered around the boards here but I just wanted to try it myself & consolidate it in one place.
Anyone with feedback, analysis, or wants to join the battle, please post.