  In this work we analyze some models used to explain the origins of
intra-strand parity and strand compositional asymmetries in bacterial genomes.
Due to the particular way that these two features emerge in bacterial DNA, we
performed our analysis from the perspective that they are complementary
phenomena that should be addressed together. Although most of the models for
these features try to explain them as consequence of evolutionary mechanisms,
recently it was proposed that they could be `relics' of some primordial genome
that were conserved thorough out the genome evolution. We shall pay special
attention to the S-H model, which is, up to the date, the unique model proposed
as a possible explanation for intra-strand parity and strand compositional
asymmetries in primordial genomes as mere consequence of randomness under
chemical/physical constraints. In particular, we shall discuss possible
directions to test some of the hypotheses of the S-H model, and we will present
a possible formulation of the S-H model as an evolutive model too.
