Acute onset of hypocarbia can cause cerebral vasoconstriction and though, in the past, there was a vogue for hyperventilating head injured patients so reducing CBF, the current practice is to maintain normal/low normal levels of PCO2. This is because acute decline in CBF flow can cause symptoms of dizziness, mental confusion, syncope and seizures.
One positive of hypocarbia is the rise in PO2 as oxygen replaces the CO2 expired. This interrelationship is represented by the alveolar gas equation (AGE):
Where FiO2 is the inspired oxygen concentration.
This principle is utilised by free divers who hyperventilate prior to their descent thus replacing the CO2 with O2 allowing more protracted breath holding.