Douglas County's jobless rate continued its six-month slide, dropping to 10.9 percent during December.That's because its labor force shrank to the lowest number of the year, as did the number of total employed and the number of unemployed.At 18,200, the county had the lowest number of employed for the year. In all, 2,220 collected unemployment during the month of December. The unemployment rate for November was 11.3 percent.Despite the decreases, Douglas County edged back into the top five counties with the highest unemployment rates.Neighboring Lyon County continued to lead the state with a 13.7 percent rate, followed by Nye, Lincoln …