Supplemental figure 1 Variations in mean population genetic values at different latitudes The value for each latitude is the average of the five mean genetic values for the populations concerned at generation 300 under limited selection and steep environmental gradients ( , ). Latitudinal means were computed and reported for co-gradient (red), counter-gradient (green) and uniform selection (purple). Limited selection gradients were simulated here ( The color lines indicate assortative mating ( ( ( ) ), the black lines indicate random mating ). All simulations were conducted under three migration models with moderate gene flow ): the plain lines indicate IMM, the dashed lines LDN and the dotted lines LDS. Each line represents the mean of 30 independent replicates. Supplemental figure 2 Variation in maladaptation level of a northern population under a stronger selection intensity The difference between the phenotypic optima and the mean genetic values of a northern population (population 52) was monitored under 11 additional scenarios involving a stronger selection intensity associated with a steep selection gradient ( , ). Title of the figures indicates the steepness of the selection gradient and the dispersal model simulated, LD meaning “long-distance and directional dispersal”, which includes both LDN (plain lines) and LDS (dashed lines). Assortative mating ( ) was combined with co-gradient (red) and counter-gradient (green) selection. Random mating was also simulated; black lines represent random mating when the selection gradient co-varied positively with the latitudinal gradient, gray lines represent random mating when the selection gradient is opposed to the latitudinal gradient. The reversion of the selection gradient cannot have any effect under randoim mating when IMM is simulated, that is why it was only considered with directional dispersal models: LDN and LDS. Each line represents the mean of 30 independent replicates for each evolutionary scenario. Supplemental figure 3 Variation in maladaptation level of a population located in the central part of the landscape The difference between the phenotypic optima and the mean genetic values of a population located in the central part of the landscape (latitude 0, population 28) was monitored under moderate selection intensity associated with a steep selection gradient ( mating ( , ). Assortative ) was combined with co-gradient (red) and counter-gradient (green) selection. In these scenarios, the black lines stand for random mating. Three models of pollen dispersal were simulated: IMM, LDN and LDS. Title of the figures indicates the steepness of the selection gradient and the dispersal model simulated. LD means “long-distance and directional dispersal”, it refers both to LDN and LDS. Each line represents the mean of 30 independent replicates for each evolutionary scenario. Supplemental figure 4 Upper and lower bounds of the 30 replicates ran per scenario Plain lines indicate mean values of the 30 simulations for each scenario and dashed lines represent the upper and lower bounds. (a) variation of the level of maladaptation of a northern population under co-gradient conditions and island migration model with the following parameter settings: , , . (b) variation of mean population genetic values at different latitudes at generation 1000 under the same settings than (a). (c) variation of gradient conditions set from the same parameters than (a) and (b). values monitored in counter-