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    What Is The Average Global Temperature?
    By Adam Retchless | January 26th 2010 06:46 PM | 11 comments | Print | E-mail | Track Comments
    About Adam

    I get paid to study microbial evolution. These writings are for my non-scientist friends and family (hi guys!) and anyone else who sees any value...

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    I recently encountered the following chart as part of an argument that CO2 does not affect global temperatures. It instantly raised my suspicions because the temperature data is just too clean--I can't believe that global temperatures is almost always one of two values, 12 degrees or 22 degrees, and that there is no noise in the measurements.



    Note that this chart implies that the current temperature is about 12 degrees Celsius.

    I looked into this phenomenon a little more, and came away satisfied that the above cartoon was basically accurate--the dinosaurs lived on a hotter planet than we do, and CO2 is not the main determinant of temperatures over the course of hundreds of millions of years (solar activity has changed a lot, among other things).

    Still, I could swear that I've seen data showing a strong correlation between CO2 and temperature. Turns out that CO2 and temperature do have a strong correlation on the scale of hundreds of thousands of years.


    The data on this chart wouldn't even show up as a blip on the previous chart because the time-scale is too short-- but the temperature swings by 10 degrees over the course of just tens of thousands of years. So what temperature is being displayed in the first chart? Is it the temperature from the ice ages, or the temperature from the modern interglacial period? If 12 degrees refers to the ice ages, then the modern global temperature is ~20 degrees C.

    So what is the current global temperature?

    Notice that this chart refers to a "temperature change", not an absolute temperature. That's annoying. You'll also often see "global temperature anomaly", which is basically the same thing. Nobody wants to say what the temperature is!

    So I look some more, and I find that some wise guys (i.e. mathematicians) claim that there is no such thing as a global temperature! The argument seems sound, but the author goes astray when he claims that this invalidates the entire idea of "global warming". The problem is that he doesn't seem to understand how climatologists are interpreting the temperature data to arrive at conclusions of global warming*. As I pointed out above, they never actually calculate a global temperature. Instead, they use temperature anomalies, for much the same reason that this mathematician argued that there is no absolute global temperature:

    Why use temperature anomalies (departure from average) and not absolute temperature measurements?

    Absolute estimates of global average surface temperature are
    difficult to compile for several reasons. Some regions have few
    temperature measurement stations (e.g., the Sahara Desert) and
    interpolation must be made over large, data-sparse regions. In
    mountainous areas, most observations come from the inhabited valleys,
    so the effect of elevation
    on a region’s average temperature must be considered as well. For
    example, a summer month over an area may be cooler than average, both
    at a mountain top and in a nearby valley, but the absolute temperatures
    will be quite different at the two locations. The use of anomalies in
    this case will show that temperatures for both locations were below
    average.

    Using reference values computed on smaller [more local] scales over
    the same time period establishes a baseline from which anomalies are
    calculated. This effectively normalizes the data so they can be
    compared and combined to more accurately represent temperature patterns
    with respect to what is normal for different places within a region.

    For these reasons, large-area summaries incorporate anomalies, not
    the temperature itself. Anomalies more accurately describe climate
    variability over larger areas than absolute temperatures do, and they
    give a frame of reference that allows more meaningful comparisons
    between locations and more accurate calculations of temperature trends.

    So in the end, my question had no answer. There is no global temperature.

    *the mathematician also grossly misinterpreted one of their cited articles about how global warming is connected to amphibian extinctions (this is the only article I looked into, because I have some familiarity with the topic)

    Comments

    logicman
    Adam:  many of the published averages seem to be built on a few direct measurements and a lot of proxies.  One of very many proxies is sea level change.  Now, if you like your data noisy may I recommend a visit to the University of Colorado web site.
    http://sealevel.colorado.edu/

    As you can see, Colorado University is very conveniently located for sampling sea levels.  :-)

    Source: Google maps.
    AdamRetchless
    thanks for the response. I hadn't realized that ocean levels was one of the proxies for global temperature. At least it has the advantage of summing over the entire planet...though of course it must be subject to its own vagaries.

    I'm fairly new to the details of climate research (only got interested after Climategate).
    logicman
    Adam: thank you so much for posting the question.  After a couple of days deliberation I have come up with some answers.  It is way too much to post as a comment, so I wrote it up as an article: GMST : Discovering Trends
    There is no global temperature; whatever the average is won't melt ice anywhere the temp is below freezing. 100° in Chicago will not melt ice in Antarctica. The Northern hemisphere is having winter while the Southern hemisphere has summer, hence making the average irrelevant.

    AdamRetchless
    The fact that there is variation within a dataset does not negate the value of calculating an average, as long as that average has some meaning in the context of the analysis being performed.

    So you're right that the average global temperature doesn't tell us if there is snow on the ground in Maine, but that isn't why the concept is meaningless.
    Could you please explain how the concept is meaningful, then? It is said the planet is warming, but an "anomaly" of 1° in Antarctica will still not melt the ice there - or anywhere else for that matter (going from -51° to -50° as was reported last year)

    AdamRetchless
    (note: I am assuming that you are the same Anonymous as above)

    Having thought about your argument more, I think that your description of variation around the globe is sufficient to show that the "global mean temperature" is ecologically meaningless. However, I was thinking in terms of a physical meaning.

    In a physical sense, the "global mean temperature" could be the temperature that the Earth would be if it were somehow isolated from the rest of the universe and the temperature were allowed to equilibrate. This value would be meaningful in the context of theories regarding Earth's energy budget. The problem is that this value is impossible to calculate, both because we would need to have very dense monitoring of temperature (for instance, all throughout the oceans and atmosphere, from top to bottom). Second, we would have to know the heat capacity of all of the materials that make up the Earth.

    Anomalies simplify the situation a little bit because there is less variation around the globe (though there is still variation).

    but an "anomaly" of 1° in Antarctica will still not melt the ice there - or anywhere else for that matter
    Any anomaly will have an impact on the hydrologic cycle, regardless of whether the location is typically above or below freezing (for instance, ice can evaporate without melting first). A small change in temperature can have a big impact on the hydrologic cycle in areas that are often near the freezing/melting point.
    There is no logical reason why an average temperature for designated stations
    around the globe shouldn't be reported daily as the basis for monitoring change.
    If departures from "normality" can be computed, so can an average temperature
    for the same set of stations as that used to establish "normality". This business
    is annoying and frustrating.

    Incidentally, the Wall Street Journal, last week, reported an average gobal temperature
    (F), as I recall for the month of April, which the report said was the hottest on record.

    The NOAA surely could compute an average of daily averages for a defined set of
    stations and make it available to the media for publication, along with the local
    weather report; also corresponding averages for defined world climate regions.

    Even on your graph the change in CO2 measure follows that of temperature change, and not the other way around. So, I don't see how anyone can claim that CO2 is the cause of temperature change on this planet. If CO2 causes temperature change then temperature changes should follow CO2 levels (not the case). Its like thinking that the wagon pushes the horse. Clearly the data demonstrates that it is temperature change that causes appreciable changes in the levels of CO2. Unless, of course, you want to play games and twist yourself away from the obvious conclusion to hold to some dogmatic belief in man-made Global Warming. There are huge problems with the man-made Global Warming arguement, but you don't even have to go there. CO2 levels fallow temperature change; therefor, it is NOT CO2 that causes temperature changes (it is more likely the other way around).

    logicman
    some dogmatic belief in man-made Global Warming

    Not dogmatic belief, but rational belief in a preponderance of evidence.

    The preponderance of evidence shows that CO2 levels are currently rising due to fossil fuel use and that the amount of warming to be expected as a consequence is in fact taking place.  In prehistoric times it was often the case that warming would drive CO2 out of the oceans.  However, that extra CO2 then accelerated the warming.

    Atmospheric CO2 causes warming.
    Warming causes an increase in atmospheric CO2.

    Chickens make eggs.
    Eggs make chickens.

    It couldn't be clearer.
    Adam: Rather than appealing to long run graphs of proxy data go for the real thing and have a look at the primary data for CO2 emissions and either atmospheric or ocean temperature or both. Because of the nature of the time series you are dealing with you need to induce stationarity into the data or you run the risk of spurious correlation. So, In order to demonstrate correlation here try regressing year on year changes in temperature against changes in CO2 level. Precise records of temperature and CO2 level have only been available since 1959 but using annual data that is long enough to determine the degree to which changes in CO2 level influence changes in temperature. This is an important experiment because if altering levels of CO2 does not, for example, have any impact upon temperature either in the current year (or with a lagged regression) in future years then attempting to control global temperature by altering emissions is almost certainly doomed to failure. The data is easily available on the web from the NOAA site and a modest statistics package or indeed EXCEL will handle the regression. The experiment can be conducted with contemporaneous data, lagged data or indeed, using emissions data from a sequence of years.

    It's a fun piece of research to do, it doesn't take long, and for most people who do it , it settles the argument about the importance of CO2 in determining changes in global temperature.