please see quote...
"In mild weather the bees can break their cluster many times during the winter, enabling them to reach food anywhere in the hive. However, when the bees are more active they consume more stores than if they were kept inactive by the cold."
I think you are confusing different aspects of bee behaviour - but it is common to all animals that use a form of hibernation.
An animal hibernates so that it can get though cold conditions without using food that is scarce. Whether you are a bear or a bee, there is no food to forage in winter, so you lay down stores and go to sleep. If the bees were fully active, then they would tear though all of their stores by December.
So they cluster - at one level you are right, by clustering they use fewer stores. However, there is also a minimum level of energy required to keep the cluster at an acceptable temperature - essentially it is a sphere cooling from the outside surface. So the colder the hive is, the more energy (food) that must be put in to maintain temperature. Sure, the bees will tighten the cluster (increase the volume/surface area ratio), but when in a tight cluster, drops in temperature lead to more stores being consumed. The colder the winter, the more stores will be used. Note that the bees are in tight cluster as soon as the temperature is below about 7C - so any drops below that will result in greater energy consumption.
What does this mean for a beek?
- Bees in a constant moderately cold winter will probably be fine
- Bees in very cold winters may need feeding
- Bees in a fluctuating winter (cold, warm, cold) are more likely to need feeding as they keep breaking the cluster.
- Bees in a warm winter will get through the most stores as they will be out of the cluster all the time, but with nothing to forage.