To fit the flavour of the core part of the scoring system:
A player's score is a sum of your domain scores.
Each scoring method is based off either a time-stretch or a percentage of achievements over the world's history.
Technology: The percentage of world technologies discovered by your civilization.
Culture: The cumulative sum of your culture
share.
Power: The cumulative sum of your military power
share.
Spaceship: The cumulative sum of "I have a space ship".
Economy: The cumulative sum of your GDP
share and Production
share.
Wonders: Your share of wonders built.
By changing many things to
share instead of sum, it means that the beginning game is about more than just setting up for the end game.
If the Egyptians are a mighty civilization for the first half of the game, their achievements don't fade to meaninglessness just because their civilization falls. You, as a player, can't play completely for the long game, because if you do other civilizations can build up too much of a lead...