In terms of model error, Y12 investigated only the relationship between the errors of ensemble mean and standard deviation
of model ensemble members.
If a model ensemble was perfect such that the true observed climatic variable can be regarded as indistinguishable from a sample
of the model ensemble, then the rank of each observation lies with equal probability anywhere in the model ensemble, and thus the rank histogram should have a uniform distribution (subject to sampling noise).
On the other hand, if the distribution
of a model ensemble is relatively under - dispersed such that the ensemble spread does not capture reality, then the observed values will lie towards the edge or outside the range of the model ensemble, and then the rank histogram will form a L - or U-shaped distribution.
Caldwell regarded a proposed emergent constraint as not credible if it lacks an identifiable physical mechanism; is not robust to change
of model ensemble; or if its correlation with ECS is not due to its proposed physical mechanism.
On the other hand, if the distribution
of a model ensemble is relatively narrow, then the observed values will lie towards the edge or outside the range of the model ensemble, and then the rank histogram will form a V - or even U-shaped distribution with large end bins depending on the severity of this error.
In this method, the reliability
of a model ensemble is evaluated from the point of view of whether the observations can be regarded as being sampled from the ensemble.
The gray shading shows the 5 - 95 percent range over the individual simulations
of the model ensemble.
The central line within each box represents the median value
of the model ensemble.
The trend in peak hottest years starting in 1998 and continuing on through 2005, 2010, and now 2014 is roughly 0.1 C per decade, as is illustrated in the graphic shown below, which is an adaption of the Ed Hawkins graphic referenced by David Apell several weeks ago in a comment he posted in response to the «Spinning the «warmest year»» article... As shown in the above graphic, if a trend of peak hottest years starts in 1998 and is then extrapolated at a rate of +0.1 C per decade out to the year 2035, the extrapolated trend just skirts the lower boundary
of the model ensemble range interval described by IPPC AR5 RCP (all 5 - 95 % range).
common standards, coordination, infrastructure and documentation that will facilitate the distribution of model outputs and the characterization
of the model ensemble, and
Due to internal climate variability, in any given 15 - year period the observed GMST trend sometimes lies near one end
of a model ensemble an effect that is pronounced in Box 9.2, Figure 1a, b since GMST was influenced by a very strong El Niño event in 1998
The very high significance levels of model — observation discrepancies in LT and MT trends that were obtained in some studies (e.g., Douglass et al., 2008; McKitrick et al., 2010) thus arose to a substantial degree from using the standard error
of the model ensemble mean as a measure of uncertainty, instead of the ensemble standard deviation or some other appropriate measure for uncertainty arising from internal climate variability... Nevertheless, almost all model ensemble members show a warming trend in both LT and MT larger than observational estimates (McKitrick et al., 2010; Po - Chedley and Fu, 2012; Santer et al., 2013).
It's not useful as an upper bound — which it's been used as — and it radically distorts the «CI's»
of the model ensemble, so that reality barely falls into the CI.
There are other plausible explanations which ought not be discounted, not the least of which is that the expected rate of warming (about 0.23 C per decade for the average
of the model ensemble) is just much too high.
The mean
of the model ensemble is what we think we would get if we had thousands of replicate Earths and averaged their trends over the same period.
The very high significance levels of model - observation discrepancies in LT and MT trends that were obtained in some studies (e.g., Douglass et al., 2008; McKitrick et al., 2010) thus arose to a substantial degree from using the standard error
of the model ensemble mean as a measure of uncertainty, instead of the standard deviation or some other appropriate measure of ensemble spread.
And regardless, even if you look at just the spaghetti monster graph it is quite clear that we are running completely on the cool side
of the model ensemble and to increase confidence we need better models (current best guess is they should be less sensitive and less attributive, to say the least).
Therefore» 95 % certain» especially in light of the failure
of the model ensemble is a real laugh.
To buttress this point, recent work by Mike Mann and colleagues has shown that warming during the most recent decade is well within the spread
of a model ensemble.
It's not evident why the smooth trend in 20th century climate forcing should give rise to such an abrupt shift, and indeed the individual members
of the model ensemble do not show a clearly analogous shift.
1) Regarding the 1970s shift, Ray mentions that: «It's not evident why the smooth trend in 20th century climate forcing should give rise to such an abrupt shift, and indeed the individual members
of the model ensemble do not show a clearly analogous shift.»
This time global annual SAT surged again but only enough to equal the average
of the model ensemble.
For instance, if some analyses
of the model ensemble tries to weight models based on some their skill compared to observations, it is obviously important to know whether a model group tuned their model to achieve a good result or whether it arose naturally from the the basic physics.
Caldwell regarded a proposed emergent constraint as not credible if it lacks an identifiable physical mechanism; is not robust to change
of model ensemble; or if its correlation with ECS is not due to its proposed physical mechanism.
These limitations can be reduced, but not entirely eliminated, through the use of multiple independent observations of the same variable as well as the use
of model ensembles.
The paper shows that the average
of the model ensembles over-estimated the warming, which is in agreement with the AR5.
The extent to which anyone (including the IPCC) considers that a true picture of attribution, relies on the extent of belief in the accuracy
of the model ensembles.
In Sect. 2, we describe the model ensembles and the application of the rank histogram approach, including a description of the statistical method used to define the reliability
of model ensembles from the rank histogram, and a method for handling uncertainties in the observations.
There are a large number of methods one could adopt to evaluate the performance
of model ensembles and there are many examples in the literature.
In the present paper, we analyse the reliability
of model ensembles in statistical terms.
This idea of a «statistically indistinguishable» ensemble is common in the field of weather forecasting and other ensemble prediction fields, and under this paradigm the reliability
of model ensembles can be evaluated through the rank histogram approach (Anderson 1996) whereby the distribution of the observed occurrence of an event in the prediction ensembles is evaluated.
What should happen is that people should stop trying to think that counting finite samples
of model ensembles can give a probability.
The EDoF
of model ensembles are calculated by changing the ensemble sizes (Figs. 3, 4), and it is found that the MMEs generally have large EDoF compared to the SMEs.
These results suggest that the structural diversity is important in order to include the observation among the spread
of model ensembles.
The method for calculating the rank histograms in this study is the same as that described in AH10 and Y12, and involves constructing rank histograms for the gridded mean climatic state
of the model ensembles for the present - day climate with respect to various observational data sets.
As shown in Fig. 3, the EDoF
of model ensembles increases with increasing number of ensemble members, appearing to asymptote to a relatively small value for some ensembles, but continuing to increase in other cases.
Not exact matches
Most
of the
models strutted in
ensembles adorned with 3 - D printed components or featuring 3 - D printed accessories.
I am inclined to stay on the southwestern side
of the
model guidance, given the rather consistent forecasts
of the ECMWF and its
ensemble.
The
ensemble for the latest assessment is unprecedented in the number
of models and experiments performed.
The first is the development
of a comprehensive, closely coordinated
ensemble of simulations from 18
modeling groups around the world for the historical and future evolution
of the earth's climate.
An
ensemble of the 13 best performing
models was used, both for CLIM and H - CLIM to predict the spatially - distributed mean and maximum area burnt for the period 1950 - 2015 to explore to what extent hydrology adds.
Machine learning, statistical
models and
ensemble learning all become part
of the process.
Using a hierarchical
model, the authors combine information from these various sources to obtain an
ensemble estimate
of current and future climate along with an associated measure
of uncertainty.
The idea that our universe — everything we can observe, including the laws
of physics that shape it — is just one among a vast
ensemble may seem the stuff
of science fiction, but cosmologists build multiverse
models using a theory called inflation.
Here, we review the likelihood
of continued changes in terrestrial climate, including analyses
of the Coupled
Model Intercomparison Project global climate model ense
Model Intercomparison Project global climate
model ense
model ensemble.
Using an
ensemble of five global hydrological
models, the researchers examined the evolution
of water availability, demand, and scarcity globally from 1971 to 2010.
In their study, the researchers used an
ensemble of climate
models to simulate the concentrations
of ozone and PM2.5 in the years 2000 and 1850.
Using results from simulations conducted using an
ensemble of sophisticated
models, Ricke, Caldeira, and their co-authors calculated ocean chemical conditions that would occur under different future scenarios and determined whether these chemical conditions could sustain coral reef growth.
Through an
ensemble modeling approach, we were able to show that without anthropogenic effects, the droughts in the southwestern United States would have been less severe,» says co-author Axel Timmermann, Director
of the newly founded IBS Center for Climate Physics, within the Institute for Basics Science (IBS), and Distinguished Professor at Pusan National University in South Korea.
The research used historical data — mainly from North American, Europe and East Asia — and an
ensemble of climate
models to analyze the past and future risk
of various extreme hot, wet and dry events, including the highest daytime and nighttime temperatures, mildest low temperatures, wettest days, and longest dry spells.