# Which version of the Tukey mean-difference plot is more convenient?

I have a single parameter measured by two methods: A and B.

I need to see how these two methods compare against each other, so I thought of a Tukey mean-difference (TMD) plot. The issue is that the measured parameter spans a wide range of values, so the standard TMD plot shows very small differences and very large ones.

I thought that one way to bring this to the same scale would be to plot the relative differences (A-B)/(A+B) instead of the differences (A-B) as done in the standard TMD plot.

This is what I get:

There is a systematic trend where differences increase as do the average values, shown in the left ("standard") plot. But the right plot ("relative difference") would appear to imply that the mismatch between both methods is actually worse for smaller values of the measured parameter.

The question: is there some caveat in the "relative difference" plot I might be missing? Should I just stick to the standard TMD?