Police began a search for him that day with fears he had drowned in the river.
The search continued all week up to the time police were advised yesterday that Mr Taunoa had contacted a member of his family.
“We now believe Mr Taunoa is alive,” search co-ordinator Sergeant Greg Lexmond told The Gisborne Herald yesterday afternoon.
“A family member contacted us to say he had been in contact with them to let the family know he was alive.
“His whereabouts are still unknown at this stage and we would urge anyone who knows where he is to contact police or his family.”
Sergeant Lexmond said police wanted Mr Taunoa on alleged criminal matters.
“We believe he did enter the river after he left his car on the bank, but somehow he got out of the river again.
“Exactly how all that happened we look forward to discussing with him, when we catch up with him,” Sergeant Lexmond said.
“Now we would ask him to give himself up. He has wasted enough of our time already.”
Police, search and rescue personnel and other volunteers searched the river all week, and the police national dive squad searched the river as well on Tuesday.
A surf lifesaving inflatable rescue boat and crew and police from Gisborne continued the search yesterday morning.
“We have not put a cost on the search operation because we do not when we are trying to save someone’s life, or recover a body.
“But it is fair to say the costs involved have been substantial, and a cost to the taxpayer,” Sergeant Lexmond said.
“The situation has also been unbearably tough on Mr Taunoa’s family.
“His family are understandibly very relieved he is still alive, and so are the members of the search team.
“But it is now in his best interests to hand himself in.”