GABA is the most potent depressive neuroamine in human brains. It regulates many of the depressive and sedative actions in brain tissue and is critical for relaxation.
GABA is a highly regulated compound in vivo (in living), and is able to balance itself out in body tissues due to a myriad of factors.
Due to these regulation factors, GABA as a supplement does not exert many depressive effects on its own. The human body is too adept at regulation, and orally ingested GABA cannot alter human physiology to much of a degree.
GABA, however, is a target for many other compounds that can act vicariously (in a multitude of ways) to increase GABA levels, which ultimately causes depressive effects.
Supplemental GABA has been used in humans (for the purpose of enhancing growth hormone metabolism) in the dosage range of 3,000-5,000mg GABA. It is unsure if this is the optimal dosage.