The goal of the Paris climate agreement is to hold the planet’s temperature rise to “well below” a 2 degrees Celsius (3.6 degrees Fahrenheit) increase above what it was in pre-industrial times. We’ve already seen about a 1 degree Celsius (1.8 degrees Fahrenheit) increase since then.

But the new research just published in the Proceedings of the National Academy of Sciences notes that if we stay on a current, high-emissions pathway and do not achieve the cuts that the Paris agreement seeks to institutionalize, then we could hit 2 degrees Celsius by 2040 or so. For the planet’s sea level, this would mean over a half-foot rise averaged around the globe, in comparison with average sea levels from 1986 to 2005. The sea-level increase, however, would be far worse in certain places, such as the U.S. East Coast, where it could be over a foot.

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And that’s just the beginning. Assuming we still don’t reform our ways, the 40 years after 2040 could then see another sharp 2 degree increase in temperatures — to 4 degrees Celsius — and another dramatic surge in sea level, culminating in a rise of 2 feet averaged across the globe, or more if we’re unlucky. The study finds that by 2100, New York could see a sea level rise of more than 3.5 feet.

“Basically we spent 200 years to warm our planet by 2 degrees, and then we will do it in 40 years time, this shows a completely different scale of what’s going on,” said Svetlana Jevrejeva, the lead author of the study and a researcher at the National Oceanography Centre in the United Kingdom, in describing the scenario presented in the study. Jevrejeva completed the work with researchers at institutions in the U.K., the Netherlands, Denmark, China, and Finland.

The key punchline of the study, then, is that going beyond the Paris barrier of 2 degrees Celsius condemns the world to increasingly dire sea level rise — especially for certain locations.

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The new work goes well beyond an increasingly dated consensus finding of the international scientific community on sea level, which stated that it could increase by nearly 1 meter by the year 2100, under a worst-case scenario version of global warming. More recent research focusing on the instability of Antarctica has nearly doubled that projection.

The new paper is part of a growing wave of research that attempts to get beyond such broad estimates for the whole planet, to try to assess more precisely what kind of sea level rise will strike in different locations across the world. For while a steady rise is expected, it is likely to vary greatly in particular locations, as a result of factors ranging from the circulation of the oceans to the redistribution of mass on the planet.

To this end, the study used a probabilistic approach to examine how sea levels would vary across the world’s coasts under a worst-case warming scenario by the year 2100. The researchers used the results of 33 climate-change models and examined factors ranging from how much ice Greenland and Antarctica could lose to how the global ocean circulation could change.

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Sure enough, global sea-level rise was highly variable. The study noted, for instance, that most coastal locations were prone to experience a worse sea-level rise outcome than the global average. For instance, it found that for the year 2040 on the worst-case emissions pathway, the global average sea-level rise would be 0.2 meters (0.65 feet), but “more than 90 percent of coastal areas will experience sea level rise exceeding the global estimate.”

One key subtext to these findings is that scientists expect the rise in sea levels to accelerate in coming years, beyond the current estimated rate of 3.4 millimeters per year. The melting of Greenland, Antarctica, mountain glaciers around the globe, and the corresponding expansion of the volume of the ocean as it warms, are expected to increase their pace.

The study found that by 2040, the rate of sea-level rise could actually hit 6 millimeters per year. By the end of the century with extreme warming, it could hit 10 millimeters (or 1 centimeter) per year, or even higher.

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“The high end of the unchecked pollution scenario would threaten the homes of hundreds of millions with chronic flooding or permanent submergence​ this century​,” said Ben Strauss, a sea-level rise expert with Climate Central. “This research adds to the evidence that strong cuts in carbon pollution could strongly curtail the danger to global coasts and their cities.​”

As Strauss’s words suggest, this worst-case scenario for global warming, which envisions 2 degrees as early as 2040 and as much as 5 degrees by 2100, is not necessarily the one that will be realized. That still depends on choices made in the present and near future, in Morocco and beyond. If the current Paris climate pledges are achieved, the world might settle closer to 3 degrees of warming by 2100, recent research has suggested. And if they’re tightened further, the world may still settle at 2 degrees C or even somewhat below that.

These changes would certainly help stave off some of the worst-case scenarios for sea-level rise, but researchers have also found that that rise is unlikely to end by the year 2100. It involves a slow discovery of a new equilibrium between the planet’s temperature and its ice and oceans that would play out over hundreds to thousands of years, meaning that we are committed to it for a long time, although the rate and extent of rise will depend on the rate and extent of warming itself.

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“Even if temperature will be constant, sea level will continue to rise for a few hundred years, that’s what we know,” said Jevrejeva.

In some places in the world, the study points to the possibility of a particularly devastating combination — sharp sea-level rise combined with major land subsidence because people are drawing so much drinking water out of the ground. Jakarta, Indonesia’s capital, is actually forecast to subside by over 6 feet just by the year 2025, an effect that would dramatically compound the consequences of the sea level rising all around it.

One outside researcher who was familiar with the work said it seemed to fit our current understanding well. “The numbers look reasonable,” said Rutgers University sea-level rise expert Robert Kopp, who was not involved in the current study. Kopp said other research, for instance examining sea-level risk facing the coast of New Jersey, finds something similar: for instance, a 50 percent chance of a 1.4 foot or greater rise by 2050.