Sacramento County suffered a net loss of about 500 family day care homes and 10 large child care centers between 2006 and 2008, according to a new study by the California Child Care Resource & Referral Network. Those closures reduced available child care slots in the county by more than 4,300, or roughly 8 percent. Ongoing job losses and foreclosures have caused the trend to continue, several child care providers and experts said.