Spatially resolved $[\mathrm{C}\mathrm{I}\mathrm{I}]-\mathrm{SFR}$ relation for the MARIGOLD galaxies at z = 4. The galaxies are divided into different stellar-mass bins (the number of galaxies in each bin is indicated in the legend). The solid lines show the median ${\mathrm{\Sigma }}_{[\mathrm{C}\mathrm{I}\mathrm{I}]}$ as a function of the SFR surface density (left), of the gas surface density (middle), and of the H₂ surface density (right). The shaded areas represent the 16–84 percentile range. In the left panel, dashed lines indicate the empirical relations from De Looze et al. (2014, red) based on local dwarf galaxies from the Herschel Dwarf Galaxy Survey, for ALPINE galaxies in black (based on global values only Schaerer et al. 2020, black), and for a sample of galaxies at 5 < z < 7.2 from Carniani et al. (2018, teal). For the simulated galaxies, the [C II] surface brightness, and the SFR, gas, and H₂ surface densities were obtained from a face-on projection of a cube centred on the galaxy and of side length equal to twice the radius of the galaxy.