I disagree. It really can be anything. Production wise, all goverments are equal besides despotism - which can get a 1 food/shield/commerce deduction.
For science, it is proably either Democracy or the republic. But with these goverments, you don't get much in the way of unit support, hence, you generally have to cut back science spending - thus making em similar to monarchy/communism.
Income, again, it's circumstancial. If you have no military units whatsoever, it's going to be democracy. But if you have a huge military, it could be monarchy/communism. If you have a small-ish military, it would be Republic - but this depends whether you have C3C, as the goverments have changed.
You can't ask a question like that without giving a detailed explanation of your situation, or a save.