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I am working in phylogenetic analysis, concentrating on a particular kind of hybridization called allopolyploidization. I have put what I think is the Petri net for the process here.
For me the interesting questions are ones like: if you start with one diploid, and end up with two diploids and three tetraploids, what are the most likely sequences of evolutionary events (speciations, exinctions and hybridizations) to have produce this? So it seems I am trying to put probabilities on Feynman diagrams.