web analytics


We have just had a spell of very snowy weather in the UK and this has brought back memories of the 2010-11 winter:

We have not had such a winter (at least in most of the UK) in the seven years interval between 2010-11 and 2017-18. Six years without snow, followed by a winter with a lot of snow…

Those of us who read and enjoyed The Long Winter by Laura Ingalls Wilder remember the scene in chapter 7 when Mr Harthorn’s store is visited by an old Indian:

“You white men,” he said. “I tell-um you.”

He showed seven fingers again. “Big snow.” again, seven fingers. “Big snow.” Again seven fingers. “Heap big snow, many moons.”


The Indian meant that every seventh winter was a hard winter and at the end of three times seven years came the hardest winter of all. He had come to tell the white men that this coming winter was a twenty-first winter, that there would be seven months of blizzards

Indeed, Laura Ingalls Wilder described in her book the famous 1880-1881 winter which is considered the most severe winter in the United States ever. So, given that in recent years we in the UK had six years without much snow followed by a snowy and cold winter, is there any evidence for the seven years cycle?

Unfortunately, this does not appear to be the case. The MetOffice provides a wealth of historic records, for example, air temperature, air frost and rainfall data for a number of weather stations in the UK. Choosing Braemar in the Cairngorms in the heart of Scottish Highlands, we get the following graphs for the minimum yearly temperature:

and for the maximum number of air frost days (not necessarily consecutive):

Note that 2017-18 winter is really not included, as the data include December 2017 but exclude January 2018. Green lines show the 7 years interval. In addition, the red lines show very snowy winters in the UK following the Snowfall catalogue by Bonacina and O’Hara. More about blue lines below.

It is very clear that although 2010-11 winter had some snow and cold weather, it is 2009-10 winter that stands out. Moving back 7 years, 2002-03 and 2003-04 were quite mild and we need to go back to 1984-85, 1978-79 and 1962-63 to get similar temperature and frost records and snowfall. As shown by blue lines in the plots above, this might suggest a 16 years cycle. This cycle would include 2000-01 winter that was actually quite cold, although only with the average snowfall in the UK; it also points to 2010-11 rather than 2009-10 and predicts 2026-27 as the next ‘big snow’.

A statistician would point to many problems with the above analysis, as it reflects our ability – and probably a need – to find patterns in random data.

Instead, we should be looking for more scientific explanations. There are many hypotheses why 2009-10 was such a cold winter and whether this reflected any cycles. Solar activity (22 years), the North Atlantic Oscillations (no fixed pattern, but 12 years cycles suggested). It is too early to say whether 2017-18 will also prove a really cold winter and why it has so far produced a lot of snowfall in the UK.

In addition to trying to satisfy our scientific interests, we can always simply enjoy the cold and snowy weather:

Statistically (in)significant: New Year’s resolutions.

It is one of my New Year’s resolutions to be more active in the internet domain, so here is a part of the package. This blog will be about statistics, its use and abuse; about mathematics, particularly mathematical biology (which is what I mostly work on); and about life as related to mathematics and statistics.

Independent reported recently that “Dr John Norcross, psychology professor at the University of Scranton, Pennsylvania, claims that many of us will successfully achieve our resolutions if we set them properly.” even though Forbes says that only 8% of New Year resolutions are achieved. I hope to be in the 8%…

In the meantime, best wishes for the New Year 2018 – with a picture of Ochil Hills (Scotland)!