LOS ANGELES – Investigators are re-examining more than 30 cold case files to see if they can be tied to a suspect in the “Grim Sleeper” killings, the police chief said Friday.

The cases, dating back to 1984, will be scoured for leads in light of new information gleaned since Wednesday’s arrest of Lonnie Franklin Jr.

“Now that we know who he is, where he lives, the cars he drove, have people to interview, we will go over all those old cases and look for connections,” Los Angeles Police Chief Charlie Beck said. Investigators will upload Franklin’s DNA profile into a national database to see if it matches other samples, Beck said.

Franklin was dubbed the Grim Sleeper after a string of murders of young black women had south Los Angeles on edge in the mid-1980s. Then the killings suddenly stopped, only to resume again 14 years later.

Now, investigators say they have possibly uncovered the reason for the long respite: He may have been spooked by a near miss by police in 1988.

Franklin was arrested Wednesday at his lime-green house, just three doors down from a home that was searched extensively by police 22 years ago after the killer’s only known survivor led cops there.

Beck also noted that billboards plastered with a $500,000 reward and the suspect’s police sketch were posted just eight blocks from Franklin’s house and he drove by them every day.

“We think that impacted the suspect’s behavior in one of two ways: either he became more careful or he stopped his behavior for a number of years. That’s an evolving theory,” Beck said. “It’s going to be difficult to be absolutely certain absent his confession.”

Law enforcement said despite more than two decades of old-fashioned police work, they were eventually able to crack the case using a brand new — and controversial — technique of “familial DNA.”

In early June, the LAPD submitted DNA evidence found on victims to the state Department of Justice, where geneticists in ran it through a database of 1.5 million samples.

The database found no identical matches, but did find a “familial” match to a convicted felon whose DNA indicated he was either a brother or the son of the killer. An earlier search in 2008 had found no familial matches, but Franklin’s son was added to the database in recent months for a felony weapons conviction.

State investigators alerted the LAPD of Franklin’s identity on June 30 after verifying the match through birth certificates, incarceration records and comparing Franklin’s address to locations where the victims were found.

But police still needed a sample of Franklin’s DNA to definitively match it to the genetic material found on the victims.

An undercover officer pretending to be a waiter in Los Angeles collected tableware, napkins, glasses and pizza crust at a restaurant where the suspect ate, allowing detectives to obtain a DNA match.