The older the voter, the more pro-brexit (and older voters had greater turnout):
http://ichef-1.bbci.co.uk/news/624/cpsprodpb/15372/production/_90089868_eu_ref_uk_regions_leave_remain_gra624_by_age.png
Also: the less-educated the voter, the more pro-brexit...
"Voters with university degrees overwhelmingly backed remain."
http://www.theguardian.com/politics/2016/jun/24/young-remain-voters-came-out-in-force-but-were-outgunned
http://www.theguardian.com/politics/ng-interactive/2016/jun/23/eu-referendum-live-results-and-analysis
"Some 58% of people in professional and higher management jobs wanted
to remain compared with only 27% of people in unskilled jobs. Not
surprisingly, high-status individuals with marketable skills favour UK
membership of the EU, whereas people who lack these skills and are
vulnerable in the labour market are opposed."
http://www.independent.co.uk/news/uk/politics/brexit-why-did-old-people-vote-leave-young-voters-remain-eu-referendum-a7103996.html
Here is a quote from the Independent's piece (written by political
science professors...)
that seems to support my hypothesis:
"Voters mix up domestic politics with those of the European Union. The
relative unpopularity of national governments led to the rejection of
the Maastricht Treaty in Denmark and the near-rejection of it in
France. This contrasted with the vote in Ireland, which had a much
more popular government at the time, and where the referendum passed
easily.
It seems attitudes to EU integration are closely tied to domestic
issues. So the austerity pursued by the British government after the
2010 general election has implications for the referendum vote.
Since 2010 the government has systematically reduced funding for
deprived areas of Britain. It is a safe bet that when the government
started cutting the budgets for deprived communities in the North of
England, it did not realise the decision would come back to bite them
in the form of a large vote to leave the European Union."
Another piece in the Independent contains this quote:
"new research by the labour market economists Brian Bell and Stephen
Machin, seen by The Independent, suggests the Leave vote tended to be
bigger in areas of the country where wage growth has been weakest
since 1997. This would seem to support the popular theory that this
was essentially a giant protest vote against the political class by
people who feel economically 'left behind' in modern Britain."
...well... "protest votes" don't really make sense...
So... I'll say my theory about brexit is "unproven, but plausible."