[ncl-talk] Fewer questions about a Histogram Plot

Barry Lynn barry.h.lynn at gmail.com
Mon Nov 27 09:52:18 MST 2017


Hi Mary:

Thank you for the code snippet.  Snippets are much better than my gob.

Anyway, I don't think I have explained the point of the code yet.

We have a intervals, 0,3,6,9,12.

We have data for those intervals  (4,8,3,1).  This could be 4 model grids
with between 0-3 inches of snow, and 8 grids with between 3 and 6 inches of
snow, etc.

Then, our total would be 16 and we make the histogram that corresponds with
1,2,3,4 values of
the array we're plotting as 1111,22222222,333,4.  This is the data that
gives the correct values when
using your histogram function.

I don't think there is a simple way to use the histogram function on
processed model data without going through this transformation.

Barry

On Mon, Nov 27, 2017 at 6:19 PM, Mary Haley <haley at ucar.edu> wrote:

> Barry,
>
> If I understand your code, you are looping through every value, converting
> it to an integer (N), and then adding N slots to a new array, and assigning
> each N slots a integer counter.
>
> So, (/1.3,4.6,3.2,3.8,2.3/) would produce:
>
> (/0,1,1,1,1,2,2,2,3,3,3,4,4/)
>
> Then I'm not sure what it is you want to do with this new array, since
> these values do not tie in with your original values.
>
> However, you can clean up your code snippet by using this. I changed from
> i_int and i_num to ix, iy, and ic just to help keep track of the different
> variables:
>
>
>   dims_mod_x = dimsizes(mod_x)
>   imod_x     = toint(mod_x)
>   y_new      = new(sum(imod_x),typeof(mod_x))
>
>   iy = 0 ; index into y_new
>   ic = 0 ; index counter
>   do ix = 0,dims_mod_x-1
>     y_new(iy:iy+imod_x(ix)-1) = ic
>     iy = iy + imod_x(ix)
>     ic = ic+1
>   end do
>   print(y_new)
>
>
> On Tue, Nov 21, 2017 at 9:38 PM, Barry Lynn <barry.h.lynn at gmail.com>
> wrote:
>
>> Hi Adam, Mary:
>>
>> I appreciate your help in sorting this through.
>>
>> I believe, though, that there is still the issue I raised.  The data I
>> passed (set at the top of) hist_new.ncl comes from an NCL program that I
>> wrote to bin the data from a WRF run.  It is not simple to set the rules to
>> do so; in fact, I bin just part of the data at certain elevation angles
>> (but it could be different times or different domains or model levels). In
>> other words, I am not doing a simple binning of the data from the entire
>> data set (which is *huge,* by the way).
>>
>> Hence, it is still necessary to "prepare" the data for the histogram
>> program.  For an example, I included this prepared data at the top of my
>> program.
>>
>> I did this using the lines (twice, once for each variable to be graphed)
>>
>>  i_num = 0
>>
>>   i_end = 0
>>
>>   i_beg = 0
>>
>>   do i_int = 0,dims_mod_x-1
>>
>>   i_end = i_beg + floattointeger(mod_x(i_int))
>>
>>   do x_int = i_beg,i_end-1
>>
>>   y_new(i_num) = i_int
>>
>>   i_num = i_num + 1
>>
>>   end do
>>
>>   if (i_beg.eq.i_end)then
>>
>>    y_new(i_num) = i_int
>>
>>    i_num = i_num + 1
>>
>>   end if
>>
>>   i_beg = i_end
>>
>>   end do
>>
>>
>> This creates frequency information, where each value in the binned data
>> appears within the interval that number of times.
>>
>>
>> Does Adams suggested line do this as well, but simpler?
>>
>>   ctl_h&time = hres at gsnHistogramBinIntervals(:dimsizes(hres@
>> gsnHistogramBinIntervals)-2)+((hres at gsnHistogramBinIntervals(1)-hres@
>> gsnHistogramBinIntervals(0))/2.)
>>
>> Anyway, the program hist_new.ncl works fine now for me, having taken into
>> account your suggestions and examples on the pages.  It can now span the
>> entire range and creates a nice looking graph as well. (I should just set a
>> single color for all bars.)
>>
>>
>> If my program is in anyway unique, I wouldn't mind if it were added to
>> the examples page.
>>
>> Barry
>>
>>
>>
>> On Wed, Nov 22, 2017 at 1:47 AM, Adam Phillips <asphilli at ucar.edu> wrote:
>>
>>> Hi Mary,
>>> I simplified my original script to make it easier to digest.
>>> gsnXRefLineThicknessF should have been eliminated; I just missed it.
>>> Adam
>>>
>>> On Tue, Nov 21, 2017 at 4:24 PM, Mary Haley <haley at ucar.edu> wrote:
>>>
>>>> Hi Barry,
>>>>
>>>> I haven't checked my email in awhile, and just now noticed that Adam
>>>> answered this question.  I had just added an example to the bar chart page
>>>> showing pretty much exactly what Adam did, and that is using the
>>>> gsn_histogram function to bin the data for you, and then gsn_csm_xy to
>>>> create your own bar chart.
>>>>
>>>> See bar_21.ncl at:
>>>>
>>>> http://www.ncl.ucar.edu/Applications/bar.shtml#ex21
>>>>
>>>> You can run this example since it uses dummy data. Adam does some nice
>>>> things with his example that customizes the plot a little more, like
>>>> thickening the border around the bars and adding a reference line.
>>>>
>>>> Adam, I noticed you are setting gsnYRefLine to 0, but then
>>>> gsnXRefLineThicknessF to 3. Is this an error? Since there's no  X reference
>>>> line set, gsnXRefLineThicknessF shouldn't have any effect.
>>>>
>>>> --Mary
>>>>
>>>>
>>>>
>>>> On Tue, Nov 21, 2017 at 10:49 AM, Adam Phillips <asphilli at ucar.edu>
>>>> wrote:
>>>>
>>>>> Hi Barry,
>>>>> Perhaps more emphasis should indeed be added on the histogram page
>>>>> that the gsn_histogram function bins the data itself, but note that under
>>>>> the description section on the gsn_histogram function page it states:
>>>>> This function draws a histogram plot, where values in the given data
>>>>> are binned into equally-spaced intervals. The intervals will be selected
>>>>> for you, based on the range of the data, unless you set the
>>>>> *gsnHistogramBinIntervals*
>>>>> <http://www.ncl.ucar.edu/Document/Graphics/Resources/gsn.shtml#gsnHistogramBinIntervals>
>>>>>  resource to the desired list of interval values.
>>>>> http://www.ncl.ucar.edu/Document/Graphics/Interfaces/gsn_his
>>>>> togram.shtml
>>>>>
>>>>> For the record: I disagree with this statement: "I believe that the
>>>>> examples you have on the site do not necessarily (as is) plot histograms
>>>>> typically drawn in meteorological papers"
>>>>> I think you are disagreeing with the fact that the gsn_histogram
>>>>> function bins data for you. To me, that is the best part of the
>>>>> gsn_histogram function. However, in my opinion it is not terribly easy to
>>>>> modify the plot generated by gsn_histogram, so I've shifted to using
>>>>> gsn_histogram to bin my values, and then using gsn_csm_xy to draw my
>>>>> histogram via bars. This gives me complete control over the resulting plot
>>>>> and I don't have to code up the binning.
>>>>>
>>>>> Here's an example of mine that does this:
>>>>>
>>>>>   hres = True
>>>>>   hres at gsnDraw = False
>>>>>   hres at gsnFrame = False
>>>>>   hres at gsnHistogramBinIntervals = fspan(-8,8.,17)
>>>>>   plot = gsn_histogram(wks,ctl,hres)
>>>>>   ctl_h = plot at NumInBins*1.
>>>>>   ctl_h!0 = "time"
>>>>>   ctl_h&time = hres at gsnHistogramBinIntervals(
>>>>> :dimsizes(hres at gsnHistogramBinIntervals)-2)+((hres at gsnHistog
>>>>> ramBinIntervals(1)-hres at gsnHistogramBinIntervals(0))/2.)
>>>>>   delete(plot)
>>>>>
>>>>>   res = True
>>>>>   res at gsnYRefLine = 0.0
>>>>>   res at gsnXRefLineThicknessF = 3.0
>>>>>   res at gsnXYBarChart = True
>>>>>   res at trYMinF = 0.0
>>>>>   res at xyLineThicknessF = 3.5
>>>>>   res at gsnXYBarChartColors = (/"black"/)
>>>>>   res at xyCurveDrawOrder = "Draw"
>>>>>
>>>>>   res at trXMinF = min(hres at gsnHistogramBinIntervals)
>>>>>   res at trXMaxF = max(hres at gsnHistogramBinIntervals)
>>>>>   res at tmXBMinorValues = hres at gsnHistogramBinIntervals
>>>>>   res at gsnXYBarChartBarWidth = ctl_h&time(1) - ctl_h&time(0)
>>>>> ; change bar widths
>>>>>   res at trYMaxF = max((/max(ctl_h),max(feedback_h)/))+1
>>>>>   plot2 = gsn_csm_xy(wks,ctl_h&time,ctl_h,res)
>>>>>
>>>>> Note that I do not draw/frame plot, and only draw/frame plot2. The
>>>>> above code would have to be modified to fit what you are doing, but the
>>>>> basics are there for you to draw on.
>>>>> Hope that helps!
>>>>> Adam
>>>>>
>>>>>
>>>>>
>>>>> On Tue, Nov 21, 2017 at 10:32 AM, Barry Lynn <barry.h.lynn at gmail.com>
>>>>> wrote:
>>>>>
>>>>>> Just to add:
>>>>>>
>>>>>> The bar graph page says:
>>>>>>
>>>>>> Bar charts (in this context) are simply XY plots that are drawn with
>>>>>> bars for each X,Y point. To get bars instead of curves when using
>>>>>> *gsn_csm_xy*
>>>>>> <https://www.ncl.ucar.edu/Document/Graphics/Interfaces/gsn_csm_xy.shtml>,
>>>>>> set the special attribute res@*gsnXYBarChart*
>>>>>> <https://www.ncl.ucar.edu/Document/Graphics/Resources/gsn.shtml#gsnXYBarChart> =
>>>>>> True.
>>>>>>
>>>>>> There is a separate page for creating histograms
>>>>>> <https://www.ncl.ucar.edu/Applications/histo.shtml>, where the data
>>>>>> is binned according to ranges of values or actual values.
>>>>>>
>>>>>> It may be that I can use bar charts to make graphs directly.
>>>>>> However, it is written that "data is binned according to ranges of values
>>>>>> or actual values."
>>>>>>
>>>>>> Maybe it needs to be clear that the histogram program will bin the
>>>>>> data provided; i.e., it is not expecting to receive already binned data.
>>>>>> Lastly, I did want to plot the bars within ranges, and I am not sure if the
>>>>>> bar graph can do this or not.
>>>>>>
>>>>>> Barry
>>>>>>
>>>>>>
>>>>>>
>>>>>>
>>>>>> On Tue, Nov 21, 2017 at 7:23 PM, Barry Lynn <barry.h.lynn at gmail.com>
>>>>>> wrote:
>>>>>>
>>>>>>> Hi Mary:
>>>>>>>
>>>>>>> That's my point.  The histogram program is taking the data and
>>>>>>> binning it.
>>>>>>>
>>>>>>> However, I've already binned the data, and the data itself already
>>>>>>> represents the number of data points within each interval.
>>>>>>>
>>>>>>> I am not sure if bar charts would help or not.  I would need to look
>>>>>>> more closely, but when I looked before it didn't seem to solve my problem
>>>>>>> (but I was less experienced before).
>>>>>>>
>>>>>>> Barry
>>>>>>>
>>>>>>> On Tue, Nov 21, 2017 at 7:14 PM, Mary Haley <haley at ucar.edu> wrote:
>>>>>>>
>>>>>>>> Hi Barry,
>>>>>>>>
>>>>>>>> I don't understand your question. When you say "I originally tried
>>>>>>>> to just plot the data in mod_x and obs_x using the standard examples it
>>>>>>>> didn't work."  In what way did it not work?  Can you provide your data and
>>>>>>>> a script so I can see what you mean?
>>>>>>>>
>>>>>>>> You shouldn't need to count the values in each range because
>>>>>>>> gsn_histogram does that for you.
>>>>>>>>
>>>>>>>> For example, here's a 5-line script that draws a very basic
>>>>>>>> histogram.
>>>>>>>>
>>>>>>>>   y = (/3.1,0.5,3.8,3.4,2.1,1.5,2.6,2.3,3.6,1.7/)
>>>>>>>>   wks = gsn_open_wks("png","hist")
>>>>>>>>   res = True
>>>>>>>>   res at gsnHistogramBinIntervals = (/0,1,2,3,4/)
>>>>>>>>   plot = gsn_histogram(wks,y,res)
>>>>>>>>
>>>>>>>> Note I used intervals of (0,1,2,3,4)
>>>>>>>>
>>>>>>>> You should see a histogram with four bars:
>>>>>>>>
>>>>>>>>   First bar  = 1 b/c we have one value    >=0 and < 1
>>>>>>>>   Second bar = 2 b/c we have two values   >=1 and < 2
>>>>>>>>   Third bar  = 3 b/c we have three values >=2 and < 3
>>>>>>>>   Fourth bar = 4 b/c we have four values  >=3 and <=4
>>>>>>>>
>>>>>>>> Note the last bar is special, because it contains all values
>>>>>>>> less-than-or-equal-to the last interval.
>>>>>>>>
>>>>>>>> We do have a single meteogram example, and several bar chart
>>>>>>>> examples, if you simply want to draw bars instead of XY plots.
>>>>>>>>
>>>>>>>> See:
>>>>>>>>
>>>>>>>> http://www.ncl.ucar.edu/Applications/bar.shtml
>>>>>>>> http://www.ncl.ucar.edu/Applications/meteo.shtml
>>>>>>>>
>>>>>>>> --Mary
>>>>>>>>
>>>>>>>>
>>>>>>>>
>>>>>>>> On Tue, Nov 21, 2017 at 7:08 AM, Barry Lynn <barry.h.lynn at gmail.com
>>>>>>>> > wrote:
>>>>>>>>
>>>>>>>>> Mary:
>>>>>>>>>
>>>>>>>>> Thank you for the suggestions yesterday.  The histogram looks okay
>>>>>>>>> now.
>>>>>>>>>
>>>>>>>>> I'd like to bring to your attention a couple of things.
>>>>>>>>>
>>>>>>>>> 1) I believe that the examples you have on the site do not
>>>>>>>>> necessarily (as is) plot histograms typically drawn in meteorological
>>>>>>>>> papers. For instance, when I originally tried to just plot the data in
>>>>>>>>> mod_x and obs_x using the standard examples it didn't work.  For this
>>>>>>>>> reason, I created intervals of data whose index is the interval value and
>>>>>>>>> the number of times the index value appears is equal the value of the data
>>>>>>>>> (obs_x or obs_y) within.
>>>>>>>>>
>>>>>>>>> For instance, if there is an interval with 10001 grids with dBZ
>>>>>>>>> values (radar reflectivity) within this interval then that index will have
>>>>>>>>> 10001 values, all equal to the value of the index.
>>>>>>>>>
>>>>>>>>> 2) I do this with this loop and am wondering if there is an more
>>>>>>>>> concise way to write it.
>>>>>>>>>
>>>>>>>>>   i_num = 0
>>>>>>>>>
>>>>>>>>>   i_end = 0
>>>>>>>>>
>>>>>>>>>   i_beg = 0
>>>>>>>>>
>>>>>>>>>   do i_int = 0,dims_obs_x-1
>>>>>>>>>
>>>>>>>>>   i_end = i_beg + floattointeger(obs_x(i_int))
>>>>>>>>>
>>>>>>>>>   do x_int = i_beg,i_end-1
>>>>>>>>>
>>>>>>>>>   x_new(i_num) = i_int
>>>>>>>>>
>>>>>>>>>   i_num = i_num + 1
>>>>>>>>>
>>>>>>>>>   end do
>>>>>>>>>
>>>>>>>>>   if (i_beg.eq.i_end)then
>>>>>>>>>
>>>>>>>>>    x_new(i_num) = i_int
>>>>>>>>>
>>>>>>>>>    i_num = i_num + 1
>>>>>>>>>
>>>>>>>>>   end if
>>>>>>>>>
>>>>>>>>>   i_beg = i_end
>>>>>>>>>
>>>>>>>>>   end do
>>>>>>>>>
>>>>>>>>>
>>>>>>>>> 3) If I take your program and substitute my data (num_x) at the
>>>>>>>>> top I get the strange figure attached (00002.png).  We're I to put this
>>>>>>>>> data into a typical graphing program, the data would come out correctly as
>>>>>>>>> histo_mod.pdf.
>>>>>>>>>
>>>>>>>>>
>>>>>>>>> Perhaps I've overlooked something?
>>>>>>>>>
>>>>>>>>>
>>>>>>>>> Thanks,
>>>>>>>>>
>>>>>>>>>
>>>>>>>>> Barry
>>>>>>>>>
>>>>>>>>> On Mon, Nov 20, 2017 at 7:19 PM, Mary Haley <haley at ucar.edu>
>>>>>>>>> wrote:
>>>>>>>>>
>>>>>>>>>> Barry,
>>>>>>>>>>
>>>>>>>>>> You don't want to use discrete bin intervals, unless you are
>>>>>>>>>> wanting to count the # of values *exactly equal* to a value.
>>>>>>>>>>
>>>>>>>>>> For a range of values, use gsnHistogramBinIntervals.
>>>>>>>>>>
>>>>>>>>>> Please read over the histogram page carefully, because we have
>>>>>>>>>> many examples on this page that talk about the different histogram options.
>>>>>>>>>>
>>>>>>>>>> As I think I mentioned before, I updated example histo_2.ncl to
>>>>>>>>>> show how to explicitly request an array of bin intervals.
>>>>>>>>>>
>>>>>>>>>> Run the attached script, will hopefully illustrate the difference
>>>>>>>>>> between gsnHistogramBinIntervals and gsnHistogramDiscreteBinValues.
>>>>>>>>>>
>>>>>>>>>> --Mary
>>>>>>>>>>
>>>>>>>>>>
>>>>>>>>>> On Mon, Nov 20, 2017 at 8:54 AM, Barry Lynn <
>>>>>>>>>> barry.h.lynn at gmail.com> wrote:
>>>>>>>>>>
>>>>>>>>>>> Hello:
>>>>>>>>>>>
>>>>>>>>>>> I found the coding lines that allows me to map the number of
>>>>>>>>>>> intervals, explicitly.  I found the coding lines that allow me to specify
>>>>>>>>>>> how many of the labels I want to map.
>>>>>>>>>>>
>>>>>>>>>>> That's here:
>>>>>>>>>>>
>>>>>>>>>>> https://www.ncl.ucar.edu/Applications/Scripts/histo_3.ncl
>>>>>>>>>>>
>>>>>>>>>>>  res at tmXBLabelStride                = 2     ; every other x-label
>>>>>>>>>>>   res at gsnHistogramDiscreteBinValues  = ispan(0,25,1)
>>>>>>>>>>>
>>>>>>>>>>> However, I don't see how to change the number of labels to be
>>>>>>>>>>> different from their default number, which equals the number of tmXBValues.
>>>>>>>>>>>
>>>>>>>>>>> I need to set the latter so that I can add more than 9 labels.
>>>>>>>>>>>
>>>>>>>>>>> Thank you
>>>>>>>>>>>
>>>>>>>>>>>
>>>>>>>>>>> (0) res at tmXBLabels = -9
>>>>>>>>>>>
>>>>>>>>>>> (1) res at tmXBLabels = 0
>>>>>>>>>>>
>>>>>>>>>>> (2) res at tmXBLabels = 9
>>>>>>>>>>>
>>>>>>>>>>> (3) res at tmXBLabels = 18
>>>>>>>>>>>
>>>>>>>>>>> (4) res at tmXBLabels = 27
>>>>>>>>>>>
>>>>>>>>>>> (5) res at tmXBLabels = 36
>>>>>>>>>>>
>>>>>>>>>>> (6) res at tmXBLabels = 45
>>>>>>>>>>>
>>>>>>>>>>> (7) res at tmXBLabels = 54
>>>>>>>>>>>
>>>>>>>>>>> (8) res at tmXBLabels = 63
>>>>>>>>>>>
>>>>>>>>>>> (0) tmXBValues = 0.0555556
>>>>>>>>>>>
>>>>>>>>>>> (1) tmXBValues = 0.166667
>>>>>>>>>>>
>>>>>>>>>>> (2) tmXBValues = 0.277778
>>>>>>>>>>>
>>>>>>>>>>> (3) tmXBValues = 0.388889
>>>>>>>>>>>
>>>>>>>>>>> (4) tmXBValues = 0.5
>>>>>>>>>>>
>>>>>>>>>>> (5) tmXBValues = 0.611111
>>>>>>>>>>>
>>>>>>>>>>> (6) tmXBValues = 0.722222
>>>>>>>>>>>
>>>>>>>>>>> (7) tmXBValues = 0.833333
>>>>>>>>>>>
>>>>>>>>>>> (8) tmXBValues = 0.944444
>>>>>>>>>>>
>>>>>>>>>>> On Mon, Nov 20, 2017 at 3:01 PM, Barry Lynn <
>>>>>>>>>>> barry.h.lynn at gmail.com> wrote:
>>>>>>>>>>>
>>>>>>>>>>>> Hi:
>>>>>>>>>>>>
>>>>>>>>>>>> I can get the labels to display correctly if I use:
>>>>>>>>>>>>
>>>>>>>>>>>> res at tmXBLabels = int_radar(::3)
>>>>>>>>>>>>
>>>>>>>>>>>>
>>>>>>>>>>>> However, the histogram program is amalgamating the smaller bins
>>>>>>>>>>>> into 10 sized default bins.
>>>>>>>>>>>>
>>>>>>>>>>>>
>>>>>>>>>>>> I would hope that there is a way to explicitly tell the
>>>>>>>>>>>> histogram program to use all the interval data (23 intervals.
>>>>>>>>>>>>
>>>>>>>>>>>>
>>>>>>>>>>>> I tried setting:
>>>>>>>>>>>>
>>>>>>>>>>>>
>>>>>>>>>>>> res at tmXBMode        = "Manual"
>>>>>>>>>>>>
>>>>>>>>>>>> and creating manual tick marks, but then my histogram labels go
>>>>>>>>>>>> only from 0 to 1.
>>>>>>>>>>>>
>>>>>>>>>>>>
>>>>>>>>>>>> As below.
>>>>>>>>>>>>
>>>>>>>>>>>>
>>>>>>>>>>>>  rad_inc = 3./(int_radar(dimsizes(int_radar)-1)+10)
>>>>>>>>>>>>
>>>>>>>>>>>>   print("rad_inc  = " +rad_inc)
>>>>>>>>>>>>
>>>>>>>>>>>>   new_ticks = new(dimsizes(int_radar),float)
>>>>>>>>>>>>
>>>>>>>>>>>>   new_ticks(0)= 0
>>>>>>>>>>>>
>>>>>>>>>>>>   do inc = 1,dimsizes(int_radar)-1,1
>>>>>>>>>>>>
>>>>>>>>>>>>    new_ticks(inc) = new_ticks(inc-1)+rad_inc
>>>>>>>>>>>>
>>>>>>>>>>>>   end do
>>>>>>>>>>>>
>>>>>>>>>>>>   print("new_ticks = " + new_ticks)
>>>>>>>>>>>>
>>>>>>>>>>>>   res at tmXBValues := new_ticks
>>>>>>>>>>>>
>>>>>>>>>>>>   res at tmXBLabels := int_radar
>>>>>>>>>>>>
>>>>>>>>>>>> On Sun, Nov 19, 2017 at 9:21 PM, Barry Lynn <
>>>>>>>>>>>> barry.h.lynn at gmail.com> wrote:
>>>>>>>>>>>>
>>>>>>>>>>>>> Hi:
>>>>>>>>>>>>>
>>>>>>>>>>>>> I am having trouble figuring out why my histo.ncl program
>>>>>>>>>>>>> won't plot data beyond value (x-axis) of 15.  This is really dbz data, so
>>>>>>>>>>>>> the range is correct: -9 to 60.
>>>>>>>>>>>>>
>>>>>>>>>>>>> I also checked that the labels are present in:
>>>>>>>>>>>>>
>>>>>>>>>>>>> res at tmXBLabels = int_radar
>>>>>>>>>>>>>
>>>>>>>>>>>>>
>>>>>>>>>>>>> and the data dimensions are correct (23 elements).
>>>>>>>>>>>>>
>>>>>>>>>>>>> However, I don't see any data (and any labels 18-60)
>>>>>>>>>>>>> indicating that the data has all been displayed.
>>>>>>>>>>>>>
>>>>>>>>>>>>> Thank you,
>>>>>>>>>>>>>
>>>>>>>>>>>>> Barry
>>>>>>>>>>>>>
>>>>>>>>>>>>> --
>>>>>>>>>>>>> Barry H. Lynn, Ph.D
>>>>>>>>>>>>> Senior Lecturer,
>>>>>>>>>>>>> The Institute of the Earth Science,
>>>>>>>>>>>>> The Hebrew University of Jerusalem,
>>>>>>>>>>>>> Givat Ram, Jerusalem 91904, Israel
>>>>>>>>>>>>> Tel: 972 547 231 170
>>>>>>>>>>>>> Fax: (972)-25662581
>>>>>>>>>>>>>
>>>>>>>>>>>>> C.E.O, Weather It Is, LTD
>>>>>>>>>>>>> Weather and Climate Focus
>>>>>>>>>>>>> http://weather-it-is.com
>>>>>>>>>>>>> Jerusalem, Israel
>>>>>>>>>>>>> Local: 02 930 9525
>>>>>>>>>>>>> Cell: 054 7 231 170
>>>>>>>>>>>>> Int-IS: x972 2 930 9525
>>>>>>>>>>>>> US 914 432 3108 <(914)%20432-3108>
>>>>>>>>>>>>>
>>>>>>>>>>>>
>>>>>>>>>>>>
>>>>>>>>>>>>
>>>>>>>>>>>> --
>>>>>>>>>>>> Barry H. Lynn, Ph.D
>>>>>>>>>>>> Senior Lecturer,
>>>>>>>>>>>> The Institute of the Earth Science,
>>>>>>>>>>>> The Hebrew University of Jerusalem,
>>>>>>>>>>>> Givat Ram, Jerusalem 91904, Israel
>>>>>>>>>>>> Tel: 972 547 231 170
>>>>>>>>>>>> Fax: (972)-25662581
>>>>>>>>>>>>
>>>>>>>>>>>> C.E.O, Weather It Is, LTD
>>>>>>>>>>>> Weather and Climate Focus
>>>>>>>>>>>> http://weather-it-is.com
>>>>>>>>>>>> Jerusalem, Israel
>>>>>>>>>>>> Local: 02 930 9525
>>>>>>>>>>>> Cell: 054 7 231 170
>>>>>>>>>>>> Int-IS: x972 2 930 9525
>>>>>>>>>>>> US 914 432 3108 <(914)%20432-3108>
>>>>>>>>>>>>
>>>>>>>>>>>
>>>>>>>>>>>
>>>>>>>>>>>
>>>>>>>>>>> --
>>>>>>>>>>> Barry H. Lynn, Ph.D
>>>>>>>>>>> Senior Lecturer,
>>>>>>>>>>> The Institute of the Earth Science,
>>>>>>>>>>> The Hebrew University of Jerusalem,
>>>>>>>>>>> Givat Ram, Jerusalem 91904, Israel
>>>>>>>>>>> Tel: 972 547 231 170
>>>>>>>>>>> Fax: (972)-25662581
>>>>>>>>>>>
>>>>>>>>>>> C.E.O, Weather It Is, LTD
>>>>>>>>>>> Weather and Climate Focus
>>>>>>>>>>> http://weather-it-is.com
>>>>>>>>>>> Jerusalem, Israel
>>>>>>>>>>> Local: 02 930 9525
>>>>>>>>>>> Cell: 054 7 231 170
>>>>>>>>>>> Int-IS: x972 2 930 9525
>>>>>>>>>>> US 914 432 3108 <(914)%20432-3108>
>>>>>>>>>>>
>>>>>>>>>>> _______________________________________________
>>>>>>>>>>> ncl-talk mailing list
>>>>>>>>>>> ncl-talk at ucar.edu
>>>>>>>>>>> List instructions, subscriber options, unsubscribe:
>>>>>>>>>>> http://mailman.ucar.edu/mailman/listinfo/ncl-talk
>>>>>>>>>>>
>>>>>>>>>>>
>>>>>>>>>>
>>>>>>>>>
>>>>>>>>>
>>>>>>>>> --
>>>>>>>>> Barry H. Lynn, Ph.D
>>>>>>>>> Senior Lecturer,
>>>>>>>>> The Institute of the Earth Science,
>>>>>>>>> The Hebrew University of Jerusalem,
>>>>>>>>> Givat Ram, Jerusalem 91904, Israel
>>>>>>>>> Tel: 972 547 231 170
>>>>>>>>> Fax: (972)-25662581
>>>>>>>>>
>>>>>>>>> C.E.O, Weather It Is, LTD
>>>>>>>>> Weather and Climate Focus
>>>>>>>>> http://weather-it-is.com
>>>>>>>>> Jerusalem, Israel
>>>>>>>>> Local: 02 930 9525
>>>>>>>>> Cell: 054 7 231 170
>>>>>>>>> Int-IS: x972 2 930 9525
>>>>>>>>> US 914 432 3108 <(914)%20432-3108>
>>>>>>>>>
>>>>>>>>
>>>>>>>>
>>>>>>>
>>>>>>>
>>>>>>> --
>>>>>>> Barry H. Lynn, Ph.D
>>>>>>> Senior Lecturer,
>>>>>>> The Institute of the Earth Science,
>>>>>>> The Hebrew University of Jerusalem,
>>>>>>> Givat Ram, Jerusalem 91904, Israel
>>>>>>> Tel: 972 547 231 170
>>>>>>> Fax: (972)-25662581
>>>>>>>
>>>>>>> C.E.O, Weather It Is, LTD
>>>>>>> Weather and Climate Focus
>>>>>>> http://weather-it-is.com
>>>>>>> Jerusalem, Israel
>>>>>>> Local: 02 930 9525
>>>>>>> Cell: 054 7 231 170
>>>>>>> Int-IS: x972 2 930 9525
>>>>>>> US 914 432 3108 <(914)%20432-3108>
>>>>>>>
>>>>>>
>>>>>>
>>>>>>
>>>>>> --
>>>>>> Barry H. Lynn, Ph.D
>>>>>> Senior Lecturer,
>>>>>> The Institute of the Earth Science,
>>>>>> The Hebrew University of Jerusalem,
>>>>>> Givat Ram, Jerusalem 91904, Israel
>>>>>> Tel: 972 547 231 170
>>>>>> Fax: (972)-25662581
>>>>>>
>>>>>> C.E.O, Weather It Is, LTD
>>>>>> Weather and Climate Focus
>>>>>> http://weather-it-is.com
>>>>>> Jerusalem, Israel
>>>>>> Local: 02 930 9525
>>>>>> Cell: 054 7 231 170
>>>>>> Int-IS: x972 2 930 9525
>>>>>> US 914 432 3108 <(914)%20432-3108>
>>>>>>
>>>>>> _______________________________________________
>>>>>> ncl-talk mailing list
>>>>>> ncl-talk at ucar.edu
>>>>>> List instructions, subscriber options, unsubscribe:
>>>>>> http://mailman.ucar.edu/mailman/listinfo/ncl-talk
>>>>>>
>>>>>>
>>>>>
>>>>>
>>>>> --
>>>>> Adam Phillips
>>>>> Associate Scientist,  Climate and Global Dynamics Laboratory, NCAR
>>>>> www.cgd.ucar.edu/staff/asphilli/   303-497-1726 <(303)%20497-1726>
>>>>>
>>>>> <http://www.cgd.ucar.edu/staff/asphilli>
>>>>>
>>>>
>>>>
>>>> _______________________________________________
>>>> ncl-talk mailing list
>>>> ncl-talk at ucar.edu
>>>> List instructions, subscriber options, unsubscribe:
>>>> http://mailman.ucar.edu/mailman/listinfo/ncl-talk
>>>>
>>>>
>>>
>>>
>>> --
>>> Adam Phillips
>>> Associate Scientist,  Climate and Global Dynamics Laboratory, NCAR
>>> www.cgd.ucar.edu/staff/asphilli/   303-497-1726 <(303)%20497-1726>
>>>
>>> <http://www.cgd.ucar.edu/staff/asphilli>
>>>
>>
>>
>>
>> --
>> Barry H. Lynn, Ph.D
>> Senior Lecturer,
>> The Institute of the Earth Science,
>> The Hebrew University of Jerusalem,
>> Givat Ram, Jerusalem 91904, Israel
>> Tel: 972 547 231 170
>> Fax: (972)-25662581
>>
>> C.E.O, Weather It Is, LTD
>> Weather and Climate Focus
>> http://weather-it-is.com
>> Jerusalem, Israel
>> Local: 02 930 9525
>> Cell: 054 7 231 170
>> Int-IS: x972 2 930 9525
>> US 914 432 3108 <(914)%20432-3108>
>>
>
>


-- 
Barry H. Lynn, Ph.D
Senior Lecturer,
The Institute of the Earth Science,
The Hebrew University of Jerusalem,
Givat Ram, Jerusalem 91904, Israel
Tel: 972 547 231 170
Fax: (972)-25662581

C.E.O, Weather It Is, LTD
Weather and Climate Focus
http://weather-it-is.com
Jerusalem, Israel
Local: 02 930 9525
Cell: 054 7 231 170
Int-IS: x972 2 930 9525
US 914 432 3108
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