We calculated the seawater pH for the study sites, using the modern atlas data of temperature and salinity from SODA2.1.6 (
Carton and Giese, 2010), [
${\rm{PO}}_4^{3 - }$] from WOA09 (
Garcia et al., 2010) and ALK from GLODAP (
Key et al., 2004). The pH values are calculated based on the estimated [
${{\rm{B}}\left( {{\rm{OH}}} \right)_4^ - }$]/[
${{\rm{HCO}}_3^ - }$] as well as temperature, salinity, alkalinity and pressure at the defined calcification depth, following the approach described by
Tripati et al. (2009). The calculated pH results are shown against the modern seawater pH (GLODAP) in three groups of various
KD: (1)
KD×10
3 = 1.19 (the mean value) (
Figs 7a and
b); (2)
KD calibrated by Cd/Ca-derived [
${\rm{PO}}_4^{3 - }$] (
Figs 7c and
d); (3)
KD estimated by WOA09 [
${\rm{PO}}_4^{3 - }$] (
Figs 7e and
f). Calculations based on different ALK, from GLODAP (
Key et al., 2004) (
Figs 7b,
d and
f) or estimated by
δ18O-derived salinity (ALK=43.173×Salinity+798.62, derived from the ALK and salinity data of tropical Indo-Pacific of GLODAP,
Figs 7a,
c and
e), are also compared. It is demonstrated that an average
KD value is clearly not applicable for the pH estimation, as the results differ largely from the observed seawater pH of GLODAP (
Figs 7a and
b). While, the Cd/Ca- or [
${\rm{PO}}_4^{3 - }$]-corrected
KD may result in proper pH estimations, as indicated by the significant correlations and close relations with respect to the observed pH (
Figs 7c–
f). It is further implied that the uncertainties of
δ18O-salinity and salinity-alkalinity calibrations may introduce little influence for the pH calculation, at least for the results of this study. Therefore, we may propose that for
P. obliquiloculata of the tropical Indo-Pacific, a combination of B/Ca and Cd/Ca (as well as Mg/Ca and
δ18O) could serve as a rather applicable proxy method for estimating the subsurface seawater pH and the other carbonate system parameters. However, given the limited number of samples of this study, the calibrations given in this study may need further examination before applying to paleo-reconstructions. The uncertainties of the pH calculation using B/Ca method are large (e.g.,
Tripati et al., 2009). The variability of the relationship between salinity and
δ18O would introduce significant uncertainty into the pH calculation, especially for paleo-reconstructions.