1. Department of Earth and Environmental Sciences, University of Ottawa, Ottawa, Canada
2. Department of Earth Sciences, Carleton University, Ottawa, Canada
3. Department of Geosciences, Pennsylvania State University, State College, PA, USA
4. Université Clermont Auvergne, CNRS, Laboratoire Magmas et Volcans, Aubière, France
5. Earth and Planets Laboratory, Carnegie Institution for Science, Washington DC, USA