remedial science: the problems with proxies
(too old to reply)
2018-08-07 11:07:15 UTC
Executive summary:

* Tree rings give an estimate of both local temp and precip.

* The estimates are noisy -- approx +-100% error for temps
and +-70% for precip in the Mongolia proxy used below.

* If temp and precip changes are correlated -- e.g. temps go up and
precip goes down -- tree rings growths don't register the change
robustly, and maybe not at all.

Tree ring proxies give a rough guide to past temperatures and rainfall
patterns. But even a "trsgi" standardised growth rate is (therefore)

As an example we can check some tree ring data for 16th-20th cent
Mongolia (Jacoby 2006).

Let's look at the error bars when we try to interpret tree ring growth
data as temperatures or precipitation.

Running the Mongolia tree ring data against annual av temps for the
region gives us the model:

y = 0.312647*x + -1.41843
beta in 0.312647 +- 0.316268 95% CI
P(beta>0.000000) = 0.973688
r2 = 0.0406499

Which indicates TRSGI captures something about temperatures in
Mongolia, but the low R2 warns us the error bars are quite wide. The
95% bounds are essentially a +- 100% error. Somewhat more than
satellite surveys or ground thermometers.

The precip relationship is similar.

y = 1.20691*x + 18.9548
beta in 1.20691 +- 0.825839 95% CI
P(beta>0.000000) = 0.997676
r2 = 0.0865449

IOW the conversion of a tree ring growth to an annual precip has a 95%
error bar of +- 68% of the central estimate. The R2 warned us the
conversion was noisy even if there is a statistically significant link
between tree ring growth and annual precipitation.

Being a "double proxy" has its downside. Correlated changes can become
invisible to the proxy. If temperatures and precipitation change in
"the right way" there is an attenuated -- maybe 0 -- change in the
TRSGI proxy.

If we run the TRSGI from the Mongolia tree ring data against modern
data (which partly overlaps the proxy data for the early 20th cent)
for regional temperatures (C) and precipitation (mm/mo) we find the model:


temp 0.10839 0.05236 2.07005 0.04131
precip 0.02931 0.01891 1.54956 0.12476
CONSTANT 0.48698 0.39519 1.23226 0.22106

THE F-VALUE = 3.797 (WITH 2 AND 90 DF) P - VALUE = 0.02611

Which suggests the fit is still very noisy.

And we note the temp and precip coefficients.

We can deduce that if temps and precip change so that

.10839*deltatemp approx== -.02931*deltaprecip
deltatemp approx== -.2704 *deltaprecip

then there would be essentially no change in the TRSGI.

Example. Supposed monthly precip reduced by 10mm over some period.
Our equation shows if temps over the same period rose ~2.7C then the
tree rings would appear to grow at the same -- the change would not
register as strongly, maybe not at all.

Unfortunately, reducing rainfall and increasing temperature is a
pattern that is more likely to happen than the opposite. We suspect
tree ring data will not very well track some region that is tending to
become hotter and drier.

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Wally W.
2018-08-07 11:42:33 UTC
Post by M***@kymhorsell.com
* Tree rings give an estimate of both local temp and precip.
* The estimates are noisy -- approx +-100% error for temps
and +-70% for precip in the Mongolia proxy used below.
* If temp and precip changes are correlated -- e.g. temps go up and
precip goes down -- tree rings growths don't register the change
robustly, and maybe not at all.
Global Warming's Tree Ring Circus Brings Us The Costliest Show On

"If global warming isn’t the Greatest Show on Earth, it’s certainly
the costliest and most bizarre. An early act featuring a hockey stick
–shaped graph published by the UN Intergovernmental Panel on Climate
Change (IPCC) in 2001 profoundly influenced world energy and
environmental policies.

Based heavily upon data taken from tree growth rings on the Yamal
Peninsula in Siberia, it indicated that world temperatures which had
been stable for 900 years until the 20th century suddenly soared due
to human fossil fuel-burning greenhouse gas emissions – at least that
was the IPCC’s story.

... it's way past time for the carnival we have witnessed to fold up
its tent and get science out of show business."