The original post kinda got me to thinking :?
Here's my thoughts...
DEEP Brood Chamber Math:
Empty Deep Frame = about 6,800 cells [both sides fully drawn]
Average Queen = about 1,500 eggs laid per day [changes with season]
Worker Creation = about 21 days [a day or two less with smaller cell sizes]
1,500 X 21 = 31,500 cells filled with eggs.
21 days later, 1,500 adult workers emerge, making those cells available for
queen to lay in again.
You can take out the 1,500 cells per day and conclude about 30,000 cells
would be in constant use for brood rearing.
Assuming the 30,000 cells are used for nothing but brood, we can estimate
a minimum of 5 fully drawn DEEP frames would be needed at all times.
Queenâ€™s Brood Pattern Tendencies Affect Formula:
The queen will tend to lay in an oval pattern, using about 1,200 cells in the middle
of each side of the frame. [2,400 cells per frame]
She will also keep her egg laying to the middle 6 or 8 frames [counted from middle]
staying away from the outside frames which are difficult to keep warm in winter.
An adult worker lives about 45 days. [longer over winter hibernation]
Assuming that the original 1,500 eggs laid, would result in 1,500 new workers
produced every 24 hours. In 45 days, a population of 67,500 workers would be
reached before the die-off rate of 1,500 a day would begin. A balance would then
be maintained with an equal number of new bees, versus dead bees until seasons
and/or circumstances changed it.
Letâ€™s use the 8 frame number to figure it as:
2,400 cells X 8 = 19,200 cells used for brood in each DEEP box.
If we use this estimate, 2 DEEP hive bodies would give your queen about 38,400 cells available,
giving YOU a cushion of about 4 frames.
Keep in mind, that if the beekeeper does not give their bees room
SOME PLACE BESIDES the brood chamber to store nectar during time of flow,
the brood chamber becomes crowded with food stores and
reduces the number of cells available for the rearing of brood.