It is therefore likely that we have incorrectly inferred a small number of mating events that are in fact due to the true fathers not having been sampled. We ought therefore to be somewhat skeptical about some of the apparent long distance mating events. However, it is unlikely that the leptokurtic shape of the dispersal kernel is an artifact of falsely assigned father
How much could false assignment affect our conclusions?
Compare with other methods that jointly analyse individual fecundity, or use neighbourhood model. Really we should have done joint analysis with mating success, but that's hard because of power, and interactions are hard to model.

Compare with other systems

How general a problem should this be? We have a big population with many candidates, maybe not as bad elsewhere.
Usually leptokurtic dispersal associated with wind-dispersed trees.

Biological discussion about leptokurtic dispersal

Make some statements about how the dispersal results would impact the antirrhinum population. For example: