Growth maps for protoplanet growth by planetesimal accretion, with gas accretion commencing after 10 M_E is reached. The maps show the final mass (i.e. the mass reached when the disc has dissipated after 3 Myr) as continuous colours and the final positions as white contour lines as a function of the starting position of the protoplanet and the starting time. We additionally show the size of the protoplanetary disc (yellow line) and the Toomre Q of the gas (red contour lines). The panels show the results for four values of the initial mass accretion rate through the disc and the mass accretion rate after 3 Myr. The instantaneous stellar mass accretion rate is shown on the right axis. Each panel is also labelled with the total mass of the planetesimals in the models; we assume here that 1% of the initial gas surface density profile is converted into planetesimals at t = 0. The nominal model (upper left) achieves protoplanet growth only up to 0.1 M_E, approximately the mass of Mars. The three other models, where planetesimals form at the gravitationally unstable phase of protoplanetary disc evolution, successfully form hot and warm gas giants interior of 2 AU, but are not able to form any cold gasgiants in the 5–10 AU region (see inset in the upper right panel).