Before revision:  These models are typically requested to reproduce the one- and two-point statistics of the amino-acid usage in these protein families,{\em i.e. ~ the so-called residue conservation and covariation statistics  . Pairwise Potts models are the maximum-entropy models achieving this.
After revision:  These models are typically requested to reproduce the one- and two-point statistics of the amino-acid usage in these protein families,{\em i.e. ~ the so-called residue conservation and covariation statistics of proteins of common evolutionary origin . Pairwise Potts models are the maximum-entropy models achieving this.