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# Ambient nitrate switches the ammonium consumption pathway in the euphotic ocean

## Abstract

Phytoplankton assimilation and microbial oxidation of ammonium are two critical conversion pathways in the marine nitrogen cycle. The underlying regulatory mechanisms of these two competing processes remain unclear. Here we show that ambient nitrate acts as a key variable to bifurcate ammonium flow through assimilation or oxidation, and the depth of the nitracline represents a robust spatial boundary between ammonium assimilators and oxidizers in the stratified ocean. Profiles of ammonium utilization show that phytoplankton assemblages in nitrate-depleted regimes have higher ammonium affinity than nitrifiers. In nitrate replete conditions, by contrast, phytoplankton reduce their ammonium reliance and thus enhance the success of nitrifiers. This finding helps to explain existing discrepancies in the understanding of light inhibition of surface nitrification in the global ocean, and provides further insights into the spatial linkages between oceanic nitrification and new production.

## Introduction

Ammonium (NH4+) is a central component in the marine nitrogen cycle. The relative flow of NH4+ through assimilation by phytoplankton versus oxidation by microbial nitrifiers largely determines the composition of the upper ocean nitrogen pool, which plays a crucial role in controlling marine productivity and the export of fixed carbon in the ocean1. The pathway to organic nitrogen through assimilation represents regenerated production, while the pathway to nitrate (NO3) through nitrification fuels new production and produces the greenhouse gas nitrous oxide (N2O). The two competing pathways are known to show spatial separation in some oceans, where nitrification occurs deeper than ammonium assimilation, and this separation has long been assumed to be light-modulated2, 3. However, this view is challenged by recent evidence of active nitrification in the sunlit ocean4,5,6,7,8. Intriguingly, surveys on distributions of nitrification in the global sunlit ocean exhibit paradoxical results. In the subtropical North Atlantic, nitrification in the euphotic zone appears to be inactive during winter when light irradiance is low9, 10 and becomes more active in late spring and summertime with higher light intensity4, 5, resulting in a counterintuitive light effect on nitrification. In the North Pacific, nitrification remains undetectable in the entire euphotic zone of the subtropical gyre, but is prominent even at the surface in high latitude and equatorial areas where subsurface waters outcrop6. These inconsistencies indicate additional controls on nitrification are likely.

Nutrient concentrations are another fundamental environmental parameter influencing biogeochemical processes. They exert primary control on species composition, cell size structure, and associated nutrient uptake capacity of phytoplankton assemblages in the ocean11,12,13,14,15, with significant variation in uptake and growth kinetics of phytoplankton communities occurring under different nutrient conditions, including increasing half-saturation concentrations from oligotrophic to nutrient replete regions16. Thus, we hypothesize the nutrient status to be an essential controlling factor on NH4+ flows in upper ocean waters through regulating the relative competitiveness of phytoplankton and nitrifiers under limiting levels of NH4+.

To explore controls of NH4+ cycling by the interactive relationships between phytoplankton and nitrifiers, simultaneous rate measurement of NH4+ assimilation and oxidation is necessary; surprisingly, such data remain sparse. To our knowledge, direct comparison of NH4+ utilization capabilities between phytoplankton and nitrifiers is missing to date in both laboratory and field studies.

To address this gap and to unravel the biogeochemical implications of ammonium pathways in dynamic oceans, we measured simultaneously NH4+ uptake, NO3 uptake, and nitrification rates, at sites spanning a wide range of nutrient conditions from coastal to open ocean waters in the South China Sea and the Northwestern Pacific Ocean (Supplementary Fig. 1). By using isotope labeling techniques and a refined rate calculation approach (see Methods), we obtained multiple rate profiles with high vertical sampling resolution, which allowed us to capture the sharp gradients in biological processes and associated physical-chemical conditions in the upper ocean.

Moreover, for the first time, we compared the competitive capabilities of nitrifiers and phytoplankton by testing their underlying ammonium utilization kinetics (specifically, the potential maximum reaction rate Vmax, the half saturation concentration Ks, and the substrate affinity α)12, 17, at varying light and nutrient levels. This kinetic information provides robust evidence regarding the competitive advantages of nitrifiers versus phytoplankton for NH4+, under different environmental conditions. We find that ambient NO3 level, which regulates phytoplankton’s reliance and affinity toward NH4+, is a key variable to bifurcate NH4+ flow through assimilation versus oxidation.

## Results

### NH4+ uptake and nitrification rates

In the South China Sea, all three stations (X2, H3, and D1) displayed typical shallow stratification of the subtropical oligotrophic ocean in warm seasons. Based on a temperature threshold criterion with a difference of 0.8 °C from the surface value18, we found that X2 held the deepest and strongest stratification with mixed layer depth of 50 m. Station H3 showed the second strongest stratification despite it held mixed layer depth of around 20 m similar to D1 (Supplementary Fig. 2). By defining the mid-point (average) of the depth range with the steepest gradient as the location (depth) of the nitracline19, we found the depths of the surface mixed layer and the nitracline co-varied. As the nitracline shoaled, the deep chlorophyll maximum (DCM) migrated upward accompanied by higher Chl-a (Fig. 1a–c) and higher particulate organic nitrogen (PON) (Supplementary Fig. 2). Corresponding to such migration, the light penetration depth was influenced by the biomass (see PON levels in Supplementary Fig. 2) with attenuation coefficients of 0.07 at D1, 0.06 at H3, and to 0.05 for X2. Here, the euphotic zone was defined by the 0.1% surface photosynthetically active radiation (sPAR) depth, because low levels of NH4+ uptake were observed below the 1% sPAR level. The euphotic depth thus deepened from 95 m at D1 to 115 m at Station H3 and 140 m at X2, being positively correlated with the nitracline depth. NH4+ concentrations were low (1–74 nmol L−1) without clear vertical maxima. By contrast, primary nitrite maxima (PNM, with maximal concentrations ranging from 185.5 to 254.0 nmol L−1) were observed slightly above the 1% sPAR depth and below the DCM for all stations. NO3 was depleted in the mixed layer for all stations (<0.2 μmol L−1) and remained low downward until the depth of the gradient-defined nitracline. Interestingly, below the DCM layer at all stations there were distinct NO3/SiO4−4 maxima with peak values ranging from 1.1 to 1.2 (Supplementary Fig. 2), suggesting preferential remineralization and nitrification of N in sinking particle had occurred20, 21.

The paired light and dark incubations provide direct evidence of light effects on phytoplankton and nitrifiers. Nitrification rates were significantly higher in the dark than in the light at all sites (p < 0.05, Supplementary Table 1); the inhibition effect was most prominent in the upper euphotic zone and decreased downward with the attenuation of light (Supplementary Fig. 3a–c). Nevertheless, detectable rates (higher than the detection limit of 0.04–0.16 nmol N L−1 d−1, see Methods) remained in the dark incubations in the upper euphotic layer at most of our study sites, indicating recovery of ammonia oxidizers from photo damage. In other words, the efficiency of nitrification was substantially reduced but not completely inhibited within a diel cycle. Conversely, light enhanced NH4+ uptake was low in the dark (Supplementary Fig. 3d–f), although the differences between light and dark rates were not as significant as for nitrification (Supplementary Table 1). Thus our results also reinforce the necessity of paired light and dark incubations to obtain precise reaction rates.

The most striking feature of the NH4+ uptake and nitrification rate profiles was their inverse unimodal distributions, with assimilation above and nitrification below a remarkably strong transition boundary at the nitracline, regardless of its depth or irradiance level (Fig. 1d–f, Supplementary Fig. 4). This implies ambient nitrate might play an important role in niche partitioning of NH4+ assimilation versus oxidation. NH4+ uptake was active above the nitracline with peak values ranging from 5.4 to 27.8 nmol N L−1 d−1 for the three stations. Dramatic downward decreases (reduction by 73−82% within 20 m) in NH4+ uptake were found near the nitracline, and the rate remained detectable throughout the lower euphotic zone. By contrast, nitrification was low or undetectable in the mixed layer and increased rapidly downward around the nitracline, peaking (with maximum rates of 5.9−22.2 nmol N L−1 d−1) near the PNM and upper oxycline. Below the depth of the nitrification maximum, rates decreased gradually toward greater depth. The vertical distribution pattern of nitrification broadly agrees with current recognition that nitrification is fueled by remineralization of organic matter22 and contributes a considerable amount of NO2 to form and maintain the PNM23, 24. The values of maximum NH4+ uptake and nitrification were comparable, suggesting both pathways actively contributed to the consumption of NH4+, but in separate domains in the sunlit oligotrophic ocean.

To further examine the applicability of the observed relationship between nitrate concentration and NH4+ consumption pathways, we measured NH4+ uptake and nitrification rates in the Northwest Pacific Ocean. Five stations across coastal, shelf, and open ocean conditions, with large gradients in surface nutrients and biological activities were selected (Supplementary Fig. 5). The coastal station showed significantly higher nutrient and biological activities (inferred from fluorescence and PON) while the open ocean stations all showed shallower nitraclines and lower biomass (Supplementary Fig. 5). For the shelf (P5 and C5) and basin (K1 and X1) stations with shallow stratification, the transition boundaries from NH4+ uptake dominance to oxidation dominance were observed in every case to be near the corresponding nitraclines (i.e. at the same depth within the site specific 5–10 m resolution of the sampling). At the eutrophic coastal station P1, where no nitracline was present, NH4+ uptake and nitrification co-occurred throughout the water column (Fig. 2), similar to results observed in Monterey Bay7. These results from a wide range of environmental conditions demonstrate a ubiquitous regulatory influence of nitrate on the competition for NH4+ between phytoplankton and nitrifiers.

### NH4+ utilization capabilities

We investigated the dependence of nitrification and NH4+ uptake rates on substrate concentration by adding different amounts of isotopic-tracer-labeled substrate, providing a method that calibrates enhancement of rates by tracer enrichment25. The observed kinetic responses also enable us to compare the competitive capability of these organisms towards the limiting nutrient12, 17. Values of Vmax for nitrification were significantly higher than NH4+ uptake below the nitracline where NO3 was replete (p < 0.05) (Fig. 3a, Supplementary Fig. 6 and Supplementary Table 2). The Ks for nitrification did not show a clear vertical trend, whereas the Ks for NH4+ uptake by phytoplankton exhibited values below the nitracline higher than above, although with strong variability (Fig. 3b). Accordingly, a clear difference between nitrifiers and phytoplankton in affinity (α) toward NH4+ was observed under different NO3 concentrations, the α of phytoplankton was higher above the nitracline while the α of nitrifiers was higher below (p < 0.01) (Fig. 3c, Supplementary Table 2). These differences in substrate affinity above and below the nitracline obviously reflect the relative competitive advantages between phytoplankton and nitrifiers.

## Discussion

Our results suggest light inhibition of nitrifiers is not the single determinant for the distribution of nitrification in the surface ocean. In spite of the inhibition of ammonia oxidizers by light via photo damage to the key enzyme ammonia monooxygenase, as well as other membrane components26 or the toxicity of reactive oxygen species27, some taxa of marine AOA have been identified as having genetic capabilities to reduce oxidative stress and repair ultraviolet damage28, 29 and thus appear to be resistant to light in the upper ocean30, 31. Consistent with these perspectives, our paired incubations showed that light-inhibited nitrifiers either recovered in the dark or some portion of their population was light resistant (Supplementary Fig. 3a–c). Consequently, detectable nitrification rates were observed even in the surface layer (Supplementary Fig. 4). This is consistent with reported nitrification rates in the euphotic zones of a wider range of environments, which all exhibit resistance to light inhibition6,7,8, 24, 25.

The co-variation of light and NO3 in the stratified oligotrophic ocean often obscures differentiating their effects on regulating euphotic nitrification. Nevertheless, our measurements with high vertical resolution combined with the kinetic tests allowed us to distinguish the role of NO3 from light and thus to give a more comprehensive evaluation of the underlying mechanisms of NH4+ consumption. Unexpectedly, we found that the nitrification rates have stronger correlations with NO3 concentrations than with light levels, from the surface to the depth of the rate maxima (Supplementary Fig. 7). Moreover, we observed the depth transition from NH4+ uptake to nitrification was highly consistent with the depth of the nitracline (Figs. 1, 2, Supplementary Fig. 4), even though light intensity at this depth varied among the stations. These results suggest a previously unrealized ecological control of NO3 in structuring the spatial domains of nitrifiers.

According to our kinetic tests, the nitrifier and phytoplankton communities had similar Ks values for NH4+ in layers above the nitracline (Fig. 3b), and these values were consistent with field and laboratory studies25, 32, 33. However, the Vmax and α values were higher for phytoplankton above the nitracline (Fig. 3a), resulting in a competitive advantage of phytoplankton toward NH4+. Light stimulates phytoplankton growth, and dark does not damage these cells, and accordingly the phytoplankton showed significantly higher Vmax than nitrifiers over the diel cycle. Phytoplankton thus outcompete ammonia oxidizers to be the main NH4+ consumer in the surface mixed layer. Below the nitracline, by contrast, significantly higher values of Vmax and α for nitrification evidence a competitive advantage for nitrifiers over phytoplankton (p < 0.05, Supplementary Table 2). This was due to the benefit of reduced light inhibition on nitrifiers (Supplementary Fig. 3) as well as the reduction in affinity of phytoplankton toward NH4+.

In fact, our rate profiles demonstrate a downward shift of nitrogen source for phytoplankton from NH4+ to NO3. The NO3 uptake rates showed an increasing trend with depth and peaked around the nitracline, and the rates remained significantly higher than NH4+ uptake rates below the nitracline at all sites (p < 0.05). Similar results of higher NO3 than NH4+ uptake rates have also been observed at BATs during the deep mixed layer season5. Because NO3 utilization is more energetically costly, the low NH4+ uptake rates were unlikely to be caused by light deficiency, an alternative possible cause is the high nutrient and low light conditions, which often lead to eukaryotic phytoplankton dominance. Previous studies have shown the interactions of NH4+ and NO3 uptake by phytoplankton appear to be highly diverse and vary with changes in species, preconditioning (nutrient history) and light34,35,36. For example, incubation of diatoms under low light shows high NO3 uptake rates in spite of high NH4+ enrichment37. Our results are also supported by short-term experiments that find phytoplankton are less reliant on NH4+ as their nitrogen source, when pre-conditioned with enriched NO3 (compared to preconditioning with NH4+)34, and with no inhibition of NO3 uptake by NH4+ under low light, possibly due to acclimation to satisfy nitrogen requirements for cell growth35 or because of enzymatic rather than energetic limitation of growth36. Analogous subsurface NO3 uptake maxima have also been observed in the North Atlantic subtropical gyre, associated with elevated abundances of picoeukaryotes, implying their active uptake of NO338, which is also evidenced by the δ15N of sorted picoeukaryotes39. Moreover, our NO3 uptake rates showed significant positive correlation with fluorescence at all our study sites (p < 0.01, R2 = 0.63, Supplementary Table 3), providing additional evidence that the phytoplankton communities below the nitracline were predominantly dependent on NO3 (Fig. 1a–c). Comprehensive understanding of the distinctive and variable kinetic responses of NH4+ and NO3 uptake to varying light and nutrient conditions and histories remains unclear, but the spatially decoupled maximum Vmax of NH4+ uptake (at 15 m) and NO3 uptake (around the nitracline) demonstrate strongly divergent nutrient utilization strategies for the phytoplankton communities living in different nutrient conditions. Collectively, these results suggest that the downward increase of ambient NO3 concentration has an important role in modulating the relative competitiveness of phytoplankton and nitrifiers for NH4+, likely via its influence on phytoplankton community structure.

This mechanism for reduced phytoplankton reliance on ammonium at depth as a result of structuring of the community by nutrient availability is consistent with broader ecological theory in which ambient nutrient conditions are regarded as the most important factor in determining the structure and mean cell size of phytoplankton communities in marine environments14, 15, 40, with oligotrophic regions dominated by phytoplankton with small cell size, and larger cells present in nutrient-replete regions. Consistent with this generality, transition from prokaryote dominance of the phytoplankton community in the mixed layer to eukaryote dominance below the nitracline was evidenced by pigment data in the SCS (for instance, in the H3 station of our cruise, prokaryotic phytoplankton account for 85.5 ± 0.1% of total biomass in the mixed layer and the ratio of eukaryotes increase to 67.8 ± 2.9% from DCM to the bottom of euphotic zone, Supplementary Fig. 8). Dominance of Prochlorococcus in the mixed layer and increase of eukaryotes near the nitracline has been previously observed at other locations in our study area41, 42 as well as other low latitude oligotrophic oceans43, 44. Prochlorococcus preference on NH4+ is consistent with short-term incubations of flow-cytometrically sorted Prochlorococcus populations, of which NO3 was found to account for only <10% of their nitrogen source45, despite their genetic capability to utilize NO346. By contrast, eukaryotic phytoplankton often show higher nutrient demand and higher nutrient Ks values due to their larger cell size11, 13, 47, 48. This is consistent with our results showing that the Ks of NH4+ uptake increased from the NO3-depleted surface waters downwards into the NO3-replete depths (Fig. 3b), and indicates lower affinity on NH4+ in the phytoplankton in the high NO3 environment. This perspective of ambient nutrient control of community structure is further supported by studies showing that increases of NO3 substantially stimulate biomass production and push phytoplankton communities towards large diatom dominance49,50,51. Consequently, nitrification is likely to be enhanced due to alleviation of competition for NH4+ from phytoplankton. However, to our knowledge, direct evidence of stimulation of nitrification by NO3 enrichment, via shifts in phytoplankton community structure, remains unexplored in the field and thus warrants more verification in future.

Our results also help to elucidate the causes of the discrepancies in the extent of surface nitrification in different oceanic regimes. By compiling reported nitrification rates in the upper 200 m of different ocean provinces, we found persistently low rates of nitrification above the nitracline, and that high rates were always associated with NO3-replete conditions, in spite of the highly varying locations of the observations (Fig. 4). In the cases with deep nitraclines, nitrification rates were low throughout the euphotic zone, likely due to intense competition for NH4+ by phytoplankton under NO3-depleted conditions (Supplementary Note 1). Conversely, in nutrient-replete coastal or upwelling regions, active nitrification has been reported even in surface layers with high light intensity7, 8, 52, 53, demonstrating a niche in high-nutrient environments for nitrifiers. This close relationship between nitrification and NO3 suggests an obligatory condition of NO3 for nitrification to occur in the sunlit ocean, which reconciles the discrepancies in the apparent light effects on nitrification for different ocean provinces.

Conventionally, nitrifiers and phytoplankton are thought to be separated by light, phytoplankton dominates NH4+ consumption in high irradiance environments, and nitrification is driven by mineralization of PON and DON in low-light conditions, yet, whether there is a threshold light value for setting the niche boundary of nitrifiers has been unclear (Fig. 5a). Our evidence underscores that light is not the sole determinant and that the ambient NO3 concentration exerts an important influence. Based on our results, the depth of the transition boundary of NH4+ uptake and nitrification was consistent with the nitracline at all stratified oligotrophic sites, suggesting the depth of the nitracline represents a reliable boundary separating the space domains of ammonium oxidizers from assimilators (Fig. 5b). This finding extends our current knowledge of regulatory mechanisms for nitrification in the stratified oligotrophic ocean.

Finally, euphotic nitrification has important implications regarding bottom-up NO3 supply versus oceanic new production54. The observed inter-relationships among NO3 concentration, phytoplankton community structure, and the optimal niche for nitrifers, bind nitrification tightly with new production inside the euphotic zone. Specifically, the NH4+ assimilators dominated in the mixed layer, while NO3 assimilators and nitrifiers developed in response to the downward increase of NO3 (Supplementary Fig. 9a). Thereby, a predictable relationship between nitrification and new production is formed, the ratio of nitrification rate to new production rate increases from the surface to the bottom of the euphotic zone (Supplementary Fig. 9b). Notably, in our study the Vmax values of nitrification at the DCM and 1% PAR layers reached the same magnitude as NO3 uptake rates (Supplementary Fig. 7). This suggests that equating nitrate uptake with new production is an over-simplification, and also that nitrifiers were substrate stressed and thus potentially capable of even greater dominance of ammonium recycling and nitrate supply.

The ongoing warming of the global ocean is expected to enhance ocean stratification, and thus may have significant impacts on the cycling of NH4+ by influencing the supply of subsurface NO3. For instance, global decline of phytoplankton and production accompanied by increases of niches for cyanobacteria Prochlorococcus and Synechococcus due to the climate-driven expansion of the stratified oligotrophic ocean55, 56 would likely depress nitrification through less supply of NO3 to the euphotic zone and more intense competition of NH4+ by the small size phytoplankton. This migration of nitraclines would also influence the spatial domains available to nitrifiers. Thus the future changes in ocean stratification may cause reallocation of spatial domains for both active NH4+ assimilators and oxidizers. In view of the important role of NH4+ in marine nitrogen and carbon cycling, our study helps to understand the nitrogen pathways in the sunlit ocean and improve our ability to predict how global change is likely to impact the nitrogen cycle and in consequence the ability of the ocean to absorb CO2.

## Methods

### On-deck incubations

Samples were collected from June to July 2014 in the South China Sea (SCS) and from April to May 2015 in the Subtropical Northwest Pacific (NWP) by R/V Dongfanghong II. Three stations spanning a range of hydrographic conditions and corresponding biological productivities from shelf to the basin in the SCS, and five stations spanning from coastal waters to the subtropical gyre of the NWP with even larger environmental gradients were chosen for on-deck incubations (Supplementary Fig. 1).

Temperature, salinity, and chlorophyll concentrations were measured using a Seabird SBE 911 CTD sensor package equipped with a fluorometer. Photosynthetically active radiation was measured using a PAR sensor (Li-Cor Biosciences, LI-193). Samples were collected using 12-L Niskin bottles mounted on the CTD rosette.

Depths for rate measurements and kinetic determinations were selected based primarily on PAR and location of the depth of the DCM. High vertical resolution profiles with depth intervals of 5–10 m (from DCM to the depth of 1% of surface PAR) and 10–20 m (from surface to DCM and from 1% of surface PAR to 200 m) were conducted. In total, 14–20 depths were sampled for each station in the SCS.

Samples for chemical, biological, and rate measurements were collected from the same cast. Triplicate 150 mL high-density polyethylene (HDPE) Nalgene bottles were used for nutrient collection; 250 mL polycarbonates (PC) Nalgene bottles and 250 mL HDPE Nalgene bottles were filled for NH4+ oxidation incubations; 1 L PC Nalgene bottles were used for PON concentration measurements and for NH4+ uptake and NO3 uptake incubations (carried out in duplicate for each treatment in the SCS cruise and in triplicate in the NWP cruise). All bottles and equipment were acid washed and rinsed with seawater three times prior to sample collection.

During the SCS cruise, a set of incubations including kinetics tests were carried out on board to estimate in situ rates for nitrification, NH4+ uptake, and NO3 uptake rates. For the NWP cruise, incubations were carried out for nitrification and NH4+ uptake rates. Different neutral density screens (Lee Filters) were used to simulate the in situ light intensity. Dark incubation was implemented in parallel to examine light effects and to derive daily rate estimates.

For nitrification rates, 1 mL of 15N-NH4+ tracer (98% of 15N atom, Sigma-Aldrich) was injected into 250 mL samples to get a final tracer concentration of 20 nmol L−1. Immediately after tracer injection, around 40 mL of sample was filtered through a 0.2 μm syringe filter to represent the initial condition. Paired incubations under simulated in situ light and dark conditions allowed us to properly integrate the daily nitrification rates, and were conducted on-board in on-deck circulating seawater incubators for 12 h (0700–1900 hours) and stopped by filtration. For NH4+ uptake rates, 15N−NH4+ tracer (98% of 15N atom, Sigma-Aldrich) was injected into 1 L samples to get a final concentration of 10 nmol L−1. Two to three bottles were filtered (with pressure of ~200 mmHg) onto pre-combusted (450 °C, 4 h) 25 mm glass fiber filters (GF/F, Whatman) immediately after tracer injection to represent the initial conditions. The remaining bottles were incubated for 3 h (0700 to 1000 hours) on board under simulated in situ light and dark conditions in parallel. Similar incubations were conducted for NO3 uptake rates with different levels of tracer enrichment. For samples in the mixed layer, the final concentration of 15N−NO3 (98% of 15N atom, Sigma-Aldrich) was 10 nmol L−1, and final tracer concentrations were 100 and 500 nmol L−1 for samples from the bottom of mixed layer to the DCM and below the DCM, respectively. Incubations were terminated by gentle filtration.

To investigate the dependence of nitrification and NH4+ uptake rates on substrate concentrations, samples from selected depths were incubated at four different levels of 15NH4+ addition spanning from 10 to 2000 nmol L−1 during the SCS cruise. At each station, three depths (15 m, depth of DCM, and depth of 1% PAR) were sampled to conduct Michaelis−Menten kinetic tests. For each set, tracer was added separately into duplicate samples, and all the samples were simultaneously incubated using the same procedures described above.

### Chemical measurements

Oxygen concentrations were measured using an SBE oxygen sensor, calibrated against discrete sample Winkler titrations. NH4+ concentrations were measured on board using a fluorometric method with detection limit of 1.2 nmol L−1 and precision of ±3.5%57. Nutrient concentrations below the nitracline were measured using a Four-channel Continuous Flow Technicon AA3 Auto-Analyzer. The detection limits for NOx (NO3 + NO2), SRP (soluble reactive phosphate), and Si(OH)4 were 0.03, 0.03, 0.05 μmol L−1, respectively, with precision better than 1, 2, 2.8%, respectively58. For surface samples above the nitracline, NO3 and NO2 concentrations were determined by the standard colorimetric method coupled with a Flow Injection Analysis-Liquid Waveguide Capillary Cell system (World precision Instruments)59; the detection limit was 5 nmol L−1 and precision was better than 3.1%.

### Isotopic analyses of NOX− and PON

δ15N of NOX (NO2 + NO3) were determined using the bacterial method60, 61 with minor modifications, using a Thermo Finnigan Gasbench system with cryogenic extraction and purification system interfaced to a Delta VPLUS isotopic ratio mass spectrometer. Briefly, NOX was quantitatively converted to N2O by using the bacterial strain Pseudomonas aureofaciens (ATTC no. 13985). The N2O was then introduced to the GC-IRMS through an online N2O cryogenic extraction and purification system. δ15N of NOX values were calibrated against nitrate isotope standards USGS 34, IAEA N3 and USGS 32, which were run before, after, and at ten sample intervals. Accuracy (pooled standard deviation) was better than ±0.2‰ according to analyses of these standards at an injection level of 20 nmol N over the past 3 years. Quality control was also conducted by analyzing laboratory working reference material (3000 m deep sea water from the South China Sea). For samples with NOX concentrations lower than 0.5 μmol L−1, 1 mL of 5 μmol L−1 of in-house NO3 standard was added as carrier to 9 mL of samples, and the isotopic composition of the sample was than calculated from the measured composition of the mixture and the known in-house standard via mass conservation.

For the particulate samples, the wet digestion method was applied prior to the bacterial method according to previous studies62 with slight modification. In brief, the PON (with filters) was oxidized to NO3 by using 1 mL of purified persulfate oxidizing reagent (POR) and 4 mL of deionized water (DIW) in a 12 mL 450 °C pre-combusted boro-silicate glass tube. The persulfate (ACS-grade, Merck, German) was recrystallized at least three times and then made up to alkaline POR by dissolving 6 g K2S2O8 and 6 g NaOH (ACS-grade, Merck, German) in DIW to final volume of 100 mL. Before the use of POR, the residual NO3 concentration in the initial POR (referred as POR blank) was measured and ensured to be sufficiently low (<2 μmol L−1 in digested solution, see below). Screw caps were closed tightly once the POR was injected into the samples, which were then autoclaved for 1 h under 120 °C. At least five tubes went through the same procedure in parallel with solely POR to determine the δ15N of the post-digestion POR blank. In addition, ten unused filters were randomly selected after each cruise to estimate the concentration and δ15N of the background PON, i.e. the filter blanks. After the digested solutions cooled down to room temperature, pH was adjusted to neutral with 6 n HCl (ACS-grade, Merck).

The NO3 concentration after digestion was measured by chemiluminescene63. By injecting 10–1000 μL of sample into a 95 °C acidic solution of vanadium (V(III)), a sufficient amount of NO3 was reduced to NO gas for detection. δ15N values of the PON-derived NO3 were determined using the bacterial method as described above. Calculation of the concentration and δ15N of the PON included separate correction for both the blank of the POR procedure and the filters. The PON blank in each tube was typically less than 1% of the total N and the blank of the filter was less than 5 nmol N (1.88 ± 0.85 nmol N after the SCS cruise, and 3.99 ± 1.49 nmol N after the NWP cruise), which accounted for less than 3% of the N content in our samples.

### Rate calibration

Nitrification and uptake rates were primary determined by the accumulation of 15N in the product pool relative to the initial conditions. The equations for the rate calculations have been previously reviewed and compared64. Equation 1 quantifies the transformation rate under bulk substrate concentration (ambient substrate + tracer). The 10% tracer enrichment principle to minimize tracer perturbation is impractical in oligotrophic oceans with extremely low NH4+ concentrations65. To date, a wide range (10–750 nmol L−1) of tracer concentrations has been adopted in different studies4,5,6,7,8,9,10, 24, 25, 30, 66, 67, and given that NH4+ concentrations are low across most of global ocean, has likely caused overestimation of measured rates to a certain degree. Similar to other studies, the tracer addition in this study (even though the amount was as low as 10–20 nmol L−1) represents a significant substrate enrichment relative to ambient concentrations. Thus, the tracer addition potentially stimulates the in situ rate (Eq. 1).

A few attempts to overcome the enhancement of in situ rate by tracer enrichment have been carried out in the field. By using a kinetic approach (Eq. 2), for instance, Horak et al.25 demonstrated severe overestimations of in situ NH4+ oxidation rates (by factors of 1.1 up to 7.1) with addition of 50 nmol L−1 of 15NH4+ into samples at ambient concentrations of 5–650 nmol L−1. This conclusion was drawn by assuming a constant Ks over depth and among sites for NH4+ oxidation; yet, Ks may vary with environmental conditions such as temperature and pH. Although the kinetic approach has been suggested as an effective method with better accuracy in calibrating in situ rates, this method has been less commonly conducted due to its labor-consuming requirements.

Instead, because the reaction rate showed a near first-order response when substrate concentration was lower than Ks, we applied a linear regression approach by using Eqs. 35 with the following assumptions to obtain the optimal in situ reaction rates: first, the 15N dilution effect due to regeneration is insignificant due to relatively short-term incubations, and the isotopic fractionation during N transformation can be ignored because of the high 15N enrichment in the substrate after tracer addition, and thus the at% 15N of substrate remained constant during the incubation. This is also justified by a recent model study that showed the dilution effect is not significant within 12 h in oligotrophic conditions68; second, the at% of 15N of in situ NH4+ was assumed to be 0.3663%.

$$R_{{\rm bulk}} = \frac{{C_0 \times (n_t - n_0)}}{{t \times f^{15}}},$$
(1)
$$R_{{\rm kinetic}} = \frac{{V_{\max} \times Ci_{{\rm NH_4^ +}}}}{{K_{\rm s} + Ci_{{\rm NH_4^ +}}}},$$
(2)
$$R_{15} = \frac{{C_t \times n_t - C_0 \times n_0}}{t},$$
(3)
$$R_{14} = R_{15} \times \frac{{(1 - n_{{\rm NH_4^ +}})}}{{n_{{\rm NH_4^ +}}}},$$
(4)
$$R_{{\rm in}\;{\rm situ}} = (R_{15} + R_{14}) \times \frac{{Ci_{{\rm NH_4^ +}}}}{{Ci_{{\rm NH_4^ +}} + Ct_{{\rm NH_4^ +}}}}.$$
(5)

In the above equations, Rbulk is the bulk reaction rate for all substrates after tracer enrichment (nmol N L−1 h−1). Rkinetic is the rate of kinetic response. R15, R14 are the accumulation rates of atom 15N and 14N, respectively, in the product pool. Rin situ is the in situ reaction rate calibrated by linear interpolation. C t and C0 are product concentrations at the ending and beginning of incubation (nmol N L−1), respectively. f15 is at% 15N of substrate pool at the beginning of incubation; n t and n0 are the at% 15N of the product pool at the ending and beginning of incubation (%), respectively. t is the duration of incubation (h). $$n_{\rm {NH}_{4}^ +}$$ is the at% 15N of substrate after tracer injection. $${Ci_{\rm {NH}_{4}^+}}$$ and $${Ct_{\rm {NH}_{4}^ +}}$$ are the initial substrate concentration and final tracer concentration, respectively.

In addition, instead of assuming a constant product concentration during incubation as in most of previous studies, all particle samples at different sampling times were measured directly. This concentration measurement was necessary for uptake rate quantification, because phytoplankton simultaneous uptake of different species of nitrogen may induce considerable increases in PON concentrations during incubation. For NH4+ oxidation, the calculated rate was converted to the daily-integrated rate by assuming equal periods of day and night rates, i.e. by summing the dark and light hourly rates multiplied by 12 (Rin situ of light incubation × 12 + Rin situ of dark incubation × 12); daily-integrated NH4+ and NO3 uptake rate was approximately estimated by multiplying the hourly rates by 16 according to previous tests at the Bermuda Atlantic Time Series station (BATS)5.

In order to test the validity of the linear regression approach presented here, we compared the Rbulk, Rin situ and Rkinetic derived from the above equations (Supplementary Fig. 10) by using the data obtained from kinetic experiments. The NH4+ concentrations of 21–94 nmol L−1 (in situ NH4+ + tracer) were lower than the derived Ks values in this study, allowing the application of the proposed linear regression method for in situ rate calibration. Our results showed much higher values of Rbulk relative to Rkinetic, demonstrating significant overestimation of reaction rates by tracer addition. The reaction rates were reduced by 15.2–78.4% by using the kinetic correction. Larger deviations were found at depths with low in situ concentrations. By contrast, the Rin situ derived from the linear regression was close to that of Rkinetic, demonstrating the usefulness of linear interpolation for in situ rates determination. Further, given the persistent low NH4+ concentration in the global oligotrophic ocean, this method offers a convenient approach to correct reaction rates derived from tracer incubations.

### Detection limit of rate measurement

The detection limit depends on the concentration of the product pool and the fraction of the 15N in the substrate pool during the incubation24, 66, 67. As mentioned, the accuracy of δ15-NO3 was better than ±0.2‰ in our lab, and we here use three times the standard deviation (0.6‰) as a reliable enrichment of 15N in the product pool. Therefore, we calculated a detection limit of 0.04–0.16 nmol N L−1 d−1 for nitrification and 0.01–0.04 nmol N L−1 d−1 for NH4+ uptake for our samples.

### Data analysis

The kinetic parameters (Vmax and Ks) were estimated using Eq. 2 (and Grapher version 10; Golden Software). The α value, which represents a better indicator of advantage in substrate competition12, 17, was calculated by using Eq. 6.

$${{\alpha }} = \frac{{V_{\max}}}{{K_{\mathrm s}}}.$$
(6)

The comparisons of reaction rates between paired light and dark incubations, and the kinetic parameters were examined by using the Student’s test and SPSS (IBM, version 19).

### Data availability

Data supporting our manuscript are available on request from S.-J. Kao (sjkao@xmu.edu.cn).

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## Acknowledgements

We greatly appreciate K. Zhou, W. Zou, M. He, X. Zhang, and G. Shao’s inputs during on-board sampling and incubation in the South China Sea cruise, and W. Zou, W. Zhang, and Q. Wu’s help during the campaign to the Northwest Pacific; this work could not have been carried out without their efforts. We also thank T. Huang for the on-board measurement of nutrients and Z. Sun for providing the CTD data. We are grateful for L. Wang and B. Huang’s help providing the pigments data. Comments from Patricia M. Glibert, X. Peng, and Jason M. Smith improved the earlier version of the manuscript. This work is supported by the National Natural Science Foundation of China through grants 91328207, Science Fund for Creative Research Groups of the National Natural Science Foundation of China through grants 41721005 and National Basic Research Program of China (973 Program) through grants 2014CB953702, 2015CB954003. T.W.T. was supported by an MEL Visiting Scholar award.

## Author information

### Affiliations

1. #### State Key Laboratory of Marine Environmental Sciences, Xiamen University, 361101, Xiamen, China

• Xianhui Sean Wan
• , Hua-Xia Sheng
• , Minhan Dai
• , Yao Zhang
• , Dalin Shi
• , Yifan Zhu
•  & Shuh-Ji Kao
2. #### Antarctic Climate and Ecosystems Cooperative Research Centre, University of Tasmania, and CSIRO Oceans and Atmosphere, Hobart, 7001, Australia

• Thomas W. Trull
3. #### Bigelow Laboratory for Ocean Sciences, East Boothbay, ME, 04544, USA

• Michael W. Lomas

### Contributions

X.S.W. and S.-J.K. conceived the study and designed the experiment, X.S.W., H.-X.S. and Y.Zhu performed the experiment and measured the samples. X.S.W., H.-X.S., M.D., Y.Z., and S.-J.K. analyzed the data, X.S.W., H.-X.S., M.D., Y.Z., D.S., T.W.T., M.W.L., and S.-J.K. contributed to the discussion of the results and wrote the manuscript. This is MEL publication # melpublication2017238.

### Competing interests

The authors declare no competing interests.

### Corresponding author

Correspondence to Shuh-Ji Kao.