Correction to: Scientific Reports https://doi.org/10.1038/s41598-021-86043-2, published online 24 March 2021


The original PDF version of this Article contained errors in Equation 1 where [10pt] was incorrectly given.


now reads:


$$\begin{aligned} \left\{ \begin{array}{lll} 1 = f_{DSW}+f_{CDW}+f_{WW}\\[10pt] S_{A}^{obs} = f_{DSW}\cdot S_{A}^{DSW}+f_{CDW}\cdot S_{A}^{CDW}+f_{WW}\cdot S_{A}^{WW}\\[10pt] \delta ^{18}O^{obs} = f_{DSW}\cdot \delta ^{18}O^{DSW}+f_{CDW}\cdot \delta ^{18}O^{CDW}+f_{WW}\cdot \delta ^{18}O^{WW} \end{array} \right. \end{aligned}$$

This has now been corrected in the PDF; the HTML version of the paper was correct from the time of publication.