# Association between two asymmetric matrices

I have two matrices which elements are distances, created from an anisotropic cost analysis algorithm, between sites/populations.


A      B      C
_                _
A   |  0     DBA    DCA |
|                  |
B   | DAB     0     DCB |
|                  |
C   | DAC     DBC     0 |


However, the matrices are not symmetric in that the distance from A to B is different from the distance from B to A, or according to the above matrix DBA $\ne$ DAB

I know I could use Mantel's test, although it has been heavily criticised and its performance has never been assessed on asymmetric matrices. I thought about using Generalised Dissimilarity Modelling but I have only found examples with symmetric examples.

I would like to know:

1) Is Generalised Dissimilarity Modelling appropriate in my case?

and in case it is not,

2) Are other methods available to relate two asymmetric distance matrices?

• What is your question? – whuber Apr 27 '17 at 13:11
• I tried to improve the post, I apologise for the poor quality it had. – Julian Wittische Apr 27 '17 at 19:00
• @whuber Any ideas? – Julian Wittische Nov 23 '19 at 21:34
• I don't know what your question is. Could you describe how, if at all, this distance matrix was obtained from data and state what you are trying to discover from those data? – whuber Nov 23 '19 at 22:22