Paleomagnetic studies indicate that the present and historical nondipolar fields are typical in some respects to the nondipolar component of the paloefield generally. We apply this principle to the investigation of the global distribution of the auroral zones during epochs of reduced dipole field strength. The poleward borders of the auroral zones map out along field lines of a distance where the dipolar term dominates the nondipolar terms even for reductions to 10% of the present dipole strength. Thus the dipole scaling relations that describe the interaction with the solar wind can be used to map out the contour of the polar borders that occur when the dipole strength is reduced while the nondipole terms are held fixed. The results show that the nondipolar terms produce elongated auroral zones that extend to appreciably lower latitudes than are reached when the nondipolar terms are ignored.