There is a wide range of results from climate models -
http://www.ig.utexas.edu/people/staff/charles/uncertainties_in_model_predictio.htm
- not simply carbon trajectories.

Climate seen as a dynamically complex system is theoretically
determinant (as an initial value problem) but practically incalculable
and I doubt that there is any value in these 'boundary value'
projections at all.  Complex systems theory - and real world data -
suggests that abrupt change is the norm for climate at all timescales
from ENSO to ice ages and beyond.  Theory suggests that small changes
in initial conditions (e.g. greenhouse gases) trigger climate
fluctuation with climate then settling into a new state.  Climate
could be either warmer of cooler in 100 years and there is absolutely
no way of meaningfully predicting what it will be.

Tsonis et al (2007) – (https://pantherfile.uwm.edu/kravtsov/www/
downloads/GRL-Tsonis.pdf) used a relatively new network approach to
analysing complex systems.  They used 4 ocean/climate indices - the
Pacific Decadal Oscillation (PDO), the North Atlantic Oscillation
(NAO), the El Niño/Southern Oscillation(ENSO), and the North Pacific
Oscillation (NPO) and show that climate behaves on multidecadal
timeframes as you would expect it to - as a complex system in terms of
complex systems theory. Major climate shifts occurred around 1910, the
mid 1940’s, the mid 1970’s and 1998/2001.

While complexity theory shows the futility of ambitious projections of
average future climate – it suggests that there are other ways of
approaching the problem.  I have been reading a recent article by
Vasilis Dakos and colleagues:

‘Slowing down as an early warning signal for abrupt climate change
Abstract
In the Earth's history, periods of relatively stable climate have
often been interrupted by sharp transitions to a contrasting state.
One explanation for such events of abrupt change is that they happened
when the earth system reached a critical tipping point. However, this
remains hard to prove for events in the remote past, and it is even
more difficult to predict if and when we might reach a tipping point
for abrupt climate change in the future. Here, we analyze eight
ancient abrupt climate shifts and show that they were all preceded by
a characteristic slowing down of the fluctuations starting well before
the actual shift. Such slowing down, measured as increased
autocorrelation, can be mathematically shown to be a hallmark of
tipping points. Therefore, our results imply independent empirical
evidence for the idea that past abrupt shifts were associated with the
passing of critical thresholds. Because the mechanism causing slowing
down is fundamentally inherent to tipping points, it follows that our
way to detect slowing down might be used as a universal early warning
signal for upcoming catastrophic change. Because tipping points in
ecosystems and other complex systems are notoriously hard to predict
in other ways, this is a promising perspective.’

– the article is downloadable from PNAS.

It occurred to me that it might be possible to apply the
autocorrelation technique of Schaffer et al to ENSO and Vostok ice
core data and take at stab at predicting ENSO and ice ages.

Complex systems theory suggests that abrupt climate change is the norm
at any time in the history of the planet.  Climate is complex and
dynamic and fluctuates wildly between extremes on all sorts of
timescales.

Any projection - including my own I am afraid - is nonsense.

On Jan 1, 8:56 am, Alastair <[email protected]> wrote:
> On Dec 31, 12:06 pm, James Annan <[email protected]> wrote:
>
> > And what happens if you divide the total by 280 and take the log to
> > work out the forcing?
>
> > James
>
> I was leaving that to you :-) You are the mathematician!
> but in case you haven't noticed the glaciers, Antarctic ice and Arctic
> sea ice are all melting much faster than your log of the forcing would
> imply.
>
> Cheers, Alastair.

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