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Single-family housing starts rose modestly, but housing completions and building permits dropped from the previous month, according to the US Census Bureau.

The rising cost of lumber has continued to impede builders over the past several months, but despite those rising costs, new housing starts rose in May, according to data released Wednesday by the U.S. Census Bureau and the Department of Housing and Urban Development (HUD).

Single-family housing starts were up 4.2 percent from April to a rate of 1,098,000. That figure is 50.3 percent higher than the May 2020 rate of 1,046,000. Meanwhile, privately-owned housing starts were also up during May by an adjusted annual rate of 1,572,000 — 3.6 percent above the revised April estimate.

Single-family housing completions, however, did not see the positive growth that housing starts did — completions were 2.6 percent below the revised April estimate at a seasonally adjusted annual rate of 978,000. Privately owned housing completions were likewise down from the previous month, by 4.1 percent to a seasonally adjusted annual rate of 1,368,000. However, that figure is still 16.1 percent up from May 2020 privately owned housing completions.

The pace of single-family building permits also declined by 1.6 percent in May to a rate of 1,130,000. Privately owned housing permits, meanwhile, were down 3.0 percent from April to a seasonally adjusted annual rate of 1,681,000. Still, that rate was up 34.9 percent year over year.

Some economists believe housing starts will likely remain around the same level for the remainder of 2021 due to continued inventory demand.

“Strong demand, a need for inventory, and homebuilder optimism will keep a floor under activity, but builders continue to face supply constraints that may hamper or at least postpone construction,” Nancy Vanden Houten, lead economist at Oxford Economics, told Business Insider.