Model simulations vs fish experiments.

Distance D(Fish|Model) between the probability distribution function (PDF) of the 5 observables used to quantify the collective motion in the fish model and the corresponding PDF obtained in fish experiments. We list the results for the 3 different interaction strategies implemented in the fish model and the associated value of k for the number of interacting neighbors. The last column 〈All〉 corresponds to the average of the 5 corresponding distances, an arbitrary but reasonable global quantifier to assess the overall agreement of a given condition with the results of fish experiments. For k = 1, the most influential strategy gives significantly better results than the two other strategies and already leads to a fair agreement with fish experiments.