As in Y12, we used the point-wise difference between each pair of data sets as an indication
of observational uncertainty, although this is likely to be somewhat of an underestimate of the true error.
The observed rate of warming given above is less than half of this simulated rate, and only a few simulations provide warming trends within the range
of observational uncertainty.
You have to remember that the 5 year forecast is derived from a large number of individual runs each with slightly different starting conditions matching the range
of the observational uncertainty in the real starting conditions.
First, what is and is not considered an extreme event needs an appropriate definition and is confronted with the problem
of observational uncertainty.
Few detection studies have explicitly considered the influence
of observational uncertainty on near - surface temperature changes.
We recently published a paper exploring the impact
of observational uncertainty on an attribution analysis.
«Although the different estimates of OHCA (ocean heat content anomaly) produce seemingly different estimates of interannual ocean heating rate variability, these differences are all within the range
of observational uncertainty.
The suggested «correction» of sunspot numbers by roughly 30 % goes far beyond the traditional estimates
of observational uncertainties of sunspots.
Not exact matches
Among the advances achieved since the 2001 IPCC report is that scientists have quantified the
uncertainties associated with each individual forcing mechanism through a combination
of many modeling and
observational studies.
But the year's worth
of data that has arrived from Titan has allowed him to check his studies against new
observational data and to improve his assessment
of the impact
of data
uncertainties.
We've narrowed the
uncertainty in surface warming projections by generating thousands
of climate simulations that each closely match
observational records for nine key climate metrics, including warming and ocean heat content.»
The form
of the Jeffreys» prior depends on both the relationship
of the observed variable (s) to the parameter (s) and the nature
of the
observational errors and other
uncertainties, which determine the form
of the likelihood function.
However, the recommendation to eat fruit and vegetables to prevent chronic diseases is mainly based on
observational epidemiological studies, which leaves much
uncertainty regarding the causal mechanism
of this association.
We find that the difference between the heat balance at the top
of the atmosphere and upper - ocean heat content change is not statistically significant when accounting for
observational uncertainties in ocean measurements3, given transitions in instrumentation and sampling.
But since there are reasonable estimates
of the real world GMT, it is a fair enough question to ask why the models have more spread than the
observational uncertainty.
Here we quantify the effects
of key parametric
uncertainties and
observational constraints on thermosteric SLR projections using an Earth system model with a dynamic three - dimensional ocean, which provides a mechanistic representation
of deep ocean processes and heat uptake.
We ultimately face a question
of what we trust more: our estimate
of our cumulative emissions to date combined with our full knowledge
of how much warming that might imply, or an estimate
of how warm the system was in 2014 which is subject to error due to
observational uncertainty and natural variability.
For the slope to be significant, it has to be greater than the
uncertainty (which in cases
of observational measurement, is the variance around the determination
of the mean).
The first part
of this sentence seems to demand a high level
of uncertainty with respect to the later assertion, especially when one considers that the work seems to be based on 4 years
of observational data, the post-2007 ice decline.
Observational uncertainties are likely to be more important for surface temperature changes averaged over small regions (Section 9.4.2) and for analyses
of free atmosphere temperature changes (Section 9.4.4).
However, Hegerl et al. (2001) show that inclusion
of observational sampling
uncertainty has relatively little effect on detection results and that random instrumental error has even less effect.
In addition, owing to
observational uncertainties and the presence
of internal variability, the
observational record against which models are assessed is «imperfect».
In this context even models whose predictors are far outside
of the
observational range can be valuable for clarifying the slope and
uncertainty of the predictive relationship.
Morice, C. P., J. J. Kennedy, N. A. Rayner, and P. D. Jones, 2012: Quantifying
uncertainties in global and regional temperature change using an ensemble
of observational estimates: The HadCRUT4 dataset.
«despite increased
observational uncertainty in the pre-satellite era, the trend in [Arctic sea ice extent] over this longer period [1953 — 2010] is more likely to be representative
of the anthropogenically forced component.»
It also exhibits retreat
of springtime snow generally greater than
observational estimates, after accounting for
observational uncertainty and internal variability.
It is hoped that providing these 100 realisations in a form identical to the median estimate will encourage users to explore the sensitivity
of their analysis to
observational uncertainty with little extra effort.
Improvements in seasonal forecasting practice arising from recent research include accurate initialization
of snow and frozen soil, accounting for
observational uncertainty in forecast verification, and sea - ice thickness initialization using statistical predictors available in real time.
Knutti states: «So the best we can hope for is to demonstrate that the model does not violate our theoretical understanding
of the system and that it is consistent with the available data within the
observational uncertainty.»
Fundamental
uncertainties arise from insufficient
observational evidence, disagreements over how to interpret data, and how to set the parameters
of models.
It would be interesting to see Mann's analysis run with
observational data properly adjusted for undercount and short - duration storms, or at a minimum considering these factors as part
of the
uncertainties in the analysis.
We applied the same method used in the
observational analysis on general circulation model data to decrease the statistical
uncertainty at the expense
of an increased systematic
uncertainty.
In the long term, the PAGES 2k community recommends the continued development
of methods that incorporate network,
observational, and chronological
uncertainty into quantitative estimates
of past climate variability, including approaches that allow for quantitative calibration and validation
of low - frequency variability.
Irrespective
of what one thinks about aerosol forcing, it would be hard to argue that the rate
of net forcing increase and / or over-all radiative imbalance has actually dropped markedly in recent years, so any change in net heat uptake can only be reasonably attributed to a bit
of natural variability or
observational uncertainty.
Climate scientists disagree because
of fundamental
uncertainties arise from insufficient
observational evidence, disagreements over how to interpret data, and how to set the parameters
of models.»
Morice, C. P., J. J. Kennedy, N. A. Rayner, and P. D. Jones (2012), Quantifying
uncertainties in global and regional temperature change using an ensemble
of observational estimates: The HadCRUT4 dataset, J. Geophys.
The CRF curves shown in Fig. 7 and Fig. 10
of [Shaviv, 2003] have a CRF maximum near 360 m.y., while that shown in [Shaviv and Veizer, 2003] has a maximum near 320 m.y. [Shaviv, 2003] argues that such a shift
of this peak is within the
observational uncertainty of the position
of the Norma Galactic spiral arm and would «increase the agreement» with climate data.
This study addresses the challenge by undertaking a formal detection and attribution analysis
of SCE changes based on several
observational datasets with different structural characteristics, in order to account for the substantial
observational uncertainty.
In context
of the way climate sensitivity is defined by the IPCC,
uncertainty in climate sensitivity is decreasing as errors in previous
observational estimates are identified and eliminated and model estimates seem to be converging more.
«In conclusion, the detection
of the global temperature response to greenhouse gas increases is robust to 22 model and
observational uncertainty, and methods applied to detect it.
In physical sciences, where an OLS regression model with normally distributed errors is validly used to estimate a slope parameter between two variables with
observational data, errors in the regressor variable contributing a small part
of the total
uncertainty, it is usual to accept the uniform prior in the slope parameter (here Y) implied by the regression model.
He also presented evidence that much
of the discrepancy was due to
observational uncertainty, resulting from stratospheric cooling contaminating satellite measurements
of tropospheric temperature (a point that's been noted by the NOAA satellite analysis team since at least 2004; see: «Contribution
of stratospheric cooling to satellite - inferred tropospheric temperature trends»).
States that, instead, one has to consider additional factors such as internal variability, the tuning
of the model,
observational uncertainty, the temporal change in dominant processes or the
uncertainty in the forcing
But, there is a way to eliminate, or at least, think differently about the
uncertainty aerosols contribute to the determination
of TCR with
observational data.
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).
«So the best we can hope for is to demonstrate that the model does not violate our theoretical understanding
of the system and that it is consistent with the available data within the
observational uncertainty.»
Provided that rapid losses in sea ice may be predictable, there is additional
uncertainty regarding what is required in terms
of an
observational network and modeling system to predict such events.
They are perhaps the largest
uncertainty in our understanding
of climate change, owing to disagreement among climate models and
observational datasets over what cloud changes have occurred during recent decades and will occur in response to global warming2, 3.
When the bottom - up approach is used to extrapolate the emissions to larger scales,
uncertainty results from the inherent large temporal and spatial variations
of fluxes and the limited range
of observational conditions.
It should be emphasized that solving (the solvable) problems
of climate prediction (or, just as important, making a realistic assessment
of the ultimate limits to climate prediction set by the inherent
uncertainties within the system) requires the deployment and long - term maintenance
of massively expensive
observational satellite and oceanographic programs.