David,

Sorry - meant to finish this rather then send.

The formula you use is unintelligible.  In between the missing
brackets, undefined terms and dimensionaly impossible mathematics
(e.g. ln(PPM) - ln(PPM) - degrees K ?) - let's try to see how it
works.

You estimate the 'observed' (???) global temperature response to a
doubling of CO2 (???) as 2.28 degrees K - so your formula is:

delta global temperature (doubling of CO2) = 2.28 ln 2 = 1.58 degrees
C.  I see, not much of a problem at all and consistent with the low
end of the models?

So we get a temperature increase of 1.58 degrees (K or C whatever) for
a doubling of CO2 - but where you have already 'estimated' it as
2.28.  Not only circular reasoning but circular reasoning that arrives
at an inconsistant answer.

The Arrhenius formula is:

delta global temperature = gamma X delta forcing = gamma X alpha X ln
(CO2/CO1) - where alpha is estimated empirically at 5.35 in Arrhenius'
calculation.  An empirical result (from laboratory results) I believe
and and not related at all to 'so-called' climate sensitivity to
doubling of CO2.

Calculating gamma is a different exercise.

delta forcing = 5.35 ln(380/280) = 1.6 W/m2 - not remarkably the IPCC
CO2 forcing for CO2 in the past 130 years.

delta T = 0.7 degrees C (observed temperature increase) = gamma X 1.6
=> gamma = 0.42 => gamma X alpha = 2.30 - a little different from your
2.28 but essentially the same except arrived at logically and without
the leap into dimensional inconsistencies.

I define the relationship in terms of temperature observations but
wouldn't dream of then correlating to observation.  You do see this
fundamental problem I hope?  I rather think you need to add also other
forcings and feedbacks.  If it were as simple as you suggest - there
would not be a complex problem.

And surely you should understand that the 120 year old science of
Arrhenius needs to be understood in the light of 21st century
physics?  You blithely talk about 'well explained' (but undefined)
'internal variability' around 1910 and the mid 1940's - but claim on
the basis of simple and misguided calculations that the abrupt 'Great
Pacific Climate Shift' of 1976/1977 was driven by CO2.  You need to
get a wider perspective.  I think you should define what you mean by
'internal variability' and then try to explain the underlying physics
to yourself - and not simply by naming it as ENSO, the AMO or some
other physical manifestation of an abrupt and nonlinear climate
oscillation.

Cheers
Robert


On Apr 19, 11:04 am, "David B. Benson" <[email protected]> wrote:
> On Apr 16, 5:01 pm, Robert I Ellison <[email protected]>
> wrote:> ...
> > Major climate shifts around 1910, the mid 1940's, the late 1970's and,
> > ...
>
> Fromhttp://www.realclimate.org/index.php/archives/2010/03/unforced-variat...
> we can see that the so-called shifts around 1910s and 1940s are well
> esplained as internal variabity while that of the 1970s is driven by
> CO2.
>
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