  Presburger Arithmetic $\mathop{\mathbf{PrA}}\nolimits$ is the true theory of
natural numbers with addition. We consider linear orderings interpretable in
Presburger Arithmetic and establish various necessary and sufficient conditions
for interpretability depending on dimension $n$ of interpretation. We note this
problem is relevant to the interpretations of Presburger Arithmetic in itself,
as well as the characterization of automatic orderings. For $n=2$ we obtain the
complete criterion of interpretability.
