With Nicolas Petrosky-Nadaeu, he writes (scroll down at the link for the paper),
In the bottom 10 percent of households by household income, 33 percent of individuals participated in the labor market in 1998-1999. By 2011-2013 this proportion was 44 percent. At the other end of the household income distribution, the rate of labor market participation fell from 81 to 76 percent. The largest decline was for individuals living in households in the third quartile of the household income distribution, where the participation rate fell from 74 percent to 68 percent.
Pointer from Tyler Cowen.
Usually, I would have possible explanations handy. In this case, I am so stumped that I am willing to offer the possibility that their statistics are not accurate.
UPDATE: Possibly relevant:
According to a recent Pew report, the percentage of mothers who stay at home with their children (a statistic that includes non-working single mothers) fell from 49% in the late 1960s to a low of 23% in 1999, but then rose to 29% by 2012.