From SEC filings:

Delta has also agreed that, starting in 2008, ASA is guaranteed to maintain its percentage of total Delta Connection flights that it has in 2007, so long as its bid for additional regional flying is competitive with other regional carriers.

AND

(i) ASA shall be scheduled to operate not less than [***] of all Delta Connection Program departures scheduled at Hartsfield-Jackson Atlanta International Airport (“Hartsfield”) and (ii) [***] ((i) and (ii) above, collectively, the “ATL Departure Percentages.”)


Not sure how the merger affects things but ASA and ASA only gets 80% of ATL DCI departures.