Correction to: Communications Earth and Environment https://doi.org/10.1038/s43247-023-00812-7, published online 29 April 2023.

The original version of this Article contained errors in the formatting of Equation 1 which incorrectly read:

$${{\varepsilon }}{{{\rm{Ndmix}}}}=\,\frac{(({{{\rm{\varepsilon }}}}{{{\rm{NdWMDW}}}}* [{{{\rm{Nd}}}}]{{{\rm{wmdw}}}}* {{{\rm{fWMDW}}}})+({{\varepsilon }}{{{\rm{NdLIW}}}}* [{{{\rm{Nd}}}}]{{{\rm{Liw}}}}* {{{\rm{fLIW}}}})+({{\varepsilon }}{{{\rm{NdEMDW}}}}* [{{{\rm{Nd}}}}]{{{\rm{Emdw}}}}* {{{\rm{fEMDW}}}}))}{(([{{{\rm{Nd}}}}]{{{\rm{Wmdw}}}}* {{{\rm{fWMDW}}}})+([{{{\rm{Nd}}}}]{{{\rm{Liw}}}}* {{{\rm{fLIW}}}})]+([{{{\rm{NdEmdw}}}}* {{{\rm{fEMDW}}}}))}$$

The correct form of Equation 1 is:

$${{{\varepsilon }}}_{{{{\rm{Ndmix}}}}}=\,\frac{(({{{\varepsilon }}}_{{{{\rm{Nd}}}}\; {{{\rm{WMDW}}}}}* {[{{{\rm{Nd}}}}]}_{{{{\rm{WMDW}}}}}* {{{{\rm{f}}}}}_{{{{\rm{WMDW}}}}})+({{{\varepsilon }}}_{{{{\rm{Nd}}}}\; {{{\rm{LIW}}}}}* {[{{{\rm{Nd}}}}]}_{{{{\rm{LIW}}}}}* {{{{\rm{f}}}}}_{{{{\rm{LIW}}}}})+({{{\varepsilon }}}_{{{{\rm{Nd}}}}\; {{{\rm{EMDW}}}}}* {[{{{\rm{Nd}}}}]}_{{{{\rm{EMDW}}}}}* {{{{\rm{f}}}}}_{{{{\rm{EMDW}}}}}))}{(({[{{{\rm{Nd}}}}]}_{{{{\rm{WMDW}}}}}* {{{{\rm{f}}}}}_{{{{\rm{WMDW}}}}})+({[{{{\rm{Nd}}}}]}_{{{{\rm{LIW}}}}}* {{{{\rm{f}}}}}_{{{{\rm{LIW}}}}})\left.\right]+({\left[{{{\rm{Nd}}}}\right]}_{{{{\rm{EMDW}}}}}* {{{{\rm{f}}}}}_{{{{\rm{EMDW}}}}}))}$$

Additionally, in the Acknowledgements section of this article the grant number relating to GRC Geociències Marines, Departament de Dinàmica de la Terra i de l’Oceà, Facultat de Ciències de la Terra, Universitat de Barcelona given for Sergio Trias-Navarro, Leopoldo David Pena, Maria de la Fuente, Eduardo Paredes, Ester Garcia-Solsona, Jaime Frigola, Albert Català and Isabel Cacho was incorrectly given as “2017 SGR 315” and should have been “2021 SGR 01195”.

These errors have been corrected in the PDF and HTML versions of the Article.