WASHINGTON — Black children were almost four times as likely as white children to be living in poverty in 2013, a new report has found, the latest evidence that the economic recovery is leaving behind some of the United States’ most vulnerable citizens.

The share of American children living in poverty fell to about 20 percent in 2013 from 22 percent in 2010, according to the report by the Pew Research Center, which analyzed data from the United States Census Bureau.

But the poverty rate remained stable for black children, while it fell for Hispanic, white and Asian children, a sign of just how pervasive and stubborn poverty has been for African-Americans, according to the report. About 38.3 percent of black children lived in poverty in 2013, nearly four times the rate for white children, at 10.7 percent. About 30.4 percent of Hispanic children and 10.1 percent of Asian children live in poverty.

For the first time since the federal government started collecting the data, the number of black children in poverty appears to have overtaken the number of poor white children, even though white children far outnumber black children in the American population, the report said. About 4.2 million black children were living in poverty in 2013, compared with 4.1 million white children, though researchers said the difference was not statistically significant.