Fig. 10. Graph of the cost function λ for an irreversible lake (b = 0.4)(left column) and for an hysteretic lake (b = 0.8) (right column). (Lmin = 0.1, Lmax = 1, Pmax = 0.5 and VLmax = 0.1.) The cost function λ parameters c1 and c2 equal 0.3 and 17, respectively, in the first row and 1.5 and 5, respectively, in the second row. The cost is represented by the vertical coordinate. Two points with the same vertical coordinate have the same cost and are depicted with the same color. Viab(K) (dark blue area) and the set of states where the cost is null merge. In the case of the hysteretic lake (b), the value of the cost function is finite for all states, whereas the cost function takes the infinite value in the case of the irreversible lake (left column).

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