Taylor Swift's record label rejects Spotify figures

In fact, Swift earned $496,044 (£317,000) in the past 12 months for streams of her songs in the US, Big Machine CEO Scott Borchetta said.

Borchetta told Time magazine his label had made more from video streaming site Vevo than from Spotify.

Spotify hit back, saying Swift's global earnings were closer to $2m (£1.2m).

"The more we grow, the more we pay artists, and we're growing like crazy," Spotify's global head of communications Jonathan Prince said.

The argument between Swift and Spotify has escalated since she pulled her back catalogue from the service, just as her new album 1989 hit the charts.

"I'm not willing to contribute my life's work to an experiment that I don't feel fairly compensates the writers, producers, artists, and creators of this music," she told Yahoo Music.

"I just don't agree with perpetuating the perception that music has no value and should be free."

On Tuesday, Spotify's chief executive defended its business model, saying it had paid $2bn (£1.2bn) to the music industry to date.

"Taylor Swift is absolutely right: music is art, art has real value, and artists deserve to be paid for it," Ek wrote in a blog.

He argued that Spotify protected artists against illegal downloading, writing: "Piracy doesn't pay artists a penny - nothing, zilch, zero.

"And sure enough, if you looked at the top spot on the Pirate Bay last week, there was 1989."

'Better off'

He added: "At our current size, payouts for a top artist like Taylor Swift (before she pulled her catalogue) are on track to exceed $6m a year, and that's only growing - we expect that number to double again in a year."

But Borchetta refuted those figures, saying the decision to remove Swift's music from the service was making a larger point.

"The facts show that the music industry was much better off before Spotify hit these shores," he told Time.

"Don't forget this is for the most successful artist in music today. What about the rest of the artists out there struggling to make a career? Over the last year, what Spotify has paid is the equivalent of less than 50,000 albums sold."

Swift's decision may be partly responsible for her stellar record sales in the US, where 1989 has been number one for the last two weeks, shifting 1.68 million copies.

The record's first-week sales of 1.28 million were the highest for a single week since 2002, when Eminem's The Eminem Show sold 1.32 million.

Swift also became the only act to have three albums to have sold more than a million copies in a single week, after Red in 2012 (1.21 million) and Speak Now in 2010 (1.05 million).

The album also went to number one in the UK, selling 90,000 copies.

The pop star is not the first artist to tussle with Spotify. Last year, Thom Yorke removed his solo recordings from the service in protest at its payouts.

But the altercation with Swift comes at a sensitive time for the Swedish company, with Google having just unveiled a rival YouTube subscription service that allows users to stream ad-free music videos and download them for offline use.