Long term transport. We wish to know the total transport of sand in an eolian system over the course of an entire year. You know that the threshold shear velocity for entrainment is u* = 0.3 m/s for the sand involved. Let us say for our simplest case that the wind speed distribution is uniform, such that the probability of a given shear velocity is the same as that of any other over an interval [0, 1 m/s]. Calculate the expected total transport of sand, given that the instantaneous transport rate is Q = B(u_*-u_*c)³. Contrast this against the total transport you would calculate if you used instead the mean wind speed over the entire year. (If you simply ratio the two answers, the B cancels out.) Now perform the same comparison using a more realistic distribution in which the probabilities fall off exponentially with higher wind speeds: p(u*) = (1/u_*bar) e^-(u*/u*bar).