Pax - a reverse depiction, how to decipher meaning

While we associate the Romans with warfare and world conquest, they were always keen to show that it was through their armies that they were able to guarantee peace within the provinces of the Roman Empire.

Reverse depiction of Pax

Pax can be identified by the olive-branch that she carries. She normally holds a sceptre or cornucopia in her other hand. Pax is a common subject on coins from the time of Julius Caesar until the 4th century AD, and particularly on 3rd century radiates. 

Reverse depiction of Pax with her attributes highlighted