“…Grain sizes in the asthenosphere are likely to be on the order of several tens to hundreds of millimeters (e.g., Behn et al, 2009), so we do not expect shearing to be a significant factor determining conductivity. Likewise, several studies have shown that the conductivity of rocks containing partial melt is anisotropic in the direction of strain (Caricchi et al, 2011;Pommier et al, 2015;Zhang et al, 2014), and anisotropic conductive zones near the lithosphere-asthenosphere boundary have been interpreted to be due to aligned Geochemistry, Geophysics, Geosystems partial melt (Baba et al, 2006;Naif et al, 2013). However, at the temperatures and pressures deeper within the asthenosphere melt distribution is more likely to be isotropic (Pommier et al, 2015), so we have not directly included conductivity anisotropy.…”