Alright, I sat down and had a look at the numbers, without reading what the rest of you have come up with so far. That way it's easier to catch a mistake, which otherwise might be overlooked. Here's what I came up with:
Crop Yield:
Here we have perfect knowledge obviously, since the "best" value increased after each settled city.
Sirius: 2 (from CC only)
Quatronia: 4 (CC plus a 2F tile)
CDZ: 5 (CC plus a 3F tile)
The only question mark is whether Quatronia and/or CDZ settled on top of a food resource. I will assume not.
MFG:
This is a lot less accurate since Sirius blanks out the others. But we actually have more knowledge than we could hope for. After CDZ settled, the "average" increased to 2, which means that the total MFG of those three teams must be >= 10. Since Sirius has 5, it means Quatronia and CDZ has (at least) 5 between them, like a 2 and a 3.
Most likely that means Quatronia has 3 and CDZ 2, to mirror their differing CY values.
EDIT: After reading DMOC's calculations, I can't believe I missed that we're 4th in MFG! That indeed means both Quatronia and CDZ have 2 as minimum. I updated below.
Sirius: 5
Quatronia: 3 [2-4, but >= 5-CDZ]
CDZ: 2 [2-5, but >= 5-Quatronia]
GNP:
This one is really interesting, since again we luckily have perfect knowledge. Sirius obviously has 18. When Quatronia settled, the average went up to 7, meaning Sirius + Quatronia >= 35. That means Quatronia must have 17 or 18. When CDZ settled, we know they have 19, but the average went up to 11. That means CDZ + Sirius + Quatronia >= 55, hence the only possible value for Quatronia is 18.
What is even more interesting is what this says about Quatronia and CDZ - they must both be researching 2nd tier techs to get values that high.
Sirius: 18 (4 ep, 4 culture (CRE) => 10 for research: 8 palace, 1 CC, 1 free)
Quatronia: 18 (4 ep, 2 culture => 12 for research: 8 palace, 1 CC, 1 free = 10, 10*1.2 = 12)
CDZ: 19 (4 ep, 2 culture => 13 for research: 8 palace, 1 CC, 1 free, 1 from tile = 11, 11*1.2 = 13)
Soldiers:
This is uninteresting since we had perfect knowledge even before the game started. We know what techs and units the other teams have already.
Land Area:
Here the averages are accurate enough to give perfect knowledge. Sirius has 7k (avg 1.4k), Quatronia has 7k (avg 2.8k), CDZ has 6k (avg 4k). So all teams have a coastal start (or lakes, but that's less likely), and CDZ has three coastal tiles in their inner FC.
Population:
Doh.
Approval Rate:
The "typical" value would be 83% after settling, since 5/6 = 0.83. Sirius hits that value, hence we know they didn't settle on a happy resource. Quatronia are CHA so get +1 happy, hence should be 6/7 = 85%. Check. CDZ could be either, the average isn't accurate enough to tell. Chances are fairly low that they got a plains hill gold and settled on it though...
Life Expectancy:
This is a far more interesting value than AR. Our own value is 85 - we have 2 free, +2 from river and +0.5*4 = 2 from forests. Hence 6/7 = 0.85. Sirius has the same - either they too have 4 (or 5) forests in their BFC, or they settled on a farm resource... on top of a plains hill? Nah... or they didn't have fresh water and instead have 8-9 forests. Not likely either. So 4-5 forests it is. Quatronia must also have 85, since the average went up to 34 and not 33. Same story there, 4-5 forests. It's also exactly the same for CDZ, 85 total.
The only
potential caveat here is that there is a different possible scenario. CDZ has 5 CY, so could potentially have settled on a Rice (or other farm resource) and are working a 2F1P1C tile instead of the guessed 3F1C. Actually Quatronia could have done the same, settled on a Rice and are working a 1F2P tile instead of the guessed 2F1P. In that case those teams would only have 2-3 forests in their BFC. But given the expected similarities of our starts otherwise, I find the likelihood of these scenarios to be rather minimal.
Hmm, there is of course also the possibility of jungles and/or flood plains in the BFC. Jungles add +0.5 unhealth, flood plains +0.4. You do the maths, a lot of different possible scenarios here. But I'll take the simple route and posit that they all have 4 (or 5) forests, like us. So...
Summary:
Sirius:
- Has a 2F 2P 1C city center, likely a plains hill.
- Is working a 3P tile.
- Is researching a 1st tier tech.
- Has 7 land tiles and 2 water tiles in their inner 9.
- Settled next to fresh water and have 4-5 forests in their BFC.
Quatronia:
- Has a 2F 2P 1C city center, likely a plains hill.
- Is working a 2F 1P tile.
- Is researching a 2nd tier tech.
- Has 7 land tiles and 2 water tiles in their inner 9.
- Settled next to fresh water and have 4-5 forests in their BFC.
CDZ:
- Has a 2F 2P 1C city center, likely a plains hill.
- Is working a 3F 1C tile.
- Is researching a 2nd tier tech.
- Has 6 land tiles and 3 water tiles in their inner 9
- Settled next to fresh water and have 4-5 forests in their BFC.
Noticeable is that all teams seem to have started on a coastal plains hill next to fresh water and forests. It smells engineered.