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?