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Carbon budget study using CO

2

¯ux measurements

from a no till system in central Ohio

S.W. Duiker, R. Lal

*

School of Natural Resources, Ohio State University, 2021 Coffey Road, Columbus, OH 43210-1085, USA

Received 11 March 1999; received in revised form 12 August 1999; accepted 25 November 1999

Abstract

Enhancing carbon sequestration in soil is an important means to reduce net emissions of carbon dioxide (CO2) to the

atmosphere. The soil organic carbon (SOC) pool is the net result of carbon (C) input in the form of crop residue and biomass, and output including CO2¯ux and other losses. The objectives of this study were to: (1) determine the in¯uence of known

additions of crop residue in a no till system on CO2¯ux measured with the static chamber alkali-absorption method, and (2)

calculate the C budget from the CO2¯ux and C added in crop residue. The experiment was started on a Crosby silt loam

(Stagnic Luvisol) in 1989. Annually 0, 2, 4, 8 and 16 Mg haÿ1

wheat straw (Triticum aestivum L.) was applied. Noon soil temperature and daily CO2¯ux were determined in 1997. Residue application rate had a signi®cant impact on soil temperature

as measured at noon, especially early in the growing season. Noon soil temperature was up to 148C higher under unmulched compared with that of mulched treatments. Measured CO2¯ux ranged from 0.4 to 4.2 g C m

ÿ2per day. Differences in CO 2

¯ux between crop residue treatments were not signi®cant on most sampling dates, probably due to the presence of undecomposed residue in the soil which did not contribute to the CO2¯ux, and to variability in sampling. Average daily soil

temperature at 5 cm depth determined on a nearby weather station explained 60% of the variation in CO2¯ux from bare plots.

The C budget calculated from CO2¯ux measurements indicated a net depletion of SOC in all treatments. However, measured

SOC contents indicated an increase of SOC over time in some treatments. It is likely that the annual CO2¯ux measured with

the static chamber alkali-absorption method is overestimated due to omission of CO2measurements when soil water content is

high, and perhaps other, as yet unknown factors. A comparison of the static chamber technique and improved dynamic chamber techniques and micrometeorological methods is recommended.#2000 Elsevier Science B.V. All rights reserved.

Keywords:Carbon dioxide; Greenhouse effect; Mulching; Soil respiration; Static chambers; No till

1. Introduction

Carbon (C) sequestration in soils is gaining increas-ing acceptance as a means to reduce net carbon dioxide (CO2) emissions to the atmosphere. Usually,

the soil organic carbon (SOC) sequestered is measured directly by dry or wet combustion. The C sequestered in the soil can also be calculated if the C input from crop residue and other sources is known and the amount of C released as CO2 is measured. The net

C sequestration equals the C input (e.g. crop residue) minus the C output (C released as CO2), assuming that

losses due to erosion and leaching are negligible. Information on temporal changes in CO2¯ux during *Corresponding author. Tel.: ‡1-614-292-9069; fax: ‡

1-614-292-7432.

E-mail address: lal.1@osu.edu (R. Lal).

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the year could indicate which management practices would minimize CO2evolution. To be able to use this

approach, a suitable method to measure CO2¯ux is

needed. Five techniques can be distinguished (De Jong et al., 1979): (1) the soil CO2pro®le method, in which

CO2concentration in soil air is measured at different

depths; (2) the dynamic chamber method, in which the CO2concentration of air ¯owing in and out of a soil

chamber is compared; (3) a micrometeorological method above a canopy; (4) a micrometeorological method within a canopy; (5) the static chamber method using the alkali-absorption method. De Jong et al. (1979) reported that the alkali-absorption and the micrometeorological method measuring CO2

concen-trations above a canopy gave the best results. The principal dif®culty with the soil CO2pro®le method is

the estimation of the CO2diffusion coef®cient, which

is virtually impossible to assess in wet soils. The dynamic chamber method can give low or high values, depending on an increase or decrease in air pressure in the chamber. Kanemasu et al. (1974), for example, observed a 40% difference in measurements using the dynamic chamber method due to pressure differences in chambers. Reicosky et al. (1997) reported 10-fold increases in CO2¯ux under large dynamic chambers

compared with that under small dynamic chambers due to pressure differences created by fans. Review of the literature, therefore, indicates that the microme-teorological method measuring CO2 concentrations

above a canopy and the static chamber techniques are currently among the best available methods to measure CO2 ¯ux. Micrometeorological methods,

however, are costly and can only be used if plot size is large. Static chambers are suitable for small plots and can be used with different analytical techniques. For example, Raich et al. (1990) did not ®nd systema-tic differences between gas chromatography and soda-lime technique in static chambers. If daily CO2¯ux is

desired, the alkali-absorption method and the soda-lime technique are most suitable.

Wide variations in CO2¯ux densities are reported in

the literature. These differences are partly due to the method used and partly due to actual differences in CO2¯ux caused by various factors like management,

climate and soils. Buyanovsky et al. (1986) measured CO2¯ux from a winter wheat (Triticum aestivumL.)

ecosystem on a Udollic Ochraqualf in Colombia, MO, and estimated a total annual C loss of 6.4 Mg haÿ1

per

year. Hendrix et al. (1988) reported CO2¯ux in the

order of 10±11 Mg C haÿ1

per year under different crop rotations on a Typic Rhodudult in Georgia. Alvarez et al. (1995) reported CO2 ¯ux of

11.6 Mg C haÿ1

per year on a Typic Argiudoll of the Argentinan Pampa. These three studies used the static chamber alkali-absorption method. CO2¯ux can

vary considerably throughout the year and is in¯u-enced by management. Kanemasu et al. (1974) reported ¯ux of 0.04±0.9 g C mÿ2hÿ1 from various sources. In the study of De Jong et al. (1979) CO2

¯uxes up to 0.05 g C mÿ2hÿ1 were reported. Rei-cosky and Lindstrom (1993), using static chambers and gas chromatography, measured CO2¯ux as high

as 7.9 g C mÿ2

hÿ1

immediately after tillage of an Aeric Calciaquoll in Minnesota. Reicosky et al. (1997), using the same technique, measured ¯ux densities of 11.8 g C mÿ2

hÿ1

immediately after plow-ing a Udic Pellusterts in Texas. Dao (1998) measured peak CO2¯ux of 1.3±4.1 g C mÿ2per day (depending

on tillage system) on a Paleustoll in Oklahoma using the alkali-absorption method.

In most C budget studies, the amount of C added to the soil in crop residue has to be estimated from empirical approximations. The below-ground biomass is usually the unknown factor. This experiment was, thus, conducted to minimize the below-ground addi-tion of biomass by eliminating crop and weed growth. The objectives were to: (1) determine the in¯uence of known additions of crop residue in a no till system on CO2 ¯ux measured with the static chamber

alkali-absorption method, and (2) calculate the C balance from the CO2¯ux and C added in crop residue.

2. Materials and methods

2.1. Location and treatments

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16 Mg haÿ1

per year air dry wheat straw applied on plots of 22 m2area, with three replications. It was observed that residue rapidly compacted after a rain-storm (very frequent around the time of residue appli-cation) and therefore no special measures were taken to keep the straw on the plots. C content of the air dry wheat straw was 0.413 g gÿ10.004. The typical nutrient content of wheat straw is: 0.006 g gÿ1 N, 0.002 g gÿ1 S, 0.006 g gÿ1 K, and 0.001 g gÿ1 P (Russell, 1973). Crop residue was applied each spring. No crop was planted and therefore no fertilizer was applied.Glyphosate (phosphonomethyl glycine) was used to control weeds as and when needed.

2.2. Temperature and SOC measurements

Continuously measured air and soil temperature data for Waterman Farm were obtained from the Ohio Agricultural Research and Development Center (OARDC, Wooster, OH). The OARDC measures air temperature in a non-aspirated shelter at 1.5 m and soil temperature 5 cm below a bare surface. Precipitation is measured with a daily recording raingauge. The soil temperature in the mulch experiment was measured on the days when CO2¯ux was sampled using

copper-constanum thermocouples (Taylor and Jackson, 1986) installed at 5 cm depth near the chambers. Only soil temperature determined at noon is reported, because temperature was not always determined at the same time of the day. Average SOC content in the 0±10 cm layer was calculated from samples taken in summer 1997 at 0±1, 1±3, 3±5 and 5±10 cm depths with a 5 cm diameter soil auger. Deeper sampling was not neces-sary because an earlier study (Duiker and Lal, 1999) showed no effect of crop residue application on SOC content below the 10 cm depth. Total C content of samples passed through a 100 mesh (149mm) sieve was determined by dry combustion at 6008C (Nelson and Sommers, 1986). The carbonate content of the soil (pH<7) was neglected. The SOC content (g gÿ1

) was multiplied by bulk density of soil at the 0±10 cm depth (measured with a Troxler density probe) to obtain SOC on a volumetric basis (kg mÿ3

).

2.3. CO2¯ux measurements

The alkali-absorption method (Anderson, 1982) was used in this study to measure daily CO2 ¯ux.

One white, unshaded, PVC cylinder was permanently installed in each plot in spring 1997 (Fig. 1).

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surements were taken approximately every 2 weeks from April to October 1997, never less than 2 days after a rain shower. At the start of a measurement a glass jar ®lled with 20.0 ml of 1.0 M NaOH was placed on a perforated PVC ring in a cylinder which was then closed with a white PVC cap. The rim was ®lled with water to ensure sealing. The jars were left for 24 h in the closed cylinders after which they were removed, closed with a para®n-paper sealed metal lid and transported to the laboratory for analysis. Excess NaOH was titrated to pH 8.2 in the presence of excess BaCl2using 0.85 M HCl and phenolphtalein as

indi-cator.

2.4. Statistical analysis and calculations

Mean soil temperature was separated by the LSD test atpˆ0.05. Annual C balance was calculated using CO2±C ¯ux measurements and crop residue C applied,

assuming C losses due to leaching and erosion were negligible. The area under each curve was computed using the trapezoid rule: ((CO2±C ¯ux on day

A‡CO2±C ¯ux on day B)/2)(number of days

between A and B), assuming that on the ®rst of February the CO2 ¯ux was 0 g C m

ÿ2

per day from all treatments.

3. Results and discussion

3.1. Air and soil temperature

Average daily air and soil temperature and daily precipitation measured on Waterman Farm are pre-sented in Fig. 2. In spring, soil temperature was lower than air temperature. In summer and autumn, air temperature was usually lower than bare soil tempera-ture. Differences in air and soil temperature may have been due to the residual heat of the soil, soil warming by solar radiation and protection against wind. Pre-cipitation events were evenly distributed throughout the period of analysis, except for a drier period from September to October. Total precipitation from 1 April to 10 October (the period in which CO2¯ux

measure-ments were made) was 700 mm. Soil temperature at 5 cm depth under a bare surface could be predicted from the air temperature by the equation: soil temperatureˆ1.67‡0.80 (air temperature)1.06 for air temperature 08C and soil temperatureˆ1.67 for air temperature <08C (r2ˆ0.93). Our analysis indicates that it may be possible to use average daily air temperature to approximate soil temperature if the relationship between the two for a particular manage-ment system is known.

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Noon soil temperature was found to be strongly in¯uenced by crop residue rate (Table 1). Soil tem-perature on bare plots was usually higher at noon compared with temperature on plots receiving residue. On clear days, noon soil temperature was often above the maximum air temperature on these bare plots due to warming of the soil surface. The crop residue on the surface dampened the temperature increase. For exam-ple, on April 11 noon soil temperature under the 0 Mg haÿ1

residue plots was 148C higher than that in other plots. The reduction of afternoon soil temperature by organic mulch due to its low apparent thermal conduc-tivity has been reported by several other researchers (Lal, 1974; Mbagwu, 1991; Schonbeck and Evanylo, 1998; Van Donk and Tollner, 1998). Differences in soil temperature in the treatments 2±16 Mg haÿ1per year crop residue were negligible. In September,

differ-ences in soil temperature between the 0 Mg haÿ1per year residue treatment and the other crop residue treatments became smaller, although they were still signi®cant. The decreasing soil temperature differ-ences have been due to the increasing compaction and decomposition of the residue (and thus less insu-lation) and the decrease of its albedo (and therefore less re¯ection). Autumn soil temperature followed a consistent trend of decreasing noon soil temperature associated with increasing crop residue levels.

3.2. CO2¯ux

The CO2¯ux was the highest from the 16 Mg ha

ÿ1

per year crop residue treatment in 7 out of 13 sampling dates, and lowest from the 0 Mg haÿ1per year treatment in 8 out of 13 sampling dates (Table 2). Differences Table 1

Residue application rate effects on noon soil temperature (8C) for selected dates in 1997

Date Air temperature Noon soil temperature at 5 cm depth under different residue rates (Mg haÿ1per year) LSDa

Mean Max 0 2 4 8 16

April 11 10.1 16.6 21.3 7.5 7.0 7.7 7.3 2.2

April 18 8.1 14.3 16.8 8.1 7.6 7.6 7.8 2.4

April 19 9.3 16.4 20.5 12.7 10.8 10.2 11.0 3.2

July 4 13.7 19.3 24.3 23.1 22.1 21.6 21.0 1.6

September 15 21.6 28.2 23.6 21.0 19.7 19.1 18.2 2.8

September 16 22.0 29.1 24.3 21.0 20.6 19.5 18.8 2.8

aLeast signi®cant difference (pˆ0.05).

Table 2

Residue application rate effect on average CO2¯ux (g C m

ÿ2per day

standard deviation) in 1997

Day Residue application rate (Mg haÿ1per year) LSDa

0 2 4 8 16

April 11 0.500.09 1.200.45 0.840.10 1.100.23 1.080.37 0.42

April 18 0.450.05 1.180.28 0.870.14 1.180.22 0.930.21 0.30

April 30 0.810.41 1.470.43 1.130.13 1.510.50 1.170.24 0.72

May 22 1.000.42 2.040.73 1.780.23 2.040.81 2.841.08 1.45

June 6 1.881.09 3.252.52 1.460.38 2.510.59 4.442.27 2.70

June 17 0.790.46 3.232.07 3.250.50 3.421.04 3.751.15 2.15

June 20 1.840.43 3.742.29 2.670.70 2.610.67 4.191.13 2.32

July 4 2.941.00 4.172.33 2.920.80 3.221.12 3.460.62 2.24

July 16 2.650.85 2.871.32 2.270.24 2.990.89 4.101.95 2.06

July 30 1.990.92 3.331.64 3.330.62 3.671.39 3.390.45 2.25

August 25 3.431.40 3.731.02 3.260.65 3.681.63 2.800.99 2.23

September 15 1.570.56 1.960.86 1.570.41 2.150.69 2.661.30 1.28

October 1 0.780.71 0.810.58 0.640.17 0.720.05 2.020.75 1.11

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between treatments were mostly non- signi®cant, however. The CO2¯ux increased at the same time as

did air and bare-soil temperature in spring (Fig. 2). The evolution of CO2 ¯ux over the year in this

experiment is comparable with other studies (Buya-novsky et al., 1986; Hendrix et al., 1988; Alvarez et al., 1995; Fortin et al., 1996) and indicates a relation-ship between soil temperature and CO2¯ux. Analysis

of the relationship between CO2¯ux from bare plots

and the average daily soil temperature measured at 5 cm depth at the weather station of Waterman Farm gave a correlation coef®cient (r2) of 0.60 (CO2

¯uxˆÿ0.22‡0.02 (soil temperature)1.49). If simu-lated soil temperature (Section 3.1) was used instead of measured soil temperature, the best regression equation wasÿ0.42‡0.11(simulated soil tempera-ture) (r2ˆ0.45). The correlation coef®cients can prob-ably be improved if soil water content is also taken into account because other authors have reported soil temperature combined with soil water content to be reasonal predictors of CO2¯ux (Franzenluebbers et al.

1994, 1995a). However, due to insuf®cient precision of soil water content measurements with gypsum blocks no relationship could be established between soil water content and CO2¯ux. No signi®cant

rela-tionship was observed between noon soil temperature on the sampling dates and CO2¯ux.

The high spring soil temperature in the 0 Mg haÿ1 per year treatment may have had little effect on CO2

¯ux due to a lack of substrate in the surface soil (low SOC levels) and a drier soil surface than in the other treatments. However, the CO2¯ux for the 0 Mg haÿ1

per year treatment was high from the end of June to the end of August, and comparable to the ¯ux from plots receiving crop residue. This may mean that miner-alization of SOC from deeper soil layers contributed to the CO2¯ux.

After mid-May CO2emission from the plots

receiv-ing 16 Mg haÿ1

per year residue was the highest, and remained among the highest until July. In early Octo-ber the CO2 ¯ux densities from the 0, 2, 4, and

8 Mg haÿ1

per year residue plots were similar, while that of the plots receiving 16 Mg haÿ1

per year was higher. The reason may be the thick residue layer on the plots receiving 16 Mg haÿ1 per year which resulted in higher night temperature and higher humidity. The effect of the other residue rates (<16 Mg haÿ1 per year) on soil temperature had already declined by autumn due to compaction and destruction of the thinner straw layer by soil fauna. Soil temperature measurements in the early morning in autumn (not shown) con®rmed that soil temperature was 1±38C higher under the 16 Mg haÿ1

per year plots compared with the other treatments.

The lack of a signi®cant difference of the CO2¯ux

between the 0 Mg haÿ1

per year treatment and the other treatments is remarkable. Considering limited differences in SOC contents between treatments (Table 3) one would expect much higher CO2losses

from treatments receiving much crop residue com-pared with those receiving little or no crop residue. A possible explanation of this may be the presence of undecomposed crop residue lying on the soil surface and perhaps incorporated into the soil by faunal activity which was not determined as SOC.

The high variability in the measured CO2¯ux may

be attributed to variability in soil properties between replications within treatments. That being the case, the CO2¯ux measured from individual chambers would

be systematically different, because the chambers were not moved during the year. Results for each chamber are presented in Fig. 3 with a third degree polynomial function relating day in the year to CO2

¯ux ®tted through the measurements. The third degree

Table 3

Calculation of annual C budget (1997)

Annual residue application rate (Mg haÿ1per year)

0 2 4 8 16

(A) Total CO2±C flux (Mg C ha

ÿ1per year) 3.84 5.64 4.51 5.34 6.63

(B) Total crop residue-C added (Mg C haÿ1per year) 0.00 0.83 1.65 3.30 6.61

(B)ÿ(A) (Mg C haÿ1per year) ÿ3.84 ÿ4.81 ÿ2.86 ÿ2.04 ÿ0.02

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polynomial function gave a reasonable ®t, explaining from 56 to 93% of the variation in CO2¯ux during the

year for each individual chamber. The fact that most often the regression curves do not cross indicates that at least some variability in the measurements was due

to spatial variation in soil properties between replica-tions of the same treatment. Excepreplica-tions to this are the 8 and 16 Mg haÿ1

per year treatments. Replicate 3 of the 8 Mg haÿ1

per year treatment had higher CO2¯ux

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reversed. Replicate 2 of the 16 Mg haÿ1

per year treatment had higher CO2 ¯ux than the other two

replicates until July, after which the CO2 ¯ux from

the other two replicates was higher. There are also some exceptionally high ¯ux measurements in most treatments at some time, for example, in June for replicate 2 of the 2 Mg haÿ1per year as well as the 16 Mg haÿ1 per year treatment. These peaks may indicate bursts of microbiological activity which apparently do not take place at the same moment for all treatments or replicates. The absence of con-sistently higher or lower CO2¯ux measurements from

certain replicates over others indicates that CO2¯ux is

also highly variable temporally. This may be due to variability over time in factors like porosity, drainage, SOC content, or earthworm and microbial population.

3.3. C budget calculation

Although comparison of relative CO2¯ux

measure-ments using the static chamber technique are valid, there is uncertainty about the accuracy of the absolute CO2 ¯ux measured with this method (Anderson,

1982). The magnitude of the calculated annual CO2

¯ux (Table 3) is comparable to reports in the literature (Buyanovsky et al., 1986; Hendrix et al., 1988; Alvarez et al., 1995). Total C lost as CO2followed

the order: 16>2>4>8>0 Mg haÿ1

per year. The higher CO2¯ux from the 16 Mg haÿ1per year residue

treat-ment is due partly to higher CO2¯ux during the year

and partly because on the last sampling date CO2¯ux

was higher than that of the other treatments. The higher soil humidity under the 16 Mg haÿ1

per year treatment in autumn may have led to higher ¯ux but it is unlikely that this continued to be important after October with the onset of rains in the autumn. How-ever, no measurements were made to con®rm this.

The C budget calculations indicate that there was a net loss of C in all treatments. The losses were highest under the low crop residue application rates and decreased with increasing residue rate. Calculated C losses were very high and would have led to depletion of SOC content in the top 10 cm of the soil in a period of 3±4 years for the 0 and 2 Mg haÿ1

per year treat-ments. The data on SOC contents, however, indicate that SOC contents did not decrease in the treatments receiving more than 2 Mg haÿ1

per year of residue (Duiker and Lal, 1999). Peterson et al. (1998) reported

that, under no till management in the Great Plains of the USA, each Mg haÿ1

of residue returned to the soil increased SOC content by 1.52 g kgÿ1

indicating that at least part of the C added to the soil in residue was converted into SOC. Franzenluebbers et al. (1995a,b) employing the static-chamber alkali-absorption tech-nique in a 9-year old experiment in south central Texas, reported mostly higher measured CO2±C losses

than C-inputs in crop residue. In both studies, how-ever, SOC content had increased since the initiation of the experiment. The CO2 ¯ux measurements in the

experiments by Franzenluebbers et al. were made at night, when CO2¯ux would be expected to be lower

than during the day due to lower temperature (Gra-hammer et al., 1991), indicating that CO2¯ux might

have been higher if day time measurements were included. There are different explanations possible for the apparent overestimation of the CO2 ¯ux

employing the static chamber alkali-absorption method. First, measurement of CO2¯ux on dry days

may lead to an overestimation because lower ¯ux may have occurred during periods of high soil water con-tent. High soil water content decreases decomposition rates because anaerobic microbiological activity dom-inates over aerobic activity when air ®lled porosity decreases below 20±30% (Linn and Doran, 1984). Additionally, gas exchange with the atmosphere is more dif®cult. Franzenluebbers et al. (1995a) reported an increase of average CO2¯ux with increase in water

®llable pore space below 90%, although in individual treatments the relationship was sometimes negative. Franzenluebbers et al. (1995b) observed a mixed effect of soil water content on soil CO2¯ux. Secondly,

it may be suggested that high ambient temperature and humidity inside the static chambers may lead to higher decomposition rates compared with the outside of the chamber. A positive relationship between CO2 ¯ux

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much effect on decomposition of SOC, because the relative humidity of the soil atmosphere approaches 100% except in extremely dry soils. There is therefore no straightforward explanation of the apparent over-estimation of CO2¯ux with the static chamber

alkali-absorption technique except for the omission of mea-surements on soils with a water content exceeding 80%. A comparison of the static chamber technique with improved dynamic chamber techniques that avoid high or low pressure inside the chamber (Ray-ment and Jarvis, 1997) and micrometeorological methods is therefore recommended to resolve some of these questions.

4. Conclusions

Residue application had a signi®cant impact on noon soil temperature. The difference was large between unmulched and mulched treatments. Among the plots that received from 2 to 16 Mg haÿ1per year crop residue noon soil temperature differences were negligible from spring until autumn. Measured CO2

¯ux ranged from 0.4 to 4.2 g C mÿ2per day, compar-able to ¯uxes reported in the literature employing the same method. Although the total calculated CO2¯ux

from the 0 Mg haÿ1

per year treatment was lower than that from the other treatments, there was not a con-sistent relationship between CO2¯ux and the amount

of mulch applied. An explanation of this phenomenon may be the presence of undecomposed mulch in the soil (larger than 0.1 mm) that was not determined in our method of SOC determination. Another possible explanation, supported by the high spatial and tem-poral variability in CO2 ¯ux measurements, is that

peaks (and dips) in CO2¯ux are missed in the

sam-pling scheme. Calculation of the annual C balance based on measured CO2¯ux and C added to the soil in

crop residue indicated a net depletion of SOC content in all treatments except for the 16 Mg haÿ1

per year treatment. This did not correspond with measured SOC content which increased with crop residue appli-cation. The annual CO2 ¯ux calculations apparently

overestimate CO2¯ux due to timing of measurements

and perhaps other, unknown factors. These problems may be partly resolved by measuring CO2 ¯ux at

shorter time intervals (especially during and after rainshowers). High humidity and temperature of the

atmosphere inside the chambers are not considered valid reasons for high CO2¯ux because humidity and

temperature of the soil are not likely to be higher under the chambers compared with that outside of the chambers. The variability of CO2 measurements

was high, both spatially and temporally, attributed to variations in soil properties like porosity, drainage, SOC content, microbial and earthworm populations and activity. A comparison of the static chamber alkali-absorption technique with improved dynamic chamber techniques and micrometeorological meth-ods is recommended to resolve the question of over-estimation of CO2¯ux with this method.

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