Atmospheric Environment 33 (1999) 1305—1321 Atmospheric methyl chloride M.A.K. Khalil *, R.A. Rasmussen Department of Physics, Portland State University, P.O. Box 751, Portland, OR 97207, USA Department of Environmental Science and Engineering, Oregon Graduate Institute, P.O. Box 91000, Portland, OR 97291, USA Received 8 September 1997; accepted 10 June 1998 Abstract There are about 5 Tg of methyl chloride in the Earth’s atmosphere making it one of the largest reservoirs of gas-phase chlorine. We discuss the time series of global measurements taken over the last 16 yr at seven locations distributed among the polar, middle, and tropical latitudes of both hemispheres (1981—1997). Measurements were also taken at 20 more sites between 1987 and 1989. The vertical distribution was measured during campaign experiments in the Arctic, Western Atlantic, and over Brazil. Small, mostly decreasing trends are observed, showing that on average, there was 4% less methyl chloride during the last three years (1994—1996) than there was in the first three years (1985—1987) of the experiment. The latitudinal variation is marked by highest concentrations in the tropics and lowest in the polar regions. Sites representing inland locations show higher concentrations, suggesting continental sources, mostly confined to the tropics. There are seasonal variations at various latitudes that can be explained mostly by the cycles of OH radicals, which are the dominant removal process for methyl chloride in the atmosphere. Based on these data, the expected emissions can be calculated at the polar, middle, and tropical latitudes represented by the six long-term primary sites. Using a photochemical model of OH, we estimate that a global source of about 3.7 Tg yr\ of methyl chloride is needed to explain the observed concentrations. Other removal processes have been identified that may add to this estimate of the global annual emissions. The results further establish that some 85% of the emissions must come from the half of the earth’s surface between 30°S and 30°N, representing tropical and sub-tropical latitudes. Small emissions are estimated for the middle latitudes, and no emissions are expected from the polar regions. 1999 Elsevier Science Ltd. All rights reserved. Keywords: Methyl chloride; Chloromethane; Reactive chlorine; Global emissions; Troposphere 1. Introduction Even though it is present at only about 600 pptv, methyl chloride is one of the largest reservoirs of gaseous chlorine in the earth’s atmosphere (5 Tg). It is thought to be mostly of natural origins, and as such, it is probably the largest natural source of chlorine to the stratosphere. * Corresponding author. Chlorine-containing gases catalytically destroy ozone in the stratosphere, which amplifies their effect on the environment even if they exist at exceedingly rare concentrations. Thus, man-made chlorofluorocarbons and similar compounds are causing ozone depletion and the Antarctic ozone hole by adding substantially to the natural chlorine in the stratosphere (WMO, 1989, 1994). While there has been a great deal of research on the chlorofluorocarbons, relatively little is known about methyl chloride. In recent years there has been renewed interest in the global budget of methyl chloride, chloroform, and 1352-2310/99/$ — see front matter 1999 Elsevier Science Ltd. All rights reserved. PII: S 1 3 5 2 - 2 3 1 0 ( 9 8 ) 0 0 2 3 4 - 9 1306 M.A.K. Khalil, R.A. Rasmussen / Atmospheric Environment 33 (1999) 1305—1321 other gases as sources of natural chlorine in the atmosphere (see Graedel and Keene, 1995, 1996). The main source of information on the global balance of methyl chloride (CH Cl) is the atmospheric record, which in our experiments spans sixteen years. These data establish the climatology of methyl chloride in the atmosphere. The purpose of this paper is to analyze the data on the atmospheric distribution and trends of methyl chloride and to deduce the expected global emissions, which can then be attributed to various anthropogenic and natural sources. Similar results on chloroform will be discussed in a companion paper (Khalil and Rasmussen, 1998b). Until now it was thought that most of the global emissions of methyl chloride came from the oceans based on early measurements reported by Singh et al. (1979, 1983). While this work established the idea that the oceans were a major source of methyl chloride, new intensive experiments on oceanic emissions suggest that this source is at most 0.5 Tg yr\, which is much smaller than previously thought (Moore et al., 1996; Tait et al., 1994; Khalil and Rasmussen, 1998a). Biomass burning contributes about 0.5 Tg yr\ (Palmer, 1976; Andreae, 1991; Reinhardt and Ward, 1995; Rudolph et al., 1995). Some of the remaining emissions, up to 0.6 Tg yr\ at most, may come from terrestrial biological processes in the soils and from fungi responsible for cycling carbon in forests (Harper, 1985; White, 1982; Harper, personal communication). The identified sources are less than half the amount needed to explain the methyl chloride observed in the atmosphere, which requires a source of 3.7 Tg yr\. These findings are a major shift in our understanding of the global budget of methyl chloride and show that more work is needed to produce a closed budget of methyl chloride which may include sources not known at present. 2. The experiments 2.1. Sites and sampling frequency Starting around 1980, we established a network of sites for systematically collecting air samples in stainless steel flasks (0.8 l) especially designed for sampling and preserving clean air for the measurement of trace gases at the parts per trillion to parts per billion levels. The samples are sent back to our laboratory for analysis. Many trace gases were measured in these flasks, depending on the changing instrumental capabilities of the laboratory over the years. Methyl chloride is one of the gases that has been measured from the early 1980s to now. The samples are collected in triplicate each week. This ensures a representative measurement and allows for an evaluation of successful sampling. Most of the time (&99%) all three samples agreed well and were averaged. On occasion, the concentrations in the three samples disagreed significantly from one another, and such data were discarded. From the weekly data, monthly averages are calculated, which are used for further analysis. We consider the monthly average concentrations to be statistically independent of each other as they represent different air masses. We obtained samples from seven sites for much of the last sixteen years (1981—1997): Pt. Barrow, Alaska (71.16N, 156.5W); Cape Meares, Oregon (45.5N, 124W); Cape Kumukahi and Mauna Loa, Hawaii (19.3N, 154.5W); Cape Matatula, Samoa (14.1S, 170.6W); Cape Grim, Tasmania (42S, 145E), and Antarctica (South Pole at 90S; and Palmer Station, 65.46S, 64.05W). These sites were selected to capture the effects of the major global air circulation patterns on the latitudinal dispersal of trace gases. We have a site in the polar, middle and tropical latitudes of each hemisphere. Most sites are near sea level and represent the marine boundary layer. For a short time, between 1987 and 1989, we also obtained data from many other sites distributed globally. Methyl chloride was measured at 20 of these sites, which were: Alert (82.30N, 62.00W), NW Territories, Canada; Ragged Point, Barbados (13.10N, 59.26W); Bermuda (32.20N, 64.50W); Boola Boola (38.11S, 146.18E), Victoria, Australia; Galway (53.16N, 9.03W), Ireland; Jabiru (5.35S, 64.05E), Amazonas, Brazil; Minqin (38.41N, 103.11E), Gansu, China; Panama (9.00N, 80.00W); Poker Flats (69.00N, 154.00W), Alaska; Sable Island (43.57N, 60.00W), Nova Scotia, Canada; St. Croix (17.35N, 63.40W), Virgin Islands; Utlangan (56.02N, 15.50E), Sweden; three sites in Brazil during the ABLE experiments: Belem (1.27S, 48.29W), Barcarena (1.3S, 48.38W), Cashoeira Paulista (22S, 45.01W); two in Norway: Ship M (57N, 5W) and Ny-Alsund (62N, 3W); two sites in Florida: Key Biscayne (24N, 81W) and the Everglades (26N, 81W); and Guam (13.5N, 144E). The duration of the measurements at these sites is documented in the archived data base. In addition to these long-term sites and short-term background sites, we have obtained data from campaign experiments including vertical distributions at different latitudes. The main data are from Arctic Gas and Aerosol Sampling Program I, II, and III (AGASP) conducted during April—May 1983, 1986, and 1989 and spanning latitudes 60N—90N; Global Tropospheric Experiment (GTE), based in Barbados, during 17—24 June 1984, spanning latitudes 2.4N—18N, longitudes 52.2W—60.6W, and altitudes of 0.15 to 5.3 km; GTE Pacific flights during 4—26 November 1983, spanning 30N—41N latitudes, 119W—147W longitudes and 0.25—10 km altitudes; the same set of GTE flights also covered 8N—30N latitudes, 127W—189W longitudes, and 0.15—9.7 km altitudes; Western Atlantic Oxidant Study (WATOX), flights M.A.K. Khalil, R.A. Rasmussen / Atmospheric Environment 33 (1999) 1305—1321 during 4—10 January 1986, spanning latitudes 31.7N—43.7N, longitudes 59.6W—75.9W, and altitudes of about 0.15—6.1 km; and Amazon Boundary Layer Experiment 2A and 2B. ABLE 2A was during July—Aug, 1985, over 0—16N latitudes, 44—66W longitudes, and 0.15—5 km altitudes; and ABLE 2B was during April—May, 1987, spanning latitudes 3S—30N, longitudes 49—74, and altitudes 0.1—4.6 km. These experiments provide data on the vertical distribution of methyl chloride at various latitudes (see Harriss et al., 1988, 1990; Beck et al., 1987; Albritton, 1989; Davidson and Schnell, 1993; Khalil and Rasmussen, 1984a, 1988). 2.2. Laboratory measurements The samples are analyzed within 2—3 weeks of collection, except from locations such as the South Pole or Palmer Station. Samples from these sites are not available for analysis for several months after being collected. Methyl chloride concentrations have been shown to remain constant in these containers for much longer storage times (Edgerton, 1985). The concentrations of methyl chloride are measured using an Electron Capture Gas Chromatograph by methods described in earlier publications (Rasmussen and Khalil, 1980; Rasmussen et al., 1980; Edgerton, 1985). Concentrations are reported as mixing ratios in dry air. The concentrations are determined by using a set of calibration standards that are referenced against a primary standard which is also used to establish the absolute concentration. Periodic measurements of the concentrations in the secondary standards are used to determine the stability of the calibration or the limits of the possible drifts in time. For the two main tanks used in these experiments the drifts were (!0.4$0.6) pptv yr\ (1990—1998) and !0.8$2 pptv yr\ (1983—1998) where the$values reflect the standard error of the trend. Neither is large or statistically significant. The primary calibration standards for methyl chloride are prepared by individual investigators in the absence of an available standard from a centralized location, or available standards are diluted to make them usable at the low concentrations measured in the non-urban troposphere. The creation of independent standards often leads to differences of absolute concentrations between different investigators. These differences can be corrected by inter-laboratory calibrations, which have not been done for methyl chloride. Data on atmospheric concentrations have been published by other investigators for similar locations. These can be used for an inter-comparison to establish differences of absolute calibration. Although ideally, these comparisons should be done at the same locations and for the same times, such data are not available for methyl chloride. We analyzed data from six independent experiments, two from our own research and four others (Koppman et al., 1993; 1307 Singh et al., 1983; Atlas et al., 1993; Moore et al., 1996; Tait et al., 1994). We found that there are relatively small differences among investigators as shown in Fig. 1. In this figure we have taken the average data in the latitudinal bands represented by our long-term measurements. We then estimated the percent deviations of the observations of methyl chloride in these studies from the long-term averages. Since the other experiments do not represent long-term measurements, they are subject to the effects of natural variability of concentrations in the atmosphere. We estimated this variability as the relative standard deviation of the monthly concentrations observed at our long-term sites (%Var"Standard Deviation/Mean Concentrations;100%). The estimates of variability are based on de-seasonalized data (to be discussed later). The limits of natural variability are of the order of 2% expressed as one standard deviation and are shown on the figure. We see that our measurements in different campaigns are more or less within these limits of natural variability, as are the early measurements of Singh et al., (1983) and the more recent measurements of Atlas et al., (1993). Two experiments reported in the literature are substantially below the limits of natural variability and the absolute concentrations inherent in our long-term studies (Koppman et al., 1993; Moore et al., 1996 and Tait et al., 1994). These are both about 10% lower than our absolute calibration. Since these are newer calibrations, they may be more accurate. We see therefore, that the results of the present paper may be subject to systematic errors of absolute calibration of the order of 10%. The implication of this result is that our data may be high by 10%. If so, we would overestimate the global burden and the total global emissions, when deduced from these data, by the same amount (10%). It is noteworthy that while different experimenters may disagree on the absolute calibration they should agree on the patterns of latitudinal distribution and the percent rate of change. For the data we have on hand, the different experiments do agree on the latitudinal pattern (see Khalil et al., 1998), but there are no comparable data to evaluate the agreement on trends. 3. Global distributions and trends 3.1. Seasonal and temporal trends 3.1.1. Time series The monthly average concentrations of methyl chloride at the long-term sites are shown in Fig. 2. These time series contain two main components: the seasonal cycles and possible trends over the period of the study. 3.1.2. Seasonal cycles The seasonal patterns for the long-term sites were determined by using a moving average filter to subtract 1308 M.A.K. Khalil, R.A. Rasmussen / Atmospheric Environment 33 (1999) 1305—1321 Fig. 1. A comparison of absolute concentrations of methyl chloride reported by independent laboratories and our experiments over the oceans and at marine sites. The data from these studies (C) are averaged in bands representative of our long-term sampling sites. The percent deviation is calculated relative to the average concentrations (C ) observed at our long-term sites (C/C !1);100%. The *2 *2 dark lines represent the natural variability of methyl chloride at the locations sampled and is represented as the standard deviations of the monthly concentrations observed at the long-term sites. SAGA-1 are data from a cruise of the Academik Korolev in 1983; K and R short refers to data from our short-term sites, and the remaining experiments in the legend are referenced in the text. For locations N and S represent Northern and Southern hemispheres; P, M and T represent Polar, Middle and Tropical latitudes. cycles of periods longer than 12 months, which includes long-term trends. The resulting time series were averaged for each of the 12 months over the years when measurements were taken. The result is 12 indices which represent our estimate of seasonal cycles. These seasonal indices are then subtracted from the original monthly data to obtain a de-seasonalized time series. The de-seasonalized time series are used for determining trends and residual variability. Methods for decomposing time series are described in more detail by Khalil and Rasmussen (1990). In Fig. 3a we show the cycles at the long-term sites. The results for the northern hemisphere are further supported by data from the short-term sites in Fig. 3b. Similar data are not available for the southern hemisphere. We calculated the cycle amplitude as the difference between the average concentrations during February—April and August—October each year. The average cycle amplitudes are shown in Fig. 4. These choices of months provides the most robust estimate of the cycle amplitude, taking into account the differences among the sites. In the southern hemisphere however, a different choice of 3-month periods can increase the cycle amplitude by up to 5 pptv. The two Hawaiian sites are close to each other, except that Mauna Loa is at 3.4 km above sea level and Cape Kumukahi is on the beach. These two sites provide data on the long-term differences of concentrations of trace gases with altitude. For methyl chloride, the most useful data are from 1992 to the present, when reliable samples were obtained from both sites. The concentrations for this period are shown in Fig. 5. The seasonal cycles are similar at both sites except that the minimum is deeper at Cape Kumukahi compared to Mauna Loa. It is apparent that the cycle amplitude decreases with latitude, which is expected from the seasonal pattern of changes in atmospheric hydroxyl radicals that remove methyl chloride from the atmosphere. Moreover, the cycle amplitude is nearly half as large in the southern hemisphere middle and higher latitudes as it is at similar latitudes in the northern hemisphere. These patterns are consistent with the results of our photochemical model and of similar models. The calculated seasonal cycle of OH is smaller in the southern hemisphere by about the same amount as the methyl chloride cycle. The smaller seasonality of southern hemisphere OH is due in part to the much lower CO concentration in &&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& Fig. 2. The atmospheric concentrations of methyl chloride between 1981 and 1997 at Polar, Middle, and Tropical latitudes of both hemispheres. Data are from (a) Barrow, Alaska; (b) Cape Meares, Oregon; (c) Cape Kumukahi, Hawaii; (d) Samoa; (e) Cape Grim, Tasmania; (f) Palmer Station, Antarctica; and the South Pole. (g) The latitudinally weighted globally and monthly averaged concentrations of methyl chloride. M.A.K. Khalil, R.A. Rasmussen / Atmospheric Environment 33 (1999) 1305—1321 1309 1310 M.A.K. Khalil, R.A. Rasmussen / Atmospheric Environment 33 (1999) 1305—1321 Fig. 3. (a) The seasonal cycles of methyl chloride at the long-term sites (see Fig. 1). (b) The seasonal cycle at short-term sites in the northern hemisphere (Barrow and Cape Meares composite included for comparison). the southern hemisphere and hence a smaller CO seasonal cycle. Since CO is a major sink of OH, smaller concentrations in the southern hemisphere lead to a smaller seasonality of OH. 3.1.3. Trends The long-term trends appear to be small and unsteady. We used two methods to estimate the trends — a linear regression model, and the average difference between the first and last three years of measurements. For the period between 1/1985 and 12/1996, we have data from all the long-term sites. During this time there has been a decrease in the concentrations at Cape Meares, Barrow and Mauna Loa and an increase at Tasmania with no trends elsewhere (Fig. 6). For the more recent period the difference of concentrations between the two three year periods (1/1991—12/1993) and (1/1994—12/1996), the same patterns persist, except that negative trends are also seen at Samoa. These trends are unlikely to be caused by drifts in the calibration standards, as no long-terms drifts were observed. The concentrations of methyl chloride would have to be increasing in the standard containers to account for a decrease in the atmospheric concentrations, but there is no evidence for this. Moreover, since the same standards are used for all the sites, the trends, if due M.A.K. Khalil, R.A. Rasmussen / Atmospheric Environment 33 (1999) 1305—1321 1311 Fig. 4. The latitudinal distribution of the seasonal cycle amplitude. The cycle amplitude is defined as the difference between average concentrations during February—April and August—October. The short-term sites (without error bars) from north to south latitudes are: Alert, Poker, Flats, Galway, Suble Is., Bermuda, St. Croix and Barbados (see text for detailed information). Fig. 5. The seasonal cycle at the two sites in Hawaii. Cape Kumukahi is at sea level and Mauna Loa is at 3.4 km. to drifts in calibration standards, should all be in the same direction and of similar magnitude, which is also not the case for the observed concentrations. If these negative trends are representative of the atmosphere, two root causes are a decrease in emissions or an increase in the destruction rate, which could occur if OH concentrations were increasing, for instance. At present, it is difficult to associate a specific cause to explain these observations, especially since the global budget is not balanced by the emissions from known sources. The situation favors the explanation due to changes in OH concentrations since the ‘‘missing’’ sources are believed to be natural as we will discuss later, and long-term trends in natural emissions are less likely to occur. There has been speculation on the increasing trend of OH for some time, but definitive estimates do not exist. The most recent assessment by Krol et al. (1998), based on the budget of methyl chloroform, suggests a trend of OH at about 1312 M.A.K. Khalil, R.A. Rasmussen / Atmospheric Environment 33 (1999) 1305—1321 Fig. 6. Trends of methyl chloride at various latitudes and the 90% confidence limits of the trend. 0.5% yr\ for the time period over which our measurements were taken. This would be roughly consistent with the trends reported here. A simple one box model calculation shows that by keeping emissions constant for the period of our observations at 3.7 Tg yr\, the decreasing global trend of methyl chloride can be explained if OH increased by 0.3%$0.1% yr\. 3.2. Spatial distribution 3.2.1 Latitudinal distribution Based on the data from the long-term sites, a climatology of the latitudinal distribution can be established. The patterns are quite remarkable and unlike the latitudinal distributions of most other long-lived gases. The average concentrations between 1985 and 1996 are shown in Fig. 7a. The concentration of methyl chloride is lower at higher latitudes and highest in the tropics. These data are representative of the marine boundary layer, and, for consistency, we have used only the data from Cape Kumukahi in Hawaii to represent the northern tropics. Averages over shorter periods are also shown in Fig. 7a. Despite some variability, the general latitudinal pattern described above is always the same. These results suggest that the tropics are a sizable source of methyl chloride and that there is likely to be a net transport to higher latitudes of both hemispheres. For the short-term sites, the latitudinal distribution is shown in Fig. 7b. The seasonal cycles were subtracted before plotting the data. This is to ensure that there is no bias in the average because the data represent only part of the year, and because there are only data for a few years. Many of these sites do not represent the marine boundary layer as the long-term sites do. A qualitative classification is included in the figure showing that concentrations of methyl chloride are higher at sites that are clearly continental and mixed at other sites that represent marine air. At such sites, continental pollution can affect the concentrations, as evidenced by high levels of manmade chlorofluorocarbons and other gases. Sites where there is evidence of such anthropogenic influences are classified as ‘‘Polluted Marine,’’ and the others are classified as ‘‘Clean Marine.’’ As these data are only from 1987—1989, the averages for the long-term sites are also &&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& Fig. 7. (a) The latitudinal distribution of methyl chloride at the long-term sites (1/1981—1/1997). The vertical bars are the standard deviations of monthly concentrations at each latitude. The standard errors of the mean are too small to appear on the figure (2.5—3.5 pptv). (b) The average concentrations of methyl chloride at the short-term sites where measurements were taken between 1987 and 1989. Data from the long-term sites (Fig. 1) are shown for the same period for comparison. The short-term sites from north to south latitudes are: Alert, Poker Flats, Ny-Alsund, Ship M (Norway), Utlangen, Galway, Jungfraujoch, Sable Is, Minqin, Bermuda, Florida Everglades, Key Biscayne, St. Croix, Guam, Barbados, Panama, Belem, Barcerana, Jabirou, Cachoeira Paulista, Boola Boola (see text for detailed information). (c) The latitudinal distribution of methyl chloride during different seasons. M.A.K. Khalil, R.A. Rasmussen / Atmospheric Environment 33 (1999) 1305—1321 Fig. 7. 1313 1314 M.A.K. Khalil, R.A. Rasmussen / Atmospheric Environment 33 (1999) 1305—1321 taken for the same period. The figure shows that there are generally higher concentrations of methyl chloride when measurements are taken at continental sites or where there is evidence that the air masses are of continental origin. These results suggest that there are sizable landbased sources. This is encouraging, since the current data on oceanic emissions of methyl chloride do not account for most of the methyl chloride in the atmosphere. Since the ocean emissions are very diffuse compared to land-based sources such as biomass burning, the contributions of the latter would be more readily observable in the atmosphere than emissions from the oceans. Often data for atmospheric methyl chloride are reported from ship-board measurements. In such cases, the latitudinal variability is masked both by the variability of the short-term measurements and also by the seasonal changes in the latitudinal gradients. The latitudinal gradients at any time during the year are a combination of the seasonal variations at each site (Fig. 3) and the prevailing mean latitudinal distribution (Fig. 7). This combination causes very little latitudinal change over most of the tropical and middle latitudes during fall and smaller than usual gradients during the summer. The seasonal latitudinal distributions are shown in Fig. 7c. Earlier measurements from ship cruises may have been affected by the seasonality of the latitudinal distribution (Lovelock 1975; Singh et al., 1983; Moore et al., 1996; Tait et al., 1994). 3.2.2. Altitudinal profiles There are no long-term data on the vertical distribution of methyl chloride and for most other trace gases, as frequent, systematic measurements are taken mainly at ground level. Measurements taken at locations such as Cape Kumukahi and Mauna Loa in Hawaii, are unique in establishing an approximate long-term climatology of the vertical distribution of trace gases. Most of our information on the change of concentrations with altitude is based on samples collected on aircraft flights in various parts of the world. Our data are from 8 such experiments conducted between 1983 and 1989: AGASPs 1, 2, and 3; GTE flights (Pacific and Atlantic); ABLE 2A and 2B; and WATOX as described earlier in the paper. In these experiments samples were collected in the same manner as at the long-term sites and analyzed using the same instruments and standards as for the site data. We can construct vertical concentration profiles for methyl chloride from these data. We classified the data from these experiments by latitude as ‘‘Arctic,’’ ‘‘Middle Latitudes,’’ and ‘‘Tropical Latitudes.’’ There are no data on vertical concentrations at middle and higher southern latitudes. The patterns in the data are best seen by taking averages of many measurements within specified heights, which we choose to be 0.5 km deep between 0 and 2 km, roughly representing the boundary layer, and 1 km deep above 2 km to the maximum height of the flights, which in some cases was as low as 4 km and in others as high as 10 km. It should be noted that the aircraft flights span relatively short times of a few weeks at most. As such, the concentrations observed can deviate significantly from the long-term average concentrations shown earlier. For the sake of comparison, however, we have included the average concentrations of methyl chloride at the comparable longterm sites for the same times. These results are shown in Fig. 8. Earlier data from similar missions have been reported, extending well into the stratosphere (Penkett et al., 1980; Fabian et al., 1996; Pierotti et al., 1980; Schauffler et al., 1993). The vertical distributions suggest two conclusions about the budget of methyl chloride. First, that the higher tropical concentrations manifested in the long-term time series are representative of the troposphere and not just the surface concentrations. In tropical and other lower latitudes the vertical concentrations of methyl chloride are higher than the concentrations measured at similar heights at middle or higher latitudes. Second, that there are major sources of methyl chloride in the tropics. The graphs show that the aircraft data are well within the observations at the long-term sites for the arctic and middle northern latitudes, but in the tropics the aircraft data are generally higher than at the marine sites, and these concentrations decrease with altitude, which is a signature of ground-based sources. This is especially notable in the 1985 ABLE experiments, which could represent the effect of tropical biomass burning. It is also noteworthy that although Mauna Loa is 3.4 km higher than Cape Kumukahi, the average concentrations at the two sites are almost the same (Mauna Loa is 3$3 pptv higher than Cape Kumukahi, where the $are the 90% confidence limits of the difference). Little or no average differences are seen between Palmer station and the South Pole in Antarctica even though the pole is at 2.8 km and Palmer is at sea level. The lack of a difference may be due to the few data available from the antarctic. These middle and high latitude cases are quite unlike the inland tropics where concentrations are high at ground level and decrease with altitude, eventually reaching values close to those observed in the marine boundary layer. 4. Estimates of emissions One of the uses of these data is to estimate the total emissions of methyl chloride at various latitudes. We have used a low-resolution two dimensional box model of the atmosphere and a separate detailed photochemical model for OH to estimate the emissions based on the data from the long-term sites (Lu and Khalil 1991; Moraes, 1995). The mass balance model consists of 6 tropospheric boxes spanning 60—90° to represent the M.A.K. Khalil, R.A. Rasmussen / Atmospheric Environment 33 (1999) 1305—1321 1315 polar regions and the data from Barrow and Antarctica; 30—60° latitude representing the middle latitudes and the data from Cape Meares and Tasmania; and 0—30° representing the tropical and sub-tropical areas and the sites at Hawaii and Samoa. Each tropospheric box is associated with a stratospheric box with which air masses are exchanged to take into account the losses of methyl chloride by reactions with stratospheric OH and photodissociation. The transport within the stratosphere is neglected. The source de-convolution model for tropospheric sources (S ) is written as: 2 d C"S"XC (1) dt d C S X X C 21 2 2 " 2 ! 22 dt C O X X C 12 11 1 1 C2"[C , C , C , C , C , C ] 2 C2"[C , C , C , C , C , C ] S2"[S , S , S , S , S , S ] 2 diag X 21 N N N N N N "! . gs , gs , g , g , gs , gs N N N N N N diag X "![g , g , g , g , g ] 1 1 1 1 1 12 diag X "![g , g , g , g , g , g ] 11 (2) (3a) (3b) (3c) (3d) (3e) (3f) &&&&&&&&&&&&&&&&&&&&&&&&&& Fig. 8. The vertical distribution of methyl chloride at various latitudes. For the Arctic profiles we took the concentrations at Barrow, Alaska, for comparison. There are three sets of points: a single point representing the average concentrations during 1983—1986, which is the span of the Arctic experiments when we measured methyl chloride; the span above this average is the maximum and minimum monthly average concentration measured between 1983 and 1986, and the span above this is the monthly average concentrations during Aprils of the years when the two AGASP experiments were conducted. The lower concentration at the long-term sites correspond to the 1986 when lower concentrations of methyl chloride were also observed during the aircraft flights. For the middle latitudes, we used measurements at Cape Meares for comparison. The sequence of points plotted is the same as already described for the Arctic profile. For the tropical profiles, we used Cape Kumukahi and Samoa for comparison. In this case we have plotted the average during 1983—1986 as a single point and the ranges as maximum and minimum monthly concentrations observed during this period. The lower set of points and range is for Cape Kumukahi and the upper for Samoa. Here we have not plotted the average concentrations during the months when the flights were conducted (as for the middle and Arctic latitudes). These results suggest that the high tropical concentrations at the long-term sites are probably representative of the troposphere as concentrations aloft are higher in the tropics compared to middle and high latitudes. 1316 M.A.K. Khalil, R.A. Rasmussen / Atmospheric Environment 33 (1999) 1305—1321 diag(X )" (g #g #g ), 22 2 N #g #g #g g , 2 N 2 1 N #g #g #g , g 2 N 2 N #g #g #g , g 2 N 2 N #g #g #g , g 2 N 2 1 (g #g #g ) 2 1 (3g) Upper Diag. N N , g [X ]"! g , g , g , g 22 2 2 2 2 N 2 N Lower Diag. N N ,g N ,g ,g ,g [X ]"! g 22 2 N 2 N 2 2 2 dC "!X !X C 12 11 1 dt C (t)"e!X11 d C (t!d) 1 1 #X\ [I!e!X11d ]X C 11 12 2 dC S " 2#X C #X C 22 2 21 1 2 dt (3h) (3i) (4a) (4b) (5) C is for concentrations, here taken as measured mixing ratios in pptv, and S is for the source (here pptv yr\). We have split the system of equations into the tropospheric components (T) and the stratospheric components (S) in Eq. (2). The elements of the S and C are written in Eq. (3) (as the transpose of the vectors to save space). The two subscripts are for the troposphere with the first for the northern (n) and the southern (s) hemispheres and the second for the polar (p), middle (m), and tropical (t) latitudes. For the stratospheric concentrations the additional subscript ‘‘h’’ is used to designate ‘‘high atmosphere’’. The X matrix is split into four matrices as in Eq. (2). The parts X , X , and X have only diagonal 21 12 11 elements as shown in Eq. (3d)—(3f); all other elements are zero. ) is more complicated and is expressed in three 22 Eqs. 3g—3i. These three equations for ) represent the 22 diagonal, upper-diagonal and lower-diagonal parts written in this form to save space. The upper-diagonal represents the elements that go directly above the diagonal and the lower-diagonal terms that go do directly below the diagonal. All other elements of ) are zero. In these 22 equations (3), the gs represent inverse transport times and lifetimes. g , g , and g are the inverse strato 1 1 spheric—tropospheric exchange times for the polar, middle, and tropical latitudes. g , g , and g are the 2 2 2 inverse exchange times between polar to middle, middle to tropics and tropic to tropic latitudes. The remaining g are the inverse lifetimes where i"n or s and j"p,m, GH or t as before. For the inverse stratospheric lifetimes the gs have the additional subscript ‘‘h’’. All elements of ) are in units of 1 yr\. N where i"p, m, and t are the G number of molecules of air in the polar, middle, and tropical tropospheres; N represent the analogous numFG bers for the stratosphere (The numbers of molecules of air are: troposphere total"8.5; stratosphere total"2.1; troposphere: polar"0.45, middle"1.5, tropical"2.3; stratosphere : polar"0.26, middle"0.43, tropical "0.36 in units of 10 molecules). Since we assume that there is no stratospheric source of methyl chloride, the stratospheric concentrations are fully determined by the tropospheric measurements and the chemical and transport parameters of the model. Equations for the stratospheric concentrations can be solved exactly, for each month, using the tropospheric concentration data as in Eqs. (4a)—(4b); thus specific measurements of stratospheric concentrations are not required. d is the time step for the solution, here taken to be one month. The source de-convolution is written in Eq. (5). Here C, dC/dt are obtained from the measurements discussed earlier and the elements of X are obtained from the photochemical model for the lifetimes and from meteorological data for the exchange rates between the regions. The structure of these models and their solutions are discussed in detail by Khalil and Rasmussen (1984b). The general formulation allows for a variety of resolutions as they suit a particular application — here constrained by the six locations where measurements were taken. The transport parameters are estimated from existing meteorological data and are consistent with similar models published earlier (Newell et al., 1972). The transport times between the tropospheric boxes from polar to middle, middle to tropical, and across the tropical latitudes are about 0.3, 0.2, and 0.4 yr, respectively; the times for the exchange of tropospheric air with the stratosphere is 8 yr on average. The lifetimes of methyl chloride in each of the 6 tropospheric boxes are calculated for each month of the year using the photochemical model described by Lu and Khalil (1991) and Moraes (1995). Annually averaged stratospheric lifetimes are used (0.7, 1.8, 3.7 yr in tropical, middle and polar regions). The calculated average stratospheric concentrations are in good agreement with data from Fabian et al. (1996). The annual average tropospheric concentrations of OH in this model are 0.2, 0.7, 1.7, 1.4, 0.5 and 0.2;10 molecule cm\ in the regions represented by np, n, nt, st, s and sp, respectively. The average OH in the model is 10 molecule cm\ in the troposphere. M.A.K. Khalil, R.A. Rasmussen / Atmospheric Environment 33 (1999) 1305—1321 In each tropospheric box the calculation of the lifetime takes into account the surface temperature, temperature lapse rate, and changes of air density with altitude as in Khalil and Rasmussen (1984c). The mean tropopause height is also adjusted for each latitudinal band (8, 12, and 16 km from polar to equatorial). The vertical mixing ratio of methyl chloride is assumed to be constant in the troposphere based on the observations discussed earlier. The average global tropospheric lifetime of methyl chloride turns out to be 1.4 yr due to reaction with OH. The total atmospheric lifetime may be shorter if there are other sinks, such as losses in the oceans. The calculations of the emissions at various latitudes are shown in Fig. 9. According to these calculations, the observed concentrations imply a source of about 3.7 Tg yr\. There are practically no emissions in the polar regions and moderate emissions in the middle latitudes (0.33 and 0.11 Tg yr\ north and south respectively). Some 85% of the emissions occur in the tropics and sub-tropics, which represent half the earth’s surface area in this model (1.62 and 1.54 Tg yr\ north and south, respectively). This is expected because the concentrations of methyl chloride are higher in the tropics on average and so is the concentration of OH. Both these factors require substantially higher emissions in the tropics compared to other locations. Crutzen and Gidel (1983) drew qualitatively similar conclusions from their analysis. It seems that all the known sources, namely oceans, fungal degradation of wood and biomass burning are concentrated in the tropics, consistent with the results of the source de-convolution and the observations of the latitudinal distribution of methyl chloride. 1317 The year-to-year variations of the estimated global emissions are between 3.5 and 3.9 Tg yr\. There is some seasonality in the calculated emissions, with higher than normal northern tropical emissions between October and March, and somewhat higher than average middle northern hemisphere emissions from February to May. A major portion of the observed seasonal variation of methyl chloride concentration is therefore explained by the seasonal cycle of OH at all latitudes. In the polar regions, which constitute only about 13% of the surface, the seasonality of emissions may also be driven by seasonal differences of transport, which we have not taken into account. There are a number of uncertainties inherent in these calculations and in all similar calculations. Uncertainties exist is all three components — measurements, chemistry, and transport. For the measurements there are potential errors in absolute calibration. Since the estimated emissions are directly proportional to measured concentrations, calibration errors lead to proportionately similar errors in the estimated emissions. We believe that these errors, in the accuracy of measurements, are unlikely to exceed 10%. Errors in the chemistry can be more complex as both the absolute oxidizing capacity of the atmosphere (here OH concentrations) and its distribution in space and time are uncertain. The absolute error in OH leads to a proportionate error in the total estimated emissions. This we believe to be small, as the current model is consistent with the average OH determined from methyl chloroform measurements (Spivakovsky et al., 1990; Prinn et al., 1992). There are some differences in the estimated OH at various latitudes Fig. 9. Calculated emissions of methyl chloride at various latitudinal bands represented by the long-term measurements shown in Fig. 2. Slow T refers to slowing down the transport across latitudes to half the average values, and Fast T refers to speeding up the transport to twice the average values adopted in this study. 1318 M.A.K. Khalil, R.A. Rasmussen / Atmospheric Environment 33 (1999) 1305—1321 among the models available to us and discussed in the literature (Spivakovsky et al., 1990; Lu and Khalil, 1991). These uncertainties cannot be quantified at present because there are no observational data on the climatology of OH at various latitudes. The rate constant for the reaction between methyl chloride and OH is also subject to errors. Recent data have led to a substantial revision (DeMore et al., 1997). The remaining uncertainty in the temperature dependence of the rate constant would lead to a range of emissions between 2.8 and 4.6 Tg yr\. Finally, there are uncertainties in the transport parameters. These are both in the mean transport efficiency and in its seasonal changes. Here only the mean values are used. As the transport is speeded up, the emissions become more sharply confined near regions of higher concentrations. The opposite happens when the transport is slowed down. In the present case, doubling or halving the transport times leads to relatively small changes in the estimated emission rates at various latitudes, and does not affect the total source required to balance the losses. The results of such calculations are included in Fig. 9. This insensitivity to transport is partly due to the moderately short lifetime of methyl chloride and to the smallness of the latitudinal gradients, which determine how much is transported from one latitude to another. Another set of uncertainties in estimating the global emissions relates to additional sinks that are known to exist or may exist. Our estimates suggest that these are small compared to reaction with OH, but may be significant when taken together and would therefore increase the disparity between the total emissions needed to explain the atmospheric concentrations and the known emissions from specific sources. Recent experiments have shown that at latitudes approximately above 50° in each hemisphere, the oceans become a net sink of methyl chloride (Moore et al., 1996; Tait et al., 1994; Khalil and Rasmussen, 1998a; Lobert, personal communication). The net oceanic sink amounts to about 33 and 50 Gg yr\ for the northern and southern polar regions (60—90°). These have been added to results in Table 1 (but not included in the figures). Two additional sinks are possible but at present we do not have enough data to add their potential contributions into the budget. First, some soils are known to take up methyl chloride. This could as much as 0.2 Tg yr\, but this estimate is highly uncertain because the extent of the soils that take up methyl chloride is unknown (Khalil and Rasmussen, 1998c). Second, reactions with marine boundary layer chlorine radicals could constitute yet another sink in the atmosphere, which too may be more effective in the tropical latitudes. Based on rough calculations, this sink could be up to 0.4 Tg yr\ using 5;10 molecules of Cl in the marine boundary layer (1 km) and negligible elsewhere (Singh et al., 1996; Rudolph et al., 1996; Keene et al., 1996; Aucott, 1997). 5. Discussion In this paper we have discussed the long-term behavior of methyl chloride in the earth’s atmosphere. The sixteen-year global data set is archived for readers to use in their own research. The salient points of the data are summarized in Table 1. The main features of the data are Table 1 The observed and calculated balance of methylchloride in the atmosphere based on data from 1981—1996 Northern hemisphere C (pptv) C (Tg) Seasonal cycle (%) Variability (%) Lifetime by OH (yr) Emissions (Tg yr\) Southern hemisphere Polar Middle Tropical 579.7 0.35 15 2.8 11.7 0.02 596.9 1.05 10 1.9 2.2 0.33 614.7 1.33 10 2.2 0.8 1.62 Tropical 620.0 1.35 !3 1.9 0.9 1.54 Middle 597.7 0.85 !6 2.5 3.6 0.11 Polar 572.6 0.35 !5 2.6 12.3 0.04 Global 606 5.3 3 2.5 1.4 3.7 Notes: (1) The concentrations are expressed in parts per trillion. The global average is latitudinally weighted. The concentration is converted to the number of Tg of methylchloride in each region: Polar (60—90°), Middle (30—60°) and Tropical (0—30°). The Seasonal Cycle is the difference of the average concentrations during Feb—Oct and Aug—Oct. It represents the cycle amplitude which is expressed as the percent of the mean mixing ratio at the same latitude. The cycle amplitude in pptv can be calculated by multiplying the numbers by C (pptv)/100%. (3) Variability is the standard deviation of monthly average concentrations as a percent of the mean concentration C(pptv). The standard deviations are derived after subtracting seasonal cycles and trends from the data. It represents the residual variability of the data. (4) The lifetime is calculated as the effective reaction rate constant times the average OH concentration at each latitude. The OH concentration is determined from an independent photochemical model. (5) Emissions are estimated using a transport-chemistry model. M.A.K. Khalil, R.A. Rasmussen / Atmospheric Environment 33 (1999) 1305—1321 that the average concentration is about 600 pptv, there are small uncertain trends, and there is more methyl chloride in the tropical latitudes than at higher latitudes. This is an unusual latitudinal distribution compared to other moderately lived or long-lived gases, and it is especially different from the characteristic latitudinal signature of gases contributed by industrial and other anthropogenic processes, which tend to result in high concentrations in the middle northern latitudes. Since reactions with OH are believed to be the dominant pathway for the removal of methyl chloride from the atmosphere, it implies that tropical emissions must be substantially more than emissions at higher latitudes as OH is more concentrated in the tropics also. We find that some 3.2 Tg yr\ may be emitted from the tropics and most of the rest from the middle latitudes to make up 3.7 Tg yr\ of emissions. The source deconvolution calculations do not provide any direct information as to what the sources might be, much less how much could come from each source. Such estimates are based on additional and specific experiments and global extrapolations. The current budget of methyl chloride based on emissions from the oceans, fungi, biomass burning, and other sources will be discussed elsewhere. It is noteworthy that the current best estimates of the known sources and their emission rates do not readily account for the 3.7 Tg yr\ or more required from the calculations in this paper. This leaves open the possibility of undiscovered sources, which could include atmospheric formation from the chloride in the marine boundary layer. The current source model includes this possibility as it does not distinguish between surface emissions and atmospheric formation. The data we have discussed are primary observational information on the global cycle of methyl chloride. We have used them to estimate the emissions required, and we have discussed some of the uncertainties. The task of apportioning the estimated emissions and making them compatible with the latitudinal observations of methyl chloride is the next step towards understanding the role of human activities on the cycle of methyl chloride in the environment and its role in affecting the ozone layer and the earth’s climate. Acknowledgements We thank Martha Shearer at Portland State University, Don Stearns and Bob Dalluge at the Oregon Graduate Institute, Bill Keene at the University of Virginina and Bill Sturges at the University of East Angila, for their contributions to this work. We thank the staff at the Cape Grim Baseline Station in Tasmania and NOAA/ GMCC, now NOAA/CMDL, for collecting samples at the long-term sites. This project was supported in part by grants from NASA (CNAG-1-589), NSF (CDPP- 1319 8821320), and the Department of Energy (CDOE DEFG06-84ER60613). 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