@Dawn_SD as always offers sound advice. I’ve never run double brood box hives, but I live in gentler climes.
My comment is about the importance of insulation. In nature, bees often establish themselves in the hollow of a tree, usually quite high up. The entrance is usually quite small. The “walls” of such a hive can be 100mm , 200mm thick or more, providing exceptional insulation against the outside conditions. The small entrance, high above ground level, allows easy protection against predators and excellent control of the temperature and humidity within.
Such a hive shares attributes of a well designed house: high R value insulation and no drafts equals greater energy efficiency and lower bills.
We tend to house our bees in the worst version of a tree hollow imaginable. Ridiculously thin walls and roof, wide entrance, close to the ground. The cost to the bees is high energy bills measured in honey consumption and shorter lifespans as they vibrate their flight muscles to generate heat to replace the heat lost through the walls, roof and wide entrance.
In a double brood box hive, the bees tend to form a football shaped cluster surrounded by honey stores. The combination of honey and wax provides extra insulation, compensating slightly for the thin walls of the hive. Reducing the entrance definitely helps conserve energy.
As the warm moist air rises to meet the cold surface of the roof, condensation forms and can drip down onto the cluster of bees. This is often fatal to the colony.. Condensation on the walls is a useful source of water, though.
Snow provides insulation, but adding insulation first is best. The more, the better. As Dawn said, preventing snow blocking the entrance is critical, so a top entrance may be the solution, though having two entrances can cause draughty conditions. I’ve wondered about installing a tube to the reduced bottom entrance that rises above the potential snow depth, but I don’t have the conditions to conduct such an experiment.
Anything we can do to compensate for the poorly designed tree hollow in which we house our bees, will increase their winter survival rate.
Mike