JOURNAL OF GEOPHYSICAL RESEARCH, VOL. 101, NO. D18, PAGES 23,475-23,489, OCTOBER 27, 1996 Variability in the mesosphere observedby the Nimbus6 pressure modulator radiometer BryanN. Lawrence • SpaceSciences Division,Rutherford Appleton Laboratory, Didcot,England, U.K. Department of Physics, University of Oxford,Oxford,England,U.K. William J. Randel National Center forAtmospheric Research, Bouide;, Colorado Abstract. The pressuremodulator radiometer flew aboard Nimbus 6, collecting radiance data from June 1975 until June 1978. These data have been processedto yield daily temperatures,geopotentialheights, and balance wind estimatesfrom the stratosphereand mesosphere (30-85 km) for the entire period. We usethesedata to examine the variability of both the zonal-mean and the nonzonal disturbances present in the data. In terms of the zonal-mean, we show that the COSPAR International ReferenceAtmosphere(1986), developedfrom these data, can be misleadingin the mesospheredue to the underlying interannual variability and the mergingwith other data sets. Daily variability of the zonal-meanflow is examined, and these data show strong evidence of coupling between the stratosphere and mesospherefor suchvariations. We also find evidencefor significantcoupling of wave-like events in the stratosphere and the mesospherebut that not all such disturbancesseen in the mesosphereare due to simple propagation from below. Space-timespectral analysisis used to searchfor traveling planetary waves: Results show a weak 5-day normal mode present in the equinox seasons,which appears to correspondto the first symmetric mode predicted by theory. These data also show clear evidenceof the 4-day wave in all three southern winters examined and are consistentwith the hypothesisthat this mode grows due to instability of the background zonal flow. the stratosphere (LIMS) andthe stratosphere andmesospheresounder(SAMS) instrumentsaboardNimbus7; and the ultraviolet spectrometeraboardthe Solar MesoSince the advent of satellite instrumentation for resphericExplorer(SME). Of theseinstruments, onlythe mote soundingof the middle atmosphere, there have P MR providedglobaldaily coverageof the mesosphere 1. Introduction been many generations of instruments and retrieval during all seasons. techniques. In the stratosphere, data acquisition has The data from the P MR provide an excellent conproceededfrom scientificexperimentation(for exam- ple, the early selectivechopperradiometer (SCR) instrumentsaboard Nimbus 3 and later satellites)to the productionof standardmeteorological data (for example, the stratospheric soundingunit (SSU) instruments aboard the NOAA seriesof satellites). However, prior to the Upper AtmosphereResearchSatellite (UARS) the mesospherehas only been sampled extensively by four instruments: the pressure modulator radiometer (PMR) aboard Nimbus6, the limb infrared monitor of text for interpretingmeasurements from the U ARS in terms of the typical structure and variability of the mesosphere.Although the instrumentflew nearly 20 yearsago,the datahavenot yet beenfully analyzed.In this study, we review the typical zonal-meantemperature structure of the mesosphereand highlight some aspectsof mesospheric interannualvariability by contrastingit with the COSPAR InternationalReference At- mosphere (1986)(CIRA86)[Fleminget al., 1990]climatology[Barnettand Corney,1985]. We then examine the temporalvariabilityof both the zonal-meanand the in thesedataø •Department of Physics andAstronomy, University of Canterbury, eddy components Beforeproceeding, it is importantto recalltitat the Christchurch,New Zealand. Nimbus 6 PMR was a nadir instrument with very deep Copyright 1996bythe3anerican Geophysical Union. Papernumber96JD01652. 0148-0227/96/96JD-01652509.00 verticalweightingfunctions[Curti• et al., 1973;Labitzke and Barnett,1981]. The effectof suchbroadweighting functionsis both to selectonly phenomena with 23,475 23,476 LAWRENCEAND RANDEL: OBSERVEDMESOSPHERICVARIABILITY largeverticalscalesandto underestimate the amplitude tential field. The normal procedureto follow would of any perturbationsassociated with suchphenomena, be to take boundary fields from a suitable meteorologparticularly in the upper mesosphere.Becausethe raw ical analysisor those derivedfrom another instrument. data collected were radiance, the further retrieval of temperature generally introduced yet more smoothing of the real atmosphericperturbationsvia the introduction of the retrieval climatology. However, for the PMR data, this was not possible, as contemporaneousglobal lower stratospheric analyseswere not available. Accordingly,where we present time seriesof geopotentialdata, we havesimplystacked Early analysesof thesedata focusedon temperature the data upon a monthly mean 50-hPa field from a 12retrievalsof monthly meansand a limited set of dayse year (1979-1990)climatologyof National Meteorologianalyses [Randel,1992]. These monthly mean data provided the basisfor the cal Center(NMC) stratospheric In addition, we were able to produce zonal-mean mesospheric sectionof the CIRA86 climatologyand of the extendeddiagnostics of Marks [1989]. (Actually, zonal winds using the gradient wind approximation. for the heightswe are interestedin, CIRA86 is based This approximation provides winds which are in excelon an earlier climatology,that of Barnett and Corney lent agreementwith observationsthroughoutthe strato[1985],whocombined PMR datawith SCRdata.) Sub- sphere. In the mesosphere,the gradient wind approxsequently,the entire PMR data set (from mid-June imation is probably still a good measureof the zonal1975 until the middle of June 1978) has been rere- mean zonal wind in the extratropics but not in the troptrieved by Clive Rodgers(Oxford University) to pro- ics. The tropical winds shown are simple interpolations vide daily along-trackprofilesof temperaturesthrough- between 15 øN and 15øS. out the stratosphereand mesosphere. These profiles State have been griddedby John Gille and Dan Packmanat 2. The Mean the National Center for Atmospheric Researchusing a Kalman filter algorithm to provide daily estimates of zonal-mean and zonal waves 1-6 on a 4ø latitude grid over 80øS to 80øN. The true vertical resolution of the In this section, we review three aspectsof the zonalmean view of the mesosphere. We first examine the interannual variability of the January monthly mean temperature fields in order to highlight the differences obscuredby the averaging processinherent in making a climatology. Second, we show that when individual years are examined, the separated stratopause is more prominent in the northern hemispherethan hitherto suggested.Finally we show the seasonalevolution rection for nonlocalthermodynamicequilibrium(non- of the zonal wind, partly in order to show the backLTE), there are now somequestionsas to whether the ground upon which we seelarge wave eventsand partly influence of non-LTE on temperature retrievals is as to demonstrate typical examples of evolution for later great as was expected at the time of calculation. This comparisonwith middle atmospheremodels. means that at some of the higher altitudes where the 2.1. Zonal-Mean Temperatures assumptionmay have been in error, the mean temperMonthly mean zonal-mean temperature sectionsfrom atures may have been underestimated especially near the coldsummermesopause (C. Rodgers,personalcom- the three individual PMR years for January are dismunication, 1995). It should also be noted that due played along with the resulting CIRA86 temperatures to the configuration of the weighting functions, there in Figure 1. It is worth restating here that the very cold is no real height discrimination in the lower and mid- summer mesopauseis probably exaggerated in these dle stratosphere. However, the temperature thickness data (the individual years,and the climatology),since of this region is well captured by the lower weighting all the retrievals assumednon-LTE in the upper mesofunctions. sphere. The main features of the typical temperature Although the instrument collected data for the en- structures shown herearedescribed elsewhere [e.g.,Antire period from June 1975 until June 1978, there was drewset al., 1987]. Althoughit is not obviousfrom a period of about 9 months (from October 1975 un- these figures,differencesfrom the CIRA86 climatology til July 1976) when the top soundingchannelwas not demonstratethat for January, the CIRA86 atmosphere scanning correctly, leading to poor height discrimina- underestimates the northern hemisphere(NH) midlattion (J. Barnett, personalcommunication,1995). Ac- itude temperatures in the region 60-80 km by 5-10 K cordingly, some of the data from this period probably in all years• By contrast, in the tropics, the lower refurther underestimatethe true variability in the data, gions(50-60km) are overestimated by CIRA86 and the and we focus away from this time period for detailed region 60-80 km underestimated, in both casesby 5retrievals is probably in excessof 15 km, although they have been oversampledto provide a vertical grid at 3.5km intervals. The resulting data are the subject of this study. Above 80 km, our results shouldbe assessed with caution, since although the data was retrieved with a cor- studies. 10 K. Examination of the differences for other months Geopotential fields have been calculated from the and years suggeststhat the differencescan be up to PMR temperatures using the hydrostatic equation to 10ø of either sign and are not simply due to interannual stack temperature thicknesseson a boundary geopo- variability, but probably rather that the CIRA86 cli- LAWRENCE AND RANDEL: OBSERVED MESOSPHERIC VARIABILITY Zonal Mean Temp Jan 76 80 Zonal Mean Temp .01 80 .,o• '•ø •-•o 23,477 Jan 77 • • .01 •_ •o 60S 30S 0 30N 60N 60S 30S Lafifude 0 30N 60N Lafifude Zonal Mean Temp Jan 78 ,• 60 CIRA January climatology .•0• • 60 .•0• ,7o .••,• • ..Q •70 • [ • •o • 605 5OS 0 50N 60N •o 605 Lafifude 50S 0 50N 60N Lafifude Figure 1. Zonal-mean monthlymeanJanuarytemperaturefrom the 3 pressuremodulator radiometer(PMR) yearsand the Barnett and Corney[1985]climatology. 2.2. The Separated matologyis lesssensitiveto verticalgradientsthan the Stratopause reretrieved PMR data. This conclusionis supported by comparisonsbetween CIRA86 and other climatologies The presenceof a warm stratopausein the polar night [e.g.,ClancyandRusch,1989;Clancyet al., 1994]and is of interest sinceit must be of dynamicalorigin (in must be due to either the poorer temperature retrievals the polar night, there can be no solar heating to proused originally or the inadequaciesin the merging and duce a stratopause). The separated stratopause was averagingprocedureusedto createthe CIRA86 clima- first describedby Kanzawa[1989]using CIRA climatologicaldata and examinedmore closelyby Hitchman tology. 80 N Zona Mean Temp 80 S Zonal Mean Temp BO 7O • 60 • so 40 .Ol 70 30 1975 1976 1977 1978 Figure 2. Zonal-meantemperatureat 80øN (tipper panel) and 80øS (lower panel) for the duration of the PMR data collection. 23,478 LAWRENCE AND RANDEL: OBSERVEDMESOSPHERICVARIABILITY et al. [1989],whopointout the salientfeatures.Both hibits intense winter variations. It can be seen that in papersstate that it is a muchstrongerfeaturein the February 1977, the region of elevatedtemperaturesin southernhemisphere.However,examinationof the individual yearsleadsone to concludethat on occasion it can be a very pronouncedfeature in the northern hemisphereas well. If we comparethe Januarymeansfor the three individual years (Figure 1), we can seethat there is a the NH was much higher and strongerthan the other yearsøIn the climatology,it can be seenthat the averagingprocesshashighlightedthe southernseparated stratopausedue to the interannualrepeatability,in contrast with the north, where the averagingof the interannual variability has hidden the occasionallyintense significantamountof variability:January1976shows feature. a polar stratopause at least10 K warmerthan midlati- 2.3. The Zonal-Mean Zonal Wind tudes,and January1978showsa weakerbut similarpoWe begin by showingthe seasonalevolutionof the lar maximum. January1977is very differentfromthese otheryears,exhibitingpolar temperatures muchcolder zonal wind at 1, 0.1, and 0.01 hPa as a functionof latthan midlatitudes and a weak, low stratopause. For itude (Figure 3). At 1 hPa, the contrastbetweenthe the corresponding monthsin the southernhemisphere, three different northern hemispherewinters is apparent; the separatedstratopauseis very prominenteachyearø eachyearhasdifferenttiming and positionof winterjet The CIRA86 climatologyshowsa somewhatstronger feature, probably due to the fact that the separated stratopauseoccurspreciselywherethe SCR and PMR data setsare mergedin the climatology(it shouldbe recalledthat the SCR data are from differentyears). Figure2 showsaltitude-timesections of the temperatures at 80øN and 80øS illustrating evolution of the polar stratopause. A repeatableannual cycleis seen in the southernhemisphere(SH), whereasthe NH ex- .01 mb Zonal 30N maxima, which is evidenceof quite differentwinter vortex structure. The relatively regular seasonalmarch in the southern hemisphereis also clear. A comparison from one year to the next of the distanceof penetration of the southernhemispheresummereasterliesinto the northernhemisphereseemsto imply high repeata- bility. At 0.1hPaandabove,the difference between the northernwintersis evenmore apparent,with markedly differentjet structures fromoneyearto the next. In the Mean Wind 81 km • .1 mb 1 mb Zonal Mean Wind 65 km Zonel Meen 48 Wind km •i•u•e 3. •o•l-me• •o•] wi•d o•e• the P•E period •t (top to bottom) O.O1,O.1, and 1 hP•. •stefiies •e lightly shaded,•d the d•k sh•di• de•otes•e•io•s where the •die•t of qu•si-•eost•ophicpotential •o•QciW is st•o•l• •e•ti•e (seetext). LAWRENCE AND RANDEL: OBSERVED MESOSPHERIC VARIABILITY 23,479 south,the mesaspheric windregimeis not sorepeatable in January of eachyear of the Nimbus 6 period are disbetween yearsasit is in the stratosphere. Althoughthe playedin Figure 4. For comparison,the winds derived balanceassumptionusedto derive the wind at 80 km from CIRA86 using the same computational domain is probablyquite poorin the tropics,onecan seethat and schemeare also displayed. The major features in in the extratropicsthe mean flow is characterizedby January are the summermesasphericjet, the subtropical summer stratasphericjet, the winter mesaspheric much smaller scalesand more rapid variation. There is clearlyconsiderably moreinterannualvariabilitythan jet, and the stratasphericpolar night jet. The evolulowerdown,althoughthe strengthof the circulationas tion of these features is well characterized in the preindicatedby the jet maximais fairly consistentin the vious time series. These figuresallow one to conclude that the main structures are relatively repeatable from summer regions. Figure 3 also includesheavy shadingindicatingre- one year to the next, but the strengthand positionof gionswhere the quasi-geostrophic potential vorticity both the winter mesasphericjet and the strataspheric gradient (•y)issignificantly negative (•y_•-1.5x 10-• polar night jet vary accordingto the dynamicsof the m-• s-1), potentiallyindicativeof dynamicinstability winter in question(in particular, due to the timing and of the zonal-mean flow[Andrews et al., 1987].Regions strength of any stratasphericwarmings). The situation of persistent negative • arefoundin the SH winter in the southern winter August is similar to that of the northern January, as can be seen in Figure 5, which mesasphere on the polewardsideof the subtropicaljet (near50øS)and alsoat highlatitudesthroughout the displayssectionsfor the three Augusts(and that of the stratosphereand mesasphere. Theseregionsare associ- CIRA86 climatology). It is apparent from these secated with the appearanceof the 4-day waveoverpolar tions that the summer mesasphericjet is much weaker latitudes in SH winter, as discussed in more detail be- in the NH than in the SH and also that the SH subtrop- low.A second regionof persistent negative • is found ical mesasphericwesterlyjet is more narrow and intense in the summermesasphere at high altitudes (near 65 than the NH counterpart. There is lessinterannual vari- km) onthepoleward sideoftheeasterly jet, particularly ability in the SH strataspheric polar night jet than in the NH, so that the climatology is closerto individual i• •h• N•. •t• [•OSS] •d m•o• [•01 h•ve•lyzed instabilitiesof jet structuressimilar to thosefound in years. However, the patch of easterliesin August 1975 this region,findingstronggrowthrates. Nonetheless, at high southern latitudes and high altitudes is a saluwe do not find evidence of transient waves in the sum- tary reminder that there is still considerablevariability mer mesaspherein the PMR data, possiblybecauseof in the SH (seealsoFigure 6). One can alsoseethat the the low vertical resolution. CIRA86 climatology(which in the mesasphereis solely Latitude-heightsections of the zonal-meanzonalwind due to an averageof the 3 yearsof the PMR data), has Zonal Mean Wind Jan Zonal 76 8O .01 0 30N .•.. Mean 60 •- 4o 3o 60S 60N 30S 0 30N 60N Latitude Wind Jan 78 CIRA January climatology .• .Ol80 80 77 .Ol Latitude Zonal Jan 70 .•o"-'E••.. lO 30S Wind 80 _o 60S Mean .Ol .10 •... •.. 60 •_ lO 60S 30S 0 30N 30 lO 60N Latitude Figure4. Zonal-mean monthly meanJanuary zonalwindfromthe3 PMRyearsandtheBarnett and Carney[1985]climatology. 23,480 LAWRENCE AND RANDEL' Zonal Mean Wind 60S 3OS 0 OBSERVED Aug 75 3ON 60N MESOSPHERIC VARIABILITY Zonal Mean Wind Aug 76 60S SOS Latitude Zonal Mean Wind Aug 77 10 SOS 0 3ON 60N CIRA August climatology .Ol 60S 0 Latitude ,.30N 80 .Ol 30 60N Latitude Figure 5. Zonal-meanmonthly-meanAugustzonalwind from the three PMR yearsand the Barnett and Corney[1985]climatology. introduced spuriousstructuresin the mesosphere(such [e.g., Labitzkeand Barnett, 1981;Hirota and Barnett, as the westerly jet peak found at about 20øN and 60 1977;HassandEbel,1986].Herewe concentrate on the km). Such artifacts can also be found in other months. variability occurringon faster than seasonaltimescales in temperature, wind, and derived quantities associated with planetary waves. 3. Daily Variability The broad scopeof variability over the period is well Previous workers have looked at the planetary wave characterized by the root-mean-squaredeviation from structure in the mesosphereobservedby the PMR in- the zonal-mean, and for an overview, we display this strument by concentrating on the raw radiance data for the geopotentialheight of two pressurelevels,3 hPa .05 mb RMS Geopofential waves 69 km 30N •_ 0 30S 3 mb RMS Geopofenfial waves 41 km ""i;':i'?"!?, 30N . ,,,/,..,, ,-,, 1975 ,.,?,,,.,, ,.,,, '..... 1976 ..",.-, .-''-2 1977 1978 Figure 6. Latitude-time sectionsof the rms geopotentialheight around the zonal-meanat 3 hPa (-• 41 km) and 0.05 hPa (-• 69 km). Contourinterval(solidlines)is 300 m, with values:•bove 600 m hatched. The dashed line is the 150-m contourø LAWRENCE AND RANDEL: Geopotential variance OBSERVED MESOSPHERIC VARIABILITY 23,481 each season. Such wave growth events are well corre- 50-70N lated with the zonal wind decelerations 8,3 km 76 _ 69 62 _ 55 48 _ 41 35 i S 0 N D J F M km i A over 30-65 km seenin Figure 3 (this correlationis lessevidentfor the 0.01 hPa windsin Figure 3). At first inspection,many of the individual pulsesin Figure 6 are approximatelycorrelated betweenthe 41 and 69 km levels,although the detailed evolution is clearly different at each altitude. To examine vertical correlationin more detail, Figure 7 showstime variation of geopotentialwave variancenear 60øN during NH winter 1976-1977, at eight altitude levels spanning35-83 km (eachlevel is approximatelyone scaleheight, 7 km, apart)ø For most of the eventsin Figure 7, wave variance maxima are observed at all levels throughout the stratosphere and mesosphere,demonstrating that these transient events span the entire mid- 1976--77 Figure 7. Time variationof rms geopotentialheight dle atmosphere(•- 30-90 km). One notableexceptionis amplitudeover50ø-70øNat eightaltitudelevels(separated by approximatelyonescaleheight)duringnorth- the wave event near the middle of January in Figure 7, (above ern hemispherewinter 1976-1977. Amplitudes at each whichreacheslargeamplitudein the mesosphere 50 km) but not in the stratosphere. The spatial patterns of the zonal-mean temperature and wind changesduring these eventsshowstrong cou(•-41 km) and 0.05 hPa (•-69 km), representative of the pling between the stratosphere and mesosphere,as is upper stratosphereand middle mesospherein Figure 6. expected during periods of massivepolar vortex disrupMuch of the variability in the mesosphereis of strato- tion. Figure 8 showsthe temperature and wind changes spheric origin, and we begin below by assessingthe associated with the beginning of the major warming importance of direct dynamic coupling between the during late December 1976. The temperature change stratosphereand the mesosphere.In addition, a signifi- betweenthe December 24, 1976, and January 1, 1977, cant contribution to mesosphericvariability comesfrom exhibits a clean quadrapolepattern, with high-latitude within' Two well-knownexamples(the 4-day wave and warminF and tropical cooling in the stratosphere and normal mode oscillations)are examined in detail be- reversed patterns in the mesosphere. Such temperaiow. However, much o• the var]abd]ty seen in r•gure ture patten•s have been shownpreviously[e.g., Fritz 6 is probably ultimately due to the affect of breaking and Soules•1970;Labitzke,1972;Gille et al., 1983]and level have been normalized to unit variance. gravity waves[e.g., Smith, 1996]whichwe cannotexamine here. 3.1. Stratosphere-Mesosphere The zonal wind changesin Figure 8 show deceleration of the winter hemispherejet from the middle strato- Coupling As seen in Figure 6 large-amplitude, episodicwavelike eventsare observedin eachwinter hemisphere,with typically three to six individual events,or "pulses,"seen Dec 24-Jan 80 ,-, 70 are in good agreement with theoretical expectations for winterhemisphere planetarywaveevents[Garcia,1987]. 1 sphereto the middle mesosphere(over 30-70 kin, in accordwith the subjectiveimpressiondescribedabove) andeasterlyaccelerations in the tropics(in balancewith TBAR difference ' ,'/"'•, '' "- Dec 24-Jan - ' '• ......," '-•i , •,'"E 60 g •_ .01 •, ,,,,,,• ,,,,,,. .-•.10 • :.:,, ,,,' " /,' -;J , , '-•.-•,;', ,,'.:-:.;:q • '• "........... -'•.,..-..'..-..•.•.'..'" '-:';'.• ,,. ,......., / ,,,1• ',, ,, : , , , 605 305 0 Lafifude 30N •' 60N • UBAR difference • • •• IIIi'1 80 - •'•I"'•'"/;•• 60 _ ,". i., ', Ill _• ,,', ,, ,,',ill ,', ,'.'.: ,''/ "', ] 10•'E , .....: ,, , -.'., \'.. 1 ,. "! ,', ,' - •_ .... - 60S , ,, - •,',, ,,' 305 0 , ql •1.01 ,' ;;,',,, ',,' ',111,-I , ' ' ,, • ', • '. ',, IIIII -I ,-,.' ,I•L./ 1 , ''"," .... ',,,,,• , .-, , , •-' ,.: , .,,, 30N ' I•. J 60N Lafifude Figure 8. Changesin the zonal-meanstate betweenDecember24, 1976, and January l, 1977: zonal-meantemperaturedifferences (left panel) and zonal-meanwind differences (right panel). 23,482 LAWRENCE Augusf 6-14 ,• 8O , ! , AND RANDEL: OBSERVED TBAR difference , , i , , i UBAR , difference , tl .01 • 70 " • ,'",'•', 60 ',,'.. ._-... ),, ',, .---:•_• VARIABILITY August 6-14 , .... . -3. MESOSPHERIC ', 8O --', ,, ', .01 7O .10 - 50 40 ,-'- 30 f, ,•• 60S ,',' '"" " 30S 0 30N 60N lO 30 60S 10 30S Lotitude 0 30N 60N Lotitude Figure 9. Changesin the zonal-meanstate betweenAugust 6 and 14, 1976' zonal-meantemperature differences(left panel) and zonal-meanwind differences(right panel). the tropical temperaturechanges).Figure 9 showssim- are governedby the resonantpropertiesof the atmoilar diagramsfor a waveeventduringSH winter (Au- sphere,rather than by the details of any forcingmechagust 6-15, 1976). The patternsof temperatureand wind nisms. The fundamental signaturesof these modes are changesare similarto the NH example(Figure8), but planetary-scalehorizontal structures,regular westward with typiare somewhatweakerin amplitude(consistentwith the propagationat (nearly) discretefrequencies weaker-amplitudeplanetary wavesobservedin the SH; cal periods of 5-20 days, and small vertical phase tilts seebelow). (Examinationof time seriesand otheryears with height.(seethe reviewby Madden[1979]).Numerof data showsthat the NH high-latitude temperature ous studies have identified normal-mode structures in changesin Figure 9 are related to the seasonalcycle stratospheric data derived from satellite measurements [e.g.,Rodgers,1976;Hirota and Hirooka,1984;Hirooka rather than to planetary-wave-induced transience.) In the NH upper stratosphere,large-amplitudewave and Hirota, 1985, 1989; Prata, 1989; Venne, 1989; Rantransience is usually associated with massive distur- del,1993a].Typically,identification asnormalmodesin bancesof the polar vortex as anticyclonicvorticesform these studies is based both on enhanced spectral power in the upper stratosphere which are associated with wave 1 Temp cohsq 32 S-52 N stratosphericwarmings of various strengths. Analysis of the pulsesseenin Figure 7 showsthat each of them is associatedwith strong vortex disturbancesand consequentlymost of the variance is concentratedin zonal wave numbers 1 and 2. The large pulse at the end of December is associatedwith the beginning of the major midwinter warming and the destructionof the lower stratosphericvortex describedby Labitzke and Barnett 7/77ß' -- _ - [1981]and Labitzkeet al. [1993]. During the period while there was no lower stratosphericpolar vortex, the mesospherestill maintained a strong vortex, probably due to the strongradiative coolingthere. Followingthis period, it appearsthat air brought polewardbecameas- sociatedwith a mesospheric high (similar to Figure 17 of Dunkertonand Delisi [1985]). This latter episode, which didn't involve simplewave propagationfrom below, resulted in the pulse-like event seen only in the mesospherein Figure 7. 3.2. Normal Modes 7/75 2 3 4 5 wesTword l0 l0 5 4 3 2 eosTword Period (days) Figure 10. Coherencesquared spectra between 32øN and 32øS for zonal wave 1 temperature fluctuations at 0.1 hPa (-• 65 km) throughoutthe PMR record. Spec- Normal-mode Rossby waves are westward propagat- tra are calculatedfrom overlapping60-day time series. ing planetary waveswhich are the free or resonant os- Note the coherencemaxima for 5- to 10-day westward cillations of the atmosphere. Their basic characteristics traveling wavesnear March and October of eachyear. LAWRENCE AND RANDEL' OBSERVED MESOSPHERIC VARIABILITY Sepf-Oct 60N- 6ON- 3ON SON- 1977 23,483 k-1 Temp .01 mb Ee- EQ- 30S- 30S- 60S- 60S- I I I I I I I I I I II I I I I II • I II I I I I I [I I I I I I Itlll I 2 3 4 5 westword 10 IIIIIII111111111111 I I I I 10 5 4 3 II111 i 2 eosfword Period (days) Figure 11. Latitude-frequency spectrafor zonalwave1 temperature fluctuations at 0.01hPa (• 81 km) duringOctober1977.Left panelshowspowerspectra(contours arearbitrary;dashedline is one half lowestlevel), and right panel showscoherencesquaredat eachlatitude with respect to 32øS, and global coherencefor westwardpropagating plane- coherence. The combination of enhanced power and for discrete(westward)frequency tary wavesnear the appropriatenormal-modefrequen- near-globalcoherence cies and on horizontal and vertical structures consistent bands is strong evidenceof normal-modeoscillations. with theoretical predictions(calculatedstructuresare The spectral power density for these wavesis generally givenby Kasahara[1980],Schoeberl and Clark [1980], a small fractionof the total (i.e., the wavesare usually and Salby[1981]). We followthis methodby search- of small amplitude, althoughperiodsof large amplitude (seenin Figures11 and ing for normal-modesignaturesin power and coherence do occur). The globalcoherence spectraand then examiningthe spatial structure of the 12) is often a more sensitivediagnosticfor the presence modes during periods of large wave amplitude. Our of normal modes than the occurrenceof peaks in power focus is on mesosphericwaves and zonal wave number spectra alone. The structure of the dominant mode during Septem1 features (higher wave numbersdo not exhibit clear evidence as that seen for wave 1, possibly due to the ber-October1977 (the time period of Fig 11) is shown in more detail in Figure 13. Here the amplitude and vertical resolution). The occurrenceof global normal modes in the meso- phase of the westward 5- to 10-day-period wavesseenin sphere throughout the PMR record is investigated in geopotentialheight amplitude and phaseare displayed time seriesfrom windowedspecFigure 10, which showsthe coherencesquared between (we haveresynthesised 32øN and 32øSfor zonal wave 1 temperature at 0.1 hPa, tral coefficientsand then averagedin time over several constructed from overlapping 60-day spectra through- weeksof largewaveamplitude). The amplitudeexhibits out the record. Figure 10 showsoccurrenceof coher- broad maxima over midlatitudes of both hemispheres, ent global westwardpropagating wavesnear eachMarch with nearly in-phase (symmetric) horizontal structure and October(equinoxseasons), with periodsin the 5- to between the NH and SH and weak westward phase tilts 10-day range. The appearanceeach March and October with height. Figure 13 also shows the temperature of the coherencemaxima in Figure 10 is quite striking, structure for this spectral band, showing in-phase latshowing that such modes are a regular feature of the itudinal structure and vertically out-of-phase tempermesosphere. ature maxima near the stratopause(• 50 km) and in Two individual periods are shownin more detail: Oc- the middle-upper mesosphere.The in-phaselatitudinal tober 1977 at 0.01 hPa (Figure 11) and March-April structure seenin Figure JL3is a characteristicobserved 1976 at 0.1 hPa (Figure 12). Both power spectraand of each of the equinox coherencemaxima identified in coherencesquared are shown for temperature fluctua- Figure 10. The amplitude peaks are roughly colocated tions and geopotential fluctuations, respectively. Clear with the background zonal jet maxima, as can be seen spectral peaks are visible in both hemispheresfor both in Fig 14, where we have superimposedthe geopotencases;both the 5- to 10-day periodicity in October and tial maxima from Figure 13 as bold lines upon the zonal the 5-day periodicity in March-April show near global wind fields. The slight NH-SH asymmetry is mirrored in 23,484 LAWRENCE AND RANDEL' OBSERVED MESOSPHERIC VARIABILITY Mar-Apr 1976 k-1 Geop .05 mb Mar-Apr 6ON- 6ON- 5ON 3ON- 2 EQ- k-1 Geop .05 mb EQ- 30S- 30S 60S- 60S ililil;llllllll,il;llllil,llil I 2 Period (days) 1976 I I I I 3 4 5 westward 10 i,illlliillliilll,Jillllll,il I 10 I i 5 4 3 eastward I I 2 Period (days) Figure 12. Latitude-frequency sections of powerandcoherence squared(withrespectto 32øN) for zonalwave 1 geopotentialfluctuationsat 0.05 hPa (,.• 69 km) duringMarch-April 1976. both the zonal wind and wave amplitude structure. It is day wave. Power spectraover polar latitudes are conlikely that occurrenceof similar symmetricbackground structedfrom overlapping60-day time seriesand plotwinds is associatedwith the presenceof normal-mode ted versustime (Figure 15). In addition to the low- oscillationseachequinoxseason(seenin Figure10). frequencymaximsin the respectivewinter seasons and 3.3. 4-Day Wave near-zero wave v•riance in summer, the 72øS spectra show spectral maxima correspondingto an eastward A zonal wave number I feature, with a period near 4 days, was first observedin SCR temperature data by Venneand Stanford[1979]. Further analysisby those authors and others has shown that the wave is almost an ubiquitous feature of the winter polar stratosphere and that it occurs in the winter of both hemispheres, although the signal is usually stronger in the south. Prata [1984]and Lait and Stanford[1988]showedthat travelingwavewith a periodnear 4 daysduringSH midwinter in 1976and 1977 (early SH winter 1977alsoexhibits eastwardpropagatingvarianceat slightlylonger periodsof 5-10 days). The NH spectrain Figure 15 do not exhibit similar strongpeaks near the 4-day period, although weak 4- to 5-day maxima are observednear November of each year. The structure of the wave is demonstratedby highlighting the SH event of August-September 1977. Fig- the wave is associatedwith higher zonal wave number disturbanceswhich are phase-lockedto the wave 1 ure 16 shows meridional cross sections of variables charcomponent. They also showedthat the resultant wave acterizingthe event averagedover September1-7, 1977. structure is associatedwith warm pools of air rotating The 4-day wave signature is extracted from the data around the polar vortex. The vertical extent of these by resynthesisof the space-timeharmonic coefficients, waveswasdemonstrated by Lawrenceet al. [1995],who retaining only componentscorrespondingto eastward showedevidencefor their penetration up to 90 km by traveling waveswith periods near 4 days. Eddy wind examiningradar wind data from Scott Base (79øS)o coefficientsare then calculatedusing balancewind as(EP) flux divergence Theoretical analyses of the mean flow in the winter sumptions,andthe Eliasssen-Palm polar middleatmosphere[Hartmann,1983;Randeland is calculatedneglectingthe vertical velocity term. The Lait, 1991;ManneyandRandel,1993]alongwith obser- EP flux divergenceshowsa north-south dipole pattern vations[Manney,1991]havedemonstrated that insta- which is mostly attributable to the horizontal EP flux bility mechanismsin the upper stratosphereand meso- component(proportionalto the momentumflux, which sphereprovide a plausible explanation for the develop- is equatorward). Figure 16 also shows the zonal wind for this time ment of the 4-day wave. The 4-day wave has been observedin P MR data be- period, with shaded regions denoting negative quasi- fore [Prata,1984];[,erewe concentrate on the structure geostrophic potentialvorticitygradients (•y < 0). The and v•riability of the 4-day wave observedin the PMR zonal wind structureis dominatedby a strongjet in the data. We begin by using space-timespectral analysis SH subtropicalmesosphere,apparently decoupledfrom to demonstratethe occurrenceand strength of the 4- the upward extensionof the high-latitude stratospheric LAWRENCE AND RANDEL: OBSERVED MESaSPHERIC VARIABILITY wave 1 Geop 5-10 • t,xg• .... days west •'/ , wave 1 Geop 5-10 v/\it ,,,,.,,,._, .... ? • 40 • 10 30S 0 30N 40 lO 30 ) 60N i i 60S i i days west i i wave 1 i [, i i 30N 80 "', •' •, 70 so g r> 50 •: 40 Temp 5-10 , ]i, , i , , i ' 01 80 •. i 0 i 60N Latitude 5-10 , [,,ii i 30S Latitude wave 1 Temp .Ol •• • i 60S ,,, , .," •o•••o 30 days west ,, -. ,.. .... •o 23,485 • "', 70 • 60 ,, days west i i ' '! ] ,•J] • ]: ..... 'Z ..... ,,' / / 1 .01 ..• ..----.' '-9• .10• ,• ..50 40 t , 50 I , i i 60S t t 30S i I 0 Latitude •o •o •, • I /• •• •o I 30N 60N riOS 30S I 0 30N B0N katitude Figure 13. Meridionalcrosssections of geopotential (upperpanels)and temperature(lower panels)amplitudeand phasefor westwardtravelingzonal wave 1 with 5- to 10-dayperiods during October 1977. The phasesare calculatetlwith respectto the mean altitude maxima as markedo polar night jet (compare with the monthly averaged negative •y, whicharein turn relatedto opposing mean structure shown in Figure 15). The resulting "double flow changesat 32øS and 56øS. The zonal winds at 56øS jet" structure has marked curvature and strongly neg- exhibit decelerationsjust prior to growth of the 4-day ative potential vorticity (PV) gradientsover 415ø-60øS wave, while the jet near 32ø intensifies. These changes throughout the mesosphereo stronglyincreasethe horizontalwind shears(and curFigure 17 showstime seriesof 4-day wave geopoten- vature), resulting in the strongly negative PV gradient tial amplitude and EP flux divergenceat 60øS, 0.2 hPa near 56øS occurringjust prior to wave growth. during 1977o These time seriesshow severalepisodesof The temporal coincidence of wave growth with apwave growth and decay throughout the SH winter, with pearanceof negativePV gradients(Figure 17) strongly a large event in early September(the time period sam- suggestsinstability of the mesosphericjet structure as pled in Figure 16). Also shownin Figure 17 is evolution the cause of the 4-day wave. The source of the wave of the 0.1-hPa zonal wind at 32øS and 156øS,together from instability is also suggestedby the spatial coinciwith the 0.1-hPa potential vorticity (PV) gradient at denceof negativePV gradient and positiveEP flux di156øS. The wave and mean flow time seriesin Figure 17 vergenceseenin Figure 16 (near 50ø-60øS,throughout show clear temporal coupling: the wave growth events the mesosphere).The spatial and temporal coincidence (as seenin the EP-fiux divergence) are coincidentwith of these quantitiescan be a signatureof an internal 23,486 LAWRENCE AND RANDEL: OBSERVED MESOSPHERIC VARIABILITY Sept-Oct well describedby Clancyet al. [1994]. In their work, 1977 Zonal wind they describedifferencesof 5-20 K between the SME and the CIRA data in the lower mesosphere,with the SME being warmer. These results are consistentwith .Ol ours (i.e., the newerPMR temperatureretrievalsbeing warmer) for somelatitudes and years;however,differencesof both signswere found, highlighting the difficulty of comparingdata with different vertical resolutions. The additional problem for comparingclimatolom giesfrom differentperiodsis that they cantime average TM data with high internal interannual variability; it is exemplifiedby the separatedstratopausein the northern •0 hemisphereand is highlighted here for the benefit of middle atmospheric modelers. Much of the rapid transienceseenin the zonal-mean 8o • .50 30 60S 30S 0 30N 60N fields(e.g., Figure 3) mustbe dueto fluctuationsin the gravity-wavedriving, as conjecturedby Fritts and Vin- Lafifude Figure 14. Zonal-mean zonalwindsfor October1977. cent[1987]amongothers.Here we showthat thereis Boldlinesdenote geopotential maxima forthewestwardalsoa significant component offastzonal-mean variabil- traveling waveisolated in Figure13. ity resulting fromlarge-scale transience in thestrato- sphere. The changesin zonal-meantemperature shown in Figures 8 and 9 are also consistentwith changesin instability[seeRandelandLair, 1991].The wavestruc- the residualmean circulation (e.g., Figure 8 of Ranture observedin Figure 16 (includingthe presenceof del [1993b])and are evidenceof globalcirculationcells downward pointing vectorsnear 60-65 km, which indi- which accompany winter hemisphere planetary wave cate a nonnegligiblecontribution from baroclinic wave events[Garcia,1987]. processes) is alsoconsistentwith the instability calculaIn our analysisof the couplingof large-scalepertur- tionsof ManneyandRandel[1993],performedfor back- bations in the stratosphereto those in the mesosphere, ground zonal flows similar to that in Figure 16. interpretation in terms of wave propagation is complicated by the large vortex interactionshigh in the up4. Discussion per stratospherewhere linear theory must break down. The well-known propensity of the polar vortex to sufThe difficulties inherent in producing mesospheric fer pulse-like distortions associatedwith sequencesof climatologies, and in particular, comparing such cli- warmingsthroughoutwinter [e.g.,Rosieret al., 1994] matologies from different periods and instruments are is seenhere. As has beenfoundbefore[Pierceet al., wove 1 Geop power 72 S .4 mb wave 1 1/78- 1/78- 7/77- 7/77- 1/77- 7/76- 1/76- 1/76- ,,,,,i,,,,,,,,,,,, i 3 i i 4 5 westward 72 N .4 mb 7/75 - ,,,,,,,,,,,,,,,,,,,,,, i 2 power 1/77- i 7/76- 7/75- Geop i i 10 10 I i 5 4 eastward Period (days) i i i i 3 2 2 3 i i 4 5 westward i i 10 10 i i 5 4 i 3 eastward Period (doys) Figure 15. East-westpowerspectrafor zonalwave 1 geopotentialheight fluctuationsat 0.4 hPa (•- 55 km) for data at 72øS(left) and 72øN (right). Spectraare calculatedfrom overlapping60day time seriesthroughout the PMR record. Note the spectralpeaks correspondingto eastward traveling waveswith periodsnear 4 days during southernhemispherewinter. 2 LAWRENCE AND RANDEL: OBSERVED MESOSPHERIC Zonal wind •/,I/ • 80 -'- .01 80 • 60 .10• • 60 •5o • •• 40 • 30 , 0 30N , , , .Ol 5o 40 10 30S 30 , , 60N • , , 60S 30S Latitude 4-day 23,487 4-day wave amp ...... 60S VARIABILITY 0 30N 60N Latitude wave mom flux 8o 4-day .01 wave EP flux div 80 _o .Ol •70 .10E •• .•o E 60 L o• 50 10 60S 5OS '0 '5ON 60N 1 •_ •40 50 60s Latitude •n 10 5os 0 50N 60N Latitude Figure 16. Meridional sections of zonal-mean wind(upperleft) and4-daywavegeopotential height(upperright)andnorthward momentum flux(lowerleft)andEliassen-Palm (EP) flux signature (lower right)duringa largeamplitude waveeventin September 1977.Shading in the zonalwinddenotes regionsof negativepotentialvorticitygradient.Contours of the EP flux divergence areq- 1, 2, .... m s-1 d-1. ubar at .1 mb 1993],suchpulsesare not alwaysobviouslyassociated 120 with pulsesfrom the troposphereand cannot easily be interpreted as Rossby-waveevents. The actual mesosphereis even more disturbed than .-• 100 60 40 • ._ 20 -20 the PMR observations suggest.Both rocketdata [e.g., Leovy and Ackerman,1973] and satellite data (Miles and Grose[1989]and the more recenthigh-resolution temperature retrievals provided by ISAMS) showphe- ................ qsuby af 56 S .1 mb nomena with periods of a day to a few days and small vertical scales which would not be visible in the PMR data. Indeed,Leovyand Ackerman[1973]statein their 4-day wave DF at 60 S analysis of rocket data that the main feature of interest is the changefrom remarkable steady flow below 45 km to strongly oscillating flow above 50 km, and this is .2 mb 5 consistentwith the more recentsatellitedata (including direct wind observationsfrom the high resolution Dopplerinterferometeraboard UARS). The PMR data don't showsuchan obviouschange,which again is probably due to the poor vertical resolutionof the retrievals. Such small-scale phenomena are probably due to a number of causes:Obviously,fluctuations in the source strength and propagation conditions will lead to variability in gravity wave driving. The further influenceof , 4-day wave amp af 72 S .4 mb 600 400 200 0 May June July August September Figure 17. Time series of background mean flow and 4-day wave quantities during May-September 1977. Shown from top to bottom are the 0.1-hPa zonal wind at 32øS and 56øS; quasi-geostrophicpotential gradient at 56øS, 0.1 hPa; EP flux divergenceat 60øS, 0.2 hPa; and geopotential height amplitude at 72øS, 0.4 hPa. nonlinearity[e.g,DunkertonandDelisi,1985]uponupward propagatingdisturbances(suchasthosedescribed above) and both local barotropic and baroclinic instability must also contribute. This latter prospect is consistent with our calculations that the meridional gradient of zonal-mean potential vorticity often changes sign on the poleward flank of the mesosphericjet, and towardthe pole, duringwinter (thussatisfyingthe nec- 23,488 LAWRENCE AND RANDEL: OBSERVED MESOSPHERIC VARIABILITY waves essaryconditions for meanflowsto be unstable).Since that of Salby[1981].Hisresultsshowsymmetric near5 daysandin therangeof 11-20days, the zonal-meanflow itself exists in the presenceof per- with periods mode(latitudinallyoutof turbations,it is highlylikely that a localcriterionfor whilethefirstantisymmetric hasperiodsof 8-11 days. instabilityis satisfiedthroughoutthe polarwintermeso- phasebetweenhemispheres) sphere(Pedlosky [1979]presents an argument that sim- The 5- to 10-daymodesseenin the PMR data appear symmetric 5-day pleinstabilityanalyses areprobablybiasedtowardsta- verysimilaroverallto the calculated little spreadof bility)ø Further,giventhat the staticstabilityin the mode,althoughSalby'sresultssuggest mesosphere is assmallasandoftenlocallysmallerthan enhancedresponsebeyondperiodsof 4.4-5.7 days,in seenin the PMR data. that in the troposphere,disturbances with horizontal contrastto the lowerfrequencies scalesof the order of 1-2000 km might be expected. However,unlike the troposphere,disturbances in the mesosphere are subjectto rapid radiativeand dynamical damping,somanysuchdisturbances may not developintoplanetary-scale waves,evenwhentheymight be locallylargefor shortperiodsof time. The manifestationof these sort of phenomenain the PMR data may well be the smallanticyclones that can be seen persisting for shortperiodsof time in synopticmapsof geopotentialheightin the mesosphere. Acknowledgments. Thisworkisbasedonthe considerableeffortof Clive Rodgers,JohnBarnett, and the original PMR team with the PMR instrument. We are indebted to Clive for providing the new PMR temperature retrievals and to John for providing the CIRA86 data in numerical form• Both Clive and John have been invaluable sources of information about the data. We are also grateful to John Gille and Dan Packman for taking the along-track data and convertingit into a global grid. B.N.L. acknowledges the supportof the Natural EnvironmentResearchCouncil,the inspiration of Sean Fitzpatrick and his team, and a num- Although the PMR data don't often directly show ber of useful conversations with David Andrews and Alan such small-scale phenomena, the effect of these scales O'Neill. W.J.R. acknowledgessupport from NASA grants is manifestin the calculations of Hassand Ebel[1986], W-16215 and W-18181. who in an attempt to assessthe efficiencyof transport due to waves carried out an analysis of the integral References scalespresentin the data. They found considerablespatial and temporal variability and, in particular, found Andrews, D. G., J. R. Holton, and C. B. Leovy, Middle timescaleslessthan 5 daysnearly everywherein the upAtmosphereDynamics. Academic Press, Inc., San Diego, Calif., 1987. per mesosphere. This, coupled with their observation that if radiative processeswere dominating then spatial Barnett, J., and M. Corney, Middle atmosphere reference model derived from satellite data, in Atmospheric Strucfields should have been smoother than observed, leads ture and Its Variation in the Region 20 to 120 kin, edited one to conclude that the effect of the small scales can by K. Labitzke, J. Barnett, and B. Edwards, vol. 16 of be found in the data even if it is not directly observed. Handbookfor MAP, pp. 47-85. Univ. of Ill., Urbana, 1985. The major wave phenomenawhich are directly ob- Clancy, R., and D. W. Rusch, Climatology and trends of mesospheric(58-90 km) temperaturesbasedupon 1982servablein the PMR data are the 4-day wave and the 1986 SME limb scattering profiles, J. Geophys.Res., 9•, normal modes discussedabove. The 4-day wave in the 3377-3393, 1989. PMR data is prevalent throughout the southern win- Clancy, R. T., D. Wo Rusch, and M. T. 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