The rise in New York City’s poverty rate as a result of the recession has apparently eased, but not before pushing nearly half of the city’s population into the ranks of the poor or near-poor in 2011, according to an analysis by the Bloomberg administration.

That year, according to the city’s measure, about 46 percent of New Yorkers were making less than 150 percent of the poverty threshold, a benchmark used to describe people who are not officially poor but who still struggle to get by. That represents a rise of more than three percentage points since 2009, when the nation’s recession officially ended.

By the city’s definition, a family with two adults and two children could earn $46,416 a year and still fall within 150 percent of the city’ poverty level. Unlike the official but rigid federal poverty level, the city’s measure balances the added value of tax credits, food stamps, rent subsidies and other benefits against expenses like health and day care, housing and commuting that reflect New York’s higher living costs. The city says a two-adult, two-child family is poor if it earns less than $30,949 a year. The federal government sets the level at $22,811.

Though more New Yorkers were working in 2011 than the year before, larger shares of children and working adults were classified as poor in 2011, and the proportions of Asians, noncitizens and Queens residents — overlapping groups — each rose by more than four percentage points since 2008.