The effect of a biosphere on the habitable timespan of stagnant-lid planets and implications for the atmospheric spectrum

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Table 1

Constants used in the model.

Parameter	Description	Value
α	Constant, Eq. (1)	0.33 ⁽¹⁾
E_a	Eff. activation energy for silicate weathering	3.8 · 10⁴ J mol^{−1 (2)}
M_o	Ocean mass	1.35 · 10²¹ kg ⁽¹⁾
a_min	Min. atm. CO₂ for plant growth	10 ppm ⁽³⁾
B_T,E	Constant	0.8352 ppm ⁽⁴⁾
a_1/2	Constant	181 ppm⁽⁴⁾
F_{sf ,E}	Pre-industrial seafloor-weathering rate	1.75 · 10¹² mol yr^{−1 (5)}
T_s,E	Pre-ind. surf. temperature	287 K
$p_{{CO}_{2}, E}$ ${p_{{\rm{C}}{{\rm{O}}_2},{\rm{E}}}}$	Pre-ind. atm. CO₂	280 ppm
ξ	Pre-ind. fraction of abiotic weathering	0.25 ⁽⁶⁾
f_de𝑔as	Frac. temp. crustal carbon reservoir that degasses	0.02 ⁽⁷⁾

Notes. ⁽¹⁾Krissansen-Totton & Catling (2017), ⁽²⁾Palandri & Kharaka (2004), ⁽³⁾Bergman et al. (2004), ⁽⁴⁾Höning (2020), ⁽⁵⁾Mills et al. (2014), ⁽⁶⁾upper value considered by Lenton et al. (2018), ⁽⁷⁾Höning et al. (2019).

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