1. Introduction
The tropical Indian Ocean (IO), in contrast to the tropical Pacific and Atlantic Oceans, features a unique monsoonal climate (Schott et al. 2009) where the Asian continent drives the strongest monsoon on Earth (e.g., Li and Yanai 1996; Lau et al. 2006; Boos and Kuang 2010) and the cross-equatorial monsoonal winds display the dramatic seasonal reversals. The interaction of the South Asian monsoon with the ocean plays an important role in shaping the regional climate in many ways. For instance, the monsoonal winds bring about large seasonal alternations in ocean currents such as the annual reversal of the Somali Current in the Arabian Sea (Schott and McCreary 2001; Schott et al. 2002). Momentum advection by the cross-equatorial monsoon circulation drives the semiannual cycle in equatorial IO zonal wind (Ogata and Xie 2011). As a result, the oceanic Wyrtki jets carry warm upper-layer waters eastward twice a year in the equatorial IO during the intermonsoon periods (Wyrtki 1973; Schott et al. 2009). Such monsoon-induced characteristics are unique to the IO and climatically important on both regional and global scales. The seasonal development of the southeasterly alongshore wind off Indonesia locks the IO dipole (IOD) mode of interannual variability to boreal summer–autumn (Saji et al. 1999; Webster et al. 1999; Murtugudde et al. 2000; Yamagata et al. 2004; Du et al. 2013), a phenomenon of profound social and economic consequences for the IO rim countries (e.g., Ashok et al. 2001; Guan and Yamagata 2003; Hashizume et al. 2009; Cai et al. 2009; Ummenhofer et al. 2011; Weller and Cai 2013a).
Unfortunately, many coupled general circulation models (CGCMs) exhibit large biases in the South Asian summer monsoon, with the upper-tropospheric temperature maximum over Tibet being too weak and displaced southeast of its observed location (Boos and Hurley 2013) along with insufficient summer precipitation over the South Asian monsoon region (e.g., Annamalai et al. 2007). However, it is unclear how these monsoon biases influence regional climate simulation and projection beyond the monsoon itself.
CGCMs suffer from serious errors in simulating tropical Pacific and Atlantic climate, including an excessive equatorial cold tongue in the Pacific (e.g., Neelin et al. 1992; Mechoso et al. 1995; Yu and Mechoso 1999; Davey et al. 2002; Wittenberg et al. 2006; de Szoeke and Xie 2008; Zheng et al. 2012; Li and Xie 2014), a zonal sea surface temperature (SST) gradient that is too weak along the equatorial Atlantic (e.g., Davey et al. 2002; Chang et al. 2007; Richter and Xie 2008; Wahl et al. 2011; Grodsky et al. 2012; Liu et al. 2013; Kozar and Misra 2013), and SSTs over the tropical southeast Pacific and Atlantic that are too warm accompanied by a spurious double intertropical convergence zone (e.g., Mechoso et al. 1995; Zhang and Wang 2006; Lin 2007; Song and Zhang 2009; Hwang and Frierson 2013; Li and Xie 2014; Wang et al. 2014). These long-standing tropical biases exist in several generations of CGCMs for more than a decade, including those participating in phase 5 of the Coupled Model Intercomparison Project (CMIP5; Taylor et al. 2012; Hwang and Frierson 2013; Li and Xie 2014; Wang et al. 2014).
Tropical IO biases in CGCMs are previously overlooked to a large extent, for one important reason. Annual-mean biases may be small in magnitude in the tropical IO relative to other two tropical basins (e.g., Lin 2007; Hwang and Frierson 2013; Li and Xie 2014; Wang et al. 2014) but, as will be described, the tropical IO biases have strong seasonal dependence with even seasonal sign reversals in wind/SST, resulting in small annual means. Recently, Lee et al. (2013) identified a common annual-mean easterly wind bias along the equatorial IO in state-of-the-art CGCMs participating in both CMIP3 and CMIP5. Cai and Cowan (2013) further found that the annual-mean equatorial easterly wind bias in CGCMs is accompanied by an overly strong west-minus-east SST gradient and the unrealistic climatological-mean thermocline slope tilting upward toward the eastern equatorial IO, suggestive of the positive ocean–atmospheric feedback of Bjerknes (1969).
Although previous studies have noticed some annual-mean simulation errors in the equatorial IO in CGCMs, many issues remain unresolved. For example, since the oceanic and atmospheric fields are closely coupled in the positive Bjerknes feedback loop and errors in one field will propagate into all the elements in the loop as a “chicken and egg” problem, it is unclear which element initiates the development of such equatorial IO biases. The seasonal evolutionary characteristics/processes of equatorial IO biases have not been studied. Moreover, the bias pattern off the equator is unknown. In particular, it is also unclear whether the equatorial IO biases are associated with errors of the South Asian summer monsoon. There are physical reasons for the South Asian monsoon affecting equatorial IO biases. For example, the cross-equatorial monsoonal winds could affect SST in the western equatorial IO because of oceanic upwelling near, as well as heat advection from, the Somali and Omani coasts and of latent heat loss caused by the strong surface winds (Schott and McCreary 2001; Izumo et al. 2008; Schott et al. 2009). In addition, the meridional momentum advection during the monsoonal periods could affect the strength of westerly winds along the equator (Ogata and Xie 2011).
The present study investigates seasonally dependent biases over the tropical IO in 19 CMIP5 CGCMs. Our analysis reveals pronounced biases during boreal autumn [September–November (SON)] organized in coherent IOD-like patterns with a strong equatorial easterly wind bias accompanied by physically consistent biases in precipitation, SST, and subsurface ocean temperature. We show that these coupled ocean–atmosphere biases originate from a southwest monsoon that is too weak over the Arabian Sea during boreal summer [June–August (JJA)] and the resultant warm SST bias in the western equatorial IO. In SON, the SST error is amplified into an IOD-like bias pattern through Bjerknes feedback. These mean state biases result in an amplitude of interannual IOD variability that is too large and also distort future climate projection in the region. In particular, models with larger IOD amplitude biases tend to project stronger IOD-like future changes. Our study highlights the tropical IO errors in CGCMs and emphasizes the importance of a realistic South Asian monsoon simulation for reducing tropical IO simulation errors for both mean state and climate variability as well as increasing the reliability of regional future climate projection.
The remainder of this paper is organized as follows: In section 2, we provide a brief description of the models, datasets, and methods used in this study. Section 3 introduces the annual-mean IOD-like biases over the tropical IO in the CMIP5 multimodel ensemble. Section 4 further investigates the seasonal development processes of IOD-like biases and their South Asian summer monsoon origin. Section 5 discusses the effects of such IOD-like mean state biases on the simulation of tropical IO interannual variability and regional climate projection under global warming. Section 6 is a summary.
2. Models, datasets, and methods
We examine the historical and representative concentration pathway 8.5 (RCP8.5) experiments in the CMIP5 multimodel ensemble (Taylor et al. 2012). Monthly-mean outputs from 19 CMIP5 CGCMs are used, including precipitation, wind and geopotential height in the lower troposphere (925 hPa), SST, and ocean temperature. Table 1 shows the model names, modeling groups (or centers), and their letter labels. Further information on individual models is available online (at http://www-pcmdi.llnl.gov/; Taylor et al. 2012). Here, we only use one ensemble member (r1i1p1) run for each model. The 1950–99 mean in historical simulations is represented as the present climatology, and the 2050–99 mean in RCP8.5 runs is represented as the future climatology. Their difference denotes climate change under global warming. The multimodel ensemble-mean (MME) bias in this study is defined as the difference between the 19-model mean and observations, unless otherwise specified.
A list of the 19 CMIP5 CGCMs used in this study and the labels to denote them in the figures and text. (Model names and modeling group/center expansions can be found online at http://www.ametsoc.org/PubsAcronymList.)


For comparison, we also examine both the observed and reanalyzed (assimilated) datasets (for simplicity referred to as observations). Specifically, the precipitation climatology is obtained from the Global Precipitation Climatology Project (GPCP; Adler et al. 2003) for 1979–2008 and from the National Center for Atmospheric Research–National Centers for Environmental Prediction (NCEP–NCAR) reanalysis project (Kalnay et al. 1996) for 1950–99. Although the two precipitation products cover different time periods, the climatology is very similar. Only the results from the GPCP are shown, unless otherwise specified. The wind and geopotential height in the lower troposphere (925 hPa) is the climatology from 40-yr ECWMF Re-Analysis (ERA-40) (Uppala et al. 2005) for 1958–2001. The SST climatology is obtained from the Hadley Centre Sea Ice and SST dataset (HadISST; Rayner et al. 2003) for 1950–99. In addition, the ocean temperature from the Simple Ocean Data Assimilation (SODA) reanalysis (Carton and Giese 2008) from 1950 to 1999 is used. All model outputs and observational datasets are interpolated to a uniform 2° × 2° horizontal grid, unless otherwise specified.


3. Annual-mean biases
Figure 1 compares the annually averaged zonal wind, precipitation, and SST along the equatorial IO between observations (black lines) and 19 CMIP5 CGCMs (colored lines). Although the zonal distributions of annual-mean zonal wind, precipitation, and SST along the equatorial IO are qualitatively simulated, large errors are clearly found in the CMIP5 CGCMs. For example, annual-mean equatorial westerly winds are too weak in most CMIP5 CGCMs relative to observations (Fig. 1a; Lee et al. 2013; Cai and Cowan 2013). Also, the CMIP5 CGCMs commonly simulate the excessive (slightly insufficient) precipitation in the western (eastern) equatorial IO (Fig. 1b).

Zonal sections of annual-mean (a) zonal wind (m s−1), (b) precipitation (mm day−1), and (c) SST (°C) along the equator in observations (black line) and 19 CMIP5 CGCMs (colored lines).
Citation: Journal of Climate 28, 8; 10.1175/JCLI-D-14-00740.1

Zonal sections of annual-mean (a) zonal wind (m s−1), (b) precipitation (mm day−1), and (c) SST (°C) along the equator in observations (black line) and 19 CMIP5 CGCMs (colored lines).
Citation: Journal of Climate 28, 8; 10.1175/JCLI-D-14-00740.1
Zonal sections of annual-mean (a) zonal wind (m s−1), (b) precipitation (mm day−1), and (c) SST (°C) along the equator in observations (black line) and 19 CMIP5 CGCMs (colored lines).
Citation: Journal of Climate 28, 8; 10.1175/JCLI-D-14-00740.1
Figures 2a and 2b show the spatial patterns of annual-mean wind, precipitation, and SST over the tropical IO (20°S–20°N, 40°–110°E) for observations and the MME biases in CMIP5 CGCMs, respectively. Here, we focus on the spatial distributions of model biases by normalizing with the tropical IO means of precipitation and SST for observations and each model. Indeed, the CMIP5 CGCMs suffer from a strong equatorial easterly wind bias accompanied by excessive (insufficient) precipitation in the western (eastern) basin (Fig. 2b), in patterns similar to a positive IOD event (Saji et al. 1999) in nature. In particular, annual-mean southwesterly (southeasterly) winds over the north (south) IO are significantly weaker in CMIP5 CGCMs than observations. Such annual-mean IOD-like biases on the equator and weakened southwesterly (southeasterly) winds over the north (south) IO are present in most CMIP5 CGCMs (see Fig. S1 in the supplementary material).

(a) Annual-mean 925-hPa wind (vectors; m s−1), precipitation (color shaded; mm day−1), and SST (black contours; °C) in observations. (b) The MME biases of annual-mean 925-hPa wind (vectors), precipitation [gray shaded and white contours; contour interval (CI) = 0.1], and SST (color contours; CI = 0.01) in 19 CMIP5 CGCMs. The precipitation and SST for observations and each CGCM in (b) are normalized by their tropical IO (20°S–20°N, 40°–110°E) means. Wind speeds smaller than 0.6 and 0.3 m s−1 have been masked out in (a) and (b), respectively.
Citation: Journal of Climate 28, 8; 10.1175/JCLI-D-14-00740.1

(a) Annual-mean 925-hPa wind (vectors; m s−1), precipitation (color shaded; mm day−1), and SST (black contours; °C) in observations. (b) The MME biases of annual-mean 925-hPa wind (vectors), precipitation [gray shaded and white contours; contour interval (CI) = 0.1], and SST (color contours; CI = 0.01) in 19 CMIP5 CGCMs. The precipitation and SST for observations and each CGCM in (b) are normalized by their tropical IO (20°S–20°N, 40°–110°E) means. Wind speeds smaller than 0.6 and 0.3 m s−1 have been masked out in (a) and (b), respectively.
Citation: Journal of Climate 28, 8; 10.1175/JCLI-D-14-00740.1
(a) Annual-mean 925-hPa wind (vectors; m s−1), precipitation (color shaded; mm day−1), and SST (black contours; °C) in observations. (b) The MME biases of annual-mean 925-hPa wind (vectors), precipitation [gray shaded and white contours; contour interval (CI) = 0.1], and SST (color contours; CI = 0.01) in 19 CMIP5 CGCMs. The precipitation and SST for observations and each CGCM in (b) are normalized by their tropical IO (20°S–20°N, 40°–110°E) means. Wind speeds smaller than 0.6 and 0.3 m s−1 have been masked out in (a) and (b), respectively.
Citation: Journal of Climate 28, 8; 10.1175/JCLI-D-14-00740.1
For the annual mean, the bias in west-minus-east SST gradient along the equatorial IO seems weak (Figs. 1c and 2b) and does not match well with wind and precipitation biases in an IOD-like manner. Figures 3a–d show the MME biases of seasonally averaged SST in CMIP5 CGCMs relative to observations during boreal spring [March–May (MAM)], JJA, SON, and boreal winter [December–February (DJF)], respectively. A close inspection reveals extremely warm (slightly cool) SST biases in the western (eastern) IO in both JJA and SON, suggestive of a positive IOD-like bias.

The MME biases of seasonal SST (°C) in boreal (a) spring (MAM), (b) summer (JJA), (c) autumn (SON), and (d) winter (DJF) in 19 CMIP5 CGCMs.
Citation: Journal of Climate 28, 8; 10.1175/JCLI-D-14-00740.1

The MME biases of seasonal SST (°C) in boreal (a) spring (MAM), (b) summer (JJA), (c) autumn (SON), and (d) winter (DJF) in 19 CMIP5 CGCMs.
Citation: Journal of Climate 28, 8; 10.1175/JCLI-D-14-00740.1
The MME biases of seasonal SST (°C) in boreal (a) spring (MAM), (b) summer (JJA), (c) autumn (SON), and (d) winter (DJF) in 19 CMIP5 CGCMs.
Citation: Journal of Climate 28, 8; 10.1175/JCLI-D-14-00740.1
Figures 4a–c show the equatorial IO zonal wind, precipitation, and SST during June–November in observations (black lines) and 19 CMIP5 CGCMs (colored lines), respectively. The seasonal biases of zonal wind and precipitation along the equator in CGCMs are more pronounced than their annual-mean biases (Figs. 1 and 4). While observations display robust equatorial westerly winds as a part of the Walker circulation (Schott et al. 2009), half of the CGCMs feature easterly winds on the equator (Fig. 4a). In addition, almost all CGCMs exhibit warm SST biases in the equatorial western IO, implying seasonally dependent biases in the west-minus-east SST gradient (Fig. 4c).

As in Fig. 1, but for June–November.
Citation: Journal of Climate 28, 8; 10.1175/JCLI-D-14-00740.1

As in Fig. 1, but for June–November.
Citation: Journal of Climate 28, 8; 10.1175/JCLI-D-14-00740.1
As in Fig. 1, but for June–November.
Citation: Journal of Climate 28, 8; 10.1175/JCLI-D-14-00740.1
4. Seasonal cycle of errors and the monsoon origin
a. Seasonal cycle of errors
To show the seasonality of the biases, Fig. 5 compares the longitude–time sections of 925-hPa wind, precipitation, and SST along the equatorial IO between observations and the MME simulation. The weakened cross-equatorial JJA monsoon causes a strong warm SST bias in the west (Fig. 5b). While the MME bias in cross-equatorial winds is no longer significant in September, the SST error in the equatorial western IO could last until November–December when an overly strong cross-equatorial boreal winter monsoon reverses the sign of SST bias (Fig. 5b). The seasonal sign reversal in SST bias renders the annual-mean small on the equator. While the warm SST bias occurs in both JJA and SON over the western equatorial IO, the easterly wind bias along the equator and excessive precipitation in the western equatorial IO in CMIP5 CGCMs are much more pronounced in SON than in JJA.

(a) Longitude–time section of the observed climatologies of 925-hPa wind (vectors; m s−1), precipitation (gray shaded; mm day−1), and SST (color contours; °C) on the equator. (b) As in (a), but for the MME biases in 19 CMIP5 CGCMs. Wind speeds smaller than 2.0 and 0.8 m s−1 have been masked out in (a) and (b), respectively.
Citation: Journal of Climate 28, 8; 10.1175/JCLI-D-14-00740.1

(a) Longitude–time section of the observed climatologies of 925-hPa wind (vectors; m s−1), precipitation (gray shaded; mm day−1), and SST (color contours; °C) on the equator. (b) As in (a), but for the MME biases in 19 CMIP5 CGCMs. Wind speeds smaller than 2.0 and 0.8 m s−1 have been masked out in (a) and (b), respectively.
Citation: Journal of Climate 28, 8; 10.1175/JCLI-D-14-00740.1
(a) Longitude–time section of the observed climatologies of 925-hPa wind (vectors; m s−1), precipitation (gray shaded; mm day−1), and SST (color contours; °C) on the equator. (b) As in (a), but for the MME biases in 19 CMIP5 CGCMs. Wind speeds smaller than 2.0 and 0.8 m s−1 have been masked out in (a) and (b), respectively.
Citation: Journal of Climate 28, 8; 10.1175/JCLI-D-14-00740.1
Associated with the equatorial easterly wind bias, the models tend to display an overly steep slope in the thermocline depth [20°C isotherm (Z20)] shoaling toward the east. Figure 6 shows the ocean temperature structures in the zonal–vertical plane along the equator during SON in observations and the MME simulation. Indeed, models generally feature a too-steep eastward shoaling of Z20 in the equatorial eastern IO during SON. Most CMIP5 CGCMs share such an unrealistic equatorial Z20 slope tilting upward toward the east (see Fig. S2 in the supplementary material). This relationship among wind, precipitation, SST, and Z20 biases during SON (Figs. 5b and 6b) is suggestive of Bjerknes feedback.

Ocean temperature (color shaded; °C) in the zonal–vertical plane along the equator during SON in (a) observations and (b) the MME simulation. The 20°C isotherms in observations and the MME simulation are denoted by the black and white solid curves, respectively. The 28°C isotherms in observations and the MME simulation are denoted by the black and white dashed curves, respectively.
Citation: Journal of Climate 28, 8; 10.1175/JCLI-D-14-00740.1

Ocean temperature (color shaded; °C) in the zonal–vertical plane along the equator during SON in (a) observations and (b) the MME simulation. The 20°C isotherms in observations and the MME simulation are denoted by the black and white solid curves, respectively. The 28°C isotherms in observations and the MME simulation are denoted by the black and white dashed curves, respectively.
Citation: Journal of Climate 28, 8; 10.1175/JCLI-D-14-00740.1
Ocean temperature (color shaded; °C) in the zonal–vertical plane along the equator during SON in (a) observations and (b) the MME simulation. The 20°C isotherms in observations and the MME simulation are denoted by the black and white solid curves, respectively. The 28°C isotherms in observations and the MME simulation are denoted by the black and white dashed curves, respectively.
Citation: Journal of Climate 28, 8; 10.1175/JCLI-D-14-00740.1
These results are supported by an intermodel analysis. We perform an intermodel EOF analysis for JJA SST and SON zonal wind separately in the equatorial IO (6°S–6°N, 40°–100°E) among observations and 19 CMIP5 CGCMs. The SST for observations and each CGCM is normalized by their tropical IO means. The first modes (Figs. 7a,b) feature a JJA SST zonal dipole and SON easterly wind biases along the equatorial IO, respectively. The first principal component (PC1) for JJA SST is highly correlated with the west-minus-east SST gradient along the equatorial IO (40°–60°E minus 80°–100°E) in JJA at 0.82 (Fig. 7c), whereas the SON wind PC1 is correlated with zonal wind in the central equatorial IO (CEIO; 70°–90°E) in SON at −0.99 (Fig. 7e). Furthermore, the two PC1s are mutually correlated at 0.63 (Fig. 7f), suggesting that the JJA west-minus-east SST gradient bias drives the SON equatorial easterly wind bias.

(a) The regression pattern of the first intermodel EOF mode for the JJA SST in the equatorial IO (6°S–6°N, 40°–100°E) among observations and 19 CMIP CGCMs (accounting for 50% of the total variance). Here, the SST for observations and each CGCM is normalized by their tropical IO (20°S–20°N, 40°–110°E) means. (b) As in (a), but for the SON zonal wind (accounting for 75% of the total variance). (c) Scatterplot of the PC1 for the JJA SST vs west-minus-east JJA SST gradient (40°–60°E minus 80°–100°E) on the equator. (d) As in (c), but for the PC1 for the SON zonal wind vs west-minus-east SON SST gradient. (e) As in (c), but for the PC1 for the SON zonal wind vs CEIO (70°–90°E) SON zonal wind. (f) As in (c), but for the PC1s for the JJA SST and SON zonal wind. The intermodel correlation (r) is shown on the left in each panel of (c)–(f).
Citation: Journal of Climate 28, 8; 10.1175/JCLI-D-14-00740.1

(a) The regression pattern of the first intermodel EOF mode for the JJA SST in the equatorial IO (6°S–6°N, 40°–100°E) among observations and 19 CMIP CGCMs (accounting for 50% of the total variance). Here, the SST for observations and each CGCM is normalized by their tropical IO (20°S–20°N, 40°–110°E) means. (b) As in (a), but for the SON zonal wind (accounting for 75% of the total variance). (c) Scatterplot of the PC1 for the JJA SST vs west-minus-east JJA SST gradient (40°–60°E minus 80°–100°E) on the equator. (d) As in (c), but for the PC1 for the SON zonal wind vs west-minus-east SON SST gradient. (e) As in (c), but for the PC1 for the SON zonal wind vs CEIO (70°–90°E) SON zonal wind. (f) As in (c), but for the PC1s for the JJA SST and SON zonal wind. The intermodel correlation (r) is shown on the left in each panel of (c)–(f).
Citation: Journal of Climate 28, 8; 10.1175/JCLI-D-14-00740.1
(a) The regression pattern of the first intermodel EOF mode for the JJA SST in the equatorial IO (6°S–6°N, 40°–100°E) among observations and 19 CMIP CGCMs (accounting for 50% of the total variance). Here, the SST for observations and each CGCM is normalized by their tropical IO (20°S–20°N, 40°–110°E) means. (b) As in (a), but for the SON zonal wind (accounting for 75% of the total variance). (c) Scatterplot of the PC1 for the JJA SST vs west-minus-east JJA SST gradient (40°–60°E minus 80°–100°E) on the equator. (d) As in (c), but for the PC1 for the SON zonal wind vs west-minus-east SON SST gradient. (e) As in (c), but for the PC1 for the SON zonal wind vs CEIO (70°–90°E) SON zonal wind. (f) As in (c), but for the PC1s for the JJA SST and SON zonal wind. The intermodel correlation (r) is shown on the left in each panel of (c)–(f).
Citation: Journal of Climate 28, 8; 10.1175/JCLI-D-14-00740.1
b. Errors in JJA versus SON
Then, why do the IOD-like coupled biases develop in SON instead of in JJA? Although the warm SST bias in the western equatorial IO is present as early as in JJA, the equatorial easterly wind bias does not develop until SON (Fig. 5b). Figures 8a and 8b examine the relationship between the west-minus-east SST gradient along the equatorial IO and CEIO zonal wind among observations and 19 CMIP5 CGCMs for JJA and SON, respectively. There is a strong intermodel correlation (r = −0.92) between the west-minus-east SST gradient and CEIO zonal wind biases in SON, but this intermodel relationship is insignificant in JJA (r = −0.22), suggesting that the positive Bjerknes feedback loop is broken in JJA.

Scatterplots of the west-minus-east SST (°C) gradient along the equatorial IO vs CEIO zonal wind (m s−1) among observations and 19 CMIP CGCMs during (a) JJA and (b) SON. The intermodel correlation (r) is shown at the bottom-left side in each panel.
Citation: Journal of Climate 28, 8; 10.1175/JCLI-D-14-00740.1

Scatterplots of the west-minus-east SST (°C) gradient along the equatorial IO vs CEIO zonal wind (m s−1) among observations and 19 CMIP CGCMs during (a) JJA and (b) SON. The intermodel correlation (r) is shown at the bottom-left side in each panel.
Citation: Journal of Climate 28, 8; 10.1175/JCLI-D-14-00740.1
Scatterplots of the west-minus-east SST (°C) gradient along the equatorial IO vs CEIO zonal wind (m s−1) among observations and 19 CMIP CGCMs during (a) JJA and (b) SON. The intermodel correlation (r) is shown at the bottom-left side in each panel.
Citation: Journal of Climate 28, 8; 10.1175/JCLI-D-14-00740.1


We test this hypothesis by examining the pressure gradient and meridional momentum advection terms in Eq. (2). Figures 9a and 9b show the longitude–time sections of MME biases for the pressure gradient and meridional momentum advection terms along the equatorial IO in 19 CMIP5 CGCMs, respectively. Indeed, the SST/pressure effect in JJA is to generate easterly wind bias, particularly in the western equatorial IO, but the meridional momentum advection effect is large and offsets the SST/pressure effect. In SON, with the monsoon gone, the SST/pressure effect prevails and induces the easterly wind bias over the CEIO, allowing Bjerknes feedback to develop the IOD-like biases rapidly. This has more or less implications for the important question of why the observed IOD events generally peak in SON rather than in JJA (e.g., Saji et al. 1999; Webster et al. 1999; Cai and Cowan 2013).

Longitude–time sections of MME biases for the (a) pressure gradient term (m s−2) and (b) meridional momentum advection term (m s−2) in Eq. (2) on the equator in 19 CMIP5 CGCMs.
Citation: Journal of Climate 28, 8; 10.1175/JCLI-D-14-00740.1

Longitude–time sections of MME biases for the (a) pressure gradient term (m s−2) and (b) meridional momentum advection term (m s−2) in Eq. (2) on the equator in 19 CMIP5 CGCMs.
Citation: Journal of Climate 28, 8; 10.1175/JCLI-D-14-00740.1
Longitude–time sections of MME biases for the (a) pressure gradient term (m s−2) and (b) meridional momentum advection term (m s−2) in Eq. (2) on the equator in 19 CMIP5 CGCMs.
Citation: Journal of Climate 28, 8; 10.1175/JCLI-D-14-00740.1
c. Monsoon origin
Figures 10a and 10b show the spatial distributions of MME biases of 925-hPa wind, precipitation, and SST over the tropical IO in CMIP5 CGCMs during JJA and SON, respectively. The southwest monsoon in JJA is too weak in CMIP5 CGCMs over the Arabian Sea along with insufficient summer precipitation over the South Asian monsoon region. The weakened cross-equatorial monsoon generates warm SST and excessive precipitation biases over the western equatorial IO (Fig. 10a). The warm SST bias in the equatorial western IO persists until SON, when Bjerknes feedback helps amplify the SST error into an IOD-like bias pattern with a strong equatorial easterly wind bias accompanied by warm (cool) SST and excessive (insufficient) precipitation biases in the western (eastern) basin (Fig. 10b).

The MME biases of 925-hPa wind (vectors; m s−1), precipitation (colored shaded; mm day−1), and SST (CI = 0.3°C) in (a) JJA and (b) SON in 19 CMIP5 CGCMs. The wind speed smaller than 0.5 m s−1 has been masked out.
Citation: Journal of Climate 28, 8; 10.1175/JCLI-D-14-00740.1

The MME biases of 925-hPa wind (vectors; m s−1), precipitation (colored shaded; mm day−1), and SST (CI = 0.3°C) in (a) JJA and (b) SON in 19 CMIP5 CGCMs. The wind speed smaller than 0.5 m s−1 has been masked out.
Citation: Journal of Climate 28, 8; 10.1175/JCLI-D-14-00740.1
The MME biases of 925-hPa wind (vectors; m s−1), precipitation (colored shaded; mm day−1), and SST (CI = 0.3°C) in (a) JJA and (b) SON in 19 CMIP5 CGCMs. The wind speed smaller than 0.5 m s−1 has been masked out.
Citation: Journal of Climate 28, 8; 10.1175/JCLI-D-14-00740.1
Intermodel statistics also support the hypothesis that the seasonally dependent IOD-like biases are induced by biases of the South Asian summer monsoon. Figures 11a and 11b show the relationship between the cross-equatorial meridional wind in the western IO (40°–60°E) and the west-minus-east SST gradient along the equatorial IO in JJA and between the west-minus-east SST gradients along the equatorial IO in JJA and SON, respectively. Models with a weaker cross-equatorial monsoon in JJA tend to develop larger equatorial SST gradient biases in both JJA and SON, suggesting the importance of a good JJA monsoon simulation for improving SST simulation during JJA and SON. The SST gradient bias then induces the equatorial easterly wind error in SON (Fig. 8b). The easterly wind bias steepens the Z20 slope along the equatorial IO (Fig. 11c), which in turn helps intensify the SST gradient bias (Fig. 11d). Figure 12 summarizes the South Asian monsoon origin of and Bjerknes feedback for the IOD-like bias pattern.

Scatterplots of (a) the meridional wind (m s−1) in the equatorial western IO (40°–60°E) vs west-minus-east SST (°C) gradient in JJA along the equator, (b) the SST gradients in JJA vs SON, (c) the CEIO zonal wind (m s−1) vs west-minus-east Z20 (m) gradient in SON, and (d) the Z20 vs SST gradients in SON. The intermodel correlation (r) is shown on the left in each panel.
Citation: Journal of Climate 28, 8; 10.1175/JCLI-D-14-00740.1

Scatterplots of (a) the meridional wind (m s−1) in the equatorial western IO (40°–60°E) vs west-minus-east SST (°C) gradient in JJA along the equator, (b) the SST gradients in JJA vs SON, (c) the CEIO zonal wind (m s−1) vs west-minus-east Z20 (m) gradient in SON, and (d) the Z20 vs SST gradients in SON. The intermodel correlation (r) is shown on the left in each panel.
Citation: Journal of Climate 28, 8; 10.1175/JCLI-D-14-00740.1
Scatterplots of (a) the meridional wind (m s−1) in the equatorial western IO (40°–60°E) vs west-minus-east SST (°C) gradient in JJA along the equator, (b) the SST gradients in JJA vs SON, (c) the CEIO zonal wind (m s−1) vs west-minus-east Z20 (m) gradient in SON, and (d) the Z20 vs SST gradients in SON. The intermodel correlation (r) is shown on the left in each panel.
Citation: Journal of Climate 28, 8; 10.1175/JCLI-D-14-00740.1

Schematic showing the South Asian summer monsoon origin of and Bjerknes feedback for the seasonal evolutions of IOD-like bias pattern in CMIP5 CGCMs.
Citation: Journal of Climate 28, 8; 10.1175/JCLI-D-14-00740.1

Schematic showing the South Asian summer monsoon origin of and Bjerknes feedback for the seasonal evolutions of IOD-like bias pattern in CMIP5 CGCMs.
Citation: Journal of Climate 28, 8; 10.1175/JCLI-D-14-00740.1
Schematic showing the South Asian summer monsoon origin of and Bjerknes feedback for the seasonal evolutions of IOD-like bias pattern in CMIP5 CGCMs.
Citation: Journal of Climate 28, 8; 10.1175/JCLI-D-14-00740.1
5. Discussion on regional climate variability and change
The CMIP5 CGCMs have been used for global climate simulation and projection on a lot of aspects (e.g., Taylor et al. 2012; Christensen et al. 2014). However, long-standing biases of mean state simulation for the equatorial Pacific cold tongue and intertropical convergence zone (ITCZ) considerably limit the skills of CGCMs in simulating and predicting El Niño–Southern Oscillation (ENSO) as well as its global teleconnections (Latif et al. 2001; Guilyardi 2006; AchutaRao and Sperber 2006; Wittenberg et al. 2006; Misra et al. 2008; Ham and Kug 2012; Li and Xie 2014). Conceivably a realistic simulation of tropical IO mean state by the CMIP5 CGCMs is also an important prerequisite for their good skill in regional climate simulation and projection.
We turn our attention to the effects of such IOD-like mean state biases on the simulation of tropical IO interannual variability and regional climate projection under global warming. With the equatorial easterly wind bias, the unrealistically steep equatorial Z20 slope tilting upward toward the eastern IO during SON (Fig. 6) generates an overly strong subsurface thermocline feedback on SST, helping develop an excessively large amplitude of interannual IOD variability in CGCMs (Cai and Cowan 2013; Liu et al. 2014). Figure 13a compares the amplitudes of interannual IOD variability between observations and the MME simulation as a function of calendar month. In this study, the IOD amplitude is defined as the standard deviation of the dipole mode index (DMI) proposed by Saji et al. (1999). The error bars indicate the standard deviation spread among 19 CMIP5 CGCMs. Indeed, CMIP5 CGCMs tend to produce an IOD amplitude that is too large, twice as large for the MME simulation compared to observations in the IOD peak season.

(a) Comparison of monthly IOD amplitudes between observations and the MME simulation. (b) Scatterplot of the simulated IOD amplitude vs projected zonal wind change in the CEIO for SON under global warming in 19 CMIP5 CGCMs. The IOD amplitude is defined as the standard deviation of the DMI proposed by Saji et al. (1999). The error bars in (a) indicate the standard deviation spread among CMIP5 CGCMs. The red line in (b) denotes the observed IOD amplitude. The intermodel correlation (r = −0.82) is shown in (b) with one outlier (M2) excluded.
Citation: Journal of Climate 28, 8; 10.1175/JCLI-D-14-00740.1

(a) Comparison of monthly IOD amplitudes between observations and the MME simulation. (b) Scatterplot of the simulated IOD amplitude vs projected zonal wind change in the CEIO for SON under global warming in 19 CMIP5 CGCMs. The IOD amplitude is defined as the standard deviation of the DMI proposed by Saji et al. (1999). The error bars in (a) indicate the standard deviation spread among CMIP5 CGCMs. The red line in (b) denotes the observed IOD amplitude. The intermodel correlation (r = −0.82) is shown in (b) with one outlier (M2) excluded.
Citation: Journal of Climate 28, 8; 10.1175/JCLI-D-14-00740.1
(a) Comparison of monthly IOD amplitudes between observations and the MME simulation. (b) Scatterplot of the simulated IOD amplitude vs projected zonal wind change in the CEIO for SON under global warming in 19 CMIP5 CGCMs. The IOD amplitude is defined as the standard deviation of the DMI proposed by Saji et al. (1999). The error bars in (a) indicate the standard deviation spread among CMIP5 CGCMs. The red line in (b) denotes the observed IOD amplitude. The intermodel correlation (r = −0.82) is shown in (b) with one outlier (M2) excluded.
Citation: Journal of Climate 28, 8; 10.1175/JCLI-D-14-00740.1
Our recent research (Li et al. 2015) suggests that this typical easterly wind error along the equatorial IO could induce a thermocline dome that is too deep over the southwestern IO (SWIO) in CGCMs by forcing a westward-propagating downwelling Rossby wave in the tropical southern IO, extremely similar to a southern IO oceanic Rossby wave response to El Niño–forced equatorial easterly wind anomalies in nature (Xie et al. 2002; Du et al. 2009). Because of the deep thermocline bias over the SWIO, a thermocline feedback on SST that is too weak there leads to a suppressed simulation amplitude of interannual variability for the IO basin (IOB; Klein et al. 1999; Lau and Nath 2000) mode in CGCMs and possibly limits the CGCMs’ skill in predicting the IOB warming following El Niño and extreme climate and weather events over the IO and rim countries/regions such as East Asia that are affected by the IOB (Yang et al. 2007; Xie et al. 2009; Kosaka et al. 2013; Li et al. 2015).
Most CGCMs project an IOD-like pattern of coupled ocean–atmospheric climate changes in the SON mean state over the tropical IO under global warming, with equatorial easterly wind anomalies (i.e., a weakened tropical Walker circulation; Knutson and Manabe 1995; Held and Soden 2006; Vecchi and Soden 2007), as well as a physically consistent west-minus-east SST gradient, the precipitation dipole, and the shoaling thermocline in the equatorial eastern IO (Zheng et al. 2010, 2013; Cai et al. 2013). This climate change pattern has important consequences to the IO and its surrounding countries (Saji et al. 1999; Hashizume et al. 2009; Weller and Cai 2013a,b; Cai et al. 2014). For example, attributed to such an IOD-like future change for the mean state in the global warming scenario, the CMIP5 ensemble of CGCMs forced by a scenario of high greenhouse gas emissions (RCP8.5 runs) commonly projects an increased frequency of extreme positive IOD events by almost three times from about one event every 17 years during the twentieth century to about one event every 6 years during the twenty-first century (Cai et al. 2014), with an increasing risk of extreme climate and weather events over Indonesia and East Africa (Saji et al. 1999; Hashizume et al. 2009; Weller and Cai 2013a,b).
In particular, the Intergovernmental Panel on Climate Change (IPCC) Fifth Assessment Report (AR5) characterized this IOD-like projected pattern in the SON mean state as robust based on the consistency among climate models (Christensen et al. 2014), but our results cast doubts on this conclusion since CGCMs tend to feature a Bjerknes feedback in SON that is too strong, which produces the IOD pattern in the first place. Figure 13b examines the relationship between the simulated present IOD amplitude and projected zonal wind change over the CEIO for SON under global warming among 19 CMIP5 CGCMs. The red line denotes the observed amplitude of interannual IOD variability. Indeed, models with a larger present IOD amplitude bias tend to generate a stronger IOD-like change pattern of future climate in equatorial IO zonal wind for SON in the context of global warming, and the corresponding intermodel correlation reaches −0.82 with one outlier (M2) excluded. The similar intermodel spread relationship between the present-day IOD amplitude simulation and projected SST/precipitation dipole change in the future can be also found (not shown; Weller and Cai 2013b). In fact, the projected IOD-like mean state future change in equatorial IO zonal wind for SON under global warming would be not significant (nearly zero change in CEIO zonal wind; see Fig. 13b) after calibrating the present-day climate simulation to observations in light of such a strong intermodel spread linear correlation between the present-day IOD amplitude simulation bias and future IOD-like climate projection. Considering the South Asian summer monsoon origin of the biased tropical IO mean state and exaggerated IOD amplitude in CMIP5 CGCMs (Fig. 12), the present work implies that reducing JJA monsoon simulation errors would potentially increase our confidence for the reliability of regional future climate projections by CGCMs.
6. Summary
The tropical IO is unique in its strong interaction with the great monsoon of South Asia. The southwest summer monsoon is too weak over the Arabian Sea in most CMIP5 models. This monsoon bias creates a warm SST bias over the western equatorial IO. In SON, Bjerknes feedback kicks in to amplify biases into an IOD-like pattern, with easterly wind errors and a too-steep eastward shoaling of the thermocline in the equatorial IO (Fig. 12). The seasonally dependent biases in the mean state affect inadvertently the simulation of interannual variability and projection of future climate in the region. Specifically, the excessive shoaling of the thermocline in the eastern equatorial IO causes too strong a Bjerknes feedback, resulting in an excess in the amplitude of interannual IOD variability. While the intermodel consistency led the IPCC AR5 to conclude that the future IOD-like climate change is robust, our results cast doubts on the reliability of this mean state future projection since models tend to exaggerate Bjerknes feedback that produces the IOD pattern in the first place. Such an IOD-like future change in the mean state is climatically important, which would result in more frequent occurrences of extreme positive IOD events in the future (Cai et al. 2014), with a potentially increasing risk of extreme climate and weather events in the regions affected by the IOD such as Indonesia and East Africa (Saji et al. 1999; Hashizume et al. 2009; Weller and Cai 2013a,b).
This example illustrates the need for model evaluation to go beyond simple performance metrics like the annual-mean SST but to assess physical processes like Bjerknes feedback. In the monsoonal IO, mutually consistent representations of ocean–land–atmospheric processes and their interactions are key to improving climate models. The benefits of improved seasonal prediction and regional climate projection are enormous for more than a billion people living under the monsoon and affected by the IO.
Acknowledgments
This work was supported by the National Basic Research Program of China (Grants 2012CB955603 and 2010CB950302), the Natural Science Foundation of China (Grant 41406026), the Pearl River Nova Program of Guangzhou, the Technology Foundation for Selected Overseas Chinese Scholars (Ministry of Human Resources and Social Security of the People’s Republic of China), the Open Project Program of Key Laboratory of Meteorological Disaster of Ministry of Education (Nanjing University of Information Science and Technology; Grant KLME1402), the U.S. National Science Foundation, the CAS/SAFEA International Partnership Program for Creative Research Teams, and the Open Project Program of State Key Laboratory of Tropical Oceanography (Grant LTOZZ1202). The authors are grateful to Dr. Riyu Lu for helpful comments. We also wish to thank the climate modeling groups (Table 1) for producing and making available their model output, the WCRP’s Working Group on Coupled Modeling (WGCM) for organizing the CMIP5 analysis activity, the Program for Climate Model Diagnostics and Intercomparison (PCMDI) for collecting and archiving the CMIP5 multimodel data, and the Office of Science U.S. Department of Energy for supporting these datasets in partnership with the Global Organization for Earth System Science Portals.
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