Editor’s Note: An interactive feature, highlighting the key findings from this report, can be found here.

Over a billion people worldwide live on less than $1.25 a day. But that number is falling. This has given credence to the idea that extreme poverty can be eliminated in a generation. A new study by Brookings researchers examines the prospects for ending extreme poverty by 2030 and the factors that will determine progress toward this goal. Below are some of the key findings:

1. We are at a unique point in history where there are more people in the world living right around the $1.25 mark than at any other income level. This implies that equitable growth in the developing world will result in more movement of people across the poverty line than across any other level.

2. Sustaining the trend rate of global poverty reduction requires that each year a new set of individuals is primed to cross the international poverty line. This will become increasingly difficult as some of the poorest of the poor struggle to make enough progress to approach the $1.25 threshold over the next twenty years.

3. The period from 1990 to 2030 resembles a relay race in which responsibility for leading the charge on global poverty reduction passes between China, India and sub-Saharan Africa. China has driven progress over the last twenty years, but with its poverty rate now down in the single digits, the baton is being passed to India. India has the capacity to deliver sustained progress on global poverty reduction over the next decade based on modest assumptions of equitable growth. Once India’s poverty is largely exhausted, it will be up to sub-Saharan Africa to run the final relay leg and bring the baton home. This poses a significant challenge as most of Africa’s poor people start a long way behind the poverty line.

4. As global poverty approaches zero, it becomes increasingly concentrated in countries where the record of and prospects for poverty reduction are weakest. Today, a third of the world’s poor live in fragile states but this share could rise to half in 2018 and nearly two-thirds in 2030.

5. The World Bank has recently set a goal to reduce extreme poverty around the world to under 3 percent by 2030. It is unlikely that this goal can be achieved by stronger than expected growth across the developing world, or greater income equality within each developing country, alone. Both factors are needed simultaneously.

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Britain’s Conservative Party just tore itself apart over the EU referendum; David Cameron was forced to resign as prime minister. Yet the party in meltdown is Labour. Polling out this past weekend shows Labour drawing 31%, vs. 37% for Conservatives, if a general election were held tomorrow.

The Conservative Party, showing once again its extraordinary capacity for self-preservation, is closing ranks behind new Prime Minister Theresa May. Still, how can the Tories be riding so high after such a political omnishambles? One doesn’t have to look far for an answer: the hard-left Labour leader, Jeremy Corbyn.

Asked who is or would be the best prime minister, just 16% of British voters give Mr. Corbyn the thumbs-up, compared with 52% for Ms. May. Fewer than half of Labour supporters (48%) think Mr. Corbyn would be the best PM. In her first outing in the House of Commons, Ms. May easily trounced Mr. Corbyn. (Her performance was described by the left-leaning Guardian newspaper as a “brutally brilliant” debut.) No wonder most of his parliamentary colleagues have abandoned him, forcing a leadership contest.

Again, the Conservative Party has just presided over an amateurish, disastrous session of British political history. That Tories still dominate is less about their strength than their political opponents’ weakness.

So: What will happen? I’ve just been in London, and conversations with political insiders suggest that this is the most likely scenario to play out:

First, Jeremy Corbyn, having attracted many left-wingers onto party rolls, fends off challenger Owen Smith to retain the leadership of the Labour Party.

Next, the majority of Labour MPs set themselves up as a separate parliamentary group.

As the second-largest group in parliament, these MPs would become the official opposition. They could call themselves anything–say, New Labour Party. (Read this excellent summary of the constitutional implications by Meg Russell of the University College London). This means money and status. If the anti-Corbyn MPs can’t get a new leader, they’ll get a new party.

In the meantime, a few remaining anti-Corbyn MPs stay behind and try to recapture their party. The key here, for those interested in the details, is to take control of Unite, the U.K.’s largest trade union. (Unite’s leader, Len McCluskey, is a strong supporter of Mr. Corbyn and has rallied the union’s members behind him, but his term ends soon.)

If the Labour Party, reduced to a parliamentary rump, remains in Mr. Corbyn’s hands, the next general election would be the moment when the split becomes formal. The New Labour Party would try to attract Liberal Democrat and Green supporters, as well as pro-European conservatives.

Theresa May is likely to wait until the next scheduled general election, in 2020, to face voters. But if Labour were to split, she might decide to call a snap general election to take advantage of opponents’ disarray. Either way, it seems likely the Tories would win.

Center-left parties across the globe seem to be struggling to connect with the anxieties of ordinary voters, leaving them at the mercy of populist appeals. Between populist surges and volatile electorates, we are seeing destabilizing forces at work in politics. Strong political parties act as stabilizers in stormy waters. Whatever one’s individual politics, the fate of the Labour Party in Britain, and perhaps the Republican Party in the U.S., should concern us all.

Editor's note: This piece originally appeared in The Wall Street Journal.