Houston is better known for urban sprawl than dense apartment living. But as part of a national rush to capitalize on rising rents, developers there are building thousands of apartments like those south of downtown at Camden City Centre, where 268 units will open early next year in a complex that also has two swimming pools, billiards tables, a coffee bar and a fitness center.

As residential building recovers from a near standstill after the housing crisis, much of the momentum is coming not from subdivisions with green lawns and two-car garages but from rental apartments. Multifamily construction nationwide is two-thirds of the way back to its prerecession peak, while single-family home construction is still only about a third of the way back to its peak, said David Crowe, the chief economist of the National Association of Home Builders.

The multifamily construction recovery, fueled by young people who are striking out on their own, is strongest in the South and West, particularly in markets where job growth is picking up. Last month, the Commerce Department released data on new construction that showed new apartment complexes were going up at the fastest rate since July 2008.

That has led to a fear of overbuilding. While rents are still rising, analysts say the steep increases between 2011 and 2012 are unlikely to be repeated as a surge of units are completed in the latter part of this year and will continue to come on the market early next year. Nationally, residential rents rose 4.2 percent in 2011, but only 3.6 percent so far this year, according to Axiometrics, a Dallas-based apartment market research firm.