Geoderma 189–190 (2012) 65–71 Contents lists available at SciVerse ScienceDirect Geoderma journal homepage: www.elsevier.com/locate/geoderma Effects of simulated acid rain on soil CO2 emission in a secondary forest in subtropical China Shutao Chen a, b,⁎, Xiaoshuai Shen a, Zhenghua Hu a, Haishan Chen c, Yanshu Shi a, Yan Liu a a b c School of Environmental Science and Engineering, Nanjing University of Information Science and Technology, Nanjing, 210044, China State Key Laboratory of Atmospheric Boundary Layer Physics and Atmospheric Chemistry, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing, 100029, China Key Laboratory of Meteorological Disaster of Ministry of Education, Nanjing University of Information Science and Technology, Nanjing 210044, China a r t i c l e i n f o Article history: Received 20 October 2011 Received in revised form 24 March 2012 Accepted 2 May 2012 Available online xxxx Keywords: Simulated acid rain (SAR) Soil respiration (Rs) Heterotrophic respiration (Rh) Soil temperature Soil moisture Subtropical forest a b s t r a c t Acid rain, which is caused mainly by dissolution of sulfur dioxide (SO2) and nitrogen oxides (NOx) in the atmosphere, has been reported to have negative effects on ecosystems. However, few investigations have focused on the impacts of acid rain on soil CO2 emission in forest. In this study, the effects of simulated acid rain (SAR) on soil respiration (Rs) and its heterotrophic component (Rh) in a secondary forest in subtropical China were investigated. Soil CO2 efflux was measured by using a Li-8100 infrared gas analyzer with attached chamber. Measurements were generally made once a week from 21 March 2010 to 16 May 2011 in order to investigate the seasonal variations of Rs and Rh under different SAR treatments. Soil temperature and moisture at the depth of 5 cm were measured at the time of soil CO2 efflux measurements. Results indicated that different SAR treatments exhibited similar seasonal patterns of Rs and Rh. Seasonal mean Rs rates for the CK (deionized water), A1 (pH 4.0), A2 (pH 3.0) and A3 (pH 2.0) treatments were 2.63, 1.92, 1.89 and 2.16 μmol m − 2 s − 1, respectively, while mean Rh rates for the four treatments were 1.80, 1.64, 1.76 and 1.79 μmol m − 2 s − 1, respectively. Two-factor analysis (respiration components and SAR) of variance implied that SAR had significant (p = 0.031) effects on soil CO2 emissions, but this was contingent on the specific respiration components. SAR showed significant inhibition effects on Rs (autotrophic + heterotrophic components) rather than Rh. The ratio of Rh to Rs was significantly higher in the CK than in the acid rain treatments (A1, A2 and A3). Soil temperature and moisture were two controlling factors regulating the seasonal patterns of Rs and Rh for each of the SAR treatment. Soil temperature and moisture accounted for more than 80% of the seasonal variations observed in Rs and Rh. This work highlights that the effects of SAR are important to consider in assessing the annual soil CO2 emission, particularly under the scenario of increasing acid rain pollution. © 2012 Elsevier B.V. All rights reserved. 1. Introduction Acid rain is one of the foremost examples of regional air pollution and has received worldwide attention because acidification damages are often the result of atmospheric transport of sulfur and nitrogen emissions across state and/or national boundaries (Menz and Seip, 2004). Regions that have been most affected by acidic deposition include Europe, eastern North America, and Southeast Asia, especially central and southern China (Kuylenstierna et al., 2001; Menz and Seip, 2004). Acid rain is caused mainly by dissolution of sulfur dioxide (SO2) and nitrogen oxides (NOx) in the atmosphere. These pollutants mainly originate from human activity such as the combustion of fossil fuels within thermal power plants and automobiles (Francisco Sant'Anna-Santos et al., 2006; Kita et al., 2004; Zhang et al., 2007). ⁎ Corresponding author at: School of Environmental Science and Engineering, Nanjing University of Information Science and Technology, Nanjing, 210044, China. Tel./ fax: +86 25 58731090. E-mail address: [email protected] (S. Chen). 0016-7061/$ – see front matter © 2012 Elsevier B.V. All rights reserved. doi:10.1016/j.geoderma.2012.05.002 Because of the difficulty and cost in disposing these gases in many countries, they are often emitted into the atmosphere with no effective treatments. The nationwide monitoring data provided by China Meteorological Administration in 2007 demonstrate that most areas in southern China were registered acid rain with pH values below 5.0 (Hou and Zhao, 2009). Zhang and Jiang (2012) reviewed that most ecosystems in southern China had received large quantities of acidic inputs. Second to gross photosynthesis, CO2 emissions from soils (i.e., soil respiration) exceed all other terrestrial–atmospheric carbon exchanges (Raich and Schlesinger, 1992). Over two thirds of terrestrial carbon is stored belowground and a significant amount of the atmospheric CO2 assimilated by plants is respired by roots and microbes in terrestrial soils (Hibbard et al., 2005). Soil respiration is therefore a key process that underlies our understanding of the terrestrial carbon cycle (Davidson et al., 2006). Increases in soil CO2 emissions have the potential to exacerbate increasing atmospheric CO2 levels and to provide a positive feedback to global warming (Raich and Tufekcioglu, 2000). Generally, soil respiration (Rs) is separated into two components: root (autotrophic) respiration 66 S. Chen et al. / Geoderma 189–190 (2012) 65–71 (Ra) and microorganism (heterotrophic) respiration (Rh) (Kuzyakov, 2006; Kuzyakov and Larionova, 2005). Impacts of acid rain on forest ecosystem are an increasing environmental concern. Reich et al. (1988) and Wright et al. (1990) found that simulated acid rain (SAR) application changed foliar N content. Some investigations suggest that SAR can accelerate leaching of nutrients from plant foliage and soil (Reddy et al., 1991; Turner and Tingey, 1990; Zhang et al., 2007). Acid rain is thought to be responsible for elevated levels of toxic aluminum in soil, leaching of plant nutrients (particularly magnesium) from soils, or reduced availability of phosphorus (Menz and Seip, 2004). Schaedle et al. (1989) found that acid rain increased Al 3+ in soil solution, which is toxic to fine roots. Fan and Wang (2000) reported that high H + load in SAR inhibited seedling growth. Since acid rain application changes roots and soil conditions which are thought to influence CO2 emissions from roots and organic matter decomposition (Boone et al., 1998; Kuzyakov, 2006; Kuzyakov and Larionova, 2005), acid rain has the potential to affect Rs. Fritze (1992), for example, has found that acidic loads applied during a short time period, sometimes even in a single load, demonstrated the toxic effects of acid on Rs. Many efforts have been devoted to study the impacts of acid rain on plant and soil traits in forest in southern China (e.g. Fan and Wang, 2000; Wang et al., 2009; Zhang et al., 2007). Unfortunately, few investigations have focused on the impacts of acid rain on soil CO2 emission in forest; particularly lacking, to our knowledge, is the long-term in situ measurements. Also, the information about the dependences of soil respiration on temperature and moisture under different SAR pH levels is also rare. Because the H + in the SAR is toxic to soil microorganisms and roots, it was assumed that soil respiration components might be affected by acid rain. In order to examine the potential effects of SAR on soil CO2 emission, a field experiment with different SAR levels has been conducted. The specific questions addressed here were the following: (1) whether and how does SAR affect Rs and Rh in the subtropical forest? (2) How do soil temperature and moisture affect the variability of soil CO2 emission under different SAR treatments? 2. Materials and methods 2.1. Site description In 2010, experiments were performed at Longwang Mountain (32.20°N, 118.72°E) near Nanjing City, Jiangsu province, China. This study site is located on the north shore of lower reaches of Yangze River. The Longwang Mountain has a monsoon climate and falls into the northern edge of the humid subtropical climate zone. Annual average temperature of the experimental site is 15.6 °C and annual rainfall averages 1 100 mm. The broad leaf and needle leaf mixed hardwood forest is dominated by hackberry (Celtis sinensis L.), sweet gum (Liquidambar formosana L.), hardleaf oatchestnut (Castanopsis sclerophylla L.) and masson pine (Pinus massoniana L.), with some stands of Chinese pistache (Pistacia chinensis L.) and crape myrtle (Lagerstroemia indica L.). The stand has a density of 2000 trees ha − 1, which reaches canopy closure of 0.8 and presents rare herbaceous vegetations. The soil collected from the experimental site is classified as yellow-brown soil in Chinese taxonomy or Typic Paleudults in soil taxonomy. The soil in this experimental site is shallow; its depth varies from 35 to 50 cm and is underlain by quartzite bedrock. Soil properties of C and N content and pH are shown in Table 1. 2.2. SAR treatment In February 2010, the experiment was arranged in a split-plot design, which was indicated in Fig. 1. There were four main blocks; each block was split into Rs and Rh treatments. Four simulated acid rain Table 1 Soil C and N content and pH in the soil profile. Depth (cm) Soil C content (g kg− 1) Soil N content (g kg− 1) pH 0–4 4–10 10–20 20–30 30–40 40–50 62.7 ± 0.8 62.1 ± 1.1 60.2 ± 2.0 58.5 ± 2.5 53.8 ± 3.1 49.6 ± 3.7 3.0 ± 0.2 2.7 ± 0.2 2.6 ± 0.2 2.4 ± 0.2 2.2 ± 0.2 2.0 ± 0.2 6.8 ± 0.0 6.7 ± 0.1 6.6 ± 0.1 6.5 ± 0.1 6.5 ± 0.3 6.6 ± 0.2 (SAR) treatments, which were CK (control), A1 (pH 4.0), A2 (pH 3.0) and A3 (pH 2.0), respectively, were randomly assigned in each of the Rs and Rh treatments. There were 32 micro-plots assigned in the field experiments, with each micro-plot area measuring 1 m × 1 m. Comparing soil CO2 effluxes in small, trenched plots, where trenching excludes roots and nearby undisturbed locations, is one method for partitioning field-based estimates of annual Rs into its autotrophic and heterotrophic components (Bowden et al., 1993; Hanson et al., 2000; Kelting et al., 1998). The plots in Rh treatment were trenched with care to minimize soil disturbance. Trenches were cut (>30 cm) into the soil to sever roots entering the plot (Lavigne et al., 2003; Mäkiranta et al., 2010). To exclude also any C input from subcanopy herbs, where present, these were generally removed in trenched plots (Lavigne et al., 2003). In un-trenched plots where Rs was measured, only vegetation within the soil collar for measuring CO2 efflux was eradicated by hand. The vegetation was removed about a month before the commencement of respiration measurement. Soil CO2 effluxes measured in trenched and un-trenched plots were Rh and Rs, respectively. The rain applied in the CK (control) treatment contained only deionized water with pH 6.7. In order to have the SAR reflecting the real mole ratio of H:S:N according to previous acid rain records (Hou and Zhao, 2009; Zhang et al., 2007), acidic solutions were prepared by adding a mixture of H2SO4 and HNO3 (4.5:1 mole ratio) to deionized water (Zhang et al., 2007). SAR events were applied bi-weekly and the amount applied to each micro-plot was 1.25 L m − 2 per application event. The simulated rainfall was applied to the treatments by means of a simulation apparatus capable of delivering droplet sizes in the range of 1.0 to 1.2 mm diameter. This study simulated an over 14-month exposure experiment in acid rain intensity. There is a several-day interval between SAR addition and soil CO2 efflux measurements in order to avoid pulse CO2 emission due to water sprinkling. 2.3. Soil CO2 efflux measurement Soil CO2 efflux was measured by using a Li-8100 infrared gas analyzer (Li-Cor Inc., Lincoln, NE, USA) with attached chamber. The PVC soil collar (20 cm in diameter) was permanently installed (3 cm) into the soil in each SAR treatment for soil CO2 efflux measurements. There was one collar in each plot. Aboveground vegetation within the soil collar was eradicated by hand prior to chamber placement and measurements to avoid canopy CO2 exchange. Therefore, for soil CO2 efflux measured, we did not include aboveground respiration from living plants. Measurements were generally made once a week from 21 March 2010 to 16 May 2011, in order to investigate the seasonal variations of Rs and Rh under different SAR treatments. During respiration measurements, a double-sealed gasket system seals the chamber both inside and outside of the soil collar to minimize CO2 leaks and wind effects. Air flow generated by a rotary pump inside the analyzer control unit of Li-8100 provides a steady flow of air to the 20 cm chamber, with minimal pulsations. The analyzer optical bench measures CO2 concentration; the concentration is then used to calculate flux rate. S. Chen et al. / Geoderma 189–190 (2012) 65–71 Rh Rs 67 Rs Rs A1 CK CK A3 A1 A3 A1 A2 A3 A2 A1 A2 CK A2 CK A3 A3 A2 A2 A3 CK A3 A2 CK CK A1 A1 CK A2 A1 A1 A3 Rh Rh Rs Rh Fig. 1. Schematic drawing of field split-plot experiment. 2.4. Statistical analyses Repeated measures of ANOVA with a split-plot design were conducted to test the effects of trenching, SAR and their interactions on soil CO2 emission. Simple and multiple regression analyses were used to examine dependences of Rs (or Rh) to soil temperature and moisture. Analysis of covariance (ANCOVA) was used to investigate the SAR treatment and trenching interaction effects on soil respiration. In other words, in this study, ANCOVA tested whether SAR had an effect on the dependency of Rh on Rs. All statistical analyses were performed with Excel 2003 (Microsoft Inc., Seattle, WA, USA) and SYSTAT 10 (SAS Inc., Cary, NC, USA) softwares. 3. Results decreased sharply during autumn 2010. Seasonal mean Rs rates for the CK, A1, A2 and A3 treatments were 2.63, 1.92, 1.89 and 2.16 μmol m − 2 s − 1, respectively (Fig. 4a), while mean Rh rates for the four treatments were 1.80, 1.64, 1.76 and 1.79 μmol m − 2 s − 1 (Fig. 4b), respectively. Two-factor analysis (trenching and SAR) of variance implied that SAR had significant (p = 0.031) effects on soil CO2 emission (Table 2). As shown in Table 2, the effects of trenching (respiration component) (p b 0.001) and SAR treatment (p = 0.031) were significant. Although, generally, SAR had inhibition effects on soil CO2 emission, this was contingent on the specific respiration components (Fig. 4a and b). Repeated measures of ANOVA showed that SAR significantly (p = 0.03) reduced Rs. In comparison with CK, A1, A2 and A3 reduced Rs by 27%, 28% and 18%, respectively (Fig. 4a), and no significant (p > 0.1) difference among the three SAR treatments (A1, A2 and A3) was observed. However, there were no significant (p > 0.05) differences in Rh rates among the CK, A1, A2 and A3 treatments, suggesting that SAR had no significant effects on Rh. Rh was significantly and positively correlated to Rs for each of the SAR treatment (Fig. 5). As shown in Fig. 5, the relationship between 40 Ts_ Rs (°C) The Li-8100 chamber was put approximately 2 min on a PVC collar to measure soil CO2 efflux at each plot and then moved to the next plot. On each measurement date, the whole measurement started at 08:30 and lasted for about 60 min. According to a report by Tang et al. (2006), the diurnal studies demonstrated that CO2 fluxes measured at this time were close to daily means. Soil temperature (°C) and moisture (volumetric water content, %) at the depth of 5 cm were monitored adjacent to each PVC collar using a probe connected to the Li-8100 at the time of soil CO2 efflux measurements. Root biomass in the 0–7 cm soil profile was sampled on 3 March 2011, dried at 75 °C for several days and weighed. 30 40% Ws_ Rs A1 A2 A3 10 b 20% 0% c 6 -2 -1 Rs (µmol m s ) The seasonal changes of soil temperature and moisture were shown in Fig. 2a and b and Fig. 3a and b. Soil temperature showed clear seasonal patterns that followed local seasonal variation in air temperature, while soil moisture did not show such patterns. The highest soil temperature (~30 °C) appeared in August 2010. Both soil temperature and soil moisture were not significantly (p > 0.05) different among different SAR treatments. This experimental site experienced a serious drought from November 2010 to January 2011, with the lowest soil moisture of ~ 4% (Figs. 2b and 3b). Rs and Rh exhibited some clear seasonal patterns. The seasonal variation in Rs and Rh developed with a similar pattern under different SAR treatments during the experimental period (Figs. 2c and 3c), generally associated with the seasonal pattern of soil temperature (Figs. 2a and 3a). From March 2010 to May 2011, Rs and Rh increased during spring and summer (March 2010–August 2010) but CK 20 0 3.1. Effects of SAR on respiration a 3 0 05-Mar-10 04-May-10 03-Jul-10 01-Sep-10 31-Oct-10 30-Dec-10 28-Feb-11 29-Apr-11 Date Fig. 2. Seasonal variations of soil temperature (Ts_Rs) (a), soil moisture (Ws_Rs) (b) and soil respiration (Rs) (c) in un-trenched plots. 68 S. Chen et al. / Geoderma 189–190 (2012) 65–71 Ts_ Rh (°C) 40 a CK 30 A1 A2 A3 20 10 0 b Ws_ Rh 40% Table 2 ANOVA for the split-plot experiments. SS: sum of squares; MS: mean of squares. Source SS df MS F-ratio p Respiration components (RS and Rh) SAR Respiration components SAR Error 1.301 0.944 0.542 2.170 1 3 3 24 1.301 0.315 0.181 0.090 14.397 3.482 1.999 b 0.001 0.031 0.141 20% 0% c 3.2. Temperature and moisture relationships of respiration -2 -1 Rh (µmol m s ) 6 3 0 05-Mar-10 04-May-10 03-Jul-10 01-Sep-10 31-Oct-10 30-Dec-10 28-Feb-11 29-Apr-11 Date Fig. 3. Seasonal variations of soil temperature (Ts_Rh) (a), soil moisture (Ws_Rh) (b) and heterotrophic respiration (Rh) (c) in trenched plots. Rh and Rs can be strongly explained by a linear function model, implying that Rh occurs only if Rs occurs in the soil. However, covariance analysis (Table 3) showed that there was a significant (p = 0.004) difference of the slope among different SAR treatments, with a lower slope for the CK treatment (Fig. 5). When the entire experimental period was considered, seasonal variability in Rs and Rh was mainly controlled by soil temperature (Figs. 6 and 7). Soil temperature itself can explain more than 68% (R 2 > 0.68) seasonal variations in respiration rates (Figs. 6 and 7). By using the exponential model, the apparent Q10 values of Rs against soil temperature were 2.85, 3.11, 2.78 and 3.04 for CK, A1, A2 and A3 treatments, respectively, while those of Rh were 2.48, 2.38, 2.43 and 2.60, respectively (Table 4). Although the calculated R 2 values for the Arrhenius model were less than the exponential model, both Arrhenius-based and exponential-based Q10 values showed that, generally, Rs had the higher temperature sensitivity than Rh. Soil moisture was another important factor influencing the seasonal variations in soil CO2 effluxes. Combining the effects of soil temperature and moisture on respiration rates yielded the exponential function modeling the temporal variations of Rs and Rh (Table 5). Soil temperature and moisture accounted for more than 80% of the seasonal variations observed in Rs and Rh (Table 5). Overall, seasonal variations in Rs and Rh largely attributed to the combination effects of soil temperature and moisture. 4. Discussion 3.5 a Rs (µmol m-2 s-1) 3.0 4.1. SAR and soil respiration Effects of SAR application have been observed on the soil CO2 emission but the results are variable and also partly contradictory (Vanhala, 2002; Vanhala et al., 1996). Following SAR application, soil respiration was reported as unaffected, decreased, or increased. 2.5 2.0 1.5 9 a 1.0 b CK y = 0.789x y = 0.687x 0.5 6 A1 2 2 R = 0.897 R = 0.941 0.0 CK A1 A2 A3 Treatments 3.5 b Rh (µmol m-2 s-1) 3.0 2.5 Rh (µmol m-2 s-1) 3 0 c y = 0.875x 6 2.0 d A2 A3 y = 0.802x 2 2 R = 0.941 R = 0.889 1.5 3 1.0 0.5 0 0.0 CK A1 A2 A3 0 2 4 6 0 2 4 6 8 Rs (µmol m-2 s-1) Treatments Fig. 4. Mean soil respiration (Rs) (a) and heterotrophic respiration (Rh) (b) rates for different SAR treatments. Fig. 5. Relationship between heterotrophic respiration (Rh) and soil respiration (Rs). (a), (b), (c) and (d) represent CK, A1, A2 and A3, respectively. All p values for the regression lines in (a), (b), (c) and (d) are less than 0.001. S. Chen et al. / Geoderma 189–190 (2012) 65–71 9 Table 3 Covariance analysis of the effects of SAR treatment on the relationship between Rh and Rs. SS: sum of squares; MS: mean of squares. The relationship between Rh and Rs was significant (p b 0.001), but this relationship was significantly different (p = 0.004) among different SAR treatments. SS df MS F p Corrected model Intercept SAR Rs Error Total Corrected total 269.747 2.777 3.116 257.605 35.063 1004.642 304.810 4 1 3 1 155 160 159 67.437 2.777 1.039 257.605 0.226 298.107 12.274 4.591 1139.000 b 0.001 b 0.001 0.004 b 0.001 a 9 CK a y = 0.380e b 0.1049 x y = 0.296e 2 6 A1 0.1134 x 0.091 x A1 y = 0.405e 0.0866 x 2 R = 0.716 R = 0.726 3 0 c d A2 y = 0.392e 0.0889 x A3 y = 0.359e 2 0.0954 x 2 R = 0.745 R = 0.684 3 0 0 10 20 0 10 20 30 Ts_Rh (°C) Fig. 7. Relationship between heterotrophic respiration (Rh) and soil temperature (Ts_Rh). (a), (b), (c) and (d) represent CK, A1, A2 and A3, respectively. All p values for the regression lines in (a), (b), (c) and (d) are less than 0.001. Before this SAR experiment, we assumed that acid rain would inhibit both autotrophic and heterotrophic components of Rs, because the H + in the SAR might be toxic to soil microorganisms and roots. However, we found the significant inhibition effects of SAR on Rs rather than on Rh, indicating that SAR only significantly reduced root respiration during our experimental period. This was supported not only by the ratios of Rh to Rs (Fig. 5) but also by topsoil (0–7 cm) root density (root mass per gram soil) measured in different SAR treatments (Fig. 8). SAR treatments resulted in a decrease in topsoil root density in comparison with CK (Fig. 8), which would probably reduce CO2 emission from roots (Kuzyakov, 2006). In addition, as shown in Fig. 2c, we have observed several times of abnormally high Rs rates (mainly for A3) from July to September 2010. If these abnormally high CO2 fluxes were not considered, the inhibition effects of SAR on Rs would be more significant (data are not shown). 4.2. Soil temperature, moisture and respiration 2 R = 0.757 R = 0.680 Soil temperature and moisture are generally considered two basic factors in controlling soil CO2 emission processes. Temperature controls the rate of biological reactions through its influence on enzyme kinetics (Davidson and Janssens, 2006; Davidson et al., 2006; Lloyd 3 Rs (µmol m-2 s-1) b 2 6 Will et al. (1986), for example, reported that soil CO2 efflux was not affected by acid rain. A field study conducted in a weakly developed acidic podzolic soil indicated that SAR decreased soil CO2 emission (Zelles et al., 1987). The reduction of soil CO2 efflux might be due to the toxicity of high H + loads which may inhibit soil microorganism activity. Salonius (1990) found that a low level of SAR application appeared to increase soil CO2 efflux. In our study, Rs was significantly inhibited by SAR (Table 2, Fig. 4), but Rh was not affected by SAR. There are several reasons contributing to these inconsistent results. Firstly, the length of time in which the SAR is applied may influence the SAR effects on soil CO2 efflux. Some previous results obtained varied across different lengths of time of SAR application (Salonius, 1990; Vanhala et al., 1996; Will et al., 1986). Secondly, the effects of SAR depend on the H + loads. Vanhala et al. (1996), for example, suggested that the application of 2.92 kmol H + ha − 1 year − 1 did not affect soil CO2 emission, whereas the application of 14.9 kmol H + ha − 1 year − 1 decreased soil CO2 emission by about 20%. A decrease in the soil CO2 emission was observed only at extremely high acid loads. Thirdly, the effects of SAR vary across different biomes and soil micro-environments (Vanhala et al., 1996). Vanhala et al. (1996) pointed out that the microflora in subarctic soil was more sensitive to acidic precipitation than the microflora in temperate soil. They also found that soil CO2 emission in dry nutrient-poor forests tended to be more sensitive to acidic deposition than that in medium and mesic forests. CK y = 0.326e 6 Rh (µmol m-2 s-1) Source 69 0 c d A2 y = 0.352e 0.1024 x y = 0.332e 2 2 R = 0.690 6 Table 4 Calculated Q10 and R2 values by using both exponential and Arrhenius equations (Lloyd and Taylor, 1994). The fitted exponential and Arrhenius equations between respiration and temperature are R = aebT and R = αe− E0/(T − T0), respectively. In the equations, R (μmol m− 2 s− 1) is soil respiration (Rs) or heterotrophic respiration (Rh); T is soil temperature and T0 is a temperature parameter, both having units of K; a, b, α and E0 are parameters. R2 is the determinant coefficient. Q10 values for single degree C intervals were calculated from the fitted temperature models using the formula Q10 = (R2/ R1)(10/(T2 − T1)), where both T1 and T2 are temperature; Q10 is the temperature coefficient; R1 and R2 are soil respiration rates measured at T1 and T2, respectively. A3 0.111 x R = 0.740 3 Equation 0 0 10 20 0 10 20 30 40 Ts_Rs (°C) Fig. 6. Relationship between soil respiration (Rs) and soil temperature (Ts_Rs). (a), (b), (c) and (d) represent CK, A1, A2 and A3, respectively. All p values for the regression lines in (a), (b), (c) and (d) are less than 0.001. Respiration Q10 components CK Exponential Rs Rh Arrhenius Rs Rh 2.85 2.48 2.03 2.32 R2 A1 A2 A3 CK A1 A2 A3 3.11 2.38 2.61 1.98 2.78 2.43 2.51 2.35 3.04 2.60 2.77 2.58 0.757 0.726 0.580 0.569 0.680 0.716 0.618 0.543 0.690 0.745 0.580 0.601 0.740 0.684 0.533 0.573 70 S. Chen et al. / Geoderma 189–190 (2012) 65–71 Table 5 Statistical modeling of the effects of soil temperature and moisture on the seasonal variations in respiration. Parameters a, b and c are three coefficients in the regression function R = ae(bT + cW), where R (μmol m− 2 s− 1) is soil respiration (Rs) or heterotrophic respiration (Rh), T is soil temperature (°C), and W is soil moisture (V/V). R2 is the determinant coefficient, and p is the statistical significance of the regression function. CIa (95%), CIb (95%) and CIc (95%) are confidence intervals (95%) for a, b and c, respectively. Standard errors are estimated by bootstrap method. Rs or Rh SAR a b c R2 CIa (95%) CIb (95%) CIc (95%) p Rs CK A1 A2 A3 CK A1 A2 A3 0.398 ± 0.076 0.403 ± 0.069 0.369 ± 0.061 0.225 ± 0.046 0.322 ± 0.080 0.370 ± 0.062 0.424 ± 0.070 0.379 ± 0.061 0.083 ± 0.006 0.085 ± 0.006 0.076 ± 0.006 0.099 ± 0.007 0.069 ± 0.006 0.072 ± 0.006 0.073 ± 0.006 0.072 ± 0.006 1.754 ± 0.593 1.256 ± 0.604 2.142 ± 0.524 2.926 ± 0.489 2.115 ± 1.026 1.822 ± 0.444 1.290 ± 0.622 1.977 ± 0.406 0.812 0.842 0.836 0.886 0.829 0.822 0.813 0.805 0.245–0.551 0.256–0.540 0.247–0.492 0.134–0.317 0.162–0.483 0.247–0.493 0.285–0.581 0.258–0.500 0.071–0.095 0.072–0.098 0.063–0.088 0.085–0.112 0.057–0.081 0.060–0.084 0.062–0.084 0.060–0.084 0.567–2.940 0.046–2.465 1.094–3.191 1.947–3.905 0.062–4.168 0.934–2.711 0.045–2.534 1.165–2.789 b0.001 b0.001 b0.001 b0.001 b0.001 b0.001 b0.001 b0.001 Rh and Taylor, 1994). Our results exhibited a strongly exponential correlation of Rs and Rh with soil temperature for each SAR treatment, which was in agreement with previous studies (Davidson et al., 1998; Kang et al., 2003; Wang et al., 2002), especially in subtropical and temperate forests where a majority of biological processes coincides with temperature dynamics (Janssens and Pilegaard, 2003). Temperature not only directly affects the capacity of both soluble and membrane-bound enzymes and the affinity of the enzyme for substrates (Davidson et al., 2006), but also indirectly influences substrate availability by regulating daily metabolism and seasonal carbon distributions (Campbell and Law, 2005; Wang et al., 2006). Although soil temperature is the main driver of seasonal variations in Rs and Rh, soil water availability probably determines the responses of Rs and Rh to temperature (Conant et al., 2004; Wan et al., 2007). In wet soils when water content remains high throughout the year, soil CO2 emission tends to be much less responsive to soil moisture (Hanson et al., 1993; Keith et al., 1997). In dry soil, microbial and root activity would be reduced because of water stress. If a wet site dries substantially or a dry site wet substantially, then a large variability of soil CO2 emission may occur (Davidson et al., 1998; Jassal et al., 2008; Lee et al., 2004). Our experimental region experienced great variation of soil moisture during the experimental period (Figs. 2b and 3b), which contributed substantially to the significant effects of soil moisture on soil CO2 emission. 4.3. Measurements of Rs and Rh Although respiration chamber is widely used in field soil CO2 flux measurements (Bond-Lamberty and Thomson, 2010a,b), potential errors from this implementation still remain. There are two possible sources for this error. One is the disturbance resulting from the Root density (mg g-1) 2.0 1.5 1.0 0.5 0.0 CK A1 A2 A3 Treatments Fig. 8. Topsoil (0–7 cm) root density (root mass per gram soil) for different SAR treatments in un-trenched plots. chamber installation (Muhr and Borken, 2009). Wang et al. (2005) argued that root cut by collar insertion increased with insertion depth and this could significantly affect the subsequent soil respiration measurement. The other source of error is related to the property (flat or not) of forest floor. Because chamber volume is an important variable in the calculation of CO2 exchange rates in a closed gasexchange configuration (Long and Hallgren, 1985), non-planar forest floor surfaces (a common phenomenon) can introduce an unavoidable source of error to the measurements (Hanson et al., 1993). In this study, we attempted to ensure that observations were conducted on forest floor locations that approximated a flat surface. Also, we inserted the 3‐cm chambers into the soil; this depth was adopted to prevent gas leakage and to minimize root dissection (Zhao et al., 2011). One of the main environmental effects of acid rain will be on the metabolic activity of vascular plants. In our un-trenched plots where Rs was measured, only vegetation within the soil collar was removed. Herbs in these plots remained undisturbed and were assigned to SAR application, but there were no trees in our experiment plots. Previous investigations have indicated that the damage to the stomata due to SAR impaired the plant growth and yield because it could result in photosynthesis and transpiration alterations (Francisco Sant'AnnaSantos et al., 2006; Neufeld et al., 1985). The occurrence of cells with abnormal quantities of starch has also been found, which was thought to be related to the inhibiting effect of SAR on the translocation of carbohydrates from the leaves to the roots (Rennenberg et al., 1996). Therefore, it is important for us to quantify the effect of SAR on Rs in the context of coupling of underground processes and aboveground trees, because Rs is related to leaf photosynthesis (Kuzyakov and Gavrichkova, 2010). Future work should concentrate on investigating the effects of SAR on soil–plant system or ecosystem. The use of trenching to subdivide Rs may overestimate Rh because of inherent limitations of the method and the way we applied it (Hanson et al., 2000). One possibility is that some roots existed below 30 cm depth, and consequently some autotrophic respiration which occurred in trenched plots was assigned to Rh (Lavigne et al., 2003). However, the extent of this error with our trenching depth was probably small. There are two reasons for this. Firstly, most respiratory CO2 is produced near the surface of forest soil, because the large majority of fine-root biomass and recent detritus are found in the upper 5–10 cm, and so the contribution of CO2 from deep soil was most likely small (Muhr and Borken, 2009). For example, Wang et al. (2005) have reported that the fine root density in soil at 0–10 cm was 1.4, 1.6, 3.7, and 6.9 times greater than that at 10–20, 20–30, 30–40, and 40–50 cm, respectively. We also observe rare roots below 30 cm depth at one soil pit. Moreover, the soil in our experiment site is shallow and develops from quartzite bedrock. Trenches were cut (>30 cm) into the soil to obtain a uniform depth for all trenching plots. Our inferences and methods might be partly verified by a previous Rs partitioning study by Lavigne et al. (2003). S. Chen et al. / Geoderma 189–190 (2012) 65–71 5. Conclusions It can be concluded that the different SAR treatments showed similar temporal patterns of Rs and Rh. 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