More on Bart, FFTs and Cloud vs temperature

To me it seems that the plot has been lost on CA were discussions revolve around FFTs iFFT convolutions etc.

Is there a relation ship between cloud (Net_tot-SW_clr) and temperature or temperature and cloud?

How about a few simple plots:

The first uses data filtered with a Hodrick-Prescott filter of 1 and plots temperature anomaly against (Net_tot-SW_clr) sorted .

The second removes any filtering:

As can be seen the is a slight rising trend.

So now reverse the axis and plot cloud cover vs temperature anomaly (sorted) These are Duff!!

So there does seem to be a temperature and  (Net_tot-SW_clr) relationship. But which is the forcing????

FFTs Cloud feedback and Stuff

Many "sums" have been done using FFTs and convolution.
It started out with Spencer:

Changed to this with "Bart"

However there seems to me to be problems with all of this.

1.  the data being used is from 10 years only
2.  the data from clear to cloudy sky is not simultaneous
3.  the  data is average over 1 month so can never be safely used to subtract clear from cloudy - the data is smeared over 1 month and can never be data from the same region.
3a. Albedo of soil and water are very different- cloud over water will show a large TOA flux difference wheras the cloud over land will show less outward going flux.
water albedo= 0.02 approx (at some angles)

ground albedo = 0.1 to 0.5
Clouds albedo = 0 to 0.8
Wiki
4.  What about the "insulating" effect of clouds at night. Shouldn't this be included in any flux calculations?
5.  There is no way the data available from Spencer/Dessler/Bart can show the accurate change in flux due to clouds

the Plots below are simple spectrums using the FFT function in excel. Note that any thing over 60 years period has very little resolutuion. and these are from 200 year records not 10 year!!.

Also when doing FFT on a non infinite series the trend should be removed before the fft transform is applied as the termination of data at either end causes problems. Using a FFT windowing function will also improve performance.

Comparison between data with a trend and detrended data:

Ocean albedo calc
http://snowdog.larc.nasa.gov/jin/rtset.html

Measurement of ground albedo
http://www.cuepe.ch/html/biblio/pdf/ineichen%201990%20-%20ground-reflected%20radiation%20and%20albedo%20(se).pdf

Variation/validation  of Albedo
http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.64.6930&rep=rep1&type=pdf