All-particle flux and composition spectra in the case of a lognormal p(E_p, max). Upper left panel: All-particle flux spectrum flattened by E^γ. Upper right panel: composition spectrum. Lower left panel: Broken power-law fit around the knee for the flux spectrum. The crosses correspond to mock observations obtained from our model. The solid line shows the fit of Eq. (12). Lower right panel: Low- and high-energy asymptotic logarithmic fits to the composition spectrum (solid green and red lines, respectively). The points again correspond to mock data obtained from our model. The composition break energy is given by the intersection of the two lines (black star).