Is prairie compatible with cropping?

Many people have used the Conservation reserve program to restore prairies on their farm.  One practice that has not taken hold is using prairie strips to manage runoff and capture sediment.  I have seen Narrow grass strips, 10 to 20 feet wide used in place of terraces.  The strips trap sediment and slow down runoff.  This article from No-till Farmer Leopold Center advocates using prairie strips in cropping systems.