I would surmise that the sun warming the tree trunk and thus the shallow roots and the soil matrix is causing the localized melt. In contrast I have found remnant snow in shadow and beneath conifers as late as Easter in NJ.
1. The snow is often thinner / less packed under trees.2. Trees are living organisms and give off heat, as do the organisms (bacteria, fungus, insects) that tend to huddle around the root system.
I've noticed that since I was a girlI always suspected that because the tree trunks are of a darker colour, they absorb more heat from the sun and as a result radiate some of this heat which would melt snow very near to the trunk
Another factor may be that meltwater from snow on the branches of the tree will trickle down the trunk, melting snow around the base when it comes in contact.