This is a self-archiving file for Tokida et al. 2012 published in Plant and Soil, DOI: 10.1007/s11104-012-1356-7. The final publication is available at http://www.springerlink.com/content/x508n4701m5l1215/?MUD=MP. 1 The contribution of entrapped gas bubbles to the soil methane pool and their role in methane emission from rice paddy soil in free-air [CO2] enrichment and soil warming experiments Takeshi Tokida, Weiguo Cheng, Minaco Adachi, Toshinori Matsunami, Hirofumi Nakamura, Masumi Okada, Toshihiro Hasegawa Abstract Purpose We attempted to determine the contribution of entrapped gas bubbles to the soil methane (CH 4) pool and their role in CH4 emissions in rice paddies open to the atmosphere. Methods We buried pots with soil and rice in four treatments comprising two atmospheric CO 2 concentrations (ambient and ambient +200 μmol mol–1) and two soil temperatures (ambient and ambient +2°C). Pots were retrieved for destructive measurements of rice growth and the gaseous CH4 pool in the soil at three stages of crop development: panicle formation, heading, and grain filling. Methane flux was measured before pot retrieval. Results Bubbles that contained CH4 accounted for a substantial fraction of the total CH 4 pool in the soil: 26–45% at panicle formation and 60–68% at the heading and grain filling stages. At panicle formation, a higher CH 4 mixing ratio in the bubbles was accompanied by a greater volume of bubbles, but at heading and grain filling, the volume of bubbles plateaued and contained ~35% CH4. The bubble-borne CH4 pool was closely related to the putative rice-mediated CH4 emissions measured at each stage across the CO2 concentration and temperature treatments. However, much unexplained variation remained between the different growth stages, presumably because the CH 4 transport capacity of rice plants also affected the emission rate. Conclusions The gas phase needs to be considered for accurate quantification of the soil CH4 pool. Not only ebullition but also plant-mediated emission depends on the gaseous-CH4 pool and the transport capacity of the rice plants. Keywords rice paddy, methane, entrapped bubbles, free-air CO2 enrichment, soil warming, climate change Abbreviations FACE free air CO2 enrichment [CO2] CO2 concentration Received: 18 April 2012 / Accepted: 28 June 2012. Responsible Editor: Tim Moore T. Tokida (corresponding author)•T. Hasegawa National Institute for Agro-Environmental Sciences, 3-1-3 Kannondai, Tsukuba, Ibaraki 305-8604, Japan email: tokida@affrc.go.jp T. Matsunami Akita Prefectural Agriculture, Forestry and Fisheries Research Center, 34-1 Yuwaaikawa-aza-genpachizawa, Akita 010-1231, Japan W. Cheng Faculty of Agriculture,Yamagata University, 1-23 Wakaba-cho, Tsuruoka, Yamagata 997-8555, Japan H. Nakamura Taiyo Keiki Co., Ltd, Tokyo, 114-0032, 1-12-3 Nakajujo, Kita-ku, Tokyo 114-0032, Japan M. Adachi National Institute for Environmental Studies, 16-2 Onogawa, Tsukuba, Ibaraki 305-8506, Japan M. Okada Faculty of Agriculture, Iwate University, 3-18-8 Ueda, Morioka, Iwate 020-8550, Japan This is a self-archiving file for Tokida et al. 2012 published in Plant and Soil, DOI: 10.1007/s11104-012-1356-7. The final publication is available at http://www.springerlink.com/content/x508n4701m5l1215/?MUD=MP. INTRODUCTION Rice-paddies are one of the largest anthropogenic sources of atmospheric methane (CH4), a potent greenhouse gas. The estimated radiative forcing (global warming potential; Shine et al. 1990) of CH4 relative to the same mass of CO2 over a 100-year forward prediction has steadily increased with successive estimates, from 21 in the mid-1990s (Schimel et al. 1995) to 23 (Ramaswamy et al. 2001), 25 (Forster et al. 2007), and ~30 (Shindell et al. 2009) through the 2000s. This increase has been influenced by an improved understanding of the importance of the indirect effects of CH4, especially its role in the production of ozone in the troposphere and water in the stratosphere, both of which are potent greenhouse gases (Hansen et al. 2005; Shindell et al. 2005). If these indirect effects are taken into account, atmospheric methane contributes almost half as much radiative forcing as atmospheric CO2 (Shindell et al. 2009). To reduce CH4 production would be an economically effective way of mitigating global warming over the next several decades because of its strong radiative forcing and short residence time in the atmosphere (Shindell et al. 2012). Aside from the greenhouse effect, CH4 plays an important ecological role as an end point for the “final disposal” of carbon compounds in rice-paddy ecosystems. In anoxic water-logged soils, fermentative decomposition dominates dissimilatory processes, yielding various organic acids (Stams 1994; Schink 1997). Without the completion of these biochemical pathways that lead to CH4 production, these organic acids may remain in the soil and negatively affect rice growth, either directly (Armstrong and Armstrong 2001) or indirectly by increasing the concentration of Fe(II), a substance toxic to rice plants (Becker and Asch 2005). Because of its low solubility and lack of an ionic form, CH 4 escapes rapidly from the dissolved state in soil solution into the gas phase to form bubbles within the soil that eventually escape to the atmosphere. The solubility of CH4 is less than one-twentieth that of CO2 within the temperature range of 20–40°C (Wilhelm et al. 1977; Clever and Young 1987). Therefore, the concentration of dissolved CH4 in soil solution was found to be an order of magnitude smaller than that of CO2, even during the methanogenic phase, when equal molar amounts of CH4 and CO2 were being produced from organic compounds (Tokida et al. 2011). By contrast, many studies have shown a very high CH4 mixing ratio (defined as the number of molecules divided by the sum of the total number of gas molecules, i.e. mole fraction) in the bubbles (over 50% in some cases) in rice-paddy soils (Holzapfel-Pschorn et al. 1986; Uzaki et al. 1991; Watanabe et al. 1994; Byrnes et al. 1995; Rothfuss and Conrad 1998; Watanabe and Kimura 1998; Cheng et al. 2005; Han et al. 2005; Cheng et al. 2008a). As a corollary of these two tendencies, a major portion of the soil CH4 pool may exist in the gas phase (i.e., in trapped bubbles) even in water-logged soils (Wassmann et al. 1996; Bosse and Frenzel 1998; Cheng et al. 2005), presenting a sharp contrast to CO2, almost all of which exists in dissolved form (Tokida et al. 2 2009). Despite these facts, we presently have limited knowledge about the role of entrapped bubbles in CH4 retention in the soil and the transfer of CH4 to the atmosphere. For example, in most studies involving CH4 inventory, the authors have assumed that the dissolved form is the sole CH4 reservoir, neglecting the bubble form. Plant-mediated transport of CH4 has attracted much attention (Nouchi et al. 1990; Wang et al. 1997), whereas the release of CH4 in bubbles (often termed “ebullition”) has rarely been quantified, although a few studies have revealed that ebullition can be important during the early growing season (Wassmann et al. 1996). Although rice plants might act as a conduit between the bubble-borne CH4 reservoir and the atmosphere, we are aware of only a few studies of the role of the bubble-borne CH4 reservoir in rice-mediated CH4 emissions (Hosono and Nouchi 1997; Bazhin, 2010). We conducted a field study in a Japanese rice paddy to improve our understanding of the role of entrapped bubbles in the retention of CH4 in the soil, the overall soil pool size of CH4, and the emission of CH4 into the atmosphere. We hypothesized that entrapped bubbles would represent a major proportion of the CH4 inventory, even in apparently water-saturated soil, and that they may be an important factor controlling CH 4 emission over the course of rice crop development. We also investigated how an increase in the atmospheric CO2 concentration ([CO2]) and elevated soil temperature would affect the CH4 pool in the soil and the flux of CH4 from the soil pool to the atmosphere. Recent studies have suggested that high [CO2] and soil warming treatments significantly increase the CH4 emission from rice paddies (Tokida et al. 2010); however, the effects of [CO2] and soil warming on CH4 pool size and its relationship to the emission rate are not well understood. The field study was conducted at a free-air CO2 enrichment (FACE) facility where [CO2] can be elevated by 200 μmol mol–1 (ppm equivalent) above ambient by fumigating with pure CO2 (Okada et al. 2001). Subplots of elevated temperature (+2°C) were nested within both high and ambient [CO2] plots. MATERIALS AND METHODS Study site, CO2 enrichment, and soil-warming treatments We conducted the study in the 2007 growing season of the rice-FACE (free-air CO2 enrichment) experiment at Shizukuishi, Iwate, Japan (39°38′ N, 140°57′ E). Rice plants were grown in an open field, contained within pots (described in the section "Preparation of pot cultures") so that we could accurately quantify the pool size of CH4, especially the CH4 within gas bubbles entrapped in the soil. We maintained the environmental conditions as uniform as possible for the pots and for the surrounding rice plants grown directly in the soil. We buried the pots into the plowed FACE experimental fields so that the pots would experience the same [CO2] and temperature treatments as the surrounding area. We used the same experimental fields described by Tokida et al. (2010). Briefly, two paddy fields were assigned to each of This is a self-archiving file for Tokida et al. 2012 published in Plant and Soil, DOI: 10.1007/s11104-012-1356-7. The final publication is available at http://www.springerlink.com/content/x508n4701m5l1215/?MUD=MP. three blocks (replicates for [CO2] treatment); one field had an ambient [CO2] level and the other field was CO 2-enriched (FACE). Each FACE ‘ring’ was an octagonal arrangement of eight 5-m long horizontal emission tubes with a resultant diameter of 12 m across. The FACE plots had a target concentration of 200 μmol mol–1 above ambient using a pure CO2 injection FACE system (Okada et al. 2001). The FACE system operated only during the daylight hours. The season-long daytime average [CO2] (measured by LI-820; LI-COR, Inc., USA) was 568 μmol mol −1 in the FACE plots and 376 μmol mol−1 in the ambient-[CO2] plots. The fraction of time that the 1-min average [CO2] deviated by <10% or <20% from the target [CO2] was used to indicate the performance of the [CO2] control. Averaged over the season and the three FACE rings, 68% of the time the deviation was within 10% and 91% of the time it was within 20%. Our FACE experiment included a split-plot factor for two levels of soil and ponded-water temperature: an ambient temperature plot and an elevated temperature plot, with the latter targeted at 2°C above ambient. The surface soil and water were warmed using thermostatically controlled heating wires placed on the soil surface between the rows. The soil and water temperature of both plots was continuously measured by Pt100 thermometer and recorded in CR10X (Campbell Scientific Inc., USA). The temperature of the water and plow-layer soil was almost uniformly elevated, because the field was kept flooded (standing water depth was 3−6 cm) and the elevated temperature plots were enclosed with corrugated boarding to minimize the lateral movement of water. The elevated temperature plot was enclosed by corrugated PVC panels to prevent rapid exchange of paddy water in the plot area with that from the surrounding area. The warming facility successfully maintained an increased soil temperature until the middle of the grain filling stage. The seasonal mean temperature elevation was 1.9 ± 0.1°C (mean ± SD, n = 6) for the surface soil (0 cm) and 1.8 ± 0.1°C (mean ± SD, n = 6) at 10-cm depth (Tokida et al. 2010). All agronomic practices were the same as those of local farmers with the exception that midseason drainage was not carried out so that the warming treatments would be continuous. Preparation of pot cultures Soils used for the pot cultivation were collected from the corresponding fields 1 month before transplanting; we obtained soils from six paddy fields (two CO2 levels times three blocks). The soil in the study site was an Andosol (according to World Reference Base for Soil Resources) with a mean organic C content of 77.8 ± 15.3 g kg–1 DW (mean ± SD, n = 6) and total N of 4.8 ± 0.9 g kg–1 DW (mean ± SD, n = 6) (Tokida et al. 2010). The dry bulk density of the pot soil was 0.638 ± 0.057 Mg m–3 (mean ± SD, n = 6, ranging from 0.580 to 0.737 Mg m–3) and the porosity was 75.5 ± 2.2% (mean ± SD, n = 6, ranging from 71.7 to 77.7%). Such a low bulk density and high porosity are typical characteristics of the volcanic ash soils that are common in Japan (Maeda and Soma 1986). 3 We sowed rice seeds (Oryza sativa L. cv. Akitakomachi) on 23 April 2007 in seedling trays. The seedlings to be subsequently used for the ambient-[CO2] and FACE plots were raised in two different chambers, one under ambient [CO2] and the other under elevated [CO2] (ambient +200 μmol mol–1). The pots were round (13.5 cm × 16 cm, D × H) with an inner volume of 2230 mL. On 23 May 2007, 1 week before transplanting, the soil was puddled and mixed with fertilizer. All fertilizers were applied as a basal dressing. Nitrogen was supplied at a rate of 0.96 g N pot–1 (0.16 g N as ammonium sulfate, 0.32 g N as LP-70, and 0.48 g N as LP-100 [LP-70 and LP-100 are coated-urea fertilizer, Chisso-asahi Fertilizer Co., Ltd., Tokyo, Japan]), potassium at a rate of 1.33 g K pot–1 (0.8 g K as KCl and 0.53 g K as potassium silicate), and phosphorus at a rate of 1.39 g P pot–1 as fused magnesium phosphate. These fertilizer rates supplied the equivalent of 18 g N m–2, 25 g K m–2, and 26.2 g P m–2. Seedlings were transplanted from seed trays to pots by hand at a rate of three seedlings per pot. The pots were then placed into the field so that the surface of the soil in the pot was at a level flush with the surrounding soil. Because we conducted destructive sampling (see the next section), nine pots were buried in each experimental unit. Flux measurements Methane flux was measured using the static chamber method (Hutchinson and Livingston 2002) on three occasions corresponding to different growth stages of rice: panicle formation (48–50 days after transplanting, DAT), heading (75–77 DAT), and the middle of grain filling (105–106 DAT). At each growth stage, three pots were measured for CH 4 flux after which the pots were retrieved for destructive sampling from each experimental plot. As the pot did not have drainage hole, the soil was kept wet until soil-bubble collection (see next section). The flux measurements were made twice, once in the nighttime (natural, not enforced condition) and once in the daytime for each pot. Because the number of chambers for the flux measurements was limited, we needed to carry out three set of measurements at separate times (one set consisted of nighttime and daytime measurements). In order to complete the three sets of measurements as short a time as possible in a practical way, the daytime flux measurement came first for some pots followed by the nighttime measurements and the opposite order was true for the other pots. An acrylic, cylindrical chamber consisting of a lower (25 × 60 cm, D × H) and upper (26.7 × 50 cm, D × H) section was placed over each pot. The upper section of the chamber fitted over the lower one and was supported by a water-filled groove surrounding the outer top lip of the lower section, thus providing an airtight seal between the two sections and the surrounding atmosphere. After placement of the chamber over a pot, gas samples were collected at intervals of 0, 10, and 20 min in the daytime and 0, 5, 10, and 15 min in the nighttime. The samples were injected into pre-evacuated 20 mL bottles and transported to the laboratory for analysis within a week. This is a self-archiving file for Tokida et al. 2012 published in Plant and Soil, DOI: 10.1007/s11104-012-1356-7. The final publication is available at http://www.springerlink.com/content/x508n4701m5l1215/?MUD=MP. 4 The mixing ratio of CH4 was analyzed using a GC system (GC-14B; Shimazu, Kyoto, Japan). Details of combination of GC columns used in the present analysis were provided by (Sudo 2006). The efflux rate of CH4 was calculated from the increase in the gas mixing ratio, the basal area of the chamber, and the chamber volume, and the temperature inside the chamber. We assumed that the air pressure in the chamber was 101.325 kPa (1 atm). For nighttime measurements, we also calculated CO2 emission rates which represent dark respiration by rice plants because soil respiration from the flooded soil is generally small. Ideally, it is desirable to quantify both non-bubbling and naturally occurring bubbling emissions; however, it is difficult to accurately estimate a time-representative value of bubble release because it may occur episodically (Tokida et al. 2007). Non-bubbling flux should result in a linear increase in CH4 concentration over time. Therefore, to exclude ebullition flux we set two arbitrary criteria by which the linearity of increase in the chamber CH4 concentration could be satisfied, a technique adopted in many previous studies (e.g. Sass et al. 1990; Buendia et al. 1998): (i) for daytime measurements, we assumed that the flux was not influenced by ebullition if the rates of CH4 concentration increase during the 0–10 min and 10–20 min periods did not differ greater than 50% (equivalent to R2 > 0.9868); (ii) for nighttime measurements, we first checked the linearity of CH4 concentration versus time (at 0, 5, 10, and 15 min) and rejected the data if the R 2 value was less than 0.9800; if the data were not rejected we then applied a similar test for linearity as for daytime measurements; in this case, though, we assumed that the change in CH4 concentration was not influenced by ebullition if the increments during the 0–10 min and 5–15 min periods did not differ greater than 50%. We also discarded measurements that indicated a negative CH4 flux (only one such measurement was obtained). Methane flux measurements accompanied by erratic CO2 emission rates (nighttime measurements only) were also rejected because such erratic CO2 emission data suggest that errors may have occurred during pre-evacuation of the sample bottles or in the gas chromatography analysis (12 measurements). original level. A portion of the gas (about 30 mL) was transferred into a 20-mL vacuum bottle for the purpose of measuring the mixing ratio of CH4 by using a gas chromatograph (GC-14A; Shimadzu, Kyoto, Japan) equipped with a flame-ionization detector. After the gas sampling, the rice roots in the pot were gently and thoroughly washed with water. The aboveground parts and roots of the rice plants were oven-dried at 80°C for 72 h to measure dry matter weight. Sampling of rice plants and soil bubbles Calculation of the dissolved and gaseous CH4 inventories in the soil Within 2 hours after the collection of pots from the field, the aboveground parts of the rice plant were severed above 3 cm from the soil surface and removed, and soil bubbles were collected from each pot using a method described by Uzaki et al. (1991). Each pot was placed into a large bucket (35 × 50 cm, D × H) containing 30 L of tap water, and an inverted plastic funnel (30 cm in diameter) with a rubber cap in the spout was filled with water up to the level of the stopper and then placed with its rim below the water and positioned above the pot to collect any bubbles released when the soil in the bucket was manually stirred by hand (Fig. 1). Three minutes was enough to complete the manual ejection of the bubble. The gas space developed in the cone of the funnel was then extracted with a 60-mL plastic syringe until the water level returned to its We calculated the amounts of CH4 present in the gaseous phase and dissolved in the aqueous phase using the volume ratio of the two phases and the mixing ratio of CH4 in the gas phase (Tokida et al. 2005). We assumed that CH 4 was in equilibrium between the two phases (Watanabe and Kimura 1995) according to Henry’s law (Clever and Young 1987). We also assumed that the pressure of the gas phase was 101.325 kPa (1 atm) because hydrostatic pressure was relatively small (< 2% of air pressure). Water temperature at soil-bubble sampling was measured and assumed to be equal to the temperature of gas and aqueous phase of the pot. To evaluate the importance of the gas-phase in the CH4 inventory, we estimated the fraction of gaseous CH4 in the total syringe funnel Rice pot Fig. 1 Diagram showing how gas bubbles were collected from the rice pots. This is a self-archiving file for Tokida et al. 2012 published in Plant and Soil, DOI: 10.1007/s11104-012-1356-7. The final publication is available at http://www.springerlink.com/content/x508n4701m5l1215/?MUD=MP. (gas + solution) inventory (r) which can be theoretically calculated from r = x / [x + (1/H)], (1) where x is the volumetric ratio of gas to water content and H is the dimensionless Henry’s law constant (Tokida et al. 2009). Note that H is temperature dependent and can be reasonably approximated in the range from 0°C to 40°C by H = –5.742 × 10-5 T3 + 8.91× 10-4 T2 + 0.479 T + 17.4 (2) where T is the temperature (°C). To estimate x, the solid content was directly measured in addition to the volume of bubbles, and the water content was estimated by subtraction. Statistical analyses (Littell et al. 2006). Percentage data were arcsine-transformed to homogenize the variance before statistical analysis (Gomez and Gomez 1984). A simple correlation analysis was performed to determine the most important factors controlling CH4 emissions. The potential explanatory variables included surface soil temperature, parameters related to the bubble-borne CH4 pool (bubble volume, mixing ratio of CH 4, and mass of bubble-borne CH4), and plant parameters (aboveground and root biomass, tiller number, and dark respiration from the nighttime measurement). Methane flux and temperature data were analyzed separately for the day and night values, but for the parameters related to the CH4-pool and rice plants, the same values were used for day and night because they were determined by destructive sampling. RESULTS The effects of high [CO2] and elevated temperature treatments were analyzed by ANOVA for a split-plot randomized complete-block experimental design with three replications; [CO2] was treated as the fixed-effect whole-plot factor and temperature as the split-plot factor. In addition, growth stage was treated as a fixed-effect repeated-measures with the experimental units as subjects. The computations were performed with PROC MIXED of SAS v9.2 (SAS Institute, Inc., Cary, NC) by the restricted maximum-likelihood method to test the main effects and interactions of the fixed effects Table 1 Effects of [CO2] and soil temperature on plant growth parameters at three different growth stages in a CO2-enrichment and elevated-temperature growth experiment with paddy rice. Stage Panicle formation Heading Grain filling Statistics Rice growth Overall, the rice growth parameters responded similarly to the [CO2] and temperature treatments whether the rice was grown in the pots or in hills (Tokida et al. 2010). Although not statistically significant, FACE tended to increase both the aboveground (P = 0.18) and root biomasses (P = 0.12). Soil warming stimulated the aboveground biomass significantly (P < 0.001) but its effect on root biomass depended on the growth stage of the rice (P < 0.05 for Stage × Temperature): at panicle formation, there was no discernible difference between the FACE-ET FACE-AT Amb-ET Amb-AT FACE-ET FACE-AT Amb-ET Amb-AT FACE-ET FACE-AT Amb-ET Amb-AT Aboveground biomass (g pot–1) 30.7 26.2 28.2 23.0 62.7 52.2 56.9 49.4 87.2 78.4 80.0 76.7 Root biomass (g pot–1) 4.5 4.6 4.6 4.4 5.4 5.4 4.9 5.2 4.8 5.6 4.4 5.1 6.9 5.7 6.2 5.2 11.7 9.7 11.7 9.4 18.1 14.0 18.2 15.1 Tiller number (# pot–1) 33.4 34.2 34.6 33.7 28.9 28.6 31.1 30.2 28.1 27.6 26.0 27.3 CO2 ns (P = 0.18) ns (P = 0.12) ns ns *** ** *** ns CO2 × T ns ns ns ns Stage (S) *** *** *** *** S × CO2 ns ns † ns S×T ns * *** ns S × CO2 × T ns ns ns ns Treatment Temperature (T) ns, not significant; †, P < 0.1; *, P < 0.05; **, P < 0.01, ***, P < 0.001 Treatment abbreviations: FACE, free-air CO2 enrichment by 200 μmol mol–1 above ambient; ET, elevated temperature by 2°C above ambient; AT, ambient temperature; Amb, ambient CO2. 5 Shoot-to-root ratio This is a self-archiving file for Tokida et al. 2012 published in Plant and Soil, DOI: 10.1007/s11104-012-1356-7. The final publication is available at http://www.springerlink.com/content/x508n4701m5l1215/?MUD=MP. 6 Table 2 Attributes of CH4 in bubbles trapped in the soil and the non-bubble flux of CH4 to the atmosphere in different treatment plots at three growth stages in a CO2-enrichment and elevated-temperature growth experiment with paddy rice Stage Panicle formation Heading Grain filling Statistics Treatment Bubble volume (mL pot–1) FACE-ET FACE-AT Amb-ET Amb-AT FACE-ET FACE-AT Amb-ET Amb-AT FACE-ET FACE-AT Amb-ET Amb-AT 42.6 29.4 34.4 21.7 92.8 88.0 88.8 83.2 118.1 100.2 112.1 97.7 Mixing ratio of CH4 in bubbles (%) 5.5 2.1 5.2 1.6 13.5 19.5 18.7 18.1 43.5 25.5 44.4 27.7 1.6 0.4 1.1 0.2 6.2 8.8 8.2 7.9 25.8 12.9 24.5 14.8 Fraction of gas-phase CH4 inventory to the total (%) 45 36 40 26 61 60 61 60 68 64 67 65 CO2 ns ns ns ns ns ns Temperature (T) ** *** ** *** * † CO2 × T ns ns ns ns ns ns Stage (S) *** *** *** *** *** * S × CO2 ns ns ns * ns (P = 0.13) ns S×T ns *** *** ** † ns S × CO2 × T ns ns ns ns ns ns Bubble CH4 storage (mg C pot–1) Daytime CH4 flux (mg C m–2 h–1) 14.2 7.3 14.6 7.7 25.1 24.4 26.8 28.9 41.4 14.6 21.0 14.0 Nighttime CH4 flux (mg C m–2 h–1) 21.1 11.0 18.6 15.3 16.2 15.3 19.0 18.5 12.6 9.1 13.2 12.2 ns, not significant; †, P < 0.1; *, P < 0.05; **, P < 0.01; ***, P < 0.001 Treatment abbreviations: FACE, free-air CO2 enrichment by 200 μmol mol–1 above ambient; ET, elevated temperature by 2°C above ambient; AT, ambient temperature; Amb, ambient CO2 ambient and elevated temperature treatments, but at heading the elevated temperature treatment had a significantly reduced root biomass, and the degree of root-mass reduction was greater at the grain filling stage (Table 1). Such contrasting effects of temperature on aboveground and root biomass were reflected in the shoot (aboveground) to root ratio; it was always larger in the elevated temperature than ambient temperature treatments (P < 0.001), and the difference became larger at successive growth stages (P < 0.001 for Stage × Temperature). Pool size of gas-phase CH4 in the soil The use of pots enabled us to accurately quantify the CH4 pool in bubble form in the flooded soil. The volume of the bubbles increased with growth stage (Table 2). Elevated temperature significantly increased the volume of bubbles (P < 0.01), especially at the panicle formation (+51%, averaged over the [CO2] treatments) and grain filling stages (+16%). Elevated [CO2] also tended to increase the volume of bubbles, especially at panicle formation (+28%, averaged over the temperature treatments), although the difference was not statistically significant. Gas composition analysis revealed a high mixing ratio of CH4 in the trapped gas bubbles (Table 2) which increased over the growing season and exceeded 35% at the grain filling stage (averaged over the CO2 and temperature treatments). The soil warming treatment increased the CH4 mixing ratio at panicle formation (+189%) and at grain filling (+65%), but not at heading. The effect of FACE on the mixing ratio of gas in bubbles was not obvious at any stage. The amount of CH4 in bubble form built up over time: 0.8 mg C pot–1 at panicle formation, 7.8 mg C pot–1 at heading, and 19.5 mg C pot–1 at grain filling (averaged over the four treatments) (Table 2). The warming treatment dramatically increased the storage of CH4 in gas form at panicle formation (+379%) and at the grain filling stage (+81%), but not at heading. A significant FACE effect was seen only at panicle formation (+55%). The presence of entrapped bubbles allowed the gas-phase CH4 to be a major component of the soil CH4 pool (Table 2). The proportion of the total CH4 (gaseous + dissolved form) present in bubbles was 37% at panicle formation, 61% at heading, and 66% at grain filling (averaged over the four treatments). Elevated temperature increased the gas-phase fraction at all stages (P < 0.001), but more at panicle formation This is a self-archiving file for Tokida et al. 2012 published in Plant and Soil, DOI: 10.1007/s11104-012-1356-7. The final publication is available at http://www.springerlink.com/content/x508n4701m5l1215/?MUD=MP. than at the other stages, as indicated by the significant “stage × temperature” interaction. Elevated [CO2] also appeared to increase the gas-phase CH4 at panicle formation. The mixing ratio of CH4 in trapped bubbles was well approximated by a bounded function using the volume of trapped bubbles as the explanatory variable across the three growth stages (Fig. 2). At panicle formation, the mixing ratio of CH4 was relatively low, but within that range of values a higher mixing ratio of CH4 was associated with a linear increase in gas volume. Results from the heading and grain filling stages also showed an increasing bubble volume with a higher mixing ratio, but the relative increase in volume was less at these higher mixing ratios. 120 100 4 80 3 60 2 40 1 PF HD GF 20 0 Bubble volume (mL pot–1) Volumetric gas content (y, %) 140 R2 = 0.88 5 0 0 20 40 60 Mixing ratio of CH4 (x, %) Flux of CH4 into the atmosphere At panicle formation and heading, the CH4 concentration in the flux-measurement chamber showed a linear build-up with time in most measurements, both during the day and at night (Table 3). However, at grain filling, only about half the samples met the criteria for non-bubbling emissions. The flux results presented hereafter refer only to non-bubbling measurements a: negative flux at any sampling interval or erratic CO2 flux 90 PF-day 80 PF-night 70 HD-day 60 HD-night 50 GF-day GF-night 40 30 20 10 Fig. 2 Relationship between the mixing ratio of CH4 in soil gas bubbles and the volume of gas bubbles expressed either as volumetric gas content (left y axis) or bubble volume per pot (right y axis). PF = measurements at panicle formation; HD = measurements at heading; GF = measurements at grain filling. Table 3 Number of CH4 concentration measurements that could be categorized as non-bubbling, influenced by bubbling, or flawed. Correlation between explanatory variables and the CH 4 flux and CH4 pool Methane flux (mg C m–2 h–1) y = –4.85 exp(–0.0701x) + 5.39 6 unless otherwise noted. The absolute emission rate and its response to elevated [CO2] and soil temperature in this experiment were similar to those observed from rice hills without pots (Tokida et al. 2010). The effect of FACE on CH4 flux was not statistically significant in the current study, whereas elevated temperature significantly increased the CH4 flux at panicle formation (+84% averaged over the four treatment plots) and grain filling stages (+99%) (Table 2), but not at heading. For all of the measurements combined (three growth stages and daytime and nighttime), temperature exhibited the highest correlation with CH4 flux (r = 0.60, P < 0.001, Fig. 3), followed by trapped-bubble volume (r = 0.51, P < 0.001, Table 4). 160 7 0 20 22 24 26 28 30 Soil temperature at 0 cm depth ( C) Fig. 3 Relationship between daytime (day) and nighttime (night) CH4 flux and soil temperature (0 cm). A covariance analysis (soil temperature as covariate) indicated that daytime CH4 flux was significantly higher than the nighttime flux at the heading stage (P < 0.001) and marginally significantly higher at the grain filling stage (P = 0.08). PF = measurements at panicle formation; HD = measurements at heading; GF = measurements at grain filling. Examining each growth stage separately, at the panicle formation and heading stages the mass of CH4 in the form of bubbles (“Bubble-CH4” in Table 4) produced the highest Pearson’s correlation coefficient of all possible variables both Category Non-bubbling Bubbling Flawed with other artificial errorsa 7 Panicle formation Day Night 34 29 2 0 – 7 Stage Heading Day Night 30 30 5 4 1 2 Grain filling Day Night 16 18 20 15 – 3 This is a self-archiving file for Tokida et al. 2012 published in Plant and Soil, DOI: 10.1007/s11104-012-1356-7. The final publication is available at http://www.springerlink.com/content/x508n4701m5l1215/?MUD=MP. 8 Table 4 Pearson’s correlation coefficient between CH4 flux and potential explanatory variables at different stages of rice crop development Stage Panicle formation Variables Day Temp 0.49** Vb Night All data Heading Grain filling Day Night Day Night 0.73*** 0.28 0.23 0.63** 0.26 0.60*** 0.86*** 0.68*** 0.47** 0.44* 0.46† 0.62** 0.51*** Mb 0.69*** 0.35† 0.47** 0.52** 0.53* 0.43† 0.38*** Bubble-CH4 0.90*** 0.83*** 0.64*** 0.59*** 0.62* 0.50* 0.35*** AGB 0.57*** 0.35† 0.27 0.17 0.30 0.03 0.29*** RB 0.12 –0.01 0.30 0.23 –0.20 –0.40 Till 0.01 0.01 0.31† 0.23 0.34 –0.39 CO2 – 0.81*** – 0.27 – –0.14 0.16* –0.06 – Gas bubbles as a major pool of CH4 in paddy soil In our results, CH4 in the gas phase accounted for a significant fraction (26–45%) of the total soil pool of CH4 at the panicle formation stage and came to dominate the inventory at the heading and grain filling stages (Table 2). Clearly, the size of the gas-phase CH4 pool was larger than that of the dissolved form. These results showed a sharp contrast to the conventional wisdom that CH4 occurs in dissolved, not gaseous, form in rice paddy soil (e.g. Bossio et al. 1990). We estimated the ratio of gaseous CH4 to the total (gas + solution) inventory as a function of the mixing ratio of CH4 in the gas phase at 25°C (Fig. 4), using the relationship shown in Fig. 2 and Eq. (1). Our calculations suggest that even if the mixing ratio of CH4 is as low as 4% (with a corresponding gas content of only 1.7%), >40% of CH4 occurs in the form of gas bubbles. As the mixing ratio increases, the fraction in the gas phase also increases progressively, but the amount of trapped gas plateaus at a volumetric gas content of ~5% at a CH4 mixing ratio of ~40%, and the fraction of gaseous CH4 inventory correspondingly plateaus at ~68% (Fig. 4). 40 3 30 2 Fraction in gas phase 20 Volumetric gas content Volumetric gas content (%) DISCUSSION Fraction of CH4 in gase phase to total (%) †,daytime P < 0.10;and *, Pnighttime < 0.05; **,fluxes. P < 0.01; P <filling, 0.001 the mass of for At***, grain Temp: soil temperature (at 0 cm depth), Vb: bubble volume per pot as volumetric gas content (m3 m–3), Mb: mixing ratio of CH4 in bubbles, CH4 in the form of bubbles produced a significant correlation Bubble-CH4: mass of CH4 in the form of bubbles, AGB: above ground biomass, 80 RB: root biomass, Till: tiller number, CO 2: CO2 efflux (dark 6 with both ofdaytime respiration rice plant).and nighttime CH4 flux, whereas temperature exhibited a high correlation with the daytime flux. 70 5 The volume of gas bubbles (Vb) showed the best correlation for nighttime measurements. In most cases, rice growth parameters 60 did not have a significant correlation with CH4 flux except for 4 50 aboveground biomass at panicle formation (Table 4). 1 10 0 0 0 10 20 30 40 50 60 Mixing ratio of CH4 in gas phase (%) Fig. 4 Fraction of CH4 in gas-form to the total (gas form + solution form) inventory as a function of the mixing ratio of CH4 in the gas phase at 25°C. The relationship shown in Fig. 2 and Eq.1 was used for computation of these curves. How does the gas pool size affect the rate of CH4 emission? The results of the present study clearly demonstrate a close relationship between the size of the gas pool and the flux of CH4 in rice fields (Table 4). Enhanced CH4 emissions in the warming treatment at the panicle formation and grain filling stages accompanied a larger CH4 pool in bubble form (Table 2), indicating a consistent relationship between the gas pool and CH4 flux under different temperature regimes. This is a self-archiving file for Tokida et al. 2012 published in Plant and Soil, DOI: 10.1007/s11104-012-1356-7. The final publication is available at http://www.springerlink.com/content/x508n4701m5l1215/?MUD=MP. Because we omitted bubbling emissions from the flux measurements, the size of the CH4 pool in entrapped bubbles influenced the flux measurements mainly through plant-mediated CH4 emission (Nouchi et al. 1990; Wang et al. 1997), which is driven by molecular diffusion (Denier Van Der Gon and Van Breemen 1993). Because diffusion is controlled by a difference in concentration gradient, not by pool size, the CH4 mixing ratio (Mb in Table 4) ought to be the bubble-related parameter most closely related to CH4 flux. However, the volume of bubbles (Vb) had a similar, or in most cases better, correlation with CH4 flux than the CH4 mixing ratio. The volume of bubbles can affect the rate of plant-mediated CH4 emission by enhancing the diffusive (passive) uptake of CH4 by the rice root. When solution-phase CH4 comes in contact with rice roots, a boundary layer exists in the soil in the vicinity of the root surface where CH4 transport is limited by the diffusion of the gas in the soil water. A mechanistic diffusion model would give us clear exposition in this regard; the diffusion of CH4 within the soil is by far the slowest process in the soil–plant system if the soil is saturated with water (Van Bodegom et al. 2001). The CH4-rich bubbles in contact with the roots would allow for much faster CH4 movement into the roots because the coefficient of diffusion is about four orders of magnitude greater for gases that are in the gas phase compared to that in the dissolved state (Himmelblau 1964). The greater the bubble volume, the larger would be the area of direct contact between the roots and the bubbles, leading to a lower resistance for CH4 transport. These interpretations are consistent with previous findings that the removal of gas bubbles by brief evacuation resulted in an immediate reduction of the CH4 emission rate, indicating enhanced plant-mediated transport in the presence of bubble reservoirs (Holzapfel-Pschorn et al. 1986). Although our results indicate that the gaseous CH4 pool plays an important role in controlling CH4 emission, considerable unexplained variation in the CH4 flux remains. The largest variation is that between the growth stages of rice; the bubble-borne CH4 pool at grain filling was more than double that at heading, but the flux did not increase proportionally (Table 2). The accumulation of CH4-containing bubbles (and of CH4 dissolved in the soil water) appears not to have contributed to commensurately larger CH4 emission at grain filling; the CH4 transport capacity of rice at this stage might have been lower due to senescence (Nouchi et al. 1994). Cheng et al. (2008b) observed a positive relationship between CH4 flux and CH4 concentration in soil solution before heading, but afterwards the CH4 emission decreased with increased CH4 concentration. The results of both studies strongly indicate a need to understand the change in CH4 transport capacity with rice growth and senescence, because the plant-mediated release may be limited by transport capacity rather than by pool size in the soil in the later growth stages. The absence of a stimulatory effect of soil warming on CH4 emissions at heading (Table 2) may also be linked to rice phenology, as elevated temperature accelerated the day of heading by 4 days (Tokida et al. 2010). Another large source of unexplained variation is the 9 difference between day and night CH4 flux (Table 4). Several studies have shown that the diurnal variation in CH4 flux is associated with a change in soil temperature (Holzapfel-Pschorn and Seiler 1986; Sass et al. 1991; Schütz et al. 1989; Wang et al. 1999). However, covariance analysis with temperature as the covariate suggested that CH4 fluxes from daytime measurements were significantly higher than those from nighttime at the heading stage (P < 0.001) and marginally significantly higher at the grain filling stage (P = 0.08) even at the same temperature (Fig. 3). We speculate that the bubble volume might increase during daylight hours, which in turn increases the daytime CH 4 emission, though it was not possible to directly quantify the diurnal change in bubble volume in the present study. Theoretically, a rise in temperature directly leads to a greater bubble volume by gas expansion (Charles's law) and also by degassing from the aqueous to the gas phase (due to smaller solubility), with the latter making the greater contribution (Tokida et al. 2009). Consequently, the warming temperature phase (i.e., during daylight hours) would bring about a greater volume and larger emissions. On the other hand, the subsequent cooling phase (nighttime) would result in smaller volume and flux even at the same temperature as a result of hysteresis; the greater CH4 emission during the ascending temperature trend might result in smaller pool size of CH4 during the descending trend. Additionally or alternatively, bubble-induced mass flow might contribute to the diurnal fluctuation in CH4 flux. Hosono and Nouchi (1997) observed that entrapped gas bubbles formed in direct contact with the base of the stem of rice plants at a shallow depth in the soil (e.g., 1 cm). Their laboratory experiment further suggested that a small increase in gas pressure (1 kPa, equivalent to ~10 cm head of H2O) around the base of the stem can cause a three-fold increase in CH4 emission through the rice plant, indicating the presence of convective rather than diffusive flow through the soil–plant system. Implications for ebullition and modeling We did not investigate bubbling CH 4 release (ebullition) from the paddy soil in this study, but the relationship between bubble volume and the mixing ratio of CH4 in Fig. 2 indicates the presence of a “threshold volume” beyond which gas bubbles escape into the atmosphere as the soil–root matrix cannot hold them any longer (Fig. 2). The greater frequency of non-linear CH4 accumulation in the chamber during flux measurements at grain filling also highlighted the potential importance of ebullition after the heading stage (Table 3). Our results provide some insights for models of CH 4 emission from rice paddies. Most existing models do not account for the bubble-borne CH4 pool in soil; in most cases they assume either (i) that there is no CH4 pool in the soil as a result of instantaneous CH4 emission from net CH4 production (production–consumption) (Cao et al. 1995; Sass et al. 2000), or (ii) that soil CH4 exists only in the dissolved state (Fumoto et al. 2007). Some models simulate CH4 release via bubbling, the This is a self-archiving file for Tokida et al. 2012 published in Plant and Soil, DOI: 10.1007/s11104-012-1356-7. The final publication is available at http://www.springerlink.com/content/x508n4701m5l1215/?MUD=MP. rate of which is determined by the rate of CH4 production in combination with some thresholds above which the produced CH4 is emitted instantaneously to the atmosphere (Huang et al. 2004; Xu et al. 2007). Omission of the bubble-borne CH4 pool might be a reasonable simplification, but would limit the model's suitability under several situations when bubbling release is important, such as release associated with seasonal (Bosse and Frenzel 1998; Wassmann et al. 1996) and diurnal variation (Byrnes et al. 1995; Denier Van Der Gon and Neue 1995) and drainage events (Denier Van Der Gon et al. 1996; Han et al. 2005; Watanabe et al. 1994). As indicated in the present study, the amount of gaseous CH4 in the soil may also affect the rate of CH4 emission through rice plants. Although the relationship found in this study (Fig. 2 and 3) is still empirical, we suggest that its utilization in existing CH4-emission models may be a simple method of explicitly incorporating the bubble-borne CH4 pool in soil without violating mass conservation constraints. REFERENCES [1] [2] [3] [4] [5] [6] [7] [8] [9] [10] CONCLUSIONS The results obtained in this study clearly show that entrapped bubbles represent a major CH4 inventory, even in soil that is regarded as water-saturated. The gaseous CH4 pool showed a good correlation with rice-mediated emissions obtained at each growth stage across both the ambient and elevated [CO2] (+200 μmol mol–1) and warming (+2°C) treatments. However, the pool size alone could not explain the variation across different rice growth stages, indicating that the transport capacity of rice plants can also limit the rate of plant-mediated emissions. Our hypothesis based on the present results is that a greater bubble volume may lead to faster CH4 transfer from the soil to the roots because gas diffusion is about four orders of magnitude greater in the gas phase than in the liquid phase. 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