Brevet Sergeant Doig was killed and Sergeant Michael Hutchinson wounded after they were allegedly shot by Jaydn Stimson, 26, at a rural property in Senior, near the Victorian border, on Thursday night.
Just hours after addressing the public about the incident on Friday, Police Commissioner Grant Stevens learned his 18-year-old son, Charlie, had been involved in an alleged hit-run in Goolwa, about 90km southeast of Adelaide.
Charlie Stevens died on Saturday night.
Stimson remains in hospital under police guard and has been charged with murder and attempted murder.
He is set to face a bedside hearing through the Adelaide Magistrates Court on Monday afternoon.
Premier Peter Malinauskas said landmarks would on Monday night be lit up in blue in memory of Mr Doig and in support of the police family more broadly.
"It's been a weekend in which the preciousness of life, certainly in my little world, has been in full view," he told ABC radio on Monday.
"Just how fragile life is and how fortunate we are to experience it and how quickly it can be taken away.
"It's important we savour every moment and value the things that matter most and family is paramount among those.
Police Commissioner Grant Stevens's son Charlie died after an alleged hit-run.
"Police in South Australia are not just an important institution but an institution we invest our hope in when things are going wrong and our trust in on a permanent basis, so when something like this happens it is confronting."
Blue lights will shine on buildings across Adelaide, including SAPOL headquarters, Adelaide Oval, parliament house and Adelaide town hall.
Deputy Commissioner Linda Williams said Sgt Hutchinson was doing well after being treated at Flinders Medical Centre and had received a "huge amount of support".
Constable Rebekah Cass, who was also at the scene of the shooting but was uninjured, was being supported by fellow officers and her family, she said.
"What those three members faced and obviously cost Jason his life was unimaginable," Ms Williams told ABC Radio.
"We obviously have been heart-warmed by the outpouring of support across the community for both Jason and Charlie.
"We really appreciate the community coming together to support us in what is a truly difficult time."
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