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Taylor Diagram

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Taylor Diagram


Guillaume MAZE (view profile)


02 Jul 2008 (Updated )

Plot a Taylor Diagram

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Plot a Taylor diagram from statistics values given by STDs (standard deviations), RMSs (centered root mean square difference) and CORs (correlation)

Ref: K. Taylor
Summarizing multiple aspects of model performance in a single diagram. JGR 2001


This file inspired Peter Rochford/Skill Metrics Toolbox.

MATLAB release MATLAB 7.5 (R2007b)
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Comments and Ratings (53)
27 Feb 2017 novvria sagita

HI , how to set range standar deviation from 0 until reference ?

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13 Feb 2017 Meriem Deli


I tried to plot with the taylordiag_test.m but I get this error

Undefined function 'taylordiag' for input arguments of type 'double'.

Error in taylordiag_test (line 77)
[pp tt axl] =

How to fix it please
many thanks

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10 Feb 2017 Guillaume MAZE

Guillaume MAZE (view profile)

To people looking for ptable.m and allstats.m, they are now on github:
and here:

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24 Jan 2017 invain

invain (view profile)

10 Jan 2017 Kishore Grandhi

The sub functions are missing

21 Dec 2016 Bian

Bian (view profile)

Hi, could you please guide me to the location where you have saved ptable.m and allstat.m? Thank you very much!

14 Nov 2016 Simon Lind

10 Nov 2016 Kavina Dayal

Hi, could you please guide me to the location where you have saved ptable.m and allstat.m. I tried this link
but the files are no longer there.

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25 Oct 2016 Annu Panwar

How to create a semicircle taylor's diagram in which Vertical radius is RMSE, The horizontal diameter of semicircle is BIAS which is positive and negative both. Correlation is positive.

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12 Sep 2016 Robert Waters

26 May 2016 Kadek Nova

anyone can help me
where i can download ptable.m and allstats.m ??

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25 May 2016 Pierluca D'Agnese

When I run the test I got this error
"Undefined function 'ptable' for input arguments of type 'double'."

Do you know how I can solve this problem?

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04 May 2016 Carlos

Carlos (view profile)


I am a new user of Matlab, however I want to do a Taylor diagram. I already have the figures of the three variables (STD,RMS and Coorrelation factor)

Could you please help me?

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27 Apr 2016 Rita

Rita (view profile)

Thanks I got it.

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27 Apr 2016 Rita

Rita (view profile)

Thanks a lot for sharing!
When I run your test I got this error
"Undefined function 'ptable' for input arguments of type 'double'."
Any advice would be appreciated

04 Nov 2015 Hazel

Hazel (view profile)

Hi, thanks for the code.

I've had to normalize my statistics to the observations as I'm looking at various models with different time periods. Is there a way to edit the axis labels so that I can get it to say 'Standard deviation (normalized)' like in I found the warning in draw_blank_TaylorDiag.m which says do not touch!

Many thanks

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21 Jun 2015 Shruti

Shruti (view profile)

I am getting the following error when I run the function. Can someone suggest any solutio for this?

Error using text
Invalid parameter/value pair arguments

Error in taylordiag (line 281)
text((i+rincRMS/20)*c82+dx,(i+rincRMS/20)*s82, ...

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21 May 2015 pioneer

At last i got it! thanks to Guillaume,for the scripts.Glory to God!

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18 May 2015 pioneer

please i have tried to make Taylor diagrams for a whole week ! can some one help me.Moving from mat lab to R program.So desperate!

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01 Dec 2014 Jamie Wilson

05 Aug 2014 Sagar

Sagar (view profile)

I am using the function 'taylordiag' as follows:
[ hp, ht, axl ] = taylordiag ( stn { 1 } (2, : ), stn { 1 } ( 3, : ), stn { 1 } ( 4, : ) );

where stn is a 1*23 cell. I need to execute the function 'taylordiag' in each cells i.e. in stn { 1 }, stn { 2 } .... stn { 23 }, so that I can plot all the points that I need in the same plot obtained by executing 'taylordiag'.

Could you please suggest how to do this?

Thank you,


25 Jul 2014 Xingwang

30 Apr 2014 Kelly Kearney

Kelly Kearney (view profile)

Very helpful function. My only issue is that the font sizes are difficult to alter. The axis labels inherit from the original axis, but the tick labels themselves are hardcoded and their handles are hidden on creation, so one can't alter that later.

08 Mar 2014 Gino

Gino (view profile)

Dear Guillaume,

Thanks for your function, it is indeed very useful. I have a little issue for plotting multiple stations in 1 graph. Let say, I have the following matrices:


1.69 1.2771
2.7889 2.393
2.5981 2.1398
1.5963 0.97035


0 1.1754
0 1.8935
0 1.9204
0 1.1649


1 0.71945
1 0.74311
1 0.68721
1 0.68843

With the Standard Deviation (STD_A), RMS (RMS_A), correlations (CORR_A) for four stations. The statistics where obtained using allstats, so:

STD_A(1,:) correspond to the standard deviations obtained via allstats for station # 1,

STD_A(2,:) correspond to the standard deviations obtained via allstats for station # 2, and so on. The same is for RMS_A and CORR_A.

When I try to plot the stations on the same plot, using different colors and markers, the axes after the first plot do not coincide, so the RMS lines and position of the points in the plot are off. I try to play with the axes but it did not work. I know a little bit of MATLAB, but I don't consider myself an expert.

I will really appreciate if you could help me out with this and suggest a way that I could plot all the stations in one plot, so when I plot them the axes from all the plots coincide. I understand that I will have 4 'Obs' point in the X axis, that's what I was trying to do and I would differentiate them by changing colors.

This is a little bit different from the example you have on your short tutorial and on taylordiag_test , because I have 4 different stations in which on each of them I'm comparing observations with model data, and not comparing just one 'Obs' time series with different reanalysis data.

Here's the code that I've being using:

STD_A=[1.69 1.2771; 2.7889 2.393;2.5981 2.1398; 1.5963 0.97035];

RMS_A = [0 1.1754; 0 1.8935;0 1.9204;0 1.1649];

CORR_A=[1 0.71945;1 0.74311;1 0.68721;1 0.68843];

% Main code for Taylor Diagram

% Plotting 1st Station

[pp tt axl]=taylordiag(STD_A(1,:),RMS_A(1,:),CORR_A(1,:),...
'tickCOR',[.1:.1:.9 .95 .99],'showlabelsCOR',1,'titleCOR',1);

% Deals with names, colors and size of markers for 1st Station

for ii = 1 : length(tt)
if ii == 1

title(sprintf('Buoy vs WRF: Temperature at 2m'),'fontweight','bold',...

% Deals with Axes of Taylor Diagram

tt = axl(2).handle;
for ii = 1 : length(tt)


% Get info about the current axes to use on all the other axes

nPos = get( gca, 'position' );
nAx = axis();

% Create all the other overlapping Taylor diagrams


for kk=2:rr

% Create the new axes
axes( 'position', nPos );

[pp tt axl]=taylordiag(squeeze(STD_A(kk,:)),squeeze(RMS_A(kk,:)),squeeze(CORR_A(kk,:)),...
'tickCOR',[.1:.1:.9 .95 .99],'showlabelsCOR',1,'titleCOR',1);

% Deals with names, colors and size of markers CMPCH

for ii = 1 : length(tt)
if ii == 1


% Deals with names, colors and size of markers CMPCH

for ii = 1 : length(tt)
if ii == 1

% set the first axes show through & line up the axis limits
set( gca, 'visible', 'off' );
axis( gca, nAx );


Thank you very much and any suggestion will be greatly appreciate.

Best Regards,


22 Sep 2013 Sarah

Sarah (view profile)

I have the same problem as what ulas im described in May.
Thank you.

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15 Sep 2013 kouekk

kouekk (view profile)

Hi, I want to know to do a Taylor diagram

Am a new user of matlab

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30 May 2013 ulas im


I am trying to use your code to plot a taylor diagram for the below matrix that contains the observations on the first row and 2 sets of models in the other rows:

63.6218 18.6781 0 1.0000
68.3743 19.1750 18.2357 0.5283 50.4187 17.7198 16.2621 0.8528 33.6676 12.4900 32.3996 0.7256
However i am getting the following error:

Error using taylordiag (line 110) taylordiag.m : Something's wrong with data indice(s): 2? You must have: RMSs - sqrt(STDs.2 + STDs(1)2 - 2*STDs*STDs(1).CORs) = 0 !taylordiag.m : Something's wrong with data indice(s): 3? You must have: RMSs - sqrt(STDs.2 + STDs(1)2 - 2*STDs*STDs(1).CORs) = 0 !taylordiag.m : Something's wrong with data indice(s): 4? You must have: RMSs - sqrt(STDs.2 + STDs(1)2 - 2*STDs*STDs(1).CORs) = 0 !

can you help me on this please

thank you

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12 Jun 2012 Josh

Josh (view profile)

This is a great function. However I am experiencing the same issue as Lang (above). I can get the function to work with my model output, but it seems to only plot the std and corr. The RMSE lines appear on the diagram, but does not relate...Does anyone else agree and perhaps have an answer?

16 Mar 2012 Aisling

This is a brilliant function. However, I am struggling to get the correlation lines eminating from the origin to plot when the correlation is negative (the points plot perfectly). Is there a way of doing this? Thanks.

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06 Mar 2012 Ming Chen

Hi all, I can plot the diagram with only positive correlations. However, when I tried to plot both positive and negative correlations (Npan=2) with the same data, I got this error message:
??? Error using ==> set
Value must be numeric.

Error in ==> xlabel at 43
set(h, 'FontAngle', get(ax, 'FontAngle'), ...

Error in ==> xlabel at 22
h = xlabel(gca,varargin{:});

Error in ==> taylordiag at 399
ax(ix).handle =xlabel('Standard deviation','fontweight',axlabweight,...

Error in ==> All_3_years at 601
[hp ht axl] = taylordiag(STD_G21_08,RMS_G21_08,COR_G21_08,'Npan',2,'tickSTD',(0:0.25:1.5));

Is there anybody who has the same problem?

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20 Feb 2012 Lang

Lang (view profile)

I could plot using example data sets. But there is no information of rmsd on plot other than some green lines. Whether the rmsd intervals label on the plot?

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08 Feb 2012 Ming Chen

This is very handy! Thanks to Guillaume MAZE!

16 Dec 2011 ww

ww (view profile)

I cant get the example to even work.. I have the latest allstats..

>> statm(:,2)
??? Index exceeds matrix dimensions.

16 Dec 2011 ww

ww (view profile)

07 Nov 2011 Benrique

aMAZEing. Thanks heaps.

19 Sep 2011 museum

museum (view profile)

It succeed now, thanks MAZE!

19 Sep 2011 Guillaume MAZE

Guillaume MAZE (view profile)

New ptable and allstats location:

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19 Sep 2011 museum

museum (view profile)

Sorry, MAZE, I meet the same problem with jenny, and I found the generated 'Statm' matrix is 5x1, not 5x4....The matlab version I used is 7.0

15 Jul 2011 Q.

Q. (view profile)

Page "matlab_routines_allstats" Not Found

So, you move to another places? why not put the test data here?


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18 Feb 2011 Guillaume MAZE

Guillaume MAZE (view profile)

To Jenny and others having the same problem,
If you get the error message about: "Something's wrong with the datas", this is because the statistics are wrong and trigonometric relations are wrong as well, see my comment from Jul.28th.
If you also have an error message running the test script, I can't figure out why it would be. The 'statm' matrix should be 5x4. I tried this test on many different platforms, removing all my custom path, etc. and it always works fine. The only reason why you would have an error and I can think about is that somewhere in your path a function overwrites something done in the script which makes it to behave not as expected.
So, please be sure you have the correct test datas and routines. To run the test you'll also need these two functions:

Comment only

i am getting the same problem as jenny????
Any one know how to solve this?????


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14 Sep 2010 Georgina

28 Jul 2010 Guillaume MAZE

Guillaume MAZE (view profile)

The whole idea of a Taylor diagram is the triangulation of a point given statistical properties it represents in a trigonometric context. A point needs only 2 parameters to be placed in the 2D diagram but we have 3 parameters which can be used. RMSd is therefore not used to plot the point but statistics/trigonometry requirements are checked and require RMSd.

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28 Jul 2010 Carlos

Carlos (view profile)

Hi, I noted that the script doesn't use the RMSd value for drawing the lines or placing the dots. What's wrong with it?

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19 Jan 2010 Roberto Venegas

Hi, Can anybody let me know where I can get the subroutine allstats, I tried to get this from here:

but doesnt work.

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12 Dec 2009 Mariac Valverde Brambila

I agree with Jenny

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26 Nov 2009 Jenny

Jenny (view profile)

Hi Ben!

You can get the ptable script here:

However, I still can't get the script to work. not with my own data and not with the example.

With my own data I get something like this:
??? Error using ==> taylordiag at 85
taylordiag.m : Something's wrong with the datas

With the example the error message is:
??? Index exceeds matrix dimensions.

Error in ==> taylordiag_test at 77
[pp tt axl] =

Does anyone know what is wrong?
I think I've misunderstood something about what input to give the script...


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26 Nov 2009 Ben

Ben (view profile)

Thank you for the nice script and the examples.
I just have one question. What kind of function is the 'ptable' in the example: ax = ptable([2 3],[2 2;4 6]);
Cheers Ben

25 Sep 2009 Guillaume MAZE

Guillaume MAZE (view profile)

You'll find bellow links to .mat file with datas you can use to test the routine, and with the scripts I used myself to plot these datas (they are daily time series of sea surface net heat flux at a mooring in the North Atlantic, and results from numerical models to compare with)

hope this will be helpful

.mat file is here:
the example is here:

ps: I use the subroutine allstats in this peace of code to make things easier, you can get it here:

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26 Aug 2009 Damian Brady

I agree with Georgina!

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09 Aug 2009 Georgina

Does anyone have an example of the inputs required for this script. I am having trouble with it.
I get "Something''s wrong with the datas"
I think it is because I don't understand what is supposed to be in the 1st row of of each of the arrays.

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24 Sep 2008 C Schwalm

I had started to code this up myself, now I don't have to... These plots are wonderful for diagnostics and comparing numerous models. Well done.

04 Jul 2008 Pierre Hubertin Andrianirina

10 Feb 2010 1.1

I made the help, well, more helpful regarding all the comments ! I also added a complete example in the zip file.

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