Published in Soil Sci. Soc. Am. J. 68:1610-1615 (2004).
© 2004 Soil Science Society of America
677 S. Segoe Rd., Madison, WI 53711 USA
DIVISION S-3SOIL BIOLOGY & BIOCHEMISTRY
Soil Respiratory Quotient Determined via Barometric Process Separation Combined with Nitrogen-15 Labeling
Christoph Müllera,*,
M. Kaleem Abbasia,
Claudia Kammanna,
Tim J. Cloughb,
Robert R. Sherlockb,
R. James Stevensc and
Hans-Jürgen Jägera
a Dep. of Plant Ecology, Univ. of Giessen, Heinrich-Buff-Ring 26-32, 35392 Giessen, Germany
b Soil, Plant and Ecological Sciences Division, Soil and Physical Sciences Group, P.O. Box 84, Lincoln Univ., Canterbury, New Zealand
c Agriculture, Food and Environmental Science Division, The Dep. of Agriculture and Rural Development, Newforge Lane, Belfast BT9 5PX, Northern Ireland, UK
* Corresponding author (Christoph.Mueller{at}bot2.bio.uni-giessen.de)
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ABSTRACT
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The barometric process separation (BaPS) and 15N dilution techniques were used to determine gross nitrification rates on the same soil cores from an old grassland soil. The BaPS-technique separates the O2 consumption into that from nitrification and that from soil organic matter (SOM) respiration. The most sensitive parameter for the calculations via the BaPS technique is the respiratory quotient (RQ =
CO2/
O2) for SOM turnover (RQSOM). Combining both methods (BaPS15N) allowed the determination of the RQSOM. The RQ value determined in such a way is adjusted for the influence of nitrification and denitrification, which are both characterized by totally different RQ values. The results for the grassland soil showed that 6 to 10% of O2 was consumed by nitrification when incubated at 20°C and 0.49 g H2O g1 soil. A set of BaPS measurements with the same soil at various temperature and moisture contents showed that up to 49% of the total O2 consumption was due to nitrification. The calculated RQSOM values via the BaPS15N technique presented here are more closely associated with the overall SOM turnover than the usual net RQ reported in the literature. Furthermore, the RQSOM value provides an overall indication of the decomposability and chemical characteristics of the respired organic material. Hence, it has the potential to serve as a single state index for SOM quality and therefore be a useful index for SOM turnover models based on substrate quality.
Abbreviations: aut/(aut + het), ratio of autotrophic to total nitrification BaPS, barometric process separation BaPS15N, combined barometric process separation15N labeling technique RN-ratio, total mole CO2 produced per mole of N nitrified RQ, respiratory quotient RQnet, total mole O2 uptake per mole CO2 respired (
CO2/
O2) RQSOM, RQ related to SOM turnover SOM, soil organic matter
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INTRODUCTION
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THE RQ in soil is defined as the ratio of mole O2 uptake per mole CO2 respired (
CO2/
O2). In aerobic soils the measured RQ value is usually in the range of 0.6 to 1.0 (Andersen and Scagel, 1997; Klein, 1977). The RQ value is frequently higher than 1.0 (Dilly, 2001) under anaerobic conditions, when alternative electron acceptors are available (e.g., NO3) or shortly after substrate (e.g., glucose) addition stimulating microbial growth. In general, the RQ decreases as the C/O ratio in the components being metabolized increases (e.g., mineralization of humic acids has a RQ of 0.909; Dilly, 2001). A RQ value of 1.0 is obtained only under conditions when the respired C substrate has a chemical composition comparable with that of glucose (Dilly, 2001). Therefore, the RQ value of metabolized SOM in soils provides an indication of the substrate utilization. The observed temporal variations in RQ values under field conditions are associated with variations in substrate utilization patterns (Dilly, 2001), the microbial community structure (e.g., proportions of bacteria to fungi) (Klein, 1977) and abiotic factors such as soil moisturetemperature relationships (Klein, 1977; Scagel and Andersen, 1997).
In all previous studies the net RQ (RQnet) is measured rather than the exact RQ resulting from SOM turnover (RQSOM) alone. The RQnet integrates the effects of all microbial transformations that consume O2 and consume or produce CO2. For instance, denitrification utilizing NO3 instead of O2 increases the overall RQnet when occurring in anaerobic microsites within the surrounding aerobic soil. Autotrophic nitrification, however, decreases the RQnet because it takes up O2 and CO2 according to a ratio of 1.68 moles of O2 to 0.23 moles of CO2 (Ingwersen et al., 1999). In particular the effect of nitrification in lowering the RQ value might be considerable but in most cases it is not taken into account (Dilly, 2001).
To investigate the relationship between nitrification and RQ values, both the gross nitrification rates as well as the O2 and CO2 dynamics have to be determined. The BaPS technique for determination of gross nitrification rates combines all of these requirements and is therefore ideally suited for such an analysis (Ingwersen et al., 1999; UMS, 2003). The BaPS technique requires specifications of soil and microbial parameters that are readily available (e.g., pH, soil moisture) but also more specific parameters that are usually not known such as: (a) the ratio of N2O/N2 during denitrification, (b) the ratio of autotrophic/heterotrophic nitrification, and (c) the RQ during soil respiration (default RQ value used in the calculations is 1.0). Sensitivity analyses showed that Parameters a and b have only a minor influence, but small changes in the RQ value have a large effect on the calculated gross nitrification rates (Breuer et al., 2002; Ingwersen et al., 1999). Therefore, a cross-comparison of the BaPS results with an independent method for gross nitrification rate determination is needed. In addition, such a cross-comparison would provide a basis for accurate setting of the Parameters a through c needed for the BaPS calculations. The most widely used method to determine gross nitrification rates in soil is the 15N dilution technique (Stark, 2000). Furthermore, specific 15N labeling techniques exist to derive ratios of autotrophic/heterotrophic nitrification (Müller et al., 2004) and ratios of N2O/N2 (Stevens and Laughlin, 1998) in soil.
The aim of this study was to determine the effect of nitrification on RQs following fertilizer application and to derive RQ values related to SOM turnover in soil.
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MATERIALS AND METHODS
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Experimental Setup
Undisturbed soil cores (on average 224 g dry soil per core) were taken from the top 50 mm of an old grassland soil (organic C 6.6%; pH 6.2) near Giessen, Germany. The soil is classified as a Fluvic Gleysol with a texture of sandy clay loam over a clay layer. The site and soil, as well as the experiment where BaPS field measurements have been performed (see below), are described in more detail by Jäger et al. (2003). Eighteen soil samples were collected in 250-mL stainless steel rings (height of 50 mm, diameter of 80 mm) on 8 Apr. 2003 and incubated (field moisture, 20°C) for 5 d. The cores were sealed in parafilm with pinholes for gas exchange to minimize water loss but allow aeration. Nitrogen was applied to each soil core on 14 Apr. 2003 at a rate of 40 µg N g1 of dry soil in a total of 10.5 mL divided among the three soil depths per core using a seven-needle applicator to assure an even distribution of the applied N. The application increased the NH+4 and NO3 concentrations from typical background concentrations of 1.0 and 0.6 µg N g1 dry soil to 13.9 and 23.2 µg N g1 dry weight, respectively. The N source was NH4NO3 with a 60 atom% 15N excess enrichment on the NO3. The soil moisture over the entire measurement period was on average 0.49 ± 0.04 g H2O g1 dry soil.
Analytical Procedures
Measurements with the BaPS- and the 15N-technique were performed at 1.4, 22.5, and 69.9 h after N application. At each measuring time, three 250-mL cores were placed in the BaPS incubation vessel and incubated at 20°C for periods of up to 6 h (Ingwersen et al., 1999). At the end of each measuring period three 12-mL gas samples were taken from the headspace of the BaPS unit and analyzed for N2O and N2 concentrations and their 15N enrichments (Stevens et al., 1993). At the same time as the BaPS measurements commenced, separate soil cores were extracted with 2 M KCl (each 200 g fresh soil) using the procedure described by Stevens and Laughlin (1995). The cores from the BaPS measurements were extracted in an identical manner immediately after the incubation. The KCl extracts were analyzed for concentrations of NO3 after reduction to NO2 in a Cd column by a manual photometric method (Schlichting et al., 1995). The NO3 concentrations were corrected for the NO2 concentrations. The 15N contents of the NO3 in the extracts were determined by a method based on their conversion to N2O (Stevens and Laughlin, 1994). All gas samples were analyzed using automated continuous-flow isotope mass spectrometry (PDZ-Europa, Crewe, UK).
Gross Nitrification Calculations
The determination of the gross nitrification rate via the BaPS-technique was performed with the BaPS software (UMS, Version 1.9.8). The ratio of N2O/N2 was set to 1.0, which was close to the observed ratio of 1.4 at 22.5 h and 1.0 at 69.9 h (see below). The ratio of autotrophic to total nitrification [aut/(aut + het)] was set to 0.5 because this was close to the observed ratio in a separate experiment performed on the same soil (Müller et al., 2004). The RQ was left at the default value of 1.0. The gross nitrification rates were calculated via the "regression analysis" option. With this option it is possible to select the data within a user-defined range over which regressions are calculated and subsequently used in the calculations. The BaPS software determines a single rate integrated over the three cores enclosed in the BaPS unit. The error of the calculated mean nitrification rate is based on errors in the inputs (soil and headspace volume, soil weight, water content, pH), uncertainties in the special parameters (N2O/N2, aut/(aut + het), RQ) and sensor uncertainties (O2, CO2, pressure, and temperature sensors) (UMS, 2003). Therefore, it is difficult to compare the error associated with the BaPS-derived rates with standard deviations (sd) calculated using data from actual repetitions. While the BaPS-technique calculates errors based on error propagation of all single possible error sources this is usually not done for replicated measurements.
The gross nitrification rates determined by the 15N dilution technique were calculated for the same time periods over which the BaPS measurements were performed. For this calculation the NO3 concentrations and 15N enrichments obtained from the soil analysis at the beginning and just after each BaPS measurement were required (two-point method). The calculations were based on the model by Kirkham and Bartholomew (1954) that calculates nitrification and N immobilization rates according to zero-order kinetics. In the original Kirkham and Bartholomew model, immobilized mineral N does not enter the organic N pool, that is, the mineralizing N pool stays at natural abundance. We modified the model so that immobilized N enters the organic N pool and therefore allows for remineralization of immobilized N. Two N pools, a natural abundance and a labeled NO3 pool were considered. The natural abundance pool was not divided into an NH+4 and an organic N pool and therefore the calculated nitrification rate is the combined heterotrophic and autotrophic nitrification, that is, the same as the BaPS-output. The model was set up in the software ModelMaker (Family Genetix, Reading, UK) and the zero-order rate constants were optimized using the Marquardt-Levenberg algorithm with the "reasonable error" option based on observed standard deviations (Müller et al., 2004). The model outputs an average rate with a realistic error estimate. The optimization was performed separately for the three observation periods.
Barometric Process Separation Measurements at Field Conditions
Barometric process separation measurements were performed on several occasions during 20012003 within 3 to 5 d (per occasion) on a set of three cores from 0- to 5-cm depth taken from the control rings of the Giessen Free-Air Carbon dioxide Enrichment (FACE) Experiment (Jäger et al., 2003). The undisturbed cores were incubated in the BaPS unit for about 5 to 12 h under ambient field soil moisture and average field temperatures at the time of sampling. Barometric process separation measurements were performed in November 2001, March, May, July, and November 2002, and in May and July 2003, under various soil moisture (range: 0.13 0.65 g H2O g1 dry soil) and temperature conditions (range 823.5°C). The RQ was set to 0.90 for the calculation of gross nitrification rates via BaPS (for further explanation see below Results and Discussion section Respiratory Quotient Values and Their Relationship to Nitrification Rates).
Respiratory Quotient Determination
Using the gross nitrification rates obtained from the 15N dilution technique as a guide for the BaPS measurements, it was possible to calculate the RQ for soil respiration by keeping all settings the same but adjusting the RQ and the ratio aut/(aut + het) in the "special parameter" options of the BaPS software. The ratio aut/(aut + het) was taken from a separate experiment performed with the same soil and set to 0.92 at 1.4 h, 0.853 at 22.5 h, and 0.762 at 69.9 h after N application (Müller et al., 2004). In the separate experiment autotrophic and heterotrophic nitrification were determined after the application of NH4NO3 where the NH+4, the NO3 or both moieties were labeled with 15N. A 15N-tracing model was developed and applied to the data set obtained from this grassland soil to quantify gross N transformation rates. The model was only successful when autotrophic and heterotrophic nitrification (i.e., N transformation from organic N to NO3) was considered (Müller et al., 2004).
The RQ parameter in the current study was adjusted for each observation so that the BaPS-calculated nitrification rates agreed with the rates obtained from the 15N technique. Slight discrepancies between the calculated gross nitrification rates via BaPS and the 15N method may occur because the BaPS software only allows the input of RQ value with a maximum of two decimal places. Furthermore, the BaPS software used for this analysis does not have the option to use gross nitrification rates as input parameters; therefore, the easiest way to determine RQ values was the use of the manual adjustment procedure.
The combination of both techniques is referred to as BaPS15N method. In addition, the RQnet values were determined by using the uncorrected
CO2/
O2 mole fractions from the BaPS output (Table 1), that is, the values that would normally be used to calculate the RQ value.
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Table 1. Respiratory quotient values determined by the barometric process separation (BaPS) technique (RQnet) and by the combined BaPS15N technique (RQSOM) at three times after N application to a grassland soil incubated at 20°C.
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RESULTS AND DISCUSSION
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Nitrification Rate and Respiratory Quotient Values for Soil at 20°C
Without adjustment of the RQ values, the BaPS method calculated gross nitrification rates ranging from 387 to 448 µg N kg1 h1. These rates were 1.5 to 2.5 times higher than those determined by the 15N dilution technique (Fig. 1). The nitrification rates determined using the 15N method (160220 µg N kg1 h1) agreed well with nitrification rate of 202 µg N kg1 h1 observed in this soil after N application in a previous study (Müller et al., 2004) and observations from other comparable old grassland ecosystems (Stockdale et al., 2002; Watson and Mills, 1998). The errors associated with the two methods cannot be compared due to the different methods for calculating error (see Materials and Methods above).

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Fig. 1. Gross nitrification rates [avg ± standard deviation(15N) or ±error (BaPS)] determined by BaPS and the 15N dilution techniques (using the default value for the respiratory quotient, RQSOM, of 1.0) for soil incubated at 20°C (the error calculated by BaPS is based on error propagation instead of standard deviation, see Materials and Methods above for further explanations).
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Adjusting the aut/(aut + het) parameters for the BaPS calculations lowered the gross nitrification rates by only 4 to 6%. Only through the adjustment of the RQ to 0.91 at 1.4 h, 0.92 at 22.5 h and 0.88 at 69.9 h after N application was it possible to lower the BaPS-calculated nitrification rates to the rates determined with the 15N technique (Fig. 2). The rates of CO2 respired and O2 consumed at the three measuring times are presented in Fig. 3. The results from the BaPS measurements show that 6 to 10% of the total O2 consumption in the grassland soil was related to nitrification activity (Fig. 3).

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Fig. 2. Gross nitrification rates [avg ± standard deviation (15N) or ±error (BaPS)] determined by the 15N dilution technique and by the BaPS technique after adjustment of aut/(aut + het) ratio with measured ratios and optimization of the respiratory quotient (RQSOM) for soil incubated at 20°C.
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Fig. 3. Carbon dioxide respiration and O2 consumption by the SOM and nitrification at the three measurement times after N addition to soil incubated at 20°C.
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Respiratory Quotient Values and Their Relationship to Nitrification Rates
The RQ values calculated on the net molar change of CO2 and O2 (i.e., net
CO2/
O2) differed between 0.08 and 0.11 (i.e., up to 14% on the basis of RQnet) compared with the RQSOM values determined with the BaPS15N method (Table 1). To assess the influence of CO2 production and nitrification on the differences between RQSOM and RQnet, we used data from the same soil obtained over a period of more than 2 yr where the BaPS technique had been used under various soil moisture and soil temperature conditions. Since all of the measurements at field conditions were performed during times when the mineral N concentrations were low or at typical background values, the RQSOM value determined toward the end our BaPS15N study at 20°C was used for the calculations (i.e., when mineral N concentrations had decreased toward the end of the incubation period the RQSOM approached a value of 0.90). The relative difference between RQSOM and RQnet values, as presented in Table 1 for soil at 20°C, was calculated for soil at field conditions and related to the ratio of moles CO2 produced per moles of N nitrified, (the RN-ratio; Fig. 4). For field conditions, RQ differences up to 37% were observed which were associated with an O2 consumption by nitrification of 49% of the total O2 uptake (i.e., calculated as µmol O2 consumption during nitrification in percentage of total µmole of O2 consumption; Fig. 4). The best fit for the data in Fig. 4 was a first-order model (r2 = 0.97; Eq. [1]).

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Fig. 4. Relationship between the difference of RQSOM RQnet expressed as a fraction of RQnet and the ratio of total soil CO2 production to gross nitrification from BaPS measurements performed on the same grassland soil at field conditions between 20012003.
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where
RQdiff min = minimum RQ-difference (mol CO2 mol1 O2) {0.0593601}; RN = mole CO2 produced per mole of N nitrified (mol C mol1 N); and a, b = fitted parameters {0.416891; 0.135053.}
The model (Eq. [1]) indicated exponentially increasing relative differences with decreasing RN-ratios, that is, the error in assuming that RQSOM is represented by the RQnet value rises exponentially when the gross nitrification increases and the CO2 production decreases. Rearranging Eq. [1] would allow for the determination of the RQSOM value if the RN ratio and the RQnet values were known.
The theoretical effect of varying gross nitrification rates on RQSOM in the 0 to 600 µg N kg1 h1 range was simulated for the three observation periods when soil was incubated at 20°C. The calculated values depended on the nitrification rate and varied between 0.8 and 1.15 (Fig. 5). Furthermore, the relationships between nitrification rate and RQSOM were different at different times after N application. In particular, the relationship shortly after N application (1.4 h) appeared to be different from the relationships at 22.5 and 69.9 h (Fig. 5).

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Fig. 5. The influence of gross nitrification rates on the calculated respiratory quotient (RQSOM) of the barometric process separation calculations at 1.4, 22.5, and 69.9 h after N application to soil incubated at 20°C (regression lines are in the form of a quadratic equation: Y = a + bx + cx2).
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The importance of the RQ value on the exact calculation of gross nitrification using the BaPS technique has recently been shown by Breuer et al. (2002) working on intact cores from tropical rainforest soil in Australia. They used an iterative procedure to determine the RQ value. However, this procedure could only be used for a RQ range of 0.95 to 1.05 because outside this range the error in the nitrification rate was too large (Breuer et al., 2002). Here we show that RQ values in the old grassland soil were always below 0.95 and therefore unsuitable for such an iterative procedure. The slight increase in the RQ value 1 d after N application and subsequent reduction found in this study is in line with observations by Dilly (2001)(2003). However, the studies by Dilly applied C substrates to relate the observed RQ to the substrate utilization dynamics. Other research has indicated that N applications increase the easily metabolizable C in grassland soil (Loiseau and Soussana, 1999) and stimulate C transformations within 24 h after N application but not in the long-term (Smith et al., 1989). Therefore a short-term increase in metabolizable C substrate followed by its subsequent consumption may have been responsible for the observed RQSOM dynamics. This agrees with studies that have found lower RQ values when more reduced organic substrates were metabolized (Klein, 1977). The different RQ dynamics are also reflected in the different RQ-nitrification rate relationships depending on the time after N application (Fig. 5). The differences in the observed dynamics may reflect the influence of different mineral N concentrations on nitrifier dynamics in soil. In particular, shortly after NH+4 supply, the NH+4 oxidizers may be more active and show different dynamics than during other times (Fig. 5).
Denitrification Rate Calculated by the Barometric Process Separation Technique
At 22.5 h after N application the headspace of the BaPS unit contained 6.7 µL L1 N2 derived from the labeled pool and 9.5 µL L1 N2O (N2O/N2 = 1.4). At 69.9 h after N application, the headspace contained 2.9 µL L1 N2 and 3.0 µL L1 N2O (N2O/N2 = 1.0). On both occasions the N2O was enriched to 35.9 and 24.6 atm% 15N, respectively. Therefore, denitrification was occurring during BaPS incubations. However, the BaPS output showed, in all cases, a negative (set to zero) denitrification rate. Obviously, the calculation procedure for denitrification which is performed via the CO2O2 gas balance in the system (Ingwersen et al., 1999) produced erroneous results. However, this problem is only of minor importance compared with the large influence of differing RQ values on the nitrification rate calculation.
Using the Barometric Process Separation Method to Determine Gross Nitrification Rates
Our study showed that the BaPS method without the adjustment of the parameters that are needed for the calculations, in particular the RQ value, does not accurately calculate the gross nitrification rates. To obtain accurate nitrification rates we recommend cross-calibrating the BaPS with the 15N technique for every soil. Since the RQ values change with time after N application (Table 1) the cross-comparison should be performed over the anticipated range of mineral N concentrations. Furthermore, substrate characteristics change over time (Klein, 1977) and therefore, it would be ideal to carry out the cross-calibration during all seasons per year. To further increase the accuracy of the BaPS calculations, a cross calibration with a double labeling approach (15NH+4 and 15NO3) is recommended because this also allows the determination of the aut/(aut + het) ratio (Müller et al., 2004). However, variation in this ratio has only a minor influence on the determination of the gross nitrification rates by BaPS compared with the variation in the RQ value (Breuer et al., 2002; Ingwersen et al., 1999).
Method to Determine Respiratory Quotient of Utilized Soil Organic Matter
Application of the BaPS15N technique determines RQSOM values that are closely associated with the SOM turnover in soil because processes such as nitrification and denitrification, which influence the RQ value, are taken into account. Earlier studies were not able to estimate the O2 uptake derived from nitrification and reported only RQnet values that may have little to do with the actual substrate utilization dynamics as mentioned by Dilly (2003). The RQSOM value is associated with the oxidation state of the substrate and therefore provides an indication of how easy it can be metabolized (i.e., decreasing RQSOM values indicate that the substrate is more difficult to metabolize). Therefore, the RQSOM value for SOM turnover can serve as an indicator for SOM quality status in soil. In general, the SOM quality is assessed by the abundance of certain SOM fractions (Feng, 2002). However, the RQSOM value reported here may serve as a single index parameter of the overall SOM quality status of a system. It can easily be determined via BaPS15N, be assessed under various N application and management practices, and measured during the full range of field conditions throughout the year. Such an index may serve as a quality-indicator in SOM-turnover models, which are based on the quality-theory (Q-theory) (Ågren and Bosatta, 1996; Bosatta and Ågren, 1991; Hyvönen and Ågren, 2001).
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CONCLUSIONS
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The combination of the BaPS and 15N technique to determine gross nitrification rates allowed us to derive respiratory quotients of SOM turnover (RQSOM) for an old grassland soil. Processes such as nitrification and denitrification may have a substantial impact on the observed net RQ value. The RQSOM value derived with the BaPS15N method is much more closely related to the actual SOM turnover. The resulting RQSOM value may serve as a single indicator of the overall SOM quality status of an ecosystem. If the correct parameters for the BaPS calculations, such as the RQ value, are determined, (e.g., via cross-calibration with the 15N dilution technique), the BaPS method provides a quick and easy-to-apply technique to assess gross nitrification and soil respiration rates in ecosystems studies where no additional N input is desired.
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ACKNOWLEDGMENTS
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We thank the UMS GmbH München for providing us with a specially designed measuring unit that enabled us to carry out the BaPS15N measurements. Thanks to Roger Cresswell for the 15N analysis. We are grateful to Oliver Dilly for his detailed comments on an early draft of this manuscript.
Received for publication November 10, 2003.
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