I got this one, James/Dook
To add/remove from a user's rep, you click this button under their name:

When you select "I approve," their rep will be given in a positive manner, adding as many points as your "rep power" is shown to be.
If you click "I disapprove," now you MUST enter a comment with said disapproval, and the user's rep will be DECREASED by ONE HALF the amount shown in your "rep power..."
You gain rep power through three elements:
Tenure: For every CALENDAR year you're on the forum (meaning every January 1st), your rep power grows one point.
Reputation: For every 100 (one hundred) whole rep points you gain, you get one point.
Posts: For every 1000 (one thousand) posts, you gain one point.
Once your rep dips below a certain point (which I am yet unaware of) your green squares become red and your "rep power" is, by default, zero until you cross back into the good.