The conventionality of parastatistics

Nature seems to be such that we can describe it accurately with quantum theories of bosons and fermions alone, without resort to parastatistics. This has been seen as a deep mystery: paraparticlesmake perfect physical sense, so why don't we see themin nature?We consider one potential answer: every paraparticle theory is physically equivalent to some theory of bosons or fermions,making the absence of paraparticles in our theories amatter of convention rather than amysterious empirical discovery.Weargue that this equivalence thesisholds in all physically admissible quantum field theories falling under the domain of the rigorous Doplicher-Haag-Roberts approach to superselection rules. Inadmissible parastatistical theories are ruled out by a locality-inspired principle we call charge recombination.