Parts of the US could see another 12 inches of snow after days of devastating blizzards that have caused chaos across North America – as New York’s governor warned: “We know that the storm is coming back.”

The storm has caused at least 57 deaths in the US, with a further four people killed in Canada after a bus rolled over on icy roads in British Columbia.

In the US, 28 of the deaths were in the state of New York, most of them in Erie County, where the main city Buffalo has been hit hard.

President Joe Biden has authorised federal support for New York state, where tens of thousands of people have been left without power in the storm.

But temperatures have plummeted below normal from east of the Rocky Mountains to the Appalachians, with those in places like Jackson, Mississippi, being left with no water due to burst frozen pipes.

NBC News reported that in Buffalo desperate residents flooded Facebook groups seeking help.

One person asked for spare disposable nappies for twin infants, and another for medicine for a sick toddler. Several people made urgent requests for formula milk for babies.

One Buffalo resident with four small children wrote: “Running really low on food, been stuck in our house… Slightly starting to panic when I looked outside and seen it snowing more.”

Police in the city said on Sunday evening there were “isolated” instances of looting.

Erie County executive Mark Poloncarz described the blizzard as “the worst storm probably in our lifetime”, warning: “This is not the end yet.”

He said some people had been stranded in their cars for more than two days, with emergency services struggling against the terrible weather to reach those in need of help.

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Buffalo Bills players and staff returned to Buffalo to find their vehicles buried in deep snow following a blizzard.

New York Governor Kathy Hochul said during the weekend that many of the state’s ambulances and fire trucks were themselves stuck in the snow, and police in Buffalo appealed online for snow mobile owners to help.

On Monday, she called the storm “one for the ages”, adding that it and another big snowstorm just over a month ago had brought almost as much snow as the area would expect during the whole winter.

People who left their cars in search of warmth and safety were now trying to find them again, many of the vehicles having been buried under snow.

The Buffalo area was seeing between 2 to 3 inches of snow an hour, with it reaching as much as 2ft deep in Jefferson and northern Lewis counties, the National Weather Service (NWS) said. At Buffalo Airport, the snow had reached nearly 50 inches (1.27 metres) deep on Monday morning.

The NWS said the weather was proving particularly deadly because of the low temperatures and even lower wind chills which were proving dangerous for travellers who become stranded or people who work outside.

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And it is expected that more victims will be found as the snow clears – many of the fatalities already confirmed were people who froze while stranded in their vehicles.

Some victims died while shovelling snow and some died because ambulances could not reach them in time to respond to medical emergencies.

Many shops in Buffalo are closed and people have been told not to travel, leaving some resorting to pleas for donations of food and other household essentials.

Upstate New York was not the only area set to be in danger with western parts of the country also bracing for an incoming storm, as forecasters warned of a “potent surge of moisture” into the Pacific Northwest and California on Tuesday, threatening flash floods.

The storm also knocked out power in communities from Maine in the northeast of the country to Seattle in the southwest.

Storm-related deaths have been reported nationwide, including at least eight following crashes in Missouri, Kansas and Kentucky. A woman also died after falling through Wisconsin river ice.

Funding to fix the damage will improve the outlook – but it smacks of sticking plaster

The pledge of federal funds will help parts of the country blinking into the aftermath of this storm phenomenon.

The ‘bomb-cyclone’ – a double barrelled weather event so big they named it twice.

Large swathes of North America were blown sideways and buried, as Christmas was cancelled for millions of people.

Restoring infrastructure will take months and a president’s promise of hard cash will be vital in that process.

It’s good for logistics, even if it can’t buy back lives lost. Storm Elliott has been a human tragedy first and foremost.

New York state and other parts of the country have been screaming for financial support.

But the storm itself screams the bigger question that affects us all: climate change.

Meteorologists calling this a ‘once on a lifetime’ storm warn that we could see its like more often. They point out that this arctic blast fits a pattern of weather events once considered rare, but now not so much.

Parts of the United States are, understandably, consumed by the problems at hand.

For cities like Buffalo, getting through the next few days is the priority – mopping up and looking towards a New Year with a fresh eye.

How far it throws a focus onto climate change – the problem and solutions – is an open question.

Funding to fix the damage will improve the outlook here but, in the bigger picture, it smacks of sticking plaster.

Not for the first time.

On Monday, almost 4,000 flights were cancelled, according to the tracking site FlightAware, aggravated by cancellations at Southwest Airlines, where 70% of its flights were not running as scheduled.

Meanwhile, almost 70,000 homes and businesses remained without power.

Jim Dale, senior meteorologist at British Weather Services, told Sky News: “I was going to say this is a once in a lifetime experience. I think we’re probably going to see these kind of events a little bit more than that.

“In this instance, this is all to do with the dislocation of the Arctic polar vortex. So that means basically polar air channelling southwards.

“We saw it coming before it arrived. But the actual transition in terms of going from what you might call a mild situation to an absolute freeze happened in some states within an hour so you went down from from say 10 to 15 degrees down to -20 very quickly.”