Authorities identified the pilot pulled from plane wreckage in the San Pablo Bay as David Plumb of Rocklin, California, SFGate.com reported.
Plumb, 33, died after the 1965 Cessna 210 he was flying crashed with a Hawker Sea Fury TMK 20 around 4 p.m. on Sunday.
His plane fell into the bay and was pulled out on Wednesday -- with his body still inside -- from 13-foot-deep water and 1 1/2 miles from the Richmond shoreline, according to Jimmy Lee, spokesman for the Contra Costa County Sheriff's Office.
However, the Hawker landed at Eagle's Nest Airport in Ione about 40 minutes after the crash. The pilot and passenger -- a husband and wife -- were not injured.
The wreckage was taken out by a salvage boat and was transported to an undisclosed location. Investigators with the National Transportation Safety Board will try to fix the plane to determine what caused the collision, SFGate.com said.
A preliminary report could be released by Monday, officials said.
An autopsy is scheduled for Thursday. According to records, Plumb was a licensed pilot and airplane mechanic.
Both planes, which took off from Eagle's Nest Airport, had been in Half Moon Bay earlier Sunday for the Pacific Coast Dream Machines. The Hawker, also called Dreadnought, is a Korean War-era plane.
Witnesses at Point San Pablo Yacht Harbor told the San Francisco Chronicle that the Cessna spiraled out of control and crashed into the water after the collision.
"Everyone associated with the Pacific Coast Dream Machines Show is terribly saddened by this news and we hope and pray the missing plane and survivors are found," the event organizers said in a statement, according to the Los Angeles Times.
