The mother of the babies rescued after 40 days in the Amazon jungle was told to leave them as they lay dead.
The children’s father, Manuel Ranoc, said Magdalena Mukuduy survived four days after the plane crash.
Mr Ranok said his eldest daughter told him their mother had forced them to “get out” and save themselves.
The siblings, aged 13, nine, five and one, were rescued on Friday and airlifted out of the forest.
They were transferred to a military hospital in the country’s capital Bogota, where they are receiving medical treatment.
“It’s the same thing [13-year-old Lesly] In fact, it was clear to me that her mother was alive for four days,” Mr Ranok told reporters outside the hospital.
“Before he died, their mother said to them, ‘You get out of here. He’s going to show you the same kind of love that your father is going to see. You,'” she said.
More details are emerging about the children’s time in the wild and their amazing rescue – including the first things the children said when they were found.
Nicolás Ordonez Gomez, a member of the search and rescue team, remembers the moment he found the children.
“The older daughter, Leslie, with the little baby, ran to me. Leslie: “I’m hungry,” she told public broadcasting channel RTVC.
“One of the two boys was lying down. He got up and told me: ‘My mother is dead’. Rescuers responded with positive words, saying, “We are friends, we were sent by family,” he said.
“I want some bread and sausage,” Mr Ordonez Gomez said the boy replied.
In new footage of the children’s rescue released on Sunday, the four siblings appear emaciated from the weeks they spent fending for themselves in the wilderness.
Ms Mucutuy and her children were flying a Cessna 206 on May 1 on their way to San Jose del Guayare from Araguara in Amazonas province when it issued a Mayday warning due to engine trouble.
She and the two pilots were killed when it crashed. Their bodies were found at the crash site by the military, but it appears the children escaped the wreckage and went into the rainforest to seek help.
The missing children became the focus of a massive rescue operation involving dozens of soldiers and local residents.
Rescuers tracked down the children after spotting signs in the woods, including footprints and bitten fruit.
Members of the children’s community believed that their knowledge of fruits and forest survival skills would give them a better chance of survival.
Astrid Cáceres, head of the Colombian Family Welfare Association, said the timing of their experiment was “forest harvesting” and that they could eat the fruits in bloom.