I suspect that under a pink assumption one might find it difficult to show that it is «very likely» that less than half the warming since 1970 is not due to random fluctuations on the assumption that all we have is linear trend plus noise, without having to bother with other natural
cyclic trends.
The cyclic trends are projected forward and predict a probable general temperature decline in the coming decades and centuries.
There is also no hypothetical basis to presume that, even if it's a zero sum game, that there aren't
cyclic trends with periods lasting centuries required to zero it.
Not from noise but from
cyclic trends.
Note the sizeable departure of the data from the linear - plus -
cyclic trend over the last several decades.
Not exact matches
Fashion is frequently
cyclic and what was once a prime candidate for the clothing donation bin can quickly turn into the latest must - have
trend.
Professionals are trained to instruct using
trends in data and implement a signature
cyclic process of using student data to augment student achievement.
3) The overall accuracy at the global mean level is at least 2 % (one sigma) in the cloud amounts and thus none of the
trends or apparent
cyclic behaviour at the global mean level are significant.
You please look in to WMO (1966) mannual on «climate change» for the types analysis used to separate
trend from
cyclic variations which I did since early 1970s.
And his citing of the «WMO mannual on «climate change» for the types analysis used to separate
trend from
cyclic variations which I did since early 1970s» is not what he was citing it for in his December 2013 posting on Wattsupia.
(An example of a graph of a nonmonotonic function would be one showing
cyclic behavior around an upward accelerating underlying
trend curve.)
IPCC's 0.2 deg C / decade warming for the next two decades claim is wrong because the global mean temperature
trend is
cyclic as shown = > http://bit.ly/MkdC0k
The AMO is
cyclic and will return to negative soon enough and this graph implies that sea ice
trends will just reverse in a few years.
You've been fooled by chronic mathturbators — this is even more nonsensical than your «
trend - plus -
cyclic» model.]
But the task at hand was to test Dan H.'s claim that the Berkeley data reinforce the characterization of temperature change as «long - term linear
trend» or «linear - plus -
cyclic.»
The question you address at the end is to what extent the current «pause» is a temporary
cyclic phenomenon and to what extent it is a true change in the long term
trend.
If there are other non-linear effects that have a correlation to the independent variable (such as
cyclic influences), the use of least - squares estimation of the
trend is not valid.
These
cyclic temperature
trends give rise to an inevitable linkage to things we know for sure: Death and Taxes.
Climate change history is
cyclic and the continuing downward
trend of the Solar sunspot cycle follows previous patterns foretelling a cooling
trend similar to a Dalton or Maunder Minimum.
Now in order to explain how a
cyclic engine manages to produce semi-permanent step increases and / or secular
trends in temperature, something about the engine is causing it to run in a larger enclosed area in either its P - V diagram (indicator diagram in the terminology of engines) or equivalently in its T - S diagram.
This shows how selectively restricting any analysis to only the most recent portion of the available data opens up the likelihood of confounding
cyclic and non-
cyclic trends leading to false diagnosis and attribution.
The amplitude of the
cyclic component varies with the
trend period.
It will take at least another quarter century of such a systemic program to determine whether this is a more or less continuing
trend of greater melt or if such melts are of a regular
cyclic pattern.
John Philips (13:43:35) «Trends» have become virtually meaningless lately, since the word has been so variably used, but try this: Eyeball the temperature curve as correlated to the Pacific Decadal Oscillation and you will see an excellent relationship with the
cyclic cooling and warming phase of the PDO overlaid on a gradual warming
trend emerging from the Little Ice Age.
There appears to be a 60 - 70 years
cyclic warm / cooling
trend and a zero order constant background (little ice - age bounce?).
[a] perceptually striking characteristic of fractional noises is that their sample functions exhibit an astonishing wealth of «features» of every kind, including
trends and
cyclic swings of various frequencies.
The
cyclic solar effects are superposed on a long - term cooling
trend.
THe UPWARD going linear warming
trend (1850 - 2000) can not be explained with Scafetta, but the
cyclic shape of the upward
trend.....
However, it is instructive to note that a simple model of a linear
trend plus sine wave matches history so well, particularly since it assumes such a small contribution from CO2 (yet matches history well) and since in prior IPCC reports, the IPCC and most modelers simply refused to include
cyclic functions like AMO and PDO in their models.
Using your previous example of the
cyclic nature of climate over time frames of hundreds of years (driven by Milankovich cycles, though several of us have had the impression you're unaware of it), we're not interested in time scales for which we have no * physical * basis for expecting a CO2 - forced
trend.