Rhythmic Patterns of Melody

I think it would be extremely interesting to build a probability chart (like the one used for chords) for which beat different parts of the song start with. For example, if the verse melody starts on beat 2, are there patterns of what beat the prechorus or hook would start on? I find that the way these contrast is extremely critical in the way a songs momentum is built. I would also assume that with the charts, you would have the data to build such a model.