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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Microbiol.</journal-id>
<journal-title>Frontiers in Microbiology</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Microbiol.</abbrev-journal-title>
<issn pub-type="epub">1664-302X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fmicb.2022.1080847</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Microbiology</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Sources of nitrous oxide emissions from hydroponic tomato cultivation: Evidence from stable isotope analyses</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Karlowsky</surname>
<given-names>Stefan</given-names>
</name>
<xref rid="aff1" ref-type="aff"><sup>1</sup></xref>
<xref rid="c001" ref-type="corresp"><sup>&#x002A;</sup></xref>
<uri xlink:href="https://loop.frontiersin.org/people/588899/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Buchen-Tschiskale</surname>
<given-names>Caroline</given-names>
</name>
<xref rid="aff2" ref-type="aff"><sup>2</sup></xref>
<uri xlink:href="https://loop.frontiersin.org/people/1864112/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Odasso</surname>
<given-names>Luca</given-names>
</name>
<xref rid="aff1" ref-type="aff"><sup>1</sup></xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Schwarz</surname>
<given-names>Dietmar</given-names>
</name>
<xref rid="aff1" ref-type="aff"><sup>1</sup></xref>
<xref rid="aff3" ref-type="aff"><sup>3</sup></xref>
<uri xlink:href="https://loop.frontiersin.org/people/76838/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Well</surname>
<given-names>Reinhard</given-names>
</name>
<xref rid="aff2" ref-type="aff"><sup>2</sup></xref>
</contrib>
</contrib-group>
<aff id="aff1"><sup>1</sup><institution>Leibniz Institute of Vegetable and Ornamental Crops (IGZ) e.V.</institution>, <addr-line>Gro&#x00DF;beeren</addr-line>, <country>Germany</country></aff>
<aff id="aff2"><sup>2</sup><institution>Th&#x00FC;nen Institute of Climate-Smart Agriculture, Federal Research Institute for Rural Areas, Forestry and Fisheries</institution>, <addr-line>Braunschweig</addr-line>, <country>Germany</country></aff>
<aff id="aff3"><sup>3</sup><institution>Operation Mercy</institution>, <addr-line>Amman</addr-line>, <country>Jordan</country></aff>
<author-notes>
<fn id="fn0001" fn-type="edited-by"><p>Edited by: Zengming Chen, Institute of Soil Science (CAS), China</p></fn>
<fn id="fn0002" fn-type="edited-by"><p>Reviewed by: Wei Lin, Chinese Academy of Agricultural Sciences, China; Koki Maeda, Japan International Research Center for Agricultural Sciences (JIRCAS), Japan</p></fn>
<corresp id="c001">&#x002A;Correspondence: Stefan Karlowsky, &#x02709; <email>karlowsky@igzev.de</email></corresp>
<fn id="fn0003" fn-type="other"><p>This article was submitted to Terrestrial Microbiology, a section of the journal Frontiers in Microbiology</p></fn>
</author-notes>
<pub-date pub-type="epub">
<day>04</day>
<month>01</month>
<year>2023</year>
</pub-date>
<pub-date pub-type="collection">
<year>2022</year>
</pub-date>
<volume>13</volume>
<elocation-id>1080847</elocation-id>
<history>
<date date-type="received">
<day>26</day>
<month>10</month>
<year>2022</year>
</date>
<date date-type="accepted">
<day>06</day>
<month>12</month>
<year>2022</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x00A9; 2023 Karlowsky, Buchen-Tschiskale, Odasso, Schwarz and Well.</copyright-statement>
<copyright-year>2023</copyright-year>
<copyright-holder>Karlowsky, Buchen-Tschiskale, Odasso, Schwarz and Well</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p>
</license>
</permissions>
<abstract>
<sec>
<title>Introduction</title>
<p>Hydroponic vegetable cultivation is characterized by high intensity and frequent nitrogen fertilizer application, which is related to greenhouse gas emissions, especially in the form of nitrous oxide (N<sub>2</sub>O). So far, there is little knowledge about the sources of N<sub>2</sub>O emissions from hydroponic systems, with the few studies indicating that denitrification could play a major role.</p>
</sec>
<sec>
<title>Methods</title>
<p>Here, we use evidence from an experiment with tomato plants (<italic>Solanum lycopersicum</italic>) grown in a hydroponic greenhouse setup to further shed light into the process of N<sub>2</sub>O production based on the N<sub>2</sub>O isotopocule method and the <sup>15</sup>N tracing approach. Gas samples from the headspace of rock wool substrate were collected prior to and after <sup>15</sup>N labeling at two occasions using the closed chamber method and analyzed by gas chromatography and stable isotope ratio mass spectrometry.</p>
</sec>
<sec>
<title>Results</title>
<p>The isotopocule analyses revealed that either heterotrophic bacterial denitrification (bD) or nitrifier denitrification (nD) was the major source of N<sub>2</sub>O emissions, when a typical nutrient solution with a low ammonium concentration (1&#x2013;6 mg&#x2009;L<sup>&#x2212;1</sup>) was applied. Furthermore, the isotopic shift in <sup>15</sup>N site preference and in &#x03B4;<sup>18</sup>O values indicated that approximately 80&#x2013;90% of the N<sub>2</sub>O produced were already reduced to N<sub>2</sub> by denitrifiers inside the rock wool substrate. Despite higher concentrations of ammonium present during the <sup>15</sup>N labeling (30&#x2013;60 mg&#x2009;L<sup>&#x2212;1</sup>), results from the <sup>15</sup>N tracing approach showed that N<sub>2</sub>O mainly originated from bD. Both, <sup>15</sup>N label supplied in the form of ammonium and <sup>15</sup>N label supplied in the form of nitrate, increased the <sup>15</sup>N enrichment of N<sub>2</sub>O. This pointed to the contribution of other processes than bD. Nitrification activity was indicated by the conversion of small amounts of <sup>15</sup>N-labeled ammonium into nitrate.</p>
</sec>
<sec>
<title>Discussion/Conclusion</title>
<p>Comparing the results from N<sub>2</sub>O isotopocule analyses and the <sup>15</sup>N tracing approach, likely a combination of bD, nD, and coupled nitrification and denitrification (cND) was responsible for the vast part of N<sub>2</sub>O emissions observed in this study. Overall, our findings help to better understand the processes underlying N<sub>2</sub>O and N<sub>2</sub> emissions from hydroponic tomato cultivation, and thereby facilitate the development of targeted N<sub>2</sub>O mitigation measures.</p>
</sec>
</abstract>
<kwd-group>
<kwd>glasshouse vegetable production</kwd>
<kwd>horticulture</kwd>
<kwd>greenhouse gas emission</kwd>
<kwd>N<sub>2</sub>O isotopocules</kwd>
<kwd><sup>15</sup>N labeling</kwd>
<kwd>denitrification</kwd>
</kwd-group>
<counts>
<fig-count count="2"/>
<table-count count="4"/>
<equation-count count="6"/>
<ref-count count="73"/>
<page-count count="14"/>
<word-count count="11948"/>
</counts>
</article-meta>
</front>
<body>
<sec id="sec1" sec-type="intro">
<label>1.</label>
<title>Introduction</title>
<p>Based on a variety of technical innovations in greenhouse vegetable production, the use of soilless culture systems (commonly referred to as &#x201C;hydroponics&#x201D;) has grown in importance during the last 30&#x2013;40&#x2009;years (<xref ref-type="bibr" rid="ref25">Gruda, 2009</xref>; <xref ref-type="bibr" rid="ref49">Savvas et al., 2013</xref>; <xref ref-type="bibr" rid="ref50">Savvas and Gruda, 2018</xref>). Controlled environment systems are considered by some as key part of future food production (<xref ref-type="bibr" rid="ref31">Lakhiar et al., 2018</xref>; <xref ref-type="bibr" rid="ref9">Cowan et al., 2022</xref>). This is largely due to the possibility of operating hydroponic systems in greenhouses in regions with unfavorable climatic conditions and in urban areas (<xref ref-type="bibr" rid="ref54">Sharma et al., 2018</xref>; <xref ref-type="bibr" rid="ref55">Small et al., 2019</xref>). Closed hydroponic systems also allow the re-utilization of drained nutrient solution from the root zone by recirculating the collected drain after mixing with stock solution. The high water and nutrient efficiency of closed hydroponic systems as well as the reduction of soil-borne diseases are considered as major advantages compared to soil-based cultivation (<xref ref-type="bibr" rid="ref25">Gruda, 2009</xref>; <xref ref-type="bibr" rid="ref50">Savvas and Gruda, 2018</xref>). Besides, the high water and nutrient efficiency makes hydroponic systems also interesting for the production of supplemental fresh food during space missions (<xref ref-type="bibr" rid="ref66">Wheeler, 2017</xref>). Nonetheless, there are still losses occurring in the form of gaseous nitrogen (N) emissions, which may sum up to more than 10% of the N applied in the nutrient solution (<xref ref-type="bibr" rid="ref11">Daum and Schenk, 1996a</xref>). Due to the high N application rate and dosage frequency in hydroponics, there is also a high potential for gaseous N emissions, in particular nitrous oxide (N<sub>2</sub>O) from microbial processes such as nitrification (Ni) and heterotrophic bacterial denitrification (bD; <xref ref-type="bibr" rid="ref12">Daum and Schenk, 1996b</xref>; <xref ref-type="bibr" rid="ref37">Lin et al., 2022</xref>). If bD is complete, N losses in the form of molecular nitrogen (N<sub>2</sub>) due to N<sub>2</sub>O reduction might also occur. So far, only a few studies investigated volatile N losses from hydroponic systems. Some of these studies found N<sub>2</sub>O emission factors higher than the IPCC estimate of 1% N<sub>2</sub>O-N for applied N fertilizer in soil cultivation (<xref ref-type="bibr" rid="ref11">Daum and Schenk, 1996a</xref>; <xref ref-type="bibr" rid="ref27">Hashida et al., 2014</xref>; <xref ref-type="bibr" rid="ref70">Yoshihara et al., 2016</xref>), while others found lower N<sub>2</sub>O emission factors (<xref ref-type="bibr" rid="ref39">Llorach-Massana et al., 2017</xref>; <xref ref-type="bibr" rid="ref26">Halbert-Howard et al., 2021</xref>; <xref ref-type="bibr" rid="ref29">Karlowsky et al., 2021</xref>).</p>
<p>The specialty of hydroponic systems is that inert substrates such as sand, perlite, or rock wool can be used, which limits the availability of organic carbon for heterotrophic denitrifiers. In this case, the hydroponic growing medium consists only of the substrate matrix and the supplied nutrient solution, which is mostly composed of mineral fertilizers dissolved in water. Nevertheless, bD has been considered as the main source of gaseous N emissions from hydroponic systems with inert substrates (<xref ref-type="bibr" rid="ref11">Daum and Schenk, 1996a</xref>, <xref ref-type="bibr" rid="ref12">1996b</xref>, <xref ref-type="bibr" rid="ref14">1998</xref>). Whereas a more recent study by <xref ref-type="bibr" rid="ref37">Lin et al. (2022)</xref> with tomato plants cultivated on peat and coir substrates found also significant shares of N<sub>2</sub>O produced by Ni, which depended on the substrate used. In hydroponic systems with inert growing media, various factors may favor bD over Ni activity, i.e., (i) frequent irrigation pulses, (ii) slightly acidic pH values (pH 5&#x2013;6.5) in the nutrient solution, (iii) often high nitrate (NO<sub>3</sub><sup>&#x2212;</sup>) to ammonium (NH<sub>4</sub><sup>+</sup>) ratios, and (iv) the presence of root exudates and debris. Yet, there is little knowledge on the processes underlying gaseous N emissions from hydroponic systems. In particular, it is unclear to which extend other processes such as fungal denitrification (fD), nitrifier denitrification (nD), or coupled nitrification and denitrification (cND) play a role in hydroponic systems. A study of functional microbial genes by <xref ref-type="bibr" rid="ref27">Hashida et al. (2014)</xref> found 3&#x2013;5 times higher gene copy numbers for denitrifiers than for nitrifiers, but the abundance of functional Ni and bD genes had no clear relationship with measured N<sub>2</sub>O emissions. N<sub>2</sub> emissions from bD, which are more difficult to analyze due to the high atmospheric concentration of N<sub>2</sub>, have only been researched by <xref ref-type="bibr" rid="ref11">Daum and Schenk (1996a</xref>, <xref ref-type="bibr" rid="ref12">1996b</xref>, <xref ref-type="bibr" rid="ref13">1997</xref>, <xref ref-type="bibr" rid="ref14">1998)</xref> in hydroponic systems, using the acetylene inhibition method. However, today, it is known that this method is not suitable to quantify N<sub>2</sub> production, mainly due to catalytic decomposition of NO in presence of O<sub>2</sub> (<xref ref-type="bibr" rid="ref20">Felber et al., 2012</xref>; <xref ref-type="bibr" rid="ref44">Nadeem et al., 2013</xref>), which cannot be excluded in the setup used in the Daum and Schenk studies (<italic>ibid.</italic>).</p>
<p>Alternative methods for detecting N<sub>2</sub> emissions include (i) the use of closed chambers filled with other inert gases such as helium and the analysis of N<sub>2</sub> in gas samples on a gas chromatograph (helium incubation method) (<xref ref-type="bibr" rid="ref51">Scholefield et al., 1997</xref>), (ii) the labeling with <sup>15</sup>N supplied by the fertilizer and the measurement of <sup>15</sup>N contents in N<sub>2</sub>O and N<sub>2</sub> (<sup>15</sup>N tracing approach) (e.g., <xref ref-type="bibr" rid="ref59">Stevens and Laughlin, 1998</xref>; <xref ref-type="bibr" rid="ref7">Buchen et al., 2016</xref>), and (iii) the analysis of the isotopic composition (&#x03B4;<sup>18</sup>O, &#x03B4;<sup>15</sup>Nbulk value and the intramolecular distribution of <sup>15</sup>N in N<sub>2</sub>O) of the four most abundant N<sub>2</sub>O isotopocules, which are indicative for N<sub>2</sub>O production pathways, but also altered during the N<sub>2</sub>O reduction process (N<sub>2</sub>O isotopocule method) (e.g., <xref ref-type="bibr" rid="ref16">Decock and Six, 2013</xref>; <xref ref-type="bibr" rid="ref32">Lewicka-Szczebak et al., 2017</xref>). Unfortunately, the helium incubation method to directly measure N<sub>2</sub> emissions requires a high technical effort and is very prone to leakage and is therefore mainly used for the analysis of soil cores in the laboratory (<xref ref-type="bibr" rid="ref24">Groffman et al., 2006</xref>). Both, the N<sub>2</sub>O isotopocule method and the <sup>15</sup>N tracing approach, require little technical effort in the field or greenhouse, can be combined with the usual chamber-based gas flux measurements for detecting N<sub>2</sub>O emission rates, and are suitable to assess the microbial processes that drive the N<sub>2</sub>O emission (<xref ref-type="bibr" rid="ref34">Lewicka-Szczebak et al., 2020</xref>). The N<sub>2</sub> isotopocule method works well with natural abundance stable isotope ratios and only requires the capacity for stable isotope analyses. However, due to the multitude of possible N<sub>2</sub>O processes (<xref ref-type="bibr" rid="ref8">Butterbach-Bahl et al., 2013</xref>) and the variability found in isotope contents and fractionation factors, uncertainties of its results have to be taken into account (<xref ref-type="bibr" rid="ref68">Wu et al., 2019</xref>). The <sup>15</sup>N tracing approach allows to quantify the conversion of <sup>15</sup>N-enriched substrates such as NO<sub>3</sub><sup>&#x2212;</sup> or NH<sub>4</sub><sup>+</sup> to different products, including N<sub>2</sub>O and N<sub>2</sub> (<sup>15</sup>N mass balance). Though to obtain sufficient <sup>15</sup>N enrichment of N<sub>2</sub> for detection of N<sub>2</sub> production, high amounts of expensive <sup>15</sup>N tracer have to be applied, limiting the use of the <sup>15</sup>N tracing approach for detecting N<sub>2</sub> fluxes by the experimental budget. Moreover, under ambient atmosphere, its sensitivity is quite low (<xref ref-type="bibr" rid="ref72">Zaman et al., 2021</xref>).</p>
<p>In this study, we used a combination of the N<sub>2</sub>O isotopocule method and the <sup>15</sup>N tracing approach to further shed light into the processes underlying gaseous N emissions from hydroponic systems. Analyzing the N<sub>2</sub>O isotopocules and using the dual isotope plot (&#x201C;isotopocule mapping approach&#x201D;) is the most common interpretation strategy to estimate the fractions of N<sub>2</sub>O produced by bD and/or nD, fD, and Ni (e.g., <xref ref-type="bibr" rid="ref32">Lewicka-Szczebak et al., 2017</xref>). The results from N<sub>2</sub>O isotopocule analysis were also recently found to be in good accordance with the analysis of functional nitrifier and denitrifier genes (<xref ref-type="bibr" rid="ref37">Lin et al., 2022</xref>). In contrast to the isotopocule method, the <sup>15</sup>N tracing approach allows to estimate the fraction of N<sub>2</sub>O derived from bD, without overlapping nD (e.g., <xref ref-type="bibr" rid="ref17">Deppe et al., 2017</xref>). Hence, by combining the N<sub>2</sub>O isotopocule method and the <sup>15</sup>N tracing approach, it is possible to assess potential contributions of not well-studied microbial processes such as nD or cND in N<sub>2</sub>O formation. Furthermore, we used two types of <sup>15</sup>N label, i.e., <sup>15</sup>NH<sub>4</sub><sup>+</sup> and <sup>15</sup>NO<sub>3</sub><sup>&#x2212;</sup>, to determine the contribution of each N form in the emitted N<sub>2</sub>O and to gain additional insights into N transformation processes. In our study, we focused on rock wool hydroponics and used tomato plants as a model, as the use of rock wool substrate is widespread in modern production greenhouses (<xref ref-type="bibr" rid="ref10">Dannehl et al., 2015</xref>; <xref ref-type="bibr" rid="ref50">Savvas and Gruda, 2018</xref>) and tomato is the most important vegetable crop worldwide (<xref ref-type="bibr" rid="ref53">Schwarz et al., 2014</xref>). We conducted two sampling campaigns: (i) at the beginning of flowering and (ii) during fruit ripening, at which we expected different N<sub>2</sub>O emission rates. In previous studies with rock wool substrate, higher N<sub>2</sub>O emissions were found during tomato fruit ripening compared to earlier plant stages (<xref ref-type="bibr" rid="ref27">Hashida et al., 2014</xref>; <xref ref-type="bibr" rid="ref29">Karlowsky et al., 2021</xref>), and were attributed to shifts in plant physiology.</p>
<p>Overall, our aim was to better understand which microbial processes contribute to N<sub>2</sub>O emission from hydroponic systems to enable tailored mitigation measures. We hypothesized that bD is the main source of N<sub>2</sub>O emissions from hydroponic tomato cultivation on rock wool, and that NO<sub>3</sub><sup>&#x2212;</sup> is contributing to a higher share to N<sub>2</sub>O emissions than NH<sub>4</sub><sup>+</sup>. Furthermore, we assumed that most of the applied <sup>15</sup>N tracer can be recovered in the labeled nutrient solution, plant biomass, and gaseous N emissions in a hydroponic system with inert rock wool substrate.</p>
</sec>
<sec id="sec2" sec-type="materials|methods">
<label>2.</label>
<title>Materials and methods</title>
<sec id="sec3">
<label>2.1.</label>
<title>Experimental setup and hydroponic tomato cultivation</title>
<p>The experiment took place in an experimental glasshouse consisting of multiple heated cabins, each with a size of 64&#x2009;m<sup>2</sup> and a roof top height of 4&#x2009;m. Two of these cabins were used for this study, cabin no. 7 for pre-cultivating tomato plants (<italic>Solanum lycopersicum</italic> cv. &#x2018;Cheramy F1&#x2019;) and cabin no. 5 for conducting the experiment. Temperature in the cabins was set to 20/18&#x00B0;C (day/night), and roof top ventilation was opened at temperatures above 23/20&#x00B0;C (day/night). Shading was done automatically at photosynthetically active radiation (PAR) values above 900&#x2009;&#x03BC;mol&#x2009;m<sup>&#x2212;2</sup> s<sup>&#x2212;1</sup> and artificial lighting was applied between 5:00 and 12:00 CET, if PAR values were below 180&#x2009;&#x03BC;mol&#x2009;m<sup>&#x2212;2</sup> s<sup>&#x2212;1</sup>. Air temperature and humidity in the cabins as well as roof top PAR were continuously monitored by a climate computer (<xref rid="SM1" ref-type="supplementary-material">Supplementary Figure S1</xref>). Tomato plants were sown on 26th July 2021 and after germination in moistened sand, 64 seedlings were transplanted into pre-weighed rock wool cubes (10&#x2009;&#x00D7;&#x2009;10&#x2009;&#x00D7;&#x2009;6.5&#x2009;cm; Grodan B.V., Roermond, Netherlands) for further cultivation. On 2nd September each two planted rock wool cubes were put on one rock wool slab (100&#x2009;&#x00D7;&#x2009;20&#x2009;&#x00D7;&#x2009;7.5&#x2009;cm; Grodan Vital, Grodan B.V., Roermond, Netherlands) at a distance of 50&#x2009;cm. One-half of the planted rock wool slabs were installed in eight hydroponic units with elevated gutters in cabin no. 5, which included separate fertigation systems and were later used for the <sup>15</sup>N labeling. The other half was further cultivated in cabin no. 7 in four gutters on the ground, which shared one fertigation system. In both cases, the collected drain solution (i.e., leachate) was re-used and mixed with fresh nutrient solution in storage tanks as needed (closed hydroponic system with re-circulating nutrient solution). The nutrient solution from the storage tanks was supplied to plants <italic>via</italic> pumps, PE tubes, and drippers inserted into the rock wool cubes. The tomato plants were supplied with a custom-made nutrient solution modified after the recipe of <xref ref-type="bibr" rid="ref15">de Kreij et al. (2003)</xref>, which had a high NO<sub>3</sub><sup>&#x2212;</sup> to NH<sub>4</sub><sup>+</sup> ratio (~20:1) that was found optimal for tomato cultivation. Macro and micro nutrients were dissolved in de-ionized water targeting a pH of 5.6 and an electrical conductivity (EC) of 2 mS cm<sup>&#x2212;1</sup>. The pH and EC values in the storage tanks were regularly monitored (<xref rid="SM1" ref-type="supplementary-material">Supplementary Figure S2</xref>). Tomato seedlings were supplied with an N concentration of 361&#x2009;mg&#x2009;L<sup>&#x2212;1</sup> at the beginning (starter solution; 338&#x2009;mg&#x2009;L<sup>&#x2212;1</sup> NO<sub>3</sub><sup>&#x2212;</sup>-N and 23&#x2009;mg&#x2009;L<sup>&#x2212;1</sup> NH<sub>4</sub><sup>+</sup>-N). After the development of the 5th truss and the first green fruits on, from 4th October, the N concentration in the nutrient solution was reduced to 165&#x2009;mg&#x2009;L<sup>&#x2212;1</sup> (refill solution; 151&#x2009;mg&#x2009;L<sup>&#x2212;1</sup> NO<sub>3</sub><sup>&#x2212;</sup>-N and 14&#x2009;mg&#x2009;L<sup>&#x2212;1</sup> NH<sub>4</sub><sup>+</sup>-N). The composition of the different nutrient solutions used in this study can be found in <xref rid="SM1" ref-type="supplementary-material">Supplementary Table S1</xref>. Each hydroponic unit in cabin no. 5 consisted of a 4&#x2009;m gutter in which three rock wool slabs, two with plants and one unplanted, were placed and a nutrient solution storage tank filled up to approximately 40&#x2009;L (<xref rid="SM1" ref-type="supplementary-material">Supplementary Figure S3</xref>). Two sampling periods were selected according to expected differences in plant N uptake and associated assimilate distribution in the root-shoot system, representing high growth and N uptake rates during early development and a more balanced assimilate distribution during fruit ripening. The first sampling and <sup>15</sup>N labeling campaign were performed on 22nd and 23rd September, when the tomato plants developed the 3rd truss and first flowers. Subsequently, the 16 planted rock wool slabs (32 plants) in cabin no. 5 were completely removed (destructive sampling, described below) and replaced by the other 16 planted rock wool slabs pre-cultivated in cabin no. 7 on 24th September. The eight unplanted rock wool slabs were also exchanged with fresh rock wool slabs. To avoid carryover of <sup>15</sup>N label, the hydroponic gutters were covered with plastic film below the rock wool slabs until 23rd September to reduce contact with the <sup>15</sup>N-enriched nutrient solution. Both, the gutters and pumps for nutrient solution, were thoroughly cleaned with a detergent/disinfectant (MENNO Florades<sup>&#x00AE;</sup>, MENNO CHEMIE-VERTRIEB GMBH, Langer Kamp, Germany) before installing the unlabeled plants and rock wool slabs. Furthermore, the storage tanks and the tubing as well as the drippers for nutrient solution were completely replaced with new material. To ensure the supply of further growing plants with water and nutrients, larger storage tanks were used (<xref rid="SM1" ref-type="supplementary-material">Supplementary Figure S4</xref>) and filled up to approximately 200&#x2009;l. The experiment ended with the second sampling and <sup>15</sup>N labeling campaign on 3rd and 4th November, when the tomato plants developed the 8th truss and the first fruits were ripe.</p>
</sec>
<sec id="sec4">
<label>2.2.</label>
<title>Gas flux measurements</title>
<p>For measuring the gas fluxes, the closed chamber method as described by <xref ref-type="bibr" rid="ref29">Karlowsky et al. (2021)</xref> was used. Acrylic glass chambers with two small openings for plant stems were fitted around the rock wool slabs (planted and unplanted) and sealed with foam rubber to obtain a closed headspace with a volume of approximately 16&#x2009;l (<xref rid="SM1" ref-type="supplementary-material">Supplementary Figure S5</xref>). Over a period of 1 hour after closing, four gas samples (each 30&#x2009;ml) were taken in 20&#x2009;min intervals with a 30&#x2009;ml syringe through a sampling port on top of the chamber. The gas samples were transferred to 20&#x2009;ml glass vials with silicone/PTFE septa (type N17, MACHEREY-NAGEL GmbH &#x0026; Co. KG, D&#x00FC;ren, Germany) for transport and were analyzed on the same day by a gas chromatograph (GC 2010 Plus, Shimadzu Corporation, Kyoto, Japan) equipped with an electron capture detector (ECD) for N<sub>2</sub>O. The measured concentrations in &#x03BC;mol&#x2009;mol<sup>&#x2212;1</sup> were converted to &#x03BC;mol&#x2009;m<sup>&#x2212;3</sup> by applying the ideal gas law, including a correction for the temperature at the time of sampling. Afterward, gas fluxes were calculated using the R package &#x201C;gasfluxes&#x201D; [version 0.4&#x2013;4; (<xref ref-type="bibr" rid="ref23">Fuss et al., 2020</xref>)] by robust linear regression (except one case with only 3 time points, for which standard linear regression had to be used). Input variables used were gas concentration (&#x03BC;mol&#x2009;m<sup>&#x2212;3</sup>), chamber volume (m<sup>3</sup>), time after closing the chamber (h), and area covered (m<sup>2</sup>). The latter was set to 1&#x2009;m<sup>2</sup> assuming a typical density of greenhouse-cultivated tomato plants of 2 plants m<sup>&#x2212;2</sup>. The resulting gas fluxes in &#x03BC;mol m<sup>&#x2212;2</sup> h<sup>&#x2212;1</sup> were further converted to g ha<sup>&#x2212;1</sup> d<sup>&#x2212;1</sup> based on molar masses.</p>
</sec>
<sec id="sec5">
<label>2.3.</label>
<title>Sampling and <sup>15</sup>N labeling</title>
<p>Natural abundance samples were taken on 22nd September and 3rd November shortly before the <sup>15</sup>N labeling from each hydroponic unit in cabin no. 5 (from here on called &#x201C;experimental unit&#x201D;). These included plant samples, nutrient solution samples, and gas samples from planted rock wool slabs. For the latter, 140&#x2009;ml of air was collected from the headspace of rock wool substrate with a syringe at the end of gas flux measurements after 1 h of N<sub>2</sub>O enrichment in the closed chambers. The gas samples were transferred into 120&#x2009;ml crimp-cap glass vials closed with gray butyl septa (type ND20, IVA Analysentechnik GmbH &#x0026; Co. KG, Meerbusch, Germany) for later stable isotope analysis. To determine natural abundance &#x03B4;<sup>15</sup>N values of plants, the tips (first three leaflets) of 2&#x2013;3 fully developed leaves from one plant in each experimental unit were sampled and dried at 80&#x00B0;C for at least 48&#x2009;h. Approximately 15&#x2009;ml of nutrient solution (mixture with leachates) was sampled from the storage tank of each experimental unit and then stored at &#x2212;20&#x00B0;C for later &#x03B4;<sup>15</sup>N analyses. In addition, three samples of de-ionized water were taken to determine the natural abundance &#x03B4;<sup>18</sup>O values of the nutrient solution water.</p>
<p>On both dates, the <sup>15</sup>N labeling took place directly after the natural abundance sampling at approximately 12:00&#x2009;pm CET. The remaining nutrient solution in the experimental units was removed as far as possible and 15&#x2009;l of <sup>15</sup>N-labeled nutrient solution was added in the storage tanks of each unit. In a randomized way, four units received a nutrient solution with <sup>15</sup>N-enriched NH<sub>4</sub><sup>+</sup> (<sup>15</sup>NH<sub>4</sub><sup>+</sup>) and four units received a nutrient solution with <sup>15</sup>N-enriched NO<sub>3</sub><sup>&#x2212;</sup> (<sup>15</sup>NO<sub>3</sub><sup>&#x2212;</sup>). This was done by adding ammonium nitrate (NH<sub>4</sub>NO<sub>3</sub>; SIGMA-ALDRICH, Saint Louis, MO, United States) with 10.5/11 atom-% <sup>15</sup>N (<sup>15</sup>NH<sub>4</sub><sup>+</sup>/<sup>15</sup>NO<sub>3</sub><sup>&#x2212;</sup>) as only N source. The composition of the nutrient solution used for the <sup>15</sup>N labeling can also be found in <xref rid="SM1" ref-type="supplementary-material">Supplementary Table S1</xref>. In total, 115&#x2009;mg of <sup>15</sup>N was applied to each <sup>15</sup>NH<sub>4</sub><sup>+</sup> unit and 120&#x2009;mg of <sup>15</sup>N to each <sup>15</sup>NO<sub>3</sub><sup>&#x2212;</sup> unit (3.1&#x2009;g NH<sub>4</sub>NO<sub>3</sub> per unit), yielding an N concentration of 146&#x2009;mg&#x2009;L<sup>&#x2212;1</sup> (comparable to the standard refill solution). To distribute the <sup>15</sup>N label in the hydroponic system, drip fertigation was run continuously for 30&#x2009;min after adding the <sup>15</sup>N labeled nutrient solution to the experimental units. After 4 h, a first sampling to determine the <sup>15</sup>N enrichment in plant, nutrient solution and gas samples took place. The sampling was done analogously to the natural abundance sampling, including the determination of gas flux rates and the collection of gas samples for isotopic analyses as well as leaf and nutrient solution samples. Following the same scheme, the last sampling took place 24&#x2009;h after the labeling. This time, also samples from the tomato stems, roots and fruits were taken. From the middle of the tomato plant <italic>ca.</italic>, 10&#x2009;cm of the stem was cut. Around 0.5&#x2009;g of fresh roots was sampled from the interface of rock wool cubes and rock wool slabs, where a dense root net allowed to obtain root material without rock wool fibers. Root samples were washed in de-ionized water and dried with lint-free cellulose wipes to remove the <sup>15</sup>N label from adhering nutrient solution. During the second sampling campaign, each three green fruits from different positions (top, mid, and bottom) of one plant per experimental unit were sampled. All plant samples were dried for a minimum of 48&#x2009;h at 80&#x00B0;C before later processing for analysis. Different plants were used for obtaining plant material before labeling, 4 h after labeling, and 24&#x2009;h after labeling in order to minimize sampling effects on <sup>15</sup>N uptake. Gas samplings for stable isotope analysis always took place on the rock wool slab in the middle of each experimental unit, from which plant samples were taken only after the last gas sampling (24&#x2009;h after labeling). On the unplanted rock wool slabs, additional gas flux measurements took place shortly before the 24&#x2009;h sampling to determine the N<sub>2</sub>O emission potential from re-circulated nutrient solution with leachate and therein contained organic carbon.</p>
</sec>
<sec id="sec6">
<label>2.4.</label>
<title>Analyses on nutrient solution, plant, and gas samples</title>
<p>The concentrations of NO<sub>3</sub><sup>&#x2212;</sup> and NH<sub>4</sub><sup>+</sup> [mg&#x2009;N&#x2009;L<sup>&#x2212;1</sup>] were determined using flow injection analysis with photometric detection (FIAmodula; MLE GmbH, Dresden, Germany). Measurements of &#x03B4;<sup>18</sup>O values in water samples were done by TC/EA coupled to a Delta V plus IRMS (Thermo Finnigan, Bremen, Germany) <italic>via</italic> a ConFlo IV interface. The &#x03B4;<sup>15</sup>N values of NH<sub>4</sub><sup>+</sup> and NO<sub>3</sub><sup>&#x2212;</sup> were determined according to <xref ref-type="bibr" rid="ref18">Dyckmans et al. (2021)</xref> using a sample preparation unit for inorganic nitrogen (SPIN) coupled to a membrane inlet isotope ratio mass spectrometer (MIRMS; Delta plus; Thermo Finnigan) <italic>via</italic> a ConFlo III interface. Additional nutrient solution samples taken one day after the labeling were analyzed for their dissolved organic carbon content (DOC) using a liquiTOC analyzer (Elementar Analysensysteme GmbH, Langenselbold, Germany). Dried plant samples were transferred into 20&#x2009;ml HDPE vials (Zinsser Analytic GmbH, Eschborn, Germany) and ground to a fine powder using a steel ball mill (MM400; RETSCH GmbH, Haan, Germany). Plant samples were analyzed for total N content (N<sub>t</sub>) and their &#x03B4;<sup>15</sup>N values using an Elemental Analyzer (EA) Flash 2000 (Thermo Fisher Scientific, Bremen, Germany), coupled with a Delta V isotope ratio mass spectrometer <italic>via</italic> a ConFlo IV interface (Thermo Fisher Scientific, Bremen, Germany). Data were normalized to the international scale for atmospheric nitrogen, by analysis of the international standards USGS40 and USGS41 (L-glutamic acid). Gas samples were analyzed for N<sub>2</sub>O isotopocules (&#x03B4;<sup>15</sup>N<sub>N2O</sub>, &#x03B4;<sup>18</sup>O<sub>N2O</sub>) using a Delta V Isotope ratio mass spectrometer (Thermo Scientific, Bremen, Germany), coupled to an automatic preparation system with Precon plus Trace GC Isolink (Thermo Scientific, Bremen, Germany). In this setup, N<sub>2</sub>O was pre-concentrated, separated, and purified, and afterward m/z 44, 45, and 46 of the intact N<sub>2</sub>O<sup>+</sup> ions as well as m/z 30 and 31 of NO<sup>+</sup> fragment ions were determined (<xref ref-type="bibr" rid="ref36">Lewicka-Szczebak et al., 2014</xref>). All measured delta values (&#x03B4;) were expressed in permil (&#x2030;) deviation from the <sup>15</sup>N/<sup>14</sup>N and <sup>18</sup>O/<sup>16</sup>O ratios of the international reference standards (i.e., atmospheric N<sub>2</sub> and Vienna Standard Mean Ocean Water (VSMOW), respectively).</p>
</sec>
<sec id="sec7">
<label>2.5.</label>
<title>Data processing and calculations</title>
<p>Data from the analysis of natural abundance gas samples were evaluated for &#x03B4;<sup>15</sup>N&#x03B1; (&#x03B4;<sup>15</sup>N of the central N position of the N<sub>2</sub>O molecule), &#x03B4;<sup>15</sup>N&#x03B2; (&#x03B4;<sup>15</sup>N of the peripheral N position of the N<sub>2</sub>O), and &#x03B4;<sup>18</sup>O according to <xref ref-type="bibr" rid="ref63">Toyoda and Yoshida (1999)</xref> and <xref ref-type="bibr" rid="ref46">R&#x00F6;ckmann et al. (2003)</xref>. The <sup>15</sup>N site preference (&#x03B4;<sup>15</sup>N<sup>SP</sup>) was defined as the difference of &#x03B4;<sup>15</sup>N&#x03B1; and &#x03B4;<sup>15</sup>N&#x03B2;. The &#x03B4;<sup>18</sup>O values of N<sub>2</sub>O depend on &#x03B4;<sup>18</sup>O values of precursors, i.e., for denitrification to &#x003E;80% on H<sub>2</sub>O-O of the nutrient solution (<xref ref-type="bibr" rid="ref33">Lewicka-Szczebak et al., 2016</xref>). Therefore, &#x03B4;<sup>18</sup>O values of the emitted N<sub>2</sub>O (&#x03B4;<sup>18</sup>O<sub>N2O</sub>) were corrected for the &#x03B4;<sup>18</sup>O values measured in the de-ionized water (&#x03B4;<sup>18</sup>O<sub>H2O</sub>) and expressed as &#x03B4;<sup>18</sup>O<sub>N2O/H2O</sub> values:</p>
<disp-formula id="EQ1"><label>(1)</label><mml:math id="M1"><mml:mrow><mml:msup><mml:mi>&#x03B4;</mml:mi><mml:mrow><mml:mn>18</mml:mn></mml:mrow></mml:msup><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mrow><mml:mi mathvariant="normal">N</mml:mi><mml:mn>2</mml:mn><mml:mi mathvariant="normal">O</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">H</mml:mi><mml:mn>2</mml:mn><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:msup><mml:mi>&#x03B4;</mml:mi><mml:mrow><mml:mn>18</mml:mn></mml:mrow></mml:msup><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mrow><mml:mi mathvariant="normal">N</mml:mi><mml:mn>2</mml:mn><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:msub><mml:mo>&#x2212;</mml:mo><mml:msup><mml:mi>&#x03B4;</mml:mi><mml:mrow><mml:mn>18</mml:mn></mml:mrow></mml:msup><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mrow><mml:mi mathvariant="normal">H</mml:mi><mml:mn>2</mml:mn><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></disp-formula>
<p>In the case of nitrification, the &#x03B4;<sup>18</sup>O<sub>N2O</sub> values depend on atmospheric oxygen (O<sub>2</sub>) as a precursor (<xref ref-type="bibr" rid="ref30">Kool et al., 2007</xref>). In contrast to bulk &#x03B4;<sup>15</sup>N<sub>N2O</sub>, &#x03B4;<sup>15</sup>N<sup>SP</sup> is known to be independent from source processes. During chamber air sampling, the collected N<sub>2</sub>O was a mixture of atmospheric and substrate-emitted N<sub>2</sub>O. Thus, &#x03B4; values of substrate-emitted N<sub>2</sub>O were corrected using a basic isotope mixing model according to <xref ref-type="bibr" rid="ref65">Well et al. (2006)</xref>. To calculate the contribution of N<sub>2</sub>O production pathways and N<sub>2</sub>O reduction to N<sub>2</sub>, the isotopocule mapping approach based on &#x03B4;<sup>15</sup>N<sup>SP</sup><sub>N2O</sub> and &#x03B4;<sup>18</sup>O<sub>N2O</sub> values was applied (<xref ref-type="bibr" rid="ref32">Lewicka-Szczebak et al., 2017</xref>; <xref ref-type="bibr" rid="ref6">Buchen et al., 2018</xref>). For the mapping approach, literature values for &#x03B4;<sup>18</sup>O and &#x03B4;<sup>15</sup>N<sup>SP</sup><sub>N2O</sub> of bD, fD, nD, and Ni were used as proposed by <xref ref-type="bibr" rid="ref71">Yu et al. (2020)</xref> and <xref ref-type="bibr" rid="ref34">Lewicka-Szczebak et al. (2020)</xref>. To account for differences in oxygen precursors between denitrification and Ni, the literature values for &#x03B4;<sup>18</sup>O<sub>N2O</sub> of bD, fD, and nD were adjusted by the addition of &#x03B4;<sup>18</sup>O<sub>H2O</sub> (<xref ref-type="bibr" rid="ref34">Lewicka-Szczebak et al., 2020</xref>). Based on the sample position in the map, the contribution of bD and/or nD, Ni, and fD was calculated based on mixing equations, while the contribution of N<sub>2</sub>O reduction to N<sub>2</sub> was calculated from the Rayleigh equation. All calculations were done as described in detail by <xref ref-type="bibr" rid="ref6">Buchen et al. (2018)</xref> and <xref ref-type="bibr" rid="ref72">Zaman et al. (2021)</xref> (Chapter 7: &#x201C;Isotopic Techniques to Measure N<sub>2</sub>O, N<sub>2</sub> and Their Sources). Two possible cases of N<sub>2</sub>O mixing and reduction were assumed: (i) N<sub>2</sub>O, which is produced by bD is first partially reduced to N<sub>2</sub>, followed by mixing of the residual N<sub>2</sub>O with N<sub>2</sub>O from other pathways or (ii) N<sub>2</sub>O produced by various pathways is first mixed and then reduced to N<sub>2</sub>. A detailed description is given in the supplement of <xref ref-type="bibr" rid="ref68">Wu et al. (2019)</xref>. Five samples from sampling 1 and four samples from sampling 2 with a low fraction of substrate-derived N<sub>2</sub>O were excluded from the data analyses because the uncertainty in substrate-derived &#x03B4; values increases exponentially as sample and atmospheric N<sub>2</sub>O concentrations converge. Similar to <xref ref-type="bibr" rid="ref6">Buchen et al. (2018)</xref>, a threshold was used for the minimum difference between sample and atmospheric N<sub>2</sub>O concentrations, which was determined based on measured N<sub>2</sub>O concentrations in ambient air during the sampling. For sampling 1, the threshold was 337&#x2009;ppb and for sampling 2, it was 359&#x2009;ppb (65&#x2009;ppb above the ambient air N<sub>2</sub>O concentration). This was supported by a Gaussian error propagation, with the threshold limiting the propagated errors of &#x03B4;<sup>15</sup>N<sup>SP</sup><sub>N2O</sub> and &#x03B4;<sup>18</sup>O<sub>N2O</sub> to &#x003C;6&#x2030; and&#x2009;&#x003C;&#x2009;5&#x2030;, respectively.</p>
<p>Data from the analysis of <sup>15</sup>N-enriched gas samples were only evaluated for bulk &#x03B4;<sup>15</sup>N<sub>N2O</sub>. For further calculations, &#x03B4;<sup>15</sup>N values were converted to atom-%<sub>15N</sub> to express the <sup>15</sup>N enrichment:</p>
<disp-formula id="EQ2"><label>(2)</label><mml:math id="M2"><mml:mrow><mml:mtext mathvariant="italic">atom-</mml:mtext><mml:msub><mml:mi>&#x00025;</mml:mi><mml:mrow><mml:msup><mml:mrow><mml:mtext>&#x2009;</mml:mtext></mml:mrow><mml:mn>15</mml:mn></mml:msup><mml:mi>N</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:mn>100</mml:mn><mml:mi>&#x00025;</mml:mi></mml:mrow><mml:mrow><mml:mfrac><mml:mn>1</mml:mn><mml:mrow><mml:mfenced><mml:mrow><mml:mfrac><mml:mrow><mml:mi>&#x03B4;</mml:mi><mml:msup><mml:mrow><mml:mtext>&#x2009;</mml:mtext></mml:mrow><mml:mn>15</mml:mn></mml:msup><mml:mi>N</mml:mi></mml:mrow><mml:mrow><mml:mn>1000</mml:mn><mml:mo>&#x2030;</mml:mo></mml:mrow></mml:mfrac><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:mfenced><mml:mo>&#x000D7;</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mi>S</mml:mi><mml:mi>T</mml:mi><mml:mi>D</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mfrac><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:mfrac></mml:mrow></mml:math></disp-formula>
<p>with <italic>R<sub>STD</sub></italic> being the isotopic ratio (<sup>15</sup>N/<sup>14</sup>N&#x2009;=&#x2009;0.0036765) of atmospheric nitrogen. Calculations of the contributions of N<sub>2</sub>O originating from the labeled and non-labeled pools were based on the non-equilibrium distribution of N<sub>2</sub>O isotopocules, as described by <xref ref-type="bibr" rid="ref56">Spott et al. (2006)</xref> and <xref ref-type="bibr" rid="ref4">Bergsma et al. (2001)</xref>. For labeling with <sup>15</sup>NO<sub>3</sub><sup>&#x2212;</sup>, this approach directly determines the <sup>15</sup>N enrichment of the labeled N pool producing N<sub>2</sub>O (ap<sub>N2O</sub>) and the fraction of N<sub>2</sub>O derived from that pool. Considering, the fraction of atmospheric N<sub>2</sub>O in the samples, the fraction of NO<sub>3</sub><sup>&#x2212;</sup>-derived N<sub>2</sub>O in the emitted N<sub>2</sub>O (f<sub>PN2O</sub>) can be calculated. A detailed procedure is given in <xref ref-type="bibr" rid="ref17">Deppe et al. (2017)</xref>. However, due to the experimental setup, labeled N<sub>2</sub>O could originate from two pools (NO<sub>3</sub><sup>&#x2212;</sup>, NH<sub>4</sub><sup>+</sup>, or a mixture of both pools). Thus, for labeling with <sup>15</sup>NH<sub>4</sub><sup>+</sup>, f<sub>PN2O</sub> was estimated based on the <sup>15</sup>N atom fraction of emitted N<sub>2</sub>O (<sup>15</sup>a<sub>N2O</sub>) using a mixing equation:</p>
<disp-formula id="EQ3"><label>(3)</label><mml:math id="M3"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mrow><mml:mi>P</mml:mi><mml:mi>N</mml:mi><mml:mn>2</mml:mn><mml:mi>O</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:msup><mml:mrow><mml:mtext>&#x2009;</mml:mtext></mml:mrow><mml:mn>15</mml:mn></mml:msup><mml:mi>a</mml:mi><mml:mrow><mml:mtext>&#x2009;</mml:mtext></mml:mrow><mml:msub><mml:mrow><mml:mtext>&#x2009;</mml:mtext></mml:mrow><mml:mrow><mml:mi>N</mml:mi><mml:mn>2</mml:mn><mml:mi>O</mml:mi></mml:mrow></mml:msub><mml:mo>&#x02212;</mml:mo><mml:msup><mml:mrow><mml:mtext>&#x2009;</mml:mtext></mml:mrow><mml:mn>15</mml:mn></mml:msup><mml:mi>a</mml:mi><mml:mi>N</mml:mi><mml:msubsup><mml:mi>H</mml:mi><mml:mn>4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow><mml:mrow><mml:msup><mml:mrow><mml:mtext>&#x2009;</mml:mtext></mml:mrow><mml:mn>15</mml:mn></mml:msup><mml:mi>a</mml:mi><mml:mi>N</mml:mi><mml:msubsup><mml:mi>O</mml:mi><mml:mn>3</mml:mn><mml:mo>&#x02212;</mml:mo></mml:msubsup><mml:mo>&#x02212;</mml:mo><mml:msup><mml:mrow><mml:mtext>&#x2009;</mml:mtext></mml:mrow><mml:mn>15</mml:mn></mml:msup><mml:mi>a</mml:mi><mml:mi>N</mml:mi><mml:msubsup><mml:mi>H</mml:mi><mml:mn>4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:mfrac></mml:mrow></mml:math></disp-formula>
<p>with <italic><sup>15</sup>aNO<sub>3</sub><sup>&#x2212;</sup></italic> being the <sup>15</sup>N enrichment of the NO<sub>3</sub><sup>&#x2212;</sup> pool and <italic><sup>15</sup>aNH<sub>4</sub><sup>+</sup></italic> being the <sup>15</sup>N enrichment of the NH<sub>4</sub><sup>+</sup> pool (<italic>cf.</italic> <xref ref-type="disp-formula" rid="EQ2">Eq. 2</xref>). The N<sub>2</sub>O flux from the NO<sub>3</sub><sup>&#x2212;</sup> pool (NO<sub>3</sub><sup>&#x2212;</sup>-derived N<sub>2</sub>O) was calculated from f<sub>PN2O</sub> by ordinary linear regression using the measured N<sub>2</sub>O concentrations at t0 and after 1&#x2009;h of chamber closure to determine the total N<sub>2</sub>O flux (total N<sub>2</sub>O), assuming that the increase in the N<sub>2</sub>O emitted from the <sup>15</sup>N-labeled pool was also linear as shown for the emission of total N<sub>2</sub>O (<xref ref-type="bibr" rid="ref7">Buchen et al., 2016</xref>). The N<sub>2</sub>O flux from the NH<sub>4</sub><sup>+</sup> pool (NH<sub>4</sub><sup>+</sup>-derived N<sub>2</sub>O) was calculated analogously based on the fraction of NH<sub>4</sub><sup>+</sup>-derived N<sub>2</sub>O in the emitted N<sub>2</sub>O (f<sub>NH4</sub>), which was deduced from f<sub>PN2O</sub> (f<sub>NH4</sub>&#x2009;=&#x2009;1 &#x2013; f<sub>PN2O</sub>). Thus, the NH<sub>4</sub><sup>+</sup>-derived N<sub>2</sub>O was calculated as the difference between total N<sub>2</sub>O and NO<sub>3</sub><sup>&#x2212;</sup>-derived N<sub>2</sub>O.</p>
</sec>
<sec id="sec8">
<label>2.6.</label>
<title>Calculation of excess <sup>15</sup>N and <sup>15</sup>N mass balance</title>
<p>To determine the amount of <sup>15</sup>N tracer, which was recovered in the different pools 4 and 24&#x2009;h after the labeling (excess <sup>15</sup>N), atom-%<sub>15N</sub> values were used to calculate atom-% <sup>15</sup>N excess (APE):</p>
<disp-formula id="EQ4"><label>(4)</label><mml:math id="M4"><mml:mrow><mml:mi>A</mml:mi><mml:mi>P</mml:mi><mml:mi>E</mml:mi><mml:mo>=</mml:mo><mml:mtext mathvariant="italic">atom-</mml:mtext><mml:msub><mml:mi>&#x00025;</mml:mi><mml:mrow><mml:msup><mml:mrow><mml:mtext>&#x2009;</mml:mtext></mml:mrow><mml:mn>15</mml:mn></mml:msup><mml:mi>N</mml:mi><mml:mo>,</mml:mo><mml:mtext mathvariant="italic">labeled</mml:mtext></mml:mrow></mml:msub><mml:mo>&#x02212;</mml:mo><mml:mtext mathvariant="italic">atom-</mml:mtext><mml:msub><mml:mi>&#x00025;</mml:mi><mml:mrow><mml:msup><mml:mrow><mml:mtext>&#x2009;</mml:mtext></mml:mrow><mml:mn>15</mml:mn></mml:msup><mml:mi>N</mml:mi><mml:mo>,</mml:mo><mml:mtext mathvariant="italic">natural&#x000A0;abundanc</mml:mtext><mml:mi>e</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></disp-formula>
<p>with <italic>atom-%<sub>15N,labeled</sub></italic> being the atom-%<sub>15N</sub> values of labeled samples and <italic>atom-%<sub>15N,natural abundance</sub></italic> being the atom-%<sub>15N</sub> values of natural abundance samples. Afterward, excess <sup>15</sup>N [mg <sup>15</sup>N unit<sup>&#x2212;1</sup>] for each pool was calculated:</p>
<disp-formula id="EQ5"><label>(5)</label><mml:math id="M5"><mml:mrow><mml:mtext mathvariant="italic">excess</mml:mtext><mml:mspace width="thickmathspace"/><mml:msup><mml:mrow><mml:mtext>&#x2009;</mml:mtext></mml:mrow><mml:mn>15</mml:mn></mml:msup><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:mi>A</mml:mi><mml:mi>P</mml:mi><mml:mi>E</mml:mi></mml:mrow><mml:mrow><mml:mn>100</mml:mn><mml:mi>&#x0025;</mml:mi></mml:mrow></mml:mfrac><mml:mo>&#x00D7;</mml:mo><mml:msub><mml:mi>N</mml:mi><mml:mrow><mml:mtext mathvariant="italic">pool</mml:mtext></mml:mrow></mml:msub></mml:mrow></mml:math></disp-formula>
<p>with <italic>N<sub>pool</sub></italic> being the N amount in each pool [mg&#x2009;N unit<sup>&#x2212;1</sup>] at the time of sampling (4/24&#x2009;h after labeling). The <italic>N<sub>pool</sub></italic> values for plant biomass were calculated by multiplying the measured dry weight [g] of shoots (leaves&#x2009;+&#x2009;stems), roots and fruits per unit with their N<sub>t</sub> content [g&#x2009;N g<sub>dry weight</sub><sup>&#x2212;1</sup>]. The <italic>N<sub>pool</sub></italic> values for NO<sub>3</sub><sup>&#x2212;</sup>-N and NH<sub>4</sub><sup>+</sup>-N from the nutrient solution were calculated by multiplying the measured N concentrations [mg&#x2009;N&#x2009;L<sup>&#x2212;1</sup>] with the total volume of nutrient solution per unit [L]. The latter was a mixture of nutrient solution added for the labeling and remaining (unlabeled) nutrient solution in the rock wool substrate. The total volume of the nutrient solution was estimated based on the dilution of NH<sub>4</sub><sup>+</sup>-N concentrations from the labeled nutrient solution (73&#x2009;mg&#x2009;N&#x2009;L<sup>&#x2212;1</sup> in 15&#x2009;l) at the 4&#x2009;h sampling point, assuming that NH<sub>4</sub><sup>+</sup>-N concentrations in the unlabeled nutrient solutions were negligible (measured concentrations in natural abundance samples &#x003C;2.5&#x2009;mg&#x2009;N&#x2009;L<sup>&#x2212;1</sup> at first sampling campaign and &#x003C;7&#x2009;mg&#x2009;N&#x2009;L<sup>&#x2212;1</sup> at second sampling campaign) and that the N<sub>t</sub> content as well as composition in the mixed nutrient solution did not substantially change during the 4 h. For the calculation of excess <sup>15</sup>N, two neighboring units were excluded from the second sampling campaign, because of a spillover of labeled nutrient solution between these units. The <italic>N<sub>pool</sub></italic> values for N<sub>2</sub>O were calculated from the measured gas flux rates [mg&#x2009;N&#x2009;h<sup>&#x2212;1</sup>] of planted and unplanted rock wool slabs. For the planted rock wool slabs, cumulative N<sub>2</sub>O emissions [mg&#x2009;N] were calculated by linear integration between the natural abundance (0&#x2009;h), 4&#x2009;h, and 24&#x2009;h samplings, and summation of hourly gas fluxes. For unplanted rock wool slabs, constant N<sub>2</sub>O emission rates were assumed and used to calculate cumulative N<sub>2</sub>O emissions, as they were not affected by plant activity. For calculating the <italic>N<sub>pool</sub></italic> value per unit, cumulative N<sub>2</sub>O emissions from planted rock wool slabs were multiplied by 2 (two planted slabs per unit) and the cumulative N<sub>2</sub>O emissions from unplanted slabs (one per unit) were added. Finally, the excess <sup>15</sup>N values from the different pools were summed up to obtain the total amount of <sup>15</sup>N recovered from the labeling (<sup>15</sup>N<sub>total</sub>) and the <sup>15</sup>N recovery rate [%] was calculated:</p>
<disp-formula id="EQ6"><label>(6)</label><mml:math id="M6"><mml:mrow><mml:msup><mml:mrow><mml:mtext>&#x2009;</mml:mtext></mml:mrow><mml:mn>15</mml:mn></mml:msup><mml:mi>N</mml:mi><mml:mspace width="thickmathspace"/><mml:mtext mathvariant="italic">recovery&#x00A0;rate</mml:mtext><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:msup><mml:mrow><mml:mtext>&#x2009;</mml:mtext></mml:mrow><mml:mn>15</mml:mn></mml:msup><mml:mi>N</mml:mi><mml:msub><mml:mrow><mml:mtext>&#x2009;</mml:mtext></mml:mrow><mml:mrow><mml:mtext mathvariant="italic">total</mml:mtext></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msup><mml:mrow><mml:mtext>&#x2009;</mml:mtext></mml:mrow><mml:mn>15</mml:mn></mml:msup><mml:mi>N</mml:mi><mml:msub><mml:mrow><mml:mtext>&#x2009;</mml:mtext></mml:mrow><mml:mrow><mml:mtext mathvariant="italic">label</mml:mtext></mml:mrow></mml:msub></mml:mrow></mml:mfrac><mml:mo>&#x00D7;</mml:mo><mml:mn>100</mml:mn><mml:mi>&#x0025;</mml:mi></mml:mrow></mml:math></disp-formula>
<p>with <italic><sup>15</sup>N<sub>label</sub></italic> being the amount of <sup>15</sup>N tracer [mg <sup>15</sup>N unit<sup>&#x2212;1</sup>] added during the labeling.</p>
</sec>
<sec id="sec9">
<label>2.7.</label>
<title>Statistical analyses</title>
<p>All statistical analyses were done using the R software (version 4.2.0). Linear mixed-effects models were done using the R package &#x2018;lme4&#x2019; (version 1.1&#x2013;29), including the effects of individual hydroponic units as random intercept. <italic>Post-hoc</italic> tests on linear mixed-effects models were done using the R package &#x201C;emmeans&#x201D; (version 1.7.4&#x2013;1), applying the Holm-Bonferroni correction method for multiple comparisons. If necessary, data were log- or square root-transformed prior to analysis to fulfill the requirements of normality and variance homogeneity.</p>
</sec>
</sec>
<sec id="sec10" sec-type="results">
<label>3.</label>
<title>Results</title>
<sec id="sec11">
<label>3.1.</label>
<title>N<sub>2</sub>O flux, isotopocule, and <sup>15</sup>N tracer analyses</title>
<p>The N<sub>2</sub>O flux measurements from this study are summarized in <xref rid="tab1" ref-type="table">Table 1</xref>. In general, all fluxes were in the same range, except for the measurement 24&#x2009;h after labeling during the first sampling, which was significantly (<italic>p</italic>&#x2009;&#x003C;&#x2009;0.05) higher than the other measurements. There was no significant difference between planted and unplanted rock wool slabs from the same sampling campaign. The trend to higher N<sub>2</sub>O emissions from unplanted substrate during sampling 2 was reflected by higher DOC contents in the nutrient solution compared to sampling 1 (<xref rid="tab1" ref-type="table">Table 1</xref>).</p>
<table-wrap position="float" id="tab1">
<label>Table 1</label>
<caption><p>N<sub>2</sub>O fluxes (determined by gas chromatography) and dissolved organic carbon (DOC) concentrations at the two sampling campaigns (sampling 1, S1; sampling 2, S2).</p></caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Date</th>
<th align="left" valign="top">Sampling, sample</th>
<th align="center" valign="top">N<sub>2</sub>O flux (g-N&#x2009;ha<sup>&#x2212;1</sup> d<sup>&#x2212;1</sup>)</th>
<th align="center" valign="top">DOC (mg&#x2009;L<sup>&#x2212;1</sup>)</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top" rowspan="2">2021-09-22</td>
<td align="left" valign="top">S1, T0</td>
<td align="char" valign="top" char=".">0.21&#x2009;&#x00B1;&#x2009;0.22<sup>a</sup></td>
<td align="char" valign="top" char=".">&#x2013;</td>
</tr>
<tr>
<td align="left" valign="top">S1, T4</td>
<td align="char" valign="top" char=".">0.44 &#x00B1; 0.27<sup>ab</sup></td>
<td align="char" valign="top" char=".">&#x2013;</td>
</tr>
<tr>
<td align="left" valign="top" rowspan="2">2021-09-23</td>
<td align="left" valign="top">S1, unplanted</td>
<td align="char" valign="top" char=".">0.52 &#x00B1; 0.55<sup>ab</sup></td>
<td align="char" valign="top" char=".">8.9&#x2009;&#x00B1;&#x2009;0.6<sup>a</sup></td>
</tr>
<tr>
<td align="left" valign="top">S1, T24</td>
<td align="char" valign="top" char=".">2.59 &#x00B1; 1.32<sup>c</sup></td>
<td align="char" valign="top" char=".">&#x2013;</td>
</tr>
<tr>
<td align="left" valign="top" rowspan="2">2021-11-03</td>
<td align="left" valign="top">S2, T0</td>
<td align="char" valign="top" char=".">0.38 &#x00B1; 0.30<sup>ab</sup></td>
<td align="char" valign="top" char=".">&#x2013;</td>
</tr>
<tr>
<td align="left" valign="top">S2, T4</td>
<td align="char" valign="top" char=".">0.29 &#x00B1; 0.13<sup>ab</sup></td>
<td align="char" valign="top" char=".">&#x2013;</td>
</tr>
<tr>
<td align="left" valign="top" rowspan="2">2021-11-04</td>
<td align="left" valign="top">S2, unplanted</td>
<td align="char" valign="top" char=".">0.91 &#x00B1; 0.76<sup>b</sup></td>
<td align="char" valign="top" char=".">16.8&#x2009;&#x00B1;&#x2009;0.9<sup>b</sup></td>
</tr>
<tr>
<td align="left" valign="top">S2, T24</td>
<td align="char" valign="top" char=".">0.27 &#x00B1; 0.16<sup>ab</sup></td>
<td align="char" valign="top" char=".">&#x2013;</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p><sup>a&#x2013;c</sup>Small letters indicate significant differences (<italic>p</italic>&#x2009;&#x003C;&#x2009;0.05) between individual gas flux/DOC measurements. N<sub>2</sub>O fluxes from planted rock wool slabs were measured before <sup>15</sup>N labeling (T0), 4&#x2009;h after <sup>15</sup>N labeling (T4), and 24&#x2009;h (T24) after <sup>15</sup>N labeling. N<sub>2</sub>O fluxes from unplanted rock wool slabs (unplanted) and DOC concentrations were measured once during each sampling campaign. Shown are average values &#x00B1;SD of <italic>n</italic>&#x2009;=&#x2009;8 replicates (including low N<sub>2</sub>O fluxes removed for stable isotope analysis of natural abundance samples).</p>
</table-wrap-foot>
</table-wrap>
<p>Results from isotopic analyses of N<sub>2</sub>O are shown in <xref rid="fig1" ref-type="fig">Figure 1</xref> as a &#x03B4;<sup>15</sup>N<sup>SP</sup><sub>N2O</sub>/&#x03B4;<sup>18</sup>O<sub>N2O</sub> map. The &#x03B4; values from both samplings clearly scatter around the reduction line of N<sub>2</sub>O derived from bD, indicating that either bD or nD or a mixture of both was the main source of N<sub>2</sub>O. Moreover, the increased &#x03B4;<sup>15</sup>N<sup>SP</sup><sub>N2O</sub> and &#x03B4;<sup>18</sup>O<sub>N2O</sub> values compared to the literature value for bD indicate that a high share of N<sub>2</sub>O was reduced before emitted to the atmosphere. Altogether, the differences in isotopic results between the first and the second sampling campaign were negligible (<xref rid="tab2" ref-type="table">Table 2</xref>). Depending on which scenario (mixing of bD and fD or bD and Ni) and case (first reduction than mixing or first mixing than reduction) was assumed, the fraction of bD varied between 0.85 and 0.90, while the N<sub>2</sub>O/(N<sub>2</sub>O&#x2009;+&#x2009;N<sub>2</sub>) ratio of bD (r<sub>N2O</sub>) varied between 0.08 and 0.14. In consequence, the calculated N<sub>2</sub> fluxes were between six to ten times higher than the measured N<sub>2</sub>O fluxes.</p>
<fig position="float" id="fig1">
<label>Figure 1</label>
<caption><p>Results from N<sub>2</sub>O isotopocule analysis of natural abundance <sup>15</sup>N gas samples illustrated as &#x03B4;<sup>15</sup>N<sup>SP</sup><sub>N2O</sub>/&#x03B4;<sup>18</sup>O<sub>N2O</sub> map. The vertical axis shows the <sup>15</sup>N site preference of N<sub>2</sub>O (&#x03B4;<sup>15</sup>N<sup>SP</sup><sub>N2O</sub>) and the horizontal axis the abundance of the <sup>18</sup>O isotope in the N<sub>2</sub>O molecules (&#x03B4;<sup>18</sup>O<sub>N2O</sub>). Sample &#x03B4;<sup>18</sup>O<sub>N2O</sub> values were corrected for the <sup>18</sup>O composition of water from the nutrient solution (&#x03B4;<sup>18</sup>O<sub>N2O/H2O</sub>) as described in <xref ref-type="disp-formula" rid="EQ1">Eq. 1</xref>. Closed circles represent the measurement-derived values and the corresponding error bars the estimated uncertainty. Other symbols indicate literature values as compiled in <xref ref-type="bibr" rid="ref34">Lewicka-Szczebak et al. (2020)</xref> for N<sub>2</sub>O produced from different microbial processes and the surrounding boxes reflect their variation (based on SD): Ni, nitrification (<xref ref-type="bibr" rid="ref69">Yoshida, 1988</xref>; <xref ref-type="bibr" rid="ref61">Sutka et al., 2006</xref>; <xref ref-type="bibr" rid="ref41">Mandernack et al., 2009</xref>; <xref ref-type="bibr" rid="ref22">Frame and Casciotti, 2010</xref>); fD, fungal denitrification (<xref ref-type="bibr" rid="ref60">Sutka et al., 2008</xref>; <xref ref-type="bibr" rid="ref47">Rohe et al., 2014</xref>; <xref ref-type="bibr" rid="ref40">Maeda et al., 2015</xref>; <xref ref-type="bibr" rid="ref48">Rohe et al., 2017</xref>); nD, nitrifier denitrification (<xref ref-type="bibr" rid="ref61">Sutka et al., 2006</xref>; <xref ref-type="bibr" rid="ref22">Frame and Casciotti, 2010</xref>); and bD, bacterial denitrification (<xref ref-type="bibr" rid="ref3">Barford et al., 1999</xref>; <xref ref-type="bibr" rid="ref62">Toyoda et al., 2005</xref>; <xref ref-type="bibr" rid="ref61">Sutka et al., 2006</xref>; <xref ref-type="bibr" rid="ref36">Lewicka-Szczebak et al., 2014</xref>, <xref ref-type="bibr" rid="ref33">2016</xref>; <xref ref-type="bibr" rid="ref48">Rohe et al., 2017</xref>). According to <xref ref-type="bibr" rid="ref34">Lewicka-Szczebak et al. (2020)</xref>, the literature values of bD, fD and nD were adjusted by addition of the &#x03B4;<sup>18</sup>O of water (&#x2212;8.5&#x2030;) measured in this study to display expected endmember ranges. The solid line indicates the isotopic shift of N<sub>2</sub>O due to fractionation from the partial reduction of N<sub>2</sub>O to N<sub>2</sub> by bD (<xref ref-type="bibr" rid="ref42">Menyailo and Hungate, 2006</xref>; <xref ref-type="bibr" rid="ref45">Ostrom et al., 2007</xref>; <xref ref-type="bibr" rid="ref28">Jinuntuya-Nortman et al., 2008</xref>; <xref ref-type="bibr" rid="ref64">Well and Flessa, 2009</xref>; <xref ref-type="bibr" rid="ref36">Lewicka-Szczebak et al., 2014</xref>, <xref ref-type="bibr" rid="ref35">2015</xref>) and is shown for theoretical r<sub>N2O</sub> values of 1 to 0.05. The dotted and the dashed lines represent expected values for different mixing ratios of N<sub>2</sub>O from bD and fD (bD-fD line) and N<sub>2</sub>O from bD and Ni (bD-Ni line), respectively.</p></caption>
<graphic xlink:href="fmicb-13-1080847-g001.tif"/>
</fig>
<table-wrap position="float" id="tab2">
<label>Table 2</label>
<caption><p>Measured N<sub>2</sub>O flux, estimated fraction of N<sub>2</sub>O from bacterial denitrification (f<sub>bD</sub>), estimated N<sub>2</sub>O/(N<sub>2</sub>O&#x2009;+&#x2009;N<sub>2</sub>) ratio of denitrification (r<sub>N2O</sub>), and estimated N<sub>2</sub> flux for different mixing scenarios (bacterial denitrification and fungal denitrification, bD-fD; bacterial denitrification and nitrification, bD-Ni) and cases (reduction of N<sub>2</sub>O from denitrification followed by mixing with N<sub>2</sub>O from other sources, red-mix; mixing of N<sub>2</sub>O from denitrification and other source followed by N<sub>2</sub>O reduction, mix-red).</p></caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Variable</th>
<th align="left" valign="top">Scenario</th>
<th align="left" valign="top">Case</th>
<th align="center" valign="top">Value sampling 1</th>
<th align="center" valign="top">Value sampling 2</th>
<th align="center" valign="top">Unit</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top" rowspan="2">f<sub>bD</sub></td>
<td align="left" valign="top">bD-fD</td>
<td align="left" valign="top">All</td>
<td align="char" valign="top" char=".">0.85&#x2009;&#x00B1;&#x2009;0.05</td>
<td align="char" valign="top" char=".">0.87&#x2009;&#x00B1;&#x2009;0.13</td>
<td align="center" valign="top" rowspan="6">-</td>
</tr>
<tr>
<td align="left" valign="top">bD-Ni</td>
<td align="left" valign="top">All</td>
<td align="char" valign="top" char=".">0.88&#x2009;&#x00B1;&#x2009;0.04</td>
<td align="char" valign="top" char=".">0.90&#x2009;&#x00B1;&#x2009;0.10</td>
</tr>
<tr>
<td align="left" valign="top" rowspan="4">r<sub>N2O</sub></td>
<td align="left" valign="top" rowspan="2">bD-fD</td>
<td align="left" valign="top">Red-mix</td>
<td align="char" valign="top" char=".">0.09&#x2009;&#x00B1;&#x2009;0.01</td>
<td align="char" valign="top" char=".">0.10&#x2009;&#x00B1;&#x2009;&#x003C;0.01</td>
</tr>
<tr>
<td align="left" valign="top">Mix-red</td>
<td align="char" valign="top" char=".">0.13&#x2009;&#x00B1;&#x2009;0.02</td>
<td align="char" valign="top" char=".">0.14&#x2009;&#x00B1;&#x2009;0.04</td>
</tr>
<tr>
<td align="left" valign="top" rowspan="2">bD-Ni</td>
<td align="left" valign="top">Red-mix</td>
<td align="char" valign="top" char=".">0.08&#x2009;&#x00B1;&#x2009;0.01</td>
<td align="char" valign="top" char=".">0.09&#x2009;&#x00B1;&#x2009;0.01</td>
</tr>
<tr>
<td align="left" valign="top">Mix-red</td>
<td align="char" valign="top" char=".">0.11&#x2009;&#x00B1;&#x2009;0.01</td>
<td align="char" valign="top" char=".">0.12&#x2009;&#x00B1;&#x2009;0.02</td>
</tr>
<tr>
<td align="left" valign="top">N<sub>2</sub>O flux</td>
<td align="left" valign="top">All</td>
<td align="left" valign="top">All</td>
<td align="char" valign="top" char=".">1.7&#x2009;&#x00B1;&#x2009;0.2</td>
<td align="char" valign="top" char=".">2.5&#x2009;&#x00B1;&#x2009;1.0</td>
<td align="center" valign="top" rowspan="5">&#x03BC;g&#x2009;N&#x2009;m<sup>&#x2212;2</sup> h<sup>&#x2212;1</sup></td>
</tr>
<tr>
<td align="left" valign="top" rowspan="4">N<sub>2</sub> flux</td>
<td align="left" valign="top" rowspan="2">bD-fD</td>
<td align="left" valign="top">Red-mix</td>
<td align="char" valign="top" char=".">14.5&#x2009;&#x00B1;&#x2009;0.2</td>
<td align="char" valign="top" char=".">19.9&#x2009;&#x00B1;&#x2009;10.2</td>
</tr>
<tr>
<td align="left" valign="top">Mix-red</td>
<td align="char" valign="top" char=".">11.4&#x2009;&#x00B1;&#x2009;1.0</td>
<td align="char" valign="top" char=".">17.8&#x2009;&#x00B1;&#x2009;11.7</td>
</tr>
<tr>
<td align="left" valign="top" rowspan="2">bD-Ni</td>
<td align="left" valign="top">Red-mix</td>
<td align="char" valign="top" char=".">17.0&#x2009;&#x00B1;&#x2009;1.0</td>
<td align="char" valign="top" char=".">21.9&#x2009;&#x00B1;&#x2009;8.8</td>
</tr>
<tr>
<td align="left" valign="top">Mix-red</td>
<td align="char" valign="top" char=".">13.8&#x2009;&#x00B1;&#x2009;0.2</td>
<td align="char" valign="top" char=".">19.6&#x00B1;10.4</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>Shown are average values&#x2009;&#x00B1;&#x2009;SD (<italic>n</italic>&#x2009;=&#x2009;3 for Sampling 1; <italic>n</italic>&#x2009;=&#x2009;4 for Sampling 2).</p>
</table-wrap-foot>
</table-wrap>
<p>Although the same amounts of NO<sub>3</sub><sup>&#x2212;</sup>-N and NH<sub>4</sub><sup>+</sup>-N were added in the form of NH<sub>4</sub>NO<sub>3</sub> during each <sup>15</sup>N labeling, NO<sub>3</sub>- concentrations were clearly higher than NH<sub>4</sub>+ concentrations in the nutrient solution after labeling (<xref rid="tab3" ref-type="table">Table 3</xref>). This indicated that a significant amount of unlabeled nutrient solution with a high NO<sub>3</sub><sup>&#x2212;</sup> to NH<sub>4</sub><sup>+</sup> ratio was still present in the rock wool substrate during <sup>15</sup>N labeling. Regardless of the higher dilution of <sup>15</sup>NO<sub>3</sub><sup>&#x2212;</sup> label (<xref rid="tab3" ref-type="table">Table 3</xref>; <xref rid="SM1" ref-type="supplementary-material">Supplementary Figure S6</xref>), the <sup>15</sup>N tracer could be detected in the emitted N<sub>2</sub>O independent of the applied form (<sup>15</sup>NH<sub>4</sub><sup>+</sup> or <sup>15</sup>NO<sub>3</sub><sup>&#x2212;</sup>). The <sup>15</sup>a<sub>N2O</sub> values mirrored the <sup>15</sup>N enrichments of the labeled NO<sub>3</sub><sup>&#x2212;</sup> and NH<sub>4</sub><sup>+</sup> pools, with higher values in of <sup>15</sup>NH<sub>4</sub><sup>+</sup>-labeled units compared to <sup>15</sup>NO<sub>3</sub><sup>&#x2212;</sup>-labeled units (<xref rid="SM1" ref-type="supplementary-material">Supplementary Figure S6</xref>). The label dilution was considered for calculating NO<sub>3</sub><sup>&#x2212;</sup>-derived N<sub>2</sub>O and NH<sub>4</sub><sup>+</sup>-derived N<sub>2</sub>O. The NO<sub>3</sub><sup>&#x2212;</sup>-derived N<sub>2</sub>O (<xref rid="fig2" ref-type="fig">Figures 2A</xref>,<xref rid="fig2" ref-type="fig">B</xref>) reflected the N<sub>2</sub>O emission rates measured by GC (<xref rid="tab1" ref-type="table">Table 1</xref>), with highest values found 24&#x2009;h after the first labeling. There was no clear difference in NO<sub>3</sub><sup>&#x2212;</sup>-derived N<sub>2</sub>O between the <sup>15</sup>NH<sub>4</sub><sup>+</sup> and <sup>15</sup>NO<sub>3</sub><sup>&#x2212;</sup> labels. In general, the NH<sub>4</sub><sup>+</sup>-derived N<sub>2</sub>O values (<xref rid="fig2" ref-type="fig">Figures 2C</xref>,<xref rid="fig2" ref-type="fig">D</xref>) were lower than the NO<sub>3</sub><sup>&#x2212;</sup>-derived N<sub>2</sub>O values, but also followed the dynamics of N<sub>2</sub>O emission rates measured by GC. Notably, NH<sub>4</sub><sup>+</sup>-derived N<sub>2</sub>O was higher for <sup>15</sup>NO<sub>3</sub><sup>&#x2212;</sup>-labeled units compared to <sup>15</sup>NH<sub>4</sub><sup>+</sup>-labeled units during sampling 2. Consequently, the calculated average f<sub>PN2O</sub> values varied from 0.4 to 0.9 between the applied label forms, sampling times, and sampling campaigns (<xref rid="fig2" ref-type="fig">Figures 2C</xref>,<xref rid="fig2" ref-type="fig">D</xref>). During both sampling campaigns, an increase of f<sub>PN2O</sub> from 4&#x2009;h to 24&#x2009;h after labeling was present for the <sup>15</sup>NO<sub>3</sub><sup>&#x2212;</sup>-labeled units, while there was no effect of sampling time for the <sup>15</sup>NH<sub>4</sub><sup>+</sup>-labeled units. The latter showed higher f<sub>PN2O</sub> values during the second sampling campaign, which was also significantly higher than for the <sup>15</sup>NO<sub>3</sub><sup>&#x2212;</sup>-labeled units at 4&#x2009;h after labeling.</p>
<table-wrap position="float" id="tab3">
<label>Table 3</label>
<caption><p>Concentrations and <sup>15</sup>N-enrichment of dissolved ammonium and nitrate in the nutrient solution during the two sampling campaigns, including samples taken before <sup>15</sup>N labeling (T0) and 4/24&#x2009;h afterward (T4/T24).</p></caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top" rowspan="2">Label</th>
<th align="left" valign="top" rowspan="2">Sampling</th>
<th align="left" valign="top" rowspan="2">Time</th>
<th align="center" valign="top" colspan="2">Dissolved NH<sub>4</sub><sup>+</sup></th>
<th align="center" valign="top" colspan="2">Dissolved NO<sub>3</sub><sup>&#x2212;</sup></th>
</tr>
<tr>
<th align="center" valign="top">N content (mg&#x2009;L<sup>&#x2212;1</sup>)</th>
<th align="center" valign="top"><sup>15</sup>N-enrichment (atom-% <sup>15</sup>N excess)</th>
<th align="center" valign="top">N content (mg&#x2009;L<sup>&#x2212;1</sup>)</th>
<th align="center" valign="top"><sup>15</sup>N-enrichment (atom-% <sup>15</sup>N excess)</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top" rowspan="6"><sup>15</sup>NH<sub>4</sub><sup>+</sup></td>
<td align="left" valign="top" rowspan="3">S1</td>
<td align="left" valign="top">T0</td>
<td align="char" valign="top" char=".">1.6&#x2009;&#x00B1;&#x2009;0.7</td>
<td align="char" valign="top" char=".">&#x2013;</td>
<td align="char" valign="top" char=".">166&#x2009;&#x00B1;&#x2009;12</td>
<td align="char" valign="top" char=".">&#x2013;</td>
</tr>
<tr>
<td align="left" valign="top">T4</td>
<td align="char" valign="top" char=".">36&#x2009;&#x00B1;&#x2009;9</td>
<td align="char" valign="top" char=".">10.04&#x2009;&#x00B1;&#x2009;0.04</td>
<td align="char" valign="top" char=".">111&#x2009;&#x00B1;&#x2009;11</td>
<td align="char" valign="top" char=".">0.012&#x2009;&#x00B1;&#x2009;0.008</td>
</tr>
<tr>
<td align="left" valign="top">T24</td>
<td align="char" valign="top" char=".">33&#x2009;&#x00B1;&#x2009;6</td>
<td align="char" valign="top" char=".">9.96&#x2009;&#x00B1;&#x2009;0.06</td>
<td align="char" valign="top" char=".">122&#x2009;&#x00B1;&#x2009;16</td>
<td align="char" valign="top" char=".">0.061&#x2009;&#x00B1;&#x2009;0.024</td>
</tr>
<tr>
<td align="left" valign="top" rowspan="3">S2</td>
<td align="left" valign="top">T0</td>
<td align="char" valign="top" char=".">5.9&#x2009;&#x00B1;&#x2009;0.7</td>
<td align="char" valign="top" char=".">&#x2013;</td>
<td align="char" valign="top" char=".">258&#x2009;&#x00B1;&#x2009;11</td>
<td align="char" valign="top" char=".">&#x2013;</td>
</tr>
<tr>
<td align="left" valign="top">T4</td>
<td align="char" valign="top" char=".">61&#x2009;&#x00B1;&#x2009;9</td>
<td align="char" valign="top" char=".">6.59&#x2009;&#x00B1;&#x2009;0.04</td>
<td align="char" valign="top" char=".">232&#x2009;&#x00B1;&#x2009;14</td>
<td align="char" valign="top" char=".">0.0004&#x2009;&#x00B1;&#x2009;0.0018</td>
</tr>
<tr>
<td align="left" valign="top">T24</td>
<td align="char" valign="top" char=".">53&#x2009;&#x00B1;&#x2009;12</td>
<td align="char" valign="top" char=".">6.53&#x2009;&#x00B1;&#x2009;0.07</td>
<td align="char" valign="top" char=".">250&#x2009;&#x00B1;&#x2009;15</td>
<td align="char" valign="top" char=".">0.009&#x2009;&#x00B1;&#x2009;0.007</td>
</tr>
<tr>
<td align="left" valign="top" rowspan="6"><sup>15</sup>NO<sub>3</sub><sup>&#x2212;</sup></td>
<td align="left" valign="top" rowspan="3">S1</td>
<td align="left" valign="top">T0</td>
<td align="char" valign="top" char=".">1.0&#x2009;&#x00B1;&#x2009;0.6</td>
<td align="char" valign="top" char=".">&#x2013;</td>
<td align="char" valign="top" char=".">161&#x2009;&#x00B1;&#x2009;8</td>
<td align="char" valign="top" char=".">&#x2013;</td>
</tr>
<tr>
<td align="left" valign="top">T4</td>
<td align="char" valign="top" char=".">36&#x2009;&#x00B1;&#x2009;8</td>
<td align="char" valign="top" char=".">0.025&#x2009;&#x00B1;&#x2009;0.005</td>
<td align="char" valign="top" char=".">124&#x2009;&#x00B1;&#x2009;17</td>
<td align="char" valign="top" char=".">3.3&#x2009;&#x00B1;&#x2009;1.2</td>
</tr>
<tr>
<td align="left" valign="top">T24</td>
<td align="char" valign="top" char=".">32&#x2009;&#x00B1;&#x2009;9</td>
<td align="char" valign="top" char=".">0.033&#x2009;&#x00B1;&#x2009;0.004</td>
<td align="char" valign="top" char=".">131&#x2009;&#x00B1;&#x2009;19</td>
<td align="char" valign="top" char=".">2.8&#x2009;&#x00B1;&#x2009;1.0</td>
</tr>
<tr>
<td align="left" valign="top" rowspan="3">S2</td>
<td align="left" valign="top">T0</td>
<td align="char" valign="top" char=".">5.8&#x2009;&#x00B1;&#x2009;0.8</td>
<td align="char" valign="top" char=".">&#x2013;</td>
<td align="char" valign="top" char=".">248&#x2009;&#x00B1;&#x2009;8</td>
<td align="char" valign="top" char=".">&#x2013;</td>
</tr>
<tr>
<td align="left" valign="top">T4</td>
<td align="char" valign="top" char=".">59&#x2009;&#x00B1;&#x2009;11</td>
<td align="char" valign="top" char=".">0.007&#x2009;&#x00B1;&#x2009;0.001</td>
<td align="char" valign="top" char=".">221&#x2009;&#x00B1;&#x2009;16</td>
<td align="char" valign="top" char=".">2.0&#x2009;&#x00B1;&#x2009;0.4</td>
</tr>
<tr>
<td align="left" valign="top">T24</td>
<td align="char" valign="top" char=".">50&#x2009;&#x00B1;&#x2009;10</td>
<td align="char" valign="top" char=".">0.007&#x2009;&#x00B1;&#x2009;0.001</td>
<td align="char" valign="top" char=".">246&#x2009;&#x00B1;&#x2009;18</td>
<td align="char" valign="top" char=".">1.7&#x2009;&#x00B1;&#x2009;0.3</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>Shown are mean values&#x2009;&#x00B1;&#x2009;SD of <italic>n</italic>&#x2009;=&#x2009;4 replicates (<italic>n</italic>&#x2009;=&#x2009;3 for T4 and T24 at S2 due to spillover of labeled nutrient solution between two rows).</p>
</table-wrap-foot>
</table-wrap>
<fig position="float" id="fig2">
<label>Figure 2</label>
<caption><p>NO<sub>3</sub><sup>&#x2212;</sup>-derived N<sub>2</sub>O fluxes <bold>(A,B)</bold>, NH<sub>4</sub><sup>+</sup>-derived N<sub>2</sub>O fluxes <bold>(C,D)</bold>, and the estimated share of NO<sub>3</sub><sup>&#x2212;</sup>-derived N<sub>2</sub>O fluxes [f<sub>PN2O</sub>; <bold>(E,F)</bold>]. Bars show the mean of <italic>n</italic>&#x2009;=&#x2009;4 replicates and error bars the corresponding SD. Small letters indicate levels of significance for differences between label and sampling with <italic>p</italic>&#x2009;&#x003C;&#x2009;0.05 from linear mixed-effects models and Tukey <italic>post-hoc</italic> tests.</p></caption>
<graphic xlink:href="fmicb-13-1080847-g002.tif"/>
</fig>
</sec>
<sec id="sec12">
<label>3.2.</label>
<title>Recovery of <sup>15</sup>N tracer in different pools</title>
<p>The natural abundance &#x03B4;<sup>15</sup>N values from both samplings were equal (leaves) or slightly lower (NH<sub>4</sub><sup>+</sup>, NO<sub>3</sub><sup>&#x2212;</sup> and N<sub>2</sub>O) at the second sampling, indicating that no carryover of <sup>15</sup>N label occurred from the first sampling. The amount of <sup>15</sup>N tracer from the <sup>15</sup>N-enriched NH<sub>4</sub>NO<sub>3</sub> added during the labelings that was recovered in different pools (dissolved NH<sub>4</sub><sup>+</sup> and NO<sub>3</sub><sup>&#x2212;</sup>, N<sub>2</sub>O, plant biomass) was calculated as excess <sup>15</sup>N (<sup>15</sup>N<sub>exc</sub>). At both samplings, most of the <sup>15</sup>N label remained in its original form after 24&#x2009;h, i.e., as dissolved NH<sub>4</sub><sup>+</sup> and NO<sub>3</sub><sup>&#x2212;</sup> (<xref rid="tab4" ref-type="table">Table 4</xref>). There was a notable increase of <sup>15</sup>N<sub>exc</sub> of dissolved NO<sub>3</sub><sup>&#x2212;</sup> in the <sup>15</sup>NH<sub>4</sub><sup>+</sup>-labeled units, indicating the conversion of NH<sub>4</sub><sup>+</sup> to NO<sub>3</sub><sup>&#x2212;</sup> by Ni (up to 2% of added label during sampling 1). On the other side, the <sup>15</sup>N<sub>exc</sub> of dissolved NH<sub>4</sub><sup>+</sup> in the <sup>15</sup>NO<sub>3</sub><sup>&#x2212;</sup>-labeled units was comparably low (at maximum 0.3% of added label during sampling 1). The <sup>15</sup>N<sub>exc</sub> of N<sub>2</sub>O strongly differed between the two samplings, with up to 20 times higher values at sampling 1, reflecting the APE values of N<sub>2</sub>O (<xref rid="SM1" ref-type="supplementary-material">Supplementary Figure S7</xref>). Despite the higher dilution of <sup>15</sup>N tracer in the NO<sub>3</sub><sup>&#x2212;</sup> pool (<xref rid="tab3" ref-type="table">Table 3</xref>) and the resulting lower <sup>15</sup>N enrichments in the <sup>15</sup>NO<sub>3</sub><sup>&#x2212;</sup>-labeled units compared to <sup>15</sup>NH<sub>4</sub><sup>+</sup>-labeled units (<xref rid="SM1" ref-type="supplementary-material">Supplementary Figure S6</xref>), there were no significant differences between the label types regarding the amount of <sup>15</sup>N tracer found in N<sub>2</sub>O, as shown by the <sup>15</sup>N<sub>exc</sub> values (<xref rid="tab4" ref-type="table">Table 4</xref>). In all cases, the <sup>15</sup>N<sub>exc</sub> of total plant biomass was higher than the <sup>15</sup>N<sub>exc</sub> of N<sub>2</sub>O. The highest plant <sup>15</sup>N uptake was observed during the second sampling in <sup>15</sup>NH<sub>4</sub><sup>+</sup>-labeled units. Irrespective of the generally higher <sup>15</sup>N-enrichment of roots (<xref rid="SM1" ref-type="supplementary-material">Supplementary Table S2</xref>), most <sup>15</sup>N tracer was found in shoots (i.e., the sum of stem leaf biomass; <xref rid="tab4" ref-type="table">Table 4</xref>), as a consequence of the biomass difference (root to shoot ratio of 0.23). Only marginal amounts of <sup>15</sup>N tracer were found in tomato fruits during sampling 2. Overall, the majority of <sup>15</sup>N added during labelings was recovered in the studied pools, with the calculated <sup>15</sup>N recovery rates varying around 100%.</p>
<table-wrap position="float" id="tab4">
<label>Table 4</label>
<caption><p>Excess <sup>15</sup>N (<sup>15</sup>N<sub>exc</sub>) found in different pools 24&#x2009;h after labeling with <sup>15</sup>NH<sub>4</sub><sup>+</sup> and <sup>15</sup>NO<sub>3</sub><sup>&#x2212;</sup>, total recovered <sup>15</sup>N and recovery rate of <sup>15</sup>N tracer from the labeling.</p></caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top" rowspan="2">Parameter</th>
<th align="center" valign="top" colspan="2">Sampling 1</th>
<th align="center" valign="top" colspan="2">Sampling 2</th>
<th align="center" valign="top" rowspan="2">Unit</th>
</tr>
<tr>
<th align="center" valign="top"><sup>15</sup>NH<sub>4</sub><sup>+</sup> label</th>
<th align="center" valign="top"><sup>15</sup>NO<sub>3</sub><sup>&#x2212;</sup> label</th>
<th align="center" valign="top"><sup>15</sup>NH<sub>4</sub><sup>+</sup> label</th>
<th align="center" valign="top"><sup>15</sup>NO<sub>3</sub><sup>&#x2212;</sup> label</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top"><sup>15</sup>N in NH<sub>4</sub><sup>+</sup></td>
<td align="char" valign="top" char=".">96&#x2009;&#x00B1;&#x2009;2</td>
<td align="char" valign="top" char=".">0.33&#x2009;&#x00B1;&#x2009;0.03</td>
<td align="char" valign="top" char=".">94&#x2009;&#x00B1;&#x2009;13&#x002A;</td>
<td align="char" valign="top" char=".">0.09&#x2009;&#x00B1;&#x2009;0.01&#x002A;</td>
<td align="center" valign="top" rowspan="8">mg <sup>15</sup>N unit<sup>&#x2212;1</sup></td>
</tr>
<tr>
<td align="left" valign="top"><sup>15</sup>N in NO<sub>3</sub><sup>&#x2212;</sup></td>
<td align="char" valign="top" char=".">2.1&#x2009;&#x00B1;&#x2009;0.6</td>
<td align="char" valign="top" char=".">112&#x2009;&#x00B1;&#x2009;5.42</td>
<td align="char" valign="top" char=".">0.54&#x2009;&#x00B1;&#x2009;0.34&#x002A;</td>
<td align="char" valign="top" char=".">107&#x2009;&#x00B1;&#x2009;5&#x002A;</td>
</tr>
<tr>
<td align="left" valign="top"><sup>15</sup>N in N<sub>2</sub>O</td>
<td align="char" valign="top" char=".">5.0&#x2009;&#x00B1;&#x2009;0.8<sup>b</sup></td>
<td align="char" valign="top" char=".">4.4&#x2009;&#x00B1;&#x2009;2.0<sup>b</sup></td>
<td align="char" valign="top" char=".">0.22&#x2009;&#x00B1;&#x2009;0.17<sup>a</sup></td>
<td align="char" valign="top" char=".">0.33&#x2009;&#x00B1;&#x2009;0.17<sup>a</sup></td>
</tr>
<tr>
<td align="left" valign="top"><sup>15</sup>N in shoots</td>
<td align="char" valign="top" char=".">5.6&#x2009;&#x00B1;&#x2009;4.4<sup>a</sup></td>
<td align="char" valign="top" char=".">6.4&#x2009;&#x00B1;&#x2009;1.9<sup>ab</sup></td>
<td align="char" valign="top" char=".">18&#x2009;&#x00B1;&#x2009;13<sup>b</sup></td>
<td align="char" valign="top" char=".">3.6&#x2009;&#x00B1;&#x2009;0.9<sup>a</sup></td>
</tr>
<tr>
<td align="left" valign="top"><sup>15</sup>N in roots</td>
<td align="char" valign="top" char=".">3.9&#x2009;&#x00B1;&#x2009;1.7<sup>b</sup></td>
<td align="char" valign="top" char=".">1.3&#x2009;&#x00B1;&#x2009;0.4<sup>a</sup></td>
<td align="char" valign="top" char=".">8.1&#x2009;&#x00B1;&#x2009;2.1<sup>c</sup></td>
<td align="char" valign="top" char=".">1.9&#x2009;&#x00B1;&#x2009;0.7<sup>ab</sup></td>
</tr>
<tr>
<td align="left" valign="top"><sup>15</sup>N in fruits</td>
<td align="char" valign="top" char=".">&#x2013;</td>
<td align="char" valign="top" char=".">&#x2013;</td>
<td align="char" valign="top" char=".">0.79&#x2009;&#x00B1;&#x2009;0.45</td>
<td align="char" valign="top" char=".">BDL</td>
</tr>
<tr>
<td align="left" valign="top">Total plant <sup>15</sup>N</td>
<td align="char" valign="top" char=".">9.5&#x2009;&#x00B1;&#x2009;5.4<sup>a</sup></td>
<td align="char" valign="top" char=".">7.6&#x2009;&#x00B1;&#x2009;2.0<sup>a</sup></td>
<td align="char" valign="top" char=".">26&#x2009;&#x00B1;&#x2009;15<sup>b</sup></td>
<td align="char" valign="top" char=".">5.5&#x2009;&#x00B1;&#x2009;0.9<sup>a</sup></td>
</tr>
<tr>
<td align="left" valign="top">Total recovered <sup>15</sup>N</td>
<td align="char" valign="top" char=".">112&#x2009;&#x00B1;&#x2009;5</td>
<td align="char" valign="top" char=".">124&#x2009;&#x00B1;&#x2009;4</td>
<td align="char" valign="top" char=".">120&#x2009;&#x00B1;&#x2009;16</td>
<td align="char" valign="top" char=".">111&#x2009;&#x00B1;&#x2009;6</td>
</tr>
<tr>
<td align="left" valign="top"><sup>15</sup>N recovery rate</td>
<td align="char" valign="top" char=".">98&#x2009;&#x00B1;&#x2009;4</td>
<td align="char" valign="top" char=".">103&#x2009;&#x00B1;&#x2009;3</td>
<td align="char" valign="top" char=".">105&#x2009;&#x00B1;&#x2009;14</td>
<td align="char" valign="top" char=".">93&#x2009;&#x00B1;&#x2009;5</td>
<td/>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>&#x002A;Only <italic>n</italic>&#x2009;=&#x2009;3 replicates due to spillover of nutrient solution between two hydroponic units. <sup>a&#x2013;c</sup>Small letters indicate significant differences (<italic>p</italic>&#x2009;&#x003C;&#x2009;0.05) between labeling and added <sup>15</sup>N tracer for all parameters except dissolved NH<sub>4</sub><sup>+</sup> and NO<sub>3</sub><sup>&#x2212;</sup> (<sup>15</sup>N source from labeling). BDL, below detection limit. Presented are mean values&#x2009;&#x00B1;&#x2009;SD of <italic>n</italic>&#x2009;=&#x2009;4 replicates.</p>
</table-wrap-foot>
</table-wrap>
</sec>
</sec>
<sec id="sec13" sec-type="discussions">
<label>4.</label>
<title>Discussion</title>
<p>In this study, we applied the N<sub>2</sub>O isotopocule and <sup>15</sup>N tracing approaches to better understand the sources of N<sub>2</sub>O emission from hydroponic vegetable production systems, using tomato cultivation on rock wool substrate as a model. Furthermore, in our study, we determined r<sub>N2O</sub> using the isotopocule mapping method (<xref ref-type="bibr" rid="ref32">Lewicka-Szczebak et al., 2017</xref>), which had been shown to be in good agreement with the <sup>15</sup>N gas flux method (<xref ref-type="bibr" rid="ref6">Buchen et al., 2018</xref>; <xref ref-type="bibr" rid="ref34">Lewicka-Szczebak et al., 2020</xref>). Therefore, for hydroponic systems, we determined this ratio for the first using an appropriate method.</p>
<p>As we hypothesized, the results from both N<sub>2</sub>O isotope analyses (non-labeled and <sup>15</sup>N-labeled) point to bD as main source of N<sub>2</sub>O emissions from the hydroponic units. The scattering of the values around the reduction line of bD in the mapping approach of the N<sub>2</sub>O isotopocules (<xref rid="fig1" ref-type="fig">Figure 1</xref>) suggests that most of the N<sub>2</sub>O was produced by bD. Unfortunately, nD cannot be clearly separated from bD by the N<sub>2</sub>O isotopocule mapping approach (<xref ref-type="bibr" rid="ref32">Lewicka-Szczebak et al., 2017</xref>), due to the overlap of endmember values (i.e., theoretical values determined from literature values of pure cultures and the isotopic composition of water and N substrates). Thus, the calculated f<sub>bD</sub> could actually be a mixture of bD and nD. The same is true for the fraction of Ni in N<sub>2</sub>O emission (f<sub>Ni</sub>), which cannot be clearly separated from the fraction of fD (f<sub>fD</sub>) in the mapping approach. However, a mixed fraction (f<sub>Ni/fD</sub>&#x2009;=&#x2009;1 &#x2013; f<sub>bD</sub>) can be calculated, as previously done by <xref ref-type="bibr" rid="ref6">Buchen et al. (2018)</xref>. Depending on the mapping scenario and sampling campaign, the f<sub>Ni/fD</sub> values vary between 0.10 and 0.15 in our study. In consequence, the contribution of fD and/or Ni seems small under typical tomato growing conditions in rock wool hydroponics with low NH<sub>4</sub><sup>+</sup> supply. For better distinction of bD, we used the <sup>15</sup>N tracing approach to determine the fraction of NO<sub>3</sub><sup>&#x2212;</sup>-derived N<sub>2</sub>O fluxes, i.e., f<sub>PN2O</sub>. While f<sub>PN2O</sub> can principally also include contributions from fD, we assume its impact was minor as shown by the isotopocule map (<xref rid="fig2" ref-type="fig">Figure 2</xref>). Therefore we assume f<sub>PN2O</sub> is equivalent to f<sub>bD</sub> from the isotopocule mapping approach but does not include N<sub>2</sub>O fluxes from nD. Although the f<sub>PN2O</sub> values are relatively variable (<xref rid="fig2" ref-type="fig">Figures 2E</xref>,<xref rid="fig2" ref-type="fig">F</xref>), they generally show that bD was the main source of N<sub>2</sub>O emissions, even under increased NH<sub>4</sub><sup>+</sup> supply. Hence the results from N<sub>2</sub>O isotope analysis and <sup>15</sup>N tracing were in good accordance with each other. On the other hand, the results from the <sup>15</sup>N-labeling also show that a large part of N<sub>2</sub>O can be formed from NH<sub>4</sub><sup>+</sup> (<xref rid="fig2" ref-type="fig">Figures 2C</xref>,<xref rid="fig2" ref-type="fig">D</xref>), suggesting processes other than denitrification of added NO<sub>3</sub><sup>&#x2212;</sup> (<xref ref-type="bibr" rid="ref21">Firestone and Davidson, 1989</xref>). Possibly, the increase of the NH<sub>4</sub><sup>+</sup> concentration in the nutrient solution used for <sup>15</sup>N-labeling compared to the non-labeled nutrient solution could have increased Ni and the associated N<sub>2</sub>O formation from NH<sub>4</sub><sup>+</sup>. This is supported by the slight <sup>15</sup>N-enrichment of NO<sub>3</sub><sup>&#x2212;</sup> found in units labeled with <sup>15</sup>NH<sub>4</sub><sup>+</sup> (<xref rid="tab4" ref-type="table">Table 4</xref>), indicating the presence of Ni. Notably, the average f<sub>bD</sub> values of ~0.87 from N<sub>2</sub>O isotopocule analysis (<xref rid="tab2" ref-type="table">Table 2</xref>) were higher than the average f<sub>PN2O</sub> values of ~0.68 from <sup>15</sup>N tracing (<xref rid="fig2" ref-type="fig">Figure 2</xref>). Assuming that microbial activities did no significantly change after adding the NH<sub>4</sub><sup>+</sup>-rich <sup>15</sup>N label, we hypothesize that the observed difference in f<sub>bD</sub> and f<sub>PN2O</sub> values is due to microbial processes other than Ni that are associated with the release of N<sub>2</sub>O from NH<sub>4</sub><sup>+</sup>.</p>
<p>Besides the conversion of hydroxyl amine (NH<sub>2</sub>OH) to N<sub>2</sub>O during Ni, there are several known pathways that explain the production of N<sub>2</sub>O derived from NH<sub>4</sub><sup>+</sup>, in particular nD and cND (<xref ref-type="bibr" rid="ref1">Baggs, 2011</xref>). <xref ref-type="bibr" rid="ref67">Wrage-M&#x00F6;nnig et al. (2018)</xref> argue in their review that nD can be the predominant source of N<sub>2</sub>O emissions under certain conditions. For example, this includes &#x201C;environments with fluctuating aerobic-anaerobic conditions&#x201D;, which are likely to occur in hydroponic systems with regular irrigation intervals (<xref ref-type="bibr" rid="ref52">Schr&#x00F6;der and Lieth, 2002</xref>). In contrast, <xref ref-type="bibr" rid="ref2">Bakken and Frostegard (2017)</xref> fundamentally disagree with the concept of nD, based on the preferential electron flow in nitrifiers, and rather suggest that it is cND that accounts for the observations after all. In this sense, the O<sub>2</sub> consumption by Ni could lead to anoxic conditions facilitating bD (<xref ref-type="bibr" rid="ref73">Zhu et al., 2015</xref>). Additionally, a process that also needs to be taken into account is co-denitrification (coD), i.e., the formation of hybrid N<sub>2</sub>O and N<sub>2</sub> molecules with each one N atom derived from the classical denitrification pathway (N species: nitrite, NO<sub>2</sub><sup>&#x2212;</sup>; nitric oxide, NO) and one N atom from another N species such as NH<sub>2</sub>OH or amino compounds (<xref ref-type="bibr" rid="ref57">Spott et al., 2011</xref>). In our study, coD may have been stimulated by the increased NH<sub>4</sub><sup>+</sup> availability after adding the nutrient solutions for <sup>15</sup>N labeling. This is supported by the lower ap<sub>N2O</sub> values compared to the <sup>15</sup>aNO<sub>3</sub><sup>&#x2212;</sup> values found in <sup>15</sup>NO<sub>3</sub><sup>&#x2212;</sup>-labeled units (<xref rid="SM1" ref-type="supplementary-material">Supplementary Figures S6A,B,E,F</xref>; <xref ref-type="bibr" rid="ref58">Spott and Stange, 2007</xref>), suggesting that part of the emitted N<sub>2</sub>O was derived from non-labeled NH<sub>4</sub><sup>+</sup>. Albeit the use of NH<sub>4</sub><sup>+</sup> in coD was found quite rarely and organic N sources are thus perceived as the main source for forming hybrid N<sub>2</sub>O/N<sub>2</sub> molecules with NO<sub>2</sub><sup>&#x2212;</sup>-N or NO-N (<xref ref-type="bibr" rid="ref57">Spott et al., 2011</xref>). Therefore, the combined fraction of nD and cND (f<sub>nD/cND</sub>) can be estimated from f<sub>PN2O</sub> and f<sub>bD</sub> as described by <xref ref-type="bibr" rid="ref17">Deppe et al. (2017)</xref>, i.e., by calculating the difference of f<sub>bD</sub> and f<sub>PN2O</sub> (f<sub>nD/cND</sub>&#x2009;=&#x2009;f<sub>bD</sub> &#x2013; f<sub>PN2O</sub>). Depending on the scenario for f<sub>bD</sub>, the values of f<sub>nD/cND</sub> vary between 0.40&#x2013;0.48 at T4 and 0.09&#x2013;0.24 at T24 for the <sup>15</sup>NO<sub>3</sub><sup>&#x2212;</sup>-labeled units during both sampling campaigns. For the <sup>15</sup>NH<sub>4</sub><sup>+</sup>-labeled units, this comparison seems not appropriate because the estimated f<sub>PN2O</sub> values were partially higher than f<sub>bD</sub> values. This is probably due to the assumption used in <xref ref-type="disp-formula" rid="EQ3">Eq. 3</xref>, i.e., that the labeled pool (<sup>15</sup>NO<sub>3</sub><sup>&#x2212;</sup> and <sup>15</sup>NH<sub>4</sub><sup>+</sup>) is the same as the active pool. In contrast, the f<sub>PN2O</sub> values of <sup>15</sup>NO<sub>3</sub><sup>&#x2212;</sup>-labeled units were determined <italic>via</italic> the non-random distribution of N<sub>2</sub>O isotopologues and delivered the fraction of the active labeled pool used for N<sub>2</sub>O production, which is not necessarily identical to the bulk NO<sub>3</sub><sup>&#x2212;</sup> pool (<xref ref-type="bibr" rid="ref17">Deppe et al., 2017</xref>; <xref ref-type="bibr" rid="ref72">Zaman et al., 2021</xref>).</p>
<p>Notably, measured N<sub>2</sub>O emissions from the experimental units we used were low compared to previous studies of hydroponic systems (<xref ref-type="bibr" rid="ref11">Daum and Schenk, 1996a</xref>; <xref ref-type="bibr" rid="ref27">Hashida et al., 2014</xref>; <xref ref-type="bibr" rid="ref29">Karlowsky et al., 2021</xref>), which reported emission rates that were one to two orders of magnitude higher. The low N<sub>2</sub>O emission rates could have been a result of unfavorable conditions for denitrifier activity, such as low organic carbon contents and/or high oxygen availability in the substrate (<xref ref-type="bibr" rid="ref43">Morley and Baggs, 2010</xref>). The accumulation of organic carbon due to root exudation and root decay might be key to N<sub>2</sub>O emissions from inert substrates like rock wool, as we found in a previous study a steep increase of N<sub>2</sub>O emission rates after 5 months of tomato cultivation following a phase of low N<sub>2</sub>O emission rates (<xref ref-type="bibr" rid="ref29">Karlowsky et al., 2021</xref>). In this study, we found an increase of DOC in the re-circulating nutrient solution from sampling 1 to sampling 2, but this was not related to higher N<sub>2</sub>O emissions. Here, the slightly acidic conditions (pH values &#x003C;4.6; <xref rid="SM1" ref-type="supplementary-material">Supplementary Figure S2</xref>) during sampling 2 may have limited denitrification, considering that N emissions from denitrification typically decrease at low pH values (<xref ref-type="bibr" rid="ref14">Daum and Schenk, 1998</xref>; <xref ref-type="bibr" rid="ref19">Farquharson and Baldock, 2007</xref>), which is also associated with a higher r<sub>N2O</sub> value (e.g., <xref ref-type="bibr" rid="ref38">Liu et al., 2010</xref>), but this was only visible in trend (<xref rid="tab2" ref-type="table">Table 2</xref>). In general, N<sub>2</sub>O fluxes were highly variable (<xref rid="tab1" ref-type="table">Table 1</xref>), with a trend to higher emissions from planted rock wool slabs compared to unplanted rock wool slabs, especially during sampling 1. Thus, our findings indicate that considerable N<sub>2</sub>O emissions may also occur from re-circulated nutrient solution, e.g., in collection and storage tanks or bio-filtration/disinfection units. Although it is unclear to which extent the rock wool matrix with its high pore space volumes (<xref ref-type="bibr" rid="ref10">Dannehl et al., 2015</xref>) and a large surface area for microbial biofilms (<xref ref-type="bibr" rid="ref5">Brand and Wohanka, 2001</xref>) might have promoted N<sub>2</sub>O emissions from the re-circulated nutrient solution.</p>
<p>In addition to the above-discussed findings, we performed a <sup>15</sup>N mass balance to check the plausibility of r<sub>N2O</sub> and the calculated N<sub>2</sub>O and N<sub>2</sub> emissions from the mapping approach, and to gain more insights into N dynamics in the hydroponic units. Unfortunately, the proportion of applied <sup>15</sup>N label recovered as N<sub>2</sub>O strongly varied between the two samplings, which can be attributed to temporal fluctuations resulting in a peak of N<sub>2</sub>O emission rates at 24&#x2009;h after labeling during sampling 1. This peak probably led to an overestimation of cumulative N<sub>2</sub>O fluxes, especially considering that N<sub>2</sub>O emission rates are typically lower during nighttime when no fertigation is done (<xref ref-type="bibr" rid="ref14">Daum and Schenk, 1998</xref>; <xref ref-type="bibr" rid="ref70">Yoshihara et al., 2016</xref>; <xref ref-type="bibr" rid="ref29">Karlowsky et al., 2021</xref>). Due to highly variable and generally very moderate N<sub>2</sub>O emissions as well as the high variability of <sup>15</sup>N excess in plant material, the <sup>15</sup>N mass balance in our case proved to be too uncertain to validate the calculated gas fluxes from the isotopocule mapping approach. In general, the results of the <sup>15</sup>N mass balance reflect the findings from the <sup>15</sup>N tracing approach and show in addition that the majority of <sup>15</sup>N tracer applied to the hydroponic units was recovered in the nutrient solution, plant biomass, and N<sub>2</sub>O emissions after 24&#x2009;h. However, since only short-term N dynamics are included in the <sup>15</sup>N mass balance, N use efficiency cannot be calculated with these data.</p>
</sec>
<sec id="sec14" sec-type="conclusions">
<label>5.</label>
<title>Conclusion</title>
<p>The findings of our study clearly show that bD was the major source of N<sub>2</sub>O emissions from hydroponic tomato cultivation on rock wool substrate, and that up to 90% of initially produced N<sub>2</sub>O was reduced to N<sub>2</sub> before gas emission. The combined results of N<sub>2</sub>O isotopocule analysis and <sup>15</sup>N tracing suggest that other microbial processes related to N<sub>2</sub>O formation from NH<sub>4</sub><sup>+</sup> (i.e., Ni, nD, and cND) play only a moderate role. However, with the methods used, it was not possible to determine the individual contribution of each of these processes to the observed N<sub>2</sub>O emissions. Furthermore, the involvement of fD and coD remains unclear, but seems less likely since organic matter is supplied only by plant roots in the rock wool substrate. Therefore, future studies are needed to better distinguish N<sub>2</sub>O sources other than bD, possibly combing isotopic approaches with molecular genetic methods such as functional gene analysis. As we also found N<sub>2</sub>O emissions from root-less rock wool substrate, potential N<sub>2</sub>O emissions from drained nutrient solution should be further researched. Ultimately, on the basis of our study, measures to reduce denitrifier activity appear to be the most promising option to mitigate N<sub>2</sub>O emissions and N losses from hydroponic cultivation.</p>
</sec>
<sec id="sec15" sec-type="data-availability">
<title>Data availability statement</title>
<p>The raw data supporting the conclusions of this article will be made available by the authors, without undue reservation.</p>
</sec>
<sec id="sec16">
<title>Author contributions</title>
<p>SK: conceptualization, investigation, formal analysis, and writing&#x2014;original draft. CB-T: investigation, formal analysis, and writing&#x2014;original draft. LO: investigation and formal analysis. DS: conceptualization and methodology. RW: methodology and writing&#x2014;review and editing. All authors contributed to the article and approved the submitted and revised version.</p>
</sec>
<sec id="sec17" sec-type="funding-information">
<title>Funding</title>
<p>This project is supported by the Federal Ministry of Food and Agriculture (BMEL) based on the decision of the Parliament of the Federal Republic of Germany <italic>via</italic> the Federal Office for Agriculture and Food (BLE) under the innovation support program (funding code 281B204116 for project &#x201C;HydroN2O&#x201D;).</p>
</sec>
<sec id="conf1" sec-type="COI-statement">
<title>Conflict of interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec id="sec100" sec-type="disclaimer">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
</body>
<back>
<ack>
<p>We thank Gundula Aust and the gardener team at IGZ for setting up and maintaining the experiment in the greenhouse. Martina Heuer, Jennifer Gier und Ute Rie&#x00DF; at Th&#x00FC;nen Institute for help during isotopic analyses. Jens Dyckmanns and his team at G&#x00F6;ttingen University for SPIN-MIRMS analysis.</p>
</ack>
<sec id="sec19" sec-type="supplementary-material">
<title>Supplementary material</title>
<p>The Supplementary material for this article can be found online at: <ext-link xlink:href="https://www.frontiersin.org/articles/10.3389/fmicb.2022.1080847/full#supplementary-material" ext-link-type="uri">https://www.frontiersin.org/articles/10.3389/fmicb.2022.1080847/full#supplementary-material</ext-link></p>
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