How to plot a graph that has two x-axis?

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Bum
Bum on 29 Dec 2012
Commented: Priyank Sharma on 16 May 2016
I want to plot Extreme Value Type I,II,III distribution curve. How can I plot a graph that has two x-axis? One x-axis(main) which is 'reduced variate' is linear and the other x-axis(sub) which is 'year' is non-linear. It looks like as below.
one x-axis(main): reduced variate
-------------------------------------------
-2 -1 0 1 2 3 4 5 6
the other x-axis(sub): year
-----------------------
2 5 10 20 50 100
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Priyank Sharma
Priyank Sharma on 16 May 2016
I am also in search of the solution. If you find one, kindly share with me... My mail id is pjs230688@gmail.com

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Answers (3)

Walter Roberson
Walter Roberson on 29 Dec 2012
In the File Exchange, you will find plotxx
  5 Comments
Walter Roberson
Walter Roberson on 31 Dec 2012
Which do you consider your "main" axis, and which do you consider your "sub" axis? "Which" in the sense of which one is to be the upper axis and which one is to be the lower axis?
When you speak of "transformed", is that a log() transformation? You have already said it was non-linear, but you did not indicate whether that meant "log" ?
If the user clicks on points using the data cursor, then which values should be shown to them, the "transformed" values or the "original" values?
The (x,y) that you have available to plot: are those the already-transformed values or are they the "original" values?
Bum
Bum on 31 Dec 2012
Sorry for my poor explanation. (1) The main axis(lower axis) is transformed axis and the sub axis(upper axis) is original axis. (2) The relationship between original x-axis(T) and transformed x-axis(Xt) is Xt=-ln[ln(T/(T-1)] (3) If I click on points, is it possible to show both transformed and original values? If it's impossible it is okay to show the transformed values. (4) The (x,y) that I want to plot is transformed values.

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Scott
Scott on 31 Dec 2012
You have to be a little creative. I would start with the explanation at http://www.mathworks.com/help/matlab/creating_plots/using-multiple-x-and-y-axes.html. This isn't quite your case, but it explains how to do the overlays. You would plot the function twice on the two different axes. Then on the second one, you would need to use the 'XTick' and 'XTickLabel' properties to display the second axis as you described.

Malcolm Lidierth
Malcolm Lidierth on 31 Dec 2012
With Waterloo graphics, you can have any number of layered graphs each with independent axes (linear, log etc):
For MATLAB examples see:
For the project website see:

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