A likelihood-ratio test for lumpability of phylogenetic data: Is the Markovian property of an evolutionary process retained in recoded DNA?

Lars Jermiin, John Robinson & Victor Vera-Ruiz
In molecular phylogenetics, it is typically assumed that the evolutionary process for DNA can be approximated by independent and identically distributed Markovian processes at the variable sites and that these processes diverge over the edges of a rooted bifurcating tree. Sometimes the nucleotides are transformed from a 4-state alphabet to a 3- or 2-state alphabet by a procedure that is called recoding, lumping, or grouping of states. Here, we introduce a likelihood-ratio test for lumpability...
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3 downloads reported since publication in 2021.

These counts follow the COUNTER Code of Practice, meaning that Internet robots and repeats within a certain time frame are excluded.
What does this mean?