<p>In the current study, the mathematical analogy between the Johnson–Mehl–Avrami-Kolmogorov equation and the equations describing density, the effective cross-sectional area and porosity evolution in compaction of metallic powders is presented. In addition, the density evolution in the early stages due to particle arrangement and elastic deformation are considered. The study provides an insight to the average (mean field) evolution of the regions occupied by the particles by demonstrating the mathematical analogy to growth and impingement of phase regions in solid state phase transformations. In a sense, the growth and impingement of the cross-sectional areas of particles can be interpreted as one phase (the solid particle) growing into another phase (the pore region). In addition to presenting the analogy and the interpretation, a slight geometrically based fine-tuning to the electrical resistivity equation is developed, which shows improvement in fitting when comparing to previously presented equation.</p>