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We extend the active walker model to address the formation of paths ongradients, which have been observed to have a zigzag form. Our extensionincludes a new rule which prohibits direct descent or ascent on steep inclines,simulating aversion to falling. Further augmentation of the model stops walkersfrom changing direction very rapidly as that would likely lead to a fall. Theextended model predicts paths with qualitatively similar forms to the observedtrails, but only if the terms suppressing sudden direction changes areincluded. The need to include terms into the model that stop rapid directionchange when simulating mountain trails indicates that a similar rule shouldalso be included in the standard active walker model.

Mountain trail formation and the active walker model