One man is dead, and three others were shot, including two children, after gunfire rang out Saturday afternoon in an Arizona parking lot.

The shooting, which involved a sedan and an SUV, happened at about 2:45 p.m. local time in a business parking lot in south Phoenix. 

Phoenix Police Department (PPD) Sgt. Brian Bower said during a news conference there was a dispute between the two cars, and both then pulled into the parking lot.

The dispute continued in the parking lot and a physical fight ensued, according to Bower. After the fight, shots were fired.

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The male suspect was alone in the sedan, Bower said. A man, woman and two children were in the SUV.

Police said multiple rounds were fired and all four people in the SUV were shot.

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The man in the SUV died at the scene, according to Bower. The woman and two children who were also in the SUV were taken to the hospital and remain in critical condition.

Bower said the suspect, who has not yet been publicly identified, remained at the scene until police arrived. The man was also treated at the hospital and later taken into custody.

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Police did not confirm any pending charges against the suspect, noting he was speaking with detectives.

Detectives have not yet ruled out the possibility of the incident being related to road rage or self-defense, as there is no indication the two parties knew each other, according to Bower.

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The PPD did not immediately respond to additional inquiries from Fox News Digital.

This is a developing story. Please check back for updates.