Report: âChild care desertsâ hit poor, rural Arizona families hardest Greenlee County had the smallest deficit between childcare supply and demand, with a gap of 12.2%. Most of the other counties were at 30% or higher, with Graham County posting the highest gap in the state at 72%. (Source: WWNY) By Olivia Munson | January 6, 2021 at 6:13 AM MST - Updated January 6 at 6:13 AM WASHINGTON â Arizona has 304,180 infants and toddlers who need child care but only 234,270 slots to accommodate them, with poor and rural families most likely to be left out, a recent study said. Ari...