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, Profit plus tax receipt over time related to the 50 mgN O 3 /l (left) and the 38 mgN O 3 /l (right) target, when the tax path is optimal (solid black), constant (solid grey), reaches 90% of the steady state tax exponentially in 20 years (dashed) and in 10 years (dotted), and when the amplitude of livestock, Figure, vol.5, p.45

, mgNO 3 /l nitrate concentration target,when the tax path is optimal (solid black), constant (solid gray), reaches 90% of the steady state tax exponentially in 20 years (dashed) and in 10 years (dotted), and when the amplitude of livestock adjustment changes from 0 (bottom) to 45% (top) of initial livestock by increments of 15%, vol.7, 2000.