SUPPLEMENTARY INFORMATION

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In the format provided by the authors and unedited. 2 3 SUPPLEMENTARY INFORMATION Fish pool their experience to solve problems collectively VOLUME: 1 ARTICLE NUMBER: 0135 4 5 6 7 8 9 10 11 12 Mike M. Webster, Andrew Whalen & Kevin N. Laland Contents 1. Supplementary Methods 2. Supplementary Figures 1-4 3. Supplementary Tables 1-3 NATURE ECOLOGY & EVOLUTION DOI: 10.1038/s41559-017-0135 www.nature.com/natecolevol 1

38 Supplementary Methods 39 40 Training fish to approach the green lights and to access the feeder box 41 42 43 44 45 46 Prior to beginning the experiments it was necessary to first train the fish. Some fish were trained to approach the green light, some were trained how to enter the feeder box and other fish were not trained to either task. The fish were trained in six batches (Supplementary Table 1). The fish from batches one and two were used in pilot experiments designed to assess the efficacy of the training, with the fish from the third to sixth batches being used in the experiment proper. 47 48 49 50 51 52 53 54 55 56 In batch one and two we set up nine aquaria. Batches three to six contained 18 aquaria. These were sub-divided into two sets of nine aquaria each (referred to as a and b in Supplementary Table 1), with the training and testing regimes in the first set running one day ahead of those in the second. This allowed us to split the experimental trials over two days. Each aquarium contained 10 fish. Only five fish from each aquarium were randomly selected for use in the experiments. We trained additional fish because we anticipated that we would lose some to mortality over the course of training. In fact, none of the trained fish died, but we did not have time to test them all. Untested fish were retained in the laboratory for use in a separate experiment. 57 58 59 60 Each aquarium had a volume of 45l and contained a 2 cm deep layer of fine sand, and was equipped with an external filter. The aquaria were visually and chemically isolated from one another. The training procedure lasted for four weeks. During the first week the fish were NATURE ECOLOGY & EVOLUTION DOI: 10.1038/s41559-017-0135 www.nature.com/natecolevol 2

61 62 63 allowed to acclimate. They were fed daily with frozen bloodworms and were not exposed to the green lights or to the feeder box during this time. At the beginning of the second week training began. 64 65 66 67 68 69 70 71 72 73 74 In batches one and two, three aquaria were randomly selected and assigned to green light training, three to feeder box training, and three were not trained in either task. In batches three to six, which contain 18 aquaria overall, each subset of nine aquaria was randomly assigned to one of the four experimental treatments (described in main text), such that all nine aquaria received no training, three were trained to the green light while six received no training, three were trained to the feeder while six received no training or three were trained to the feeder, three to the light and three received no training. See Supplementary Table 1 for an overview of the training order and schedule. Fish that were not trained to the green lights or to the feeder box were nevertheless exposed to these, so as to remove any neophobic responses to the stimuli that may otherwise have confounded their behaviour in the experiment proper. 75 76 77 78 79 80 81 82 83 A pair of green lights identical to those used in the experimental arena described above were fitted to the end of each aquarium. These were switched on for 15 minutes twice per day at 10am and 4pm. In the aquaria where fish were trained to approach the green lights, food was provided directly beneath the lights at the same time they were switched on. The food was always consumed within the 15 minute period during which the lights were on. In the aquaria where the fish were not trained to associate the lights with food, the lights were kept off during the two daily feeding periods, and were only switched on for 15 minutes one hour after the fish had been fed, and after they had consumed all of the food. Training was repeated daily for three weeks. NATURE ECOLOGY & EVOLUTION DOI: 10.1038/s41559-017-0135 www.nature.com/natecolevol 3

85 86 87 88 89 90 91 92 93 94 95 96 97 In each aquarium we also placed a feeder box, as described above. This was suspended 10cm above the bottom of the tank. In the aquaria where fish were trained to access the feeder box, training was structured as follows. During the first week they were presented with a feeder box in which both ends had been removed. Food was placed within the feeder box twice per day at 10am and 4pm. The fish were easily able to access the food by swimming into the feeder box through the open ends. During the second week, the feeder box was replaced with one with 5cm square holes in either end, with food placed inside as before. During the third week the feeder box was replaced with one with 2cm square holes, identical to the one used in the experiment itself. In both the second and third weeks fish were seen to readily enter the feeder box and eat the food. In the aquaria where the fish were not trained to this task, we used feeder boxes with completely closed ends. For these groups food was provided directly on the sand substrate beneath the feeder box. The fish in these groups had no experience of entering the feeder boxes and no experience of detecting food within them. 98 99 Training: pilot experiments 100 101 102 103 104 105 Fish were tested individually in an experimental arena measuring 45cm long by 30cm tall and wide. The arena was screened in black plastic and contained a 2cm deep layer of fine sand, and was filled with water to a depth of 25 cm. At one end of the arena we placed a holding unit measuring 5x5cm wide, and 35cm tall. This was constructed from colourless perforated plastic. It was open at the top and bottom, and was placed directly upon the sand substrate. A high- NATURE ECOLOGY & EVOLUTION DOI: 10.1038/s41559-017-0135 www.nature.com/natecolevol 4

106 107 definition WebCam was fixed directly above the experimental arena. This was used to record the trials. Five such arenas were established, allowing five trials to be run simultaneously. 108 109 110 111 112 113 114 115 116 117 We performed two pilot experiments, one in which fish were given the opportunity to approach two green lights located at one end of the tank, and one in which they were presented with a feeder box containing 20 dead blood worms. The lights and the feeder box were as described for the experiment proper, above. We tested the fish from batch one in the green light pilot experiment and those from batch two in the feeder box pilot experiment. Of the 10 fish in each training aquarium, we randomly selected five to be tested. For each pilot experiment we tested three treatment groups (the fish trained to the green light, fish trained to the feeder box and fish that were trained to neither), with 15 replicates in each treatment group. They were tested on the day immediately following the end of the training period. 118 119 120 121 122 123 124 125 126 127 128 In the green light pilot experiment, two green lights were suspended 10cm above the surface of the water at the end of a tank directly opposite the holding unit (Supplementary Figure 3a). No prey were present in the tank in this experiment. The holding unit was used to contain the test subject at the start of the trial. A fish was randomly selected, and carefully transferred from its training aquarium to the holding unit in the experimental arena. It was allowed to acclimate for 10 minutes. During this period the green lights were switched off. The lights were then switched on and the fish was allowed to settle for another 10 minutes. Following this, the holding unit was carefully raised and removed, releasing the fish and beginning the trial. The trial lasted for a further 10 minutes. From the videos of the trials, we recorded the latency of each fish to enter a 10cm wide goal zone beneath the lights. NATURE ECOLOGY & EVOLUTION DOI: 10.1038/s41559-017-0135 www.nature.com/natecolevol 5

130 131 132 133 134 135 136 In the feeder box pilot experiment, we suspended a feeder box 10cm above the substrate and 10cm from the back wall of the arena (Supplementary Figure 3b). The feeder box was accessible via two 2x2cm holes, identical to the one described above, and as used in the experiment proper. The feeder box contained 20 dead bloodworms. These were added to the feeder box immediately before the fish was added to the holding unit. The fish was allowed to acclimate for 20 minutes before the holding unit was carefully raised and removed, beginning the trial. The trial lasted for 10 minutes. We recorded the latency of the fish to enter the feeder box. 137 138 Statistical analyses 139 140 141 142 143 In the green light and feeder box pilot experiments respectively we compared the latency of the fish to enter goal zone beneath the lights or to enter the feeder box. We used Cox regressions to compare the performance of the fish trained to the green light, to the feeder box and fish that were trained to neither, using the untrained fish as a reference category for an indicator contrast. 144 145 Pilot experiment results 146 147 148 149 150 151 In the green light pilot experiment fish that had been trained to associate the green light with food approached it sooner than did the untrained fish (Wald X 2 = 21.24, df=1, P<01), while the feeder-trained fish were no faster than the untrained fish (X 2 = 0.91, df=1, P=0.34 Supplementary Figure 4a). In the feeder box pilot experiment it was the feeder box-trained that entered it sooner than the untrained fish (Wald X 2 = 18.06, df=2, P<01), while the light-trained fish and the NATURE ECOLOGY & EVOLUTION DOI: 10.1038/s41559-017-0135 www.nature.com/natecolevol 6

152 153 154 155 untrained fish did not differ (X 2 = 1, df=1, P=0.37 Supplementary Figure 4b). In this experiment, while all of the feeder box-trained fish entered the feeder during the trial, only four of the green light-trained and two of the untrained fish (out of fifteen) entered feeder box. Based on these findings we determined that the two training protocols had been effective. NATURE ECOLOGY & EVOLUTION DOI: 10.1038/s41559-017-0135 www.nature.com/natecolevol 7

Entered green light zone Entered feeder Proportion of group members (a) 9 untrained 0 900 1800 2700 0 900 1800 2700 (b) 3 green light trained, 6 untrained 0 900 1800 2700 0 900 1800 2700 (c) 3 feeder trained, 6 untrained 0 900 1800 2700 0 900 1800 2700 (d) 3 green light trained, 3 feeder trained, 3 untrained 0 900 1800 2700 0 900 1800 2700 157 158 159 160 161 Time (s) Supplementary Figure 1. Survival plots showing the time (s) that each fish first entered the green light goal zone (left panels) and the feeder (right panels). Each line represents a single replicate, with the same coloured line referring to the same replicate between the left and right panels. (a) - (d) present results for the four different treatments. NATURE ECOLOGY & EVOLUTION DOI: 10.1038/s41559-017-0135 www.nature.com/natecolevol 8

Supplementary Figure 2: The experimental arena, consisting of a feeder box (i) containing a prey patch, two green lights (ii), which fish in some trials had been trained to approach, an opaque screen (iii), artificial plants (iv) and a holding unit (v), within which were housed before the start of the trial. See main text for further details and experimental procedure. NATURE ECOLOGY & EVOLUTION DOI: 10.1038/s41559-017-0135 www.nature.com/natecolevol 9

(a) (b) Supplementary Figure 3. The experimental areas used in the pilot experiments. (a), the light-training pilot, indicating the location of the green lights (i), the goal zone (ii) and the holding unit (iii) used to house the fish at the start of the trial. (b), the feeder-training pilot, with the feeder unit (i) and the holding unit (ii). See text for further details and procedure. NATURE ECOLOGY & EVOLUTION DOI: 10.1038/s41559-017-0135 www.nature.com/natecolevol 10

Proportion of trials (a) Green light training pilot experiment 0.9 0.7 0.5 0.3 0.1 (b) Feeder box training pilot experiment 0.9 0.7 0.5 0.3 0.1 Feeder box trained Light trained No training 0 200 400 600 0 200 400 600 Time (s) Supplementary Figure 4: The latencies of fish to enter the goal zone in the green-light training pilot (a) and the feeder box in the feeder-training pilot (b).the light- and feedertrained fish were faster in each respective experiment. NATURE ECOLOGY & EVOLUTION DOI: 10.1038/s41559-017-0135 www.nature.com/natecolevol 11

234 235 236 237 Supplementary Table 1. Training batches and testing schedule. U refers to untrained fish, F to feeder-trained and L to light-trained, with the number of fish in each referring to the group composition of the experimental treatment. See main text for further details. Batch Experiment When tested Replicates per treatment per batch 9U 3F, 6U 3L, 6U 3L, 3F, 3U 1 Pilot (Light) Sept 2012 - - - - 2 Pilot (Feeder) Oct 2012 - - - - 3a Main Nov 2012 5 3b Main Nov 2012 5 4a Main Jan 2013 5 4b Main Jan 2013 5 5a Main Feb 2013 5 5b Main Feb 2013 5 6a Main Mar 2013 5 6b Main Mar 2013 5 NATURE ECOLOGY & EVOLUTION DOI: 10.1038/s41559-017-0135 www.nature.com/natecolevol 12

268 269 270 271 Supplementary Table 2. Model coefficients for predicting the rate at which fish enter the goal zone. The social cues are linear predictors based on the number of fish that fit a criteria (e.g. number of fish in the goal area). Variable Coefficient SE z p Experience -1 1-1.25 1 Social Cues, Number of... fish in the goal area -0.14 5-2.79 <1 entrances within 10s 2.13 0.11 19.25 <1 exists within 10s 9 0 8 3 green trained light fish 3 9 5.05 <1 feeder trained fish 0.19 6 3.19 <1 Training Light 1 0.18 5.67 <1 Feeder 0.31 0.19 1.64 0.10 NATURE ECOLOGY & EVOLUTION DOI: 10.1038/s41559-017-0135 www.nature.com/natecolevol 13

302 303 304 305 Supplementary Table 3. Model coefficients for predicting the rate at which fish enter the feeder. The rates for Naïve fish are fixed to zero. The social cues are linear predictors based the number of fish that fit a criteria (e.g. number of fish in the goal area). Variable Coefficient SE z p Experience -1 1-2.14 3 Social Cues, Number of... fish in the goal area -1.48 7-5.39 <1 entrances within 10s 6.95 0.54 12.83 <1 exists within 10s 0.76 0.50 1.53 0.13 green trained light fish -3 0.14-1.68 9 feeder trained fish 1 0.15 5 0.96 Training Light 0.18 3 0.79 3 Feeder 3 2 2.84 <1 NATURE ECOLOGY & EVOLUTION DOI: 10.1038/s41559-017-0135 www.nature.com/natecolevol 14