Doug and Ron

Here's how I arrived at my conclusions.

From the extracts below, I conclude, given that by 2020 (or thereabouts) we had already doubled atmospheric GHGs from pre-industrial including non-CO_2 GHGs, that we will eventually warm the surface by 10^o C with a climate response e-folding time of ~100 years provided the offsetting cooling from anthropogenic aerosols continues to decline and is eventually largely eliminated.That means that by 2050 the warming would be ~2.4^o C less the residual aerosol cooling of, say 0.4^o C, giving their estimate of 2^o C.

   ·When all feedbacks, including ice sheets, are allowed to respond to
   the climate forcing, the equilibrium response is approximately
   doubled, i.e., ESS is ~ 10°C.

   ·Yet the time required for the [improved] model to achieve 63% of
   its equilibrium response remains about 100 years.(See Fig 4b – note
   log x-axis.)

   ·With all trace gases included, the increase of GHG effective
   forcing between 1750 and 2021 is 4.09W/m^2 , which is equivalent to
   increasing the 1750 CO_2 amount (278 ppm) to 561 ppm (formulae in
   Supporting Material). We have already reached the GHG climate
   forcing level of doubled CO_2 .[Note that they develop a scaling
   factor of 2.4^o C per W/m^2 which corresponds to 10^o C for the
   4W/m^2 of current GHG forcing.]

   ·Declining aerosol amount implies acceleration of global warming
   above the 1970-2010 rate.

   ·Global temperature responds reliably to climate forcing on decadal
   time scales, with about 50% of the response in the first decade,
   with about 15% more in the next 100 years

   ·we expect some [aerosol] reduction and a forcing increase of at
   least +0.1 W/m^2 per decade [between 2010 and 2050].

   ·we estimate that the global warming rate in 2010-2040 will be at
   least 50% greater than in 1970-2010, i.e., at least 0.27°C per decade.

   ·The poster child for warming in the pipeline is Fig. 7, showing
   that equilibrium warming for today’s GHG level, including slow
   feedbacks, is about 10°C. Today’s level of particulate air pollution
   reduces equilibrium warming to about 7°C.

   ·The 7-10°C global warming is the eventual response *if today’s
   level of GHGs is fixed and the aerosol amount is somewhere between
   its year 2000 amount and preindustrial amount*. (emphasis added)
   [Note that the assumptions here are that ‘today’s level of GHGs is
   fixed’, which I take to mean that future emissions are ignored, and
   aerosols are currently lower than they were in 2000.]

   Here's a simple graph showing the realisation of 10^o C of warming
   with an e-folding time of 100 years.Assume it starts in 2020 or
   thereabouts (when atmospheric CO_2 e reached 556ppmv.).



        


Regards

Robert


On 27/02/2023 03:50, Douglas Grandt wrote:
Ron and Robert,

Visually, the shape of the curve is something like this … more or less … as best I can fathom.

This is my interpretation of Hansen's assumptions and conclusions, but I very well could be wrong …

Perhaps somebody has chart generating software that would be more precise than my eyeball.

Doug



On Feb 26, 2023, at 8:58 PM, Ron Baiman <[email protected]> wrote:

*6.3 C (63% of 10) by 2020*

On Sun, Feb 26, 2023 at 7:56 PM Ron Baiman <[email protected]> wrote:

    Robert,

    Do you have a page number or an explanation of how you arrived at
    your figures? In the paper(https://arxiv.org/abs/2212.04474) on
    p. 31 I'm finding: "The 7-10 C global warming is the eventual
    response if today's level of GHGs is fixed and the aerosol amount
    is somewhere between its year 2000 amount and preindustrial
    amount."  but the key temp Figure 7 on p. 18 doesn't extend
    beyond 2025.  In the section on Climate response times (p. 32)
    the paper states that the in 2020 GISS GCM: "...the time required
    for the model to achieve 63% of its equilibrium response remains
    about 100 years" which would put the expected temp based on
    forcing estimated in the paper at 6.3 C (63% or 10) by 2023.  Is
    this where you're getting your 6.3 C by 2120 from? Unfortunately,
    I have not had the time (and probably not the background) to go
    through the entire paper and understand it well!

    Best,
    Ron


    On Sun, Feb 26, 2023 at 7:09 PM Ron Baiman <[email protected]>
    wrote:

        Thanks for the correction Robert!

        Sent from my iPhone

        On Feb 26, 2023, at 6:41 PM, Robert Chris
        <[email protected]> wrote:

        

        Ron

        Hansen et al say that the 10degC is based on 'today's GHG
        level' and that it has an e-folding time of 100 years.  That
        implies 6.3degC by 2120 and a bit less by 2100.

        Regards

        Robert



        On 26/02/2023 23:43, Ron Baiman wrote:
        Jim Hansen et al (https://arxiv.org/abs/2212.04474 )
        believe that existing legacy GHG's  have put us in "in the
        pipeline" for 10 degrees C warming by 2100!


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