Local elections - as it happened: Corbyn insists Labour ‘ready for an election', despite missing top London targets

Here is the projected national vote share from the local elections, according to the BBC. 

Unite has confirmed that a complaint that Len McCluskey breached the rules when re-elected as general secretary election has been rejected.

The ruling, by assistant certification officer Jeffrey Burke QC, rejected a complaint by Gerard Coyne and found that Unite had acted in accordance with its rules when calling last year’s election.

A spokesperson for the union said: “Unite welcomes the assistant certification officer’s rejection of Mr Coyne’s complaint and his ruling that the union acted in accordance with its rules in calling a general secretary election. 

“It should be noted that when the general secretary election was called no complaints or objections were made by Mr Coyne or any other individuals. 

“Unite presumes that Mr Coyne will accept the judgement and looks forward to the election being fully upheld following June’s hearing, allowing the union to focus unhindered on the job of representing its members.” 

The Lib Dems have taken control of South Cambridgeshire, in a surprising gain from the Tories.

Chuka Umunna has called for a probe into Labour's local election campaign, warning that the results cannot leave it confident of success at the next national poll.

Mr Umunna said the advances which could be expected at this stage in the electoral cycle under a "divided and incompetent" Government had failed to materialise.

He told BBC Radio 4's World at One that "the whole Labour leadership" had to address the failure to capitalise on Government divisions, faltering Brexit negotiations and voter concern over the economy and public services.

He said: "From a Labour point of view there needs to be a proper post-mortem - I think the National Executive Committee should appoint somebody to do that - on this result.

"We haven't gone forwards and if we are looking to form an election-winning majority, we cannot be confident of that happening based on the results yesterday."

Here is the BBC estimate on what the House of Commons would look like based on the voting patterns of the local election.

It estimates a hung parliament but gives Labour three more seats than the Tories.

Labour MP Dan Jarvis has been elected as mayor of Sheffield City region.

The Barnsley Central MP, once tipped for the party leadership, will be the first mayor of the South Yorkshire area.

There is some speculation that Labour MP Heidi Alexander will announce plans to stand down after her council (Lewisham) declares later. 

The former frontbencher has been vocal over her displeasure at Labour's Brexit strategy, leading the campaign to urge Jeremy Corbyn to back staying in the single market.

Dan Jarvis defended his decision to stand to be Sheffield City Region mayor while remaining as an MP.

In his victory speech, the Barnsley Central MP said: "I have always believed in the value of public service so when it was decided that this election was going to take place it was a desire to serve that motivated me to put myself forward.

"I understood then that the exceptional nature of my candidacy would raise some eyebrows and it has.

"But I believed then, as I know now, that the exceptional circumstances of this mayoralty and the importance of devolution for the future of the UK meant that I couldn't stand on the sidelines and that I had to step forward."

From earlier today:

Labour have retained control of Hackney after winning 29 of the available 57 seats.