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# Effect of contrasting phosphorus levels on nitrous oxide and carbon dioxide emissions from temperate grassland soils

## Abstract

Agricultural practices such as repeated fertilization impact carbon (C), nitrogen (N) and phosphorus (P) cycling and their relationships in the plant–soil continuum, which could have important implications for the magnitude of greenhouse gas emissions. However, little is known about the effect of C and N additions under contrasting soil P availability status on nitrous oxide (N2O) and carbon dioxide (CO2) emissions. In this study, we conducted a field-based experiment that investigated the impact of long-term (23 years) P management (no (P0, 0 kg P ha−1), low (P15, 15 kg P ha−1) and high (P45, 45 kg P ha−1) P inputs) on N2O and CO2 emissions following two C + N application events in two managed grassland ecosystems with loam and sandy loam soils. The magnitude of fluxes varied between the soil P availability levels. Cumulative N2O emission was significantly higher in P0 soils (1.08 ± 0.09 g N2O-N m−2) than P45 soils (0.63 ± 0.03 g N2O-N m−2), with the loam soil (1.04 ± 0.04 g N2O-N m−2) producing significantly higher emissions than the sandy loam soil (0.88 ± 0.05 g N2O-N m−2). We conclude that P-limitation stimulates N2O emissions, whereas P-enrichment promotes soil respiration in these temperate grassland sites. Our findings inform effective nutrient management strategies underpinning optimized use of N and P inputs to agricultural soils as mitigation measures for both food security and reducing greenhouse gas emissions.

## Introduction

Nitrous oxide (N2O) and carbon dioxide (CO2) are two of the main greenhouse gases (GHGs) emitted from agricultural soils. Nitrous oxide is a potent GHG with 298 times more global warming potential than CO2 and arises from application of organic and inorganic nitrogen to soil1. Further, carbon dioxide emitted from soil auto- and heterotrophic respiration represents an important flux component in the global carbon cycle between soil and the atmosphere2. Grasslands constitute one of the dominant land uses in Europe, comprising 38% of agricultural land, and grassland management practices substantially contribute to GHG emissions3,4. Owing to their large capacity for storing soil organic carbon (SOC), grasslands play a significant role in mitigating climate change5. Intensively farmed grassland soils are routinely supplemented with nutrient inputs, such as nitrogen (N) and phosphorus (P), to increase herbage biomass production, as these nutrients support plant photosynthesis, protein synthesis, and energy transfer. Despite their importance, imbalanced use or availability of N and P may induce significant alterations in ecosystem structure and functioning, and thereby dynamics of carbon (C) and nitrogen cycles6.

Long term and repeated fertilizer applications affect the C:N:P ratio and the cycling of these nutrient in agricultural soils through changes in microbial biomass and community composition7,8,9,10. Phosphorus and nitrogen fertilization have been found to impact mycorrhizal community and biomass7,11, plant species richness and diversity12 as well as root exudation and turnover13, all of which could influence C movement and plant–soil nutrient relations in ecosystems. Microorganisms can obtain C from organic material and mineralise it into simpler inorganic compounds to release essential nutrients, whose availability in soil limit successful plant and microbial growth. The availability of N and P relative to C (stoichiometric relationships) determines microbial mineralization or immobilization of these nutrients14,15 and may strongly affect C dynamics in an ecosystem. Studies suggest strong limitations of N and P on heterotrophic respiration indicating tight coupling of essential nutrients and carbon16,17,18. Nitrous oxide is primarily produced through microbial nitrification and denitrification, and its production via these pathways are affected by microbial composition as well as the availability of soil mineral N and phosphate, C substrate, oxygen, soil moisture, pH, and soil temperature17,19. While it is known that N fertilizer applications contribute to the formation of N2O4, there is a poor understanding of the interaction between soil nutrients and carbon availability, and their subsequent impact on N2O and CO2 emissions in agricultural soils.

Fertilizer-driven changes in managed grassland soils could have functional implications for the composition of arbuscular mycorrhizal fungi (AMF) and alter their symbiotic relationship with plants15,20,21,22. This symbiotic relationship comprises of increased access to N and P facilitated by the AMF to the plant in return for C11,23. However, the extent to which N, P and C is exchanged could be influenced by an increasing use of N and P fertilizers. In a P-rich soil, N enrichment has been found to cause reduced allocation of photosynthates to mycorrhizae arbuscules, coils and extraradical hyphae23. In contrast, nitrogen enrichment of low P soils increased C allocations to these structures23. Thus, the availability of N relative to P in mycorrhizal system could affect the relationship between fungi and hosting plants and limit the ability of fungi to procure the elements. Lower P levels were associated with a significant increase of AMF colonization in a study conducted in the same experimental field of the current investigation24. Contrasting presence of AMF in agricultural soils could have major implications for variable N2O and CO2 formation and may result in different nutrient use of efficiency of plants. Bender et al.25 and Storer et al.26 showed reduced N2O emissions in soils with abundant presence of fungi group, AMF, despite fungi are generally considered as a source of N2O as they lack N2O reductase27. In contrast to these findings, Okiobe et al.28 demonstrated promoted potential N2O production as a result of decreased abundance of arbuscular mycorrhizal fungi. In a recent laboratory-based study, significantly higher N2O emission was observed in a P-limited soil than in a P-enriched soil following the same input of C and N in the two varying P-levels29. However, this relationship requires further investigation and verification under natural field conditions with plants present. Here we investigate the influence of N fertilizer addition and C availability on N2O and CO2 emissions across two agricultural soils with sandy loam (Site A) and loam (Site B) textures with differing soil P levels in each soil30. We hypothesized that the largest magnitude of N2O release occurs at low soil P levels in grassland soils. We further hypothesized that CO2 production increases with increasing levels of P in these soils. The main objective was to understand how N2O and CO2 emissions are affected in response to C + N additions across a soil P gradient.

## Materials and method

### Site description

This experiment was conducted in two long-term P-trial grassland sites (Site A and Site B) situated in proximity (~ 350 m) to each other in the dairy farm at Johnstown Castle, Wexford, Co. Wexford, Ireland (6°49′ W, 52°29′ N). The sites were grazed permanent grasslands before establishment. When the experiment was established in 1995, 16 (10 m × 2 m) plots were formed in each site in a fully randomised block design with four replicates. The two sites established were selected to represent different soil types and drainage classes. Site A is a moderately drained brown earth and site B is an imperfectly drained gley soil31. Each year in February, each plot received one of the four phosphorous (P) fertilization rates (16% P superphosphate): 0 (P0), 15 (P15), 30 (P30), and 45 (P45) kg P ha−1 year−1. All plots were initially sown with Lolium perenne and reseeded in 2016 with the same species. However, plant species such as Poa trivialis, Agropyron repens, Trifolium repens were present to a lesser extent. Above-ground biomass is harvested each month between February and August followed by 40 kg N ha−1 fertilizer applications. In the year (2019) of this experiment and the years before, SulCAN as a solid was applied at the first or second week of each month during February-August and potassium (K) as muriate of potash (KCl) was applied in February at a rate of 125 kg K ha−1. SulCAN contains 26.7% N in the form of nitric and ammoniacal nitrogen and 5% water soluble Sulphur. For this study plots receiving P0, P15 and P45 at the two field sites were set up to carry out this experiment. The two sites were selected as they had slightly different soil properties and thus there was an opportunity to consider a soil × treatment effect in the experiment.

### Experimental design

Fertilizer N and substrate C were applied on 8 May and 12 June in the experiment undertaken between May and July 2019, which represents the main growing season in Ireland. Within each plot, an area of 1 m × 1 m was selected. Following N fertilizer application (40 kg N ha−1) to all plots, carbon substrate [mixture of glucose (40%), sodium acetate (30%) and methanol (30%)] was applied once within the selected area using a sprayer watering can. Labile C available in animal excreta usually contains carbohydrates, volatile fatty acids, and alcohols32; as such different carbon substrates were applied to mimic this. Our review of the literature also indicated that C source types could differentially affect denitrifying communities and consequently denitrification rate. Thus, a mixture of three C sources was used to decrease bias of one microbial group over another as a result of single substrate use. Carbon was supplied to alleviate C-limitations of denitrification and nitrification processes as observed by O’Neill et al.29 in soils from this trial and to ensure equal substrate availability across all soil P levels. Equivalent C input rate of 0.63 g C m−2 day−1 was added to represent a daily rate of plant carbon input from Lolium perenne dominated ecosystem33. Soil samples were collected on eight occasions throughout the experimental period. Soil was sampled from across each selected area to a depth of 10 cm, sieved through 4 mm sieve and analysed for soil mineral N and microbial biomass.

### Soil properties, plant biomass and climate parameters

Physico-chemical soil properties were characterized by taking samples from 10 cm depth from each plot in the two sites before the commencement of the experiment. Soil pH was measured in water (2:1, water volume:soil mass) using Sally pH Auto analyser Dilution System (Gilson 215, Gilson, Dunstable, England). Soil organic matter (SOM) content was determined from mass loss on ignition at 550 °C for 7 h. Total C and total N concentrations were measured using a TrueSpec C/N analyser (TruSpec, LECO Corporation, Michigan, USA). Plant available P, potassium (K), and magnesium (Mg) were estimated using Morgan’s extraction34 and analysed using a Lachat QuickChem 8500 Series 2 Flow injection Analyzer (Lachat, QuickChem, 5600 Loveland, Colorado, USA). Particle size analysis was performed using the Pipette method35, where 2 mm sieved dry soil (20 g) was pre-treated with 6% H2O2, 3% NH4OH, and 5% sodium hexametaphosphate before separating soil aliquots into particle sizes. Water Holding Capacity (WHC) was determined from the mass difference between water-saturated and then overnight dried (105 °C) soil. Bulk density was determined by dividing weight of oven-dried soil by the total soil volume.

To determine the mineral N concentrations, ten gram fresh soil was extracted with 50 mL 2 M KCl (5:1 solution to soil ratio). The supernatant was filtered through Whatman No. 1 filter paper and filtrates were stored in a cold room at 4 °C for about a week until analysis. Ammonium (NH4+) and nitrate (NO3) concentrations in the extracts were analysed by the Aquakem 600 discrete analyser.

Above-ground plant biomass from each plot of both sites was harvested twice during the experiment period (June 10 and July 11, 2019) to a height of ~ 5 cm using a Haldrup plot harvester. The total harvested biomass weight from each plot was recorded and a 100 g sub-sample was taken for dry matter (DM) analysis. Each fresh herbage sub-sample was weighed and placed in an oven at 70 °C for 3 days, and dry weight of the biomass was determined after re-weighing.

Rainfall records for the experiment period were obtained from a Met Éireann weather observing station located in Teagasc dairy farm in Johnstown Castle, Co. Wexford., situated within a 100 m distance from the experimental sites. Volumetric soil moisture content and temperature was measured to 5 cm depth on individual plots on each gas sampling occasion using a handheld theta probe (WET-2 WET Sensor, Delta-T Devices, Cambridge, England). Water-filled pore space (WFPS) were calculated from the soil moisture values, bulk density of the soils, and soil particle density (2.65 g cm−3).

### Microbial biomass, glomalin-related soil protein and potential denitrification activity

Soils were analysed for microbial biomass nitrogen (MBN), phosphorus (MBP) and carbon (MBC) using the fumigation extraction method as described respectively in (Brooks et al.36,37, and Vance et al.38). Five gram fumigated (24 h) and non-fumigated soil samples were extracted with 100 mL 0.5 M NaHCO3 and analysed for P colorimetrically using an Aquakem 600 discrete analyser (Thermo Electron OY, Vantaa, Finland). In order to avoid the spike readings by the instrument due to the effervescent nature of NaHCO3, one millilitre of 10% HCl was added to 10 mL extracts and diluted to 50 mL using distilled water. Microbial P was calculated by subtracting the P concentration of non-fumigated samples from fumigated samples, and dividing the result by an extraction factor of 0.437.

Microbial biomass C and N were determined similarly using chloroform fumigation method with extraction period of 48 h with 0.5 M K2SO438. The extracts of the fumigated and non-fumigated samples were analysed for total C and N using a TOC-L CPH/CPN analyser (Shimadzu, Tokyo, Japan), and the differences, divided by correction factors of 0.45 and 0.54, were used to estimate the microbial biomass C and N, respectively.

### N2O and CO2 flux measurements

Gas samples (N2O and CO2 fluxes) were measured before and after the application of N fertilizer and C substrates, with a daily sampling for 10 days directly after C + N additions and 3–4 times a week in the third and fourth week and 2–3 times a week in the subsequent weeks. A rectangular (40 × 40 cm) static collar, made of stainless steel (opaque), was anchored 5 cm deep into the soil within the marked area of 1 m × 1 m in each of the selected plots. During gas sampling, a 10 cm tall chamber lid fitted with two septa on top was placed on the collar lined with neoprene rubber band. To ensure hermetic sealing of the headspace during sampling, the ring area of the collar was half-filled with water, and a 10 kg weight was placed on the top of the lid to compress the seal. Gas samples were collected between 09:30 and 11:30 local time using a 10 mL Luer lock syringe fitted with a hypodermic needle via one of the septa at 0, 20, and 40 min after chamber closure. Prior to transferring the final sample into a pre-evacuated 7 mL glass vial, air in the chamber headspace was mixed by flushing the syringe three times. Gas samples were analysed using a gas chromatograph (Bruker, Scion 456-GC, Livingston, Scotland) fitted with an electron capture detector to analyse for N2O concentrations and a thermal conductivity detector to analyse for CO2 concentrations. Daily Fluxes (F) were calculated for each plot using the following equation:

$$F = \left( {\frac{\Delta C}{{\Delta t}}} \right) \times \left( {\frac{M \times P}{{T \times R}}} \right) \times \left( \frac{V}{A} \right)$$

where ∆C is the change in gas concentration in the chamber headspace during chamber enclosure period in ppbv, ∆t is chamber closing period in minutes, so ∆C/∆t is the slope of the gas concentration with time. M is the molar mass of N2O-N (28 g mol−1) and CO2-C (12 g mol−1), P and T are the atmospheric pressure (Pa) and temperature (K). Atmospheric pressure values were obtained from the nearby weather station whereas for T, wet sensor values were used. V is the headspace volume of the closed chamber (m3) and A is surface are of the chamber (m3). R is the ideal gas constant (8.314 J K−1 mol−1). Daily flux for each treatment is reported as the average of the replicates.

Cumulative N2O and CO2 emissions were calculated over each application period by multiplying the daily N2O and CO2 fluxes by the number of days between two consecutive measurements. A summation of the cumulative flux of each application period is reported as the total cumulative flux.

### Statistical analysis

ANOVAs with repeated measures were used to test for the C + N addition effect on N2O and CO2 emissions, MBC, MBN, MBP, NO3, and NH4+ with P treatment, site, and day of measurement as fixed effects, and individual plots as a random effect. Two-way ANOVA was applied to test for main and interaction effects of P treatment and site on cumulative N2O and CO2 emissions, soil property parameters (Table 1), plant biomass, and GRSP. Prior to analysis, response variables were checked for normality (sphericity for repeated ANOVA) and homogeneity of variance, and log transformed when required. Tukey’s HSD post-hoc tests were conducted to identify pair-wise comparisons of significant effects at P < 0.05. We performed Spearman’s rank correlation to assess the correlations between soil biophysicochemical parameters, plant biomass, and N2O and CO2 emissions.

ANOVA analysis was performed using lmer function in lme4 package42 within R software. All statistical analyses were conducted using R, version 3.6.043.

## Results

### Soil properties and mineral nitrogen

Total C, total N, Mg, and OM were significantly greater in Site A than Site B (P < 0.001) (Table 1). There was a significant effect of phosphorous treatment on soil K, Mg, P and pH (P < 0.001). The pH of P45 was generally higher than the P0 and P15 in the two sites, but the P45 at site B was significantly higher than P0 and P15 (P < 0.01). Expectedly, the P content of P45 was significantly higher than P0 and P15 at both sites (P < 0.01) (Table 1). Site B had significantly greater WHC than Site A.

C + N addition significantly (P < 0.01) increased soil NH4+-N and NO3-N concentrations in the two sites with the highest increase observed in P45 and P15 plots (Fig. 1). However, the NH4+-N and NO3-N concentrations decreased rapidly in the following week except the NO3-N concentrations in site A after the second application when it further increased before decreasing afterward (Fig. 1). Site B had generally significantly higher NH4+-N concentrations (P = 0.05) (Fig. 1).

### Precipitation, WFPS and soil temperature

Daily precipitation ranged from 0.1 to 18 mm during the experiment period, with most of the rainfall occurring in the period following the second C + N addition (Fig. 2). Thus, the cumulative rainfall (60.2 mm) during the second addition was greater than the first (41.7 mm), which is considerably dry, compared to the total mean (162.5 mm) of the previous 10 years (2009–2018) of the same period. WFPS decreased progressively from 96.35 to 53.19% following the first addition event, but it stayed above 65.19% for the majority of the second application period (Fig. 2). Owing to a co-occurrence of fertilization events with the preceding rainfall, the addition of C solution did not cause a further increase in soil moisture content. Average soil temperature of 15 °C was recorded in the first fertilization period, which was slightly lower than the second period (18 °C) (Fig. 2).

### N2O and CO2 emissions

An increase in labile C and mineral N-availability via the applications of fertilizer and glucose-acetate- methanol mixture to P0, P15, and P45 plots in the two sites resulted in increased N2O emissions, reaching a maximum N2O flux 2 days after application before decreasing after 8 days to background flux levels for both application events (Fig. 3a). The effect of P-treatment (P = 0.029) and site (P = 0.010) was significant but the interaction of the two was not significant. The emissions associated with the P0 treatment was significantly higher (P = 0.026) compared P45 treatments, indicating that low soil phosphorous enhanced N2O production (Fig. 3a). The cumulative N2O emission was significantly higher (P = 0.021) in P0 treatment than P45 treatment in both sites (Fig. 3c). The cumulative N2O emission in P0 was higher than in P15 treatment in the two sites. The cumulative N2O emission in site B (1.04 ± 0.04 g N2O-N m−2) was significantly higher (P = 0.011) than in site A (0.88 ± 0.05 g N2O-N m−2) (Fig. 3c). Although peak N2O flux occurred after the first C + N addition, the cumulative N2O emission following the second addition was significantly higher than that of the first.

Multiple successive peak CO2 emissions were observed following C + N addition in all treatments (Fig. 3b). The CO2 emission in P45 was higher than in P0 and significantly higher than in P15 (P = 0.036) plots in site A whereas, in site B, the CO2 emission in P15 was higher than in P0 plots. There was no significant difference between CO2 emissions at P45 and P0 in site B.

There were no significant differences in cumulative CO2 emission either between sites or site × treatment interaction (Fig. 3d). However, cumulative CO2 emission was significantly higher (P = 0.047) in the P45 and higher in P15 than in the P0 plots (Fig. 3d), being highest overall in the P45. There was no significant variation in the resultant cumulative CO2 emission between the first and the second application events, despite generally higher cumulative emission after the first addition.

### Microbial biomass and glomalin-related soil protein (GRSP)

No significant interaction of site and treatment was observed. Total GRSP varied between the two sites with Site B having significantly higher (P < 0.01) glomalin concentrations (Table 2). Total GRSP in P0 treatments of Site A and B were significantly greater than the P15 and P45 treatments (P < 0.01) (Table 2).

Significant treatment effect was observed in MBN (P = 0.045) and MBP (P = 0.012) following the first and second fertilization, respectively (Fig. 4a,c). Sampling time was a significant factor (P < 0.001) in determining the microbial biomasses whose levels were considerably higher in the first and second sampling after C + N additions. In the first application, MBN was significantly greater (P < 0.010) at site A for every treatment on 07/05, 09/05, and 16/05 in the first application, whereas in the second application MBN at site A was significantly greater (P < 0.010) on 14/06 for P0 and P45 and on 05/07 for P45 treatment (Fig. 4a). Significantly greater MBP at site A was observed on 09/05 and 05/07 at P0 (P = 0.019) and P45 (P = 0.045) treatments, respectively (Fig. 4c). MBC at P0 plots of site A was significantly greater at 09/05 (P = 0.034) and 05/07 (P = 0.030) (Fig. 4b).

### Plant biomass

No interaction of site and treatment was observed for plant dry matter. The dry matter yield at the end of the first C + N addition (May–June) was significantly (P < 0.01) higher than the dry matter at the end of the second application (June–July) (Table 2). There was no noticeable difference in dry matter yield between P15 and P45 plots, but the yield in these plots was significantly greater (P < 0.01) than the yield in P0 in both sites (Table 2). Site B during the second addition had significantly higher dry matter yield than site A at every corresponding phosphorous level plot (P = 0.034).

### Correlations between N2O and CO2 emissions and soil and plant parameters

The daily N2O emissions were significantly correlated with MBP, MBC, NH4+, NO3, and WFPS, but were not correlated with MBN and soil temperature by Spearman’s rank correlation (Table 3). Cumulative N2O and CO2 emissions were significantly correlated with Glomalin content, which was related to C, K, Mg, N, and plant biomass (Table 4). CO2 fluxes were significantly correlated with MBP, NH4+, NO3, and N2O (Table 3). A significant positive association was found among PDA, C, and N with the PDA correlated neither with cumulative N2O nor CO2 emissions (Table 4).

## Discussion

Carbon and mineral N availability directly influence soil N2O and CO2 emissions, but the interaction with different P levels have not been systematically studied, especially under field conditions. In this study, N2O and CO2 emissions were quantified from two long-term P-trials following C and N addition along a soil P gradient. Our study shows that both N2O and CO2 emissions increased following co-application of C and N; however, the magnitude of the emissions were constrained by the P level, with the highest N2O and CO2 emissions associated with P-limited and P-enriched soils, respectively (Fig. 3a–d). These results indicate that P limitation or enrichment can play an essential role in determining N2O and CO2 emissions in grassland ecosystems. While N fertilization, through increasing soil NO3 and NH4+ concentrations, provided the substrates for nitrifiers and denitrifiers for N2O production (Fig. 1), the addition of C may have promoted microbial mineralization of C from these substrates or from soil organic C pools. These findings support our first hypothesis that C + N addition in P-limited soil increases N2O production and the second hypothesis that C mineralization is increased at higher soil P levels.

### Differences in N2O emissions at different P levels

The differences in the N2O emission are most likely to be associated with induced differences in the composition, activity and/or diversity of microbial communities in relation to different P levels. Our results suggest the greater N2O emission in P-limited soils (Fig. 3a,c) may be associated with higher abundances of arbuscular mycorrhizal fungi (AMF), as indicated by higher levels of glomalin (Table 2), and this may be partially responsible for the difference in N2O emissions. The high levels of AMF may have decreased the relative abundance of denitrifying organisms that are capable of reducing N2O into N228, leading to higher N2O emission in P-limited plots. Glomalin is regarded as a metabolite of AMF, and its concentration is largely associated with the abundance of the AMF hyphae39,40. In this study, greater concentrations of glomalin were detected in P0 than P15 and P45 treatments indicating that AMF are more pronounced in plots with lower soil P availability. Typically higher MBC in P0 than P15 and P45 in both sites suggest that more carbon could be immobilized by microorganisms (Fig. 4). This may also be indicative of higher abundances of arbuscular mycorrhizal fungi. The significant correlations between daily N2O fluxes and MBP and MBC (Table 3) and between cumulative N2O emissions and glomalin content (Table 4) support the argument that microbial acquisition of C and P as well as AMF abundance were related to production of N2O. Arbuscular mycorrhizal fungi are recognized for their greater C assimilate demand and sink strength and thus may have had a role in the differences observed in MBC21,44,45. Owing to the ability of AMF to acquire immobile soil P and trade P for plant growth; they form mutually beneficial relationships with their host to satiate their C demand in P-limited soils20. This is in line with previous evidence that showed enhanced AMF colonisation was observed at low P in the experimental plots at Site A10,24. Recent findings of Okiobe et al.28 showed a strong influence of AMF presence on promoting potential N2O production via an increase in hyphal density and via enhanced water stable soil aggregates, indicating possible lack of N2O reductase in the denitrification process. However, there are earlier studies that reported contrasting results where AMF reduced N2O emissions as a result of reduced soil NH4+ availability because of enhanced transport of NH4+ by AMF to the host plant26,27. Our observations showed adequate availability of NH4+ following the C + N application (Fig. 1a,b), thus we can deduce that N2O may not be reduced as there was surplus substrate to facilitate denitrification.

The peak N2O emissions (Fig. 3a) coincided with higher WFPS, which was above 80% at the time of fertilization (Fig. 2). Higher WFPS coupled with higher available C, being served as donor electron to the denitrifiers could have stimulated denitrifying microorganisms via enhanced anaerobic conditions. While this could be true for all P treatments, the varying magnitude of N2O emissions could have resulted partially from the indirect effect of variable heterotrophic respiration due to differences in P availability. High P has been found to impede heterotrophic respiration in grassland ecosystems16,17. Similarly, O’Neill et al.29 showed higher heterotrophic respiration in the low P than high P in an incubation experiment conducted in the same experimental site utilizing sieved soils with no plant respiration component. Lowering of soil O2 concentration as a result of heterotrophic respiration might have promoted more suitable denitrifying conditions in the P-limited soils leading to higher denitrification-derived N2O production.

The significant positive correlations between NH4+ and NO3 and N2O emissions (Table 3) suggest that N2O fluxes depend on the amount of mineral N available in the soil. However, the high N2O emission observed in site B (Fig. 3a) in all corresponding treatments might be associated with the higher soil NH4+ (Fig. 1a,b), particularly evident following the second C + N addition event when the NH4+ concentration at site B was approximately double the amount in site A. It is subsequent to the second application where the greatest differences and the highest cumulative N2O emissions occurred (Fig. 3c). Optimum soil moisture conditions (Fig. 2) and sufficient availability of NH4+ might have formed more conducive conditions for nitrification in site B. Certainly, denitrification-related N2O emission could also be stimulated because equally high NO3 concentrations (Fig. 1c,d) were detected in site B. Approximately equal correlation of N2O flux with NH4+ and NO3 (Table 3) indicate that both nitrification and denitrification can be important pathways of N2O emissions in the two sites. Microbial parameters including MBN, MBC, and MBP showed significantly lower values in site B (Fig. 4) that might suggest that more immobilization of N appears to occur in site A (Fig. 4). These microbial biomass differences might also suggest disparities in the microbial community between the two sites where a subset of the microbial group could have inherently different N-transformation pathways towards regulating N2O production. Unexpectedly, the PDA at site A for P0, P15, and P45 was 1.7, 0.9, and 1.4 times that of site B, respectively (Table 2), confirming the presence of different genetic capacity to denitrify and also suggesting higher PDA does not necessarily guarantee higher N2O emission in the field. Potential denitrification was related to soil C and N (Table 4), which are significantly higher in site A than site B (Table 1). Climate parameters may have a diminishing role in explaining site differences due to that the two study sites are proximate, and have been under identical management practices. WHC in site A was higher than site B (Table 1). Wang and Cai46 observed increasing N2O production with increasing WHC.

The soil P level and its effect on greenhouse gas quantifications are usually unaccounted for in almost all ecosystems. This is one of the few field studies demonstrating the relationship between C, N, and P, and the impact on N2O emissions from grassland ecosystems. Nonetheless, further studies on the long-term interaction of C, N, and P in multiple ecosystems (soil) types under natural conditions are needed to critically appraise the influence of contrasting P fertilization on N2O and CO2 emissions. To expand our insight into the role of soil P in ecosystem N cycling, future studies should focus on revealing the effect of variable P content on N transformation pathways, and their linkage to microbial community and specific functional genes. Understanding the effect of soil P on N2O emissions may pave the way forward to an optimised use of P and N as mitigation measures that both underpins food security and reducing greenhouse gas emissions.

### Effect of C + N addition on CO2 emissions

Unlike the N2O emissions, P-enriched plots, relative to the low P, showed greater CO2 emission following C + N addition in the long-term grassland sites (Fig. 3d). These variations could be due to the enhancement of autotrophic (root) respiration caused by P availability in the P-enriched plots16 and reduced presence of AMF in these plots. Several studies reported increased soil respiration in response to P addition16,47,48 because of the stimulating effect of P on aboveground and belowground biomass16,48. Higher aboveground plant biomass was generally observed in the P-enriched plots (Table 2) supporting the inference that net primary production and hence autotrophic respiration was higher at high P, which is supported by the positive correlation between cumulative CO2 emission and dry matter yield (Table 4) with a proposition that above- and below-ground biomass follow an isometric pattern. Ren et al.16 found an annually increasing trend in root biomass and concurrently increasing autotrophic respiration induced by P fertilization in a 4-year field study in an alpine grassland. In a study performed in vivo, Del-Saz et al.49 showed a decrease of root respiration via alternative respiratory pathways resulting from decreasing root exudation of carboxylates such as citrate and malate as a result of AMF colonization, which is typically initiated by P-deficiency. This demonstrates the effect of P availability on respiratory pathways, hence soil respiration. Phosphorous plays an important role in the synthesis of nucleic acid and membrane, and enzymatic activations, and sufficient P could have supported specific root respiration23. However, aboveground plant respiration can also significantly contribute to the total ecosystem respiration in grassland ecosystems50. We found no relationship between CO2 emissions and WFPSs and temperature in the two sites (Table 3).

Arbuscular mycorrhizal fungi are capable of acquiring considerable amount of N and P from soil by expanding the surface area of the root system and transport these nutrients to their host plant in exchange for photosynthetically-fixed carbon20. The higher glomalin concentration at the P0 (Table 2) indicated higher AM-related C input into soil, which is demonstrated by the positive relationship between glomalin and soil carbon in Table 4. This contributes to macro-aggregate formation and SOM stabilisation51. The positive relationship between GRSP and soil carbon in this study is in line with previous findings52,53,54 where positive contributions of glomalin to maintaining the soil carbon pool have been reported. Clemmensen et al.52, in their study on boreal forests, using a combined technique of pyrosequencing of DNA-barcodes and isotopes, identified root-related fungi as important regulators of ecosystem C dynamics. Zhang et al.55 showed the regulatory power of AMF on soil respiration as AM inhibition resulted in accelerated soil respiration due to increased availability of root-exudated carbohydrate to other microbes in the rhizosphere. These findings, together with ours, suggest that AMF may influence soil C dynamics by increasing SOC recalcitrance either via aggregation or increasing decomposition resistant C species (glomalin, chitin, etc.). This argument is supported by the significant negative correlation between glomalin and cumulative CO2 emission (Table 4), such that long-term plant fungi partnership at P0 has increased aggregate stabilization of C via glomalin, causing reduced CO2 production. Greater allocation of biomass to roots delivers C to the soil and the greater the depth that rooting occurs, the lower the decomposition due to low redox potential. This can lead to the conclusion that AMF-derived C contributes more to the stable soil C pool than the carbon derived from aboveground dry matter yield (Table 2). Aboveground biomasses in P15 and P45 plots were greater than P0 (Table 2). This is obviously due to a change in C:N:P stoichiometry caused by variable phosphorous supply. In the P0 plots, where there is a limited supply of P, plants form nutritional symbiosis leading to high C-nutrient exchange with AMF, whereas in the P-rich plots such symbiotic relationship is eliminated or reduced due to the repeated N and P fertilization. Where N and P are sufficiently available, plants invest less in mycorrhizas and AMF, instead adjusting C allocation to the aboveground biomass20,23. Therefore, these results underscore the need to account for soil C sequestration and C fixation by plants, in addition to CO2 fluxes, in order to assess the impact of phosphorus fertilization on C balance of grassland ecosystems and suggest mitigation options, which is achieved through evaluation of changes in SOC over an extended time and assessment of net ecosystem exchange.

## Conclusions

Soil P plays an important role in determining N2O and CO2 emissions under equivalent C + N conditions. This is the first field study that shows a significant effect of differing soil P levels on the two major greenhouse gases such as N2O and CO2 in temperate grassland ecosystems. Higher N2O emission was observed in P-limited soils whereas P-enrichment enhanced CO2 emissions in the two permanent grassland ecosystems. P fertilization can reduce N2O emissions derived from N-fertilization but increase CO2 emissions.. These findings are important in informing effective management strategies to agronomic practices underpinning an optimized use of N and P as mitigation measures for both food security and reducing greenhouse gas emissions. Furthermore, our findings highlight the need for representation of P in process-based land models with its effect on the dynamics of greenhouse gases in terrestrial ecosystems. Future studies may reveal how the interaction of C and N with P affect specific N-transformation pathways, C sources of mineralization, and microbial communities and their functional traits in these ecosystems.

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## Acknowledgements

This work was inspired by the vision and work of Dr Noel Culleton who established the long-term soil phosphorous trial. This research was financially supported under the National Development Plan, through the Research Stimulus Fund, administered by the Department of Agriculture, Food and the Marine (Grant number 15S655). We would like to thank John Murphy for his relentless work on the long-term trials and technical assistance in the running of this experiment, and Gareth Gillen and Denis Brennan for analysing gas and soil samples.

## Author information

Authors

### Contributions

K.R. and G.L. were the principal investigators for the project funding. A.G., K.R., D.K., D.W., R.O., and F.B. designed the experiment. A.G. setup the experiment and conducted measurements. A.G. and K.R. drafted the original manuscript text. All authors reviewed and edited the manuscript.

### Corresponding authors

Correspondence to Amanuel W. Gebremichael or Karl G. Richards.

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Gebremichael, A.W., Wall, D.P., O’Neill, R.M. et al. Effect of contrasting phosphorus levels on nitrous oxide and carbon dioxide emissions from temperate grassland soils. Sci Rep 12, 2602 (2022). https://doi.org/10.1038/s41598-022-06661-2

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• DOI: https://doi.org/10.1038/s41598-022-06661-2