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			<titleStmt><title level='a'>Precipitation and nitrogen application stimulate soil nitrous oxide emission</title></titleStmt>
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				<publisher></publisher>
				<date>07/01/2021</date>
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				<bibl> 
					<idno type="par_id">10295368</idno>
					<idno type="doi">10.1007/s10705-021-10155-4</idno>
					<title level='j'>Nutrient Cycling in Agroecosystems</title>
<idno>1385-1314</idno>
<biblScope unit="volume">120</biblScope>
<biblScope unit="issue">3</biblScope>					

					<author>Huiling Zhang</author><author>Qi Deng</author><author>Christopher W. Schadt</author><author>Melanie A. Mayes</author><author>Deqiang Zhang</author><author>Dafeng Hui</author>
				</bibl>
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			<abstract><ab><![CDATA[Precipitation and nitrogen (N) fertilization are the two most important drivers for soil nitrous oxide (N 2 O) emission. However, the effects of changes in N fertilization and precipitation patterns (i.e., precipitation intensity and frequency) on N 2 O emissions in agricultural fields are still unclear. In this study, we simulated soil N 2 O emission under different precipitation patterns (6 precipitation intensities, and 12 precipitation frequencies by either merging or splitting precipitation events) and N fertilization rates (low, typical, and high N fertilization) in a cornfield using the DeNitrification-DeComposition model. The model was parameterized and validated using meteorological data and N experimental measurements in Nashville, Tennessee, USA. Results showed that soil water filled pore space (WFPS) and simulated soil N 2 O emission increased as precipitation intensity increased. Less frequent but high intensity precipitation treatments reduced the soil WFPS by 25.2% and stimulated soil N 2 O emission by 45.3%, while more frequent but low intensity precipitation treatments increased soil WFPS by 9.0% and reduced soil N 2 O emission by 23.9%. Compared to typical N fertilization, the sensitivity of soil N 2 O emission to precipitation was higher under high N than low N fertilization treatments, and the response ratios were 50.0% and 40.1%, respectively. There was significant interactive effect of precipitation intensity and N fertilization on soil N 2 O emission. These findings improved our understanding of precipitation and N impacts on soil N 2 O emissions and provided useful knowledge for irrigation and N fertilizer management in agriculture to mitigate greenhouse gas emissions.]]></ab></abstract>
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<div xmlns="http://www.tei-c.org/ns/1.0"><head>Introduction</head><p>Nitrous oxide (N 2 O) is a potent greenhouse gas due to its long residence time in the atmosphere and its strong propensity to deplete ozone. The concentration of atmospheric N 2 O was 330.7 ppb in 2018 and is increasing at a rate of 0.81 ppb per year <ref type="bibr">(NOAA 2018;</ref><ref type="bibr">Tian et al. 2020)</ref>. Although the atmospheric N 2 O concentration is much lower than carbon dioxide (CO 2 ), its global warming potential is 296 times that of CO 2 <ref type="bibr">(Dalal et al. 2003)</ref>. Thus, a small difference in estimated N 2 O emissions can considerably influence the warming potential of the atmosphere. Controlling factors, particularly precipitation and nitrogen (N) fertilization, are the two key drivers for soil N 2 O emissions <ref type="bibr">(Dobbie and Smith 2003;</ref><ref type="bibr">Huang et al. 2014;</ref><ref type="bibr">Deng et al. 2016</ref>). As a result, projected climate change and anthropogenic activities will influence soil N 2 O emission and very likely positively alter global N cycling.</p><p>Soil moisture strongly influences N turnover, transference, and emission of soil N 2 O <ref type="bibr">(Bollmann and Conrad 1998)</ref>. There is growing evidence that the global warming has significantly altered the global hydrologic cycle at local, regional, and global scales <ref type="bibr">(Borken and Matzner 2009;</ref><ref type="bibr">Reichstein et al. 2013)</ref>. The intensity and frequency of precipitation have changed compared to historic climatic norms and include more extreme events with higher precipitation rates and longer duration droughts-trends that are expected to continue into the future <ref type="bibr">(Knutson and Tuleya 2004;</ref><ref type="bibr">IPCC 2014;</ref><ref type="bibr">Knapp et al. 2015)</ref>. For example, a model based on CMIP5 ensemble showed that the Northern Hemisphere will have more wet extremes and drought will also intensify in the north and central America <ref type="bibr">(Zhan et al. 2020)</ref>. Previous studies showed that N 2 O emission increased with increased precipitation, but most studies focused on the quantity of precipitation instead of precipitation patterns <ref type="bibr">(Wu et al. 2011;</ref><ref type="bibr">Li et al. 2019a)</ref>. How precipitation patterns involving both intensity and frequency affect soil N 2 O emission is still not clear.</p><p>Croplands are considered hot spots of soil N 2 O emission <ref type="bibr">(Wolf and Russow 2000;</ref><ref type="bibr">Reay et al. 2012;</ref><ref type="bibr">Tian et al. 2016;</ref><ref type="bibr">Deng et al. 2019)</ref>. A modeling synthesis reported that terrestrial CO 2 uptake is largely offset by CH 4 and N 2 O emission <ref type="bibr">(Tian et al. 2016</ref>). However, the study notes that the estimation of soil N 2 O emission in croplands remains uncertain. The United States is the world's largest corn producer, with 38% of its corn crop exported to other counties in <ref type="bibr">2018</ref><ref type="bibr">-2019</ref><ref type="bibr">(NCGA 2019))</ref>. In addition to its large US area, corn has among the highest mean fertilizer rates thus pointing to its potential for high N 2 O emissions and opportunity for mitigation. Although N fertilization increases the availability of soil N and crop yield, recovery of N in crop plants is usually less than 50% worldwide <ref type="bibr">(Fageria and Baligar 2005)</ref>. A metaanalysis showed soil N 2 O emission exhibited a significant positive response to N enrichment in global croplands (? 105.6%) <ref type="bibr">(Deng et al. 2019)</ref>. Up to 20-30% of global greenhouse gas emissions may be due to N fertilization <ref type="bibr">(Reay et al. 2012;</ref><ref type="bibr">Tian et al. 2016)</ref>.</p><p>The effects of climate change and N application on soil N 2 O emission have been investigated in many field experiments <ref type="bibr">(Zou et al. 2005;</ref><ref type="bibr">Ni et al. 2019)</ref>. For example, soil N 2 O emissions in a Chinese maize field were reduced under deficit irrigation combined with reduced N-fertilizer rate treatment <ref type="bibr">(Ning et al. 2019;</ref><ref type="bibr">Tian et al. 2017)</ref>. For the wheat-maize rotation system, an improved management practice of water and fertilizer that via changed the fertilization rate, times and timing has the potential to reduce N 2 O and emissions <ref type="bibr">(Liu et al. 2011)</ref>. A study in California grassland showed greater soil moisture corresponded to a much higher emission rate in N addition plots <ref type="bibr">(Aronson et al. 2019)</ref>. These results indicate that responses of soil N 2 O emission could depend on the combinations of soil water availability and N fertilization. However, it is difficult or even impossible to manipulate multiple experimental factors or set many treatment levels for each experimental factor in field experiments <ref type="bibr">(Beier et al. 2012;</ref><ref type="bibr">Li et al. 2019b;</ref><ref type="bibr">Rillig et al. 2019)</ref>. Most field precipitation experiments only set a few levels of precipitation intensity or frequency. Biogeochemical or ecosystem models have been previously applied to overcome these shortcomings and to assess the effects of climate change or management practices on soil N 2 O emissions in agriculture <ref type="bibr">(Deng et al. 2016;</ref><ref type="bibr">Chen et al. 2019;</ref><ref type="bibr">Tian et al. 2020)</ref>. Based on field experimental results, models can be parameterized and validated to better 123 simulate the direction and magnitude of soil N 2 O emission response. With the help of models, a better understanding of soil N 2 O emissions resulting from precipitation or irrigation and N fertilization could help reduce N 2 O emissions.</p><p>The DeNitrification-DeComposition (DNDC) model was designed to simulate soil greenhouse gases emissions in terrestrial ecosystems <ref type="bibr">(Li et al. 1992a, b)</ref>. Many previous studies have demonstrated that the DNDC model can simulate the dynamics of soil N 2 O emission very well <ref type="bibr">(Li et al. 1992b;</ref><ref type="bibr">Giltrap et al. 2010;</ref><ref type="bibr">Zhang et al. 2016;</ref><ref type="bibr">Ingraham and Salas 2019)</ref>. For example, <ref type="bibr">Giltrap et al. (2010)</ref> showed that DNDC model is a useful tool for simulating soil N 2 O, CH 4 , and CO 2 emissions on a wide range of land-use and agricultural management. <ref type="bibr">Deng et al. (2016)</ref> parameterized the DNDC model based on a three-year field experiment in a cornfield in Nashville, TN, and simulated the effects of different agricultural practices on soil N 2 O emissions <ref type="bibr">(Deng et al. 2016)</ref>. Some studies also reported limitations of DNDC model when it was used to simulate daily N 2 O emission or to a specific time of emission <ref type="bibr">(Chen et al. 2019;</ref><ref type="bibr">Foltz et al. 2019;</ref><ref type="bibr">Yue et al. 2019)</ref>. <ref type="bibr">Yue et al. (2019)</ref> conducted model comparison of seasonal cumulative N 2 O emission across China's cropland and showed that the DNDC underestimated N 2 O emissions compared to other three models (DAYCENT, a linear regression model, and IPCC Tier 1 emission factors method). Although there are some limitations, a calibrated and validated DNDC model can reliably simulate soil N 2 O emission across a broad range environment conditions <ref type="bibr">(Taft et al. 2019)</ref>.</p><p>In this study, we extended these previous model simulations with different levels of precipitation pattern changes and N fertilization using the previously calibrated DNDC model <ref type="bibr">(Deng et al. 2016</ref>). This study builds on these previous studies <ref type="bibr">(Deng et al. 2015</ref><ref type="bibr">(Deng et al. , 2016) )</ref> and further tests how precipitation pattern changes (including 6 levels of intensity and 12 levels of frequency) and N fertilization (3 N levels) would interactively influence soil N 2 O emission in the cornfield. The major objectives of this study were:</p><p>(1) to assess the effects of precipitation intensity and frequency on soil N 2 O emission; <ref type="bibr">(2)</ref> to simulate the effects of N fertilization on soil N 2 O emission; and (3) to quantify the interactive effects of precipitation intensity and frequency, and N fertilization on soil N 2 O emission.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>Materials and methods</head></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>The DNDC model</head><p>We used the DNDC model (version 95; <ref type="url">http://www. dndc.sr.unh.edu</ref>) to simulate and evaluate soil N 2 O emissions from the cornfield. The DNDC model was originally developed to simulate soil greenhouse gases including soil N 2 O emissions from croplands <ref type="bibr">(Li et al. 1992a, b)</ref>. This model consists a suite of biogeochemical processes, including decomposition, fermentation, ammonia volatilization, nitrification, and denitrification, and allows computation of the complex transfer and transformations of N in agriculture lands <ref type="bibr">(Li et al. 1992a;</ref><ref type="bibr">Deng et al. 2018)</ref>. The model includes two major components. The first component, consisting of the soil climate, crop growth and decomposition sub-models, predicts soil temperature, moisture, pH, redox potential (Eh) and substrate concentration profiles driven by ecological drivers (e.g., climate, soil, vegetation, and anthropogenic activity). The second component, consisting of the nitrification, denitrification and fermentation sub-models, predicts emission of N 2 O, CO 2 , CH 4 , ammonia, nitric oxide, and dinitrogen from the plant-soil systems. Simulated soil N 2 O emissions are primarily regulated by soil environment variables, e.g., soil temperature and water-filled pore space (WFSP), and substrate availability (e.g., dissolved organic carbon and inorganic N) <ref type="bibr">(Deng et al. 2016)</ref>.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>Model validation and base meteorological data</head><p>Comparing simulated results with experimental measurements was used to verify and validate the model. In brief, the model validation was based on a threeyear cornfield experiment conducted at Tennessee State University Agricultural Research and Education Center (latitude 36.12&#176;N, longitude 86.89&#176;W, elevation 127.6 m) in Nashville, TN, USA. The model inputs included meteorological data, soil properties, crop parameters, and farming management practices <ref type="bibr">(Deng et al. 2015</ref><ref type="bibr">(Deng et al. , 2016))</ref>. More detailed description of this no tillage and regular N fertilization study site, field sampling method, and model validation and results were given in <ref type="bibr">Deng et al. (2015</ref><ref type="bibr">Deng et al. ( , 2016))</ref>. The local meteorological data during the experiment period were acquired from the weather station (Davis Instruments, Vernon Hills, IL, USA) at the experiment site. The cropland management practices, including planting and harvest, tillage, fertilization, and irrigation, and all of the date and quantity were determined based on the field measurements and operation. The DNDC model was firstly parameterized based on the measured initial soil physical and chemical parameters to simulate daily N 2 O emission in the ambient precipitation and typical N fertilization (control_TN) treatment <ref type="bibr">(Deng et al. 2016)</ref>. Then this parameterized DNDC model was used to simulate daily N 2 O emissions for the other 53 treatments.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>Experimental design to simulate effects of precipitation intensity and frequency, and N application levels on soil N 2 O emission</head><p>To simulate the effects of precipitation pattern (i.e., intensity and frequency) change and N fertilization on soil N 2 O emission in the cornfield, we set 18 different precipitation patterns including the control treatment and three N fertilization rates. We used the three-year (2012-2014) ambient precipitation (including intensity and frequency) and typical N fertilization by farms as base case scenarios or controls <ref type="bibr">(Deng et al. 2016</ref>). The ambient total annual precipitation was <ref type="bibr">1164, 1394, and 1367 mm in 2012, 2013, and 2014, respectively.</ref> Here we can conclude that 2012 was a relatively dry year because the annual precipitation of 2012 was reduced by 15.7% compared to the average value of the other two years. Each of these three years was simulated by altering the precipitation intensity without the change of frequency or by changing of the precipitation frequency without the change of annual total quantity. Overall, the 17 precipitation pattern changes included 5 precipitation intensity changes (2 decreased and 3 increased precipitations) and 12 precipitation frequency changes (7 less frequent precipitations and 5 more frequent precipitations). For precipitation intensity change, we set -50% (50% decrease in ambient precipitation), -30% (30% decrease in ambient precipitation), ? 30% (30% increase in ambient precipitation), ? 50% (50% increase in ambient precipitation), and ? 100% (double than the ambient precipitation) without changing the precipitation frequency. For precipitation frequency changes, we maintained the same total amount of precipitation in the years but changed the precipitation frequency by merging or splitting the precipitation events. We considered continuous precipitation days as one event. Less frequent precipitation treatments included M2, M3, &#8230;, M8 by merging 2, 3, &#8230;, or 8 precipitation events into one large event, respectively. For example, M3 merged precipitation events 1, 2, 3 as event 1, and events 4, 5, 6 as event 2. In the merged treatments, precipitation became less frequent but high intensity (LFHI). S2, S3, &#8230;, S6 were more frequent but less intensity (MFLI) precipitation treatments, implemented by splitting one precipitation event to 2, 3, &#8230;, or 6 small precipitation events, respectively. For example, we had one precipitation event with four consecutive rainy days, and split it into two precipitation events (S2). We divided four days total precipitation into two even portions. One portion was proportionally allocated to these four days (reduced by half), and another portion was allocated to the middle of the day between the last day of this precipitation event and the first day of the next event.</p><p>After we split one precipitation into 6 events, the precipitation events almost occurred daily the whole year.</p><p>As for N fertilization application treatment, we set three N fertilization rates: TN (typical N fertilization at 118 kg N ha -1 yr -1 ), LN (low N fertilization treatment, half the typical N fertilization at 59 kg N ha -1 yr -1 ), and HN (high N fertilization treatment, ? 50% of the typical N fertilization at 177 kg N ha -1 yr -1 ). The LN and HN treatments were within the range of the N fertilizer applied by local farmers to cornfields. Chicken manure (99 kg N ha -1 yr -1 ) was applied to all treatments before the seeds were planted <ref type="bibr">(Deng et al. 2015)</ref>, and aqueous urea ammonium nitrate was applied twice once on vegetative stage and another one on reproductive stage at the set N application levels accordingly. The detailed fertilization schedule can be found in Table <ref type="table">1</ref>.</p><p>To assess the interactive effects of precipitation pattern and N fertilization on soil N 2 O emission, we ran the DNDC model under the combinations of 18 precipitation pattern changes and three fertilization rates, for a total of 54 simulations. Daily dynamics of soil N 2 O emission and emissions through nitrification and denitrification were simulated. Effects of different precipitation patterns and N fertilization and their interactions on soil N 2 O emission were detected using the analysis of variation (ANOVA). Multiple comparisons were conducted using Least Square Difference (LSD) method. Data analysis was conducted using 123 IBM SPSS Statistics 21.0 for Windows (IBM Corp., Armonk, NY, USA).</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>Results</head></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>Effects of precipitation intensity on soil N 2 O emission</head><p>Results of ANOVA showed that soil mean annual N 2 O emission was significantly affected by precipitation intensity and the interaction between intensity and N fertilization (p \ 0.01; Table <ref type="table">2</ref>). Compared to the soil N 2 O emission in the ambient precipitation intensity (control), the reduced precipitation intensity treatments (-50% and -30%) decreased soil N 2 O emission by -50%, -33%, respectively, and the three enhanced precipitation intensity treatments (? 30%, ? 50%, ? 100%) increased soil N 2 O emission by 38%, 67%, and 132%, respectively (Fig. <ref type="figure">1a</ref>). Simulated soil N 2 O emission was more responsive to precipitation change under the high intensity precipitation treatments than the low intensity precipitation (Fig. <ref type="figure">1b</ref>). There was no significant difference in soil N 2 O emission among years (p [ 0.05, Table <ref type="table">2</ref>). The lowest annual mean N 2 O emission was in the -50% precipitation treatment (1.1 kg N ha -1 yr -1 ) and the highest value was in the ? 100% precipitation treatment (4.9 kg N ha -1 yr -1 ) (Fig. <ref type="figure">1a</ref>). The changes of precipitation intensity and N 2 O emission were described with polynomial functions (Fig. <ref type="figure">S1A</ref>, R 2 = 0.99). Daily dynamics of soil N 2 O emissions simulated using the DNDC model showed pulse responses, particularly during the growing seasons (April to September), and were dramatically enhanced as precipitation intensity increased from -50% to the control and to ? 100% treatments (Fig. <ref type="figure">S2</ref>). The high soil N 2 O emission peaks mostly occurred in the growing season for all three years.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>Effects of precipitation frequency on soil N 2 O emission</head><p>We changed the frequency of precipitation events by either merging the 2-8 succeeding precipitation events together (LFHI, denoted as M2 to M8) or splitting one precipitation event into 2-6 precipitation events (MFLI, denoted as S2 to S6) without changing the total amount of precipitation (Fig. <ref type="figure">2</ref>). The number of precipitation events increased from precipitation frequency treatment M8 to M2, to control, and from S2 to S6 (Fig. <ref type="figure">3a</ref>). The minimum number of precipitation events of M8 and M7 was an average of 17 times per year across the three years of 2012-2014 (Figs. <ref type="figure">3a,</ref><ref type="figure">S3</ref>). The maximum number of precipitation events was S6, averaging to 320 times per year across the three years (Figs. <ref type="figure">3a,</ref><ref type="figure">S3</ref>).</p><p>Change in precipitation frequency significantly influenced soil N 2 O emissions (p \ 0.01, Table <ref type="table">2</ref>). Soil N 2 O emission did not vary significantly among the LFHI treatments (M3 to M8) and decreased as precipitation frequency increased from M2 to control, and to S2. Moreover, N 2 O emissions did not vary significantly among the S3 to S6 treatments (p [ 0.05, Fig. <ref type="figure">S1B</ref>). Compared to mean soil N 2 O emission over three years under the ambient precipitation (control), simulated soil N 2 O emission was increased by ? 51%, ? 54%, ? 51%, 48%, ? 40%, ? 51%, and ? 24% in LFHI treatments (M8, M7, M6, M5, M4, M3, and M2), respectively (Fig. <ref type="figure">2b</ref>). Soil N 2 O emission in the reduced precipitation frequency treatment S2, S3, S4, S5, and S6 was decreased by -14%, -17%, -30%, -27%, and -31%, respectively (Fig. <ref type="figure">2b</ref>). The three years of annual mean soil N 2 O emission ranged from 2.6 kg N ha -1 yr -1 to 3.3 kg N ha -1yr -1 under the LFHI treatments (M8-M2) and 1.5 kg N ha -1 yr -1 to 1.8 kg N ha -1 yr -1 under the MFLI treatments (Fig. <ref type="figure">2a</ref>). Soil N 2 O emission was higher in the LFHI treatments, and lower in the MFLI 123 treatments (Fig. <ref type="figure">2</ref>). MFLI precipitation treatments (S2 to S6) reduced the occurrence of soil N 2 O emission peaks (Fig. <ref type="figure">S3</ref>).</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>Effects of N fertilization rate on soil N 2 O emission</head><p>Nitrogen fertilization had a significant effect on soil N 2 O emission (p \ 0.01, Table2). Linear regression analysis showed that the soil N 2 O emission was significantly positively correlated to the N fertilization rate (Fig. <ref type="figure">4</ref>). Soil N 2 O emission was higher in the HN treatment and lower in the LN treatment compared to the TN. Annual mean soil N 2 O emissions over the three years was 1.2, 2.1, and 3.2 kg N ha -1 yr -1 in the LN, control, and HN treatments, respectively (Fig. <ref type="figure">4</ref>).</p><p>Soil N 2 O emission in the HN treatment was 2.7 times than that in the LN treatment. Soil N 2 O emission varied more between years at low N fertilization relative to high N fertilization (Fig. <ref type="figure">4a</ref>).</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>Interactive effects of precipitation pattern change and N fertilization on soil N 2 O emission</head><p>A significant interaction on soil N 2 O emission was only found between precipitation intensity and N application (p = 0.03, Table <ref type="table">2</ref>). The daily soil N 2 O emission over the three years showed that soil N 2 O emission increased abruptly and reached high peaks at rainy days with N fertilization (Fig. <ref type="figure">S2</ref>). Compared to the mean soil N 2 O emission under the control_TN treatment (2.1 kg N ha -1 yr -1 ), the highest soil N 2 O emission (increased by 203%) occurred in the ? 100% precipitation intensity and the high N fertilization (? 100%_HN) treatment (Fig. <ref type="figure">1</ref>). The lowest soil N 2 O emission was simulated in the -50% precipitation and the low N fertilization (-50%_LN) treatment (0.5 kg N ha -1 yr -1 ), where it was decreased by 75% compared to the control_TN treatment (Fig. <ref type="figure">1</ref>).</p><p>The N fertilization with higher intensity precipitations increased soil N 2 O emission compared to the lower intensity precipitations. Soil N 2 O emission increased nonlinearly with precipitation intensity for all three N fertilization treatments (Fig. <ref type="figure">1a</ref>). Overall, high intensity precipitation treatments (? 100%, ? 50%, and ? 30%) usually generated more soil N 2 O emission (higher than 2.5 kg N ha -1 yr -1 except the ? 30%_ LN), while the low intensity precipitation treatments (control, -30% and -50%) produced less soil N 2 O emission (lower than 2.5 kg N ha -1 yr -1 except the control_HN treatment) (Fig. <ref type="figure">1b</ref>). We selected this threshold value of 2.5 kg N ha -1 yr -1 as it could separate all treatments into two groups at the control level mostly (Fig. <ref type="figure">1a</ref>).</p><p>There was no significant interaction between precipitation frequency and N fertilization (p [ 0.05, Table <ref type="table">2</ref>). Soil N 2 O emission was not influenced by less frequent treatments (M3-M8) or by more frequent precipitation treatments but reduced from M3 to M2, the control, and S2 (Fig. <ref type="figure">S1B</ref>). Compared to the control_TN treatment, we observed that under the LN and TN treatments, LFHI precipitation increased soil N 2 O emission, but MFLI precipitation treatments reduced soil N 2 O emission (Fig. <ref type="figure">2</ref>). However, under the HN treatment, both LFHI and MFLI increased soil N 2 O emission compared to the control and TN treatment (Fig. <ref type="figure">2b</ref>). </p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>Effects of precipitation intensity on soil N 2 O emission</head><p>The model predicted that soil N 2 O emission increased with increases in precipitation intensity. This phenomenon is prevalent in most terrestrial ecosystems, particularly in forests and grasslands, as revealed in a meta-analysis <ref type="bibr">(Yan et al. 2018)</ref>. Changes in precipitation intensity directly influence soil moisture conditions that determine soil N 2 O emission processes <ref type="bibr">(Attard et al. 2011)</ref>. Indeed, soil moisture increased with increases in precipitation intensity (Fig. <ref type="figure">3b</ref>), and annual soil N 2 O emissions was increased with an increase in soil moisture in this study (Fig. <ref type="figure">6a</ref>). Soil moisture is an important factor that strongly influences the processes of nitrification and denitrification -50%: a 50% decrease in ambient precipitation; -30%: a 30% decrease in ambient precipitation; control: the ambient precipitation; ? 30%: a 30% increase in ambient precipitation; ? 50%: a 50% increase in ambient precipitation; ? 100%: double the ambient precipitation. Relationships between soil N 2 O emission and N application are embedded as inlet and the shaded areas represent 95% confidence intervals (A). Asterisks indicate the level of significance (***p \ 0.001).</p><p>The horizontal line indicates that annual N 2 O emission is 2.5 kg N ha -1 yr -1 (a). The simulated treatment is denoted as ''precipitation pattern_nitrogen level'' (b) 123 <ref type="bibr">(Bremner 1997;</ref><ref type="bibr">Wrage et al. 2001;</ref><ref type="bibr">Rochette et al. 2010)</ref>. Both annual soil nitrification and denitrification rates were enhanced with the increases in precipitation intensity (Fig. <ref type="figure">5a,</ref><ref type="figure">b</ref>). Soil nitrification dominates the total soil N 2 O emission, while denitrification has more potential than nitrification in producing more soil N 2 O emission under anaerobic and saturated conditions <ref type="bibr">(Wolf and Russow 2000;</ref><ref type="bibr">Mathieu et al. 2006)</ref>. A previous study also showed that under an anaerobic condition with more precipitation, the fraction of N 2 O loss from enhanced denitrification can be 10 times larger than that in the nitrification process <ref type="bibr">(Xu et al. 2019)</ref>. Compared to the control, in our study, soil N 2 O emission, nitrification, and denitrification under the ? 100% precipitation treatment increased by 132%, 7%, and 221%, respectively (Figs. <ref type="figure">1b,</ref><ref type="figure">5a,</ref><ref type="figure">b</ref>). Under the high precipitation intensity condition, the increased soil moisture and an anaerobic environment would stimulate the decomposition of organic matter and contribute to the process of denitrification <ref type="bibr">(Chen et al. 2013)</ref>, allowing simultaneous nitrification and denitrification <ref type="bibr">(Butterbach-Bahl et al. 2013)</ref>. The nonlinear and asymmetric response of soil N 2 O emissions to soil moisture and precipitation intensity treatments (Fig. <ref type="figure">6c</ref>) showed the soil N 2 O emission was more responsive to increased precipitation than 123</p><p>Fig. <ref type="figure">3</ref> The precipitation events under different simulated precipitation frequency treatments (a), the soil average WFPS (%) under different simulated precipitation treatments (b) among different years. -50%: a 50% decrease in ambient precipitation; -30%: a 30% decrease in ambient precipitation; control: the ambient precipitation; ? 30%: a 30% increase in ambient precipitation; ? 50%: a 50% increase in ambient precipitation; ? 100%: double the ambient precipitation. Mn: merged n precipitation events into one event; Sn: spilt one precipitation event into n events; control: the ambient precipitation; WFPS: water-filled porosity that to decreased precipitation. Similar patterns were shown for plant productivity and ecosystem carbon fluxes <ref type="bibr">(Wu et al. 2011</ref>). These were due to simultaneous increases in both nitrification and denitrification with high intensity precipitation.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>Effects of precipitation frequency on soil N 2 O emission</head><p>In this study, the LFHI treatments reduced precipitation events, increased precipitation intensity and soil moisture for each event, as a result, soil N 2 O emission was higher than the control (Figs. <ref type="figure">2,</ref><ref type="figure">S3</ref>). The MFLI treatments showed opposite effects on these variables. Furthermore, soil moisture increased nonlinearly with precipitation intensity and number of precipitation events (Figs. <ref type="figure">3,</ref><ref type="figure">6a</ref>). As the total amount of precipitation was the same for all precipitation frequency treatments, MFLI precipitation treatments increased soil moisture, but reduced soil N 2 O emission. In a previous study, <ref type="bibr">Liang et al. (2016)</ref> showed that soil N 2 O emission declined as drying-rewetting cycles increased, similar to our result. However, the relationship of soil N 2 O emission and soil moisture under the precipitation frequency treatments was quite different from that under the precipitation intensity treatments. Decreasing soil N 2 O emissions with increases in soil moisture in this study (Fig. <ref type="figure">6d</ref>) were contradictory to the finding of <ref type="bibr">Fentabil et al. (2016)</ref> who found that more frequent irrigation increased soil N 2 O emission in an orchard. The inconsistencies could be caused by the differences in the amount of water added in precipitation or irrigation treatments or the difference in ecosystems. As the same amount of precipitation was added, precipitation frequency treatments had less effects on soil annual N leaching, compared to precipitation intensity treatments (Fig. <ref type="figure">5d</ref>). The soil N loss through surface runoff was also similar under all precipitation frequency treatments (Fig. <ref type="figure">5c</ref>). Thus, the decreased soil N 2 O emission in the MFLI treatments could be due to the obvious decrease in soil denitrification (Fig. <ref type="figure">5b</ref>). Precipitation interval or drought duration could influence substrate supply and microbial activities and affect soil N 2 O emission <ref type="bibr">(Xiang et al. 2008;</ref><ref type="bibr">Borken and Matzner 2009)</ref>. Rapid soil microbial response to frequent rewetting events and concomitant greater moisture availability often resulted in instantaneous C and N mineralization, followed by shifts in C/N of microbially available substrate, and enhanced potentially available N <ref type="bibr">(Austin et al. 2004;</ref><ref type="bibr">Butterly et al. 2011;</ref><ref type="bibr">Lopez-Sangil et al. 2018)</ref>. During the drought periods, the hydration and lysis of dead microbial cells would increase substrate availability <ref type="bibr">(Fierer and Schimel 2002;</ref><ref type="bibr">Borken and Matzner 2009)</ref>. The additional mineralization increased the release of N from soils. Meanwhile, frequent rewetting events might cause the breakage of soil macroaggregates and expose physically protected organic matter that was difficult for microorganisms to reach, and more available substrate will be supplied to microorganisms <ref type="bibr">(Denef et al. 2001)</ref>. In this study, we found that the LFHI treatments enhanced the denitrification process -30%: a 30% decrease in ambient precipitation; control: the ambient precipitation; ? 30%: a 30% increase in ambient precipitation; ? 50%: a 50% increase in ambient precipitation; ? 100%: double the ambient precipitation. Mn: merged n precipitation events into one event; Sn: spilt one precipitation event into n events; control: the ambient precipitation (Fig. <ref type="figure">5b</ref>). As a result, an immediate pulse in soil N 2 O emission could be produced (Fig. <ref type="figure">S3</ref>).</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>Effects of N fertilization on soil N 2 O emission</head><p>Soil N 2 O emission increased with N application <ref type="bibr">(Bouwman et al. 2002;</ref><ref type="bibr">Charles et al. 2017;</ref><ref type="bibr">Wang et al. 2018;</ref><ref type="bibr">Volpi et al. 2019)</ref>. This was mainly because the N is the substrate for microorganisms related to soil nitrification and denitrification processes. Indeed, we found that nitrification and denitrification were enhanced by N application, particularly soil nitrification (Fig. <ref type="figure">5b</ref>). Nitrogen leaching and N runoff were also increased, especially when exceeded N fertilization was applied.</p><p>Regarding the relationship between soil N 2 O emission and N application, both linear (e.g., <ref type="bibr">Albanito et al. 2017</ref>) and nonlinear <ref type="bibr">(Kim et al. 2013;</ref><ref type="bibr">Shcherbak et al. 2014;</ref><ref type="bibr">Ning et al. 2019</ref>) relationships have been reported. In this study, there were good linear relationships between N 2 O emission and N fertilization rate (p \ 0.05, Fig. <ref type="figure">4</ref>). We also found that annual variation was larger under the LN treatment than the TN and HN treatments (Fig. <ref type="figure">4a</ref>). Soil N 2 O emission was lower in the dry year (2012), probably due to lower nitrification as soil nitrifiers could be more limited by lower soil moisture <ref type="bibr">(Brown et al. 2012)</ref>. -50%: a 50% decrease in ambient precipitation; -30%: a 30% decrease in ambient precipitation; control: the ambient precipitation; ? 30%: a 30% increase in ambient precipitation; ? 50%: a 50% increase in ambient precipitation; ? 100%: double the ambient precipitation. Mn: merged n precipitation events into one event; Sn: spilt one precipitation event into n events; control: the ambient precipitation; WFPS: water-filled porosity. Asterisks indicate the level of significance (*p \ 0.05; **p \ 0.01; ***p \ 0.001)</p><p>The changes of soil N 2 O emission between the HN and LN fertilization varied from 104.2% in 2013 to 327.7% in 2012 (Fig. <ref type="figure">4a</ref>). It indicated that soil N 2 O emission was more sensitive to N availability in a dry year. However, these results should be interpreted with caution, since we only tested three N application levels, as one of the main objectives in this study was to test the responses of the soil N 2 O emission to precipitation pattern changes under different N application levels. Further studies need to be conducted with multiple N applications to develop their Interactive effects of precipitation pattern change and N fertilization on soil N 2 O emission In this study, increased precipitation intensity with N fertilization generally increased soil N 2 O emission (Fig. <ref type="figure">1</ref>). Soil N 2 O emission increased with precipitation intensity treatments from dry to wet years under all N fertilization treatments, but soil N 2 O emission was stimulated more under the higher N fertilization than the typical and the low N fertilization treatments (Fig. <ref type="figure">1a</ref>). The lowest soil N 2 O emission under the -50% and LN treatment was caused by low nitrification and denitrification (Fig. <ref type="figure">5a,</ref><ref type="figure">b</ref>). The higher sensitivity of soil N 2 O emission to precipitation intensity was mostly caused by the stronger increases in soil denitrification under the high precipitation intensity (Fig. <ref type="figure">5b</ref>). Under the control, -30% and -50% treatments, soil N 2 O emission was lower than 2.5 kg N ha -1 yr -1 for all N fertilization treatments except the HN with the control, and under the other precipitation intensity treatments, soil N 2 O emission was higher than 2.5 kg N ha -1 yr -1 except the LN with ? 30% and ? 50% treatments. These results indicated that water availability was a more important factor in reducing soil N 2 O emission in the field. The highest soil N 2 O emission occurred in the HN with ? 100% precipitation treatment, due to both high soil nitrification and denitrification under this condition (Fig. <ref type="figure">1b</ref>).</p><p>In this study, we found no significant interaction of precipitation frequency and N fertilization on soil N 2 O emission. We observed different soil N 2 O emission patterns with precipitation frequency treatments, but the responses were similar under different N fertilization treatments (Fig. <ref type="figure">2a</ref>). As precipitation frequency decreased and intensity increased, soil nitrification was enhanced, but denitrification was mostly reduced, resulting in no significant differences among the MFLI treatments or among the LFHI treatments, for all N fertilization levels.</p><p>The timings of N fertilization and precipitation/ irrigation could also influence responses of soil N 2 O emission. Applying N fertilizer on or after a rainy day produced the highest peak of soil N 2 O emission (Fig. <ref type="figure">S3</ref>), as more substrate and water availability simultaneously stimulated soil microbial activities. We also found that the annual soil N 2 O emission was unexpectedly increased in the S3 and S5 precipitation treatments under the HN treatment (Fig. <ref type="figure">2a</ref>). The higher annual N 2 O emission might be due to the soil N 2 O emission peaks in November (Fig. <ref type="figure">S3</ref>). Higher soil N 2 O emission corresponded to higher precipitation events, but the emissions occurred always during or soon after the precipitation. When drought was followed by large precipitation, increased soil moisture would likely enhance soil N 2 O emission in periodic pulses <ref type="bibr">(Aronson et al. 2019)</ref>. The effects of N fertilization and precipitation on soil N 2 O emission were additive especially in the dry years <ref type="bibr">(Zhang et al. 2017)</ref>. In this study, the HN treatment greatly increased soil N 2 O emission and showed the greatest changes in 2012, a relatively dry year (Fig. <ref type="figure">4a</ref>).</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>Conclusions</head><p>Based on 54 simulations of soil N 2 O emission in a cornfield over three years using the DNDC model, we investigated the main and interactive effects of precipitation pattern (intensity and frequency) change and N fertilization. Less frequent but high intensity precipitation stimulated soil N 2 O emission, particularly under the high nitrogen application. Similar results could be found in croplands and grasslands with similar climate conditions and agricultural practices. However, soil N 2 O emission in a changing environment is unlikely affected by a single factor. Understanding the interactive effects of precipitation patterns, N fertilization, and the timing of management practices provides insights regarding timing and intensity of irrigation and fertilization, and improves water and N use efficiencies in agriculture. Although we have qualitatively estimated the response of N 2 O emission to many scenarios, the changing of precipitation events to global warming may be more 123 complex than we expected. It implies that we should study the interaction between precipitation intensity and frequency rather than these two factors individually. More field experiments with combined precipitation pattern changes and N fertilization are needed to confirm the interactive effects of precipitation pattern and N application in croplands observed here.</p></div><note xmlns="http://www.tei-c.org/ns/1.0" place="foot" xml:id="foot_0"><p>Nutr Cycl Agroecosyst</p></note>
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