Child benefit withdrawal will make it better to work less for families with over seven children

And come 2076, that will be the case for every family in the nation.

The child tax credit withdrawal, taking effect on Monday, will lead to marginal tax rates of over 100 per cent on families with more than eight children earning between £50,000 and £60,000.

The IFS explains how the marginal rates are calculated:

Affected taxpayers will pay back one per cent of their family’s Child Benefit for every £100 by which taxable income exceeds £50,000. One per cent of Child Benefit is £10.56 per year for a 1-child family, and an additional £6.97 per child for larger families. Hence the marginal tax rate between £50,000 and £60,000 is increased by about 11 percentage points for the first child and by an additional 7 percentage points for each subsequent one. So, for example, while about 320,000 people will find that their marginal income tax rate increases to more than 50%, about 40,000 of them - those with three or more children - will find that it jumps to at least 65%.

They offer a chart with the rate calculated up to four children:

By seven children, the marginal rate rises to 99.35 per cent, and by eight, it breaks 100 per cent (106.32 per cent, to be exact). This means that any individual with a family of eight kids earning between £50,000 and £60,000 would be better off if they reduced their salary back down to £50,000. In fact, for that individual, they would have to earn £61,105 before their post-tax income was the same as it was at £50,000.

It's unclear whether any families actually exist matching that criterion - rather wonderfully, my back-of-the-envelope maths (which assumes that the exponential decrease in the number of families of each size continues: e.g., there are 1/8th the number of families with three or more kids as there are with two or more, so I'm assuming that there are correspondingly 1/8th the number of families with four or more as there are with three or more, and so on) suggests that there may be exactly one – but even if there are none at the moment, there's no reason why there won't be one in the future. Families with eight children do, after all, exist.

In fact, as time goes on, this problem will get worse. The IFS points out that child benefit is uprated with inflation, while tax bands aren't. Currently, each extra child after the first increases your "marginal tax rate" by around seven per cent, but suppose child benefit is uprated by two per cent a year. In that case, the marginal tax would exceed one hundred per cent for families with seven children next year; for six children in the year 2020; for five children in the year 2028; and, eventually, for families with just one child – i.e., every family – in the year 2076.

Hopefully the law will be changed before then, of course. But as a rule of thumb, laws which become ridiculously damaging unless you actively intervene ought not be signed in the first place. Oops.

Children. Photograph: Getty Images

Alex Hern is a technology reporter for the Guardian. He was formerly staff writer at the New Statesman. You should follow Alex on Twitter.

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Winning Scottish independence will be even harder than before - but it may be the only choice

Independence campaigners will have to find answers on borders, currency and more. 

The Brexit mutiny has taken not just the UK economy and its relationship with Europe into uncharted waters. it has also imperilled the union between Scotland and England. From Sir John Major to the First Minister, both Unionists and Nationalists had warned of it. The outcome, though, has made this certain. The Leave vote in England and Wales contrasted with an overwhelming Remain vote north of the border.

That every region in Scotland voted to stay In was quite remarkable. Historically, fishing and industrial communities have blamed the European Union for their woes. That antagonism was probably reflected in lower turnout - an abstention rather than a rejection. 

The talk now is of a second referendum on independence. This is understandable given the current mood. Opinion polls in the Sunday Times and Sunday Post showed a Yes vote now at 52 per cent and 59 per cent respectively. Moreover, anecdotal evidence suggests even arch No vote campaigners, from JK Rowling to the Daily Record, are considering the option.

The First Minister was therefore correct to say that a second referendum is now “back on the table”. Her core supporters expects no less. However, as with the economy and Europe, the constitutional relationship between Scotland and England is now in uncharted seas. Potential support for independence may be higher, but the challenges are arguably bigger than before. The difficulties are practical, political and geographic.

Of course the Little Englanders likely to take the helm may choose a velvet divorce. However, given their desire for the return of the Glories of Britannia that’s improbable. They’re as likely to wish to see Caledonia depart, as cede Gibraltar to Spain, even though that territory voted even more overwhelmingly In.

Ticking the legal boxes

Practically, there’s the obstacle of obtaining a legal and binding referendum. The past vote was based on the Edinburgh Agreement and legislation in Westminster and Holyrood. The First Minister has indicated the democratic arguments of the rights of the Scots. However, that’s unlikely to hold much sway. A right-wing centralist Spanish government has been willing to face down demands for autonomy in Catalonia. Would the newly-emboldened Great Britain be any different?

There are no doubt ways in which democratic public support can be sought. The Scottish Government may win backing in Holyrood from the Greens. However, consent for such action would need to be obtained from the Presiding Officer and the Lord Advocate, both of whom have a key role in legislation. These office holders have changed since the first referendum, where they were both more sympathetic and the legal basis clearer. 

Getting the EU on side

The political hurdles are, also, greater this time than before. Previously the arguments were over how and when Scotland could join the EU, although all accepted ultimately she could remain or become a member. This time the demand is that Scotland should remain and the rest of the UK can depart. But will that be possible? The political earthquake that erupted south of the Border has set tectonic plates shifting, not just in the British isles but across the European continent. The fear that a Brexit would empower dark forces in the EU may come to pass. Will the EU that the UK is about to leave be there for an independent Scotland to join? We cannot know, whatever European Commission President Jean-Claude Juncker may be saying at the moment. The First Minister is right to start engaging with Europe directly. But events such as elections in France and the Netherlands are outwith her control. 

Moreover, currency was the Achilles heel in the last referendum, and hasn’t yet been addressed. George Osborne was adamant in his rejection of a currency union. The options this time round, whether a separate Scottish currency or joining the euro, have yet to be properly explored. A worsened financial situation in the 27 remaining EU members hampers the latter and the former remains politically problematic. 

The problem of borders

Geography is also an obstacle  that will be even harder to address now than before. Scotland can change its constitution, but it cannot alter its location on a shared island. In 2014, the independence argument was simply about changing the political union. Other unions, whether monarchy or social, would remain untouched. The island would remain seamless, without border posts. An independent Scotland, whether in or out of the EU, would almost certainly have to face these issues. That is a significant change from before, and the effect on public opinion unknown.

The risk that's worth it

Ultimately, the bar for a Yes vote may be higher, but the Scots may still be prepared to jump it. As with Ireland in 1920, facing any risk may be better than remaining in the British realm. Boris Johnson as Prime Minister would certainly encourage that. 

David Cameron's lack of sensitivity after the independence referendum fuelled the Scottish National Party surge. But perhaps this time, the new Government will be magnanimous towards Scotland and move to federalism. The Nordic Union offers an example to be explored. Left-wing commentators have called for a progressive alliance to remove the Tories and offer a multi-option referendum on Scotland’s constitution. But that is dependent on SNP and Labour being prepared to work together, and win the debate in England and Wales.

So, Indy Ref The Sequel is on the table. It won’t be the same as the first, and it will be more challenging. But, if there is no plausible alternative, Scots may consider it the only option.

Kenny MacAskill served as a Scottish National MSP between 2007 and 2016, and as Cabinet Secretary for Justice between 2007 and 2014.