High up on a melting Greenland glacier, at the end of this summer from climate hell, two young women shout a poem above the roar of the wind. Aka Niviana, grew up on the northern coast of Greenland; as its ice inexorably thaws, her traditional way of life disappears. And the water that melts off that ice sheet is drowning the home of Kathy Jetnil-Kijiner and everyone else in her home nation, the Marshall Islands of the Pacific. One poet watches her heritage turn to water; the other watches that same water sweep up the beaches of her country and into the houses of her friends. The destruction of one’s homeland is the inevitable destruction of the other’s.

I’ve spent 30 years thinking about climate change – talking with scientists, economists and politicians about emission rates and carbon taxes and treaties. But the hardest idea to get across is also the simplest: we live on a planet, and that planet is breaking. Poets, it turns out, can deliver that message.

But they don’t watch impassively. Both are climate activists, and both have raised their voices in service of their homelands. Jetnil-Kijiner, 30, has been at it for years – she’s performed her work before the United Nations General Assembly and the Vatican. Niviana is newer to activism – just 23, she recited a poem at a recent Copenhagen climate protest, where she met a well-known glaciologist, Jason Box, and he, in turn, organised the complicated logistics of this glacier expedition.

We’ve come with a video crew to the remote fjords of southern Greenland. After two days travelling by boat, we’ve unloaded our gear on the rocks at the foot of the rapidly dwindling glacier, and hauled it up to a base camp nestled on red granite bedrock next to a cascade fed by thundering meltwater. Now, in a cold wind next to a gaping crevasse, the two women are performing the words they’ve spent weeks writing.

Jason Box says there’s no doubt they’re both correct: all told, Greenland has enough water frozen on its rocky mantle to raise the sea by seven metres. After 25 years of field work on the great ice sheet, he understands its significance like few others: right now, there’s no place on earth contributing more to the rise of the oceans. Eventually the even-vaster Antarctic will produce more water, but for now the Arctic is melting much faster (while we were camped on the glacier news reports said that sea ice north of the island – “the oldest, solidest ice in the Arctic” – had melted in this year’s freakish heat).

“We called this ‘Eagle Glacier’ because of its shape when we first came here five years ago,” Box said, “but now the head and the wings of the bird have melted away. I don’t know what we should call it now, but the eagle is dead.”

It’s not, of course, as if global warming is some mysterious, uncontrollable force: it comes from a particular way of life, a way of life which has left some people rich and an increasing number in desperate straits. These poets can’t avoid the politics: their stanzas indict the civilisations which – long before we worried about climate change – blew up Bikini Atoll in the Marshalls and polluted Greenland’s ice sheet with nuclear waste.

Hearing the roll call of giant cities in the poem seems odd at first, on this remote glacier thousands of miles from the nearest traffic jam. But that’s the point. There is no distance any more: the isolation that once protected places like Greenland or Micronesia no longer offers any buffer. The carbon that the rich pour into the air traps heat in the atmosphere we all share. That heat comes north and south, where it melts the world’s great storehouses of ice; in turn the oceans that lap at every continent rise. Kathy Jetnil-Kijiner literally stands with two feet planted on the ice that will submerge her country.

This science is uncontroversial. But science alone can’t make change, because it appeals only to the hemisphere of the brain that values logic and reason. We’re also creatures of emotion, intuition, spark – which is perhaps why we should mount more poetry expeditions, put more musicians on dying reefs, make sure that novelists can feel the licking heat of wildfire.