From FFXI Wiki

Bayld is the points system associated with the Colonization effort in Adoulin areas, akin to Conquest Points or Allied Notes. Bayld can be acquired in a number of ways:

A number of Adoulin NPCs allow for bayld to be exchanged for various kinds of item rewards:

Monthly Adventurer Campaigns

There is one type of campaign that may run any given month.

Bonus Bayld Campaign