Correction to: Nature Geoscience https://doi.org/10.1038/s41561-021-00828-8, published online 21 October 2021.

In the version of the article originally published, equation (14) in the Methods section omitted the expression \([1/({c}_{p}+{L}_{v}{\alpha }_{{\rm{L}}}{q}_{{\rm{L}}}^{x})]\). The equation has been corrected to read:

$$\begin{array}{rcl}{\delta T}_{{\rm{L}}}^{x}&=&\left(\frac{1}{1+\varepsilon \delta {r}_{{\rm{L}}}^{x}}\right)\left({\gamma }^{{T}_{{\rm{O}}}}\delta {T}_{{\rm{O}}}+{\gamma }^{{r}_{{\rm{O}}}}\delta {r}_{{\rm{O}}} \right.\\ &&- \left.[\varepsilon /{\alpha }_{{\rm{L}}}]\delta {r}_{{\rm{L}}}^{x}+[1/\left({c}_{p}+{L}_{v}{\alpha }_{{\rm{L}}}{q}_{{\rm{L}}}^{x}\right)]\Delta h\right)\end{array}$$

The error does not affect the results, figures, conclusions or other equations in the article and has been corrected in the HTML and PDF versions of the article.