Electronic supplementary material Table S1. Effects of incubation temperature and sex on egg development and hatchling phenotypes of the jacky dragon (Amphibolurus muricatus). Analyses of egg survival and hatchling sex ratio were performed with logistic regression, and analyses on the other offspring phenotypes were preformed with mixed model analyses of variance, with maternal identity as a random effect. P-values in bold face are statistically significant. Effect of: Covariate Thermal mean Thermal fluctuation Mean x fluctuation Sex 3-way interaction Incubation length (days) - F1,86=2042.7, P<0.001 F2,86=12.86, P<0.001 F2,86=99.8, P<0.001 F1,86=0.2, P=0.623 F5,86=0.7, P=0.593 Egg survival (%) - χ2=0.2, P=0.624 χ2=0.0, P=0.993 χ2=1.2, P=0.552 - - Sex ratio (% male) - χ2=0.4, P=0.530 χ2=0.7, P=0.705 χ2=6.7, P=0.035 - - Egg mass F1,83=0.1, P=0.804 F2,83=5.6, P=0.005 F2,83=0.3, P=0.771 F1,83=0.1, P=0.746 F5,83=1.1, P=0.383 SVL F1,84=0.7, P=0.402 F2,84=3.85, P=0.025 F2,84=0.8, P=0.461 F1,84=1.9, P=0.174 F5,84=0.7, P=0.660 Egg mass F1,82=0.3, P=0.563 F2,82=2.2, P=0.120 F2,82=1.0, P=0.392 F1,82=1.9, P=0.172 F5,89=0.8, P=0.579 SVL F1,84=0.2, P=0.690 F2,84=1.3, P=0.279 F2,84=2.0, P=0.147 F1,84=1.2, P=0.279 F5,84=0.5, P=0.798 SVL F1,80=0.1, P=0.797 F2,80=0.3, P=0.716 F2,80=2.6, P=0.082 F1,80=0.1, P=0.737 F5,80=2.8, P=0.024 - F1,80=1.0, P=0.331 F2,80=1.4, P=0.262 F2,80=0.9, P=0.425 F1,80=0.0, P=0.836 F5,80=1.4, P=0.243 In SVL (Δmm/days) - F1,73=1.3, P=0.264 F2,73=1.2, P=0.299 F2,73=1.2, P=0.305 F1,73=0.0, P=0.922 F5,73=0.9, P=0.513 In mass (Δg/days) - F1,73=1.6, P=0.207 F2,73=0.4, P=0.689 F2,73=1.2, P=0.317 F1,73=0.0, P=0.995 F5,73=1.5, P=0.208 Trait Hatchling morphology Snout-vent length (mm) Tail length (mm) Mass (g) Condition (mass, g) Locomotor performance Running speed (cm/sec) # stops over 1 m Growth rate 1 Table S2. Expected and observed sex ratios under six experimental incubation treatments. Expected sex ratios were derived by calculating constant temperature equivalents (CTE) from the laboratory incubation treatments and comparing CTE values with results from a previouslypublished constant temperature incubation experiment (Harlow & Taylor 2000). The CTE is a value derived from thermal regimes that fluctuate around a constant mean and is equivalent to constant temperature incubation. Calculation of the CTE is based on a developmental zero of 17.2°C (see figure S1); specific details are provided in Georges (1989) and Georges et al. (1994, 2004). Incubation treatment CTE Expected sex ratio (% male) from Observed sex ratio (% male) constant incubation at the CTEa in present study 25°C constant 25.0°C 0 18.1 25±4°C 26.8°C 22.2b 30.0 25±8°C 30.4°C 33.3 50.0 28°C constant 28.0°C 30.0 42.9 28±4°C 29.4°C 40.0 31.6 28±8°C 32.6°C 26.9 21.1 a Eggs used in the constant incubation experiment (Harlow & Taylor 2000) were from different study populations than those used in the present study. b Sex ratio reported is from a constant 26°C because Harlow & Taylor (2000) did not incubate eggs at a constant 27°C. 2 100 0.25 (b) developmental rate (embryo stages/day) incubation duration (days) (a) 90 80 70 60 50 0.20 0.15 0.10 0.05 0.00 40 22 24 26 28 30 32 o 34 incubation temperature ( C) developmental zero = 17.2oC 18 20 22 24 26 28 30 32 34 incubation temperature (oC) Figure S1. Establishment of the developmental zero (i.e., the temperature at which development is arrested) for jacky dragon (Amphibolurus muricatus) embryos. The data for incubation duration at different temperatures (a) were derived from a previously-published study (Harlow & Taylor 2000). Developmental rate was calculated as the number of embryo stages encompassed during incubation divided by incubation duration (days) at each temperature. For A. muricatus, eggs are laid at embryonic stage 31 (Harlow 2004) and hatch at stage 40. Developmental rate was then regressed against incubation temperature (b). The regression equation (y=0.015x-0.260) predicted that the temperature at which development is arrested (i.e., zero development) is 17.2°C. This methodology for calculating the developmental zero gives equivalent results to regressing the inverse of incubation period against temperature (Georges 1989). 3 sex ratio (% male) 100 80 60 40 20 0 24 26 28 30 32 o CTE ( C) Figure S2. Relationship between constant temperature equivalent (CTE) and sex ratio in natural nests of the jacky dragon (Amphibolurus muricatus). Statistics are reported in the text. 4 Figure S3. Effects of incubation temperature means and thermal fluctuations on (a) hatchling snout-vent length and (b) tail length. Statistics are reported in Table S1. Least-squares means are reported. Error bars represent 1 SE. 5 REFERENCES Georges, A. 1989 Female turtles from hot nests: is it duration of incubation or proportion of development at high temperatures that matter? Oecologia 81, 323-328. Georges, A., Limpus, C. & Stoutjeskijk, R. 1994 Hatchling sex in the marine turtle Caretta caretta is determined by proportion of development at a temperature, not daily duration of exposure. J. Exp. Zool. 270, 432-444. Georges, A. Doody, S., Beggs, K. & Young, J. 2004 Thermal models of TSD under laboratory and field conditions. In Temperature-Dependent Sex Determination in Vertebrates (eds N. Valenzuela & V. A. Lance), pp. 79-89. Washington DC: Smithsonian Institution Press. Harlow, P. S. 2004 Temperature-dependent sex determination in lizards. In TemperatureDependent Sex Determination in Vertebrates (eds N. Valenzuela & V. A. Lance), pp. 42-52. Washington DC: Smithsonian Institution Press. Harlow, P. S. & Taylor, J. E. 2000 Reproductive ecology of the jacky dragon (Amphibolurus muricatus): an agamid lizard with temperature-dependent sex determination. Aust. Ecol. 25, 640-652. 6