Table 1
Values of the parameters of the DTDs considered in this work.
| DTD parameters | |||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Gaussian | Exponential | Inverse | |||||||||||
| DTD scenarios | AG (Gyr)−1 | τ′ (Gyr) | σ′ (Gyr) | τ1, G (Gyr) | τ2, G (Gyr) | AE (Gyr)−1 | τD (Gyr) | τ1, E (Gyr) | τ2, E (Gyr) | AI (Gyr)−1 | τ0 (Gyr) | τ1,I (Gyr) | τ2,I (Gyr) |
| −0.95 | 0.09 | 0.20 | 0.03 | 1.61 | 20.91 | 0.58 | 0.03 | 1.61 | −0.06 | 0.00 | 0.03 | 1.61 | |
| 0.19 | 0.23 | 0.13 | 0.03 | 1.61 | −76.85 | 1.15 | 0.03 | 1.61 | 0.83 | 0.00 | 1.61 | 13.80 | |
| −0.06 | 1.28 | 0.20 | 0.03 | 1.61 | 61.41 | 1.73 | 0.03 | 1.61 | / | / | / | / | |
| Single Degenerate | / | / | / | / | / | 65.76 | 2.30 | 0.03 | 1.61 | / | / | / | / |
| (Matteucci & Recchi 2001, | / | / | / | / | / | −67.93 | 2.88 | 0.03 | 1.61 | / | / | / | / |
| MR01) | / | / | / | / | / | 0.03 | 1.79 | 1.61 | 13.80 | / | / | / | / |
| / | / | / | / | / | −1.05 | 3.59 | 1.61 | 13.80 | / | / | / | / | |
| / | / | / | / | / | 1.77 | 5.38 | 1.61 | 13.80 | / | / | / | / | |
| / | / | / | / | / | −1.13 | 7.18 | 1.61 | 13.80 | / | / | / | / | |
| −0.01 | 0.09 | 0.09 | 0.04 | 0.40 | 3.44 | 3.19 | 0.04 | 0.40 | −0.06 | 0.00 | 0.04 | 0.40 | |
| −0.06 | 0.40 | 0.10 | 0.40 | 13.80 | −2.02 | 6.38 | 0.04 | 0.40 | 0.04 | 0.35 | 0.40 | 13.80 | |
| 0.08 | 0.40 | 0.20 | 0.40 | 13.80 | 0.27 | 2.80 | 0.40 | 13.80 | / | / | / | / | |
| WIDE Double Degenerate | 0.02 | 0.40 | 0.30 | 0.40 | 13.80 | −0.65 | 5.36 | 0.40 | 13.80 | / | / | / | / |
| (Greggio 2005, WIDE G05) | −0.09 | 0.40 | 0.40 | 0.40 | 13.80 | 0.64 | 7.91 | 0.40 | 13.80 | / | / | / | / |
| 0.12 | 0.40 | 0.50 | 0.40 | 13.80 | 1.52 | 10.47 | 0.40 | 13.80 | / | / | / | / | |
| / | / | / | / | / | −3.31 | 13.02 | 0.40 | 13.80 | / | / | / | / | |
| / | / | / | / | / | 1.69 | 15.57 | 0.40 | 13.80 | / | / | / | / | |
| −1.84E-2 | 0.10 | 0.02 | 0.04 | 0.40 | 9.92 | 0.27 | 0.04 | 0.40 | −0.13 | 0.00 | 0.04 | 0.40 | |
| 0.07 | 0.24 | 0.02 | 0.04 | 0.40 | −0.23 | 0.54 | 0.04 | 0.40 | 0.50 | 0.33 | 0.40 | 13.80 | |
| 0.08 | 0.30 | 0.02 | 0.04 | 0.40 | −34.92 | 0.81 | 0.04 | 0.40 | −1.18 | 0.30 | 0.40 | 13.80 | |
| 0.02 | 0.18 | 0.02 | 0.04 | 0.40 | 29.04 | 1.09 | 0.04 | 0.40 | 0.68 | 0.25 | 0.40 | 13.80 | |
| 0.04 | 0.36 | 0.02 | 0.04 | 0.40 | 0.22 | 0.14 | 0.40 | 13.80 | / | / | / | / | |
| CLOSE Double Degenerate | 0.03 | 0.08 | 0.02 | 0.04 | 0.40 | 1.71 | 0.24 | 0.40 | 13.80 | / | / | / | / |
| (Greggio 2005, CLOSE G05) | 0.14 | 0.40 | 0.10 | 0.40 | 13.80 | −0.04 | 0.52 | 0.40 | 13.80 | / | / | / | / |
| 2.27E-3 | 3.00 | 1.32 | 0.40 | 13.80 | 0.03 | 0.93 | 0.40 | 13.80 | / | / | / | / | |
| −2.97E-2 | 1.32 | 1.81 | 0.40 | 13.80 | 0.10 | 2.17 | 0.40 | 13.80 | / | / | / | / | |
| −1.68E-3 | 6.00 | 2.07 | 0.40 | 13.80 | / | / | / | / | / | / | / | / | |
| −3.07E-3 | 4.60 | 1.47 | 0.40 | 13.80 | / | / | / | / | / | / | / | / | |
| −9.54E-5 | 7.80 | 1.87 | 0.40 | 13.80 | / | / | / | / | / | / | / | / | |
| Empirical bimodal distribution | 19.95 | 0.05 | 0.01 | 0.03 | 10.05 | 0.17 | 3.00 | 0.03 | 10.05 | / | / | / | / |
| (Mannucci et al. 2006, MPV06) | |||||||||||||
| Empirical ∝ t−1 | / | / | / | / | / | / | / | 1.00 | 0.00 | 0.10 | 10.00 | ||
| (Totani et al. 2008, T08) | |||||||||||||
| −0.15 | 3.5E-3 | 0.10 | 0.03 | 13.80 | 0.69 | 5.56 | 0.03 | 13.80 | −0.03 | 0.03 | 0.03 | 13.80 | |
| Empirical ∝ t−1/2 | / | / | / | / | / | −3.38 | 11.07 | 0.03 | 13.80 | 0.31 | 0.02 | 0.03 | 13.80 |
| (Pritchet et al. 2008, P08) | / | / | / | / | / | 5.57 | 16.58 | 0.03 | 13.80 | −0.83 | 0.01 | 0.03 | 13.80 |
| / | / | / | / | / | −2.75 | 22.09 | 0.03 | 13.80 | 0.60 | 0.01 | 0.03 | 13.80 | |
| Empirical Gaussian | 1.00 | 3.40 | 0.68 | 0.25 | 13.80 | / | / | / | / | / | / | ||
| (Strolger et al. 2004, 2005, S05) | |||||||||||||
Notes. Without losing generality, we can set τI = 1.00 Gyr. For the MR01 DTD we assume γ = 0.5 (Bonaparte et al. 2013), while the WIDE and CLOSE G05 DTDs are defined by the tuple of parameters (τn,x = 0.4 Gyr, ßa = 0) and (τn,x = 0.4 Gyr, ßg = −0.975), respectively (Greggio 2005). A version of this table with higher decimal precision is available at the CDS.
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