Analytical technique using the τ−β diagram offers variations to evaluate aqueous complex systems. Those recent applications of the fractal analysis offer us simple and clear understanding of water structures as one of most effective tools for moist materials including living tissues. The newer application studies are summarized as follows; 1. Only a single plot: comparison with our database, 2. Structured water: such as water in cement materials, 3. Ion migrations: Maxwell-Wagner effect, 4. Stability of materials including homeostasis for biological tissues. As the skin condition recovers over a longer period after coating glycerol aqueous solutions, the τ−β diagram indicated more typical hyperbolic behavior for plots obtained at 60 minutes after coating. This result indicates that the fractal analysis can be used for evaluations of homeostasis.