Cop shooter Rhys Warren has lost his challenge against his conviction.

The man who shot four Armed Offenders Squad members in a house near Kawerau has had appealed his conviction by stating courts had no authority to prosecute him.

He also argued changing his name meant he was not the "same person" who was convicted.

Rhys Richard Ngahiwi Warren, now referring to himself as Te Tangata Whenua, was sentenced to preventive detention when he appeared for sentence at the High Court in Tauranga in August.

GEORGE HEARD/FAIRFAX NZ The siege, near Kawerau, lasted 22 hours (File).

He faced two charges of attempted murder, three of using a firearm against a law enforcement officer and one of wounding with intent to cause grievous bodily harm.

Constable Regan Mauheni, Constable Damian White, Constable Andrew Flinn and Sergeant Logan Marsh – were all shot by Warren on March 9, 2016, during a siege on Onepu Springs Road, about 5 kilometres from Kawerau.

Throughout his trial, and sentencing Warren, and his supporters, argued the crown had no jurisdiction over him as he was a "natural born man following natural law".

Court of appeal documents say Warren also argued that he is now Te Tangata Whenua and merely presiding over the deceased estate of the "fiction" that was Rhys Warren.

This argument was given "no prospect of success" from the Court of Appeal.

Another argument centred around the authority the courts had to prosecute him entirely and claimed this was impossible based on "maori sovereignty".

"The proposed jurisdictional argument based on Maori sovereignty was also made in his application for leave to appeal against the earlier High Court judgment and was described by this Court as having no prospect of success.

"Nothing has changed in the nine months since that decision was delivered to change the argument's prospects of success.

"A similar argument was rejected by this Court in the 2016 case...The applicant's repetition of this argument despite its previous rejection amounts to an abuse of the Court's process."

The court of appeal also ruled there was no miscarriage of justice from Warren being removed from the court room during proceedings.