Table E.1.
Best-fitting parameters.
| mstell | ||||||
| im200c | impeak | A | B | RMS res. | σ0.95, 0.5, 0.05 | |
| 1 | 1 | 17.9 ± 1.2 | 5.20 ± 0.17 | 0.087 | 0.67, 0.47, 0.00 | |
| 1 | 2 | 18.0 ± 0.7 | 5.38 ± 0.11 | 0.053 | 0.50, 0.41, 0.00 | |
| 1 | 3 | 11.3 ± 0.5 | 6.49 ± 0.12 | 0.022 | 0.24, 0.10, 0.00 | |
| 2 | 1 | 15.9 ± 1.4 | 5.15 ± 0.23 | 0.106 | 0.62, 0.43, 0.00 | |
| 2 | 2 | 16.7 ± 1.2 | 5.17 ± 0.19 | 0.092 | 0.49, 0.37, 0.00 | |
| 2 | 3 | 10.3 ± 0.4 | 5.66 ± 0.11 | 0.025 | 0.28, 0.16, 0.00 | |
| 3 | 1 | 14.4 ± 1.5 | 5.15 ± 0.27 | 0.112 | 0.59, 0.40, 0.00 | |
| 3 | 2 | 14.9 ± 1.3 | 5.05 ± 0.23 | 0.101 | 0.48, 0.39, 0.00 | |
| 3 | 3 | 9.9 ± 0.5 | 5.12 ± 0.11 | 0.032 | 0.30, 0.21, 0.00 | |
| mgas | ||||||
| im200c | impeak | A | β | γ | RMS res. | σ0.95, 0.5, 0.05 |
| 1 | 1 | 3.2 ± 0.2 | 0.96 ± 0.04 | 0.051 ± 0.011 | 0.011 | 0.15, 0.15, 0.00 |
| 1 | 2 | 5.8 ± 0.5 | 1.16 ± 0.04 | −0.010 ± 0.007 | 0.013 | 0.10, 0.10, 0.02 |
| 1 | 3 | 10.5 ± 1.3 | 1.43 ± 0.07 | −0.010 ± 0.008 | 0.017 | 0.09, 0.10, 0.01 |
| 2 | 1 | 3.3 ± 0.2 | 0.99 ± 0.02 | 0.157 ± 0.013 | 0.006 | 0.19, 0.13, 0.00 |
| 2 | 2 | 6.0 ± 0.4 | 1.17 ± 0.03 | 0.022 ± 0.007 | 0.010 | 0.13, 0.10, 0.01 |
| 2 | 3 | 10.6 ± 1.0 | 1.37 ± 0.05 | 0.010 ± 0.007 | 0.012 | 0.13, 0.10, 0.01 |
| 3 | 1 | 1.6 ± 0.0 | 0.81 ± 0.01 | 0.580 ± 0.012 | 0.001 | 0.24, 0.12, 0.00 |
| 3 | 2 | 5.1 ± 0.5 | 1.12 ± 0.04 | 0.092 ± 0.014 | 0.010 | 0.17, 0.10, 0.00 |
| 3 | 3 | 8.0 ± 0.8 | 1.24 ± 0.05 | 0.064 ± 0.012 | 0.011 | 0.16, 0.08, 0.00 |
| Mr | ||||||
| im200c | impeak | A | B | RMS res. | σ0.95, 0.5, 0.05 | |
| 1 | 1 | 5.3 ± 0.2 | 1.27 ± 0.04 | 0.049 | 0.61, 0.88, 0.00 | |
| 1 | 2 | 4.7 ± 0.1 | 0.99 ± 0.01 | 0.023 | 0.50, 0.84, 0.00 | |
| 1 | 3 | 7.2 ± 0.1 | 0.95 ± 0.01 | 0.020 | 0.38, 0.55, 0.00 | |
| 2 | 1 | 5.4 ± 0.2 | 1.12 ± 0.04 | 0.056 | 0.59, 0.89, 0.00 | |
| 2 | 2 | 4.8 ± 0.1 | 0.86 ± 0.03 | 0.055 | 0.50, 0.67, 0.00 | |
| 2 | 3 | 6.0 ± 0.2 | 0.83 ± 0.02 | 0.031 | 0.39, 0.69, 0.00 | |
| 3 | 1 | 5.8 ± 0.2 | 1.10 ± 0.04 | 0.060 | 0.58, 0.87, 0.00 | |
| 3 | 2 | 4.9 ± 0.2 | 0.81 ± 0.03 | 0.056 | 0.49, 0.67, 0.00 | |
| 3 | 3 | 5.5 ± 0.1 | 0.75 ± 0.02 | 0.037 | 0.39, 0.55, 0.00 | |
| MU | ||||||
| im200c | impeak | A | B | RMS res. | σ0.95, 0.5, 0.05 | |
| 1 | 1 | 5.3 ± 0.2 | 1.27 ± 0.04 | 0.049 | 0.61, 0.88, 0.00 | |
| 1 | 2 | 4.7 ± 0.1 | 0.99 ± 0.01 | 0.023 | 0.50, 0.84, 0.00 | |
| 1 | 3 | 7.2 ± 0.1 | 0.95 ± 0.01 | 0.020 | 0.38, 0.55, 0.00 | |
| 2 | 1 | 5.4 ± 0.2 | 1.12 ± 0.04 | 0.056 | 0.59, 0.89, 0.00 | |
| 2 | 2 | 4.8 ± 0.1 | 0.86 ± 0.03 | 0.055 | 0.50, 0.67, 0.00 | |
| 2 | 3 | 6.0 ± 0.2 | 0.83 ± 0.02 | 0.031 | 0.39, 0.69, 0.00 | |
| 3 | 1 | 5.8 ± 0.2 | 1.10 ± 0.04 | 0.060 | 0.58, 0.87, 0.00 | |
| 3 | 2 | 4.9 ± 0.2 | 0.81 ± 0.03 | 0.056 | 0.49, 0.67, 0.00 | |
| 3 | 3 | 5.5 ± 0.1 | 0.75 ± 0.02 | 0.037 | 0.39, 0.55, 0.00 | |
Notes. Best-fitting parameters for the analytic models describing the evolution of stellar mass as a function of the remaining maximum circular velocity fraction, gas mass as a function of the remaining subhalo mass fraction, and the r- and U-band magnitudes as a function of the remaining maximum circular velocity fraction are shown. The indices im200c = 1, 2, and 3 correspond to the log(m200c/h−1M⊙)=13.0, 13.5, and 14.0 host-halo-mass selections, respectively, while impeak = 1, 2, and 3 correspond to the 11.0 < log(mpeak/h−1M⊙)< 11.5, 11.5 < log(mpeak/h−1M⊙)< 12.0, and 12.0 < log(mpeak/h−1M⊙)< 12.5 peak-subhalo-mass selections, respectively. Each table also lists the root-mean-square residual between the measured median relation and the best-fitting model (RMS res.), as well as the scatter of each relation evaluated at x = 0.95, 0.5, and 0.05 (σ0.95, 0.5, 0.05, and σ0.05), where x denotes the independent variable used in the corresponding fit.
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