Publisher Correction: Establishing long-term nitrogen response of global cereals to assess sustainable fertilizer rates

Correction to: Nature Food https://doi.org/10.1038/s43016-021-00447-x, published online 31 January 2022.

In the version of this article originally published, there were errors in Fig. 7 and equation (4). In Fig. 7, the center heading, now reading “Food plate to farm gate price ratio = 3” originally read, in part, “ratio = 1.” In equation 4, now reading “N% = 1.873 + (3.26 × 10⁻³ × N_av) − (6.20 × 10⁻² × Y_max) (R² = 0.743, N = 224),” an extraneous minus symbol was present before “6.20.” Further, in equations (5), (7) and (8), extraneous minus signs within parentheses following minus operators were removed. And in equation (7), in the terms now reading “(dC_fixed)” and “$({\mathrm{d}}CN_{{\mathrm{pollut}}_i})$,” the letter “C” originally appeared as “P.” The errors have been corrected in the HTML and PDF versions of the article.