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470 JOURNAL OF CLIMATE VOLUME 15

Effects of Penetrative Radiation on the Upper Tropical Circulation

RAGHU MURTUGUDDE AND JAMES BEAUCHAMP Earth System Science Interdisciplinary Center, University of Maryland, College Park, College Park, Maryland

CHARLES R. MCCLAIN NASA Goddard Space Flight Center, SeaWiFS Project Of®ce, Greenbelt, Maryland

MARLON LEWIS Department of , Dalhousie University, Halifax, Nova Scotia, Canada

ANTONIO J. BUSALACCHI Earth System Science Interdisciplinary Center, University of Maryland, College Park, College Park, Maryland

(Manuscript received 23 February 2001, in ®nal form 3 August 2001)

ABSTRACT The effects of penetrative radiation on the upper tropical ocean circulation have been investigated with an ocean general circulation model (OGCM) with attenuation depths derived from remotely sensed ocean color data. The OGCM is a reduced gravity, primitive equation, sigma coordinate model coupled to an advective atmospheric mixed layer model. These simulations use a single exponential pro®le for radiation attenuation in the , which is quite accurate for OGCMs with fairly coarse vertical resolution. The control runs use an attenuation depth of 17 m while the simulations use spatially variable attenuation depths. When a variable depth oceanic mixed layer is explicitly represented with interactive surface heat ¯uxes, the results can be counterintuitive. In the eastern equatorial Paci®c, a tropical ocean region with one of the strongest biological activity, the realistic attenuation depths result in increased loss of radiation to the subsurface, but result in increased surface temperatures (SSTs) compared to the control run. Enhanced subsurface heating leads to weaker strati®cation, deeper mixed layers, reduced surface divergence, and hence less and entrainment. Thus, some of the systematic de®ciencies in the present-day climate models, such as the colder than observed cold tongue in the equatorial Paci®c may simply be related to inaccurate representation of the penetrative radiation and can be improved by the formulation presented here. The differences in ecosystems in each of the tropical are clearly manifested in the manner in which biological heat trapping affects the upper ocean. While the tropical Atlantic has many similarities to the Paci®c, the Amazon, Congo, and Niger Rivers' discharges dominate the attenuation of radiation. In the Indian Ocean, elevated biological activity and heat trapping are away from the equator in the Arabian Sea and the southern Tropics. For climate models, in view of their sensitivity to the zonal distribution of SST, using a basin mean of the ocean color±derived attenuation depth reduces the SST errors signi®cantly in the Paci®c although they occur in regions of high mean SST and may have potential feedbacks in coupled climate models. On the other hand, the spatial variations of attenuation depths in the Atlantic are crucial since using the basin mean produces signi®cant errors. Thus the simplest and the most economic formulation is to simply employ the annual mean spatially variable attenuation depths derived from ocean color.

1. Introduction interactions. These variations are largely controlled by the concentration of light-absorbing pigments associated Variations in the attenuation of visible radiation in with phytoplankton that vary over a wide range of time- the upper ocean alters the vertical distribution of local and space scales. These variations have been investi- heating, and has potential implications for thermal and gated in detail, not only for their in¯uence on the upper- dynamical processes as well as for ocean±atmosphere ocean structure, but also for generating full spectral ra- diance pro®les over a range of oceanic conditions (Den- man 1973; Simpson and Dickey 1981b; Lewis et al. Corresponding author address: Dr. Raghu Murtugudde, ESSIC/ CSS Bldg., University of Maryland, College Park, College Park, MD 1990; Siegel et al. 1995; Ohlmann et al. 1996; Ohlmann 20742. et al. 2000). A potential for positive feedback between E-mail: [email protected] stabilization of the mixed layer due to biological heat

᭧ 2002 American Meteorological Society

Unauthenticated | Downloaded 09/26/21 03:21 PM UTC 1MARCH 2002 MURTUGUDDE ET AL. 471 trapping, which can lead to enhanced strati®cation, and, ing depth of 15 m in a coupled model to demonstrate in turn, to favorable conditions for phytoplankton several improvements in their simulation compared to growth was suggested by Sathyendranath et al. (1991). when the penetrative radiation was completely ignored. While this hypothesis can only be tested in a coupled Schneider et al. (1996) analyzed a coupled GCM run ecosystem model, the in¯uence of light attenuation due to conclude that penetrative radiation was important in to phytoplankton growth on ocean circulation can be their model in maintaining the vertical structure of the studied in ocean general circulation models (OGCMs). western Paci®c warm pool. The OGCM study of Nak- Such modeling studies have either been sophisticated amoto et al. (2000) shows that the seasonal variability solar transmission formulations in a one-dimensional in surface chlorophyll results in seasonally dependent (1D) setting (e.g., Ohlmann and Siegel 2000) or sim- absorption of solar irradiance and heating rate in the plistic representations of penetrative radiation in real- upper ocean. Our simulations are more comprehensive istic three-dimensional (3D) models (e.g., Chen et al. and address dynamical and thermodynamical effects of 1994a; Schneider and Zhu 1998). One recent study in heat trapping by surface chlorophyll in all three tropical an isopycnal OGCM addressed the modulation of SST oceans with realistic interactions between mixed layer by surface chlorophyll (Nakamoto et al. 2000), but with depth variations and surface heat ¯uxes, and also be- relaxation to climatological quantities, and only for the tween mixed layer depths and subsurface variabilities. Arabian Sea. Based on our simulations, we conclude that the spatially Simpson and Dickey (1981a) used a 1D, second-mo- variable annual mean of the attenuation depths derived ment turbulent closure scheme with modi®cation to ac- from satellite ocean color data are suf®cient for cap- count for solar ¯ux divergence. Their investigation of turing the largest part of the heat trapping. the role of downward irradiance in determining the up- The coastal zone color scanner (CZCS) data are only per-ocean structure showed that SST, mixed layer depths accurate enough for a composite annual mean over the (MLDs), diffusivity of heat, and the mean hori- global Tropics and the newly available SeaWiFS ocean zontal velocities were dependent on the particular form color data are not suf®ciently long for computing cli- of solar irradiance divergence and the in¯uence of the matological monthly mean attenuation depths. Some de- vertical pro®le of radiation depended also on the wind tails of the CZCS and SeaWiFS data can be found in speeds. One-dimensional studies such as these have McClain et al. (1993) and McClain et al. (1998). In- been instrumental in driving home the point that proper terannual simulations of the tropical Paci®c with con- representation of solar irradiance is important for ac- stant and spatially variable annual mean attenuation curate computation of SSTs. The simulated pro®les of depths are analyzed to understand the effects of inter- full spectral radiance by Ohlmann and Siegel (2000) annual variability in ecosystems and attenuation depths. show that solar transmission at around 20 m of the ocean Access to routine space-based observations of ocean can exceed 40 W mϪ2 for a surface irradiance of 200 color and optical property data related to attenuation WmϪ2 as predicted by Lewis et al. (1990) and con®rmed depth (McClain et al. 1998) make the present study by Siegel et al. (1995). While these numbers are sig- timely and feasible. ni®cant, state-of-the-art coupled climate prediction The paper is organized as follows. Section 2 contains models, or even stand-alone OGCMs used for process a brief description of the model and the formulation of studies, do not resolve the upper ocean to better than penetrative radiation. Section 3 contains detailed com- an order of ϳ10 m. Layer models such as the one em- parisons of climatological model simulations with var- ployed here only resolve a bulk mixed layer and level iable and constant attenuation depths. Discussion of in- models such as the one used by Schneider and Zhu terannual runs for the Paci®c Ocean and effects of time- (1998) have levels of order 10 m near the surface. Thus, varying attenuation depths are presented in section 4. in a practical sense, especially for climate prediction A summary of results is reported in section 5. models, we only need to worry about solar radiation that escapes the top layer or level of the model. As pointed out by Ohlmann et al. (1998), solar transmission 2. Model ocean in the visible band within the oceanic mixed layer below The ocean model is a reduced-gravity, primitive- 10 m, can be represented with a single exponential pro- equation OGCM con®gured separately for each of the ®le to within 10% accuracy. tropical oceans. It consists of 19 sigma-coordinate layers Our goal is mainly to address the potential for en- beneath a variable-thickness, surface mixed layer (Chen hancing the simulation of tropical SSTs and in turn, et al. 1994b). Surface heat ¯uxes are determined by ENSO prediction models via improved representation coupling a simple model of the atmospheric boundary of vertical pro®les of solar radiation without incurring layer to the OGCM and freshwater forcing is included excessive computational costs. We thus focus on the as a natural boundary condition. Model details are pre- Tropics and investigate a single exponential pro®le with sented in Murtugudde et al. (1996, 1998) and Murtu- constant attenuation depth and compare it to model sim- gudde and Busalacchi (1999). Model , temper- ulations with spatially variable attenuation depths de- ature, and layer thicknesses are relaxed to Levitus rived from satellite ocean color data. Schneider and Zhu (1994) data near the open southern and northern bound- (1998) used a single exponential pro®le with an e-fold- aries. For our control run, the model is forced by Heller-

Unauthenticated | Downloaded 09/26/21 03:21 PM UTC 472 JOURNAL OF CLIMATE VOLUME 15 man and Rosenstein (1983) winds, Xie and Arkin (1995) precipitation, International Satellite and Cloud Clima- tology Project (ISCCP) cloudiness, and Earth Radiation Budget Experiment (ERBE) all-sky radiation. Due to a lack of suf®ciently long time series of reliable cloudi- ness and solar radiation data, climatological ERBE ra- diation and ISCCP cloudiness are used in the interannual simulations to determine surface heat ¯uxes (also see Hackert et al. 2001). The 10-m winds from the National Centers for Environmental Prediction reanalyses (Kal- nay et al. 1996) winds with a drag coef®cient of 0.0015 are used to construct wind stresses for the interannual simulations and wind speeds for latent and sensible heat ¯uxes are also computed from the 10-m winds. The Paci®c Ocean extends over 30ЊS±30ЊN, 124ЊE± 76ЊW with a resolution of 1Њ in longitude and a stretched FIG. 1. Attenuation depths derived from annual mean CZCS pig- grid in latitude (1/3Њ within 10ЊS±10ЊN and 1Њ near the ment data based on Morel (1988). The attenuation is higher and hence boundaries). The Atlantic covers 40ЊS±40ЊN, 90ЊW± attenuation depths are lower in biologically active regions. The oli- 14ЊE with 1/2Њ longitudinal resolution and stretched lat- gotrophic subtropical regions have the largest attenuation depths in itudinally (1/3Њ within 10ЊS±10ЊN and 1Њ near the bound- the Tropics. aries). The Indian Ocean has uniform 1/2Њϫ1/3Њ res- olution over 30ЊS±26ЊN, 32ЊE±126ЊW. Further details the losses) contributing to local heating. In our previous are not presented here since similar con®gurations have studies of oceanic processes, a single exponential pro®le been used in our previous studies reported in Murtu- was used as the empirical form for the penetrative com- gudde et al. (1996), Murtugudde and Busalacchi (1998), ponent of the solar irradiance (Chen et al. 1994a; Mur- and Hackert et al. (2001). The model performance in tugudde et al. 1996, 1998; Murtugudde and Busalacchi terms of simulations of SST, currents, and 1999; Murtugudde et al. 1999), namely, I(z) ϭ I(0) ϫ structure are reasonable for the control runs as reported ␥ ϫ exp(Ϫz/h␥ ). Here, I(z) is the pene- in earlier papers. The purpose here is not to demonstrate trating solar irradiance at a given depth z (positive down- further improvements in model performance although ward). The value h␥ represents the e-folding depth scale annual mean model SSTs are compared to Levitus SSTs for the penetration of irradiance over the penetrative to determine if basin mean values for attenuation depths wave bands (380±700 nm); it is the inverse of the spec- can be employed in climate models to simplify the for- trally averaged diffuse attenuation coef®cient (KD). mulation of penetrative radiation. It is shown that while Strictly, it is more accurate to use a full spectral ap- this appears to be reasonable in the Paci®c, using the proach (e.g., Lewis et al. 1990; McClain et al. 1999), basin mean attenuation depth does degrade SST simu- but the increase in accuracy is offset by the signi®cantly lation in the Atlantic at the mouths of Congo and Niger increased computational load imposed by hyperspectral Rivers. decomposition of the absorption of solar irradiance Solar radiation impinging just below the surface of when implemented in a 3D OGCM context. the ocean [I(0)] consists of energy distributed across a Based on Chen et al. (1994a), our previous studies wide spectral range. For wavelengths longer than 700 employed ␥ ϭ 0.33 and h␥ ϭ 17 m. Here, ␥ ϭ 0.47 nm, the ocean is strongly absorbing, and these wave- for all experiments as explained above. Our control runs lengths contribute to heating the upper few centimeters. were done with the h␥ ϭ 17 m and these runs are com- For shorter wavelengths, the ocean is more transparent, pared with runs where h␥ is computed from annual mean and solar energy crossing the air±sea interface propa- CZCS data (Fig. 1). To estimate h␥ from the retrieved gates to depths where it contributes to a penetrating ¯ux pigment concentration, we take h␥ ϭ 1/KD where we of solar energy and to local heating at depths removed assume KD can be represented as in Morel (1988) as KD from the surface. The fraction of total solar ¯ux that ϭ 0.027 ϩ 0.0518 ϫ CHL0.428. In this formulation, the Ϫ1 resides in these penetrative wavebands is approximately coef®cient 0.027 m is that of pure ocean water (h␥ ϭ 47% (Frouin et al. 1989). This value varies slightly de- 37 m), and CHL is the CZCS-derived pigment concen- pending on atmospheric aerosols, but these variations tration. This formulation was originally developed to are relatively small especially for the problem addressed model the integral photon ¯ux over the same wavebands here. This fraction we designate as ␥, and assume it to as we are interested in here. We have assumed that this be constant for our model runs below. The remaining formulation is suf®ciently accurate for simulations of fraction (1 Ϫ ␥) is fully absorbed in the upper layer of the penetration of energy given the relatively small spec- the model ocean. tral variations over the relatively clear-water open ocean The penetration of solar irradiance follows an ex- regions of interest. ponential decline with depth, with the derivative (e.g., The annual mean h␥ is as low as ϳ5 m in regions of

Unauthenticated | Downloaded 09/26/21 03:21 PM UTC 1MARCH 2002 MURTUGUDDE ET AL. 473 elevated biological activity such as the coastal and open ocean upwelling regions, and above 30 m in the oli- gotrophic subtropical gyres. The constant value of h␥ ϭ 17 m is a good approximation for the global mean of Fig. 1, but clearly not representative of any particular region or basin. The differences between CZCS-derived attenuation depths and the constant value of h␥ ϭ 17 m are shown in Fig. 2. The CZCS values are deeper than 17 m in the Paci®c nearly everywhere except in the eastern coastal regions. In the Atlantic, the mouths of the Amazon, Congo, Niger, and Orinoco are clearly seen as regions with attenuation depths shallower than 17 m as are the upwelling regions of the Guinea and Angola domes. The Indian Ocean also has attenuation depths shallower than 17 m in biologically active re- gions such as the coastal regions and the Arabian Sea. The simulations with variable attenuation depth are referred to as PACVAR, INDVAR, and ATLVAR for the Paci®c, Indian, and the Atlantic Oceans, respec- tively.

3. Results a. Effects of neglecting penetrative radiation Chen et al. (1994a) compared the SST and its seasonal cycle along the equator with and without penetrative radiation to argue that when penetrative radiation was neglected there was excess warming during the weak wind conditions of the boreal spring months. Schneider and Zhu (1998) compared a coupled model simulation with and without penetrative radiation. As stated earlier they used a constant attenuation depth of 15 m with a ␥ ϭ 1. In the equatorial Paci®c, they found that the penetrative radiation led to deeper mixed layers and reduced sensitivity of SSTs to upwelling. Our results are similar in that the subsurface strati®cation does weaken leading to deeper mixed layers and a more re- alistic cold tongue except in the far east near the coast (Fig. 3). The differences in SST and net heat ¯uxes between the control run and a simulation neglecting the penetrative radiation show that the surface ¯uxes tend to damp the SST differences. As expected, the effects of penetrative radiation are maximum in the upwelling season (July±September). The minimum depth of the mixed layer in Schneider and Zhu (1998) was effectively 30 m (top two levels), and thus the wind forcing was independent of MLD for mixed layer shallower than 30 m. This is crucial in the eastern equatorial Paci®c and Atlantic Oceans where the MLDs are shallower than 30 m except when the trades are at their maximum during the boreal summer months. FIG. 2. Differences in attenuation depths derived from CZCS data Since our model is forced with speci®ed winds, the and the constant depth (17 m) assumed for the control run for the warming of the water column below the mixed layer (top) Paci®c, (middle) Atlantic, and (bottom) Indian Oceans. leads to a weakening of the strati®cation and a rapid deepening of the mixed layer and reduced surface di- vergence. The ensuing weaker upwelling leads to warm- ing of the SSTs despite the loss of radiation to the sub-

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FIG. 4. Annual mean differences between model and Levitus SSTs

for the control run (h␥ ϭ 17 m). Like most state-of-the-art models forced with observed winds, the cold tongue is colder than observed. Signi®cant warming in this region is achieved by using spatially variable attenuation depths.

Note however that as pointed out by Schneider and Zhu (1998), the strong coupling between the equatorial zonal winds and off-equatorial SST is not represented here and will alter the feedbacks found in our simulations. Nonetheless, our simulations highlight the need for con- sidering ®ner vertical resolution with penetration of mo- mentum and solar irradiance to accurately capture all the feedbacks in regions like the eastern equatorial Pa- ci®c.

b. Effects of variable attenuation depths The results are presented as annual mean and seasonal differences between the simulations with spatially var- FIG. 3. Seasonal cycle of the differences in SST between the control and a simulation where subsurface penetration of shortwave radiation iable attenuation depths (Fig. 1) and control runs with is not allowed. The contours show differences in surface heat ¯uxes. constant attenuation depth of h␥ ϭ 17 m. The value of ␥ is set to 0.47 for all runs based on Frouin et al. (1989). surface when penetrative radiation is accounted for. 1) PACIFIC OCEAN SIMULATIONS Thus the response to biological heat trapping is stronger in our model. For example, even though a constant at- The annual mean differences between model and Lev- tenuation depth is employed in the control run, the ef- itus SSTs are shown in Fig. 4. As is the case for most fects of penetrative radiation are maximum in the up- state-of-the-art OGCMs (Stockdale et al. 1994), the cold welling season when the phytoplankton concentrations tongue is colder than observed by nearly 2.5ЊC. A band and their effect on heat trapping are maximum. of colder than observed SSTs also extends across the In a coupled climate model, the SST changes in the basin around 15ЊN which maybe related inadequacies cold tongue region can potentially lead to a positive of the model or errors in the winds, radiation, or cloud- feedback since warmer eastern Paci®c would result in iness. Since the corrective ¯uxes required to correct a reduced east±west SST gradient and weaker winds. A these SSTs errors are well within the errors in the surface reduction in upwelling would reduce the nutrient supply ¯uxes used to force the model, it is not possible to and diminish the biological response as is the case dur- unambiguously place the blame on model de®ciencies. ing warm ENSO events. Employing observed surface The outcropping and thinning of the shallow isopycnals chlorophyll distributions to derive the attenuation depths in the upwelling region during the boreal summer leads would presumably account for the feedbacks that are to excess supply of cold water near the surface during involved in producing the observed ecosystem response. the following boreal spring since most models fail to

Unauthenticated | Downloaded 09/26/21 03:21 PM UTC 1MARCH 2002 MURTUGUDDE ET AL. 475 restratify the water column. The excessive cooling in the cold tongue region is generally alleviated by reduc- ing the Hellerman and Rosenstein (1983) winds by an arbitrary amount or the vertical mixing is tuned to im- prove simulated circulation in the region (e.g., Yu and Schopf 1997). The annual mean differences in surface temperatures and currents between PACVAR (spatially variable h␥ ) and the control run (h␥ ϭ 17 m) for the Paci®c are shown in Fig. 5. The SST warming is as high as 1ЊC for the equatorial Paci®c cold tongue region. It is quite evident that the large region of colder than observed SSTs in the eastern equatorial and coastal region is greatly alleviated by employing the correct attenuation depths. During the boreal spring months when the MLDs are at their minimum (Chen et al. 1994a; Mur- tugudde et al. 1996) and entrainment is also at its min- imum due to weakening of the trades, the subsurface warming is maximum. The restrati®cation of the water column below the mixed layer is thus simply achieved by the subsurface heat source provided by the pene- trating radiation. It is important to note that no ®ne- tuning of the vertical mixing needs to be resorted to when the vertical distribution of solar energy is properly represented. It is thus clear from Fig. 5 that the colder- than-observed cold tongue that plagues most OGCMs (Stockdale et al. 1994) may simply be related to the errors in the formulation of penetrative radiation. The surface and subsurface current differences show that the equatorial divergence and the upwelling are diminished and the South Equatorial Current (SEC) is weakened. In the Paci®c, the available radiation below the mixed layer is higher for PACVAR that clearly leads to warmer subsurface temperatures as seen in Fig. 5. Note also that a deeper mixed layer results in weaker surface currents and reduced equatorial divergence, which further enhances the surface warming and the weakening of strati®cation. The off-equatorial SST er- rors are clearly not affected as much since there is no wind feedback in our model (Schneider and Zhu 1998). The of saline central Paci®c waters around 160ЊW is enhanced in Fig. 5, which may contribute to maintaining the barrier layer structure in the western Paci®c warm pool region (Lukas and Lindstrom 1991; Murtugudde and Busalacchi 1998). The role of the bar- rier layer in the supply of nutrients to the euphotic zone in the warm pool has been conjectured to be important (Mackey et al. 1995; McClain et al. 1999; Murtugudde et al. 1999). More studies with coupled biophysical models are needed to understand whether radiative trap- ping due to biology in the east and associated dynamic changes really contribute to the barrier layer structure in the west. The middle panel of Fig. 5 shows that most FIG. 5. (top) Annual mean differences in surface currents (vectors: of the warming occurs below the mixed layer and is cm sϪ1; scale is located in lower left corner of top panel) and tem- caused by dynamic changes associated with penetrative peratures (colors) for variable and constant attenuation depths, (cen- ter) differences of temperatures (color) and zonal/vertical currents (m radiation rather than direct warming due to the radiation dayϪ1; no scale given) along the equator, and (bottom) mixed layer itself. That is, the slight warming below the mixed layer depth differences for the tropical Paci®c. by the penetrative radiation and the consequent weak-

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FIG. 6. Pro®les of (left) radiation and (right) temperatures with depth at locations shown. The dashed lines are annual mean mixed layer depths for constant (blue) and variable (red) attenuation

depths. The Hp values indicate attenuation depths at those locations. ening of the strati®cation leads to dynamic feedbacks The bottom panel of Fig. 5 shows the annual mean described above that further enhance the subsurface MLD differences for the tropical Paci®c. As mentioned warming. The advective timescales thus dominate the above, the MLDs are deeper for PACVAR in the cold heating timescale leading to larger effects on the thermal tongue region. Surprisingly, the MLDs are also deeper structure as noted by Schneider and Zhu (1998). in the relatively weak wind regions of the western Pa- A vertical pro®le of the radiation for the control run ci®c warm pool in the ITCZ and South Paci®c conver- and PACVAR can be instructive in understanding the gence zone regions. The inadequacy of the formulation subsurface effects of penetrative radiation. The top pan- of TKE generation is often blamed for shallower than el of Fig. 6 shows the pro®les at 129ЊW on the equator. observed mixed layer depths in these regions (e.g., Mur- For a given depth, PACVAR has higher penetrative ra- tugudde et al. 1996) while proper representation of pen- diation than the control run at all depths. This leads to etrative radiation may be the major cause of the model more warming at that depth and hence weaker strati®- de®ciency. cation. Since the wind forcing is the same in both runs, The accompanying SST differences in these regions the available turbulent kinetic energy (TKE) leads to are however much smaller than in the cold tongue due deeper MLDs in PACVAR, and thus the surface currents to smaller available surface heat ¯uxes and also due to weaken and the surface divergence diminishes. The the negligible surface effect of subsurface changes. warming shifts the temperature pro®le nearly uniformly These small SST differences could still be signi®cant down to 100 m. Note that the control run employed a since the mean SSTs in these regions are near the thresh- shallower attenuation depth in the cold tongue region old of atmospheric convection. Lewis et al. (1990) es- than that computed from CZCS (Fig. 2). Most models timated the effects of penetrating solar radiation on the typically employ a number in this range [e.g., Schneider heat budget of the equatorial Paci®c. Using transparency and Zhu (1998) used 15 m and Nakamoto et al. (2000) of the ocean computed from CZCS and mixed layer used 23 m]. depths estimated from ship observations, they conclud-

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ing (Pacanowski and Philander 1981) but the minimum depth is effectively equal to the depth of top two levels (30 m). Their Fig. 9 clearly shows deepening of the MLDs due to penetrative radiation even though the dif- ferences are less than 5 m and the annual mean SSTs are colder over most of the eastern equatorial Paci®c despite the large increase in subsurface heating. This could simply be due to a lack of vertical resolution and the fact that the minimum MLD was 30 m whereas the MLD variability in this region is between 5 and 30 m. As stated earlier, it is also possible that the feedbacks between the equatorial zonal winds and the off-equa- torial SSTs may explain the differences. It is thus im- portant to use a coupled model not only with variable attenuation depths, but also with realistic variable mixed layer depths in order to allow feedbacks between mixed layer variations, surface ¯uxes, and subsurface strati- ®cation.

2) SIMULATIONS The annual mean differences in surface temperatures and currents for the Atlantic Ocean are shown in Fig. 8. There are some similarities in the SST and current changes in the Paci®c (Fig. 5) and the Atlantic Oceans FIG. 7. Annual mean net surface heat ¯uxes and penetrative ra- since both of them have seasonal surface phytoplankton diation losses in the western equatorial Paci®c for the (top) control run and for the (bottom) simulation with variable attenuation depths. blooms caused by equatorial upwelling. Note however Nearly all net downward ¯ux is lost to the subsurface as penetrative that the Atlantic is also affected by the radiation atten- radiation in the bottom panel, which is signi®cant for the heat balance uation at the mouths of Congo and Niger Rivers in the of this important region of warm SSTs and atmospheric convection. east that could be due to suspended and dis- solved organic matter. The Atlantic Ocean displays slightly stronger subsurface warming, especially near ed that most of the net surface heat ¯ux is lost below the eastern coast. Westward surface currents are weaker the mixed layer as penetrative radiation. This is signif- to the east of 25ЊW, but stronger to the west of 25ЊW. icant since the heat balance and the mechanisms for SST Similarly, upwelling is reduced around 10ЊW, but the regulation in the western Paci®c warm pool are still an mean downwelling is enhanced to the west of 30ЊW. open question (e.g., Ramanathan and Collins 1991; Fu The reasons for a weaker South Equatorial Current et al. 1992). (SEC) in the western equatorial Atlantic are less Annual mean surface heat ¯ux and the penetrative straightforward. The eastern equatorial Atlantic has fair- radiation for the western Paci®c are shown in Fig. 7 for ly shallow attenuation depths due to Congo and Niger the control run and for PACVAR. It is evident that the River plumes, which trap radiation, that serve to shallow loss of penetrative radiation is signi®cantly higher in the mixed layer (Fig. 8). This leads to strengthening of the warm pool region for PACVAR and most of the net the local eastward surface currents and the shallow ¯ux is indeed lost to the subsurface. The loss of radiation downwelling near the coast (Philander and Pacanowski to the subsurface removes the heat from the layer that 1986), leading to subsurface warming despite lowered interacts strongly with the atmosphere and points to the penetrative radiation. An increase in the penetrative need for revisiting the detailed heat budget calculations losses in the western half of the equatorial region leads of the warm pool (Gent 1991) with accurate represen- to substantial subsurface warming there leading to deep- tation of the penetrative radiation losses. ening of the mixed layer similar to the Paci®c cold While the deepening of the mixed layer due to pen- tongue region. The currents on the equator to the west etration of solar radiation to greater depths was noted of 25ЊW tend to be weakly eastward associated with a by Denman (1973), our result is rather counterintuitive. minimum in the SEC (Philander and Pacanowski 1986), That is, a greater loss of radiation from the mixed layer which are weakened by deeper MLDs. Thus the weaker leads to warmer SSTs because of weaker strati®cation, eastward currents and increased downwelling lead to deeper mixed layers, and reduced upwelling. The deep- local deepening of the thermocline to the west of 25ЊW, ening of the mixed layer due to weakened strati®cation which enhances the subsurface warming in the west is captured in the level model in Schneider and Zhu (Fig. 8, middle panel). Thus the surface and the sub- (1998) by employing a Richardson number±based mix- surface temperature differences are warmer in the east

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and west due to different processes. The differences in the structure of the equatorial undercurrent (EUC) and the thermocline slope in each of the oceans (Philander and Chao 1991) is clearly manifest in the way they are affected by enhanced heating due to penetrative solar radiation. The change in thermocline slope centered around 25ЊW seen in the Atlantic (Fig. 8) is related to the seasonal response to winds with a small fetch (Phi- lander and Chao 1991). The bottom panel of Fig. 8 shows that the MLDs are shallower in the Guinea and Angola domes in addition to the mouths of the Amazon, Orinoco, Congo, and Niger Rivers. Shallower attenuation depths in ATLVAR (Fig. 2) increase the amount of radiation trapped near the surface and lead to shallower mixed layers. Deeper mixed layers in the western equatorial region just out- side of the Amazon River discharge are caused by in- creased downwelling mentioned above. The interactions of radiation trapping and ocean circulation are clearly more complex in the tropical Atlantic not only due to biological activity, but also due to turbidity associated with riverine inputs. The pro®les of radiation at 5ЊE on the equator (bottom panel of Fig. 6) show that ATLVAR traps more radiation near the surface, which is quite the opposite of the Pa- ci®c (top panel of Fig. 6). The subsurface warming is also different with less warming immediately below the mixed layer in the Atlantic. Note, however, that the subsurface warming in the Atlantic is con®ned largely to the east and west away from the main central equa- torial upwelling region whereas in the Paci®c the max- imum subsurface warming is around the region of max- imum equatorial upwelling (around 120ЊW). The dif- ferences between the control run and ATLVAR in the pro®les of radiation are much higher than in the Paci®c (top panel of Fig. 6) with the mixed layer being shal- lower in ATLVAR compared to the control run.

3) INDIAN OCEAN SIMULATIONS The warming in the Indian Ocean due to biological heat trapping (Fig. 9) occurs away from the equator, but also in the regions that are known to be biologically active (Banse and McClain 1986; Murtugudde et al. 1999); namely, the Arabian Sea, around Sri Lanka, and in the southern tropical Indian Ocean. The local up- welling and the associated ecosystem response at the southern tip of India are shown in Murtugudde et al. (1999). This is the region where a monsoon onset vortex forms annually (Rao and Sivakumar 1999) and an ac- curate simulation of SST in the region is important. The proximity of the thermocline to the surface due to large- FIG. 8. (top) Annual mean differences in surface currents (vectors) scale wind stress curl and the associated Ekman pump- and temperatures (colors) for variable and constant attenuation depths, (center) differences of temperatures (color) and zonal/vertical ing in the southern tropical Indian Ocean (Reverdin et currents along the equator, and (bottom) mixed layer depth differences al. 1986) does not always manifest itself in SSTs (Mur- for the tropical Atlantic. Scale and units for currents as in Fig. 5. tugudde and Busalacchi 1999). However, the intermit- tent entrainment of nutrients is seen as a region of sur- face phytoplankton bloom (Murtugudde et al. 1999) and

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this clearly affects surface heat trapping due to atten- uation of incident radiation (top panel of Fig. 9). The warming in the Indian Ocean is typically less than 0.5ЊC in the annual mean, but higher in some seasons as shown later. As in the western Paci®c warm pool region, the mean SSTs in the Indian Ocean are high and even small SST increases can be climatically signi®cant. The subsurface temperature differences in the Ara- bian Sea are minimal as can be inferred from Fig. 6 (middle panel). The MLDs are shallower for INDVAR (bottom panel of Fig. 9) as in the Atlantic and thus more radiation is trapped near the surface. But the differences in MLDs and radiation pro®les with depth in the Arabian Sea are not as large as in the Atlantic. The MLDs are typically much deeper (ϳ60 m) than the attenuation depths in the Arabian Sea and thus the differences in the radiation escaping the mixed layer depth is minimal between the control run and INDVAR. The river mouths in the Bay of Bengal are demarcated by shallower MLDs and slightly warmer SSTs. The effects of freshwater input and surface heat trapping in the Bay of Bengal appear to be minimal compared to that in the Atlantic Ocean, which is consistent with recent observations and modeling studies (D. Sengupta 2000, personal com- munication; Howden and Murtugudde 2001; Han et al. 2000). Surface current changes include a weaker eastward equatorial Wyrtki jet, stronger northward Somali jet, and a stronger SEC in the southern tropical Indian Ocean. Slightly stronger alongshore currents along the coast of Sumatra and the associated cooling of SSTs can poten- tial be important since this region has a warm pool±like characteristic with warm SSTs and a barrier layer struc- ture (Murtugudde and Busalacchi 1999). Note also that this is the region of signi®cant upwelling and surface cooling during anomalous Indian Ocean events (Mur- tugudde et al. 1999, 2000). The equatorial Indian Ocean is dominated by the strong semiannual Wyrtki jets (Wyrtki 1973), which produce a convergence and downwelling in the east leading to a deeper mixed layer. The attenuation depths in the control run (17 m) are typically shallower than in INDVAR except close to the coasts and in the Arabian Sea (bottom panel of Fig. 2). The MLDs respond by deepening in the equatorial and southern tropical Indian Ocean similar to the Paci®c. Note however that the SST differences on the equator are near zero or slightly neg- ative because in the Indian Ocean, while deeper MLDs lead to weaker surface currents, the mean currents are eastward. The weaker Wyrtki jets and diminished down- welling in the east lead to cooling of the surface layer. FIG. 9. (top) Annual mean differences in surface currents (vectors) But the temperatures are warmer in the thermocline re- and temperatures (colors) for variable and constant attenuation gion because the west to east slope of the thermocline depths, (center) differences of temperatures (color) and zonal/vertical currents along the equator, and (bottom) mixed layer depth differences is relaxed due to weaker eastward surface currents. The for the tropical Indian Ocean. subsurface current structure along the equator is more complex in the Indian Ocean compared to the Paci®c and Atlantic Oceans. The differences in the currents also

Unauthenticated | Downloaded 09/26/21 03:21 PM UTC 480 JOURNAL OF CLIMATE VOLUME 15 display complex east±west structure below the mixed layer (middle panel of Fig. 9). The surface and subsurface currents in the Indian Ocean display seasonal reversals due to the monsoon wind variations from the southwest to the northeast monsoon. Thus, annual mean differences can hide much larger seasonal effects in the Indian Ocean. Nakamoto et al. (2000) report from their OGCM experiments that the heating rate in the upper ocean in the Arabian Sea displays seasonality due to variability in surface chlo- rophyll concentrations. Nakamoto et al. (2000) used an isopycnal model with h␥ ϭ 23 m for the control run and the monthly mean CZCS-derived attenuation depths for the simulation. The surface heat ¯uxes were spec- i®ed and surface salinity was relaxed toward Levitus annual mean values. The seasonal cycle of the solar radiation is characterized by minima during southwest and northeast monsoons and maxima during intermon- soon periods (see Fig. 3 of Nakamoto et al. 2000). The seasonality of the surface chlorophyll concentrations shows a strong boreal summer peak in the Somali Cur- rent region and two weaker peaks in the Arabian Sea during the two monsoons. Our results for seasonal differences in SST due to biological heat trapping are shown in Fig. 10, which are nearly identical to the results of Nakamoto et al. (2000). Maximum warming of about 0.6ЊC occurs during March±April with a slight cooling during July±August. A slightly smaller warming is seen during October through January. The small differences between Fig. 10 and Fig. 2 of Nakamoto et al. (2000) can easily be explained by the differences in the constant attenuation depth (our 17 vs their 23 m) and the differences in FIG. 10. Seasonal differences in SST along 20ЊN in the Arabian surface heat ¯ux formulations. The more important Sea between simulations with variable and constant attenuation thing is to note that the seasonality and the magnitude depths. Even though annual mean attenuation depths are used, the of warming can be simulated fairly accurately even by seasonality of the biological heat trapping can be reproduced. using annual mean attenuation depths. This is important for computational ef®ciency in coupled climate models. ATLVAR, and INDVAR are compared to simulations with these basin mean attenuation depths (called runs PACB1, ATLB1, and INDB1) in Fig. 11 in terms of 4. Simulations with basin mean attenuation depths annual mean SSTs and surface currents. The previous sections have demonstrated that pene- In the Paci®c Ocean, the largest SST differences in tration of shortwave radiation can indeed affect the up- Fig. 5 were seen in the cold tongue region where the per-ocean circulation, especially SSTs. A recommen- attenuation depth from Fig. 1 is about 20 m. Increasing dation can be made at this stage that coupled climate the attenuation depth to 25 m hardly has any effect (top models or modeling studies that aim to understand pro- panel of Fig. 11) on SSTs or subsurface temperatures cesses that control SSTs should use accurate attenuation (not shown). There is a cooling of nearly 0.5ЊC off the depth distributions. It is worth exploring however, if coast of Central America in the eastern Paci®c ITCZ basin mean values of Fig. 1 can be used instead, to region that can be signi®cant since this is a region of further simplify the formulation of penetrative short- high mean SSTs. The rest of the Tropics is not signif- wave radiation. This would be more accurate than the icantly affected by employing a basin mean attenuation global mean number of 17 m used in the control runs. depth. The sensitivity to changes in attenuation depths For this purpose, we carried out climatological simu- is much higher when the attenuation depth is close to lations in each basin with mean values for the domains the thermocline region as was the case when h␥ ϭ 17 (30Њ±30ЊS for the Paci®c, 40ЊS±40ЊN for the Atlantic, m was changed to h␥ ϭ 20 m near 129ЊW on the equator and 30ЊS±26ЊN for the Indian Ocean, respectively) of (top panel of Fig. 6). The seasonal evolution of the 25, 20, and 21.5 m, for the Paci®c, Atlantic, and Indian differences in temperature versus depth at 129ЊWonthe

Oceans, respectively. The simulations PACVAR, equator between PACVAR (variable h␥ ) and the control

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FIG. 12. Temperature differences at 129ЊW on the equator (top) between the simulation with spatially variable attenuation depths and the control run, and (bottom) between the simulation with spatially variable attenuation depths and the basin mean attenuation depth. The white (black) line in each panel denotes the mixed layer depth for the variable (constant) attenuation depth run.

run (h␥ ϭ 17 m) and between PACVAR and PACB1 (h␥ ϭ 25 m) are shown in Fig. 12. It should be kept in mind that these differences are between equilibrium so- lutions with the two attenuation depths and not the evo- lution of the differences. These differences shown at one location also include the effects of the 3D circu- lation changes. Thus the dynamic effects from regions

east of 129ЊW where the h␥ are over 23 m affect the location shown in Figs. 6 and 12. At 129ЊW, the mixed layer shoals to about 15 m in the control run during March±April, whereas it only FIG. 11. Annual mean differences in surface currents (vectors) and shallows to about 19 m in PACVAR (Fig. 12). When temperatures (colors) between simulations with variable and basin mean attenuation depths for the (top) Paci®c, (center) Atlantic, and the two runs are spun up, they are both started from the (bottom) Indian Oceans. Scale and units for surface currents as in same initial conditions based on Levitus (1994). The Fig. 5. tendency of the model is to generate excess shoaling of the thermocline in the east. In the control run, the heat

Unauthenticated | Downloaded 09/26/21 03:21 PM UTC 482 JOURNAL OF CLIMATE VOLUME 15 trapping is below the mixed layer but above the main thermocline during early part of the calendar year whereas for PACVAR, it is in the main thermocline. Thus the strati®cation is weaker for PACVAR during April±June leading to deeper mixed layers and the feed- back described previously. While the exact sensitivity to changes in the attenuation depths in terms of the amplitude of the subsurface and SST warming are clear- ly dependent on the vertical resolution of the model, the feedbacks should be acting in the same sense for all models that tend to produce colder than observed cold tongue. The weakened strati®cation in April±May leads to subsurface warming of over 1.5ЊC in PACVAR that fur- ther affects its evolution during the fall months and leads to SST warming of over 1ЊC in late-September. The differences between PACVAR and PACB1 show that the weakening of the strati®cation and the associated subsurface warming are far less dramatic since the heat- ing below the mixed layer is not altered signi®cantly by changing, h␥ from 20 to 25 m. There is still some subsurface warming for PACB1 compared to PACVAR and it does lead to deeper MLDs in the fall. However, the water being entrained into the mixed layer is not altered much, leading to similar net surface heat ¯uxes. The slightly deeper PACB1 thus warms a little less than PACVAR. FIG. 13. Annual mean differences between model and Levitus SSTs for simulations with (top) basin mean and (bottom) variable atten- The Indian Ocean (bottom panel of Fig. 11) is also uation depths. Model SST errors are lower in the eastern equatorial nearly unaffected by using a basin mean attenuation Atlantic for variable attenuation depths. depth albeit seasonal SST differences can be slightly larger. The largest differences in SSTs in Fig. 11 are seen in the Atlantic Ocean, again at the mouths of the and Chavez 1983) with diminished (enhanced) chloro- Congo and Niger Rivers. The attenuation depths from phyll concentrations in the cold tongue during warm Fig. 1 in this region are ϳ5 m while the basin mean is (cold) ENSO events. This clearly affects the oceanic 20 m. Not surprisingly, this degrades the model per- transparency to solar irradiance. The ocean color data formance in terms of SST errors. Annual mean differ- from SeaWiFS (McClain et al. 1998) clearly demon- ences between model and Levitus SSTs for ATLVAR strates this effect for the El NinÄo±La NinÄa events of and ATLB1 shown in Fig. 13, clearly show that the 1997/98 in terms of attenuation depths (not shown). model SSTs are much closer to Levitus SSTs in Since the SeaWiFS time series is not suf®ciently long ATLVAR than in ATLB1. This is not surprising since for forming monthly climatologies, we attempt to un- our control run with h␥ ϭ 17 m was already larger than derstand the potential impact of interannual variability the local attenuation depths in the Congo and Niger of the ecosystem response on radiation attenuation, us- regions (Fig. 2). Note that the surface heat ¯uxes are ing our simulations with constant and spatially varying computed by the atmospheric mixed layer model and annual mean attenuation depths. It should remembered no corrective ¯uxes or feedbacks to observations are that the same interannual winds are forcing all simu- employed in any of the simulations. lations, hence the model SSTs reproduce observed SSTs It is evident from these comparisons that while the in the NinÄo-3 and NinÄo-4 regions with high ®delity and SST differences for the Paci®c and Indian Oceans are the differences would be much higher in a coupled sys- apparently small in the annual mean, seasonal differ- tem if wind±SST feedbacks were to be allowed. ences need to be investigated for their climatic impacts. Since the cold tongue in the eastern equatorial Paci®c In the Atlantic, the differences are unacceptably large shows the largest SST differences in Fig. 5, we will even in the annual mean. Thus, it is best to use annual focus on this region and the most common ENSO index; mean spatially variable attenuation depths for the most accurate SST simulations. namely, NinÄo-3 (SST anomalies averaged over 5ЊS±5ЊN, 150Њ±90ЊW). During warm ENSO events, the thermo- cline is anomalously deep, upwelling is reduced, and 5. Interannual simulations in the tropical Paci®c biological activity is diminished (Barber and Chavez It is well known that the response of the ecosystem 1983). This would clearly result in an attenuation depth in the Paci®c to ENSO events is fairly dramatic (Barber that would be larger than climatology, that is, incident

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FIG. 14. (top) Differences in (left) NinÄo-3 and (right) NinÄo-4 SSTs and (bottom) SST anomalies between simulations with variable and constant attenuation depths (C-B), and variable and basin mean attenuation depths (C-B1). Note that B (B1) has an attenuation depth shallower (deeper) than the variable attenuation depth run (C). radiation would be able to penetrate much deeper. The not affect the upper-ocean circulation signi®cantly. opposite would be true during a cold ENSO event with However, details of the exact response of the coupled enhanced upwelling, increased surface chlorophyll con- system to SST changes of this magnitude should be centrations, and reduced attenuation depth. As seen in investigated in coupled models, especially for the effects Fig. 1, the control run has shallower attenuation depths of such SST differences on the east±west SST gradient in the cold tongue than PACVAR and the run PACB1 and potential positive or negative feedbacks. with basin mean attenuation depth of 25 m has a deeper The other characteristic evident in Fig. 14 is the cor- attenuation depth than PACVAR. We contrast these sim- relation of the differences between PACVAR and the ulations for the variability and evolution of NinÄo-3 for control run (C-B) with the NinÄo-3 index itself. During insights into the effects of ENSO events on ecosystem warm ENSO events (e.g., 1982/83, 1986/87, 1997/98) response and hence penetration of solar radiation. the differences tend to be minimum and during cold The differences in SST and SST anomalies in the events (e.g., 1984, 1988) they tend to be maximum. NinÄo-3 and NinÄo-4 regions are shown in Fig. 14. The Similar behavior is also seen for the differences between subsurface differences are larger (not shown) but the PACVAR and PACB1 (C-B1) in the NinÄo-3 region. This response for the cold and warm ENSO events can be is not surprising since the deepening of the thermocline understood in terms of differences for climatological and the associated increase in the MLDs and attenuation runs shown in Figs. 5 and 11. During warm ENSO depths would make it less sensitive to going from h␥ ϭ events the attenuation depth should be typically deeper 17 m in the control run to a deeper value in PACVAR. than climatological values. Thus the SST differences On the other hand, during cold ENSO events, higher would be like the top panel of Fig. 11, that is, reduced surface chlorophyll concentrations and reduced oceanic impacts on SSTs. During cold ENSO events, the atten- transparencies with shallower MLDs would increase uation depths are shallower than climatological values, near-surface heat trapping. This would mean SST dif- the SST differences would be similar to Fig. 5, that is, ferences between PACVAR and the control run would warmer SSTs for PACVAR compared to the control run. be in the same sense as seen in Fig. 5. Thus the error This is con®rmed by Fig. 14. A few other features of using climatological attenuation depths would be are immediately obvious. The differences in SSTs are larger during cold ENSO events than during warm somewhat smaller in the NinÄo-4 region. The differences ENSO events. Using climatological attenuation depths in SSTs and SST anomalies are smaller in both regions results in warmer than observed SSTs in the eastern for PACVAR and PACB1 (C-B1) compared to the dif- equatorial region during cold ENSO events, which may ferences between PACVAR and the control run (C-B). reduce the east±west SST gradient, weaken the trade Thus increasing the attenuation depth beyond the cli- winds, and provide a negative feedback. On the other matological mean values has less of an impact since hand, in the real world, a shallowing of the attenuation most of the radiation is trapped at the climatological depth due to enhanced surface chlorophyll levels may attenuation depths. This implies that during a warm trap more heat in the mixed layer and also provide the ENSO event, deepening of the attenuation depths does same negative feedback. These feedbacks can only be

Unauthenticated | Downloaded 09/26/21 03:21 PM UTC 484 JOURNAL OF CLIMATE VOLUME 15 investigated in fully coupled ocean±atmosphere and computationally economic, yet reasonably accurate for- ocean±ecosystem models. mulation of penetrative solar irradiance for coupled cli-

In summary, we can assume that since h␥ ϭ 17 m is mate models. shallower than climatological attenuation depth in the Our previous studies have resorted to a single ex- cold tongue, the control run is more realistic for cold ponential pro®le of radiation in the water column with

ENSO events, and h␥ ϭ 25 m is deeper than the cli- a single value of attenuation depth for the entire Tropics. matological value and thus more realistic for warm Ignoring the penetration of shortwave radiation entirely ENSO events. The SST differences between these sim- produces results similar to the coupled model experi- ulations can be considered SST errors caused by using ments reported previously. However, the processes in- climatological attenuation depths. It can be inferred volved in generating the surface effects are remarkably from Fig. 14 that the SST errors in the NinÄo-3 and NinÄo- different because a variable depth mixed layer is rep- 4 regions are small (ϳ0.2ЊC) during warm ENSO events resented explicitly. The sensitivity of the equatorial Pa- and larger (ϳ0.4ЊC) during cold ENSO events. ci®c cold tongue to equatorial divergence and upwelling The remaining question of course is just how much is reduced due to weakening of the subsurface strati®- smaller does the attenuation depth get in the cold tongue cation and deeper mixed layers for the same wind forc- region during La NinÄa events? This question can be ing. This could be important in coupled models in de- answered with some con®dence based on the SeaWiFS termining the coupled feedbacks and the seasonality of data for the La NinÄa of 1998. This was one of the stron- the heat trapping effects even though a constant atten- gest known cold ENSO events in the last 50 years uation depth is employed. (McPhaden 1999) with one of the highest equatorial Our main simulations replaced the constant attenua- surface chlorophyll concentrations (Murtugudde et al. tion depth with spatially variable annual mean attenu- 1999, manuscript submitted to Geophys. Res. Lett.) ob- ation depths derived from ocean color data. The region served. The attenuation depths for the boreal summer of most interest; namely, the cold tongue in the eastern months of 1998 reached a minimum of about 15 m (not equatorial Paci®c has climatological attenuation depths shown) and the SST errors in Fig. 14 were only slightly of ϳ20 m, which is deeper than the constant value of higher. Similarly, for the peak of the warm event during 17 m used in our control runs. This clearly determines 1997/98, the attenuation depths were as deep as 22 m the differences presented throughout the paper. How- in the cold tongue, which is only slightly deeper than ever, 17 m is a typical number used in most state-of- the climatological values seen in Fig. 1. It should also the-art models. We also present sensitivity of the upper- be noted that the errors in SSTs will be much larger for ocean circulation to a different constant in each of the cold events if the basin mean of 25 m is employed. Thus tropical oceans. Model simulations with ocean color± the conclusions drawn above regarding the SST errors derived attenuation depths are compared with control associated with using climatological values will likely hold in general. Moreover, the goal here is to recom- runs with constant attenuation depth in each of the trop- mend ways to improve SST simulations in coupled ical oceans separately. ENSO prediction models that attempt to make 6±12- The cold tongue in the eastern equatorial Paci®c is month forecasts. Resorting to interannually varying at- warmer when realistic attenuation depths are used in- tenuation depths will require estimating attenuation dicating that the colder than observed cold tongue that depths in the forecast mode which may not add sub- plagues most of the present-day OGCMs may simply stantially to the forecast skill as can be inferred from be related to inaccurate representation of the radiation Fig. 14. A signi®cant improvement in the initial con- pro®le. The heat budget of the western Paci®c may be ditions may be achievable on the other hand, by using crucially dependent on penetration of solar radiation accurate representation of penetrative radiation. since most of the net surface ¯ux is lost to the subsur- face. The interannual simulations are more erroneous in terms of NinÄo-3 and NinÄo-4 indices during cold events 6. Concluding remarks when the biological activity is enhanced and the heat An OGCM for the Tropics was employed to study trapping due to surface chlorophyll is increased. While the effects of penetrative shortwave radiation on the the potential feedbacks need to be investigated in cou- upper- and thermodynamics. The ocean pled climate models, it is likely that the errors induced model explicitly represents a bulk mixed layer and is by annual mean climatological attenuation depths in- coupled to an advective atmospheric mixed layer. The stead of monthly mean attenuation depths are signi®- SSTs are allowed to evolve freely with the only external cantly smaller than SST errors when a single nonrep- quantities speci®ed being those that are not directly con- resentative constant attenuation depth is used. When a trolled by SSTs, namely, winds, solar radiation, and representative constant attenuation depth such as the cloudiness. This allows us to study the processes that basin mean of the variable depths is used, the errors are affect SSTs when subsurface penetration of incident so- greatly reduced but may still cause large wind feedbacks lar radiation is ignored or otherwise modi®ed. The main in the eastern ITCZ region. During cold ENSO events goal was to explore the possibility of recommending a even the equatorial region will be affected since h␥ in

Unauthenticated | Downloaded 09/26/21 03:21 PM UTC 1MARCH 2002 MURTUGUDDE ET AL. 485 the cold tongue region is much shallower than the basin reviewer really sharpened the focus of the paper and we mean. are grateful to them. The effects of using realistic attenuation depths in the Atlantic are somewhat similar to the Paci®c but the details are quite different in terms of the processes in- REFERENCES volved due to the basic differences in the circulations of the two oceans. The equatorial region is dominated Banse, K., and C. McClain, 1986: Satellite-observed winter blooms of phytoplankton in the Arabian Sea. Mar. Ecol. Prog. Ser., 34, in the Atlantic Ocean by the discharges from the Congo 201±211. and Niger Rivers. It is shown that the model perfor- Barber, R., and F. Chavez, 1983: Biological consequences of El NinÄo. mance in terms of SST simulations compared to Levitus Science, 222, 1203±1210. data is indeed better when variable attenuation depths Chen, D., A. J. Busalacchi, and L. 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