If you go back to the original L-systems paper, it is literally this same thing. They said "we want to simulate cell growth in plants", and they worked on rules until they got something that mirrored observations.
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... then you have to get into hand-wavy territory of "well we have the same _order_ as the equation we would expect" (these are the statements like "it grows with r^2 just like equation X that we were expecting").
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But again I'm just not sure why this is interesting, unless the idea is just that nobody thought graphs could encode real-world things, so you have to convince them of that? I would think that was obvious but traditional disciplines do get set in their ways, so...
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