Ross McKitrick did prepare a response to the argument
re spatial correlation.
Not exact matches
«On the basis of time and
spatial correlations, we conclude the DFW sequence may
be the result of fluid injection at the SWD [saltwater - disposal] well,» they wrote in a paper published in March 2010 in The Leading Edge.
«When we compared the
spatial correlation using datasets that include only magnitude 3 - plus earthquakes, there
was no change,» said Pollyea, adding that a larger reduction in wastewater injection volumes
is needed to reduce the dangers of large magnitude earthquakes.
In particular, Brillouin optical
correlation - domain reflectometry (BOCDR), which operates based on the
correlation control of continuous lightwaves,
is known to
be an intrinsically one - end - access distributed sensing technique with high
spatial resolution (< 1 cm).
In addition, the Honeycomb Maze enables researchers to study the
correlation of
spatial navigation performance with the activity of place cells in the hippocampus where there
is a map of an animal's location in space.
Negative
correlations between SVD burden score and cognitive scores
were observed for global cognitive, memory, and visual
spatial scores (all p < 0.05).
In addition, temporal [17] and
spatial [16,17]
correlations between increased levels of HIF - 1α, the regulatory subunit of HIF - 1, and increased VEGF expression have
been shown, indicating that HIF - 1 may control the expression of VEGF in the retina under hypoxic conditions.
The chemical composition of these decay products in relation to the substrate material, the various conservation and restoration historic phases
is discussed along with their
spatial distribution on the monument's surfaces and also in
correlation with environmental and climatic data.
Although there
were modest negative
correlations between HFB and alpha local activity within each network,
spatial connectivity patterns showed similarities between these frequency ranges.
Longitudinal mixed models
were also used to estimate the effect of vaccine dose on mean log - transformed antibody levels over time, using a
spatial exponential covariance structure to model the
correlation between measurements from the same individual while taking into account the number of study days between measurements.
We concluded that the adopted covariance model
was compatible with the data, as the empirical semi-variogram fell within the 95 % tolerance intervals computed via Monte Carlo simulation and a
spatial correlation test of residuals.
Fritz and her team
are the first to confirm this
correlation on such a large
spatial and temporal scale — for North America as well as for Europe.
Functional connectivity
is typically measured using one of three approaches: (1) regression analysis using a seed region of interest (Greicius et al., 2003; Fox et al., 2005), (2) full or partial
correlation analysis of multiple regions of interest (Ryali et al., 2012), or (3) independent component analysis (ICA) of the entire imaging dataset to identify
spatial maps with common temporal profiles (Beckmann and Smith, 2004; Cole et al., 2010).
We first demonstrate less variability of global Pearson
correlations with respect to the two chosen networks using a sliding - window approach during WM task compared to rest; then we show that the macroscopic decrease in variations in
correlations during a WM task
is also well characterized by the combined effect of a reduced number of dominant CAPs, increased
spatial consistency across CAPs, and increased fractional contributions of a few dominant CAPs.
The
spatial smoothness of T2 * images
was greater at 3 T by less than 1 mm, suggesting that the greater extent of activation at 3 T beyond these
spatial scales
was not due primarily to increased intrinsic
spatial correlations at 3 T. Rather, the increase in percentage of voxels activated reflects increased sensitivity for detection of brain activation at higher field strength.
One index capturing this could
be the
correlation between the
spatial patterns in OLR and the surface IR flux over time (figure below taken from Benestad (2016)-RRB-.
in my paper indicates that the d - o - f of all the fields
is significantly less (and sometimes much, much less) than what you would get in the zero
spatial correlation case.
If you download 1998 - 2009 cloud cover here, and sea surface temperatures here, you can see that, except for a cloud band from ~ 0 to 10 degrees N, cloudiness
is generally less where SST
is warmer, though there
are lots of details and
spatial variation that lessen the
correlation.
There
is lots of
spatial correlation in the data.
My take on his preprint
is that his conclusion that «zero
spatial correlation can not
be rejected»
is astonishing.
The
spatial patterns of our emission fluxes and observed methane — propane
correlations indicate that fossil fuel extraction and refining
are major contributors (45 ± 13 %) in the south - central United States.»
First of all, the observed changes in global mean temperatures
are more easily calculated in terms of anomalies (since anomalies have much greater
spatial correlation than absolute temperatures).
I speculated that this
was due to him not appreciating the
spatial auto -
correlation structure of the variables and over-estimating the degrees of freedom.
Probably the
correlation between the high - SST area and the total TC activity
is positive, but it
is a result of
spatial aggregation of complicated phenomena.
What
is lacking
is mainly the
correlation between the models and real world in local and regional weather but this
is also ever improving as the model time and
spatial resolution improves.
It
is striking to what extent they resemble the
spatial pattern seen in the AR4 ensemble free - running version rather than the initiallised forecast, though there
are also some
correlations there too (for instance, west of the Antarctic peninsula, related to the ozone - hole and GHG related increase in the Southern Annular Mode).
I
am really impressed by the
spatial correlation between the model run and the actual temperature anomalies.
Degrees of freedom
is commonly used in statistics, but can also describe how much information you really need to describe something after stripping away redundant information (
spatial correlation).
This
spatial pattern
is consistent with the air temperature — North Atlantic Oscillation (NAO) index
correlation pattern, with maximum
correlation in the near - Atlantic region, which decays toward the North Pacific.
Arthur Smith argues that the
spatial correlation of ENSO
is evidence against chaos, because chaotic systems can not (in Arthur's eyes) produce structures which correlate across large scales.
[T] he basis of the results
are correlations over a very restricted set of locations (predominantly western Europe, Japan and the USA) which project strongly onto naturally occurring patterns of climate variability, or
are with fields with significant amounts of
spatial auto -
correlation.
The climate community does not seem to exercise such care, and when their poor use of methods
is pointed out they just ignore it and carry on (I could give scores of examples, from improper use of principal components, data mining, data snooping,
spatial correlation, upside down data, single cause fallacy... and now uniform priors).
But I suppose we can leave that to a study of the proper way of calculating a error due to
spatial coverage, that error will
be a function (at least in the math I've seen) involving the
spatial correlation which varies considerably.
Parker considered simple autocorrelation, but the this sort of data also exhibits homoscedasticity, as well as
spatial and long - term - temporal
correlations that likely need to
be addressed, too.
They calculated the so - called shape asymmetries from the seismic data and found each coefficient
was essentially zero at activity minimum and rose in precise
spatial correlation with rising surface activity, as measured using Ca II K data from Big Bear Solar Observatory.
Linear statistics
were used first: area - averaged and Australia - wide
spatial correlations of STR intensity and position with precipitation in south - west eastern Australia reveal that STR intensity has a much stronger and more widespread relationship with precipitation in both seasons.
In the past couple of years at BEST, has there
been any opportunity yet to look into clustering effects on your
spatial model, i.e.,
correlation function.
The
correlations are with the «mush», so any
spatial influence should
be handled in the averaging phase.
Temporal trends will exist in those temporal series, meaning their
spatial correlation calculations
are impacted by temporal trends.
The running text in MBH98 stated: «Figure 3 shows the
spatial patterns of calibration β, and verification β and the squared
correlation statistic
r2, demonstrating highly significant reconstructive skill over widespread regions of the reconstructed
spatial domain [emphasis added]» and later: «β [or
RE]
is a quite rigorous measure of the similarity between two variables... For comparison,
correlation (
r) and squared -
correlation (
r2) statistics
are also determined.
I think there
are technical issue with how BEST
is computing the
correlation that
is exacerbating the
spatial smearing problem in their kriging function:
The Lasso method would have
been a lot more useful if
spatial correlation were taken into account.
The approach can
be refined for
spatial autocorrelation by replacing WLS with «Generalized Least Squares» (GLS), aka Aitken's rule, which takes
correlations into account.
Even apart from the cherry picking issue, it
is likely that these error bands do not take the
spatial correlations into account, which, with the much larger number of proxies,
are more severe than in Loehle and McC.
However, developing an improved
correlation model that incorporates additional
spatial variations
is a likely topic for future research.»
Such concerns, however,
are tangential to the global mean temperature signature of oceanic natural variability, which
is robust and independent of
spatial correlations that might obscure the identification of the precise geographical source of such variability.
> clearly in California, the
spatial correlation is poor, no?
You can see very close stations (in California for exemple) showing different trends... so clearly in California, the
spatial correlation is poor, no?
And this
is what I had in mind from previous discussions: a fairly large
spatial correlation, like the 800-1200 km that can
be found in the Hansen 1987 paper.
Question from a novice: how
is this spacial noise — or poor
spatial correlation — taken into account when estimating the uncertainty on the average temperature?