[Endoperez]

Most of these answers aren't that important. Instead of formulas, you need to know how to use dominion and what you should be careful about.

Higher dominion is better, but dominion of 4-5 is enough. Having too low max dominion score can be dangerous.

Province with a dominion value of only 1 or 2 will most likely not be under the full scales you chose, which can be important in case of rich farmlands and income-increasing scales.

If you have significantly lower dominion than your opponent, investing (and protecting!) temples and/or priests would be a good idea.

Under negative dominion, positive scales won't help you even if it was your dominion that originally brough those scales there.

Nations who need a spesific temperature need higher dominion, e.g. EA Abysia loses lots of income in Cold 1 province.