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NOVEMBER 1997 ALEXANDER AND SCOTT 2963

Surface Flux Variability over the North Paci®c and North Atlantic Oceans

MICHAEL A. ALEXANDER AND JAMES D. SCOTT CIRES, University of Colorado, Boulder, Colorado (Manuscript received 22 January 1996, in ®nal form 9 May 1997)

ABSTRACT Daily ®elds obtained from a 17-yr atmospheric GCM simulation are used to study the surface sensible and latent heat ¯ux variability and its relationship to the sea level pressure (SLP) ®eld. The ¯uxes are analyzed over the North Paci®c and Atlantic Oceans during winter. The leading mode of interannual SLP variability consists of a single center associated with the Aleutian low in the Paci®c, and a dipole pattern associated with the and in the Atlantic. The surface ¯ux anomalies are organized by the low-level atmospheric circulation associated with these modes in agreement with previous observational studies. The surface ¯ux variability on all of the timescales examined, including intraseasonal, interannual, 3±10 day, and 10±30 day, is maximized along the north and west edges of both oceans and between Japan and the date line at ϳ35ЊN in the Paci®c. The intraseasonal variability is approximately 3±5 times larger than the interannual variability, with more than half of the total surface ¯ux variability occuring on timescales of less than 1 month. Surface ¯ux variability in the 3±10-day band is clearly associated with midlatitude synoptic . Composites indicate upward (downward) ¯ux anomalies that exceed |30 W mϪ2| occur to the west (east) of storms, which move eastward across the oceans at 10Њ±15Њ per day. The SLP and surface ¯ux anomalies are also strong and coherent in the 10±30-day band but are located farther north, are broader in scale, and propagate ϳ3±4 times more slowly eastward than the synoptic disturbances. The sensible and latent heat ¯ux are proportional to the wind speed multiplied by the air±sea temperature and humidity difference, respectively. The anomalous wind speed has the greatest in¯uence on surface ¯ux anomalies in the subtropics and western Paci®c, while the air temperature and moisture anomalies have the greatest impact in the northeast Paci®c and north of 40ЊN in the Atlantic. The covariance between the wind speed and the air temperature or humidity anomalies, while generally small, is nonnegligible on synoptic times- cales.

1. Introduction Many studies of midlatitude air±sea interaction (e.g., Fluxes of energy, momentum, and moisture across Kraus and Morrison 1966; Elsberry and Camp 1978; the air±sea interface play an integral role in the earth's Gulev 1997) utilized data collected at ocean weather climate. For example, the mean upper ocean circulation stations (OWSs) scattered over the North Atlantic and is primarily driven by the winds, while evaporation from North Paci®c, one of the few sources of long-term data the sea surface and the resulting release of latent heat records over the oceans. Zhao and McBean (1986) and drives much of the atmospheric circulation. In mid- Cayan (1992) were among the ®rst to examine basin- latitudes, the largest energy exchanges across the air± wide surface ¯ux variability and the processes that gen- sea interface occur during winter through the ¯uxes of erate this variability over the oceans. They used monthly sensible and latent heat. These ¯uxes depend on the averaged data to investigate the spatial variability of the near-surface wind speed, temperature, and humidity ¯uxes, and their relationship to the atmospheric circu- ®elds, all closely associated with the atmospheric cir- lation and sea surface temperature (SST) anomalies. Us- culation, and the sea surface temperature (SST). Most ing principal component analyses and canonical corre- studies have shown that the atmosphere governs the lations, Cayan (1992) found that the interannual vari- surface ¯ux variability on subdecadal timescales. In this ability in the surface ¯uxes is closely linked to the dom- study, we will explore the relationship between the sen- inant patterns of atmospheric circulation over the North sible and latent heat ¯ux and the atmospheric circulation Atlantic and North Paci®c Oceans. These heat ¯ux over the Northern Hemisphere oceans during and be- anomalies then force SST anomalies to form, resulting tween winters. in the tendency of the SST anomaly ®elds to closely match the heat ¯ux anomaly patterns. Cayan's results were con®rmed by Iwasaka and Wallace (1995), who applied singular value decomposition (SVD) to paired Corresponding author address: Dr. Michael A. Alexander, CIRES, University of Colorado, Box 449, Boulder, CO 80309. ®elds of 500-mb height, surface ¯uxes, and SST ten- E-mail: [email protected] dency.

᭧ 1997 American Meteorological Society 2964 JOURNAL OF CLIMATE VOLUME 10

In contrast to the limited number of papers on basin- scale patterns of SST anomalies are associated with scale, low-frequency, surface ¯ux variability, there have regions of large submonthly atmospheric variability been numerous studies of the relationship between mid- (Zorita et al. 1992; Gulev 1997) and why the SST anom- latitude and oceanic surface ¯uxes. Petterssen alies reach a maximum ϳ2±3 weeks after the peak at- et al. (1962) constructed composites of midlatitude cy- mospheric forcing has occurred (Deser and Timlin clones in various stages of development over the North 1997). Atlantic and found large upward heat ¯uxes in the cold The structure of atmospheric variability depends on sector west of the 's center. Recent studies have timescale, even at periods of less than 1 month. Synoptic shown that the sensible plus latent heat ¯ux can exceed variability associated with midlatitude storms occurs on 2000 W mϪ2 in the cold sector of strong storms (Neiman timescales of approximately 2±10 days (Blackmon et and Shapiro 1993). Sanders and Gyakum (1980), Sand- al. 1977; Wallace et al. 1988). Rossby waves, blocking ers (1986), Monobianco (1989), plus many more have events, slowly moving cutoff lows, and semistationary examined ``bombs''Ðmidlatitude cyclones that develop patterns (Blackmon et al. 1984; Kushnir and Wallace rapidly over the ocean. These storms preferentially de- 1989; Dole and Black 1990; Lanzante 1990) all con- velop over regions of strong SST gradients, such as the tribute to atmospheric variability at lower frequencies, one associated with the Gulf Stream, where surface ¯ux- especially timescales of 10±30 days. It is thus natural es destabilize the atmosphere and increase the low-level to inquire how the surface ¯uxes are organized at these baroclinicity. In model simulations of bombs performed two different timescales. with and without surface ¯uxes, some have indicated Sensible (latent) heat ¯ux anomalies depend on the that the ¯uxes had little impact on storm development product of the mean air±sea temperature (moisture) dif- (Chang et al. 1989; Kuo and Low-Nam 1990). Other ference times the anomalous wind speed and vice versa; studies found that the ¯ux of heat into in the cold sector thus, the mean climatological state can strongly in¯u- of the storm reduced the low-level baroclinicity, de- ence the surface ¯uxes anomalies. Some studies have creasing the storm's intensity (Nuss and Anthes 1987; found that SST anomalies are driven by ¯uctuations in Reed and Simmons 1991). However, it appears surface the air temperature and humidity, rather than wind speed ¯uxes play an important role in preconditioning the at- (Luksch and von Storch 1992; Battisti et al. 1995; Lau mosphere for rapid . Modeling studies by and Nath 1996), while others have indicated that SST Uccellini et al. (1987), Nuss (1989), and Kuo et al. anomalies are closely tied to wind speed ¯uctuations (1991) indicate that surface ¯uxes enhance the potential (O'Brien and Chassignet 1995; Halliwell and Mayer for rapid storm development in the precylogenesis stage 1996; Halliwell 1997). Cayan (1992) found that the sen- by increasing the available moisture, enhancing the low- sible heat ¯ux is primarily controlled by air temperature level baroclinicity associated with coastal fronts, and anomalies while the latent heat ¯ux is in¯uenced by reducing the static stability. both wind and moisture anomalies, though the relative On synoptic timescales, surface ¯uxes not only sup- contributions of these variables to the ¯ux anomalies ply energy for development but can also force varied over the North Paci®c and Atlantic Oceans. In SSTs to change rapidly. Using data from OWSs and addition, Halliwell (1997) noted that the relative in¯u- one-dimensional mixed layer model simulations Camp ence of wind speed and air temperature anomalies on and Elsberry (1978), Davis et al. (1981), and Large et the ocean may be timescale dependent since the air tem- al. (1994) showed that the SST cooled by more than perature comes into thermal balance with the underlying 1ЊC within days of the passage of storms through in- SST over longer periods. creased surface heat ¯uxes and turbulent mixing within General circulation models (GCMs) of the atmo- the ocean. The latter enhances the entrainment of cold sphere, ocean, and the two systems coupled together water from the deeper ocean into the surface layer. Fran- have been used to study the atmospheric response to kignoul and Hasselmann (1977), Frankignoul and Reyn- SST anomalies, the development of ocean temperature olds (1983), Alexander and Penland (1996), Hall and anomalies in response to atmospheric forcing, and the Manabe (1996), and Halliwell and Mayer (1996) have coevolution of anomalies in both systems. However, a shown that outside of regions with strong currents, much detailed analysis of surface ¯uxes in GCMs has not yet of the variability of SST anomalies can be explained by been performed. GCMs have the bene®t that variables the integrated effect of surface forcing due to storms can be obtained at each grid point over the entire domain damped by negative air-sea feedback. The rapid decor- on relatively short timescales and that the model ®elds relation time between synoptic events results in a nearly are in dynamic and thermodynamic balance. The uniform or ``white'' spectrum of the surface forcing over model's ®delity can be benchmarked by comparing its the periods at which SST anomalies evolve. The thermal representation of the surface ¯ux variability and low- damping occurs as anomalously warm (cold) water loses level atmospheric circulation to observations. more (less) heat to the atmosphere, which causes SST Here we examine a 17-yr simulation performed with anomalies to decay with an e-folding time of 3±6 the Geophysical Fluid Dynamics Lab (GFDL) GCM, months. This framework for midlatitude air±sea inter- described in section 2, to examine the temporal and action can be used to explain why the dominant large- spatial variability of surface ¯uxes over the North Pa- NOVEMBER 1997 ALEXANDER AND SCOTT 2965 ci®c and Atlantic Oceans with the aim of bridging the heat ¯uxes exceeding 300 W mϪ2 just east of Asia during gap between previous studies of interannual variability winter (Alexander and Scott 1996b). and those that have focused on the ¯uxes associated Relationships between anomalies in Qsh and Qlh and with storms. The SST and sea ice boundary conditions those in wind speed air temperature and humidity are in the model simulation repeat the same seasonal cycle examined in section 3c, so it is important to note that each year, thus we can isolate the surface ¯ux variability, the values of Qsh and Qlh archived directly from the which is independent from oceanic ¯uctuations. In sec- model do not exactly match those computed off-line tion 3, we investigate the relationship between the near- using the archived values of U, Tair, and qair in (1) and surface atmospheric circulation and the surface ¯uxes, (2). This discrepancy appears to occur for two reasons. the timescale dependence of the surface ¯uxes, and the First, processes that alter the atmospheric variables, such relative contribution of the wind speed, air temperature, as radiation and convection, are executed in the sub- and humidity to the surface ¯ux variability. The results, routine calling sequence after the ¯uxes have already including differences in the surface ¯ux characteristics been computed. Second, while both the surface ¯uxes over the Atlantic and Paci®c Oceans, are summarized and atmospheric variables are archived every 24 h, Qsh and discussed in section 4. and Qlh are stored as daily averages, while U, Tair, and qair are stored as instantaneous values from one model time step. We infer that processes such as convection, 2. The GFDL GCM and processing of model ®elds which mix heat upward and momentum downward into the surface layer in winter, reduce T and q and en- The atmospheric GCM used in this study is a global air air hance U, thereby, increasing the mean upward heat ¯ux spectral model with rhomboidal truncation at wavenum- in the off-line calculations, while time averaging sup- ber 30, corresponding to a horizontal resolution of ap- presses the variance of the archived ¯ux values. As a proximately 2.25Њ latitude ϫ 3.75Њ longitude. There are result, Q and Q computed off-line, using the primary 14 unequally spaced sigma levels in the vertical, with sh lh variables have means (standard deviations) that are ap- the lowest level at ϳ30 m above the surface. The GCM proximately 20% (30%±50%) larger than the archived was integrated for 17 yr, in which the mean seasonal ¯ux values during winter, though the patterns of vari- cycle of SST and sea ice, derived from long term cli- ability are similar. matologies, were repeated each year. The model in- We perform analyses using daily values of the surface cludes smoothed orography, gravity wave drag, and pre- sensible and latent heat ¯ux and the low-level atmo- dicted clouds. Stratiform clouds form and precipitation spheric ®elds during the months of December, January, begins when the relative humidity exceeds 100%, while and February (DJF).1 Daily anomalies are computed subgrid-scale precipitation is parameterized by moist from the daily values minus the long-term DJF (month- convective adjustment. Soil moisture is predicted using ly) mean in section 3a (3b and 3c). In some analyses, the bucket method, where the ground can absorb up to the daily anomalies are time ®ltered using a Lanczos 1.5 m of precipitation before runoff begins. Many fea- ®lter (Duchon 1979) to isolate synoptic (3±10-day) and tures of the model's climate from this simulation are lower-frequency (10±30-day) variability. Filtering is presented in a printed atlas and an electronic version on performed using 121 weights, requiring 60 days of data the World Wide Web (Alexander and Scott 1995, on either side of the time point being ®ltered including 1996a), while a more complete description of an earlier values prior to December and after February. We also version of the GCM is given by Gordon and Stern examine the interannual (winter-to-winter) variability, (1982) and Manabe and Hahn (1981). the departure of the mean for a particular DJF season The model's surface sensible and latent heat ¯ux are from the long-term DJF mean, and the intraseasonal computed using standard bulk aerodynamic formulas: (within winter) variability, the departure of the daily Q ϭ cc␳U(SST Ϫ T ) (1) values from the mean of that one season. The sum of sh pH air the intraseasonal and interannual variance equals the

Qlh ϭ cLe ␳U(qsatϪ q air), (2) total variance of the daily anomalies during the 16 avail- able DJF periods. The variability of the model's sensible where cp and ␳ are the speci®c heat and density of air; and latent heat ¯ux and the relationship to the low-level

L is the latent heat of vaporization; cH and ce are the atmospheric ®elds are examined using empirical or- heat and moisture ¯ux coef®cients, which are both as- thogonal functions (EOFs), standard deviations, lead- signed a constant value of 1 ϫ 10Ϫ3; U is the wind lag correlations, composites, and regressions. speed; Tair and qair are the air temperature and speci®c humidity at the lowest model level; and qsat is the sat- uration speci®c humidity, which is solely a function of SST. The mean sum of the sensible and latent heat ¯ux 1 The shortwave and longwave radiation, the other two terms in the surface energy budget, are archived as monthly averages. They (Qsh ϩ Qlh) in the GFDL GCM closely matches that are believed to play a secondary role in the surface energy balance obtained from the National Center for Environmental over most of the midlatitudes during winter and will not be discussed Prediction (NCEP) Re-analysis Project with upward here. 2966 JOURNAL OF CLIMATE VOLUME 10

3. Results a. Interannual and intraseasonal variability As a ®rst step, we examine the relationship between the dominant patterns of sea level pressure (SLP) and surface ¯ux variability on interannual timescales in the GFDL GCM; the results will then be compared to pre- vious observational studies. The ®rst EOF of SLP over the North Paci®c (Fig. 1a) explains 58% of the winter- to-winter variance and has one main center that extends across the basin at 45ЊN. This mode is associated with changes in strength and position of the Aleutian low. When the low is stronger than normal (the positive phase of EOF 1), the associated cyclonic circulation (assuming the ¯ow is nearly geostrophic) results in stronger winds and colder air ¯owing out over the western Paci®c, while warm moist air is advected northward in the north- east part of the basin. This circulation pattern suggests enhanced heat loss from the ocean to the atmosphere in the central and west Paci®c, while the ocean heat loss is reduced off the coast of North America and in the

Gulf of Alaska. EOF 1 of Qsh ϩ Qlh (Fig. 1b), which explains 43% of the variance, has this pattern with anomalies of one sign between 30Њ and 45ЊN from Japan to 140ЊW, and anomalies of the opposite sign to the north and east. The relationship between the leading

SLP and Qsh ϩ Qlh EOF patterns is examined more rigorously by computing the correlation between the ®rst principal component (PC 1) of SLP, the time series corresponding to EOF 1, with the Qsh ϩ Qlh anomalies at each model grid point over the North Paci®c (Fig.

1c). The pattern closely resembles the ®rst EOF of Qsh ϩ Qlh (Fig. 1b) with the magnitude of the correlations exceeding 0.6 over much of the central and east Paci®c. IG EOF 1 of SLP and Qsh ϩ Qlh, and the correlation of F . 1. EOF 1 of interannual (a) SLP and (b) Qsh ϩ Qlh anomalies SLP PC 1 with Q ϩ Q anomalies over the North over the North Paci®c, based on departures of individual DJF means sh lh from the 16-yr DJF mean, and (c) the correlation between PC 1 of Atlantic are presented in Fig. 2. In contrast to the Paci®c, SLP, the time series associated with (a), and gridpoint values of Q the leading SLP anomaly pattern is a dipole with one sh ϩ Qlh. EOF 1 explains 58% (43%) of the SLP (Qsh ϩ Qlh) variance. center east of Iceland and the second in the central North The contour interval is 0.02 in (a) and (b) and 0.2 in (c). Negative Atlantic. The implied zonal circulation associated with contours are dashed, and values greater (less) than ϩ1(Ϫ1) contour the dipole SLP mode would lead to bands of anomalous interval are shaded dark (light). Upward-directed ¯ux anomalies are positive. EOFs are computed using the covariance matrix and the surface ¯uxes, with a node at ϳ42ЊN as seen in Fig. resulting ®elds normalized so the sum of the squares of the gridpoint 2a,b. However, the change in sign of the ¯ux anomalies values equal one. The ®elds input into the EOF analyses are the actual between 25Њ±35ЊN is not accompanied by a reversal in values from the model's Gaussian grid; cosine weighting the ®elds direction of the anomalous ¯ow as indicated by the SLP by latitude gave similar results but with the patterns shifted slightly gradient in Fig 2a. In this region the mean circulation to the south. switches from midlatitude westerlies to subtropical east- erlies, so a zonal wind anomaly that would enhance the wind speed and the advection of continental air over the season has been examined further using SVD analyses, ocean at 35ЊN would have the opposite affect at 25ЊN, which maximizes the covariance between two ®elds resulting in ¯ux anomalies of opposite sign. Here, EOF (Bretherton et al. 1992). The ®rst mode dominates the

1ofQsh ϩ Qlh (Fig. 2b) and the correlation between PC covariability between the SLP and Qsh ϩ Qlh ®elds over 1 of SLP and the grid point values of Qsh ϩ Qlh (Fig. the North Paci®c and North Atlantic Oceans, explaining 2c) both indicate the dominant pattern of surface ¯ux more than three-fourths of the squared covariance over variability consists of zonal bands with nodes at ϳ25Њ both ocean basins. Maps of heterogeneous correlations and ϳ45ЊN that are linked to the anomalous near-surface between the two ®elds for the leading mode (not shown), atmospheric circulation. one method of displaying the SVD results, are very

The link between SLP and Qsh ϩ Qlh for the winter similar to those based on observations (Iwasaka and NOVEMBER 1997 ALEXANDER AND SCOTT 2967

FIG. 3. The standard deviation of (a) intraseasonal and (b) inter-

annual Qsh ϩ Qlh anomalies, based on departures within and between DJF periods. Contour interval is 20 W mϪ2 in (a) and 10 W mϪ2 in (b); values between 100±120 and (a) and 30±40 in (b) are shaded light, while those greater than 120 in (a) and 40 in (b) are shaded dark.

of Cayan (1992a, b) and Iwasaka and Wallace (1995) in that i) the leading patterns of SLP and surface ¯ux variability in the model and observations are similar, ii) the SLP patterns resemble the oceanic portion of the North Atlantic Oscillation and the Paci®c North Amer- ican pattern, iii) the surface ¯ux variability is regulated by the low-level atmospheric circulation, iv) the percent variance explained by EOF 1 of SLP exceeds that of

Qsh ϩ Qlh since the surface ¯ux variability is not as spatially coherent, and v) the maxima in the pressure and pressure gradients are located over the central por- tion of both the Atlantic and Paci®c while the surface ¯ux maxima are found near continents, primarily on the western side of the basins. The circulation and surface ¯ux anomalies are not necessarily collocated because the latter also depends on the air±sea temperature and humidity differences, which are greatest just east of the continents. The model's ability to reproduce the ob- served characteristics of the surface ¯uxes on interan- nual timescales indicates that the leading patterns of variability during winter are not critically dependent on SST anomalies, which are not included in this GCM simulation, and also gives us some con®dence to in- vestigate the model's surface ¯ux variability on intra- seasonal timescales.

The standard deviation (␴)ofQsh ϩ Qlh on intrasea- sonal (Fig. 3a) and interannual (Fig. 3b) timescales, usea and v , which represent the variability within and be- FIG. 2. EOF 1 of interannual (a) SLP and (b) QshЈ ϩ Qlh anomalies ann over the North Atlantic and (c) the correlation between PC 1 of SLP tween DJF periods, have very similar patterns. In the and grid-point values of QЈ ϩ QЈ. EOF 1 explains 54% (36%) of the sh lh Paci®c, ␴sea and ␴ann maxima are found along the coast SLP (Q ϩ Q ) variance. Contour interval and shading as in Fig. 1. sh lh and extend eastward between 20Њ±25ЊN, 35Њ±45ЊN, and 50Њ±60ЊN reaching about 150ЊE, 180Њ, and 140ЊW, re- Wallace 1995) and to the EOF and correlation maps spectively. In the Atlantic, the largest standard devia- presented in Figs. 1 and 2. tions on both timescales extend northeastward, paral- The relationship between the SLP and the surface heat leling the coasts of the North America and Greenland ¯uxes on interannual timescales obtained from the with pronounced maxima over the Labrador Sea, and

GFDL GCM agree well with the observational studies from Greenland east to the Norwegian Sea. The ␴sea 2968 JOURNAL OF CLIMATE VOLUME 10

FIG. 4. The standard deviation of Qsh ϩ QlhЈ (Ј denotes daily anom- alies), which have been ®ltered to retain timescales of (a) 3±10 and (b) 10±30 days. Contour interval is 10 W mϪ2 and values between 60±70 are shaded light, while those greater than 70 W mϪ2 are shaded dark. values exceed 100 W mϪ2 over ϳone-third of the do- main, and are generally 3±5 times larger than the ␴ann values, in agreement with Cayan (1992). An explanation for why the standard deviation on interannual timescales are collocated with those on in- traseasonal timescales but less than one-third as large may be that variability in both time bands are governed by ¯ux anomalies that are nearly white in time and result from the passage of midlatitude storms. If Qsh ϩ Qlh variability is dominated by synoptic disturbances that have a Gaussian distribution and a short autocorrelation time (␶), that is, Qsh ϩ Qlh is white, for ␶-day means then ␴ann ϳ ␴sea/͙ 90/␶, where 90 is the number of days in DJF. Using typical ␶ values for Qsh ϩ QlhЈ of 4 to 10 FIG. 5. The (a) ®rst and (b) second EOF of daily QshЈ ϩ Q lhЈ over days (Frankignoul and Hasselmann 1977; Deser and the North Paci®c, which have been ®ltered to retain timescales of 3± Timlin 1997) results in ␴sea/␴ann ϳ 3.0±4.8, consistent 10 days, and (c) the correlation between PC 1 and 2 in the 3±10-day with what is seen in Fig. 3. band at lags of up to Ϯ5 days. EOF 1 (2) explains 10% (8%) of the variance in the 3±10-day band. Contour interval and shading as in Fig. 1. b. Variability on timescales of 3±10 and 10±30 days

The standard deviation of the time ®ltered daily Qsh monthly frequencies over almost all of the midlatitude ϩ Qlh anomalies for periods of 3±10 and 10±30 days oceans. are presented in Fig. 4. Daily anomalies (denoted by The spatial structures associated with synoptic surface primes) were ®rst ®ltered over all but the ®rst and ®nal ¯ux variability are obtained from the leading pair of

60 days of the model simulation and the resulting ti- EOFs of QshЈ ϩ QЈ lh ®ltered to retain periods of 3±10 meseries were then used to compute ␴ during the 16 days. The ®rst two EOFs over the North Paci®c (Fig. DJF periods. The pattern of the ¯ux variability in the 5) are composed of a series of 4 to 5 individual anomaly two time bands are similar over both the North Atlantic centers that alternate in sign and together span most of and North Paci®c, with ␴ exceeding 60 W mϪ2 on the the Paci®c. The magnitude of the anomalies tends to be northwest side of both basins. The magnitude of ␴ in largest south of ϳ45ЊN and decreases from west to east the synoptic (3±10-day) band tends to be slightly larger across the basin. The individual anomalies, which slope than that in the lower-frequency (10±30-day) band ex- toward the southwest south of 45ЊN, subtend ϳ25Њ of cept over the eastern subtropics and parts of the northern longitude and cover the entire meridional extent of the edge of the domain. Fluctuations of QЈshϩ QЈ lh in the 3± domain. The anomaly centers in EOF 2 are 20Њ±30Њ of 10- (10±30-) day band explain 30%±45% (20%±35%) longitude east of anomalies of the same sign in EOF 1. of the total variance (not shown); thus, more than half The two leading EOFs have a similar structure but ap- of the DJF surface heat ¯ux variability occurs at sub- pear to be in quadrature; that is, the anomaly maxima NOVEMBER 1997 ALEXANDER AND SCOTT 2969

ance, are in quadrature, and their time series are highly correlated when separated by 1 day, suggesting north- eastward propagation of the anomaly pattern. It is also possible to compute EOFs of the ¯uxes in the 3±10-day time band by ®rst ®ltering the basic at- mospheric variables and then using the ®ltered variables

in the bulk formula to obtainQshЈ and Qlh. When the variables are ®ltered ®rst, the leading EOF of QshЈ ϩ QlhЈ , which only explains ϳ5% of the variance, consists of one elongated band that extends from south of Japan to the central Paci®c, diminishing as it crosses the basin (not shown). The second EOF is not paired with the ®rst. It appears that by ®ltering the variables ®rst, one obtains the surface ¯ux anomalies associated with the overall storm track rather than individual storms. The

covariance between UЈ andTЈair and UЈ andq airЈ contribute to lower-frequency ¯ux anomalies, as indicated by greater lag autocorrelations of PC 1, obtained from

QshЈ ϩ QЈ lh calculated with the ®ltered atmospheric vari- ables, compared with those obtained when the ¯uxes were directly ®ltered (not shown). We have also examined the standard deviation, the percent variance explained, and the two leading EOFs of SLP, in the 3±10-day band over the Northern Oceans during DJF (not shown). In agreement with previous analyses (Blackmon et al. 1977; Whittaker and Horn 1983; Wallace et al. 1988) strong synoptic variability occurs over the far North Paci®c and Atlantic Oceans, coincident with the Aleutian and Iceland lows. While the anomalies of largest magnitude occur between 45Њ± 65ЊN in the eastern half of both basins the percent vari- ance explained by the 3±10-day band reaches a maxi- mum over the western third of the oceans between 30Њ and 45ЊN. The EOF analyses of SLP indicates that the leading pair of patterns represent midlatitude storms that FIG. 6. The (a) ®rst and (b) second EOF of daily Q ϩ QЈ over sh lh propagate eastward across the oceans in about 6 days. the North Atlantic ®ltered to retain timescales of 3±10 days and (c) the correlation between PC 1 and 2 in the 3±10-day band at lags of The low-level atmospheric circulation and its relation up to Ϯ5 days. EOF 1 (2) explains 11% (8%) of the variance. Contour to the surface ¯uxes on synoptic timescales is examined interval and shading as in Fig. 1. by compositing the 3±10-day ®ltered SLPЈ and QЈsh ϩ QlhЈ over the North Paci®c and Atlantic Oceans when the ®ltered SLP at a selected basepoint is less than Ϫ1␴. in EOF 1 coincide with the zero lines in EOF 2. Lead- In the Paci®c, the basepoint is centrally located at 37ЊN lag correlations between the PCs corresponding to the and the dateline, where ␴ of SLPЈ in the 3±10-day band two leading EOFs (Fig. 5c) is greater than 0.6 (less than is 6.0 mb. Composites based on an average of 207 cases Ϫ0.6) when PC 1 leads (lags) PC 2 by 1 day. Given are constructed at 0 lag (the reference time when SLPЈ that the ®rst two EOFs explain a similar amount of ϽϪ1␴) and at 2-days lead and lag (Fig. 7). At 0 lag variance (ϳ10%), their spatial and temporal relationship (middle panel), a low pressure system is centered slight- suggests that the anomaly pattern shifts eastward over ly north of the basepoint and is ¯anked by highs with the Paci®c by about 10Њ±15Њ dayϪ1. small positive values. (The decrease in the magnitude

The ®rst two EOFs of the 3±10-day ®ltered QshЈ ϩ of SLPЈ away from the basepoint is primarily due to a QlhЈ over the Atlantic and the lead-lag correlation be- decorrelation of atmospheric ®elds in both space and tween their corresponding time series are shown in Fig. time and does not necessarily indicate a decrease in the 6. Both EOFs have three centers, which lie along a strength of highs and lows.) Broad bands of ¯ux anom- southwest±northeast axis that extends across the basin. alies that have a positive tilt with latitude pass near the The anomalies have maximum amplitude off the east axis of the three pressure anomalies. The strongest up- coast of the United States and over the Labrador Sea ward heat ¯ux anomalies are found about 20Њ west of and the adjoining North Atlantic. As in the Paci®c, the the central low pressure. Relatively strong downward Ϫ2 leading pair of patterns each explain ϳ10% of the vari- ¯ux anomalies (QshЈ ϩϽϪQЈ lh 30 W m ) are located 2970 JOURNAL OF CLIMATE VOLUME 10

kink in the surface pressure ®eld that extends southwest from the low. Analysis of the 1000±500-mb thickness anomalies (not shown) suggests that this kink in the SLP ®eld is a cold front with negative (positive) heat ¯ux anomalies occurring within the warm (cold) sector ahead of (behind) the front. Figures 7a and 7c indicate the change in the position and strength of the SLP and ¯ux anomalies at Ϫ2- and ϩ2-days lag, two days before and after the low passes near the basepoint. From a lag of Ϫ2 days to 0 lag, the low pressure center tracks eastward from east of Japan to the center of the basin; it then tracks northeastward approaching southern Alaska 2 days later. In the central and west part of the basin the SLP anomalies are nearly concentric. In the eastern part of the basin the clima- tological ¯ow is dif¯uent, which acts to strain synoptic eddies, causing the SLP anomalies to elongate meri- dionally or split the storm track in two (Whitaker and Dole 1995). In this region, southerly wind anomalies advect warm moist air ahead of either the one long cold front or in the warm sector of storms traveling along a north or south track; either case results in downward heat ¯ux anomalies that extend all the way from Alaska to the southern edge of the basin.

Composites of SLPЈ and QshЈ ϩ QЈ lh in the 3±10-day band over the Atlantic at Ϫ2-, 0-, and ϩ2-days lag (Fig. 8) are based on the 220 cases when the SLP at 0 lag is less than Ϫ1␴ (Ϫ8.1 mb) at 52ЊN, 35ЊW. As in the Paci®c, at 0 lag a strong low is ¯anked by highs with positive (negative) heat ¯ux anomalies to the southwest (northeast) of the low. The SLP anomalies also prop- agate northeastward, crossing the basin in ϳ6 days. In contrast to the Paci®c, the ¯ux anomalies are zonally FIG. 7. Composites of 3±10-day ®ltered SLPЈ (mb) and QshЈ ϩ Ϫ2 elongated and strong downward heat ¯ux anomalies do QlhЈ (W m ) over the North Paci®c at (a) 2 days prior, (b) on the reference day (0 lag), and (c) 2 days after the SLPЈ at the basepoint not occur ahead of the cold front south of the low's (ϩ), located at 37ЊN, 180Њ, is less than Ϫ1␴ (Ϫ6.0 mb). The com- center. In addition, while the low is ϳ25% stronger in posites consist of 207 cases. SLPЈ are contoured at 2-mb intervals the Atlantic than in the Paci®c at 0 lag, its magnitude with negative contours dashed, while the QЈ ϩ QЈ is shaded at 10 sh lh 2 days later is ϳ30% smaller compared with its Paci®c WmϪ2 intervals where positive (negative) anomalies get darker (light- er) with increasing magnitude. counterpart, suggesting that storms are either more vari- able and/or decay more rapidly in the Atlantic.

The analyses of SLP and Qsh ϩ Qlh on synoptic times- just northeast of the central low and more than 2000 cales suggests that the GCM is reproducing many of the km southwest of the storm center. These dual centers observed features of marine midlatitude cyclones, are due in part to differences in Qsh and Qlh anomalies: though some differences can be noted as well. The SLP the magnitude ofQЈsh reaches a maximum at ϳ40ЊN and Qsh ϩ Qlh from the model resemble observations of whileQlhЈ is maximized at ϳ20ЊN, resulting in a relative midlatitude storms in terms of their shape and structure, minimum in |QЈshϩ QЈ lh| at around 30ЊN. In addition, Qsh though they tend to be of larger scale and somewhat ϩ QlhЈ due to wind speed anomalies and those due to weaker than typical storms in the real world. Several temperature plus moisture anomalies tend to cancel each factors contribute to a broader scale: (i) the model's other just to the south of the low (see section 3c and resolution is too coarse to represent strong fronts and Fig. 14), which also contributes to the gap in the down- tight SLP gradients, (ii) composites smooth out and en- ward ¯ux anomalies near 30ЊN and the date line. large the features, and (iii) ®ltering on 3±10 days ex- The heat ¯ux anomalies are consistent with the cir- tracts the larger scale component of the synoptic vari- culation around the low, upward ¯ux anomalies are as- ability; when the data were ®ltered retaining periods of sociated with northerly winds and the advection of cold 2±6 days (a la Blackmon et al. 1977), the zonal extent dry air behind the low, with the reverse occurring ahead of the individual cyclones decreased by about one-third. of the low. The negative Qsh ϩ Qlh anomaly centered In addition, the track and strength of surface highs and at 22ЊN, 165ЊE (Fig. 7b) is located just east of a slight lows in Figs. 7 and 8 are in¯uenced by the criteria used NOVEMBER 1997 ALEXANDER AND SCOTT 2971

FIG. 9. Composites of 10±30-day ®ltered SLPЈ (mb) and QshЈ ϩ Ϫ2 QЈlh (W m ) over the North Paci®c at (a) 3 days prior, (b) on the day, and (c) 3 days after the SLPЈ at the basepoint, located at 54ЊN, 170ЊW, FIG. 8. Composites of 3±10-day ®ltered SLPЈ (mb) and QЈ ϩ sh is less than Ϫ1␴ (Ϫ10.0 mb). The composites consist of 262 cases; QЈ (W mϪ2) over the North Atlantic at (a) 2 days prior, (b) on the lh contour interval and shading as in Fig. 7. reference day, and (c) 2 days after the SLPЈ at the basepoint, located at 52ЊN, 35ЊW, is less than Ϫ1␴ (Ϫ8.1 mb). The composites consist of 220 cases; contour interval and shading as in Fig. 7. is within the dominant storm track and the ¯ux anom- alies from the composite and EOF analyses are similar to composite the model ®elds. Composites of SLPЈ and as well. Moving the basepoint in either basin does not

QshЈ ϩ QЈ lh, based on a ϩ1␴ SLP criteria (not shown), affect the general structure of the SLPЈ and QshЈ ϩ QЈ lh obtain anomalies of similar magnitude and shape but of ®elds but does change the magnitude of the anomalies opposite sign to the Ϫ1␴ SLP composite, suggesting a (not shown). For example, moving the Atlantic base- linear relationship between SLP and the surface ¯uxes. point from 52ЊN, its present location, to 37ЊN, the same The results of the composite analyses also depend on latitude as the Paci®c basepoint, decreases the magni- the position of the basepoint. The basepoint in the Pa- tude of both SLPЈ and QshЈ ϩ QЈ lh by roughly 50%. ci®c is located 10Њ±15Њ south of the center of the storm Composites of 10±30-day ®ltered SLPЈ and QshЈ ϩ track but in a region of large Qsh ϩ Qlh variability in QlhЈ at lags of Ϫ3, 0, and ϩ3 days over the North Paci®c the 3±10-day band as indicated by Fig. 4a. This results and North Atlantic Oceans are shown in Figs. 9 and 10, in the maximum SLPЈ to be located slightly north of respectively. While the magnitude of the SLP anomalies the basepoint but still obtains relatively strong storms in the lower-frequency band are similar to those in the that are associated with the dominant pattern of surface synoptic band, their scale is much broader and they

¯ux anomalies, as can be seen by comparing QЈsh ϩ progress more slowly eastward, consistent with the ob- QlhЈ composites (Fig. 7) and EOFs (Fig. 5). In addition, served space±time frequency spectra and observations the evolution of storms remains over the ocean for the of propagating Rossby waves and cutoff lows (Black- three composite periods. The basepoint in the Atlantic mon et al. 1984; Kushnir and Wallace 1989; Dole and 2972 JOURNAL OF CLIMATE VOLUME 10

c. Dependence of the ¯ux anomalies on the atmosphere±ocean variables To examine the relative in¯uence of the air-sea tem- perature difference and the wind speed on the sensible heat ¯ux anomalies, we ®rst expand the variables in (1) into their mean and anomalous components:

QshЈϭ␳ccHp[U ⌬TЈϩUЈ⌬T ϩ (UЈ⌬TЈϪUЈ⌬TЈ)], (3) where ( ) indicates a long-term monthly mean for one of the winter months, (Ј) the daily departure from that

mean, and ⌬T ϭ SST Ϫ Tair. The full value of ␳ (␳ ϩ ␳Ј) is used in (3); however, air density anomalies con-

tribute little toQshЈ as ␳Ј K ␳. Recall from section 2 that cH (and ce) are constants and that the SSTs repeat the same seasonal cycle each year in this model simulation.

Thus, cHЈ ϭ 0, and ⌬TЈ is given byT airЈ . As discussed in section 2, the archived values of Qsh differ from those computed off-line using (1) or (3) because (i) Qsh is stored as a daily average, while Tair and U are stored as instantaneous values, and (ii) Tair and U used to compute Qsh are modi®ed by additional processes before being archived. In this section we have calculatedQshЈ , using the archived values of U, and Tair, in order forQshЈ to equal the sum of the terms on the right hand side of (3). During DJF, the daily values of the three terms on the right hand side of (3) are regressed separately on

QshЈ at each model grid point, indicating the local fraction ofQЈsh related to thermal anomalies (U⌬TЈ), wind speed anomalies (UЈ⌬T), and the covariance between the two (UЈ⌬TЈϪUЈ⌬TЈ). The regression values of U⌬TЈ and

UЈ⌬T (multiplied by ␳cHcp) are presented in Fig. 11 for

FIG. 10. Composites of 10±30-day ®ltered SLPЈ (mb) and QshЈ ϩ the North Paci®c and Atlantic Oceans; the covariance Ϫ2 QlhЈ (W m ) over the North Atlantic at (a) 3 days prior, (b) on the term (not shown) has a small contribution with values day, and (c) 3 days after the SLPЈ at the basepoint, located at 58ЊN, of less than 0.2 over almost all of the domain. In the 15Њ30ЈW, is less than Ϫ1␴ (Ϫ7.3 mb). The composites consist of 254 cases; contour interval and shading as in Fig. 7. Paci®c, more than half ofQshЈ can be attributed to U⌬TЈ along much of the west coast of North America and within a band extending from the South China Sea to Black 1990). In both the Paci®c and Atlantic, two pos- the Gulf of Alaska. In the Atlantic, U⌬TЈ is the dom- inant term over most of the basin north of 35ЊN. Here, itive Qsh ϩ QЈlh centers are located about ϳ20Њ west of the low at 0 lag (Figs. 9b and 10b). The northern center QshЈ is dominated by UЈ⌬T (Fig. 11b) in the northwest is near the Siberian Peninsula in the Paci®c, and Green- Paci®c and in the central part of both oceans south of land in the Atlantic, so the anomalous cyclonic circu- 25ЊN. lation can advect cold dry air over the adjoining ocean, The contribution of wind speed and moisture to the creating large upward heat ¯ux anomalies. The southern latent heat ¯ux anomalies are analyzed by decomposing center located far from land and at the terminus of the these variables in (2) into their mean and anomalous northerly winds appears to be more directly related to parts: the anomalous circulation. A negative Q Q center Јshϩ Ј lh QЈϭ␳cL[U ⌬qЈϩ(UЈ⌬q ϩ (UЈ⌬qЈϪUЈ⌬qЈ)], (4) is found to the east of the low in the Paci®c but to the lh e northeast of the low in the Atlantic; this difference is where ⌬q ϭ qsat Ϫ qair and the archived values of U and likely shaped by the geometry of the basins, since open qair have been used to calculateQlhЈ . The local regression water is found to the northeast of the basepoint only in values of U⌬qЈ and UЈ⌬q, multiplied by ␳ceL onQlhЈ , the Atlantic. The anomaly patterns obtained from the are shown in Fig. 12; as withQshЈ , the covariance term composite analyses at 0 lag resemble the leading EOF (UЈ⌬qЈϪUЈ⌬qЈ) is not shown since its contribution to of 10±30-day ®ltered QshЈ ϩ QЈ lh (not shown) over the QlhЈ is much smaller than the other two terms. The gen- North Paci®c and Atlantic Oceans. eral pattern of both U⌬qЈ and UЈ⌬q are similar to their NOVEMBER 1997 ALEXANDER AND SCOTT 2973

FIG. 11. Local regression values of ␳cHcp times (a) U⌬TЈ and (b) FIG. 12. Local regression values of ␳ceL times (a) U⌬qЈ and (b)

UЈ⌬T onQshЈ . The unitless values represent the fraction ofQshЈ related UЈ⌬q onQlhЈ . The unitless values represent the fraction ofQlhЈ related to the thermal and wind speed anomalies at that grid point. Contour to (a) moisture and (b) wind speed anomalies at that grid point. interval is 0.1 and values between 0.5±0.6 are shaded light, while Contour interval and shading as in Fig. 11. those greater than 0.6 are shaded dark.

over the Gulf stream, but the ¯ux anomaly associated sensible heat ¯ux counterparts. However, the term re- with UЈ⌬T ϩ UЈ⌬q is smaller in scale and magnitude. In the Paci®c, the pattern of U⌬TЈ and U⌬qЈ (Figs. lated to UЈ has a much greater impact on controlling 11a±13a) closely resembles that of the standard devi- the latent than the sensible heat ¯ux anomalies, since ation of the anomalous meridional wind (␴ of vЈ; Al- ⌬q/qЈϾ⌬T/TЈ. As a result, the fraction ofQЈ associated lh exander and Scott 1996a), as v operating on the strong with UЈ⌬q exceeds 0.5 over all but the northeast quad- Ј mean meridional gradients of air temperature and hu- rant in the Paci®c Ocean and south of 40ЊN in the At- midity creates anomalies in T and q , and thus Q lantic, and it exceeds 0.7 over most of the subtropics air air sh and Q . Using regression and correlation analyses, Cay- in both basins. Since warmer air has a higher saturation lh an (1992) and Alexander and Scott (1996b) found a mixing ratio, ⌬q is 3 to 5 times larger over the sub- strong relationship between vЈ and QЈ ϩ QЈ over the tropical oceans compared with high latitudes, resulting sh lh northern oceans. Like U⌬TЈ and U⌬qЈ, ␴ of vЈ is rel- in a greaterQlhЈ in the subtropics per unit change in UЈ (Cayan 1992). atively large over the Bering Sea and in a band that Following Klein et al. (1995), ``standard anoma- widens as it extends from south of Japan to west of Vancouver Island. Circulation anomalies on both inter- lies'' ofQshЈ associated with U⌬T Ј and with UЈ⌬T are de®ned by the product of the regression values shown in Fig. 11a,b with a ϩ 1␴ change inQЈsh at each grid point. Standard anomalies of U⌬qЈ and UЈ⌬q are com- puted in a similar fashion. The standard anomalies of U⌬T Ј and U⌬qЈ are then added together, as are UЈ⌬T and UЈ⌬q, to represent a typical anomaly in QshЈ ϩ QlhЈ associated with the mean and anomalous wind speed, respectively. While the standard anomalies as- sociated with Qsh and Qlh are computed independently and then summed together, the two are highly cor- related because the amount of moisture in the atmo- sphere over the ocean boundary layer is highly de- pendent on the temperature (e.g., Battisti et al 1995; Alexander and Penland 1996). The standard anoma- lies of U⌬T ЈϩU⌬qЈ exceed 45 W mϪ2 in the South China Sea, Bering Sea, and the northeast Paci®c (Fig. 13a), while UЈ⌬T ϩ UЈ⌬q (Fig. 13b) exceeds 45 W FIG. 13. Standard anomalies of (a)U(⌬TЈϩ⌬qЈ) and (b) UЈ(⌬T Ϫ2 Ϫ2 m in the subtropics and 90 W m to the east of ϩ⌬q), where ⌬T and ⌬q have been multiplied by ␳cHcp and ␳ceL, Japan. In the latter region, ⌬T and ⌬q are large as respectively, to obtain units of W mϪ2. The standard anomalies rep- resent typical QshЈ ϩ Q lhЈ values associated with the (a) mean and (b) cold dry air advected off the continents overrides anomalous wind speed at that grid point. Contour interval is 15 W warm water associated with the Kuroshio current. A mϪ2 and values between 45±90 are shaded light, while those greater similar phenomena appears to occur in the Atlantic than 90 are shaded dark. 2974 JOURNAL OF CLIMATE VOLUME 10 annual and intraseasonal timescales contribute to U⌬TЈ ϩ U⌬qЈ via vЈ. On interannual timescales, the SLPЈ pattern (Fig. 1) indicates that |vЈ| is large over the north and eastern parts of the basin when the Aleutian low is stronger or weaker than normal. On submonthly time- scales, vЈ in the vicinity of cold fronts creates ¯ux anom- alies especially in the northeast Paci®c (Figs. 5, 7c, and

9b,c). While vЈ also contributes to Qsh ϩ QlhЈ through UЈ⌬T ϩ UЈ⌬q, the relatively small mean air-sea tem- perature and moisture difference plus strong mean winds lead it to be more closely associated with U⌬TЈ and U⌬qЈ in the northeast Paci®c. The contribution of wind speed anomalies to the sur- face ¯ux anomalies is strikingly different in the north- west Paci®c, where UЈ⌬T and UЈ⌬q have a signi®cant contribution toQshЈ andQЈ lh , compared with the northwest Atlantic, where these terms have a negligible contri- bution to the ¯ux anomalies (Figs. 11±13). In general,

⌬T (SST Ϫ Tair) Ͼ 5ЊC on the western side of the north- ern oceans. However, the Labrador Current transports very cold water south along the east coast of Canada resulting in cold SSTs and, thus, ⌬T and ⌬q are rela- tively small in the northwest Atlantic. In contrast, there is little ¯ow through the Bering Strait into the Paci®c. In addition, the air over Asia is colder than over North America during winter; the advection of this air out over the oceans by the mean westerlies also contributes to larger ⌬T and ⌬q in the northwest Paci®c compared with the Atlantic.

The three components of Qsh ϩ QЈlh on synoptic times- cales are examined by ®rst time ®ltering the data re- taining periods of 3±10 days and then compositing each component separately based on when the SLPЈϽϪ1␴ at the same Paci®c and Atlantic grid points used in FIG. 14. Composites of the 3±10-day ®ltered components of QshЈ ϩ QlhЈ over the North Paci®c: (a) U(⌬TЈϩ⌬qЈ); (b) UЈ(⌬T ϩ⌬q); and section 3b. The components are given by U(⌬TЈϩ⌬qЈ), (c) the covariance term UЈ(⌬TЈϩ⌬qЈ) Ϫ UЈ(⌬TЈϩ⌬qЈ), where U ( T q), and U ( T q ) U ( T q ), Ј ⌬ ϩ⌬ Ј ⌬ Јϩ⌬ Ј Ϫ Ј ⌬ Јϩ⌬ Ј ⌬T and ⌬q have been multiplied by ␳cHcp and ␳ceL, respectively. The where ⌬T and ⌬q have been multiplied by ␳cHcp and composites are constructed as in Fig. 7b, when SLPЈ at the basepoint Ϫ2 is less than Ϫ1␴. The contour interval is 10 W mϪ2, where negative ␳ceL, respectively, to obtain units of W m . In the Pa- 2 ci®c (Fig. 14), the pattern of U(⌬TЈϩ⌬qЈ) resembles anomalies are dashed and anomalies greater than than 20 W mϪ are shaded dark, while those less than Ϫ20WmϪ2 are shaded light. that of QshЈ ϩ QЈ lh, with negative anomalies ahead of the low (see Fig. 7b) and positive anomalies behind it, and the anomaly centers have a southwest to northeast tilt. This structure is related to the direction of wind anom- center but reinforce each other at the very southern edge alies on either side of the cold front, which extends of the cyclonic circulation. The two terms have similar southwest from the low; east of the front, southerlies patterns and signs relative to the basepoint, regardless advect warm moist air over cold water, resulting in ⌬TЈ of where the basepoint is located; however, U(⌬TЈϩ and ⌬qЈϽ0, while the reverse occurs about 1000±2000 ⌬qЈ) dominates when the basepoint is located in the far km west of the front. In contrast, UЈ(⌬T ϩ⌬q) reaches western part of the ocean basins (not shown). On syn- a maximum just to the south of the low and has a zonal optic timescales, the covariance term is about one-third orientation. Strong SLP gradients in the vicinity of the to one-®fth as large as the other two and acts to reinforce low lead to strong wind anomalies, especially to the U(⌬TЈϩ⌬qЈ) by enhancing the downward (upward) south of the low where the cyclonic circulation acts to heat ¯uxes east (west) of the storm. The relationship enhance the mean westerlies. Near 170ЊE in the sub- between the three components is similar in the Atlantic tropical Paci®c, the westerly wind anomalies oppose the (Fig. 15) in that the U and covariance terms indicate mean trade winds, resulting in a decrease in the wind that the ¯ux anomalies are negative ahead of the low speed and, thus, UЈ(⌬T ϩ⌬q) Ͻ 0. UЈ(⌬T ϩ⌬q) and (see Fig. 8b) and positive behind it, while the UЈ term U(⌬TЈϩ⌬qЈ) have similar magnitudes that reach 70 has positive ¯ux anomalies centered just to the south of WmϪ2 and tend to cancel each other near the low's the low. NOVEMBER 1997 ALEXANDER AND SCOTT 2975

ther by ®ltering the model ®elds retaining periods of 3±10 and 10±30 days. The EOF analyses indicate that the leading mode of SLP interannual variability over the northern oceans are basin-wide features that consist of a single center associated with the strength and position of the Aleutian low in the Paci®c, and a dipole pattern as- sociated with the Icelandic low and Azores high in the Atlantic. The large-scale surface ¯ux anomaly pat- terns are clearly organized by the low-level atmo- spheric circulation associated with the dominant SLP modes in agreement with the observational studies of Cayan (1992a,b) and Iwasaka and Wallace (1995). Surface ¯ux variability on all of the timescales ex- amined is maximized along the north and west edges of both oceans and between Japan and the dateline at ϳ35ЊN in the Paci®c. The pattern of interannual stan-

dard deviation of Qsh ϩ Qlh in the GCM resemble observations (Zhao and McBean 1986; Cayan 1992a), but the magnitude of the simulated anomalies are ϳ20% smaller. The intraseasonal variability in the model is approximately 3±5 times larger than the in- terannual variability in agreement with Cayan's (1992) observational analysis. More than half of the total surface ¯ux variability in winter over most of the North Hemisphere Oceans occurs on timescales of less than 30 days, with ¯uctuations in the 3±10- day band contributing slightly more to the variance than those in 10±30-day band north of the subtropics. Surface ¯ux variability in the 3±10-day time band is clearly associated with midlatitude storms. Alter- nating bands of positive (upward) and negative (downward) surface ¯ux anomalies are associated with a series of high and low pressure systems over FIG. 15. Composites of the 3±10-day ®ltered components of QshЈ ϩ the oceans, with maximum amplitudes on the west QЈ over the North Atlantic: (a) U(⌬TЈϩ⌬qЈ); (b) UЈ(⌬T plus; ⌬q); lh side of both ocean basins. Like disturbances in the 3± and (c) the covariance term UЈ(⌬TЈϩ⌬qЈ) Ϫ UЈ(⌬TЈϩ⌬qЈ), where 10-day band, those in the 10±30-day band have strong ⌬T and ⌬q have been multiplied by ␳cHcp and ␳ceL, respectively. The composites are constructed as in Fig. 8b, when SLPЈ at the basepoint and coherent SLP anomaly centers that propagate is less than Ϫ1␴. Contour interval and shading as in Fig. 14. eastward, where positive (negative) Qsh ϩ Qlh anom- alies are located west (east) of the low's center with magnitudes exceeding 30 W mϪ2. However, the anom- 4. Summary and conclusions alies in the 10±30-day band are centered farther north, are broader in scale, and propagate ϳ3±4 times slower Daily ®elds obtained from a 17-yr GFDL atmo- than the synoptic disturbances. These features bear spheric GCM simulation are used to study surface some resemblance to the slow-moving large-scale cut- sensible (Qsh) and latent (Qlh) heat ¯ux variability and off lows described by Dole and Black (1990) and their relationship to the near-surface atmospheric cir- Black and Dole (1993). They may also re¯ect prop- culation as indicated by the SLP ®eld. The model agating Rossby waves, blocking events, and changes ¯uxes, computed using bulk aerodynamic formula, in the preferred storm tracks. depend on the wind speed and the air±sea temperature The sensible and latent heat ¯ux are proportional and humidity difference. The ocean boundary con- to the product of the wind speed (U) with the ocean± ditions repeat the same climatological seasonal cycle atmosphere temperature (⌬T ) and humidity (⌬q) dif- each year, so Qsh and Qlh, the dominant midlatitude ference, respectively. Thus, surface ¯ux anomalies surface ¯uxes in winter, are not in¯uenced by SST depend on both mean ( ) and anomalous (Ј) condi- variability. We focus on the interannual and intrasea- tions. Here, U(⌬T Јϩ⌬qЈ) is the dominant contributor sonal variability of Qsh and Qlh over the North Paci®c to Qsh ϩ QlhЈ over the northeast Paci®c and much of and North Atlantic Oceans in winter (December±Feb- the Atlantic north of 40ЊN, while UЈ(⌬T ϩ⌬q) dom- ruary). The intraseasonal variability is examined fur- inates in the subtropics, in agreement with Halliwell 2976 JOURNAL OF CLIMATE VOLUME 10 and Mayer (1996), and in the western Paci®c. The the GCM simulation. However, the inclusion of an contribution toQshЈ andQЈ lh due to the covariance be- interactive ocean could in¯uence the magnitude of the tween UЈ and ⌬T Ј or ⌬qЈ is generally smaller than ¯uxes or have subtle effects on the atmospheric cir- the other two terms. Cayan (1992) found that the ¯ux culation. Recent studies by Barsugli (1995), Blade anomalies have a greater dependence on ⌬T Ј and ⌬qЈ (1997), and Bhatt et al. (1997) indicate that the pat- that in our study. Several factors may account for this terns of midlatitude atmospheric variability are nearly disparity including: our calculations are performed unchanged in coupled atmosphere±ocean models, but with daily rather than monthly anomalies; differences the near-surface air temperature variability is en- between the GFDL GCM and observations; and the hanced while the surface ¯ux variability is reduced absence of SST anomalies in our analysis. relative to prescribed SST runs. In coupled runs, the Overall, the relationship between the anomalous at- SST and air temperature come into equilibrium re- mospheric circulation and surface ¯uxes are similar sulting in smaller values of ⌬T Ј and ⌬qЈ, thus re- in the North Atlantic and Paci®c Oceans on the in- ducing QshЈ ϩ QЈ lh especially at periods longer than a traseasonal and interannual timescales examined here. season. However, SST anomalies resulting from oce- Both are dominated by large-scale circulation patterns anic advection, not included in the model studies cited on interannual timescales, although the leading pat- above, could enhance ¯ux variability (Luksch 1996). tern is a monopole in the Paci®c and dipole in the In addition, midlatitude surface ¯ux variability is en- Atlantic. However, the storm track and associated sur- hanced by the atmospheric response to remote SST face ¯ux anomalies are located farther north and their anomalies, such as those associated with El NinÄo axis has a greater southwest±northeast tilt in the At- events (Alexander 1990, 1992; Lau and Nath 1996). lantic compared with the Paci®c. The ¯uxes in the Studies by Lanzante (1983), Palmer and Sun two basins are also in¯uenced by the ocean circulation (1985), and Ting and Peng (1995) suggest that SST via its impact on the mean SST ®eld and by the land± anomalies in¯uence midlatitude storm tracks, which sea distribution. Cold water supplied to the northwest in turn affects the jet stream and stationary wave pat- Atlantic by the Labrador Current has no counterpart terns. While the in¯uence of SST anomalies is com- in the Paci®c. In addition, the continental air, which municated to the atmosphere via the surface heat ¯ux- is subsequently advected eastward over the oceans, is es, possibly by preconditioning the atmospheric en- colder over Asia than North America. Both of these vironment to storm development (Nuss 1989; Kuo et processes result in small ⌬T and ⌬q values at ϳ45ЊN al. 1991), the detailed mechanism of this transfer pro- in the west Atlantic relative to the west Paci®c, and cess remains an open question. In future work, we thus QЈshϩ QЈ lh east of Newfoundland primarily result plan to study the development of storms in response from anomalies in air temperature and humidity since to SST anomalies using GCM simulations and the UЈ(⌬T ϩ⌬q) is small. 4-times daily NCEP Re-analysis. The distribution and magnitude of the surface heat ¯ux anomalies on subseasonal timescales can in¯u- Acknowledgments. 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