I have a graph obtained using ListPlot. What I plot goes between -1000 and +75.

I would like to construct a graph showing the whole range, with a scale such that what is between 0 and 100 takes about the same place as what is between -1000 and 0. To have something like that (for the vertical axis):

enter image description here

Would you have an idea I could use to avoid doing that "by hand"?

Thanks a lot.

  • $\begingroup$ What if you add PlotRange -> All? $\endgroup$ Commented Feb 3, 2021 at 14:00
  • $\begingroup$ "What I plot goes between -1000 and +75" are you referring to the horizontal or vertical scale here? Can you show an example with code and data? $\endgroup$
    – MarcoB
    Commented Feb 3, 2021 at 14:01
  • $\begingroup$ @J.M.: thanks a lot. I have included a figure to better illustrate what I want to do. $\endgroup$ Commented Feb 3, 2021 at 14:27
  • $\begingroup$ @MarcoB: thanks a lot. The range I was referring to was the vertical axis. I just added a figure I made to illustrate what I am trying to do. I hope it clarifies it. $\endgroup$ Commented Feb 3, 2021 at 14:29
  • 1
    $\begingroup$ @Laurent I think you might consider a log plot (e.g. ListLogPlot) after rescaling your data so it is no longer negative (e.g. by adding a positive constant to it?). I am also concerned that the readability of your proposed plot would be very poor: the reader's eye would be greatly deceived by your subtle and non-standard change in scale. $\endgroup$
    – MarcoB
    Commented Feb 3, 2021 at 15:33

1 Answer 1


Use the ScalingFunctions option



data = Table[{RandomReal[10], RandomReal[{-1000, 100}]}, {20}];

f = If[# > 0, 10 #, #] &;

 PlotRange -> {-1000, 100},
 Ticks -> {Automatic, 
   Join[Range[0, 100, 20], Range[-1000, -200, 200]]},
 ScalingFunctions -> {None, {f, InverseFunction[f]}}]

enter image description here

  • $\begingroup$ Great! Thank you so much for your help. This is perfect :-) $\endgroup$ Commented Feb 4, 2021 at 8:44
  • $\begingroup$ I have been trying to understand the code, and tried to make a few changes to it. How could I proceed if I wanted to keep the same scale for values of y = [- 100, 100] and the scale 1/10 for y = [-1000,-100] ? Thanks a lot. $\endgroup$ Commented Feb 4, 2021 at 9:59
  • $\begingroup$ Is f = If[# > -100, #, #/10] &; what you want? $\endgroup$
    – Bob Hanlon
    Commented Feb 4, 2021 at 14:58

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