. 2020 Sep;58(3):e2019RG000681. doi: 10.1029/2019RG000681

Table 1.

Overview of sensitivities of the Ocean Carbon System $(\frac{\partial response}{\partial driver})$ and Their Relations to Buffering Quantities in the Literature

Driver

Response

Sensitivity factor

Symbol

Name

Reference

(\frac{\partial pH}{\partial TA})

−Φ_H

β_{pH}^{- 1}

Chemical buffer factor

Inverse of Buffer capacity

Frankignoulle (1994)

van Slyke (1922)

lnH

(\frac{\partial lnH}{\partial TA})

β_{TA}^{- 1}

Egleston et al. (2010)

(\frac{\partial H}{\partial TA})

- β_{H}^{- 1}

Negative inverse of Proton concentration buffer factor

Hofmann et al. (2010a & 2010b)

pCO₂

(\frac{\partial p C O_{2}}{\partial TA})

−Π_H

Buffer factor

Frankignoulle (1994)

lnpCO₂

(\frac{\partial p C O_{2}}{\partial TA}) \frac{TA}{p C O_{2}} or

(\frac{\partial \ln p C O_{2}}{\partial lnTA})

γ_TA

Alkalinity factor

Sarmiento and Gruber (2006)

lnCO₂

(\frac{\partial lnC O_{2}}{\partial TA})

γ_{TA}^{- 1}

Egleston et al. (2010)

CO₂

\frac{1}{K_{0}} (\frac{\partial C O_{2}}{\partial TA})

−Π_H

Frankignoulle (1994)

lnCO₃ ²⁻

(\frac{\partial lnC O_{3}^{2 -}}{\partial TA})

ω_{TA}^{- 1}

Egleston et al. (2010)

DIC

(\frac{\partial pH}{\partial DIC})

β_{C O_{2}}^{- 1}

Frankignoulle (1994) and

Weber & Stumm (1963)

lnH

(\frac{\partial lnH}{\partial DIC})

β_{DIC}^{- 1}

Egleston et al. (2010)

pCO₂

(\frac{\partial p C O_{2}}{\partial DIC})

Π_D

Frankignoulle (1994)

lnpCO₂

(\frac{\partial p C O_{2}}{\partial DIC}) \frac{DIC}{p C O_{2}} or

(\frac{\partial \ln p C O_{2}}{\partial lnDIC})

B _hom

β _D

γ _DIC

Homogeneous buffer factor or Revelle factor

Bolin and Eriksson (1959),

Sundquist et al. (1979),

Frankignoulle (1994), and

Sarmiento and Gruber (2006)

lnCO₂

(\frac{\partial lnC O_{2}}{\partial DIC})

γ_{DIC}^{- 1}

Egleston et al. (2010)

(\frac{\partial TA}{\partial DIC})

Isocapnic quotient

Humphreys et al. (2018)

lnCO₃ ²⁻

(\frac{\partial lnC O_{3}^{2 -}}{\partial DIC})

ω_{DIC}^{- 1}

Egleston et al. (2010)

pCO₂

(\frac{\partial pH}{\partial p C O_{2}})

Φ_D

Frankignoulle (1994)

lnH

(\frac{\partial lnH}{\partial \ln p C O_{2}})

H⁻¹

Omta et al. (2010)

lnCO₃ ²⁻

(\frac{\partial C O_{3}^{2 -}}{\partial p C O_{2}}) \frac{p C O_{2}}{C O_{3}^{2 -}} or

(\frac{\partial lnC O_{3}^{2 -}}{\partial \ln p C O_{2}})

β_{C}^{- 1} O^{- 1}

Frankignoulle (1994) and

Omta et al. (2010)

Note. Based on the Hagens and Middelburg (2016a) approach, supporting information S2 explicitly links the various sensitivities.