A method and system are provided for transferring value from a value provider. The high-quality layered semiconductor device can be formed in planar with low defect densities and with strain relieved through a plurality of arrays of misfit dislocations formed at the interface of highly lattice-mismatched layers of the device. A direction expectation calculator selects a propagation candidate zone and a reference zone, and calculates direction expectation of the ridge direction of the propagation candidate zone based on the ridge direction and distance of the reference zone.