1. Department of Earth and Planetary Sciences, University of California, Santa Cruz, CA 95064, USA.
2. Institut de Physique du Globe de Paris, 75252 Paris, France.
3. School of Earth and Space Exploration, Arizona State University, Tempe, AZ 85287–1404, USA.
4. Arctic Region Super-computing Center, University of Alaska, Fairbanks, AK 99775, USA.