The man whose body was found in a wooded area behind a former Kmart store in Middle Island was shot to death and has been identified as Alexander P. Incorvia, Suffolk County police said.

Police said Sunday that the 26-year-old victim had been staying at the Comfort Inn at 2695 Rte. 112 in Medford and they were still working to piece together the circumstances surrounding the shooting.

A police spokeswoman also said that it was “not being disclosed” whether the weapon was found or the caliber of the gun that was used.

Incorvia’s body was discovered by a woman who was walking her dog at about 2:45 p.m. Saturday on a path in the woods behind the former Kmart store that was located at 1075 Middle Country Rd., police said.

Police said Incorvia had been reported missing on Thursday and was last seen leaving the hotel.

“He was a wonderful young man who was taken from us way too soon,” said the victim’s uncle, Anthony Incorvia of Queens, in a telephone interview Sunday.

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Anthony Incorvia said he did not know why his nephew was staying at the hotel.

The manager of the Comfort Inn, who declined to be identified by name, said in a telephone interview Sunday morning that he does not normally work the front desk, so he did not personally come in contact with the victim.

“He was just here two or three days — he wasn’t staying here for a long time,” the manager said. “He paid for the room and there was nothing (owed) outstanding.” He said no employees recalled seeing the victim.

“We secure payment before they check in,” the manager added. “A lot of times they don’t care to check out at the desk. He never showed up, so we don’t know when he left.”

Detectives asked anyone with information to please call the homicide squad at 631-852-6392 or to call anonymously to Crime Stoppers at 1-800-220-TIPS.