Atmos. Chem. Phys., 5, 3139–3151, 2005 www.atmos-chem-phys.org/acp/5/3139/ SRef-ID: 1680-7324/acp/2005-5-3139 European Geosciences Union Atmospheric Chemistry and Physics Impact of mixing and chemical change on ozone-tracer relations in the polar vortex R. Müller1 , S. Tilmes1,* , P. Konopka1 , J.-U. Grooß1 , and H.-J. Jost2 1 ICG I, Forschungszentrum Jülich, 52425 Jülich, Germany Area Environmental Research Institute, Sonoma, CA, USA * now at: ACD, NCAR, Boulder, CO, USA 2 Bay Received: 8 June 2005 – Published in Atmos. Chem. Phys. Discuss.: 10 August 2005 Revised: 4 November 2005 – Accepted: 7 November 2005 – Published: 23 November 2005 Abstract. Tracer-tracer relations have been used for a long time to separate physico-chemical change from change caused by transport processes. In particular, for more than a decade, ozone-tracer relations have been used to quantify chemical ozone loss in the polar vortex. The application of ozone-tracer relations for quantifying ozone loss relies on two hypotheses: that a compact ozone-tracer relation is established in the ‘early’ polar vortex and that any change of the ozone-tracer relation in the vortex over the course of winter is caused predominantly by chemical ozone loss. Here, we revisit this issue by analysing various sets of measurements and the results from several models. We find that mixing across the polar vortex edge impacts ozone-tracer relations in a way that may solely lead to an ‘underestimation’ of chemical ozone loss and not to an overestimation. Further, differential descent in the vortex and internal mixing has only a negligible impact on ozone loss estimates. Moreover, the representation of mixing in three-dimensional atmospheric models can have a substantial impact on the development of tracer relations in the model. Rather compact ozonetracer relations develop – in agreement with observations – in the vortex of a Lagrangian model (CLaMS) where mixing is anisotropic and driven by the deformation of the flow. We conclude that, if a reliable ‘early vortex’ reference can be obtained and if vortex measurements are separated from mid-latitude measurements, ozone-tracer relations constitute a reliable tool for the quantitative determination of chemical ozone loss in the polar vortex. 1 Introduction In the stratosphere, compact relations are expected between tracers for which quasi-horizontal mixing along isentropes Correspondence to: R. Müller ([email protected]) is fast compared to their local chemical lifetimes (Plumb and Ko, 1992). This fact has been exploited in a variety of studies addressing a wide range of stratospheric research issues (e.g., Roach, 1962; Fahey et al., 1990; Volk et al., 1996; Sankey and Shepherd, 2003, and references therein). Further, it has been suggested that observed tracer-tracer relations can be used as a tool for the validation of chemistry climate models (Proffitt et al., 2003; Khosrawi et al., 2004) since the results of such models are otherwise difficult to compare with observations. As long as a strong polar vortex exists, compact relations are also expected for the air mass inside the polar vortex. In particular, as (in the absence of halogen-catalysed chemical loss) ozone in the winter polar vortex can be considered long-lived (e.g., Proffitt et al., 1992; Sankey and Shepherd, 2003), compact ozone-tracer relations are expected for the polar vortex (e.g., Proffitt et al., 1993; Müller et al., 2001; Tilmes et al., 2004). Therefore, tracer-tracer correlations (TRAC) have been used, for more than a decade now, to quantify chemical ozone loss in the polar vortices. Measurements from aircraft (Proffitt et al., 1990, 1993; Richard et al., 2001; Ross et al., 2004; Ulanovskii et al., 2004), satellites (Müller et al., 1996; Tilmes et al., 2003b, 2004), balloons (Müller et al., 2001; Salawitch et al., 2002; Vogel et al., 2003; Robinson et al., 2005), and from the Space Shuttle (Michelsen et al., 1998) were used for such analyses. The TRAC methodology has been described in detail elsewhere (e.g., Proffitt et al., 1990; Müller et al., 1996, 2001; Salawitch et al., 2002; Tilmes, 2004; Tilmes et al., 2004). Briefly, an ozone-tracer relation that is established in the ‘early’ polar vortex will be unaltered (‘frozen in’) throughout the existence of the polar vortex in the absence of mixing and chemical ozone loss. In particular, diabatic descent inside the vortex alone cannot change an ozone-tracer relation. Considering the change of ozone-tracer relations within the vortex for quantifying chemical ozone loss in the polar © 2005 Author(s). This work is licensed under a Creative Commons License. outside vortex air is characterised by different ozone-tracer relationships, with the outside vortex relationships showing greater ozone mixing ratios (and a stronger variability) for equal values of theettracer than inside relationships R. Müller al.: Ozone/tracer relations in(e.g., the Profpolar vortex fitt et al., 1990; Müller et al., 1999, 2002; Jost et al., 2002; Tilmes et al., 2003b). Therefore, if mixing occurs between rrrrrr ozone and mixing ratios (andvortex, a stronger for rr air greater masses inside outside of the it willvariability) lead to rrrrrr rrr the same values of the tracer than inside relationships (e.g., r r r r r rrrrr points lying along the dotted mixing lines and thus above the rr rrrrrr rr Proffitt et al., 1990; Müller al., 1999, Jost et al., rr rr rrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr original ozone-tracer relation in theetvortex (Fig.1, 2002; top panel). rrrrrrrrrrrrrrrrrrrrr r r r r r r rrrrr rrr rrrrrrrrrrrrrr rrrrrrrrrr 2002; Tilmes etbetween al., 2003b). Therefore, if mixing occurs beIn contrast, mixing two air masses that correspond rrrrrrrrrr rrrrrrrr rrrrrrrrr r rrrrrrrrrr r rrrrrr rrrrrrrr r rrrr tween air masses inside and outside the vortex, it will lead to to different points on the same non-linear, compact ozonerrrrrrrr rrrr rrrrrrrr rrrrr rrrrrrr tracer relation, results in points that fall below the compact points lying along the dotted mixing lines and thus above the rrrrrrrr rrrrrr rrrrrrrr rr rrrrrrr rrrr relation (Fig.1, bottom panel). rrrrrrrrrrr original ozone-tracer relation in the vortex (Fig. 1, top panel). rrrrrrr rr rrrrrrrrrrrr rrrrrr Moreover, descent two withair subsequent mixing In contrast,differential mixing between masses that correspond rrrrrr rrrrrr rrrrrr rr r within the vortex impacts tracer-tracer relations. Although to different points on the same non-linear, compact ozoneRaytracer et al. (2002) andresults Salawitch et al. (2002) conclude relation in points that fall belowthat thethecompact effect of differential descent increased the uncertainty of colrelation (Fig. 1, bottom panel). umn ozone loss estimates by not more than ≈3-4% in Arctic Moreover, differential descent with subsequent mixing rr rrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr winter 1999-2000, this mechanism could potentially have an r r rrrrrrrrrrrrrrrrrrrrr rrrrrrrrrrrrrr rr within vortex Although rrrrrrrrrrr rr influence onthe ozone lossimpacts estimatestracer-tracer deduced usingrelations. tracer-tracer rrrrrrrrr rr rrrrrrrrr rr Ray et al. (2002) and Salawitch et al. (2002) conclude that the rrrrrrrrr rr rrrrrrrr relations. rr rrrrr rr r r rrrrrrrrrrrrrrrr effect of differential descent increases the uncertainty Here, we revisit the question of the validity of the two ma- of colrr r r r rrrrrrrrrrrrrrr r r rrrrrrr ozone that lossthe estimates by no more than ≈3–4% in Arctic r r rrrrrrrr jor umn hypotheses TRAC methodology is based on. We r r rrrrrr r r rrrrrrr r rrrrrrrr winter 1999–2000, this mechanism could potentially have an consider the question of the compactness of the ozone-tracer rrrrrr rrrrrr influence ozonepolar loss vortex. estimates deduced tracer-tracer relation in theon‘early’ Further, we using discuss the impact of mixing across polar vortex edge on ozone loss esrelations. timates deduced using tracer-tracer and extend thetwo maHere, we revisit the questionrelations of the validity of the discussion to the related issue of descent within jor hypotheses on which thedifferential TRAC methodology is based. the We vortex. Finally, wequestion examineof thethe representation of ozoneconsider the compactness of the ozoneTracer tracer relations in a variety of models. We conclude that, if tracer relation in the ‘early’ polar vortex. Further, we discuss applied with care, ozone-tracer relations constitute a reliable impact of mixing across the polar vortex edge on ozone Fig. 1. Schematic view of the impact of mixing on high-latitude toolthe for the quantitative determination of chemical ozone loss loss estimates deduced using tracer-tracer relations and exFig. 1. Schematic view of the impact of mixing on high-latitude ozone-tracer relationships. The solid line indicates a vortex ozone- in the polar vortex. ozone-tracer Theasolid line indicates a vortex ozonetend the discussion to the related issue of differential descent tracer relation,relationships. the dashed line mid-latitude ozone-tracer relation, relation, dashed line amixing mid-latitude thetracer dotted lines the show possible lines.ozone-tracer Top panel relation, shows the within the vortex. Finally, we examine the representation of the dotted lines show possible mixing lines. Top shows the conditions for mixing across the vortex edge onpanel isentropes. Note 2 ozone-tracer relations inrelations a varietyinofthe models. conclude Reference ozone-tracer ‘early’ We polar conditions for mixing across the vortex edge on isentropes. Note that there is a substantial difference in tracer mixing ratio between that, if applied with care, ozone-tracer relations constitute a vortex that there is a substantial difference in tracer mixing ratio between vortex and mid-latitude air masses on the same potential temperareliable tool for the quantitative determination of chemical vortex and mid-latitude air masses on the same potential temperature in the thepolar polarvortex. vortex.Bottom Bottom panel 2.1ozone Reference constructed turelevel levelcaused causedby by the the descent descent in panel loss inrelations the polar vortex. from mixing lines shows betweentwo twoairairparcels parcels characshowsthe theconditions conditions for for mixing mixing between characterised relation. terisedbybythe thesame sameozone-tracer ozone-tracer relation. Michelsen et al. (1998) analysed ATMOS observations of ozone N2 O inozone-tracer the Arctic in relations March/April 1993. By polar 2 and Reference in the ‘early’ considering the O3 /N2 O relationship they find that, on the vortex Thehinges validityonof two thesehypotheses: hypotheses has beenthat debated and same N2 O level, much lower (≈50-60%) ozone mixing ravortex First, a compact the questionrelation was raised whether mixing thepolar vortex are observed inside compared to outside of the polar vorozone-tracer is established in theacross ‘early’ vor- tios2.1 Reference constructed from mixing lines edge changes the ozone-tracer relation in a way that leads tex. Michelsen et al. relations (1998) interpret this difference between tex, i.e., before the onset of chemical ozone loss. Second, that to an overestimate or an underestimate of ozone loss (e.g., the out-of-vortex reference (blue line in Fig. 2) and the meaany change of the ozone-tracer relation in the vortex over the Michelsen al.vortex (1998) observations of Michelsen et al., 1998; Plumb et al., 2000; Müller et al., surements insideetthe as aanalysed signatureATMOS of chemical ozone course of winter is caused predominantly by chemical ozone loss, ozone and N2 Othat in chemical the Arctic in March/April By 2001; Salawitch et al., 2002; Rex et al., 2002; Sankey and but emphasise effects are unlikely to1993. acloss. considering the difference. O3 /N2 O relationship they findanthat, Shepherd, 2003; Tilmes et al., 2003b, 2004). Indeed, the imcount for the entire They also construct al- on the The validity of these hypotheses has been debated and same N O level, much lower (≈50–60%) ozone mixing rapact of mixing on tracer-tracer relationships was neglected ternative reference for the O3 /N2 O relation (the yellow line 2 early studies thewhether TRAC methodology (e.g.,the Müller plateobserved 4a, also shown Fig. 2). This reference thein question wasusing raised mixing across vortex in their tios are inside incompared to outside therelapolar voret al., 1996, 1997). However, over the course winter is constructed mixing line for a single eventbetween edge changes the ozone-tracer relation in a of way that and leads tiontex. Michelsenasetaal. (1998) interpret this mixing difference the vortex air will be influenced to a certain bottom panel)reference and is derived tospring, an overestimate ormass an underestimate of ozone loss ex(e.g., (Fig. the1,out-of-vortex (blueconsidering line in Fig.mixing 2) and in the mea- Ozone Ozone tex, i.e., before the onset of chemical ozone loss. Second, that any change of the ozone-tracer relation in the vortex over the course of winter is caused predominantly by chemical ozone loss. 3140 Michelsen et al., 1998; Plumb et al., 2000; Müller et al., 2001; Salawitch et al.,0000, 2002; Rex et2005 al., 2002; Sankey and Atmos. Chem. Phys., 0001–15, Shepherd, 2003; Tilmes et al., 2003b, 2004). Indeed, the impact of mixing on tracer-tracer relationships was neglected in early studies using the TRAC methodology (e.g., Müller et al., 1996, 1997). However, over the course of winter and spring, the vortex air mass will be influenced to a certain extent by mixing in of air from outside the vortex. Inside and outside vortex air is characterised by different ozone-tracer relationships, with the outside vortex relationships showing Atmos. Chem. Phys., 5, 3139–3151, 2005 surements inside the vortex as a signature of chemical ozone loss, but emphasise that chemical effects are unlikely to acwww.atmos-chem-phys.org/acp/0000/0001/ count for the entire difference. They also construct an alternative reference for the O3 /N2 O relation (the yellow line in their plate 4a, also shown in Fig. 2). This reference relation is constructed as a mixing line for a single mixing event (Fig. 1, bottom panel) and is derived by considering mixing in the N2 O/CH4 tracer space. However, it is unlikely that mixing of air between the two end-points of a mixing line that are separated by ≈25 km in altitude for an out-of-vortex www.atmos-chem-phys.org/acp/5/3139/ R. Müller et al.: Ozone/tracer relations in the polar vortex 3141 R. Müller: Ozone/tracer relations in the polar vortex 3 profile (Michelsen et al., 1998, Plate 3) occurred in reality. Thus, this line should only be seen as an approximation to a reference relation that would develop by continuous mixing. Comparing this reference with the March/April 1993 vortex observations from ATMOS, Michelsen et al. (1998) estimate only half of the ozone deficit that they deduce from an out-of-vortex reference. This finding is sometimes erroneously generalised to cases (e.g., Müller et al., 1996; Salawitch et al., 2002; Tilmes et al., 2004) where ozone-tracer relationships in the late vortex are compared with an ‘early vortex’ reference (that is, a reference derived from observations made inside the vortex at a time before chemical ozone loss occurs) to deduce chemical ozone loss. Out-of-vortex ozonetracer relations are characterised by greater ozone mixing ratios for a given tracer value than vortex relations (Proffitt 2. Reference relations for the ozone-methane relation in the early vortex in winter 1992/93 from HALOE (Russell et al., 1993) and et al., 1993; Müller et al., 2001; Tilmes et al., 2004). There-Fig. ATMOS (Michelsen et al.,Reference 1998). The black line shows the reference relationozone-methane deduced from HALOE measurements Fig. 2. relations for the relationin November in the1992 in the early vortex, the dotted lines give the range of uncertainty (Tilmes et al., 2004). The yellow line shows the ‘mixing line’ reference estimated fore, it is incorrect to interpret the finding of Michelsen et al.by Michelsen ◦ N-69◦ N), reference early vortex inATMOS winter 1992/93 from HALOE (Russell al.,(631993) et al. (1998) based on measurements, the solid blue line shows the out-of-vortex, highet latitude measurements from 8.-16. 4. 1993 (Michelsen et al., 1998). The ATMOS relations were converted from a N2 O/O3 relation (1998) as ‘mixing could produce about half the changes inbased on ATMOS ATMOS (Michelsen et al., 1998). The black line shows the refto a CH4 /Oand 3 relation using the reported ATMOS CH4 /N2 O relation (Michelsen et al., 1998). Further shown are HALOE measurements inside the vortex in late relation March (purplededuced diamonds), early April (orange diamonds), and late April 1993 (red The blue diamonds the O3 /N2 O relation’ (Plumb et al., 2000). erence from HALOE measurements indiamonds). November indicate HALOE measurements in April 1993 in high latitudes outside the vortex. In Fig. 2, we compare the out-of-vortex measurements 1992 in the early vortex, the dotted lines give the range of uncertainty (Tilmes et al., 2004). The yellow line shows the ‘mixing line’ from ATMOS in April 1993 (blue line), the Michelsen et al. the N2 O/CH4 tracer space. However, it is unlikely that mix1993; Müller et al., 2001; Tilmes et al., 2004). Therereference estimated by Michelsen etfore, etal.,al. (1998) based on ATMOS (1998) ‘mixing reference’ (the yellow line in their plateing of air between the two end-points of a mixing line that are it is incorrect to interpret the finding of Michelsen et al. separated measurements, by ≈25 km in altitude forthe an out-of-vortex profile (1998) as “mixing could produce about half the changes in solid blue line shows the out-of-vortex, high4a shown here again as a yellow line) and the early vor-(Michelsen et al., 1998, Plate◦ 3) occurred in reality. Thus, the O3 /N2 O relation” (Plumb et al., 2000). ◦ N), latitude (63 N–69 reference based on ATMOS measurements this line should only be seen as an approximation to a refertex reference derived from HALOE early vortex measure-ence relation that would develop by continuous mixing. Inal., Fig.1998). 2, we compare out-of-vortex measurements from 8–16 April 1993 (Michelsen et ThetheATMOS relafrom ATMOS in April 1993 (blue line), the Michelsen et al. ments in 1992 (Tilmes et al., 2004, black line). Obviously, tions were converted from1993 a Nvorto a CH Comparing this reference with the March/April ‘mixing reference’ (the yellow line in their plate 4a 2 O/O(1998) 3 relation 4 /O 3 relation the latter reference and the best reference (yellow line) sug-tex observations from ATMOS, Michelsen et al. (1998) deshown here again as a yellow line) and the early vortex reftheozone reported CH4 /N relation (Michelsen etmeasurements al., 2 O derived duce onlyusing half of the deficit thatATMOS they deduce from erence from HALOE early vortex in gested by Michelsen et al. (1998) are in reasonable agree-an out-of-vortex reference. This finding is sometimes erro1992 (Tilmes et al., 2004, black line). 1998). Further shown are HALOE measurements inside the Obviously, vortex the latter neously generalised to cases (e.g., Müller et al., 1996; Salawreference and the best reference (yellow line) suggested by ment. Certainly, they are closer to each other than any ofitch et al.,in late March (purple diamonds), early April (orange diamonds), 2002; Tilmes et al., 2004) where ozone-tracer reMichelsen et al. (1998) are in reasonable agreement. Cerin the late late vortex are compared vortainly,The they are closerdiamonds to each other than any of them to the the lines to the out-of-vortex ATMOS measurements. There-lationshipsand April 1993 with (redan early diamonds). blue indicate tex reference (that is, a reference derived from observations out-of-vortex ATMOS measurements. Therefore, ozone loss fore, ozone loss estimates deduced from these two referencesmade insideHALOE the vortex, atmeasurements a time before chemicalin ozone loss 1993 estimates from these two referencesthe will be rather April in deduced high latitudes outside to deduce chemical ozone loss. Out-of-vortex ozonesimilar. Using the early vortex reference from Tilmes et al. will be rather similar. Using the early vortex reference fromoccurs) vortex. tracer relations are characterised by greater ozone mixing (2004) yields an ozone loss of 117 ± 17 DU for April 1993 Tilmes et al. (2004) yields an ozone loss of 117±17 DU forratios for a given tracer value than vortex relations (Proffitt in the altitude range 380-550 K (corresponding to 1.4 ppm < April 1993 in the altitude range 380–550 K (correspondingwww.atmos-chem-phys.org/acp/0000/0001/ Atmos. Chem. Phys., 0000, 0001–15, 2005 tion of different compact tracer-tracer relations in the stratoto 1.4 ppm<CH4 <0.5 ppm), whereas employing the ‘mixing sphere (e.g., Michelsen et al., 1998; Plumb, 2002; Proffitt line reference’ from Michelsen et al. (1998) yields an ozone et al., 2003). loss of 98 DU, that is, only 16% less ozone loss than obNevertheless, even state-of-the-art three-dimensional tained from the Tilmes et al. (2004) reference. Nonetheless, models will misrepresent transport, and thus tracer-tracer relong-range (in tracer space) mixing lines can only yield an lations, in some way. Depending on the numerical advection approximation to the atmospheric conditions. Therefore, if scheme employed, transport errors are introduced through used as reference relations for ozone loss estimates, mixing numerical diffusion and dispersion (e.g., Rood, 1987; Müller, line references will be associated with a greater uncertainty 1992). Dispersion errors that arise particularly strongly in than an early vortex reference deduced from measurements. centred difference and in spectral schemes, may lead to spurious scatter in simulations of nonlinear tracer-tracer relation2.2 Representation of ozone-tracer reference relations in ships (Thuburn and McIntyre, 1997). models While classical two-dimensional models have been used in the past to study tracer-tracer relations (Plumb and Ko, 1992; Proffitt et al., 1992), today three-dimensional models are available for the simulation of transport and chemistry in the stratosphere. A particular advantage of three-dimensional models is that transport barriers in the stratosphere can be better represented than in two-dimensional models. The most important stratospheric transport barriers, the polar vortex edge and the subtropical barrier, are essential for the formawww.atmos-chem-phys.org/acp/5/3139/ 2.2.1 Three-dimensional Chemistry Climate Models Recently, Sankey and Shepherd (2003) presented a thorough investigation of tracer relations in the stratosphere using the Canadian Middle Atmosphere Model (CMAM); they used a number of observed tracer-tracer relations to validate the model results. The model uses a (T32) spectral transport scheme with 50 layers in the vertical and a ≈3 km vertical resolution in the middle atmosphere. The vertical diffusion Atmos. Chem. Phys., 5, 3139–3151, 2005 3142 R. Müller: Ozone/tracer relations in the polar vortex R. Müller et al.: Ozone/tracer relations in the polar vortex 5 ozone loss in the Arctic using CMAM results (Sankey and Shepherd, 2003). In the CMAM Antarctic vortex, for which a transport barrier is simulated, a compact ozone-tracer relation develops in the model. In CMAM it takes months for the compact correlation to develop; a truly compact correlation is established in August. A recent analysis of ILAS II measurements in Antarctic winter 2003 indicates that a compact relation had developed by the end of June (Tilmes et al., 2005b) (Tilmes et al., 2005a1 ). The fact that the simulated ozonetracer relation in the Antarctic vortex in CMAM does not resemble measurements by HALOE, ATMOS, and ILAS II (Müller et al., 1996; Michelsen et al., 1998; Tilmes et al., 2005b) is most likely due to an underestimate of halogencatalysed ozone depletion in the CMAM Antarctic vortex. Sankey and Shepherd (2003) raised the question whether, given limited observations at a particular latitude, one could Fig. 3. The ozone-methane relation in the Northern hemisphere be under the false impression that a compact ozone-tracer rein January 1992. Shown are HALOE observations for the altitude lation exists, when in reality this is not the case. To illustrate range 10–100 hPa for the period 10 to 14 January 1992. The obtheir point, they consider (their Fig. 19) CMAM data for the servations were made at equivalent latitudes of 25 –40 N (purple O3 /CH4 relation inside the polar vortex for 1 January. (The symbols), 40◦ –50◦ N (green symbols), 50◦ –60◦ N (blue symbols), ◦ –65 ◦N we consider actual HALOE mid Janthe early springare vortex in years when HALOE a vortex being defined as a column of air with potential vortic60the (redmeasurements symbols).in The blackofdiamonds observations in- provides uary 1992 (Fig. 3) colour-coded according to equivalent latigood coverage of the polar area (e.g., early April 1992, 1995, side the polar vortex according to the potential vorticity criterion of ity greater than 400 PVU at 10 hPa, D. Sankey, pers. comm.). tude. Based on the selection criteria of Tilmes et al. (2004), 1996) show compact relations of both HCl and ozone with three HALOE measurements (black symbols in Fig. 3) are area long-lived tracers et al.,of 1996; Tilmes et al., 2004). Tilmes (2004). The grey shaded shows the(Müller range CMAM The CMAM model vortex is then sampled at the actual lolocated in the polar vortex in January 1992. These profiles model results for theclearly vortex in a simulated January (Sankey and show a rather compact O3 /CH4 relation, more comcations of HALOE measurements in January 1992. Due pact than the CMAM relation at the location of the HALOE Shepherd, 2003). (The vortex is defined for the model results as to the HALOE measurement geometry, these measurement measurements. Solely, the HALOE measurements at top altitudes show characteristics of outsidegreater vortex air.than The obpotential vorticity 400 PVU at 10 hPa). locations rarely intercept the CMAM vortex. The CMAM served O3 /CH4 relation for outside vortex, mid-latitude air shows considerable scatter, but always greater ozone values O3 /CH4 values at the HALOE measurement locations form for a given tracer mixing ratio than the vortex air. a compact relation for CH4 lower than ≈1.3 ppm; for CH4 Further,coefficient measurements of K the ILAS set to 1(Sasano m2 s−1 . In the model simulations, zz is instrument greater than ≈1.3 ppm, the CMAM O3 values at the HALOE et al., 1999) which provides a good coverage of the polar area In summary, the lack of a compact O3 /CH4 relationship in distinct tracer-tracer relations in1 the mid-to the concluthe CMAM Arctictropics, vortex couldthe be leading in winter 1996-97 demonstrate that a compact ozone-tracer develop measurement locations show some scatter, albeit less scatter sion that apparently compact correlations in the vortex may relation develops in the Arctic vortex which is clearly sepasurfrelation zone, and in2003b). the Antarctic wintersampling vortex ac-air-mass when result from insufficient of thein vortex rated fromlatitude the out-of-vortex (Tilmes et al., than all the CMAM vortex model points (Sankey and Shepreality no compact exits (Sankey The ILAScordance Arctic vortex measurements show no indication with observations (e.g.,in2003). Michelsen etrelation al., 1998; Rayand Shepherd, of a variability of the ozone-tracer relation resembling that However, there is no evidence from measurements in herd, 2003). That is, if the real atmosphere were as simulated polarwith regions the that such a problem occursarin reality. in the CMAM model2002; vortex. Also, HALOEet measurements et al., Proffitt al., 2003)theand theoretical by CMAM, and had HALOE observed that model atmoguments of Plumb (2002). sphere during January 1992 the apparent correlation would www.atmos-chem-phys.org/acp/0000/0001/ Atmos. Chem. Phys., 0000, 0001–15, 2005 However, the model is incapable of producing a strong pohave been the result of insufficient sampling. This thought lar vortex in the Arctic: ‘there is virtually no barrier at all experiment indicates the possible existence of a problem in the CMAM Arctic vortex’ (Sankey and Shepherd, 2003). (Sankey and Shepherd, 2003). A transport barrier at the Arctic vortex edge (together with To address the question whether such a problem might exrapid mixing within the vortex) is the reason why compact ist for conditions in the early polar vortex in the Arctic, we tracer-tracer relations develop inside the polar vortex that consider the actual HALOE measurements in mid-January are distinct from the tracer-tracer relations outside the vor1992 (Fig. 3) colour-coded according to equivalent latitude. tex (e.g., Plumb, 2002). The segregation between compact Based on the selection criteria of Tilmes et al. (2004), three tracer-tracer relationships inside and outside the vortex has HALOE measurements (black symbols in Fig. 3) are lobeen observed on many occasions (e.g., Proffitt et al., 1993; cated in the polar vortex in January 1992. These profiles Michelsen et al., 1998; Müller et al., 1999; Ray et al., 2002; show a rather compact O /CH 3 4 relation, clearly more comTilmes et al., 2003b). pact than the CMAM relation at the location of the HALOE The formation of such a segregation of tracer-tracer relameasurements. Solely the HALOE measurements at top altionships and the existence of a transport barrier at the edge titudes show characteristics of outside-vortex air. The obof the Arctic vortex are the central assumptions for applying served O3 /CH4 relation for outside-vortex, mid-latitude air tracer-tracer relations to deduce chemical ozone loss inside the vortex (e.g., Müller et al., 1996; Tilmes, 2004). In the 1 Tilmes, S., Müller, R., Grooß, J.-U., Nakajima, H., and Sasano, CMAM model, for Arctic conditions, these assumptions are not valid due to the the lack of a transport barrier at the edge Y.: Development of tracer relations and chemical ozone loss during of the Arctic vortex in CMAM. Consequently, by means of the setup phase of the polar vortex, J. Geophys. Res., submitted, tracer-tracer relations it is not possible to deduce chemical 2005a. Fig. 3. The ozone-methane relation in the Northern hemisphere in January 1992. Shown are HALOE observations for the altitude range 10-100 hPa for the period 10 to 14 January 1992. The observations were made at equivalent latitudes of 25◦ -40◦ N (purple symbols), 40◦ 50◦ N (green symbols), 50◦ -60◦ N (blue symbols), 60◦ -65◦ N (red symbols). The black diamonds are observations inside the polar vortex according to the potential vorticity criterion of Tilmes (2004). The grey shaded area shows the range of CMAM model results for the vortex in a simulated January (Sankey and Shepherd, 2003). (The vortex is defined for the model results as potential vorticity greater than 400 PVU at 10 hPa). ◦ ◦ Atmos. Chem. Phys., 5, 3139–3151, 2005 www.atmos-chem-phys.org/acp/5/3139/ shows considerable scatter, but always greater ozone values for a given tracer mixing ratio than the vortex air. Further, measurements of the ILAS instrument (Sasano et al., 1999), which provides good coverage of the polar area in winter 1996–1997, demonstrate that a compact ozonetracer relation develops in the Arctic vortex which is clearly separated from the out-of-vortex relation (Tilmes et al., 2003b). The ILAS Arctic vortex measurements show no indication of a variability of the ozone-tracer relation resembling that in the CMAM model vortex. Also, HALOE measurements of the early spring vortex in years when HALOE provides good coverage of the polar area (e.g., early April 1992, 1995, 1996) show compact relations of both HCl and ozone with long-lived tracers (Müller et al., 1996; Tilmes et al., 2004). In summary, the lack of a compact O3 /CH4 relationship in the CMAM2 Arctic vortex could lead to the conclusion that compact correlations in the vortex may be deluded by insufficient sampling of the vortex air mass when in reality no such compact relation exits (Sankey and Shepherd, 2003). However, there is no evidence from measurements in the polar regions that such a problem occurs in reality. 6 R. Müller: Ozone/tracer relations in the polar vortex 3143 PDF (%) 700 K 8 3.00 650 K 1.00 0.70 6 O3 (ppmv) R. Müller et al.: Ozone/tracer relations in the polar vortex 0.50 600 K 0.30 4 0.10 550 K 0.07 2 450 K 11.01.2003 500 K 0.05 0.03 0 0.01 0.4 0.6 0.8 pass 1.0 1.2 CH4 (ppmv) 1.4 1.6 1.8 pass Fig. 4. The relation of passive ozone (O3 ) and CH4 on 11 January 2003 from model simulations (Konopka et al., 2005a) of the Chemical Lagrangian Model of the Stratosphere (CLaMS). Shown are all CLaMS model points poleward of an equivalent latitude of 40◦ N between pass the 350 K and 700 K isentropes. The colour scale shows the probability distribution function (PDF) of O3 and CH4 ; reference relations for vortex air and midlatitude air are shown as thick grey lines. For comparison, an early vortex reference relation (Tilmes et al., 2003a) deduced from MkIV measurements on 16 December 2002 is also shown (black dashed-dotted line). Also shown are approximate isolines of selected pass potential temperature levels. PDFs and potential temperature isolines were calculated for O3 and CH4 bin sizes of 0.05 ppmv and 0.25 ppmv, respectively. Fig. 4. The relation of passive ozone (O3 ) and CH4 on 11 January 2003 from model simulations (Konopka et al., 2005c3 ) of the Chemical Lagrangian Model of the Stratosphere (CLaMS). Shown are all CLaMS model points poleward of an equivalent latitude 2.2.2 of Three-dimensional chemistry transport transport barriers can be represented well 40◦ N between the models 350 K andtures, 700 K isentropes. Theparticularly colour in CLaMS. pass shows theModel probability distribution function (PDF) of Oet 3al. (2005a) andcalIn thescale Chemical Lagrangian of the Stratosphere For Arctic winter 2002/2003, Konopka (CLaMS), advection and mixing are represented in a way that culated the development over the course of the winter of pasforinvortex air and pass midlatitude air are shown is veryCH different from the transportrelations schemes employed Eu4 ; reference sive ozone (O3 ) and CH4 , both treated as pure transport lerian models. The mixing intensity in CLaMS can be conquantities. The probability distribution function (PDF) as thick grey lines. For comparison, an early vortex reference rela-for pass trolled and is anisotropic in space and time (McKenna et al., O3 and CH4 on 11 January 2003 shows that a clear sepa2002b; Konopka et al., 2004,et2005c). to these fearationfrom between MkIV mid-latitudemeasurements and vortex air masses develops tion (Tilmes al., Owing 2003a) deduced on in the model (Fig. 4); shown are all CLaMS model points 2.2.2 Three-dimensional chemistry transport models ◦ N between Here shortcomings of 2002 the CMAMis model are being dis16several December also shown (blackof andashed-dotted Also poleward equivalent latitude of 40line). the 350 cussed that become apparent, when the CMAM model results are K and 700 K isentropes. shown aremeasurements. approximate of selected potential temperature compared in detail with The aim of thisisolines discussion These CLaMS results suggest that in early January a transis not to point to any particular weakness of the CMAM model; In the Chemical Lagrangian Model of the Stratosphere rather levels. port barrier has formed in the model at the edge of the PDFs(2003) and potential temperature isolines were calculated forpoSankey and Shepherd should be commended for conlar vortex leading to a separation between inside and outside such a rather detailed comparison of results from a general pass (CLaMS), advection and mixing are represented in a way ducting O3model with andmeasurements. CH4 bin sizes of 0.05 ppmv and 0.25 circulation tracer relations. Further, ppmv, by that time,respectively. mixing within the vor1 that is very different from the transport schemes employed in Eulerian models. The mixing intensity in CLaMS can be controlled and is anisotropic in space and time (McKenna et al., 2002b; Konopka et al., 2004, 2005b). Due to these features, transport barriers can be represented particularly well in CLaMS. For Arctic winter 2002/2003, Konopka et al. (2005c)3 calculated the development over the course of the winter of paspass sive ozone (O3 ) and CH4 , both treated as purely transport quantities. The probability distribution function (PDF) for pass O3 and CH4 on 11 January 2003 shows that a clear separation between mid-latitude and vortex air masses develops in the model (Fig. 4). The figure shows all CLaMS model points poleward of an equivalent latitude of 40◦ N between the 350 K and 700 K isentropes. 2 Here shortcomings of the CMAM model are discussed that be- come apparent when the CMAM model results are compared in detail with measurements. The aim of this discussion is not to point to any particular weakness of the CMAM model; rather Sankey and Shepherd (2003) should be commended for conducting such a detailed comparison of results from a general circulation model with measurements. 3 Konopka, P., Engel, A., Funke, B., Müller, R., Grooß, J.-U., Günther, G., Wetter, T., Stiller, G., von Clarmann, T., Oelhaf, N. G. H., Wetzel, G., López-Puertas, M., Pirre, M., Huret, N., and Riese, M.: Ozone loss driven by nitrogen oxides and triggered by stratospheric warmings may outweigh the effect of halogens, Geophys. Res. Lett., submitted, 2005c. www.atmos-chem-phys.org/acp/5/3139/ Atmos. Chem. Phys., 0000, 0001–15, 2005 www.atmos-chem-phys.org/acp/0000/0001/ These CLaMS results suggest that in early January a transport barrier has formed in the model at the edge of the polar vortex leading to a separation between inside and outside tracer relations. Further, by that time, mixing within the vortex has homogenised the vortex air mass resulting in a compact ozone-tracer relation in the vortex. The ozone-tracer relation in Eulerian chemical transport models has not been studied extensively. However, its has been shown that compact tracer-tracer relations can be simulated for the polar vortex by Eulerian chemical transport models (Plumb et al., 2000). Recently (Robinson et al., 2005) reported simulations with the SLIMCAT model, showing compact ozone/CFC-11 relations in agreement with balloonborne measurements. 3 Impact of mixing on ozone-tracer relationships in the polar vortex 3.1 Impact of differential descent on tracer relations Differential descent of air masses within an otherwise isolated polar vortex may impact non-linear tracer-tracer relations for the vortex (Ray et al., 2002; Salawitch et al., 2002). Potentially, this mechanism could have an influence on ozone loss estimates deduced using tracer-tracer relations. Atmos. Chem. Phys., 5, 3139–3151, 2005 Differential descent of air-masses within an otherwise isolated polar vortex may impact non-linear tracer-tracer relations for0the vortex (Ray et al., 2002; Salawitch et al., 2002). 0 this mechanism 100 300 on ozone 400 Potentially, could200 have an influence 3144 N O (ppb) 8 2 loss estimates deduced using tracer-tracer relations. Time Loop Plot 4.5 4.0 O3 (ppm) Ozone (ppm) 3.5 3.0 2.5 2.0 1.5 1.0 0 Ozone-tracer relations were used for calculating a proxy ozone profile from a tracer profile in late winter, early spring. If the R. twoMüller relations shown in Fig. 5 are used toindeduce proxy et al.: Ozone/tracer relations the polar vortex R. Müller: Ozone/tracer relations in the polar vortex ozone profiles from a late winter vortex tracer profile characterised by vertical descent, the column ozone corresponding 3.5 to these profiles differs by only ≈ 2.5 DU. In a scenario that is perhaps a bit more realistic, where ∆θ = 2 K, α = 0.33, δ = 1.53.0 and the number of timesteps n = 50, the corresponding difference in column ozone is less than 1 DU; the maximum change of ozone for a given tracer value due to differ2.5 ential descent and subsequent mixing under these conditions is ≈ 50 ppb. 50 100 150 N2O (ppb) 200 2.0 This means that the contribution of the effect of differential descent to the overall uncertainty in the deduced chemical 1.5be small. Given the magnitude of other sources of loss will uncertainty, the contribution from differential descent is very likely to 1.0be insignificant. This finding corroborates conclu50 et al. (2002) 100 and Salawitch 150 sions of Ray et al.200 (2002) who250 N2O (ppb) 250 report, based on balloon measurements in winter 1999-2000, that the effect of differential descent increased the uncerFig. 6. The O3 /N2 O relation from measurements during winter 1999/2000. The large black squares show measurements of the MkIV Fig. 6. on The O3 /N relation from measurements during winter 2O instrument (Toon et al., 1999) 3 December 1999. The coloured symbols showby measurements of the NASA-ER2 aircraft on 23 January 2000 tainty of column ozone loss estimates ≈3-4%. 1999/2000. The2000 large squares were show theand McLaughlin, (green), (blue), and 11 March (red). black Ozone measurements mademeasurements with a UV-photometer of (Proffitt Fig. 5. 5. The impact of of differential descent on on thethe O3O /N32/N O2relation in in7 March 2000 Fig. The impact differential descent O relation 1983), the N2 O measurements with the ALIAS (Webster et al., 1994, 23. 1.) and ARGUS (Loewenstein et al., 2002, 3. and 11. 3.) TDL MkIVforinstrument (Toon et al., 1999) on 3 December 1999. The thethe vortex from anan idealised calculation. TheThe black solid lineline shows vortex from idealised calculation. black solid shows Overplotted instruments. comparison is the O3 /N2 O relation (small black symbols) based on N2 O measurements by an in-situ gas chromatograph (Elkins et al., 1996) with a lessershow temporalmeasurements resolution. coloured symbols of the NASA-ER2 aircraft thethe initial O3O/N relation, thethe redred lineline thethe O3O /N32/N O2relation after initial relation, O relation after 2 O2 O 3 /N 3.2 Impact of cross vortex edge mixing on (blue), ozone-tracer on 23 January 2000 (green), 7 March 2000 and 11reMarch 2020 iterations of differential descent. It is assumed that one third of iterations of differential descent. It is assumed that one third of mixing thepolar vortex edge tracer made relation inside vortex. According to the arguments lations inOzone the vortex were 2000 (red).across measurements with the a UV photometer theofvortex air mass descending as as thethe restrest of 3.2.1 the the vortex air is mass descendstwice twiceasasmuch much of theObservations above, one expects ozone to increase for a given tracer mixand McLaughlin, 1983), the N2 OThis measurements theby the ILAS invortex airair mass, followed byby instantaneous horizontal mixing (see Rex(see et al. (2002) (Proffitt and Jost et al. (2002), based on high altitude vortex mass, followed instantaneous horizontal mixing ing ratio. effect was indeed with observed aircraft in the(Webster Arctic in early 2000,1994, demon-23 January) strument in winter 1996-1997 (Tilmes et al., 2003b). In this ALIAS et al., and ARGUS (Loewentext forfor details). The green dotted lines show thethe gradual change of ofmeasurements text details). The green dotted lines show gradual change strated that mixing across the vortex edge leads to an increase vortex was perturbed by a stratospheric warming stein et al., 3 and March)winter, TDLtheinstruments. thethe O3O/N relation with each timestep. Mixing across the vortex edge non-local in Overplotted tracer2 O2 O relation with each timestep. in the mixing ratio of ozone for a2002, given value of N11 2 O. Fur-is usually in early winter and therefore the vortex edge was permeable 3 /N ther, Rex et tracer al. (2002) and Rayand et al.thus (2002) emphasise thatrelation for comparison is the O3the /N2potential O (small black symbols) untilto late December. ILAS providedreabased good coverage of the space has alter tracer-tracer although in this winter mixing lines were observed, entrainArctic gas polar chromatograph region in winter 1996-1997 covering a latitude on air N2The O measurements by an in-situ (Elkins ◦ ◦ Here, we conduct a rather simple calculation to assess the lations. relation shows greater ozone mixment of extra-vortex did notozone-tracer significantly alter the comrange between 55 -77 N and measuring about fourteen proet al., lower temporal resolution. position of the vortex air 1996) between with Januarya and March 2000. per day. These measurements impact of differential descent on ozone-tracer relationships ing ratios outside of the vortex thanfiles inside (e.g., Proffitt et show al., (see Fig. 7 in Tilmes Here, we conduct a rather simple calculation to assess the Figure 6 shows an example of measurements of such mixet al., 2003b) that inside the vortex ozone increased at a given ing lines between vortex air, depleted in ozone, and outsideinimpact the polar vortex. Wedescent consideronidealised conditions: the 1993; Müller et al., 2001; Rex et al., Jost et (when al., 2002; of differential ozone-tracer relationships N2 O2002; level in December the vortex was still relatively vortex air. The vortex air is characterised on 23 January 2000 weak) and that ainside compact and O3 /N2 outO relation was established vortex described by a We single columnidealised of air; theconditions: vertical coTilmes et al., 2004), mixing lines connecting in theis polar vortex. consider the by ozone mixing ratios up to about 2.5 ppm (green symbols), by early January (when a strong vortex had formed). is mixing perhaps aupbit more realistic, where 1θbetween =2 K, α=0.33, on 7 March 2000 byvortex ozone to about ppm ordinate being potential θ . In given sidethat airratios masses are1.7thus expected to lie the vortex is described by temperature a single column of aair and timestep the vertical (blue symbols), and on 11 March 2000 by ozone mixing raIn casesn=50, when a comprehensive set of tracer measurements δ=1.5 and the number of timesteps the correspond∆tcoordinate the main vortex mass istemperature descending θby ∆θa, given with atimestep fracinside and the outside vortex ozone-tracer relation (Fig. is the air potential . In tios of about 1.2 ppm. Clearly noticeable are the mixing lines is available, further insight on mixing1, under weak vortex condifference in column is less than 1 DU; the maxitowards air top withing greater ozone and greater N2 O mixingozone raditions can be obtained. Considering relations of two longtion of main the vortex toby be 1θ descending (unpanel). 1tαthe vortexairairmass massassumed descends , with a fraction tios, that is air of mid-latitude characteristics. Clearly, there lived tracers that are curved could be used to identify mixing. mum change of ozone for a given tracer value due to differα of the vortex air mass assumed to be descending (unmixed) is no evidence from the measurements of mixing lines on the If both tracers are chosen so that they are not subject to chemozone’ sideential of the O3descent /N2 O relations. ical changeunder over the timescale in question, as it is the case e.g. and subsequent mixing these conditions by δ1θ with δ>1. The vortex air mass is then assumed‘low toWhen be the transport barrier at the edge of the Chem. vortex is Phys., for CFC-11/N chemical change will not interfere with the www.atmos-chem-phys.org/acp/0000/0001/ Atmos. 0000,2 O,0001–15, 2005 is ≈50 ppb. weak, mixing is expected to noticeably influence the ozonediagnosis of mixing. immediately homogenised by horizontal mixing. This proceThis means that the contribution of the effect of differendure is repeated n times with the intention of approximately Atmos. Chem. Phys., 0000, 0001–15, 2005 www.atmos-chem-phys.org/acp/0000/0001/ tial descent to the overall uncertainty in the deduced chemidescribing the development of the vortex over a winter seacal loss will be small. Given the magnitude of other sources son. of uncertainty, the contribution from differential descent is For the vortex air mass typical vertical profiles of ozone likely to be insignificant. This finding corroborates the conand N2 O are prescribed as initial conditions, resulting in an clusions of Ray et al. (2002) and Salawitch et al. (2002), initial O3 /N2 O relation in the polar vortex (solid black line in who report, based on balloon measurements in winter 1999– Fig. 5). The change of this initial O3 /N2 O relation due to the 2000, that the effect of differential descent increased the unaction of differential descent and subsequent mixing in the certainty of column ozone loss estimates by ≈3–4%. vortex can then be followed. In Fig. 5, this change is shown for a rather extreme case, where 1θ =5 K, α=0.33, δ=2 (that 3.2 Impact of cross-vortex-edge mixing on ozone-tracer reis, one third of the vortex air mass descends twice as much as lations in the polar vortex the remaining two thirds) and the number of timesteps n=20. Obviously, even for such conditions, the O3 /N2 O relation is little affected by the effect of differential descent. Mixing across the vortex edge is usually non-local in tracertracer space and thus has the potential to alter tracer-tracer reOzone-tracer relations are used for calculating a proxy lations. The ozone-tracer relation shows greater ozone mixozone profile from a tracer profile in late winter/early spring. ing ratios outside the vortex than inside (e.g., Proffitt et al., If the two relations shown in Fig. 5 are used to deduce proxy 1993; Müller et al., 2001; Rex et al., 2002; Jost et al., 2002; ozone profiles from a late winter vortex tracer profile characterised by vertical descent, the column ozone correspondTilmes et al., 2004). Mixing lines connecting inside- and ing to these profiles differs by only ≈2.5 DU. In a scenario outside-vortex air masses are thus expected to lie between Atmos. Chem. Phys., 5, 3139–3151, 2005 www.atmos-chem-phys.org/acp/5/3139/ R. Müller et al.: Ozone/tracer relations in the polar vortex 3145 January February 17−Feb−1997 to 21−Feb−1997 6 5 5 O3 (ppmv) O3 (ppmv) 1−Jan−1997 to 8−Jan−1997 6 4 3 2 4 3 2 1 0 50 100 150 200 1 0 250 50 N2O (ppbv) /private/walter/hda6/simone/JUELICH/ILASV5/haloe_intern_set_plot.pro Wed Nov 17 12:06:18 2004 /private/walter/hda6/simone/JUELICH/ILASV5/haloe_intern_set_plot.pro N2O_SCATTER/ilas_jan1_n2o_in_out_folien.ps 200 250 6 6 5 5 4 3 2 Wed Nov 17 12:06:28 2004 N2O_SCATTER/ilas_feb3_n2o_in_out_folien.ps May 1−May−1997 to 15−May−1997 O3 (ppmv) O3 (ppmv) 150 N2O (ppbv) March 21−Mar−1997 to 31−Mar−1997 1 0 100 4 3 2 50 100 150 200 250 1 0 N2O (ppbv) /private/walter/hda6/simone/JUELICH/ILASV5/haloe_intern_set_plot.pro Wed Nov 17 12:06:36 2004 50 100 150 200 250 N2O (ppbv) /private/walter/hda6/simone/JUELICH/ILASV5/haloe_intern_set_plot.pro N2O_SCATTER/ilas_mar3_n2o_in_out_folien.ps Wed Nov 17 12:06:42 2004 N2O_SCATTER/ilas_may1_n2o_in_out_folien.ps Fig. 7. The development of the O3 /N2 O relation in the Arctic in winter 1996/1997 based on ILAS measurements (Tilmes et al., 2003b). Shown are four different time periods (1–15 January, 17–21 February, 21–31 March, 1–15 May 1997). Black lines indicate profiles measured inside the polar vortex core, defined using the Nash et al. (1996) criterion. Small black dots indicate measurements outside the polar vortex. 7. The development of the O3 /N2 O relation in the Arctic in winter 1996/1997 based on ILAS measurements (Tilmes et al., 2003b). Also shownFig. is the early vortex reference relation (thick black line, Tilmes et al., 2003b) and its uncertainty (grey shaded area). The reference Shown are four different time periods (January 1-15, February 17-21, March 21-31, May 1-15, 1997). Black lines indicate profiles measured is deduced inside from the the polar earlyvortex January ILAS measurements. core, defined using the Nash et al. (1996) criterion. Small black dots indicate measurements outside the polar vortex. Also shown is the early vortex reference relation (thick black line, Tilmes et al., 2003b) and its uncertainty (grey shaded area). The reference is deduced from the early January ILAS measurements. the inside and the outside vortex ozone-tracer relation (Fig. 1, top panel). 3.2.1 Observations of mixing across the vortex edge Based on high altitude aircraft measurements in the Arctic in early 2000, Rex et al. (2002) and Jost et al. (2002) demonstrated thatAtmos. mixing across the 0000, vortex0001–15, edge leads Chem. Phys., 2005to an increase in the mixing ratio of ozone for a given value of N2 O. Further, Rex et al. (2002) and Ray et al. (2002) emphasise that although in this winter mixing lines were observed, entrainment of extra-vortex air did not significantly alter the composition of the vortex air between January and March 2000. Figure 6 shows an example of measurements of such mixing lines between vortex air, depleted in ozone, and outsidevortex air. The vortex air is characterised on 23 January 2000 by ozone mixing ratios up to about 2.5 ppm (green symbols), on 7 March 2000 by ozone mixing ratios up to about 1.7 ppm (blue symbols), and on 11 March 2000 by ozone mixing ratios of about 1.2 ppm. Clearly noticeable are the mixing lines towards air with greater ozone and greater N2 O mixing ratios, that is air of mid-latitude characteristics. Clearly, there www.atmos-chem-phys.org/acp/5/3139/ is no evidence from the measurements of mixing lines on the ‘low ozone’ side of the O3 /N2 O relations. When the transport barrier at the edge of the vortex is weak, mixing is expected to noticeably influence the ozonetracer relation inside the vortex. According to the arguments above, one expects ozone to increase for a given tracer mixing ratio. This effect was indeed observed by the ILAS instrument in winter 1996–1997 (Tilmes et al., 2003b). In this www.atmos-chem-phys.org/acp/0000/0001/ winter, the vortex was perturbed by a stratospheric warming in early winter and therefore the vortex edge was permeable until late December. ILAS provided good coverage of the Arctic polar region in winter 1996–1997 covering a latitude range between 55◦ –77◦ N and measuring about fourteen profiles per day. These measurements show (see Fig. 7 in Tilmes et al., 2003b) that inside the vortex ozone increased at a given N2 O level in December (when the vortex was still relatively weak) and that a compact O3 /N2 O relation was established by early January (when a strong vortex had formed). In cases where a comprehensive set of tracer measurements is available, further insight on mixing under weak vortex conditions can be obtained. Considering relations of two long-lived tracers that are curved could be used to identify Atmos. Chem. Phys., 5, 3139–3151, 2005 3146 R. Müller et al.: Ozone/tracer relations in the polar vortex mixing. If both tracers are chosen so that they are not subject to chemical change over the timescale in question as is the case for example with CFC-11/N2 O, chemical change will not interfere with the diagnosis of mixing. Mixing across the vortex edge is likewise important for establishing the ozone tracer relation in the very early, incipient vortex. The air in high latitudes in autumn from which the polar vortex is formed, is characterised by low ozone mixing ratios, a remainder of summertime ozone loss. Because the transport barrier of the incipient vortex, while established, is still somewhat permeable, ozone-rich, mid-latitude air is mixed into the vortex. In this way, the ozone-tracer relation in the vortex recovers from summertime ozone loss. This process was first noted by Proffitt et al. (1992) and recently analysed in detail based on ILAS II measurements in the high latitudes of both hemispheres (Tilmes et al., 2005a1 ). 3.2.2 Cross-vortex-edge mixing in conceptual models Plumb et al. (2000) presented a conceptual model, a simple advective diffusive model in cylindrical geometry, to describe the impact of mixing on tracer-tracer relations. Their model simulates the effect of mixing on the relationship of two artificial tracers χ1 and χ2 that are designed to resemble N2 O and NOy . The relation of χ1 and χ2 is the same on both sides of a transport barrier that represents the vortex edge in the model. The typical time scale T for the model is the lifetime of the vortex, say four months or ≈107 s, and the typical horizontal length scale R is from the pole to the subtropical transport barrier, say ≈7·106 m. The dimensionless diffusivity in the vortex edge region is chosen to be K=0.05 by Plumb et al. (2000). If this dimensionless diffusivity is converted to a dimensioned diffusivity D, where D=(K·R 2 )/T , one obtains D≈3·105 m2 s−1 . This value may be compared with effective atmospheric diffusivities deduced from aircraft measurements Deff =5·103 m2 s−1 (Waugh et al., 1997) or diffusivities (D=1.1·103 m2 s−1 ) employed in the chemical transport model CLaMS for reproducing observed filamentary tracer structures at the polar vortex edge (Konopka et al., 2003a, 2005b). The diffusivities in the CLaMS model are the same for studies addressing rather different problems such as reproducing observed filamentary tracer structures (e.g., Khosrawi et al., 2005; Konopka et al., 2005b) or simulating the stratospheric warming in the Antarctic in September 2002 (Konopka et al., 2005a). Note that the Eulerian parametrisation of mixing in the model by Plumb et al. (2000) is different from the Lagrangian concept used in CLaMS, where the mixing intensity is proportional to the gradient of the wind rather than to the wind itself as is the case in Eulerian models. That means, the cross vortex edge diffusivity is likely to be substantially greater in the Plumb et al. (2000) conceptual model than in the stratosphere. Therefore, conclusions based on the results of this conceptual model do not carry over directly to stratospheric conditions. A further caveat for the Atmos. Chem. Phys., 5, 3139–3151, 2005 application of conclusions from this conceptual model to the behaviour of ozone-tracer relations in the stratospheric polar vortex is that Plumb et al. (2000) assume the same tracertracer relation inside and outside the vortex; an assumption that is not valid for the ozone-tracer relation in the polar region (Müller et al., 2001, see also discussion below). 3.2.3 Cross-vortex mixing in a Lagrangian chemical transport model Konopka et al. (2004, 2005c3 ) have shown that in the Lagrangian model CLaMS rather little exchange occurs across the polar vortex edge as long as a stable vortex exists. If exchange occurs, air masses will mix approximately along isentropic surfaces leading to an increase of ozone mixing ratios with respect to the vortex reference relation (Fig. 4). However, the lower the potential temperature level at which the mixing occurs, the less is the deviation of the isentropic surfaces from the vortex reference relation in ozone-tracer space (Fig. 4). That means, the lower down in the vortex mixing occurs, the smaller the impact of mixing events is on the ozone tracer relation (see Lemmen et al., 20054 for a more detailed discussion of this issue). 4 Discussion We have discussed here the validity of the two major hypotheses on which the use of ozone-tracer relations for deducing chemical ozone loss in the polar vortex is based, namely that a compact ozone-tracer relation is established in the ‘early’ polar vortex before the onset of chemical ozone loss and that any change of the ozone-tracer relation in the vortex over the course of winter is mainly caused by chemical ozone loss. Based on both measurements in the polar stratosphere and model results, we argue that a compact ozone-tracer relation develops within the polar vortex. Model results (Sankey and Shepherd, 2003) showing no compact ozone-tracer relation in the Arctic vortex and a rather slow development of compactness of the ozone-tracer relation in the Antarctic vortex are likely caused by an insufficient representation of the transport barrier at the vortex edge in the model employed. Recently, Konopka et al. (2004) analysed the development of ozone-tracer relations in simulations of the Lagrangian model CLaMS (McKenna et al., 2002b), a model in which a strong transport barrier develops at the edge of the polar vortex (e.g. Konopka et al., 2003b, 2004; Steinhorst et al., 2005). Compact ozone-tracer relations are found in the CLaMS results between simulated tracer (CH4 ) and passive ozone mixing ratios in the Antarctic vortex for September to November 4 Lemmen, C., Müller, R., Konopka, P., and Dameris, M.: Tracer-tracer relations as a tool for analyzing polar chemical ozone loss in chemistry-climate models, J. Geophys. Res., submitted, 2005. www.atmos-chem-phys.org/acp/5/3139/ R. Müller et al.: Ozone/tracer relations in the polar vortex 2002 (Konopka et al., 2004). Compact correlations are likewise found for the ozone-tracer relation, when ozone is deduced from POAM satellite measurements interpolated to the CLaMS model grid points. Similarly, CLaMS model simulations for the mid-winter Arctic vortex (Fig. 4, Konopka et al., 2005c3 ) show both a clear separation between mid-latitude and vortex air masses and a compact ozone-tracer relation within the vortex. Indeed, HALOE measurements in the Arctic vortex in January 1992 show a compact ozone-tracer relation (Fig. 3). The same is true for ILAS measurements in the Arctic vortex in January 1997 which provide a better coverage of the vortex (Fig. 7, see also Tilmes et al., 2003b). Reference relations for deducing ozone loss that are derived from mixing lines (Michelsen et al., 1998) yield results for the deduced chemical ozone loss comparable to those obtained by using an ‘early vortex’ relation from within the vortex. Nonetheless, we consider an ‘early vortex’ relation as a more reliable reference than one derived from mixing lines. Inside- and outside-vortex air is characterised by different ozone-tracer relationships, with the outside-vortex relationships showing greater ozone mixing ratios (and a stronger variability) for equal values of the tracer than inside relationships (e.g., Proffitt et al., 1990; Müller et al., 1999, 2002; Tilmes et al., 2003b). Consequently, mixing between air masses inside and outside the vortex should lead to points lying above the original ozone-tracer relation in the vortex (Fig. 1, top panel), as has been indeed observed in Arctic winter 2000 (Rex et al., 2002; Jost et al., 2002, see also Fig. 6). Therefore, mixing across the vortex edge, if it occurs during the period of chemical ozone loss, should lead to an ‘underestimation’ of ozone loss. This finding is in contrast to the conclusions of Plumb et al. (2000), who state that ‘estimates of ozone depletion inferred from ozone-tracer relations are likely to be overestimates’. We argue here that this different conclusion is reached by Plumb et al. (2000) because they assume the same tracer-tracer relation inside and outside the vortex and use a rather high diffusivity at the vortex edge in their conceptual model. Simulations with the Lagrangian model CLaMS (Konopka et al., 2004, 2005c3 ; Lemmen et al., 20054 ) indicate that if exchange across the transport barrier at the vortex edge occurs, it will lead to an increase of ozone mixing ratios in the vortex. Further, as air masses will mix approximately along isentropic surfaces crossing the vortex edge, mixing will have an increasingly smaller impact on the ozone tracer relation in the vortex, the lower down a mixing event occurs (Fig. 4). Indeed, Jost et al. (2002) report a case where mixing across the vortex edge occurred at ≈380 K in early March of Arctic winter 2000 that did not noticeably change the O3 /N2 O relation. Esler and Waugh (2002) proposed to construct an artificial reference tracer from a linear combination of several longlived tracers so that a linear relation of a chemically active www.atmos-chem-phys.org/acp/5/3139/ 3147 tracer with the artificial reference tracer would result. In this way, the impact of a mixing event of the type shown in Fig. 1, bottom panel, can be removed from the analysis since linear tracer-tracer relationships are unaffected by such mixing events. However, since inside- and outside-vortex air is characterised by different ozone-tracer relationships, the construction of an artificial reference tracer as suggested by Esler and Waugh (2002) (for estimating denitrification) would not help to eliminate the impact of mixing between inside- and outside-vortex air masses on ozone-tracer relations inside the polar vortex. Differential descent within the vortex with subsequent horizontal mixing results in mixing events of the type shown in Fig. 1, bottom panel. We have shown here that over the lifetime of the polar vortex this mechanism can only have a minor impact on ozone-tracer relations within the vortex (Fig. 5), corroborating conclusions based on measurements in winter 1999/2000 (Ray et al., 2002; Salawitch et al., 2002). In any event, if chemical ozone loss in the polar vortex occurs, it will reduce ozone mixing ratios in the vortex and thus it will alter the reference ozone-tracer relation. In winter 1996/97 (Fig. 7), the beginning ozone depletion is clearly noticeable as a moderate deviation of the ozone-tracer relation from the reference relation. In late March, after substantial ozone loss, a strong deviation from the reference relation is obvious. The ozone-tracer relation in March is ‘not’ compact because of a chemical reason, namely substantially different chemical ozone loss in different parts of the polar vortex (McKenna et al., 2002a; Tilmes et al., 2003b). In early May 1997, compact ozone-tracer relations were again observed in the remaining vortex, consistent with the view that mixing in the vortex had, by that time, homogenised the vortex air mass again. The chemical ozone loss deduced using the TRAC method has been compared with the results of other methods (Harris et al., 2002; Tilmes et al., 2004). The results deduced using tracer-tracer relations are in general agreement with those obtained by other methods; however, the very strong ozone loss deduced from SAOZ measurements for January in some winters (e.g., Goutail et al., 1999) cannot be identified with TRAC. 5 Conclusions Ozone-tracer relations have been used for more than a decade to quantify chemical ozone loss in the polar vortex. An issue neglected in the early studies is that it is necessary to assess the impact of mixing processes on tracer-tracer relationships in the polar vortex for a reliable quantification of ozone loss. Recently, also the question of the behaviour of ozone-tracer correlations in the results of model simulations has attracted interest. Analysing various sets of measurements and the results from several models we find here that mixing across the Atmos. Chem. Phys., 5, 3139–3151, 2005 3148 6 Ozone (ppm) Pre−Reference 4 2 0 6 Ozone (ppm) Reference 4 2 0 6 Ozone (ppm) Beginning Loss 4 2 0 6 Ozone (ppm) Established Loss 4 2 0 0 50 100 150 N2O (ppb) 200 250 Fig. 8. Schematic view of the development of ozone-tracer relations over the course of the winter inside the polar vortex. In all panels, the thick solid line indicates the reference relation for ‘early vortex’ conditions and the thick dashed line an average mid-latitude relation. The grey shaded area indicates schematically the variability of Fig. 8. Schematic view of the development of ozone-tracer the ozone-tracer relations within the vortex. The dotted relations line in the panelofshows the ozone-tracer relation the incipient beover the top course the winter inside the polarinvortex. In allvortex, panels, transport the barrier is established at the The the thick fore solida strong line indicates reference relation forvortex ‘earlyedge. vortex’ panel showsdashed the reference relation for an established vortex conditions andbelow the thick line an average mid-latitude relaand one panel below the ozone-tracer relation for beginning chemtion. The grey shaded area indicates schematically the variability of ical ozone loss. The bottom panel shows the conditions for estabthe ozone-tracer relations within the vortex. The dotted line in the lished ozone loss, the dash-dotted line indicates a possible mixing top panelline shows the ozone-tracer relation inair. the incipient vortex, bebetween vortex and out-of-vortex fore a strong transport barrier is established at the vortex edge. The panel below shows the reference relation for an established vortex and one further panel below the ozone-tracer relation for beginning vortex edge can only lead to an ‘underestimation’ of ozone chemicalloss ozone The panel shows conditions for Furesandloss. not to an bottom overestimation as hasthe been suggested. tablishedther, ozone loss, the dash-dotted line indicates a possible mixdifferential descent within the vortex and the subsequent ing line between vortex and air. impact on ozone loss internal mixing has out-of-vortex only a negligible estimates. Moreover, the representation of mixing in threedimensional atmospheric models can have a substantial imparticular importance is a realistic representation of transpact on the development of tracer relations in the model. Of port barriers (such as the polar vortex edge) in the model. particular importance is a realistic representation of transport Rather compact ozone-tracer develop —in agreebarriers (such as the polarrelations vortex edge) in the model. Rather ment with observations— in the vortex of a Lagrangian Atmos. Chem. Phys., 5, 3139–3151, 2005 Atmos. Chem. Phys., 0000, 0001–15, 2005 the deformation of the flow. Drawing together all pieces of information considered here, the following picture of the development of ozoneR. Müller et al.: Ozone/tracer relations in the polar vortex tracer relations in the polar vortex develops (Fig. 8): In the incipient vortex the vortex air mass is characterised by low compact ozone-tracer relations develop – in agreement with ozone mixing ratios; the result of polar ozone destruction observations – in the vortex of a Lagrangian model (CLaMS) due to NO chemical in the summer (e.g., of Farman, x driven where mixing is anisotropic and cycles driven by deformation 1985) and autumn (Kawa et al., 2002; Tilmes et al., 2005a). the flow. Although vortex air pieces mass ofisinformation separated considered to a certain exDrawing the together all the here,from the following picture emerges of air, the development tent ozone-rich, mid-latitude the vortex isofnot yet ozone-tracer isolated. relations inThus, the polar vortexmixing, developsozone (Fig. 8). completely through values in In the incipient vortex the vortex air mass is characterised by2003b, the vortex increase during this period (Tilmes et al., low ozone mixing ratios; the result of polar ozone destruction 2005b). When the vortex is well established, the transport due to NOx -driven chemical cycles in summer (e.g., Farman, barrier at autumn the vortex edge effectively separates the vortex air 1 ). 1985) and (Kawa et al., 2002; Tilmes et al., 2005a from mid-latitude air. Mixing within the vortex air mass is Although the vortex air mass is separated to a certain exproducing a compact ozone-tracer relation in the vortex. This tent from ozone-rich, mid-latitude air, the vortex is not yet completely Thus, through mixing,relation ozone values in TRAC is the pointisolated. in time when the reference for the the vortexshould increase duringbethis period (Tilmes et al., 2003b, method ideally derived. 2005b). the vortex is well chemical established,ozone the transport In coldWhen winters, a beginning loss becomes barrier at the vortex edge effectively separates the vortex air first noticeable at greater altitudes (≈500 K), typically in late from mid-latitude air. Mixing within the vortex air mass proJanuary/early in the Arctic (Tilmes al., is2003b). duces a compactFebruary ozone-tracer relation in the vortex.etThis Towards late winter, with solar illumination strongly increasthe point in time when the reference relation for the TRAC ing, the ozone loss is accelerating. Thus, in early spring, the method should ideally be derived. In cold winters, a beginning chemical ozone loss firstozonesignal of accumulated ozone loss is pronounced in the becomes noticeable altitudes K),such typically tracer relation (Fig.at8,greater bottom panel).(≈500 Under conditions, in late January/early February in is theclearly Arctic leading (Tilmes to et al., mixing across the vortex edge an under2003b). Towards late winter, with solar illumination strongly estimate of ozone loss. increasing, the ozone loss is accelerated. Thus, in early We conclude that for using ozone-tracer relations spring, there is a pronounced signal of accumulated ozone to deduce chemical ozone loss, it is crucial that a reliable loss in the ozone-tracer relation (Fig. 8, bottom panel). Un- ‘early vortex’ be obtained thatedge vortex measureder suchreference conditions,can mixing across theand vortex clearly leads toare an underestimate of ozone ments well separated fromloss. mid-latitude measurements. We conclude that when usingozone-tracer ozone-tracer relations to constitute deIf these conditions are met, relations chemical loss, it is crucialdetermination that a reliable ‘early aduce reliable toolozone for the quantitative of chemical vortex’ reference can be obtained and that vortex measureozone loss in the polar vortex. ments are well separated from mid-latitude measurements. If these conditions are met, ozone-tracer relations constitute Acknowledgements. thank D.determination Sankey, T. of S.chemical Shepherd, and a reliable tool for the We quantitative C. Lemmen for fruitful discussions and for helpful comments on ozone loss in the polar vortex. the paper. Further, we thank J. W. Elkins for the ACATS data, Acknowledgements. We thank D. Sankey, T. G. S. C. Shepherd, E. Richard for the ozone photometer data, Toon forand the MkIV C. Lemmen for fruitfulfor discussions anddata, for helpful on III and data, C. R. Webster the ALIAS and J.comments M. Russell the HALOE paper. 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