Page 1 of 31 1 2 3 4 5 6 7 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 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 Environmental Science & Technology Methane Emissions from a Small Wind Shielded Lake Determined by Eddy Covariance, Flux Chambers, Anchored Funnels, and Boundary Model Calculations: A Comparison Carsten J. Schubert1,*, Torsten Diem1,b , Werner Eugster2 1 Swiss Federal Institute of Aquatic Science and Technology (Eawag), Dept. of Surface Waters - Research and Management, CH-6047 Kastanienbaum, Switzerland, Phone: 0041 58 765 2195, Fax: 0041 58 765 2168, email: [email protected] 2 ETH Zurich, Institute of Agricultural Sciences, CH-8092 Zurich, Switzerland b Present address: University of St Andrews, School of Geography & Geosciences, St Andrews, KY16 9AL, Scotland, UK ACS Paragon Plus Environment Environmental Science & Technology 1 2 3 4 5 6 7 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 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 Abstract Lakes are large sources of methane, held to be responsible for 18% of the radiative forcing, to the atmosphere. Periods of lake overturn (during fall/winter) are short and therefore difficult to capture with field campaigns but potentially one of the most important periods for methane emissions. We studied methane emissions using four different methods, including eddy covariance measurements, floating chambers, anchored funnels, and boundary model calculations. Whereas the first three methods agreed rather well, boundary model estimates were 5-30 times lower leading to a strong underestimation of methane fluxes from aquatic systems. These results show the importance of ebullition as the most important flux pathway and the need for continuous measurements with a large footprint covering also shallow parts of lakes. Although fluxes were high, on average 4 mmol m-2 d-1 during the overturn period, water column microbial methane oxidation removed 75% of the methane and only 25% of potential emissions were released to the atmosphere. Hence, this study illustrates secondly the importance of considering methane oxidation when estimating the flux of methane from lakes during overturn periods. ACS Paragon Plus Environment Page 2 of 31 Page 3 of 31 1 2 3 4 5 6 7 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 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 Environmental Science & Technology Introduction Atmospheric methane concentrations have increased from 0.800 ppm before industrialization to a level of around 1.875 ppm today (1) and held responsible for 18% of the radiative forcing (2). Whereas the biggest natural methane emissions stem from wetlands, it was only recently suggested that a substantial part– between 6 and 16% of natural methane emissions – might originate from lakes and other freshwater systems (3). Conservative estimates assume that small lakes with surface areas smaller than 1 km2 account for only one third of the total emissions from lakes and freshwater systems. This has now been called into question by more recent estimates of the global number of lakes (4), which substantially exceeds previous estimates (5), and the findings that small lakes have higher methane fluxes per unit area than larger lakes (6). Consequently, the amount of methane emitted from small lakes (< 1 km2) might be much higher than previously suggested. We used 4 different methods including continuous eddy-covariance flux measurements in combination with bi-weekly lake water profile measurements, floating chambers, and anchored funnels to determine methane emissions during late season overturn. Eddycovariance flux measurements (7, 8) have so far not been used in natural aquatic systems to estimate methane emissions. They are advantageous since they capture both diffusive flux (normally estimated from surface-water methane concentrations) and ebullition (normally determined using bubble capturing funnels). It is furthermore the only method that allows continuous measurements over longer time periods (here 2.5 months). In small lakes, methane stored in the hypolimnion, which can be emitted to the atmosphere during lake turnover, may contribute up to 45% to the methane budget of ACS Paragon Plus Environment Environmental Science & Technology 1 2 3 4 5 6 7 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 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 such lakes (9). This suggests a potential for large emissions during late season overturn. Here we critically evaluate this methane emission potential with measurements from Rotsee, a small holomictic lake (lakes which mix at least once a year (10)) in Switzerland that tends to release its immense methane content, accumulated during the biologically productive season, during mixing (11). In lakes, the degradation of organic material (OM) is accomplished to a large extent via methanogenesis (12), a process in which methane is produced by the fermentation of OM or by carbon dioxide reduction (13). This methane is released from the sediment into the water column, where it either diffuses or is transported via ebullition towards the water surface, and is finally emitted to the atmosphere. During its passage through the water column, methane concentrations are reduced by either aerobic or anaerobic oxidation (11). However, if a chemocline (or any other physical barrier like a thermocline or halocline) exists, the methane diffuses only very slowly through this barrier and can accumulate in the hypolimnion during the productive season. Holomictic lakes such as Rotsee begin to mix in fall or winter, when decreasing incident radiation and lower air temperatures lead to a decrease in surface water temperatures and eventually to complete mixing of the water column due to a density inversion (14). Late season turnover is an important period for methane and carbon dioxide emissions from lakes, since methane evasion rates by diffusion may be insignificant throughout most of the year but very high during turnover periods (15-17). ACS Paragon Plus Environment Page 4 of 31 Page 5 of 31 1 2 3 4 5 6 7 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 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 Environmental Science & Technology Materials and methods Location Lake Rotsee is a holomictic lake with a surface area of 0.5 km2 (2.5 km long and 200 m wide). It is relatively wind shielded which led to wind speeds between 0.04 and 6.9 m s-1 in 1.25 m above the lake surface. During the measurement period the wind speed at 10 m height was lower than 3.7 m s-1 during 1926 hours (1080 hours below 1 m s-1) and higher than 3.7 m s-1 only during 69 hours. Water temperature was between 14.7 and 7.3°C from 20 October to 1 December (see Figure S1). The footprint area of the eddy covariance method is shown in Figure S2. Eddy covariance flux measurements Eddy-covariance flux measurements were conducted using a Gill/Solent 3-d ultrasonic anemometer-thermometer (model R2A, Lymington, UK) and a Los Gatos Research FMA-100 fast methane analyser (Mountain View, CA, USA) as described by Eugster & Plüss (2009) (7). The sonic anemometer was mounted on a moored buoy 70 m from the lake shore, and air (sucked from 1.25 m above lake surface) was guided to the methane analyser using a Synflex 1300 tube (75 m) with an outer diameter of 10 mm. Turbulent flow was maintained by a tri-scroll vacuum pump (BOC Edwards XDS-35i) with a flow rate of 26.3 l min–1 (7). Data were recorded at 20.8 Hz resolution. Fluxes were computed as covariances between vertical wind speed and concentration fluctuations after shifting the methane time-series relative to the wind speed time-series to account for delays caused by the tube and the methane analyser. The optimum time lag was determined with a cross-correlation procedure for each 30-minute averaging interval with a search ACS Paragon Plus Environment Environmental Science & Technology 1 2 3 4 5 6 7 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 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 window around the expected time delay (3.5–6.0 s). Fluxes were corrected for highfrequency damping losses (18) to compensate for imperfect turbulent flow in the inlet and in the vacuum cell of the methane analyser. A damping constant of 0.54 s–1 was used based on least-squares fitting of a theoretical cospectrum to the measured cospectra. On average, this correction increased measured fluxes by 35% (median 28%). Data quality screening was done in the same way as done by Eugster et al. (2011) (8) for the data from the Wohlensee run-of-river reservoir: 30-minute averages during which no clear crosscorrelation between vertical wind speed and CH4 concentration fluctuation was found were removed and considered a flux that is not significantly different from zero. In addition to the procedure discussed in detail by Eugster et al. (2011) (8) we used two additional screening criteria which were specific for the Rotsee site: (a) 30-minute averages during which the variance of CH4 concentration exceeded 0.4 ppm2, or (b) during which the inclination angle of the streamlines of the wind field deviated more than 20° from the horizontal direction were removed. Since the sensors were mounted on a floating buoy the second criterion removes both artefacts from strongly divergent flows over the lake and conditions where the buoy was pushed downwind by the very rare stronger winds. Diffusive flux and ebullition To estimate diffusive and ebullitive fluxes from the lake, two floating chambers (buoyed buckets with a volume of 22 liter and a collecting area of 0.086 m2) were used. The chamber sides were immersed a few centimeters into the water and had an outlet tube connected to a three-way stopcock, which allowed the sampling of air with glass ACS Paragon Plus Environment Page 6 of 31 Page 7 of 31 1 2 3 4 5 6 7 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 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 Environmental Science & Technology syringes. At the beginning of each measurement a gas sample of 40 ml was taken and injected into a glass bottle (30 ml) filled with NaCl-saturated water. While pushing the gas into the bottle, the salt water was allowed to flow out of the bottle via a second needle. After an hour of free floating, another glass bottle was filled with a second gas sample as described above. To make sure the gas inside the chamber was mixed we pumped the volume of the 50ml syringe several time in and out of the chamber. On most sampling days two chambers were deployed twice for a total of 4 flux measurements, except on sampling dates after the lake was mixed, when the chambers were only deployed once, resulting in two flux measurements. The chambers were allowed to drift over the lake surface for 0.8–2 hours on 19 days, in total for 72 hours (which compares to 6 m2 h). Reported values represent the mean from one sample campaign. To derive a continuous curve these mean values were added over time until the next sample campaign when new mean values were obtained. Additionally, two custom-made gas traps (funnels) with a collecting area of 0.79 m2 were used to capture ebullition (19) from 24 October until 15 December. An air-tight cylinder of known volume with a septum-lined cap was screwed onto the top of the funnel for gas collection and sampling. The traps were deployed in an area upwind of the sonic anemometer relative to the average wind direction using a moored buoy system that allowed the funnel to hang upright approximately ~1 m below the water surface. When deploying the funnels, care was taken to avoid catching gas bubbles that might be liberated from the sediments upon anchoring. In total the area and time of the lake covered by the funnels was 948 m2 h. ACS Paragon Plus Environment Environmental Science & Technology 1 2 3 4 5 6 7 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 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 Gas samples taken from the cylinder every 2-3 days were transferred to a N2-filled serum bottle for methane measurements. The amount of gas collected was determined by measuring the height of the gas column in the cylinder and calculating the volume. Gas samples were taken back to the lab and measured for methane concentrations as described below. Methane emissions were calculated as follows: F(CH 4 ) = CH 4 (t 2 ) CH 4 (t1 ) A t (1) where F[mg m–2 d–1] is the flux of methane from the water surface, CH4(tx) is the amount of methane in the chamber [mg] at the beginning (x=1) and at the end (x=2) of the measurement, A is the area of the floating chamber or funnel [m2] and t = t2-t1 is the time [d] elapsed between the measurements. Methane fluxes were calculated using the boundary layer model of Liss and Slater (1974) (20): F = 240 k (Cw - Ceq) (2) The model estimates the air-water flux F [mg CH4 m-2 d-1] using the water saturation concentration Ceq [M] according to Wiesenburg and Guinasso (1979) (21), the measured water concentration Cw [M] of CH4 at 0.2 m water depth, the transfer velocity k [cm h-1] and 240 is the unit conversion factor for the given units. For the calculation of the transfer velocity k600 we used the bi-linear relationship given by Crusius and Wanninkhof ACS Paragon Plus Environment Page 8 of 31 Page 9 of 31 1 2 3 4 5 6 7 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 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 Environmental Science & Technology (2003) (22):for U10 < 3.7 m s-1 k 600 = 0 . 72 U 10 cm h − 1 (3) for U10 3.7 m s -1 k 600 = 4 . 33 U 10 − 13 . 3 cm h −1 (4) the relationship given by Cole & Caraco (1998) (23) 1. 7 k 600 = 2 . 07+ 0 . 215 U 10 (5) and the relationship given by MacIntyre et al. (2010) (24) for a cooling lake for a heating lake k 600 = 2 . 04 U 10 + 2. 0 k 600 = 1 . 74 U 10 − 0 . 15 (6) (7) where the lake was assumed to be cooling when air temperature was lower than the surface lake temperature and heating for all other cases. Wind speeds at 10m were obtained from the ones measured at 1.25m above lake surface with the sonic anemometer and the correction given in equation (1) in Crusius & Wanninkhof (2003) (22), under the assumption of neutral, stable boundary layer. The transfer velocity k600 was then transformed into the transfer velocity k for methane using: k = k600(Sc/600)c (8) where Sc is the Schmidt number of the greenhouse gas (CH4) at water surface temperature and c is -2/3 for U10 < 3.7 m s-1 and -1/2 for higher wind speeds (25). ACS Paragon Plus Environment Environmental Science & Technology 1 2 3 4 5 6 7 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 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 Methane concentrations and isotopic composition Water samples were taken at 0.2, 2, 4, 6, 8, 10, 11, 11.5, 12, 12.5, 13, 13.5, 14, 14.5, 15, 15.5 m depth and transferred into 120 ml septum bottles directly after the Niskin bottles came on board. The bottles were filled inserting a flexible tubing down to the bottom of the bottle to avoid methane to escape by turbulent mixing, i.e., in the manner commonly employed for Winkler titrations. The samples were poisoned using mercury chloride, closed with a butyl stopper and sealed with an aluminium crimp. In the laboratory a 20% headspace (He) volume was introduced and samples were equilibrated overnight. Subsequently they were measured at a constant temperature with a gas chromatograph (Agilent) equipped with a Carboxen 1010 column (30 m, Supelco) and a flame ionization detector (FID). The oven temperature was 40°C. Methane standards were made by dilution of pure CH4 (99.9%) and calibrated against commercial ones of 15ppm, 100ppm, 1000ppm and 1% (Scott, Supelco). Water concentrations were determined according to McAuliffe (1971)(26) using equilibrium solubilities given by Wiesenburg & Guinasso (1979)(21). Methane concentration in replicate samples varied by <2%. Subsequently the methane concentrations in 0.2 m depth were used in the boundary layer model of Liss & Slater (1974)(20) to calculate methane emission rates as described above. Methane isotopic composition was determined with a trace gas analyzer connected to a mass spectrometer (GV Instruments). Notations are in the notation; i.e.: 13C = [(13C/12C)sample/( 13C/12C)standard] -1 ACS Paragon Plus Environment Page 10 of 31 Page 11 of 31 1 2 3 4 5 6 7 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 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 Environmental Science & Technology The precision of the method was ± 0.7 ‰. We used isotopic measurements since changes in methane isotopic composition towards heavier 13C values together with decreasing dissolved methane concentrations can clearly distinguish oxidation in the water columns from mixing of different water bodies. Methane oxidation Methane oxidation was estimated similar to the method described by Utsumi et al. (1998) (27). Oxygen concentrations in the water column were measured with a SBE 19 CTD (conductivity, temperature, depth) probe (Sea Bird Electronics) equipped with an oxygen sensor (detection limit 1mol). At several depths (in total 65 samples at 20 days, see Table S1) four replicate 125 ml bottles were filled with water to determine methane concentrations as described above. Samples were taken with a flexible tubing reaching the bottom of the bottle to avoid air intrusion into the sample. The sample depths were chosen depending on the state of the oxycline, i.e., 1 to 5 samples were taken depending on how well the oxic and anoxic water column was separated. In one sample biogenic activity was stopped immediately with Cu(I)Cl, while the others were incubated in the dark either at 7°C or at 20°C (whichever was closer to the water temperature). Every day or every second day (for samples from the anoxic zone) one sample was poisoned with HgCl2. After methane concentrations were measured as described above, methane oxidation was calculated by the decrease in methane concentration over time. Methane oxidation rates were then integrated over the whole water column and summed up assuming rates to be the same from one sampling day to the following sampling day. ACS Paragon Plus Environment Environmental Science & Technology 1 2 3 4 5 6 7 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 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 Results and discussion Four different methods were employed to determine the magnitude of methane emissions from the surface waters of Rotsee to the atmosphere. The first of these was based on eddy-covariance flux measurements (7);Eugster, 2011 #19308}. A study carried out with the same instruments by Tuzson et al. (2010)(28) confirmed that the eddy covariance method correctly integrates over a footprint area with heterogeneous CH4 sources spaced 3-5 m apart and hence should also be able to correctly quantify ebullition within the footprint area of the measurements (Figure S2).Methane concentrations from 14 October 2008 to 6 January 2009 varied between minimum values of 1.88±0.02 ppm (close to the mean global methane concentration in the atmosphere) and maximum values of 3.26±0.30 ppm. Methane fluxes determined using the eddy-covariance method are shown in Figure 1b, with positive values denoting methane flux into the atmosphere. Short-term positive and negative spikes must be considered noise that indicate the current limits of system performance for direct CH4 flux measurements. Hence, we filtered 30minute data with a 5-point running average low-pass filter (bold line in Figure 1b) to emphasis the signal that can be seen in our time series. It can clearly be seen that two main emission events occurred during the three-month period; i.e., between 27 and 31 October and between 20 and 24 November. During these mixing events, responsible for the main increments in the cumulative flux shown in Figure 1a, deep water containing high concentrations of dissolved methane was mixed upwards towards the surface layer. In the second method employed, methane emissions were calculated from surface water methane concentrations using the boundary layer model of Liss & Slater (1974)(20). ACS Paragon Plus Environment Page 12 of 31 Page 13 of 31 1 2 3 4 5 6 7 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 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 Environmental Science & Technology In the third method, methane that escaped from the lake was collected in floating chambers. Since these devices drifted freely distances of 50 to 400 m over the water surface, travelling on most days across the width of the lake upwind of the sonic anemometer and including both shallow littoral and deeper areas, these values were considered representative of average methane emission values for the part of the lake covered by the eddy-covariance measurement. This interpretation includes the experience that disturbances heavily affect floating chamber measurements and hence fixing chambers at fixed locations would most likely have failed to provide realistic flux measurements, although they clearly would allow for an improved spatial representation at the expense of considerable additional systematic errors in the overall flux measurements. Additionally, methane emission by ebullition was measured by locating two anchored funnels connected to gas tight cylinders (19) above various sites. Sites from the shore (shallow) towards the centre of the lake (deep), overall between 5 and 13 m deep, lying in the footprint area of the eddy covariance method were chosen and included bubbling and non-bubbling areas. In Figure 2 methane emissions revealed by the different methods are presented. As would be anticipated based on the variety of fluxes measured (diffusion only, diffusion plus ebullition, ebullition only), the different methods yielded different results. Cumulative methane effluxes derived from the eddy-covariance measurements (method 1), the floating chambers (method 3), and the funnels (method 4) are comparable: 4692, ACS Paragon Plus Environment Environmental Science & Technology 1 2 3 4 5 6 7 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 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 4130, and 4558 mg m-2 (92.0, 81.0, and 89.4 mg m–2 d–1), respectively, for the period 27 October to 16 December, during which measurements were made using all four methods. Fluxes derived using the formula of MacIntyre et al. (2010)(24) (830 mg m-2) were nearly two times higher than those obtained using the formula of Cole & Caraco (1998) (23) (460 mg m-2), which in turn were almost three times higher than those derived using the formula of Crusius & Wanninkhof (2003) (22) (160 mg m-2). As our floating chamber measurements neglected the decrease of diffusive flux due to increasing methane partial pressure in the headspace we tried to correct for that by calculating diffusive fluxes with a non-linear flux calculation. For this we used a set of 8 measurements which seemed to be unaffected by ebullition (we chose a methane increase of less than 10 ppm in the headspace as criteria) and calculated fluxes using the R (R Core Development Team, 2011)(29) library HMR (Pedersen, 2011)(30), which is based on a model by Hutchinson & Mosier (1981)(31). This resulted in an average increase of fluxes by a factor of 1.5. The diffusive flux we calculated with the boundary layer model represent between 3-18% of the flux measured by eddy covariance. Therefore, assuming we underestimated the diffusive fluxes measured with the floating chambers by a factor of 2/3 the corrected emission of the floating chambers amount to 4200 - 4500 mg m-2 d-1. Heat fluxes were calculated from the temperature measurement in the upper water column (Figure S1) to reveal which process (convective turbulence or wind induced turbulence) was the major factor during the experiment. On average heat flux was in a normal range for lake surface water with 89 W m-2. Resulting convective turbulence had average values of 1.8*10-8 W kg-1 (or m2 s-3 to compare with (24); values in our study were between 1.2 and 5.8*10-8 W kg-1 at the lower end). Convective plume transport was ACS Paragon Plus Environment Page 14 of 31 Page 15 of 31 1 2 3 4 5 6 7 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 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 Environmental Science & Technology therefore on average 0.006 m s-1, whereas wind driven transport was between 0.0006 m s1 for wind speeds of 0.5 m s-1 and 0.009 m s-1 for wind speeds of 7 m s-1. This clearly shows that above 4.3 m s-1 wind speed the turbulence induced by wind was the dominant factor, whereas below this value the convective turbulence was the relevant emission factor. This additionally to the discussion below explains why the emission estimates with the boundary model give relatively low values compared to the other methods, since at the time of our experiment only during 31 hours wind speeds were higher than 4.3 m s1 compared to 1963 hours were convective turbulence prevailed. Our results confirm that effluxes derived from the boundary layer model may strongly underestimate methane fluxes (5-30 fold compared to methods 1, 3, and 4) when ebullition is present and convective turbulence is dominant in the lake (19). Thus we can conclude that the eddy-covariance method, floating chambers, and a combination of ebullition measurements with additional diffusive flux calculation using a turbulent boundary layer model (e.g. Crusius & Wanninkhof, 2003 or Cole & Caraco, 1998) (22, 23) or k600 values derived from eddy-covariance measurements (e.g. (24)) equally represent lake emissions. It has to be noted that the uncertainties of the funnel and floating chamber fluxes are most likely higher than the ones of the eddy covariance measurements which is clearly the method of choice. This is mainly due to the fact that eddy covariance would detect diffusive plus ebullition flux and that it could be set up to measure continuously over a longer time span. Our results confirm that ebullition is the most important emission pathway (3, 19). This is in agreement with a very recent report in which it was noted that since ebullition is not generally included into aquatic emission pathways, the emissions by inland waters are most likely underestimated (32). Hence, we ACS Paragon Plus Environment Environmental Science & Technology 1 2 3 4 5 6 7 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 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 strongly recommend either eddy covariance or a combination of ebullition and diffusive flux measurements for estimating methane effluxes from aquatic systems. Still, a word of caution needs to address potential problems with spatial representation of a whole lake with the methods used here: during manual sampling the visual detection of bubbles at the lake surface helps to detect ebullition hot spots. However, ebullition hot spots that are active during the absence of researchers on the lake (actually most of the time) may have been missed by our approach and may need a correction in future. Follow-up studies, both with respect to the experimental design and the procedure how to extrapolate existing measurements to the entire lake surface are necessary. Looking at the eddy-covariance flux measurements (Fig. 1) it is obvious that, despite these large effluxes during the two main turnover events, the total amount of methane released from Rotsee was only 5.4 g CH4 m-2 during winter overturn (84 days). On the one hand this is high, i.e., on the order of 50% of daily emissions that have recently been reported from tropical reservoirs (33). On the other hand, this is rather low compared to the potential emissions of 21.3 g CH4 m-2 that could be postulated simply by taking the total amount of methane dissolved in the hypolimnion into account (i.e., neglecting new methane production). What is happening in the water column during these events? Figure S1 (supplement) shows the oxygen concentration profile on 20 October, with around 11 mg O2 l–1 in the uppermost 9 m. The lack of oxygen below this depth indicates the existence of anoxic conditions in the hypolimnion. The oxygen measurements from 20 October to 1 ACS Paragon Plus Environment Page 16 of 31 Page 17 of 31 1 2 3 4 5 6 7 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 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 Environmental Science & Technology December clearly show the mixing of the water column with oxygen penetrating more and more deeply into the hypolimnion. This is especially evident between 14 and 26 November, when we measured strong emissions with the eddy-covariance method, and the oxycline moved from above 11 m to below 14 m depth. Figure 3 shows the methane concentrations in the water column before and during this mixing event (20 and 24 November with concentrations in the bottom water of up to 16 mg l-1 (1 x 103 M). Higher dissolved methane concentrations towards the sediment identify the sediments to be the source of the methane. On 17 November, methane concentrations in the uppermost 10 m were in the 3.5 - 11.2 g l-1 (0.2 – 0.7 M) range. After a strong mixing event on 21 November, which moved the oxycline about 3 m downwards (Fig. S1 supplement), methane concentrations in the upper 10 m were 15- to 20-fold higher (73-170 g l-1 or 4.6-10.6 M). After 3 days, however, these high concentrations in the surface waters had already strongly decreased to 15-23 g l-1 (1-1.5 M), indicating strong oxidation of methane in the oxic zone, which on 24 November already included the top 14 m of the lake. Measured methane oxidation rates (Fig. S4) and isotope analysis (Fig. 3) give strong support for methane oxidation to be largely responsible for this strong decrease and that diffusion is of less importance (a diffusion-driven profile would show decreasing values towards the surface). This is a clear indication that oxidation in the mixed layer of the lake is the primary removal process for methane, and only a small fraction is emitted. Isotope analysis yields further strong support for this interpretation (Fig. 3). The isotopic composition of the carbon in the dissolved methane during the mixing event on 21 November (13C = -66 ‰ on average) differed drastically from that of the methane in the oxic zone before the event ( 13C = -30 ‰ on average), indicating strongly that this ACS Paragon Plus Environment Environmental Science & Technology 1 2 3 4 5 6 7 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 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 methane originates from the hypolimnion. However, by 24 November, 3 days after the mixing event, the 13C of the methane had not just returned to the value it had had on 17 November, but had even become heavier by ~15 ‰. The drastic change from a 13C value of -66‰ to -15 ‰ (fractionation factor =0.948) clearly indicates that methane was oxidized by methanotrophs (microorganisms that consume methane), since microbiologically mediated oxidation of methane is accompanied by a strong isotopic fractionation, leaving heavier methane behind (11, 34). We measured average methane oxidation rates of 26 ± 43 M CH4 l-1 d-1 in the anoxic zone/chemocline and 1.0 ± 2.3 M CH4 l-1 d-1 in the oxic zone (Fig. S3 supplement). A peak value of 12 M CH4 l-1 d-1 was measured in the oxic zone during the second strong mixing event on 23 November. This provides evidence for an existing methanotrophic community (mainly Methylomonas and Methylobacter (11) in the oxic zone capable of oxidizing the methane which occurs in very high concentrations in the epilimnion during lake mixing. That methanotrophic communities react very quickly to increased methane concentration has recently been shown in the Gulf of Mexico oil spill (35). The generally higher oxidation rates with a peak value in the anoxic zone/chemocline of 225 M CH4 l-1 d-1 provide clear evidence that anaerobic oxidation is important. However, the microorganisms that mediate the anaerobic oxidation of methane in lakes are still unknown. In Figure 4 cumulative values for both methane oxidation (7 g m-2 in the oxic water layer and 33 g m-2 in the whole water column) and methane effluxes (5.4 g m-2) are shown. It becomes obvious that rates of methane oxidation exceed rates of methane effluxes by a factor of about 6 owing to the very effective microbiological barrier that hinders larger methane effluxes to the atmosphere. Hence, true methane emissions are only 25% of ACS Paragon Plus Environment Page 18 of 31 Page 19 of 31 1 2 3 4 5 6 7 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 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 Environmental Science & Technology what could potentially be released if all stored methane in the hypolimnion was to be emitted without microbial oxidation (i.e., 2.5 t of 10 t CH4 are emitted during late season turnover). These values are in good agreement with other investigations; e.g. from a Japanese lake, where 74% of the methane was oxidized (27), and from a Finnish lake, where 83-88% of the methane was oxidized (36). With 75% oxidation occurring in the water column and a greenhouse gas forcing factor of 25 CO2-equivalents per kg of CH4 (IPCC 2007) (2), this means that each mass unit of methane produced in the hypolimnion represents only 6.25 CO2-equivalents at the lake surface; i.e., only 25% of the greenhouse gas forcing that would be erroneously assumed from the gas production in sediment cores if oxidation in the lake was neglected. Hence, our findings have strong implications for the recently proposed role that lakes, and to a smaller extent reservoirs, might play not only in the global methane budget (37) (3) but also in the continental carbon sink estimations (32). Although all lakes (n=4) and reservoirs (n=11) Diem et al. (2008) investigated in Switzerland are methane emitters (38), they were able to show that the amount of methane released over the year by these lakes, including that released during late season turnover, is much smaller than it would be if all the methane stored in the hypolimnion were to be released to the atmosphere without microbial interaction. This reduces the importance of storage in the emission estimates (e.g. Michmerhuizen et al. (1996)(39) only assumed an oxidation of 1-7% of the storage methane) and counteracts the possibly higher number of small lakes as pointed out recently (4) . In return, it implies that the huge anthropogenic methane emissions from rice fields, cattle, and energy production are even more important as greenhouse gas sources, and are worth reducing in the future if we wish to limit the ACS Paragon Plus Environment Environmental Science & Technology 1 2 3 4 5 6 7 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 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 increase in global surface air temperature due to greenhouse gas production to 2°C. Finally, we showed that methane emission can yield similar results, when quantified by different methods and over different time frames. Whether this conclusion is valid across different lakes and different times of the year, or if different methods are more suitable for certain conditions needs to be further investigated. Nevertheless, it will be interesting to see in how much future emission estimates using more sophisticated measurements including eddy covariance will increase existing greenhouse gas emission estimates from continental aquatic systems. ACS Paragon Plus Environment Page 20 of 31 Page 21 of 31 1 2 3 4 5 6 7 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 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 Environmental Science & Technology Acknowledgements We would like to thank Beat Müller, Michael Schurter, and Oliver Scheidegger for their help during field work and BM for providing the bathymetry data. We also thank Johny Wüest for his support in calculating heat fluxes as well as convective and wind induced turbulence. This project was supported by an ETH Scientific Equipment grant, the Competence Centre for Environment and Sustainability (CCES), and funds from the Swiss Federal Institute of Aquatic Science and Technology (Eawag). Supporting Information Available. This information is available free of charge via the Internet at http://pubs.acs.org/. ACS Paragon Plus Environment Environmental Science & Technology 1 2 3 4 5 6 7 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 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 Figures Figure 1 Cumulative methane flux (a) and methane flux (b) during lake turnover (14 October 2008 to 6 January 2009) estimated from eddy covariance measurements. The thick line in panel (b) shows 30-minute flux averages, whereas the bold line shows the 2.5 hour low-pass filtered values. Two major emission events can be noted between 27 October and 31 October and between 20 and 24 November. Cumulative methane fluxes amount to 5.4 g m-2. DOY (day of the year). Figure 2 Methane emissions measured during lake turnover (14 October 2008 to 6 January 2009) by different methods including the eddy covariance method, the boundary layer model (Liss & Slater 1974) (20) using transfer velocity k600 calculated with the bi-linear relationship given by Crusius & Wanninkhof (2003)(22),the relationship given by Cole & Caraco (1998) (23), the relationship by Mac Intyre et al. (2010) (24) chambers floating freely over the lake surface, and funnels collecting methane bubbles. Several chamber and funnel measurements over one day were averaged to give a daily mean. Those mean values were used to interpolate CH4 flux values until the next sampling date to obtain a continuous curve. Orange and violet squares indicate when floating chamber and funnel samples were taken, respectively. Whereas methane emissions estimated with the eddy covariance, the funnels, and floating chambers agree very well,values calculated with the boundary layer model are much lower. Figure 3 ACS Paragon Plus Environment Page 22 of 31 Page 23 of 31 1 2 3 4 5 6 7 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 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 Environmental Science & Technology Methane concentrations (a) and methane carbon isotopes (b) measured on three different days during a major emission event between 17 November (DOY 322) and 24 November (DOY 329). On 17 November methane concentrations are low in the epilimnion, an increase to high values on a mixing event on 21 November (DOY 326) can be noted, however, three days later methane concentrations were already much lower again. The carbon isotope values indicate strongly oxidized methane on 17 and 24 November and original source methane (not oxidized) from the hypolimnion on 21 November during the mixing event. Figure 4 Cumulative methane efflux to the atmosphere and oxidation in the oxic and anoxic water column of Rotsee. Methane oxidation rates were assumed to be the same from one sampling date to the other (altogether 20 days, see Table S1). It can be noted that the combined aerobic and anaerobic oxidation of methane in the water column clearly exceeds methane emission to the atmosphere by a factor of 7 to 8. (1) Dlugokencky, E. J.; Bruhwiler, L.; White, J. W. C.; Emmons, L. K.; Novelli, P. C.; Montzka, S. A.; Masarie, K. A.; Lang, P. M.; Crotwell, A. M.; Miller, J. B.; Gatti, L. V., Observational constraints on recent increases in the atmospheric CH4 burden. Geophysical Research Letters 2009, 36 (18), L18803. (2) Forster, P.; Ramaswamy, V.; Artaxo, P.; Berntsen, T.; Betts, R.; Fahey, D. 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F.; Crill, P.; Enrich-Prast, A., Methane emissions from Pantanal, South America, during the low water season: toward more comprehensive sampling. Environmental Science & Technology 2010, 44, (14), 5450-5455. (34) Barker, J. F.; Fritz, P., Carbon isotope fractionation during microbial methane oxidation. Nature 1981, 293, (5830), 289-291. (35) Kessler, J. D.; Valentine, D. L.; Redmond, M. C.; Du, M.; Chan, E. W.; Mendes, S. D.; Quiroz, E. W.; Villanueva, C. J.; Shusta, S. S.; Werra, L. M.; Yvon-Lewis, S. A.; Weber, T. C., A persistent oxygen anomaly reveals the fate of spilled methane in the deep Gulf of Mexico. Science 2011, 331, (6015), 312-315. ACS Paragon Plus Environment Environmental Science & Technology 1 2 3 4 5 6 7 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 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 (36) Kankaala, P.; Eller, G.; Jones, R. I., Could bacterivorous zooplankton affect lake pelagic methanotrophic activity? Fundamental and Applied Limnology 2007, 169, (3), 203-209. (37) St Louis, V. L.; Kelly, C. A.; Duchemin, E.; Rudd, J. W. M.; Rosenberg, D. M., Reservoir surfaces as sources of greenhouse gases to the atmosphere: A global estimate. Bioscience 2000, 50, (9), 766-775. (38) Diem, T.; Koch, S.; Schwarzenbach, S.; Wehrli, B.; Schubert, C. J., Greenhouse gas emissions (CO2, CH4 and N2O) from perialpine and alpine hydropower reservoirs. Biogeosciences Discussions 2008, 5, 3699-3736. (39) Michmerhuizen, C. M.; Striegl, R. G.; McDonald, M. E., Potential methane emission from north-temperate lakes following ice melt. Limnology and Oceanography 1996, 41, (5), 985-991. ACS Paragon Plus Environment Page 26 of 31 Page 27 of 31 Fig. 1 th 6 Oct 26 Oct th 15 Nov th 5 Dec th 25 Dec 300 320 340 360 th th 14 Jan -2 Cumul. CH4 flux (g m ) 6 5 4 3 2 1 0 15 -2 -1 CH4 flux (µg m s ) 1 2 3 4 5 6 7 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 34 35 36 37 38 39 40 41 42 43 44 45 Environmental Science & Technology 10 5 0 -5 -10 280 DOY ACS Paragon Plus Environment 380 Fig. 2 6000 CH4 efflux (mg m-2) 1 2 3 4 5 6 7 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 34 35 36 37 38 39 40 41 42 43 44 45 Environmental Science & Technology 4000 Page 28 of 31 C&C C&W MacIntyre Floating ch. Funnels Eddy Cov. 2000 0 280 300 320 340 DOY ACS Paragon Plus Environment 360 380 Page 29 of 31 ?@A/! # ! 0 ) ! 67-&85&9! ":'( ! 67-&85&9! ;"'( ! 67-&85&9! ;<'( 2 4 Depth (m) 6 8 10 12 14 16 100 1000 10000 100000 %&'()*&! *87=! = ! 0 1000000 >" 5 2 4 6 Depth (m) 1 2 3 4 5 6 7 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 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 Environmental Science & Technology 8 10 12 14 16 -80 -70 -60 -50 -40 -30 -20 -10 0 "# δ $%&'()*&! +,! -./! 01234 ACS Paragon Plus Environment Environmental Science & Technology Fig. 4 40000 -2 Sum of methane emission/oxidation (mg m ) 1 2 3 4 5 6 7 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 34 35 36 37 38 39 40 41 42 43 44 45 Oxidation (oxic) Emission (EC) Oxidation (anoxic) 30000 20000 10000 0 280 300 320 340 360 380 DOY ACS Paragon Plus Environment Page 30 of 31 Page 31 of 31 Environmental Science & Technology MAIOLICA (CCES project) CH4 efflux (mg m-2) 1 2 Methane in aquatic systems 3 4 5 6 7 8 9 10 Eddy Correlation (EC) sensor 11 12 13 14 15 Los Gatos 16 17 CH4 sensor 18 19 20 21 22 Fig. 2 23 24 6000 25 26 27 28 29 4000 30 31 CH4 sensor box 32 CH4 sensor 33 34 pump High-resolution direct2000 35 absorption spectroscopy 36 37 38 0 39 ACS Paragon Plus Environment 40 Werner Eugster 280 41 ETH Institute of Grassland Science 42 Met Station C&C C&W MacIntyre Floating ch. Funnels Eddy Cov. 300 320 340 DOY 360 380
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