The Lib Dems are now in danger of excessive optimism

Even on a generous reading, the party is still on course to lose nearly half of its 57 seats.

They're trailing UKIP in the polls and rarely score above 10 points. They've lost a third of their members since 2010 (down from 65,038 to 42,501) and more than a thousand of their hard-won councillors. They ran a deficit of £410,951 last year and are struggling to raise the funds required to fight an adequate general election campaign. So why, ahead of the opening of their conference in Glasgow tomorrow, are the Lib Dems so cheerful?

The first reason is that the next election appears increasingly likely to result in another hung parliament. While the party could yet face a wounding left-right split if forced to choose between the Tories and Labour (both of whom could conceivably win enough seats to form a majority government with Lib Dem support), the thought of again holding the balance of power and negotiating concessions (proportional representation for local government!) is an intoxicating one.

The second is that the party believes both that a significant number of its 2010 supporters will return to the fold before 2015 and that it is performing better than the headline figures suggest. Were the results of the latest YouGov poll (which has them on 8 per cent) replicated on a uniform swing, the Lib Dems would retain just 17 of their 57 seats. But as the party's activists rejoice in pointing out, their vote is holding up, and even improving, in their heartlands. The Eastleigh by-election, which the party won comfortably in the most adverse circumstances (recall the misdemeanours of the two Chris's: Huhne and Rennard), is offered as ultimate proof that they are not heading for electoral apocalypse. Where the party is well organised and where it can appeal for tactical votes from Labour supporters (the Tories are in second place in 37 of the 57 Lib Dem seats), it can still win. It is this faith that explains why those calling for Nick Clegg's head are still limited to maverick non-MPs such as Lembit Opik and Lord Oakeshott. 

But if they were once suffering from an excess of pessimism, many Lib Dems now appear overly optimistic. Even if their vote share rises to 15% before 2015, the laws of arithmetic mean they cannot expect to win many more than 30 seats. The party's intention to fight the next election as "57 Eastleighs" ignores the fact that this simply isn't possible. While the Lib Dems were able to pour thousands of activists and cabinet ministers into the constituency, they won't be able to do so when fighting on 56 other fronts at the same time. After decades of advancement, the party is still on course for its worst performance since 1992, losing around half of its seats. If it isn't dreading the evening of 7 May 2015, it really should be. 

Nick Clegg leaves Number 10 Downing Street to attend Prime Minister's Questions. Photograph: Getty Images.

George Eaton is political editor of the New Statesman.

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Live blog: Jeremy Corbyn hit by shadow cabinet revolt

Three shadow cabinet members resign following the sacking of Hilary Benn. 

11:47 The hope among Labour MPs is that Corbyn will "do the decent thing" and resign if (or rather when) he loses the confidence vote due on Tuesday. They are convinced they will win a majority but believe that reports of "80 per cent support" are wide of the mark. 

11:40 Labour's only Scottish MP, Ian Murray, has just resigned as shadow Scotland secretary. As I noted earlier, this means the job will have to be done by a non-Scottish MP or a peer. 

11:21 Shadow Scotland secretary Ian Murray (see 09:11) and shadow transport secretary Lillian Greenwood are expected to be the next to resign. 

11:11 Shadow minister for young people Gloria De Piero has become the latest to resign. It's worth noting that De Piero is a close ally of Tom Watson (she's married to his aide James Robinson). Many will see this as a sign that the coup has the tacit approval of Watson (who is currently en route from Glastonbury). 

De Piero wrote in her resignation letter to Corbyn: "I have always enjoyed a warm personal relationship with you and I want to thank you for the opportunity to serve in your shadow cabinet. I accepted that invitation because I thought it was right to support you in your attempt to achieve the Labour victory the country so badly needs.

"I do not believe you can deliver that victory at a general election, which may take place in a matter of months. I have been contacted by many of my members this weekend and It is clear that a good number of them share that view and have lost faith in your leadership.”

10:58 Shadow defence secretary Emily Thornberry has backed Corbyn, telling Michael Crick that "of course" she has confidence in his leadership. She is the fourth shadow cabinet minister to back Corbyn (along with McDonnell, Abbott and Trickett). 

10:52 Our Staggers editor Julia Rampen has written up Benn and McDonnell's TV appearances. 

"Two different visions for the Labour Party's future clashed today on primetime TV. Hours after being sacked from the shadow cabinet, Corbyn critic Hilary Benn was on the Andrew Marr Show ruling himself out of a leadership challenge. However, he issued a not-so-coded cry for revolt as he urged others to "do the right thing" for the party. Moments later, shadowhancellor John McDonnell sought to quell rumours of a coup by telling Andrew Neil Jeremy was "not going anywhere". He reminded any shadow ministers watching of the grassroots support Labour has enjoyed under Corbyn and the public petition urging them to back their leader."

10:46 Asked to comment, Tony Blair told the BBC: "I think this is for the PLP. I don't think it's right for me or helpful to intervene." 

10:38 On the leadership, it's worth noting that while Corbyn would need 50 MP/MEP nominations to make the ballot (were he not on automatically), an alternative left-wing candidate would only need 37 (15 per cent of the total). 

10:27 Jon Trickett, one of just three shadow cabinet Corbynites, has tweeted: "200,000 people already signed the petition in solidarity with the leadership. I stand with our party membership." 

10:14 McDonnell has told the BBC's Andrew Neil: "I will never stand for the leadership of the Labour Party". He confirmed that this would remain the case if Corbyn resigned. McDonnell, who stood unsuccessfully for the Labour leadership in 2007 and 2010 (failing to make the ballot), added that if Corbyn was forced to fitght another election he would "chair his campaign".  

10:12 Tom Watson is returning from Glastonbury to London. He's been spotted at Castle Cary train station. 

10:07 A spokesman for John McDonnell has told me that it's "not true" that Seema Malhotra, the shadow chief secretary to the Treasury, is canvassing MPs on his behalf. Labour figures have long believed that the shadow chancellor and former Labour leadership contender has ambitions to succeed Corbyn. 

09:51 Appearing on the Marr Show, Hilary Benn has just announced that he will not stand for the Labour leadership. "I am not going to be a candidate for leader of the Labour Party." Tom Watson, Angela Eagle and Dan Jarvis are those most commonly cited by Corbyn's opponents as alternative leaders. 

09:46 Should Corbyn refuse to resign, Labour MPs are considering electing an independent PLP leader, an option first floated by Joe Haines, Harold Wilson's former press secretary, in the New Statesman. He argued that as the representatives of the party's 9.35 million voters, their mandate trumped Corbyn's.

09:38 Here's Stephen on the issue of whether Corbyn could form a shadow cabinet after the revolt. "A lot of chatter about whether Corbyn could replace 10 of his shadow cabinet. He couldn't, but a real question of whether he'd need to. Could get by with a frontbench of 18 to 20. There's no particular need to man-mark the government - Corbyn has already created a series of jobs without shadows, like Gloria De Piero's shadow minister for young people and voter registration. That might, in many ways, be more stable." 

09:32 Despite the revolt, there is no sign of Corbyn backing down. A spokesman said: "There will be no resignation from the elected leader of the party with a strong mandate".

09:11 Shadow Scotland secretary Ian Murray is one of those expected to resign. As Labour's only Scottish MP, the post would have to be filled by an MP south of the border or a peer. 

09:01 Diane Abbott, Corbyn's long-standing ally, has been promised the post of shadow foreign secretary, a Labour source has told me. 

The shadow international developmnent secretary is one of just three Corbyn supporters in the shadow cabinet (along with John McDonnell and Jon Trickett). Though 36 MPs nominated him for the leadership, only 14 current members went on to vote for him. It is this that explains why Corbyn is fighting the rebellion. He never had his MPs' support to begin with and is confident he retains the support of party activists (as all polls have suggested). 

But the weakness of his standing among the PLP means some hope he could yet be kept off the ballot in any new contest. Under Labour's rules, 50 MP/MEP nominations (20 per cent of the total) are required. 

08:52 Welsh First Minister Carwyn Jones has joined the revolt, telling BBC Radio Wales that events make it "very difficult" for Corbyn to lead Labour into the next election. 

08:50 Tom Watson, a pivotal figure who Labour MPs have long believed could determine the success of any coup attempt is currently at Glastonbury. 

08:26 Following Hilary Benn's 1am sacking, Jeremy Corbyn will face shadow cabinet resignations this morning. Shadow health secretary Heidi Alexander has become the first to depart.

The New Statesman will cover all the latest developments here. John McDonnell, Corbyn's closest ally, is appearing on The Andrew Marr Show at 9:45.

"This is the trigger. Jeremy's called our bluff," a shadow cabinet minister told me. He added that he expected to joined by a "significant number" of colleagues. The BBC's Laura Kuenssberg has reported that half of the 30 will resign this morning. 

Corbyn is set to face a vote of no confidence from Labour MPs on Tuesday followed by a leadership challenge. But his allies say he will not resign and are confident that he will make the ballot either automatically (as legal advice has suggested) or by winning the requisite 50 MP/MEP nominations. 

George Eaton is political editor of the New Statesman.