Fig. 7

Results of the optimization of location problem, for the multiple ignitions case and regrowth scenario \(\mathcal {F}^{2}\). In the first plot (from top to bottom) the mean burned area curves \(\hat{A}(t; c, \mathcal {F}^{2}, \mathcal {I}, \mathcal {W})\) for each areas configuration. In the second row, each point is associated with a different configuration, with x-coordinate corresponding to normalized integral of burned area curve \(\bar{\mathcal {A}}\) and y-coordinate corresponding to the normalized treated area \(\bar{\mathcal {T}}\). In the third plot, each point is associated to a different configuration, with the y-coordinate corresponding to the objective function value G. The color palette has been chosen according to which patch has been considered first in the configuration (counting from West to East): green palette for configurations in which patch 100000 has been considered first; blue palette for patch 010000 as first; red palette for patch 001000; magenta palette for patch 000100; purple palette for patch 000010; orange palette for patch 000001. Black color corresponds to no prescribed fires configuration 000000; yellow color corresponds to the all prescribed fires configuration 111111