In the calculation of
KD, the parameters needed are temperature, salinity, phosphate, ALK, DIC, and B/Ca. Using temperature, salinity, phosphate, DIC, and ALK data, we can calculate [
${\rm{HCO}_{3}^{-}}$] and [
$\rm{B}(\rm{OH})_{4}^{-} $], and then combine them with B/Ca to obtain the value of
KD from Eq. (2). Temperature, salinity, and phosphate are not part of the carbonate system, and so their correlation with the
KD values for B/Ca may be a true response to the effects of these environmental parameters on
KD. To verify this hypothesis, we replaced the values of the other environmental parameters with mean values throughout the calculation of
KD, and then explored the effect of changes in individual variables (e.g., temperature, salinity, or phosphate) on
KD values. The
KD values generated through changing a single variable are very similar (
Fig. 10), indicating that temperature, salinity, and phosphate alone have little effect on the
KD values. Thus, the data show that the significant dependence of
KD on temperature (
Fig. 8a), salinity (
Fig. 9b), and phosphate (
Fig. 9c) reported in this study is robust. In addition, in light of the lack of correlation between the
KD values of
N. dutertrei and salinity and phosphate (
Figs 8b and
c), we derived an empirical relationship between
KD for B/Ca in
N. dutertrei and temperature in the tropical western Pacific as follows (
Fig. 8a):