I didn't see any information about this in the manual and I couldn't find any posts about it but how are the game statistics calculated? Land Mass and Population are easy enough to figure out but what about Life Expectancy or Military Service?
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Try this:
Approval Rating - Ratio of happy to unhappy people
GNP - Income based on trade and tax/luxury rates
Since it is based on the tax slider, it can't be your total commerce "production" (total income). It is the part of your total commerce income that goes to taxes instead of science or luxury. I don't know however if buildings and military upkeep is deducted or not to get the final sum.
Manufactured goods - Total number of shields
Family size - Based on average food surplus
Military Service - Number of military units in relation to population
Productivity - Shields per total squares inside your borders (in civ2 it was shields minus support per square in use so I guessed that now it must be squares inside your borders)
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Bamspeedy did a complete rundown of the demographics on the civ fanatics site.
Of course, I'm rarely high on the military rating, but that's because I have so many citizens compared to military.badams
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