If the error for different models is random with zero mean, then sampling theory shows that this model average will yield a better estimate of the signal than any single
model realisation.
This is not a very strong statement though, and more work could perhaps be done to construct a better forecast using the underlying trends in the models and statistical models for the ENSO and internal variability components inferred from observations, rather than purely from
model realisations.
Not exact matches
The revival of group selection is a result of better
models and experimental studies showing it is indeed possible, as well as the
realisation by biologists that today's individuals are yesterday's groups.
A full
realisation of the medical potential of stem cells for human health will likely depend on a reinforcement of, and development of a whole continuum of studies ranging from those in vivo using
model organisms, to cell - based therapies in the clinic.
Created utilising many of the same techniques as applied in the development of Aston Martin production sports cars — hand sketches and 3D
modelling, followed by full
realisation in the virtual world — DP - 100 provides an exceptional level of detail with a fully functioning suspension system and state - of - the - art electronics.
First, I applied the method to a business
model which is suited to that method (easy to understand, moated businesses, with a dominant market position and strong long - term growth prospects derived from both business volume growth as well as
realisation growth).
Except value stocks are often mired in bad management, bad business
models, bad industries & dreadful capital allocation — with little hope of compounding their intrinsic value — the best we can hope for is a
realisation of intrinsic value.
Since 2011, Melgaard and Snøhetta have exchanged architectural drawings,
models and documents as they work towards the
realisation of a purpose - built house, where Melgaard will live and work in Oslo, Norway.
I did so, and in so doing pointed out a number of problems in the M&N paper (comparing the ensemble mean of the GCM simulations with a single
realisation from the real world, and ignoring the fact that the single GCM
realisations showed very similar levels of «contamination», misunderstandings of the relationships between
model versions, continued use of a flawed experimental design etc.).
[Response: The
model ensemble is supposed to be a collection of possible
realisations given the appropriate forcing.
That defines the likelihood that one
realisation (i.e. the real world) is conceivably drawn from the distribution defined by the
models.
With «mean climate», surely the
model ensemble mean is meant, however the «real data» to base the tuning on by definition is restricted to the single
realisation of Earth's climate (including cloud cover caused by, for instance, multi-decadal oscillations instead of AGW feedback).
Recently I have been looking at the climate
models collected in the CMIP3 archive which have been analysed and assessed in IPCC and it is very interesting to see how the forced changes — i.e. the changes driven the external factors such as greenhouse gases, tropospheric aerosols, solar forcing and stratospheric volcanic aerosols drive the forced response in the
models (which you can see by averaging out several simulations of the same
model with the same forcing)-- differ from the internal variability, such as associated with variations of the North Atlantic and the ENSO etc, which you can see by looking at individual
realisations of a particular
model and how it differs from the ensemble mean.
We can derive the underlying trend related to external forcings from the GCMs — for each
model, the underlying trend can be derived from the ensemble mean (averaging over the different phases of ENSO in each simulation), and looking at the spread in the ensemble mean trend across
models gives information about the uncertainties in the
model response (the «structural» uncertainty) and also about the forcing uncertainty — since
models will (in practice) have slightly different
realisations of the (uncertain) net forcing (principally related to aerosols).
In addition to developing the technical and economical concept, we supervise the
realisation phase and offer different financing and partnering
models.
I think Tomas underestimates by quite a bit the numbers of scientists who are coming to a
realisation of chaos in both climate and
models.
an analysis of the full suite of CMIP5 historical simulations (augmented for the period 2006 - 2012 by RCP4.5 simulations, Section 9.3.2) reveals that 111 out of 114
realisations show a GMST trend over 1998 - 2012 that is higher than the entire HadCRUT4 trend ensemble... During the 15 - year period beginning in 1998, the ensemble of HadCRUT4 GMST trends lies below almost all
model - simulated trends whereas during the 15 - year period ending in 1998, it lies above 93 out of 114
modelled trends.
Note that the
model future temperature
realisation in the last plot has a near decade - long «pause» in the 2030s.
Obtain future stochastic projections by extending the trend (e.g. by extrapolation) and adding back random «
realisations» of the noise
model («Monte Carlo simulation»).
They took a small number of long station records and compared them to co-located grid points in single
realisations of a few
models and correlate their annual and longer term means.
The answer to their effective question — are very local single
realisations of weather coherent across observations and
models?
The ensemble average over the three
realisations, also shown in the diagram, is an estimate of the
model s forced climate change where some of this natural variability has been averaged out.
For independent
realisations, the natural variability noise is reduced by the ensemble averaging (averaging to zero for a large enough ensemble) so that -LCB- T -RCB- is an improved estimate of the
model s forced climate change Tf.
To continue relating some of the issues of «fault» within the «Terrestrial Greenhouse based Climate
models», apart from the obvious discrepancies of the included materials behavior to those actually presented, there is the further exasperations from the
realisation of the «double» inclusion of kinetic energy within the calculations».
, and since he knows that individual
realisations of the GISS
model come up with fits to the «socio - economic» variables as good as he has calculated in the real world, the practical significance of these continued variations is zero.
Dr. Curry argued on the feedback thread that single
model runs (what I would refer to as
realisations) were not informative due to the fact that a single run could look very different due to natural variability.
With the rising number of female lawyers, together with cloud based technology and a growing
realisation that the rainmakers in a law firm should be properly rewarded for their contributions, the traditional
model of a law firm is looking more and more archaic in a more commercial age.