Mathematic calculation on drift

We have asked a mathematician to compose a formula to measure the effect of drift onto the strenght of a bee colony. The formula is as follows:

Formule vervliegen




in which

q is the share foraging bees (e.g. at 30% foragers q = 0.3)

p is the chance that a bee chooses the same hive as last time

k is the number of other hives

N is the number of times that a bee has returned from a flight

See and use Google translate.