(CNN) -- A California highway standoff ended Thursday when SWAT teams surrounded and arrested a father being sought in an Amber Alert along with four of his missing children, Montebello Police Department Capt. Luis Lopez told reporters.
The four children were recovered safely from the vehicle, Lopez said.
At one point, the father, Daniel Diego Perez, 43, appeared ready to jump off a high overpass after he left his car with two of his children and as SWAT officers closed in on him, footage aired by CNN affiliate KTLA showed.
Authorities are investigating a possible break in the mother's disappearance, however. Police found a woman's body in the trunk of another family vehicle, but authorities haven't confirmed her identity, police said.
During the standoff, California Highway Patrol Officer Tommy Doerr described Perez as "a murder suspect, so we are taking every precaution possible." But Lopez said Montebello police aren't describing Perez as a murder suspect.
The standoff occurred in Santee, about 30 miles (48 kilometers) north of the U.S.-Mexico border, and Daniel Lopez may have been heading to Mexico, where he has ties, Lopez said.
Daniel and Erica Perez own two black vehicles: a Toyota Camry sedan and a Honda, police said.
A woman's body was found in a car that matches a family vehicle: a black Honda that has the same license plate number as the couple's car, CNN affiliate KCAL reported.
Police would not say that the body is that of Erica Perez.
Police towed it away from where it was abandoned, at a hospital half a mile from the Perezes' deserted home.
On Thursday, the California Highway Patrol issued an Amber Alert for the four children. Daniel Perez had been last seen driving a 2014 black Toyota Camry with a California license plate of 7FDS891, authorities said.
The abducted children were identified as Jordan Dante, 11, Jaden Eric, 9, Tristin Devin, 8, and Alex Hayden, 6, the patrol said.
Family members told police that the Perezes' marriage was rocky and marred by domestic violence. The couple has a fifth son, who is staying with his grandmother.
Erica's sister, Pam Valdez, took journalists' questions at a news conference late Wednesday but quickly broke down into sobs and pleaded directly with the children's father.
"Please, Danny, bring the kids back. Just drop them off at a fire station somewhere," she begged. "Don't hurt them please. They're innocent."