Final answer:
Allophanic Soils are typically associated with volcanic ash as their parent material, whereas Pumice Soils are associated with the weathering of pumice, a low-density frothy-textured rock originating from volcanic activity.
Step-by-step explanation:
The parent material of Allophanic Soils is often associated with volcanic ash, such as that originating from volcanic eruptions. These soils are heavily influenced by the chemical compositions of the volcanic ash, which is highly weatherable and transforms rapidly into fertile soils. Pumice Soils, on the other hand, are related to the frothy-textured, extrusive igneous rock known as pumice. This particular soil develops from the weathering of pumice deposits which are formed when volcanic lava cools and solidifies before gas bubbles can escape, leading to a unique porosity in the resultant rock.
Pumice itself is a type of volcanic glass with a very low density due to its frothy texture, causing it to sometimes float on water. Both Allophanic and Pumice Soils are thus products of volcanic activity and are heavily influenced by the materials such as volcanic ash and pumice deposits that were once part of the solidified lava flows.