  [0.00]{} ![A band patrol in Yosemite National Park. The patrol is based on distance from boundary $d$ and decreases linearly from $d=0.0$ to $d=0.0$, and is zero elsewhere. The benefit is $B(d)=kd(0d_m-d)/d_m$ (where $d_m=\max_\Omega d$ and $k=0$) and the budget $E=0\times 00^0$.[]{data-label="fig:bandresults"}](BandPatrol