Most polls are tricky due to the nature of the wording - I don't think it's a coincidence that there's been a shift since the Chequers agreement was annouced. This could easily been interpreted as being against Brexit on those terms rather than a vote in favour of the European Union.
Fundamentally, over the past 30 years the majority of the polls regarding the EU have been neck in neck and that's a trend repeated at various points in a few other European countries, including France, Italy and Greece. Ironically there was a brief period before the EU referendum when support for remain was high in the UK- which is probably one of the factors that prompted Cameron to feel it was a safe bet to hold the referendum. Those hoping for the significant majority (70%) to change their minds would be going against that trend and lead to further disappointment.
I also have a huge amount of annoyance over the stock piling of food and blood stories - mainly because the avoidance of widespread chaos will inevitably be held up as a 'success' (just like those who forecast a recession) rather than the longer term, less apparent damage that's likely to result from this.