“In a reflection of changes in the overall economy since the Great Recession, the U.S. unauthorized immigrant workforce now holds fewer blue-collar jobs and more white-collar ones than it did before the 2007-2009 recession,” Pew says.

Despite these advances, undocumented workers’ representation among all white-collar occupations remains low — just 2%. Agriculture has replaced construction as the industry with the largest share of undocumented workers. Sixteen percent of all ag workers were undocumented as of 2012, the most recent year for which data was available.

That compares with 12 percent for construction. In 2008, according to Pew, they comprised 14 percent of the construction industry and just 13 percent of farming.