Investigators said they believe Dorner tried to steal a boat from someone in San Diego. He failed and fled, LAPD Chief Charlie Beck said.
Later, a wallet is found containing Dorner's identification and an LAPD detective's badge near the San Diego airport, police said.
February 7: LAPD officer shot in the suburb of Corona
In Corona, Dorner fired at Los Angeles police officers who were assigned to protect a person connected to Dorner's threats, police said.
One officer was grazed in the head; the wound was not life-threatening, the LAPD said.
The officers returned fire, and Dorner fled.
"Due to damage to the police vehicle because of his gunshots, the officers were unable to pursue him," Beck said.
February 7: Officer killed, another shot in Riverside
Riverside police said two of its officers were shot in an ambush at an intersection. One died, and the other was taken to a hospital.
Authorities believe Dorner drove up to the officers' vehicle at a stoplight and fired with a rifle.
The officer who died, a 34-year-old Michael Crain, had been on the Riverside force for 11 years.
The other officer was seriously wounded but expected to make a full recovery, Riverside Police Chief Sergio Diaz said.
February 7: Police shoot two in Torrance in mistaken identity case
While searching for Dorner, police shot two people in Torrance in a case of mistaken identity, the Los Angeles police chief said.
LAPD officers assigned to protect someone who "was under the most serious levels of threat" saw a vehicle early in the morning that looked like Dorner's, Beck said. He said the vehicle was moving down a street with its lights off.
The officers shot two people in the vehicle, but neither turned out to be connected to the Dorner case, Beck said.
Both were taken to a hospital. One was in stable condition Thursday with two gunshot wounds, and the other was expected to be released shortly, Beck said.
"I ... feel great sadness for the injuries suffered by ... the two uninvolved citizens in Torrance," he said.
Police also shot at another pickup matching the description of Dorner's vehicle in Torrance, but no one was injured in that incident, a senior law enforcement source said.
February 7: Details of manifesto
An LAPD source gave CNN a copy of the manifesto that Dorner allegedly wrote.
In the letter, he allegedly threatened to use his Navy training to harm police officers involved in his case and their families.
"I will bring unconventional and asymmetrical warfare to those in LAPD uniform whether on or off duty," Dorner allegedly wrote.
The letter said he was terminated after he reported excessive force by a fellow officer. The writer said his attacks were retribution for his termination, as well as a culture of racism and violence he said continues within the department.
February 7: Dorner's truck found on fire, police say