Les Henry’s Article on Temperature Records from the
Swift Current Research Station, which is posted on my blog February 16th drew a
comment from Ravin Onthill regarding the use of Simple Moving Averages (SMA).
My curiosity got the best of me, so I did some reading on SMAs and then on how
temperature norms are calculated and applied to determine Global Climate
Change, which I posted on March 6th. I found the historic Swift
Current data and followed through on my determination to play my own games with
it. (Raven, this is why I haven't had time to follow up on the links you sent me).
The raw monthly mean temperatures were compiled from between
1886 and 2019 (with Jan and Feb 2020 included). No corrections were made to
account for any changes in time of reading, changes of location, changes of
elevation, or changes of equipment. That was left for the experts.
When more than one site is compared, a normal period of e.g.
30 years is used for each one and the differences from normal calculated. As
only one site is looked at here, it is not necessary (and I spend two days
doing it to learn that).
Annual and monthly mean temperatures are charted as
scattergrams with the y-axis coordinates set to include even the widest
outlying observation and the x-axis coordinates set between 1880 and 2020. Mean
and Standard Deviation were calculated for each set of data. About two-thirds
of observations fit within the mean plus or minus one standard deviation, an
estimate of how widely (wildly) the observations vary from the mean.
A 6th order polynomial trend line (I have no idea what
that means) was calculated for each chart as it produced the largest value for
R2 i.e. the best fit. The R2 value was posted to the
chart. R2 is a statistical measure of how close
the data are to the fitted regression line. It is also known as the
coefficient of determination, or the coefficient of multiple determination for
multiple regression. The smaller the R2 the less the trend line
explains variability in the observations. 0% indicates that the model explains
none of the variability of the response data around its mean. The polynomial
trend line is in blue on the charts. A five year SMA, in red on
the charts, was calculated just to bring the scattergram into a more
comprehendible format.
Annual mean temperatures varied from just under 7
ºC to just over 0
ºC, with a mean of 3.7
ºC and standard deviation of ±1.1
ºC. The trendline explains about
13% of the variability of the observations from the mean.
January temperatures varied from about -28
ºC to -3
ºC with a mean of -12.7
ºC and standard deviation of ±5
ºC. The trendline explains about 11% of
the variability of the observations from the mean.
February temperatures varied from -27
ºC to 0
ºC
with a mean of -10.7
ºC and
standard deviation of ±4.8
ºC.
The trendline explains about 11% of the variability of
the observations from the mean.
March temperatures varied from a low of -8
ºC to a high of+8
ºC, with a mean of -4.5
ºC and standard deviation of ±3.9
ºC. The trendline explains 14% of
the variability of the observations from the mean.
April temperatures varied from -2
ºC to +11
ºC
with a mean of 4.7
ºC and
standard deviation of ±2.6
ºC.
The trendline explains about 6% of the monthly mean temperature variability.
May temperatures varied from 6
ºC
to 16
ºC with a mean of 10.9
ºC and standard deviation of ±1.9
ºC. The trendline explains only
3% of the variability of the monthly mean temperatures from the mean.
June temperatures varied from 11.5
ºC to 21
ºC
with a mean of 15.5
ºC and
standard deviation of ±1.7
ºC.
The trendline explains about 11% of the variability of the monthly mean
temperatures from the mean.
July temperatures varied between 15ºC and 24ºC
with a mean of 18.8ºC and
standard deviation of ±1.5ºC.
The trendline explained about 11% of the variability. August temperatures varied between 14.5ºC and 21.5ºC with a mean of 17.8ºC and standard deviation of ±1.7ºC The August trendline is about
as flat as pee on a plate, explaining less than 1% of the variability of
observations around the mean. September temperatures varied between just over 6ºC to just under 18ºC with a mean of 12.1ºC and standard deviation of ±2.0ºC. The trendline explains less
than 5% of the variability.
October temperatures varied from a low of -1
ºC to a high of +11
ºC with a mean of 5.7
ºC and standard deviation of ±2.3
ºC. The trendline only explains
4% of the variability from normal.
November monthly mean temperatures varied from a low of just
under -15
ºC to a high of +5
ºC with a mean of -3.4
ºC and standard deviation of ±3.6
ºC. The trendline explains only
3% of the variability.
December monthly mean temperatures varied from a low of -21
ºC to a high of -2
ºC with a mean of -9.4
ºC and standard deviation of ±3.8
ºC. However, the trendline was
essentially flat, explaining only 2% of the variability.
|
Table of Means, Standard Deviations and R2 |
Making the best of a bad situation, the annual and five of
the months had R
2 of over 10%, so the trend lines might mean
something. The Annual trend seems to be cooling from about 2010. The January
trend is warming from 1980, while the February trend is cooling from sometime
after 2000. March seems to have been warming up since about 1970. June monthly
mean temps took a sharp rise in the 2010s while July has been pretty much
normal since 1960, slightly cooler around 1980, slightly warmer around 2010 and
showing a small amount of cooling in the last few years.
Seven months had R2 of less than 6%, meaning
essentially the trendlines accounted for almost none of the variability of the
monthly mean temps from the average. April and May and August through December,
with R2 less than 6%, could be said to show no significant variance from the
mean. In other words, no trend to warmer or colder than the mean other
than normal year to year variations. April appears to be cooling slightly from
about 1990 and May appears to be warming slightly from 2010. August appears to
be cooling slightly from 2000; September warmed from 1980 to 2010 then cooled;
October has been cooler than normal since 1970 and really cooled off after
2010. November shows no change since about 1950, while December shows no change
since 1930.
One thing did stand out for me and that is the cyclical
nature of the trendlines, especially on the Annual chart where they appear to
be about 60 to 70 years in length. I have read research articles, I think from
an Alaskan University professor, which of course I cannot find when I need
them, that talked about 30-year and 60-year cycles superimposed on the longer
term.
If you are looking for 95% confidence levels, don’t go into
the weather/climate business.
It may surprise many people that science --
the de facto source of dependable knowledge about the natural world
-- cannot deliver an unqualified, unanimous answer about something as important
as climate change. NASA.
Annual and monthly mean temperatures
over the past 135 years went up and down like a toilet seat at a keg party. A
normal year is how it usetawas or next year.
This was fun but please don’t bet the farm on it one way or
another. Anyone who thinks climatology is simple, is just kidding themselves.
I’m smarter than I was – I won’t do this again. This was a week's worth of
number crunching.