“…Due to the practical constraints, the BD samples were not available for the 100-500 cm soil layers. Considering that the BD and SOC were significant correlated (Conforti, Lucà, Scarciglia, Matteucci, & Buttafuoco, 2016;Telles et al, 2004), we established pedotransfer functions using SOC as a predictor of soil BD at 0-100 cm ( Figure S2; Benites, Machado, Fidalgo, Coelho, & Madari, 2007; Rodríguez-Lado, Rial, Taboada, & Cortizas, 2015); then, we used the SOC content in the 100-500 cm layer to estimate the soil BD for the 100-500 cm soil depth. SOC density (SOCD) was calculated using the following equations (Jobbágy & Jackson, 2000;Yang, Mohammat, Feng, Zhou, & Fang, 2007):…”