We have done new simulations, applying the MBH98 PC methodology to trendless
red noise modeled to exhibit the persistence of the North American tree ring network.
It is probably better described as an Ornstein - Uhlenbeck type of
red noise model with a strong reversion to the mean, i.e. 0C.
Not exact matches
This was accomplished using a stochastic climate
model based on the concept that ocean temperature variability is a slow dynamical system, a
red noise signal, generated by integrating stochastic atmospheric forcing, or white
noise71.
We first generate a stellar field with planetary companions based on radial velocity discoveries, use a planetary evolution
model assuming a variable fraction of heavy elements to compute the characteristics of transit events, then apply a detection criterion that includes both statistical and
red noise sources.
So when you are testing methods against
noise, you are
modelling the impact of the non-climatic processes only and I guarantee that they are not best
modelled as a
red -
noise process with the sample auto - correlation from real proxies.
Red noise is based on a first order auto - regressive
model: AR1 where each value is the previous value plus a white
noise increment.
I should add something to my last post to kadaka, which is just to mention that I myself have some personal experience with simulating random systems where people see patterns in the
noise: At Kodak, as part of
modeling an experimental system, I did some simulations of random arrays of
red, green, and blue discs in the plane.
So if we want to quantitatively distinguish anthropogenic forcing from the null hypothesis of natural forcing, then we need to add a bit of
red noise and compare noisy data with
models + / - sigma.
The
red line is a
modeled red noise spectra (unpublished).
Specifically, an AR
model of order 1, commonly called «
red noise», specifies that values at time t in the time series be correlated with the immediately preceding values at time t - 1.
It's dead wrong for McIntyre to describe M&M's
noise model as «
red noise», let alone «persistent
red noise».
Notice also that McIntyre refers to both
noise models as
red noise.
I have attempted to
model climate
models and observed temperature series with ARMA
models and then compare the
red / white
noise that these
models generate from simulations.
This: «These results suggest that current coupled
model decadal forecasts may not yet have much skill beyond that captured by multivariate
red noise.»
Applying the framework of Delworth and Manabe (1988) to the more complex CESM system, we compare simple
red noise null hypothesis
models for soil moisture variations at various depth levels with an ensemble of perfect
model forecasts conducted with the CESM.
Indeed, if this is the situation it is really impossible to forecast climate change for at least a few decades and the practical usefulness of these kind of GCMs is quite limited and potentially very misleading because the
model can project a 10 - year warming while then the «
red -
noise» dynamics of the climate system changes completely the projected pattern!
, or 3) a 10 - year «
red noise» unpredictable fluctuation of the climate system driven by an ocean heat content fluctuation [Meehl et al, NCC 2011](that, however, in the
model simulations would occur in 2055 and 2075!).
Apparently, these GCMs can «forecast» climate change only «a posteriori», that is, for example, if we want to know what may happen with these GCMs from 2012 to 2020 we need first to wait the 2020 and then adjust the GCM
model with ad - hoc physical explanations including even an appeal to an unpredictable «
red -
noise» fluctuation of the ocean heat content and flux system (occurring in the
model in 2055 and 2075!)
As an aside I did some analysis of the temperature series by forcing agent in Marvel and found that the individual series all had very little
red and white
noise and much less than that measured for the historical
model with all the forcing agents present together.
Then you assume some
models for the structure of those natural variations: white
noise,
red noise, fractional - differencing and unit root, or natural variations based in control simulations with climate
models.
The most renowned application of ρ1 is for first order autoregressive
modeling of
red noise spectra11.