From: Telmo Menezes <te...@telmomenezes.com>
 To: "everything-list@googlegroups.com" <everything-list@googlegroups.com> 
 Sent: Tuesday, May 12, 2015 12:22 PM
 Subject: Re: Michael Shermer becomes sceptical about scepticism!
   



 
  With climate change and cures for cancer you need statistics, because there 
are no such laws in these fields. There is no equation where you can plug-in a 
CO2 concentration and get a correct prediction on global temperature change.    
 
 There's a law where you can plug in atmospheric composition and solar radiance 
and get a correct prediction of the equilibrium temperature.  That's what 
Arrhenius did in 1890.  It's precisely because we do have equations for the 
energy balance of the Earth and how CO2 affects it, that anthropic global 
warming is as solid a fact as evolution and nuclear fission.  If it were *just* 
observations there might be room for doubt as to why temperature has gone up.  
But the mechanism is well known and has been for a century.

>>How can we know that the greenhouse effect is the only thing to consider when 
>>dealing with something as complex as the earth and its biosphere? Ok, CO2 in 
>>the atmosphere reflects back some percentage of the infrared radiation which 
>>leads to more solar energy being trapped in the system. 
One key thing to understand about the physical properties of CO2 dipolar gas 
molecule is that it absorbs/re-emits  IR frequencies(i.e. is opaque) in an IR 
frequency range that water vapor (e.g. H2O) -- which is the most significant 
global warming gas there is overall is transparent in. This is critically 
important in understanding why CO2 gas has such an impact on climate. It is 
because it closes (partially closes of course) a critical window of 
transparency, that exists in the H2O infrared frequency absorption profile 
through which infrared energy -- of that frequency range -- could otherwise 
escape out from the atmosphere to be re-radiated out into outer space.CO2 does 
not act alone, its effects are very much a result of its partially closing off 
this infrared frequency transparency hole or window through which large amounts 
of infrared energy would have been able to be directly radiated out into the 
cold sink of outer space.-Chris 
But what about the clouds? And the vegetation? Don't these things have a role 
in infraread blocking and sun light refraction/absorption? And many other 
things we might not be thinking about... My point is: who's to say that there 
isn't some negative feedback loop that keeps the temperature stable? It's not 
such a silly hypothesis if you think in terms of self-sampling. The Earth must 
be stable enough to maintain the conditions for uninterrupted biological 
evolution for almost 4 billion years. 

 
 
 
      
  
      
   But if you'd like to actually formulate the alternative hypothesis I might 
do the analysis.
  
 
  Ok. My alternative hypothesis is that there is no trend of global temperature 
increase in the period from 1998 to 2010 (as  per Liz's chart's timeframe), 
when compared to temperature fluctuations in the 20th century (as defined by 
the metric in the chart).    
 
 OK.  Here's one way to do it. The ten warmest years in the century from 1910 
to 2010 all occurred in the interval 1998 to 2010, the last 13yrs of the  
century.  Under the null hypothesis, where the hottest year falls is uniform 
random, so the hottest year had probability 13/100 of falling in that interval. 
 The next hottest year then had probability 12/99 of falling in the remaining 
12yr of that interval, given the hottest had already fallen it. The third 
hottest year had probability 11/98 of falling in that interval, given the first 
two had fallen in it, and so on.  So the probability of the 10 hottest years 
falling in that 13yr period is
 
     P = (13*12*...5*4)/(100*99*...*92*91) = 1.65e-11
 
 To this we must add the probability of the more extreme events, e.g. the 
probability that the ten hottest years were in the last 12
 
     P = (12*11*...*5*4*3)/(100*99*...*92*91) = 3.81e-12
 
 and that they were in the last 11
 
     P = (11*10*...*5*4*3*2)/(100*99*...*92*91) = 6.35e-13
 
 and that they were in the last 10
 
     P = (11*10*...*5*4*3*2)/(100*99*...*92*91) = 5.77e-14
 
 Summing we get P = 2.10e-11
 
 A p-value good enough for CERN.  But this isn't a very good analysis for two 
reasons.  First, it's not directly measuring trend, it's the same probability 
you'd get for any 10 of the observed temperatures falling on any  defined 13 
years.  So you have infer that it means a trend from the fact that these are 
the hottest years and they occur in the 13 at the end. Second, it implicitly 
assumes that yearly temperatures are independent, which they aren't.  If 
temperatures always occurred in blocks of ten for example the observed p-value 
would be more like 0.1.  But this shows why you need to consider well defined, 
realistic alternatives.  Your alternative was "no trend", but no trend can mean 
a lot of things, including random independent yearly temperatures.
 
 A better analysis is to select two different years at random and count how 
many instances there are in which the later year is hotter.  Under the null 
hypothesis only half should count. This directly counts trends. And this is 
independent of whether successive years are  correlated.  There are 10000 
possible pairs in a century which is large enough we can just sample it. I got 
the NOAA data from 1880 thru 2013, so I used a little more than a century. 
 
 For example taking a sample of 100 pairs gives 86 in which the later year was 
warmer (I counted ties as 0.5).  The null hypothesis says this is like getting 
86 heads in 100 tosses, which obeys a binomial distribution.  The probability 
of getting 86 or more heads in a 100 tosses is 4.14e-14. 
  
 
  Brent, I tip my hat to you. I was preparing to write some objections after 
reading your first analysis, but your pair sampling analysis already addresses 
them. You convinced me that there is, in fact, a global temperature increase 
trend in the last century.
     
 
 So are you also convinced that increased CO2 is causing it?


I am still worried about the reliability of the temperature values themselves. 
I would be less worried if the raw data was made public.
Normally I trust scientists. In this case, the thing got so mixed up with 
politics that it makes me uneasy. Mainly because I observe politicians to be 
caught lying too often about very big things. I know, you are going to say that 
this is absurd because the Koch Bros have much deeper pockets. Maybe so. You 
are probably right, but if I am being too paranoid, perhaps you can at least 
understand why I would think like that, given recent history.
Assuming the temperature values are correct, I would say that it seems very 
plausible that increased CO2 is causing the warming.
Telmo. 
 
 Brent
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