The Royal Society Climate change: a summary of the science I September
2010

'In principle, changes in climate on a wide range of timescales can
also arise from variations within the climate system due to, for
example, interactions between the oceans and the atmosphere; in this
document, this is referred to as “internal climate variability”. Such
internal variability can occur because the climate is an example of a
chaotic system: one that can exhibit complex unpredictable internal
variations even in the absence of the climate forcings discussed in
the previous paragraph.

http://the-eggs.org/bookreviews.php?id=55

'The readers of Nonlinear Processes in Geophysics are well aware that
the solutions to nonlinear deterministic-like equations governing
weather evolution are most probably chaotic in space and time: a small
scale truncation can in a finite time generate large-scale errors.
This behaviour has been conjectured precisely, for the prototypical
Navier-Stokes equations and is subject to a million-dollar Clay
Mathematics Millennium prize. Without awaiting this mathematical
conclusion, statistical theories of turbulence and corresponding
stochastic models are already in constant use in a wide range of fluid
mechanics applications.

The book “Stochastic Physics and Climate Modelling” edited by Palmer
and Williams (2010) pushes forward these ideas in an original manner
to the even more challenging and wider theme of climate change, which
has an estimated worth of one trillion dollars (Stern, 2006), as
recalled by the editors in their breathtaking preface. This book
indeed promotes the use of stochastic, or random, processes to
understand, model and predict our climate system, and in particular to
resolve the presently considerable uncertainty in global and regional
climate predictions.'

Irreducible imprecision in atmospheric and oceanic simulations James
C. McWilliams 2007 PNAS - http://www.pnas.org/content/104/21/8709.full

'Sensitive dependence and structural instability are humbling twin
properties for chaotic dynamical systems, indicating limits about
which kinds of questions are theoretically answerable. They echo other
famous limitations on scientist’s expectations, namely the
undecidability of some propositions within axiomatic mathematical
systems (Godel’stheorem) and the uncomputability of some algorithms
due to excessive size of the calculation'.

http://journals.ametsoc.org/doi/pdf/10.1175/2009BAMS2712.1

'There is a delicate web of interactions among the different
components of the climate system. The interplay among the time scales
is quite intricate, as the fast atmosphere interacts with the slow
upper ocean and the even slower sea ice and deep-soil and groundwater
processes. Spatial scales are tightly connected too, as small-scale
cloud systems, for instance, affect the large-scale energy balance.
Furthermore, everything is connected by water in its various forms.
Water flows easily from place to place and exchanges energy with the
environment every time it changes phase. Evaporation, condensation,
freezing, and melting processes must be taken into account and
evaluated as accurately as possible. The past 40 years of climate
simulation have made it apparent that no shortcut is possible; every
process can and ultimately does affect climate and its variability and
change. It is not possible to ignore some components or some aspects
without paying the price of a gross loss of realism.'

The Navarra et al conclusion that

“Such models have become the central pillar of the quantitative
scientific approach to climate science because they allow us to
perform “crucial” experiments under the controlled conditions that
science demands”

Nonetheless, the real pursuit of science is in theory and
observation.

'In a truly nonlinear setting, indeterminacy in the size of the
response is observed only in the vicinity of tipping points. We show,
in fact, that small disturbances cannot result in a large-amplitude
response, unless the system is at or near such a point. We discuss
briefly how the distance to the bifurcation may be related to the
strength of Earth's ice-albedo feedback.'  Your reference - it doesn't
mean that climate is linear - just that large change happens at
tipping points.  Duh.

'EBMs exhibit two saddle-node bifurcations, more recently called
"tipping points," which give rise to three distinct steady-state
climates, two of which are stable. Such bistable behavior is,
furthermore, supported by results from more realistic, nonequilibrium
climate models.'

Neither the original or the original article is well founded in
observation - a 2 or 3 state model can't be compared with multiple
equilibria of the real climate system.

http://isccp.giss.nasa.gov/zFD/an9090_SWup_toa.gif - you need to
include clouds in the delicate web of interactions.

I am seriously disturbed that don't think that this is a logical non
sequiter - from linear to nonlinear - but still you think it makes a
point?


On Sep 27, 6:50 am, "David B. Benson" <[email protected]> wrote:
> The abstract of
> Zaliapin, I. and Ghil, M.:
> Another look at climate sensitivity,
> Nonlin. Processes Geophys., 17, 113-122,
> doi:10.5194/npg-17-113-2010.http://www.nonlin-processes-geophys.net/17/113/2010/npg-17-113-2010.html
> appears relevant to this discussion
> (if we can call it that).
> [Thanks to Chris Colose]

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