Table 3
Parameters used in the retrievals, their input values, prior distributions, and the validation results.
| Parameter | Description | Input | Prior | Validation |
|---|---|---|---|---|
 |
P−T Parameter (Degree 4) | 1.14 |  |
 |
| a3 | P−T parameter (Degree 3) | 23.12 |  |
 |
| a2 | P−T Parameter (Degree 2) | 99.70 |  |
 |
| a1 | P−T Parameter (Degree 1) | 146.63 |  |
 |
| a0 | P−T Parameter (Degree 0) | 285.22 |  |
 |
| log10 (P0 [bar]) | Surface pressure | 0.006(1) |  |
 |
| Rpl [R⊕] | Planet radius | 1.0 |  |
 |
| log10 (Mpl [M⊕]) | Planet mass | 0.0 |  |
 |
| log10(N2) | N2 Mass fraction | −0.107(1),(2) |  |
 |
| log10(O2) | O2 Mass fraction | −0.679(1),(2) |  |
 |
| log10(H2O) | H2O Mass fraction | −3.000 |  |
 |
| log10(CO2) | CO2 Mass fraction | −3.387(1),(2) |  |
 |
| log10(CH4) | CH4 Mass fraction | −5.770(1),(2) |  |
 |
| log10(O3) | O3 Mass fraction | −6.523(2) |  |
 |
| log10(CO) | CO Mass fraction | −6.903(2) |  |
 |
| log10(N2O) | N2O Mass fraction | −6.495(2) |  |
 |
Notes. The last column shows the output value with 1σ uncertainties for each parameter obtained in the validation run (Sect. 3). Here, 
denotes a boxcar prior with a lower threshold x and upper threshold 
represents a Gaussian prior with mean μ and standard deviation σ. For a4 we choose a prior on 
, which allows us to sample small values more densely, typical of a fourth order coefficient, and then take the fourth power to obtain a4.
References.(1) NASA’s planet factsheet: https://nssdc.gsfc.nasa.gov/planetary/factsheet/earthfact.html(2) Table A.1 in Seager et al. (2016)
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