  A recent study by Wang {\it et al.}(arXiv:2309.01417) proposed a novel
connection between the nature of the parton distribution function (PDF) and the
characteristics of its moments. In this study, we apply these findings to
analyze the evolution of the pion valence quark PDF, garnering valuable
qualitative insights. Firstly, we validate the non-negativity and continuity of
the PDF across a wide range of scales, indicating the logical consistency of
our chosen evolution scheme. Subsequently, we examine the unimodality of both
the PDF and its transformed counterpart, the xPDF, i.e., the parton
distribution function multiplied by the momentum fraction. We observe a smooth
evolution of the peak position of the xPDF towards the small-$x$ region with
increasing scale, while intriguingly, the PDF undergoes a phase of bimodal
competition as the energy scale evolves.
