Human crowds base most of their behavioral decisions upon anticipated states oftheir walking environment. We explore a minimal version of a lattice model to study lanesformation in pedestrian counterow. Using the concept of horizon depth, our simulationresults suggest that the anticipation eect together with the presence of a small backgroundnoise play an important role in promoting collective behaviors in a counterow setup. Theseingredients facilitate the formation of seemingly stable lanes and ensure the ergodicity of the system.