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Fig. 2. Suitability of the responses analyzed in this paper. (A-C) Evidence that the responses were directed at the predicted later point of impact but were not based on an approximate mechanism. (A) Illustration of the errors analyzed. A shooter has dislodged a fly, which falls towards its later point of impact P. At the instant shown, a bystander has just finished its initial turn and starts to head off with a bearing indicated by the solid line. The actual position of the fly is at P'. The solid line crosses line of prey movement (from P' to P) at point S. Errors {epsilon} and {epsilon}' denote the angular deviations of the bystander's bearing with respect to either the later point of impact P or the actual position P' of the fly (broken lines). Error {epsilon} ({epsilon}') is positive when the respective reference point P (P') is before S, otherwise the error is negative: in the situation shown {epsilon}' is positive and {epsilon} is negative. (B) Bearing errors {epsilon} made with respect to the later point of impact are symmetrically distributed around zero. (C) In contrast, the distribution of errors {epsilon}' with respect to the fly's actual position, is systematically offset towards positive values (P<0.001, t-test). Errors {epsilon} and {epsilon}' are sampled in intervals of 2°. (D) Distribution of distances the responding fish had to cover from their initial position towards the later point of impact. Bin width 50 mm. (E) The time {tau} that remained till prey impact when the fish had sampled the necessary information about target motion, had finished their turn and were ready to take off. The histogram shows how remaining times {tau}, binned in 0.02 s intervals, were distributed in the set of responses. (F) The fish responded over a remarkably wide range of target-flight directions with respect to their initial orientation. The histogram shows the correspondingly wide distribution of turn sizes the responding fish made. Bin width is 20°. All histograms are based on the same N=90 responses and are normalized so that their total frequency equals 1, ticks on ordinate indicate 10% frequency.





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