That might include, for example, the ability for police or "enforcement officers" to close certain premises or roads, ban certain types of travel or congregations, or require people to be physically distant or to stay at home in their bubbles if necessary.
It also would allow warrantless searches of private property if there was a reasonable belief that the alert level rules were being broken, such as gatherings of more than 10 people.
This has led to concern about the sweeping powers given to police to be potentially abused, although Coster - who took over as Commissioner in the early days of the level 4 lockdown - told the Herald that New Zealanders could be reassured that frontline police will not overstep the mark.
"We police by consent. We're being really careful in our approach to policing during Covid-19, where we've had access to some pretty remarkable powers.
"Every time we've changed levels, there's been a period of adjustment as people get their heads around what the controls mean. We understand that, we need the buy-in of the community, so that's why we've stepped very carefully before we get to enforcement."
Any fears that police would spy on houses to monitor the number of people inside were unfounded, says Coster, who said the new powers would be used only on blatant rule breakers.
The vast majority of the public were following the rules anyway because they understood the need to stop the spread of Covid-19, said Coster.
"The legislation gives the police a mechanism to act on the people who are flouting the controls and putting others at risk. There's no need for widespread enforcement action because that suggests there's not widespread buy-in from the public. There is.
"Our enforcement will, generally speaking, be when a member of the public has observed behaviour and thinks 'this is out of hand and something needs to be done'," said Coster, giving an example of a party spilling from a home into the street.
"That's where our effort will go. We're not waiting outside every house waiting to see how many people go wandering in."
READ MORE:
• Covid 19 coronavirus: Live - Government dumps thousands of pages of official Covid papers
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• Covid-19 coronavirus: What will life look like under alert level 2
• Covid 19 coronavirus: Researchers find New York was the 'gateway' for US infections
• Covid19.govt.nz: The Government's official Covid-19 advisory website