SUPPLEMENTAL METHODS AND RESULTS Sequential comparison of conspecific male color by limnetic females When limnetic females see two conspecific males in sequential trials, females compare the coloration of the second male to the first and show greater preference for the more colorful male [1]. To test if predators change this sequential preference for color in conspecifics, we calculated the difference in preference between the two males (second minus first male) and analyzed it in a model with coloration difference (second minus first male), predator exposure, and their interaction. There was no effect of predator exposure for limnetic females when sequentially comparing coloration between first and second conspecific males (all limnetic female interactions between difference in coloration and predator: all F1,36 < 0.49, p > 0.48). SUPPLEMENTAL REFERENCES 1. Kozak G.M., Head M.L., Lackey A.C., Boughman J.W. 2013 Sequential mate choice and sexual isolation in threespine stickleback species. J. Evol. Biol. 26, 130-140. Inspection (a) † = control = predator Inspection (b) Inspection (c) First Trial Second Trial Supplemental Figure 1. Female inspection and predator exposure. Least-squared means + s.e. shown for female inspection shown for trials with conspecific mates and trials with heterospecific mates. Benthic and limnetic female species combined. Filled symbols indicate control exposure, open symbols predator exposure. (a) Inspection of conspecific males; (b) inspection of heteospecific males; (c) inspection of heterospecific males by females in the achromatic data set (benthic females plus limnetics females who saw dull males). Significance of comparisons between trials (within treatments) indicated immediately to the right of symbols. † p < 0.10. 1 0.9 Follows 0.8 0.7 0.6 0.5 0.4 0.3 0.2 = control = predator 0.1 0 0 2 4 6 8 10 12 Coloration Supplemental Figure 2. Limnetic female preference for colorful males after exposure. Follows per lead to heterospecific males in the second trial plotted against male coloration (interaction between predator exposure, trial and male coloration F1,51.61 = 4.27). Untransformed values shown. Filled symbols/solid line indicate control exposure, open symbols/dashed line predator exposure (predator-exposed β = -0.11 + 0.04, t37 = -2.5, p = 0.021; control-exposed: β = 0.071 + 0.05, t37 = 1.31, p = 0.21). Conspecific Males Log Latency Predator (trout,control) Estimate Trial (first,second) Predator*Trial Female species Male Color Female ID§ Asinroot Follows Predator (trout,control) Trial (first,second) Predator*Trial Female species Male Color Female ID§ Asinroot Inspection Predator (trout,control) Trial (first,second) Predator*Trial Female species Male Color Female ID§ All females s.e. ddf F1,ddf Achromatic females p Estimate s.e. ddf F1,ddf Reused females removed p Estimate s.e. ddf F1,ddf p 0.44 0.38 49.31 1.37 0.25 0.15 0.44 32.40 0.11 0.74 0.44 0.38 41.39 0.87 0.36 0.01 0.30 0.30 0.01 0.73 0.29 0.59 0.44 0.12 0.85 50.20 50.24 50.48 98.90 0.01 0.27 0.47 0.01 0.97 0.61 0.5 0.96 0.05 0.04 0.20 0.01 0.44 0.39 0.77 0.47 0.15 0.67 35.17 33.26 32.73 65.99 0.02 0.01 0.19 0.01 0.9 0.95 0.67 0.97 0.01 0.30 0.30 0.01 0.73 0.29 0.59 0.44 0.12 0.85 42.19 42.16 41.46 80.98 0.10 0.01 0.05 0.13 0.75 0.92 0.82 0.71 0.09 0.01 0.03 0.20 0.05 0.10 0.10 0.05 0.11 0.12 0.02 0.32 49.54 50.07 50.11 50.52 82.50 0.72 0.02 0.09 2.62 3.65 0.4 0.9 0.76 0.11 0.06 0.08 0.01 0.06 0.23 0.05 0.10 0.13 0.08 0.15 0.14 0.03 0.32 32.61 34.69 33.11 32.89 57.84 0.33 0.03 0.18 2.80 1.93 0.57 0.86 0.68 0.1 0.17 0.06 0.04 0.10 0.12 0.06 0.10 0.11 0.06 0.11 0.14 0.03 0.32 41.63 42.07 42.05 41.68 64.08 0.25 0.53 0.69 0.72 6.00 0.62 0.47 0.41 0.4 0.02 0.02 0.17 0.13 0.28 0.05 0.10 0.13 0.09 0.18 0.15 0.04 0.31 49.35 50.17 50.21 50.55 96.96 0.03 3.50 0.54 3.71 1.48 0.86 0.07 0.47 0.06 0.23 0.12 0.19 0.09 0.30 0.04 0.08 0.16 0.13 0.25 0.16 0.05 0.28 32.44 35.11 33.22 32.77 65.65 0.62 2.13 0.12 3.32 0.73 0.43 0.15 0.73 0.08 0.4 0.05 0.25 0.09 0.14 0.03 0.11 0.14 0.09 0.19 0.17 0.04 0.32 41.46 42.15 42.12 41.52 76.72 0.14 6.78 0.23 0.65 0.40 0.71 0.01 0.63 0.42 0.53 Supplemental Table 1. Predator exposure and sexual selection within species. Results from linear mixed model with female identity (ID) as a random factor for transformed latency (log), follows (arcsinroot), and inspection (arcsinroot). Estimate, standard error (s.e.), denominator degrees of freedom (ddf) and F values shown for full data set (all females, N = 53 females), achromatic data set (only limnetic females that saw dull males and benthic females: N = 36), and data set with reused (tested on a prior clutch) females removed (N = 45). Significant effects (p < 0.05) shown in bold. § s.d. rather than s.e. shown. Heterospecific Males Log Latency Estimate Predator (trout,control) 0.76 Trial (first,second) 1.21 Predator*Trial 2.08 Female species 0.59 Male Color 0.14 Female ID§ 0.34 Asinroot Follows Predator (trout,control) 0.18 Trial (first,second) 0.15 Predator*Trial 0.10 Female species 0.28 Male Color 0.00 Female ID§ 0.11 Asinroot Inspection Predator (trout,control) 0.16 Trial (first,second) 0.17 Predator*Trial 0.17 Female species 0.26 Male Color 0.04 Female ID§ 0.15 All females s.e. ddf F1,ddf 0.37 52.41 4.28 Achromatic females p Estimate s.e. ddf F1,ddf 0.04 0.94 0.45 38.27 0.41 0.79 0.54 0.27 0.67 4.39 Reused females removed p Estimate s.e. ddf F1,ddf 0.04 0.36 52.45 13.72 0.0005 0.66 52.34 9.88 0.003 0.42 54.57 1.99 0.16 0.19 101.30 0.53 0.47 0.58 1.56 1.53 0.57 0.06 0.45 0.11 52.59 2.58 0.11 0.26 0.12 38.52 4.53 0.04 0.07 0.13 0.12 0.03 0.33 52.25 52.15 54.74 98.28 4.98 0.62 5.01 0.01 0.03 0.44 0.03 0.93 0.11 0.37 0.38 0.04 0.11 39.68 39.12 49.48 67.99 1.65 7.52 7.28 0.95 0.21 0.009 0.01 0.33 0.15 52.56 1.13 0.29 0.22 0.16 38.37 1.80 0.19 0.11 52.33 0.22 52.22 0.17 54.80 0.05 103.46 0.39 2.28 0.64 2.35 0.58 0.14 0.43 0.13 0.45 0.09 0.04 0.56 0.14 0.13 0.52 0.03 8.39 5.43 0.47 0.86 0.006 0.02 0.07 0.14 0.14 0.04 0.33 0.12 0.24 0.19 0.06 0.36 39.97 13.89 0.0006 48.56 3.77 0.06 50.43 1.11 0.3 77.67 0.04 0.84 39.87 39.21 50.22 76.71 0.86 0.39 47.58 1.34 2.59 0.44 0.02 0.41 0.38 0.68 0.44 0.13 0.64 4.98 p 0.03 47.32 18.09 <0.0001 47.47 14.47 0.0004 48.31 1.01 0.32 92.14 0.03 0.85 0.22 0.12 47.74 3.29 0.08 0.15 0.15 0.26 0.02 0.11 47.14 47.28 48.45 88.28 4.87 1.06 3.64 0.25 0.03 0.31 0.06 0.62 0.22 0.16 47.73 1.84 0.18 0.21 0.03 0.24 0.01 0.18 3.92 0.02 1.68 0.03 0.05 0.89 0.2 0.87 0.07 0.14 0.13 0.03 0.34 0.11 0.22 0.18 0.05 0.43 47.18 47.33 48.47 91.93 Supplemental Table 2. Predator exposure and sexual isolation. Results from linear mixed model with female identity (ID) as a random factor for transformed latency (log), follows (arcsinroot), and inspection (arcsinroot). Estimate, standard error (s.e.), denominator degrees of freedom (ddf) and F values shown for full data set (all females, N = 55 females), achromatic data set (only limnetic females that saw dull males and benthic females: N = 42), and data set with reused (tested on a prior clutch) females removed (N = 50). Significant effects (p < 0.05) shown in bold. § s.d. rather than s.e. shown. Conspecific males Predator (trout,control) Trial (first,second) Predator*Trial Female species Male Color Female ID§ Heterospecific males Predator (trout,control) Trial (first,second) Predator*Trial Female species Male Color Female ID§ All females Estimate s.e. Z 0.35 0.62 0.56 0.44 0.56 0.80 0.74 0.79 0.93 1.91 0.65 2.95 0.23 0.16 1.46 1.10 1.05 0.77 1.14 0.31 0.97 0.31 2.25 0.62 0.56 0.75 0.52 0.17 1.50 1.24 2.06 0.41 1.85 1.83 p 0.575 0.426 0.351 0.003 0.144 0.214 0.040 0.683 0.065 0.068 Achromatic females Reused females removed Estimate s.e. Z p Estimate s.e. Z p 0.07 0.76 0.09 0.931 0.42 0.67 0.63 0.532 0.71 0.67 1.06 0.290 0.41 0.61 0.68 0.499 0.93 0.96 0.97 0.333 0.40 0.85 0.47 0.641 2.02 0.71 2.84 0.005 1.38 0.69 1.99 0.047 0.20 0.19 1.04 0.298 0.13 0.17 0.76 0.448 1.07 1.03 0.93 0.97 1.00 1.83 1.56 2.92 0.94 0.86 0.67 0.94 0.89 0.28 3.20 1.17 2.73 1.67 3.26 3.33 1.79 0.244 0.006 0.095 0.001 0.001 0.53 1.53 0.79 0.66 0.26 3.39 0.69 0.64 0.82 0.59 0.18 1.84 0.78 2.40 0.96 1.13 1.41 0.436 0.017 0.335 0.257 0.157 Supplemental Table 3. Predator exposure and preference score. Preference score analyzed using ordinal cumulative linear mixed models (logit link fitted with the adaptive Gauss-Hermite quadrature approximation with 10 quadrature points). Estimate, standard error (s.e.), Z values for both sexual selection (conspecific males) and sexual isolation (heterospecific males) analyses shown for all females (Con N = 53 females; Het N=55 males), achromatic data set (only limnetic females that saw dull males and benthic females: Con N = 36; Het N = 42), and data set with reused (tested on a prior clutch) females removed (Con N = 45, Het N= 50). Significant effects (p < 0.05) shown in bold. § s.d. rather than s.e. shown. Log Latency Predator (trout,control) Trial (first,second) Predator*trial Male color Male color*trial Male color*predator Male color*predator*trial Female ID§ Asinroot Follows Predator Trial Predator*trial Male color Male color*trial Male color*predator Color*predator*trial Female ID§ Asinroot Inspection Predator Trial Predator*trial Male color Male color*trial Male color*predator Color*predator*trial Female ID§ Preference Score Predator Trial Predator*trial Male color Male color*trial Male color*predator Color*predator*trial Female ID§ Conspecific Males Estimate s.e. ddf F1,ddf Heterospecific Males p Estimate s.e. ddf F1,ddf p 0.59 0.55 36.36 0.89 0.35 0.49 0.63 36.33 0.56 0.46 0.03 0.59 0.34 1.21 0.44 0.45 0.37 0.64 0.54 0.51 34.97 61.94 34.97 65.20 61.94 0.18 0.03 0.28 3.17 0.05 0.67 0.87 0.6 0.08 0.82 1.95 0.38 1.66 0.71 0.03 0.62 0.55 0.85 0.71 0.71 36.03 69.24 36.03 66.5 69.24 6.85 0.01 3.8 2.74 0.04 0.01 0.94 0.06 0.1 0.85 1.05 1.00 0.75 1.00 65.20 1.90 0.17 0.13 0.23 0.91 0.48 66.5 0.02 0.89 0.07 0.05 0.04 0.12 0.10 0.02 0.08 0.10 0.12 0.08 0.07 0.11 0.10 0.10 0.14 0.31 37.09 34.48 47.83 34.48 50.26 47.83 50.26 0.01 0.03 5.79 1.26 0.86 0.06 0.3 0.94 0.86 0.02 0.27 0.36 0.81 0.59 0.07 0.15 0.06 0.09 0.09 0.03 0.41 0.10 0.15 0.12 0.12 0.16 0.15 0.16 0.19 0.31 36.99 34.89 63.75 34.89 51.61 63.75 51.61 0.74 1.78 0.05 0.29 1.22 4.73 4.27 0.39 0.19 0.82 0.59 0.27 0.03 0.04 0.12 0.26 0.10 0.11 0.29 0.09 0.19 0.13 0.16 0.12 0.10 0.17 0.15 0.14 0.21 0.35 36.68 34.74 55.68 34.74 58.92 55.68 58.92 0.17 5.52 0.61 0.44 3.25 0.01 0.79 0.68 0.02 0.44 0.51 0.08 0.94 0.38 0.40493 0.06137 0.03575 0.34284 0.05354 0.14199 0.26667 0.1923 0.236 0.192 0.194 0.265 0.249 0.251 0.312 0.439 36.88 35.16 66.85 35.16 55.14 66.85 55.14 1.46 3.08 0.00 1.67 0.25 0.00 0.70 0.24 0.09 0.96 0.20 0.62 0.96 0.41 0.71 0.20 0.48 0.55 0.61 0.56 0.26 3.58 0.95 0.76 0.65 1.05 0.96 0.88 1.28 1.89 0.75 0.27 0.75 0.53 0.64 0.63 0.20 0.46 0.79 0.46 0.60 0.52 0.53 0.84 1.11 0.77 0.17 0.65 0.85 0.28 1.46 4.06 0.98 0.73 0.73 0.99 0.98 1.02 1.23 2.02 1.14 1.05 0.23 0.65 0.86 0.27 1.19 0.25 0.29 0.82 0.51 0.39 0.79 0.24 NA NA NA NA NA NA NA NA NA NA NA NA NA NA Supplemental Table 4. Predator exposure and color preference in limnetics. Results for limnetics with conspecific males (N = 40) and heterospecific males (N = 39) from mixed model with female identity as a random factor and all interactions with male coloration included. Estimates, standard error (s.e.), denominator degrees of freedom (ddf) and F values shown for transformed latency (log), follows (arcsinroot), and inspection (arcsinroot). Z values from cumulative mixed model with female identity as a random factor shown for preference score (see Supplemental Table 3). Significant effects (p < 0.05) shown in bold. § s.d. rather than s.e. shown.
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