LIMNOLOGY November 1996 AND Volume 41 OCEANOGRAPHY Number 7 Lwnnol. Oceanogr., 41(7), 1996, 1375-1383 0 1996, by the American Society of Limnology and Oceanography, Inc Trapped methane volume and potential effects on methane ebullition in a northern peatland Elizabeth J. Fechner-Levy’ and Harold F. Hemond2 Department of Civil and Environmental Engineering, Massachusetts Institute of Technology, Cambridge 02 139 Abstract A novel way of estimating the gas bubble volume in the floating mat sediment of a peatland was developed at Thoreau’s Bog in Concord, Massachusetts. Statistically significant relationships between the buoyancy of the floating Sphagnum mat and atmospheric pressure were observed, and these relationships were used to estimate the gas bubble volume. The mass of CH, stored in gas bubbles is estimated to be as much as 3 times the mass of dissolved CH,, depending on the time of year. The gas bubble volume is frequently large enough to serve as a significant buffer between microbial production of CH, and the release of CH, to the atmosphere. Changes in atmospheric pressure, temperature, and water-table elevation may result in modulation of the ebullitive CH, flux. Periods of rapidly rising atmospheric pressure or equivalent pressure changes due to water-table elevation are capable of arresting bubble volume growth, thereby halting CH, ebullition. Periods of rapid cooling of the bog could also temporarily halt ebullition, as thermally induced contraction of bubbles and dissolution of CH, offset bubble volume growth due to methanogenesis. Methane is a greenhouse gas whose tropospheric concentration is increasing at an annual rate of - 1% (Khalil and Rasmussen 1990). A significant source of tropospheric CH4 is releases from northern peatlands (Aselmann and Crutzen 1989; Fung et al. 199 1). Published estimates of the magnitude of CH, fluxes from northern peatlands vary considerably, most likely owing to the high spatial and temporal variability of peatland flux measurements (e.g. Roulet et al. 1994). Methane enters the atmosphere through several processes: diffusion, ebullition (Chanton and Martens 1988; Lansdown et al. 1992), and transport through plants (Morrissey and Livingston 1992). Ebullition, or bubbling, has been proposed as the dominant CH, transport process in many environments, including a temperate bog in Washington (Lansdown et al. 1992) beaver ponds in northern Ontario (Bubier et al. 1993) wetlands on the Amazon floodplain (Devol et al. 1SSS), and floating grass * Present address: Abt Associates Inc., 4800 Montgomery Bethesda, Maryland 208 14. 2 Corresponding author. Lane, Acknowledgments We thank B. Levy for statistical assistance. We also appreciate the comments provided by Nigel Roulet and anonymous reviewers. We acknowledge the partial support of NSF grants BSR 9 l11427 and EAR 93-04471. mats in the Amazon (Bartlett et al. 1988, 1990). At one site in a tidal freshwater estuary, the ebullitive flux was estimated to equal the diffusive flux (Chanton et al. 1989). Ebullition could account for the high spatial and temporal variability of chamber-based CH4 flux measurements. For example, ebullition may occur through discrete channels (bubble tubes) in the sediment (e.g. the work of Martens et al. 1980 in subtidal sediments), and individual chambers may sample only a small number of wetland bubble tubes. However, the ability of ebullition to introduce temporal variability in CH, fluxes must be related to the ability of the peatland sediment to store or accumulate gas-phase CH, between episodic releases. Thus, estimation of the magnitude of CH4 gas storage in peatlands, as discussed herein, is important in determining the extent to which ebullition causes temporal variability in CH, release from peatlands. Initial CH, bubble formation in shallow water or sediments requires a CH, partial pressure of only -0.2 atm, with the remaining 0.8 atm partial pressure being provided by NZ. As CH, continues to be produced and gases escape by ebullition, N, is stripped from the system. Partial pressures of N2 ~0.8 atm in sediment pore waters have been observed (e.g. Army 1987; Chanton et al. 1989). The partial pressure of CH4 in the sediment pore waters may thus approach absolute hydrostatic pressure. In some locations, supersaturation of dissolved CH, in peat pore waters has been measured (e.g. Romanowicz et al. 1993; Army 1987). 1375 1376 Fechner-Levy and Hemond Changes in absolute hydrostatic pressure clearly should affect the amount of ebullition that occurs in submerged, organic-rich sediments. Moore et al: (1990) found that lowering the water table in fens in subarctic Quebec by 5-l 0 cm led to degassing of CH,. Similarly, Chanton et al. (1989) found that ebullition from subtidal freshwater sediments in an estuary was triggered by changes in hydrostatic pressure due to tides. Maximum bubble release occurred when hydrostatic pressure was at a minimum. The influence of atmospheric pressure on ebullition has also been noted. Ebullition from sediments in a New Hampshire lake was correlated with changes in local air pressure (Mattson and Likens 1990), and episodic emissions of CH4 from beaver ponds may be associated with low atmospheric pressures (Bubier et al. 1993). Episodic emissions of CH4 from a Minnesota peatland were associated with decreases in atmospheric pressure as well as a declining water table (Shurpali et al. 1993). Although stored gas volume and ebullition are closely linked, we found only one in situ measurement of bubble volume in the literature: Chanton et al. (1989) measured the volume of CH4 in bubbles in subtidal freshwater sediments by corralling pyramid samplers with planks and stirring the sediment to a depth of 1 m beneath the samplers to release the gas bubbles. After measuring the dissolved CH, inventory, Chanton et al. concluded that the sedimentary gas bubble reservoir comprised lo-30% of the total CH4 present in the sediments. In the present study, we explore an indirect approach to the measurement of gas bubble volume based on the buoyancy of gas bubbles. We test the hypothesis that variations in the buoyancy of peatland sediments are caused by variations in the gas bubble volume due to changes in atmospheric pressure. This pressure-volume effect is the same effect that causes a toy Cartesian diver to float or sink in response to changes in pressure imposed, via a flexible membrane and the water column, on the trapped gas of the diver. We then use the magnitude of the buoyancy response to changes in atmospheric pressure to calculate the entrapped CH4 bubble volume and the variation of this volume over time. Knowledge of the entrapped CH, bubble volume, in turn, allows us to quantitatively estimate the effects of changes in atmospheric pressure and temperature on CH4 ebullition from a northern peatland. Materials and methods Study site-Our research was done at Thoreau’s Bog in Concord, Massachusetts (Fig. 1). This ombrotrophic bog is dominated by Sphagnum spp. and low woody shrubs, particularly Chamaedaphnc calyculata. The pore water is acidic and dominated by humic substances. This site has been previously characterized with respect to vegetation, hydrology, and several element budgets (Hemond 1980), nitrogen cycling (Hemond 1983), dissolved humic substances (McKnight et al. 1985), dissolved CH, profiles (Hemond et al. 1987), and CH4 emissions (Fechner and Hemond 1992). It is of particular relevance to this study that the Sphagnum and peat sediment of the bog forms a floating (Hemond mat th;st rises and falls with the water table 1980). Measurement Gf mat and water levels-Thoreau’s Bog is instrumented with a mat-level recorder and a waterstage recorder (Fig. 2). Both recorders are Stevens Type F recorders run on 32-d cycles and geared for a 1 : 1 relationship between change in stage and pen displacement on the chars. The mat-level recorder is located on a fixed platform made of open-mesh expanded metal on a rigid steel frame supported by polyvinyl chloride-encased iron pipes sunk into the mineral soil beneath the bog. A stake made of steel angle iron (h 0.5 m long) is driven into the mat beneath the recorder so that the stake moves up and down with the mat. The water-stage recorder uses a float and stilling well (Hemond 1980). Elevations of the floating sediment mat and water table at Thoreau’s Bog were measured during the ice-free periods from 24 Jute 1988 through 26 July 199 1. Data were digitized with a Calcomp 9000 digitizer board that has resolution better than 1 mm. Data were digitized at 8-h intervals, and time was recorded to the nearest half hour. Visual inspection of the mat- and water-level recorder charts shows int#:rvals of stage decrease due to evapotranspiration during daylight (Hemond 19 80). These tluctuations, on the order of a millimeter, are superimposed on changes on th,= order of tens of centimeters in the mat and water elevations associated with seasonal rise and fall of the water table. Atmospheric pressure -Atmospheric pressure is recorded hourly at Hanscom Field in Bedford, Massachusetts (IV 2.4 km tc, the east of Thoreau’s Bog). We obtained these atmospheric pressure data from the National Center for Climatic Data. When our analyses of data from Thoreau’s Bog required pressure readings on the half hour, we calculated the arithmetic mean of the previous and subsequent hourly pressure readings. Relationship of buoyant force to floating mat elevation -Changes in elevation of the floating sediment mat relative to the water table (referred to as relative mat level or relative mat elevation) result from changes in buoyant force, which we attribute to changes in the volume of gas bubbles trapped within the floating sediment mat. The relationship between changes in the floating mat elevation with respect to the water table and changes in the net buoyant force acting on the mat was previously determined with an apparatus described by Fechner and Hemond (1992). 13riefly, we carefully removed cores of Sphagnum and peat from the upper 30-40 cm of the floating mat with a 12.7-cm-diameter, thin-walled steel coring tube with a sharpened lower edge. This device was worked into the peat and the peat core then freed from the bog by reaching down the outside of the core tube and pulling up both the tube and its contained peat. In the laboratory, each peat core was hung freely from a toploading balance. with part of the core submerged in a tank of water. The core was allowed to equilibrate so that the water table in the core was close to its natural level and 1377 CH, volume and ebullition N Thoreau’s Concord p21 wetland Bog y I I 0 Fig. 1. Location was the same as the water level in the tank. The load on the balance at that water level was recorded. The water level was then lowered incrementally, the core allowed to reequilibrate, and a new weight recorded. This process was repeated until the water table in the peat core was below the range of interest. These experiments gave a relationship between relative mat level and buoyant force of 740 (dyn cm-l) cm-2. Calculation of gas bubble volume-Several steps were required to calculate the gas bubble volume in the peat (Fig. 3). In the first step, we identified all mat-level and water-level data from intervals at least 3 d in length in which absolute mat and water levels changed monotonically (i.e. mat and water levels were continuously rising or continuously falling). The purpose of excluding data outside of these intervals, or blocks, was to eliminate error due to hysteresis in the recording systems. Thirty-three blocks of data were identified, and all subsequent buoyancy analyses were based on thcsc blocks. In all 33 blocks, absolute mat and water levels were continuously falling. In the second step, absolute mat level within each block of data was regressed against absolute water level, resulting in an equation for mat level as a function of water level. This regression was performed for each block of data because the slope of the relationship between mat level and water table in each block was not exactly 1 : 1. (A 1 : 1 relationship may not exist, at least in part because the mat may not be entirely free of connection with the underlying sediments.) Then, within each data block, the relative mat levels were determined as the departure of each mat-level datum from the regression line (i.e. the residuals). 50m of Thoreau’s Bog. In the third step, we plotted the relative mat levels (residuals) in each block of data as a function of atmospheric pressure and then performed a second regression, between relative mat levels and atmospheric pressure. In the fourth step, we used the laboratory-derived relationship between peat buoyancy and relative mat level, together with the relationships calculated in the previous step between relative mat levels and pressure, to calculate changes in buoyancy as a function of changes in atmospheric pressure. Finally, in the fifth step, WC calculated gas bubble volume in the peat for each block of data by using the observed atmospheric pressure dependency of buoyancy for Water Level Recorder Mat Level Recorder 1 I-- Pulley 1 ~, w iig ht fl P”“ey -.---------- ----__ St&e - --- Open Water __ Stilling Well -\ \~ u A Fig. 2. m Schema ic of recorders at Thoreau’s Bog. Fech ner- Levy and Hemond 1378 Step 2 P Step 3 Extract residual c Pressure pressure Relative relationship mat level vs. buovancv step Peat buoyancy experiments (Fkhner & Hemond Fig. 3. Diagram 1992) of the steps required to estimate the gas bubble volume in the floating mat. the block (as determined in the fourth step), the ideal gas law, and the Henry’s law constant for CH4. Calculations in the fifth step can be made with either of two assumptions. One assumption is that changes in atmospheric pressure are more rapid than the establishment of equilibrium between gaseous and aq ueous CH4 phases. The volume change in an arbitrary volume of water and gas bubbles that results from an -atmospheric pressure change can then be computed by d ifferentiation bf the ideal ias law (Eq. la) with respect to pressure, yielding Eq. lb: PV, = nR7 (la) $J- -- -b dP 5 P’ P is the absolute pressure of the gas bubbles (taken as - 1.1 atm for a mean depth of 1 m below the water table), Vg is volume of gas bubbles, n is moles of gas bubbles, R is the universal gas constant, and Tis temperature. For the component of buoyancy due to gas bubbles, the derivative dVgldP is directly proportional to the rate of change of buoyancy with change in atmospheric pressure. The alternative assumption we use in the fifth step is that CH4 and N2 dissolved in the aqueous phase rapidly equilibrate with gas bubbles as atmospheric pressure changes. In this situation, Henry’s law must be used along with the ideal gas law. The result is a larger change in gas-phase volume than would otherwise occur for a given pressure change (i.e. an increase in pressure not only compresses the bubbles but causes some gas to dissolve). Under this assumption, the pressure-volume relationship is shown to be dVg_ -_--- -J’s dP P V/w (24 PH or ,3 dWg/ Ku) =---- Vg VW dP 1 H’ CW VWis the volum? of water in which Vg occurs as bubbles, and H is the dirnensionless Henry’s law constant for the gas. In this analysis, we use Henry’s law constants for CH4 calculated from Wiesenburg and Guinasso (1979). Because of the somewhat lower solubility of N2, a small decrease in magnitude of gas bubble volume change per unit pressure change results if the bubbles are partly N2. In our subsequent calculations, we use the second assumption of equilibrium, thus arriving at somewhat smaller estimates of Vg than would be calculated otherwise. Changes in Vg from one data block to another can result from gas loss by ebullition or from CH4 transfer between aqueous and gas bubble phases. The latter is influenced both by microbial CH, production, which increases the aqueous CH4 concentration and thus tends to result in an incl-ease in gas bubble volume, and by temperature, which affects the Henry’s law constant. Results Data on floating mat levels, water-table levels, and pressure were obtained over a 4-yr period during ice-free intervals (i.e. w nen the lagg was not frozen: June-December 1988, Marc+December 1989, June-December 1990, and April-July 199 1). The floating nature of the mat is 1379 CH, volume and ebullition 39 70 65 37 g 5 4 5 35 E P ‘Z d LL Sinking 33 50 45 31 15 20 25 30 Water-table level (cm) 35 40 ’ Fig. 4. Relationship between the absolute floating mat level and the absolute water-table level at Thoreau’s Bog, 24 June10 December 1988. The regression has a slope of 0.9 and an T* of 0.97. Note that levels are measured as distances below a fixed datum. clearly shown by plotting the absolute floating mat level vs. the absolute water-table level (Fig. 4). The regression between mat level and water level for June-December 1988 has a slope of 0.9 and a coefficient of determination (r2) of 0.97. One of the 33 blocks of data, comprising 26 d in June 1990, is plotted in Fig. 5. During this period, absolute elevations of both the water table and the floating mat decreased monotonically. The straight line represents the regression between absolute mat level and absolute watertable level over the block; the regression has a slope of 0.8 and an r2 of 0.99. As hypothesized, departures of the mat elevation from the regression lint (residuals) correspond systematically to episodes of increasing or decreasing atmospheric pressure. We performed a two-tailed t-test on the 33 blocks of data to determine whether the slope of the regression between relative mat elevations (residuals) and atmospheric pressure was significantly different from 0 at an cy level of 0.05. For 14 of the blocks, the slope was significantly different from 0; for 12 of these blocks, the slope was negative, as hypothesized. For these 14 blocks, we calculated the 95% confidcncc intervals around the slopes (Table 1). Of the remaining 19 blocks, 17 also had negative slopes, although they were not significantly different from 0 at an cylevel of 0.05 (Table 1). We think that errors associated with recording and digitizing data, as well as the simplifications of our buoyancy model, may have weakened the statistical significance of these regressions. We also conducted an analysis to determine whether the relative mat levels had a diurnal signal that could 1 3 5 7 Water-table level (cm) 9 11 Fig. 5. The absolute floating mat level and the absolute water table level at Thoreau’s Bog, l-26 June 1990. The regression has a slope of 0.8 and an r* of 0.99. Arrows indicate episodes of generally increasing or generally decreasing atmospheric pressure. Note that levels are measured as distances below a fixed datum. Thus, data below the regression line indicate that the mat is floating higher relative to the water table. partially explain the observed correlations. For each block, we applied a complex fast Fourier transform function to transform data to a frequency domain. We then examined the frequencies of the seven largest signals to determine if 24-h frequencies (i.e. diurnal fluctuations) were important. Of the 33 blocks, only six had a frequency between 23 and 24.5 h. Of these six blocks, two had significant correlations between residuals and pressure; the diurnal frequencies in these two blocks were the fifth and seventh largest signals, respectively. Based on the results of this analysis, as well as visual inspection of the records, we do not think that diurnal fluctuations of relative mat level due to evapotranspiration can explain the correlations between the relative mat level and atmospheric pressure. Diurnal fluctuations are typically < 1 mm in amplitude, and their major effect is probably the introduction of noise (as is the case with recording and digitizing errors). We noted that in many of the blocks that did not exhibit a significant correlation between relative mat level and pressure, the ranges of the residuals were smaller than the ranges present in blocks with significant correlations (Table 1). In Fig. 6, the 12 negative slopes that are significantly different from 0 are plotted as a function of the time of year; approximate average peat temperature at a depth of 60 cm, as measured in 1990, is also plotted for reference. The average regression slope for the 12 blocks having negative slopes is -0.016 cm mb-l. The greatest negative slopes ( - -0.03 cm mb-l) occurred in three blocks, all during the warmest months of the year. 1380 E 25 Fechner- Levy and Hemond -0.020 -0.015 : 0 E -0.010 ! J F M A M J J A S 0 N D Month Fig. 6. Plot of 12 regression slopes between relative mat levels and atmospheric pressure that were negative and significantly different from 0. Line represents approximate average peat temperature at a depth of 60 cm, as measured in 1990. The mean relationship between buoyant force and water-table height derived from laboratory studies (Fechner and Hemond 1992) was 740 (dyn cm-l) cm-2. Therefore, for a slope of -0.03 cm mb-‘, the rate at which the volume of CH4 bubbles (per cm2 of bog surface) must change with changing pressure is pg.% cm mb-l = -0.03 x 740 dyn cm-3 (34 or dVg_ -0.03 -dP cm mb-’ x 740 dyn crnm3 980 dyn cm-3 = -0.023 (cm3 cmd2) mb. (W Here, 980 dyn cm-3 is equal to pg, the weight density of water. If we assume that the peat is 2 m thick and has a total porosity of 0.8, the volume of pore water per cm2 of peatland surface is 160 cm3. Therefore, the rate of change of the ratio of gas bubble volume to water volume (V,l VW)with pressure is d(VglKJ dP d Vg 1 ’ 160 cm3 cm-2 = dP = (-1.4 Vg can then be determined --Vg--p Kv dVgW+J =0.15 mb - ;. by combining (4) Eq. 2b and 4: 1 dP = -1,110 x 10h4) mb-I. -E x [(-1.4 x 10-4) mb-11 - i (5) The value of l/H ranges from 0.04 to 0.05 for the range of temperatures encountered over the year in the bog; it is 0.04 at 15”C, which corresponds to summer months when gas volumes in the peat arc greatest. Thus, for a summertime relative mat level vs. atmospheric pressure slope of -0.03 cm mb-l, the calculated fraction of the peat porosity occupied by gas bubbles is estimated to be 11% (15% if equilibrium with dissolved CH4 is not invoked). The gas bubble content for the slope of -0.016 cm mb-r is 3-4’~ (8% if equilibrium is not invoked). The calculated gas bubble volumes become somewhat larger if bubbles contain N2, whose lower solubility moves the calculated gas bubble volume in the direction of the nonequilibrium result. These estima.;ed gas bubble volumes correspond to a sizable fraction of the total CH, content of the bog. For example, 3-4% CH,-filled pore space corresponds to a gaseous CH4 reservoir -90% the size of the dissolved CH4 reservoir, assuming a dimensionless Henry’s law constant for CH4 of 24 (at 15°C). An 11% CH,-filled pore space would correspond to -3 times the dissolved CH4 reservoir. Discussion The results of this analysis support the hypothesis that significant amounts of CH4 can be stored as gas bubbles at the study site. Calculations indicate that the gas bubble reservoir is at times large enough to serve as an important storage buffer between microbial production of CH4 and the release of Cl-I4 bubbles from the system. Release of CH4 by ebullition presumably occurs when the stored gas bubble volume increases beyond some critical value. Although we have :30 data that address details of this release process, such as’ information on bubble tube geometry and location, knowledge of the size of the stored gas bubble volume permits assessment of the effects of changes in atmospheric pressure, temperature, and water-table elevation on ebullition. Modulation qf CH4 ebullition by atmospheric pres- sure-Calculated gas bubble volumes are large enough that changes in atmospheric pressure are expected to affect the rate of ebullition from this site. For illustrative purposes, assun:e that the CH4 production rate in this peatland during warm weather is 4 x 1OA2 mol m-2 d-l, a value consistent both with rates of primary production in the bog (Herr ond 1980) and with CH4 flux estimates based on CH4 gradients in the acrotelm (Fechner and Hemond 1992). For the gas bubble volume, we use a representative value of 4% of total pore space, based on the results of the preceding analysis. We further assume that the gas bubble volume contains 100% CH4. If all produced CH, immediately enters the gas phase, bubble volume growth resulting from methanogenesis is - 1 liter rnw2 d-l. For comparison, when atmospheric pressure is increasing at a rate of 10 mb d-l, the calculated effect of decreasing bubble volume due to dissolution and compression (Eq. 2a:I is - - 1 liter m-2 d-l. Thus, we suggest that periods of rapidly rising atmospheric pressure are capable of arresting bubble volume growth, thereby halting CH4 ebullition. Conversely, periods of decreasing atmospheric pressure should lead to significantly enhanced CH4 volume and ebullition 1381 Table 1. Statistics for the 33 blocks of data. No. Slope* data (cm points cm- ‘) Block No. 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 24 Jun-8 Jul 88 29 Jul-6 Aug 88 7-23 Aug 88 26-29 Aug 88 30 Aug-4 Sep 88 5-9 Sep 88 23-27 Nov 88 29 Nov-3 Dee 88 3-9 Dee 88 9-12 Apr 89 30 May-2 Jun 89 2-6 Jun 89 18 Jun-5 Jul 89 l-7 Aug 89 14-19 Aug 89 8-14 Sep 89 8-l 1 Ott 89 lo-15 Nov 89 17-20 Nov 89 l-26 Jun 90 3-12 Jul90 17-24 Jul 90 28 Jul-6 Aug 90 12-18 Aug 90 30 Aug-15 Sep 90 23-27 Sep 90 11 Nov-3 Dee 90 16-20 Apr 9 1 22-26 Apr 91 7-12 Jun 91 21-28 Jun 91 1-12 Jul91 15-24 Jul 9 1 46 25 50 11 16 12 13 14 17 10 10 12 54 19 17 17 10 15 10 76 28 21 29 20 47 13 69 14 15 15 23 35 29 1.0 0.59 0.95 0.50 0.57 0.79 0.43 0.40 0.72 0.83 0.79 0.79 0.66 0.89 0.49 1.0 1.6 0.67 0.78 0.81 0.69 0.72 0.72 0.67 0.92 1.2 1.0 0.91 0.73 0.88 0.76 0.96 0.83 r2 Slope? (cm mb-l) Difference$ (cm) 0.98 0.98 0.99 0.95 0.96 0.87 0.90 0.90 0.84 0.96 0.87 0.79 0.98 0.98 0.94 0.99 0.83 0.93 0.99 0.99 0.98 0.99 0.98 0.98 0.99 0.98 0.98 0.97 0.97 0.99 0.99 1.0 0.99 -0.017 0.0045 -0.010 -0.0068 0.013 -0.003 1 -0.0026 -0.0020 -0.014 -0.0024 -0.00025 -0.0089 -0.029 -0.0020 -0.0073 -0.0028 -0.011 -0.0075 -0.0024 -0.016 -0.014 -0.0030 -0.030 -0.03 1 -0.016 0.0016 -0.0049 -0.0058 -0.00010 -0.0030 -0.0077 0.0082 -0.00056 0.92§ -0.0099 0.36 1.0 0.16 0.00097 0.35§ 0.53 0.14 0.17 0.51§ -0.0048 0.19 0.094 0.24 -0.019 0.76§ 0.18 0.25§ -0.00035 0.25 0.41 0.28§ -0.0034 0.086 -0.011 0.658 0.37§ -0.0091 0.21 -0.022 0.49$ 0.40$ -0.0078 0.848 -0.0088 0.20 0.71# -0.0016 0.13§ -0.0022 0.36 0.18 0.36 0.00066 0.48§ 0.43 95% C.L. for slope (cm mb-l) to -0.025 to 0.025 to -0.022 to -0.039 to -0.014 to -0.012 to -0.022 to -0.018 to -0.039 to -0.053 to -0.023 to -0.0083 to -0.0094 to 0.0 16 Mean of 14 slopes significantly different from 0: - 0.0 12 + 0.0 13 Mean of 12, negative slopes significantly different from 0: -0.0 16 +0.0094 Mean of 29 negative slopes: -0.0090&0.0088 * Slope of absolute mat level vs. absolute water level. t Slope of relative mat level vs. atmospheric pressure. $ Difference between maximum and minimum relative mat levels. 0 Slopes significantly different from zero at an a level of 0.05 (two-tailed bubble volume ullition. growth and thus trigger episodes of eb- Modulation of CH, ebullition by temperature-Changes in peat temperature are also expected to have a strong effect on ebullition rates. Consider again the above methanogenesis rate and its driving effect on stored bubble volume. To compare the bubble volume growth rate due to methanogenesis with the temperature dependency of the gas bubble volume, we can differentiate the expression for total mass of dissolved and gaseous CH, in the pore water: PV, RT+ V*P - Hd = total mass of CH4. @a) Differentiation t-test). with respect to temperature yields dV, _ Vg + -xV,,,RT dHd -_0) dT T Hd2 dT ’ Hd is the Henry’s law constant expressed as pressure divided by aqueous concentration (note that Hd = HRT). A suppression of bubble size during cooling results from two reinforcing effects - the contraction of the bubbles at constant pressure according to the ideal gas law (first term of Eq. 6b), and the repartitioning of CH4 from gas to aqueous phase as a result of the Henry’s law constant decreasing as temperature decreases (the second term). The Henry’s law constant decreases by - 11 (liter atm) mol-l per “C at typical bog temperatures of 6-l 6°C. Change in the Henry’s law constant results in the larger 1382 Fechner-levy and Hemond of these two effects; for example, at 12”C, the second term of Eq. 6b is - 6 times larger than the first term. The change in gas bubble volume per degree of temperature change can be estimated from Eq. 6b to be - 1.6 liters mm2. Therefore, in this example, the result is a decrease in bubble volume at a rate that could offset the calculated bubble growth rate due to methanogenesis if the rate of cooling were 0.6”C d- l. Although this is larger than the average rate of cooling of the bog during autumn, such a cooling rate is not implausible on an episodic basis. A third, additive effect of decreasing temperature is a decrease in the rate of methanogenesis. This effect, even for a Qlo value as high as 10 or 15 (Dunfield et al. 1993), has little influence on the analysis of a short episode of rapid cooling but has a large cumulative impact on ebullition over the cooling season. We suggest that CH4 emissions from many peatlands may decline precipitously with the onset of cool weather, with the decline being much more rapid than would be caused by the temperature dependence of methanogenesis alone. Conversely, the system should respond in the opposite manner to warming. In particular, a rapid spring “turn-on” of ebullition-more rapid than would be predicted from the temperature dependence of methanogenesis aloneis expected. Efect of variation in water-table elevation-The gas bubble volumes in many peatlands may be similar to those calculated for our study site, even if the peatlands are not floating. Although changes in buoyancy are much more difficult to measure in a nonfloating peatland, bubble volume should respond in the same way to atmospheric pressure and tempcraturc changes. Additionally, because the position of the water table relative to the sediment in a nonfloating peatland is more variable than it is in a floating peatland, changes in water-table elevation represent yet another mechanism that should be able to affect ebullition by decreasing or increasing hydrostatic ’ pressure within the pore water. This water-table effect is entirely independent of the known tendency of a falling water table to expand the unsaturated thickness of the peat and thus give rise to increased CH4 oxidation. The magnitude of this water-table effect may be comparable to that caused by atmospheric pressure change; for example, 1 mb corresponds to -3 cm of water, and thus temporary suppression of ebullition by an increase in atmospheric pressure of 10 mb would be mimicked by a 30-cm rise in water table. This suppression effect would only require the addition of 3 cm of precipitation if the storage-coefficient (specific yield plus elastic storage) were 0.1. Conversely, a lowering of the water table could enhance CH, ebullition (while possibly leading to enhanced CH4 oxidation). Episodic CH4 releases due to decreases in hydrostatic head on the order of 5-l 0 cm in peatlands have been proposed (Moore et al. 1990). Implications for jlux measurement - Measuring modeling CH, fluxes are rendered mom complicated the existence of ebullition as a major export process. suggest that CH4 ebullition is significantly modulated and by We by atmospheric pressure, temperature, and water-table elevation (as well as being triggered by physical disturbance of wetland sediments). The volumes of stored gas may be large enough that periods of rising atmospheric pressure, decreasing temperature, or rising water table can suppress the atmospheric release of CH, for hours or days, which is longer than the period of typical flux chamber experiments. Conversely, decreasing atmospheric pressure, rising temperature, a falling water table, and mechanical disturbilnce may trigger release of CH4 by ebullition. These fictors need to be examined in the design and analysis of CH4 flux experiments. 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