The netCDF data stored here represent crop production simulations from the LPJmL biosphere model underlying the different steps of the U-turn portrayed in the main paper by Gerten et al. The LPJmL data cover the entire globe with a spatial resolution of 0.5° for the baseline period as well as for different scenarios reflecting the studied ways to restrict crop production through maintaining planetary boundaries on the one hand and the various opportunities to increase food supply within the boundaries on the other hand (see paper, specifically Figs. 1 & 2, Table 2). The stored variable is crop production (fresh matter) multiplied by the fractional coverage of different crop functional types, per 0.5° grid cell. The data are provided in one netCDF file for each scenario. An overview of the scenarios assigned to the folder names is given in the file inventory. The data support the study: Gerten, D., Heck, V., Jägermeyr, J., Bodirsky, B.L., Fetzer, I., Jalava, M., Kummu, M., Lucht, W., Rockström, J., Schaphoff, S., Schellnhuber, H.J.: Feeding ten billion people is possible within four terrestrial planetary boundaries. Nature Sustainability (2020).