We model the second inflation period at Long Valley caldera, California using a genetic algorithm technique and high quality geodetic measurements of elevation changes and baseline extensions. We compare two source inversions for both spherical Mogi point sources and the finite prolate ellipsoid of Yang and Davis. A sensitivity analysis for the genetic algorithm is performed based upon synthetic data set inversions on similar sources in order to better constrain the areal location, orientation, and volume of the potential sources. The spherical sources are well constrained, the larger located at 9.9 km beneath the resurgent dome, with a volume of 0.036 km3, while the second, at only 0.008 km3, is located at a depth of 7.3 km beneath the south moat. The depths to the ellipsoidal sources are switched, with the larger source at a depth of 9.6 km and the smaller at 11.8 km, with volumes of 0.037 and 0.002 km3, respectively.