The theoretical range of
δ15${\rm{N}}_{{\rm{NO}}_2^-} $ from assimilatory
${{\rm {NO}}_3^-} $ reduction or NH
3 oxidation is assessed below. In the case where the
${{\rm {NO}}_2^-} $ is entirely derived from the assimilated
${{\rm {NO}}_3^-} $ reduction, the possible range of
δ15${\rm{N}}_{{\rm{NO}}_2^-} $ depended on the
δ15N in the
${{\rm {NO}}_3^-} $ and the replenished during the
${{\rm {NO}}_3^-} $ reduction. In the upper waters of the Southern Ocean, the
δ15N value in
${{\rm {NO}}_3^-} $ is 7.4‰ (
Fripiat et al., 2019;
Kemeny et al., 2016), and the N isotope effect in assimilatory
${{\rm {NO}}_3^-} $ reduction is 5‰ (
Granger et al., 2004;
Karsh et al., 2012). By assuming that
${{\rm {NO}}_3^-} $ has constant replenishment, consistent initial concentration and isotopic composition, and constant kinetic N isotope effects, it is estimated that the
δ15${\rm{N}}_{{\rm{NO}}_2^-} $ produced by assimilatory
${{\rm {NO}}_3^-} $ reduction was 2.4‰. This
δ15${\rm{N}}_{{\rm{NO}}_2^-} $ value can be altered by the process of
${{\rm {NO}}_2^-} $ consumption. Since the kinetic effect of N isotopes in phytoplankton assimilation of
${{\rm {NO}}_2^-} $ is about 0‰ (
Waser et al., 1998), the
δ15N value in residual
${{\rm {NO}}_2^-} $ will remain at 2.4‰ if it is mostly consumed by phytoplankton assimilation. Differently, in the case where
${{\rm {NO}}_2^-} $ is mainly consumed by
${{\rm {NO}}_2^-} $ oxidation, the
15N value of residual
${{\rm {NO}}_2^-} $ is estimated to be between −17.6‰ and −6.6‰, due to the reverse kinetic effect of N isotopes in
${{\rm {NO}}_2^-} $ oxidation ranging from −20‰ to −9‰ (
Buchwald and Casciotti, 2010;
Casciotti, 2009). Therefore, taking the above estimates together, the range of
δ15${\rm{N}}_{{\rm{NO}}_2^-} $ via assimilatory
${{\rm {NO}}_3^-} $ reduction is from −17.6‰ to 2.4‰. Similarly, potential changes in
δ15${\rm{N}}_{{\rm{NO}}_2^-} $ from NH
3 oxidation were estimated by kinetic fractionation effects of N isotopes during remineralization and NH
3 oxidation processes. Since
δ15N of
${{\rm {NH}}_4^+} $ was not measured in this study, it is estimated by the
δ15N value of particulate organic nitrogen and the isotope effect of organic remineralization. The average
δ15N value of particulate organic nitrogen in the euphotic zone of the Southern Ocean is −2‰ (
Lourey et al., 2003). We assumed that the
δ15N of
${{\rm {NH}}_4^+} $ in the euphotic zone was 3‰ lower than that of particulate organic matter (
Buchwald and Casciotti, 2013;
Checkley and Miller, 1989;
Lehmann et al., 2002;
Macko et al., 1986;
Peng et al., 2018), and thus estimated the
δ15N value of
${{\rm {NH}}_4^+} $ to be −5‰. The fate of
${{\rm {NH}}_4^+} $ in seawater has two main pathways, one is assimilation by phytoplankton, and the other is oxidation of NH
3. The fractionation effect of N isotopes in NH
3 oxidation is fully manifested in the case that most of the
${{\rm {NH}}_4^+} $ is assimilated by phytoplankton and only a small part is oxidized to
${{\rm {NO}}_2^-} $ (
Chen and Chen, 2022;
Kemeny et al., 2016). Under this scenario, the
δ15${\rm{N}}_{{\rm{NO}}_2^-} $ value estimated from the kinetic N isotope effect (14‰−22‰;
Casciotti et al., 2003) in NH
3 oxidation varies from −27‰ to −19‰. Another scenario is that
${{\rm {NH}}_4^+} $ is mainly oxidized to
${{\rm {NO}}_2^-} $. In this case, the
δ15${\rm{N}}_{{\rm{NO}}_2^-} $ estimated from the kinetic effect of N isotopes in the
${{\rm {NH}}_4^+} $ assimilation by phytoplankton (about 0‰;
Hoch et al., 1992;
Vo et al., 2013) is close to the value of
δ15${\rm{N}}_{{\rm{NH}}_4^+} $ (i.e., −5‰). Meanwhile,
δ15${\rm{N}}_{{\rm{NO}}_2^-} $ produced by NH
3 oxidation is simultaneously affected by two
${{\rm {NO}}_2^-} $ consumption processes. In the case where
${{\rm {NO}}_2^-} $ is mainly assimilated by phytoplankton, the
δ15N value of residual
${{\rm {NO}}_2^-} $ remains unchanged, namely −5‰ or between −27‰ and −19‰. However, in the case where
${{\rm {NO}}_2^-} $ is mainly oxidized to
${{\rm {NO}}_3^-} $, the
δ15N value of residual
${{\rm {NO}}_2^-} $ will be between −14‰ and −25‰ or between −47‰ and −28‰.