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			<titleStmt><title level='a'>Reconciling Roles of External Forcing and Internal Variability in Indian Ocean Decadal Variability Since 1920</title></titleStmt>
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				<publisher></publisher>
				<date>05/16/2022</date>
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				<bibl> 
					<idno type="par_id">10327185</idno>
					<idno type="doi">10.1029/2021GL097198</idno>
					<title level='j'>Geophysical Research Letters</title>
<idno>0094-8276</idno>
<biblScope unit="volume">49</biblScope>
<biblScope unit="issue">9</biblScope>					

					<author>Wenjian Hua</author><author>Aiguo Dai</author><author>Minhua Qin</author>
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			<abstract><ab><![CDATA[]]></ab></abstract>
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<div xmlns="http://www.tei-c.org/ns/1.0"><head n="1.">Introduction</head><p>The Indian Ocean has experienced a pronounced warming trend since the early 20th century <ref type="bibr">(Deser et al., 2010)</ref>, which increasingly affects Indo-Pacific climate <ref type="bibr">(Li et al., 2016;</ref><ref type="bibr">Luo et al., 2012;</ref><ref type="bibr">Xie et al., 2009;</ref><ref type="bibr">Zhang et al., 2019)</ref>. On decadal time scales, a basin-wide warming or cooling mode dominates the variability in the Indian Ocean sea surface temperatures (SSTs) since 1900, which is referred to as the Indian Ocean basin mode (IOBM) <ref type="bibr">(Han, Meehl et al., 2014;</ref><ref type="bibr">Han, Vialard et al., 2014)</ref>. Decadal variations of the Indian Ocean basin mode (IOBM) have significant impacts on regional (e.g., East Asian) and global climate <ref type="bibr">(Cai et al., 2019;</ref><ref type="bibr">Han, Vialard et al., 2014;</ref><ref type="bibr">Luo et al., 2012)</ref>; thus, improved understanding of the decadal Indian Ocean basin mode (IOBM) variations is of great importance for future climate prediction.</p><p>The prevailing view is that decadal IOBM variations are a response to remote forcing from the Interdecadal Pacific Oscillation (IPO) <ref type="bibr">(Dong et al., 2016;</ref><ref type="bibr">Han, Meehl et al., 2014;</ref><ref type="bibr">Han, Vialard et al., 2014)</ref>, whose variations have resulted primarily from internal climate variability since 1920 <ref type="bibr">(Hua et al., 2018)</ref>. However, the relationship between the decadal variations of the IOBM and Interdecadal Pacific Oscillation (IPO) is nonstationary and has changed in recent decades <ref type="bibr">(Dong &amp; McPhaden, 2017;</ref><ref type="bibr">Han, Meehl et al., 2014;</ref><ref type="bibr">Zhang et al., 2018)</ref>. Specifically, the decadal IOBM variations were positively correlated with the Interdecadal Pacific Oscillation (IPO) before the mid-1980s, but the correlation became negative afterwards <ref type="bibr">(Dong &amp; McPhaden, 2017;</ref><ref type="bibr">Han, Meehl</ref> Abstract On decadal time scales, Indian Ocean sea surface temperatures (SSTs) exhibit coherent basinwide changes, but their origins are not well understood. Here we analyze observations and model simulations from Coupled Model Intercomparison Project Phase 6 and Community Earth System Model Version 1 to quantify the roles of external forcing and internal climate variability in causing Indian Ocean decadal SST variations. Results show that both external forcing and internal variability since 1920 have contributed to the observed decadal variations in linearly detrended Indian Ocean SSTs, and they exhibit an out-of-phase relationship since the 1950s. The internally-generated variations arise from remote influences from the tropical Pacific and possible contributions from internal local processes, while the influence from the Atlantic Multidecadal Oscillation is opposite to that of the Interdecadal Pacific Oscillation. Decadal SST changes caused by nonlinear variations in greenhouse gases and aerosols are roughly out-of-phase with the internal variability, thus dampening observed SST variations since the 1950s.  <ref type="bibr">et al., 2014)</ref>. Previous studies have attributed this change to greenhouse gas (GHG) and volcanic forcings <ref type="bibr">(Dong &amp; McPhaden, 2017;</ref><ref type="bibr">Zhang et al., 2018)</ref>. However, a changed relationship also occurred in the 1960s, but it has received little attention <ref type="bibr">(Dong &amp; McPhaden, 2017)</ref>. Thus, the competing effects on the decadal IOBM from external forcing (e.g., greenhouse gases (GHGs) and aerosols) and internal climate variability (e.g., IPO) during the 20th century are still not well understood. On the other hand, the remote influence from the North Atlantic Ocean may also have contributed to multidecadal SST variations in the Indian Ocean <ref type="bibr">(Li et al., 2016;</ref><ref type="bibr">McGregor et al., 2014)</ref>. The warming since the 1990s in the tropical and North Atlantic Ocean led to Indo-Pacific Ocean SST variations with cooling in the central Eastern Pacific and warming in the Western Pacific and Indian Ocean <ref type="bibr">(Li et al., 2016)</ref>. The recent warm anomaly in the North Atlantic is partly due to a warm phase of the Atlantic Multidecadal Oscillation (AMO), thus the AMO may also modulate the Indian Ocean SSTs and alter their relationship with the IPO <ref type="bibr">(Cai et al., 2019;</ref><ref type="bibr">Wang, 2019)</ref>. As the AMO cycles resulted from both internal climate variability and aerosol forcing <ref type="bibr">(Hua et al., 2019;</ref><ref type="bibr">Qin et al., 2020a</ref><ref type="bibr">Qin et al., , 2020b;;</ref><ref type="bibr">2022)</ref>, further research is needed to quantitatively determine the relative importance of external forcing and internal variability for the decadal SST variations in the Indian Ocean.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>Plain Language Summary</head><p>By analyzing observations and climate model simulations, this study aims to quantify the roles of external forcing and internal variability in the Indian Ocean decadal SST variations since 1920. Our findings should help improve current understanding of Indian Ocean decadal variability, especially its response to external forcing and internal variability.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="2.">Data, Model Simulations, and Methods</head></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="2.1.">Observational Data and Model Simulations</head><p>We used the monthly SST data from the Hadley Centre Global Sea Ice and Sea Surface Temperature (HadISST) <ref type="bibr">(Rayner et al., 2003)</ref>. We analyzed the large ensemble of historical all-forcing (i.e., Community Earth System Model Version 1 Large Ensemble, CESM1-LE) and single forcing <ref type="bibr">(Deser et al., 2020)</ref> simulations and an 1800 yr fully coupled preindustrial control run by the Community Earth System Model Version 1 (CESM1) model <ref type="bibr">(Kay et al., 2015)</ref>. We also analyzed the coupled climate model simulations from the Coupled Model Intercomparison Project Phase 6 (CMIP6) <ref type="bibr">(Eyring et al., 2016</ref>; Table <ref type="table">S1</ref> in Supporting Information S1). See Supporting Information S1 for more information about the CESM1 and CMIP6 experiments.</p><p>We used the coupled climate model simulations from the pacemaker experiments forced by time-varying SSTs over a limited domain by CESM1 <ref type="bibr">(Deser et al., 2017;</ref><ref type="bibr">Yang et al., 2020)</ref>. The observed SST evolutions over the North Atlantic, tropical Pacific, or tropical Indian Ocean are maintained in each pacemaker simulation during 1920-2013, with the rest of the world being fully coupled. All external (both anthropogenic and natural) forcings are identical to the CESM1-LE, aside from stratospheric ozone <ref type="bibr">(Yang et al., 2020)</ref>. Note that the difference in external forcing is found to be negligible and has minimal effects on the tropical climate <ref type="bibr">(Yang et al., 2020;</ref><ref type="bibr">Zhang et al., 2019)</ref>. The CESM1 pacemaker ensembles simulate IPO or AMO evolution in line with observations, whereas the CESM1-LE or CMIP6 ensembles simulate their own random or realization-dependent IPO or AMO variations.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="2.2.">Methods</head><p>By definition, an oscillation is the deviation from the long-term mean (for stationary series) or the long-term trend (for nonstationary series) <ref type="bibr">(Qin et al., 2022)</ref>. Therefore, we removed the linear trend in all data series over 1920-2020 (including external forcing data) to focus on the nonlinear, decadal variations. However, such linearly-detrended variations (e.g., in observed SSTs, <ref type="bibr">Dong &amp; McPhaden, 2017;</ref><ref type="bibr">Han, Meehl et al., 2014;</ref><ref type="bibr">Zhang et al., 2018)</ref> may still include externally-forced (EX) changes from external forcing <ref type="bibr">(Dai et al., 2015;</ref><ref type="bibr">Qin et al., 2020a</ref><ref type="bibr">Qin et al., , 2020b</ref><ref type="bibr">Qin et al., , 2022;;</ref><ref type="bibr">Steinman et al., 2015)</ref> (Figure <ref type="figure">S1</ref> in Supporting Information S1). To separate the EX and internally-generated (IV) components in the observations, we first used the global-mean SST from the CESM1 ensemble mean (EM) or CMIP6 multi-model ensemble mean (MMM) of the all-forcing simulations as the EX signal during 1920-2020 for EM or 1920-2014 for MMM. We then removed the changes and variations (the EX component) at each grid point associated with this forced signal from the observed SST through linear regression <ref type="bibr">(Dai et al., 2015;</ref><ref type="bibr">Qin et al., 2020a)</ref>, and the residual was considered as the IV component. This method has been widely used in obtaining the EX and IV components in the observations <ref type="bibr">(Dai &amp; Bloecker, 2019;</ref><ref type="bibr">Dai et al., 2015;</ref><ref type="bibr">Hua et al., 2021;</ref><ref type="bibr">Qin et al., 2020a</ref><ref type="bibr">Qin et al., , 2020b</ref><ref type="bibr">Qin et al., , 2022))</ref>.</p><p>We defined a total decadal IOBM index (referred to as IOBM) as the linearly detrended and smoothed SST anomalies from observations or model simulations averaged over the Indian Ocean (30&#176;S-30&#176;N, 40&#176;E-115&#176;E). The internally-generated decadal IOBM index (IOBM IV ) was defined similarly by averaging the smoothed SST anomalies resulting from internal variability over the Indian Ocean. The externally-forced IOBM index (IOBM EX ) was defined as the IOBM minus IOBM IV index. The results are similar when using the principal component of the leading empirical orthogonal function (EOF) mode of the linearly detrended SST fields over the Indian Ocean to represent these IOBM indices (Figures <ref type="figure">1a</ref> and <ref type="figure">1b</ref> and Figures S2a and S2b in Supporting Information S1). We applied a low-pass Lanczos filter to emphasize decadal to multidecadal variations <ref type="bibr">(Hua et al., 2018)</ref>. A correlation coefficient (r) and its significance level (p value) were calculated between two variables (e.g., decadal IOBM, AMO or IPO) to quantify their association. The significance level was estimated based on a two-sided Student's t test with an estimated effective degree of freedom to account for autocorrelation <ref type="bibr">(Davis, 1976;</ref><ref type="bibr">Qin et al., 2020a)</ref>.</p><p>As the 20-member Pacific pacemaker ensemble simulations share the same external forcing (as in the CESM1-LE) and tropical Eastern Pacific (TEP) SST variations, we use their EM to represent the TEP induced variations. Since the internal climate variability among the ensemble runs is uncorrelated, we use the EM of the 40-member historical runs from CESM1-LE to represent the forced change. Thus, the EM difference between the two experiments results mainly from the internally-generated TEP induced variations. Similar approaches have been applied to analyze the 10-member Atlantic and Indian pacemaker ensembles (i.e., internally-generated Atlantic-induced or Indian-induced variations). HUA ET AL.</p><p>10.1029/2021GL097198 of 9</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="3.">Results</head></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="3.1.">Internal Versus Forced Indian Decadal Variations</head><p>The IOBM IV (blue line in Figure <ref type="figure">1a</ref>) shows large decadal variations, with negative anomalies before 1935, from the mid-1940s to the mid-1960s and after the early 2000s, and positive anomalies around 1940 and from the late 1960s to the early 2000s. The IOBM IV -related decadal SST anomalies exhibit a basin-wide warm pattern during the positive phases, with large (weak) anomalies from 5&#176;S to 10&#176;N (10&#176;-20&#176;S, Figure <ref type="figure">1b</ref>). Such phase changes and spatial patterns are also evident in other SST data and are insensitive to the methods applied to estimate the IV-related component (Figure <ref type="figure">S3</ref> in Supporting Information S1). Note that the total decadal IOBM variations (black line in Figure <ref type="figure">2a</ref>) and its internal component IOBM IV (blue line in Figure <ref type="figure">2a</ref>) diverge substantially since the 1950s, suggesting a large role of external forcing during the last 70 years (Figure <ref type="figure">2a</ref>). IV dominates the Indian SST variations and contributes more than EX to the decadal trends in Indian SSTs during 1930-1986 (Figure <ref type="figure">2b</ref>). Furthermore, multidecadal variations in EX contribute a larger warming trend during the recent periods since the 1990s (Figure <ref type="figure">2b</ref>).</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="3.2.">Origins of the Internal Decadal IOBM</head><p>The phase changes of IOBM IV are broadly consistent with those of the internally-generated IPO (IPO IV ), except for the positive phase transition around the mid-1960s (Figure <ref type="figure">1a</ref>). We note that the internally-generated AMO (AMO IV ) entered a negative phase around this time (red line in Figure <ref type="figure">1a</ref>).</p><p>To examine the relationship between the AMO IV and IOBM IV , we analyzed the SST ensemble-mean difference fields between the CESM1 Atlantic pacemaker ensemble simulations and its all-forcing historical simulations to quantify Atlantic internal variations and the Pacific and Indian Ocean responses to the Atlantic internal variations.</p><p>Our results show that the Atlantic internal SST variations are dominated by the AMO IV and the Pacific SST response to the Atlantic SST variations shows an IPO-like pattern (Figure <ref type="figure">S4</ref> in Supporting Information S1). Significant anti-correlation (r = -0.67, p &lt; 0.05) between the AMO IV and Pacific SST decadal variations exists in the Atlantic pacemaker simulations after removing the EX changes. That is, a warm AMO IV could lead to a cold IPO-like SST pattern in the Pacific Ocean, consistent with previous findings <ref type="bibr">(Meehl et al., 2021;</ref><ref type="bibr">Ruprich-Robert et al., 2017)</ref>. In the Indian Ocean, there exists a basin-wide SST anomaly pattern generated by Atlantic internal variations (Figure <ref type="figure">3b</ref>). In general, a North Atlantic warm anomaly leads to a cold anomaly in the tropical central eastern Pacific, but a warm anomaly in the western Pacific and Indian oceans (Figures <ref type="figure">3b</ref> and <ref type="figure">S4</ref> in Supporting Information S1), through the atmospheric bridge <ref type="bibr">(Li et al., 2016;</ref><ref type="bibr">McGregor et al., 2014)</ref>. Furthermore, we also examine the two leading EOFs of the Indian Ocean SST anomaly fields generated by Atlantic internal SST variations (Figure <ref type="figure">S5</ref> in Supporting Information S1). The first EOF shows a cold (warm) anomaly in the western (eastern) Indian Ocean, whose temporal coefficients are anti-correlated (r = -0.87, p &lt; 0.05) with those of the positive IPO-like SST pattern in the Pacific generated by the same Atlantic SST forcing, while the second EOF exhibits an IOBM-like SST variations, which is similar to the total Indian SST variations from observations (Figure <ref type="figure">3c</ref> and Figure <ref type="figure">S5d</ref> in Supporting Information S1), although it is not significantly correlated with the AMO IV . Our results suggest that the AMO IV may play a role in modulating the Indian decadal SST variations, and the AMO's influence may partly come through the Pacific Ocean as the Indian response (i.e., EOF1) and the IPO-like response in the Pacific are highly correlated in the Atlantic pacemaker runs.</p><p>Consistent with previous studies <ref type="bibr">(Dong et al., 2016;</ref><ref type="bibr">Han, Meehl et al., 2014)</ref>, in the Pacific pacemaker simulations, the IPO works to generate in-phase (r = 0.91, p &lt; 0.05) decadal SST variations in the Indian Ocean (Figure <ref type="figure">S6</ref> in Supporting Information S1), with the phase transitions around the 1940, 1970 and 1990s. The IPO-like SST forcing in the tropical Pacific also leads to an in-phase SST response in the tropical Atlantic (i.e., a warm anomaly in the central eastern Pacific leads to a warm anomaly in the tropical Atlantic), consistent with previous findings <ref type="bibr">(Meehl et al., 2021)</ref>. Note that the simulated IPO IV -induced decadal SST variations in the Indian Ocean show an Indian Ocean dipole (IOD)-like pattern (Figures <ref type="figure">3e</ref> and <ref type="figure">3f</ref>). We also examined the IV-induced decadal SST variations in a long preindustrial control run and 40-member all-forcing simulations by the CESM1 (Figures S7 and S8 in Supporting Information S1). The IPO IV -related SST anomalies in the Indian Ocean also show an IOD-like pattern (Figures S7c and S8 in Supporting Information S1). Furthermore, the IOD-like SST biases also exist in some CMIP6 models (Figure <ref type="figure">S9</ref> in Supporting Information S1). This deficiency may be related to an overestimation of upwelling processes off Sumatra in some climate models, including CESM1 <ref type="bibr">(Cai &amp; Cowan, 2013;</ref><ref type="bibr">Du et al., 2013)</ref>. Previous studies suggest that the mean depth of the thermocline off Sumatra in climate models is too shallow, inducing a strong cold tongue structure <ref type="bibr">(Zheng et al., 2013)</ref>. As the CanESM5 model broadly captures the internal IOBM pattern (Figure <ref type="figure">S9</ref> in Supporting Information S1), we also analyzed the CanESM5 large ensembles for comparison with the results from the CESM1-LE. Overall, the results are similar when using the CanESM5 large ensembles to define the internal and forced Indian decadal variations (Figure <ref type="figure">S10</ref> in Supporting Information S1). To find out to what extent the observed Indian decadal SST variations are forced by the remote influences from the Pacific and Atlantic Oceans, we further examine the SST changes between the warm and cold phases of the IOBM IV . As the IOBM IV is broadly in-phase (out-of-phase) with IPO (AMO) since 1970s (Figure <ref type="figure">1a</ref>), we focus on the period between 2005 and 2013 (an IOBM IV cold phase) and 1976-1995 (an IOBM IV warm phase). In the observations, the IOBM IV -related SST variations exhibit a decadal cooling from 1976 to 1995 to 2005-2013, with a cooling trend from 1987 to 2013 (Figure <ref type="figure">S11</ref> in Supporting Information S1). The influence of the IPO on the decadal IOBM is opposite to that of the AMO, and these two modes show similar magnitudes. The sum of these two components reflects an estimate of the IV in observations due to tropical Pacific and North Atlantic SST variations, although this linear summation does not take into account inter-basin interactions <ref type="bibr">(Cai et al., 2019)</ref>. The residual was mainly considered as the local variability and other remote influence. Furthermore, we also used the EM difference between the CESM1 Indian pacemaker simulations and all-forcing historical runs by CESM1 to represent the total internal Indian Ocean variations (Figure <ref type="figure">S11</ref> in Supporting Information S1), which ideally should match the total internal variations from observations (i.e., IV component). However, there exist biases between the observations-based method and pacemaker framework. The IOBM IV -related SST variations (Figure <ref type="figure">3c</ref>) in response to Atlantic internal SST forcing (i.e., AMO IV ) contribute to the decadal warming. Note that the IPO and AMO may not be independent from each other (d <ref type="bibr">'Orgeville &amp; Peltier, 2007;</ref><ref type="bibr">Kucharski et al., 2016;</ref><ref type="bibr">Nigam et al., 2020;</ref><ref type="bibr">Zhang &amp; Delworth, 2007)</ref>. There exist two-way connections between the Pacific and Atlantic Oceans both in observations and models <ref type="bibr">(Cai et al., 2019;</ref><ref type="bibr">Meehl et al., 2021;</ref><ref type="bibr">Wang, 2019)</ref>.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="3.3.">Impacts of External Forcing</head><p>Decadal changes in external forcing, such as GHGs and aerosols, cause the IOBM (black line in Figure <ref type="figure">2</ref>) to stay in a cold phase until the early 1980s, while the IOBM IV already entered a warm phase around 1965 (Figure <ref type="figure">2a</ref>). Since the early 2000s, external forcing keeps the IOBM in a warm phase while its internal component enters a new cold phase (Figure <ref type="figure">2a</ref>). We further examine individual external forcing agents (e.g., GHG and aerosols) that may contribute to Indian decadal variations. Note that we linearly detrended the EX changes in order to focus on the forced nonlinear component. Thus, the forced decadal to multidecadal variations examined here do not include the changes associated with the long-term liner trend. GHG-forced Indian decadal SST variations (with its linear trend over 1920-2020 removed) show a downward trend from 1920 to 1965 and an upward trend since the late 1970s, contributing to the upward trend for the IOBM since the late 1970s (Figure <ref type="figure">4a</ref>). GHG-forced SST variations show mostly in phase variations with the EX component in Indian SSTs since 1920 (Figure <ref type="figure">4a</ref>) and the phase change during the 1940s in the GHG-induced SST anomalies is also roughly consistent with IOBM IV 's phase change during that period (Figures <ref type="figure">2a</ref> and <ref type="figure">4a</ref>). Thus, the linearly-detrended GHG-forced variations enhance (suppress) the total Indian SST decadal anomalies before the mid-1940s and after the mid-1990s (between them) (Figure <ref type="figure">4a</ref>).</p><p>In addition to GHGs, non-GHG forcing also contribute to the Indian SST variations. Volcanic aerosols caused strong decadal cold anomaly in the Indian Ocean from 1963 to 1966 and from 1991 to 1994 due to the 1963 Mount Agung and 1991 Pinatubo eruptions <ref type="bibr">(Maher et al., 2015)</ref>, while HUA ET AL. 10.1029/2021GL097198 of 9</p><p>linearly-detrended anthropogenic aerosol anomalies (similar to an AMO-like oscillation, <ref type="bibr">Qin et al., 2020a)</ref> led to steady cooling from &#8764; 1965 to 2000 (Figure <ref type="figure">4b</ref>). Such cooling kept the IOBM at a low level until the 1970s, while its internal component rose steadily since &#8764;1951 (Figure <ref type="figure">2a</ref>). For the period since the early 2000s, the decadal aerosol forcing led to Indian warming and thus contributed to the recent IOBM warm anomalies (Figures <ref type="figure">4b</ref> and <ref type="figure">4c</ref>). Both volcanic and anthropogenic aerosols contributed roughly equally to the non-GHG forced Indian SST variations since the 1970s. Furthermore, decadal changes in non-GHG forcing are roughly out-of-phase with the IOBM IV since the 1950s (Figures <ref type="figure">2a</ref> and <ref type="figure">4b</ref> and <ref type="figure">4c</ref>).</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="4.">Conclusions and Discussion</head><p>To quantify the roles of external forcing and internal climate variability in Indian Ocean decadal SST variations (with a focus on the decadal IOBM), we analyzed observations and model simulations from CMIP6 and CESM1 since 1920. We found that the internally-generated decadal IOBM variations from 1920 to 2020 may arise from remote influences from the tropical Pacific and North Atlantic Oceans and possible contributions from the local dynamics of the Indian Ocean, rather than being driven primarily by the tropical Pacific SST variations (i.e., IPO) as previously thought <ref type="bibr">(Dong e al., 2016;</ref><ref type="bibr">Han, Meehl et al., 2014)</ref>. The internally-generated decadal IOBM, IPO and AMO exhibit strong correlations, although the AMO may have an opposite effect. Our results also suggest that the decadal variations in GHGs and aerosols have dampened the internally-induced decadal IOBM variations since the 1950s. Therefore, both external forcing and internal variability have contributed to the observed decadal IOBM variations, especially since the 1950s.</p><p>In this study, we assumed that the unforced internal variability (including any internal decadal variations) comes from the tropical Pacific and North Atlantic oceans and possible contributions from the local dynamics of the Indian Ocean. However, remote influences from other regions may also play a role <ref type="bibr">(Krishnamurthy &amp; Krishnamurthy, 2016)</ref>. For example, the Southern Ocean <ref type="bibr">(Zhang et al., 2021)</ref>, South Atlantic <ref type="bibr">(Xue et al., 2018)</ref>, extratropical Pacific <ref type="bibr">(Krishnamurthy &amp; Krishnamurthy, 2016)</ref>, and the North Atlantic Oscillation <ref type="bibr">(Xie et al., 2021)</ref> may contribute to the Indian Ocean multidecadal variability. We also notice that current climate models (e.g., CESM1) tend to overestimate the magnitude of the SST variability in the southeastern Indian Ocean, which implies that the models may not realistically simulate the decadal to multidecadal variations <ref type="bibr">(Kravtsov et al., 2018;</ref><ref type="bibr">Mann et al., 2020)</ref> or inter-basin teleconnection <ref type="bibr">(Cai et al., 2019;</ref><ref type="bibr">Li et al., 2016)</ref> for the Indian Ocean. The CESM1 Indian Ocean pacemaker simulation fails to follow the observed decadal IOBM well since the 1980s, leading to underestimate (overestimate) the observed amplitudes from the 1980s to the 1990s (since the late 1990s) (Figure <ref type="figure">S12</ref> in Supporting Information S1). Therefore, the modeled IOBM results in smaller <ref type="bibr">2005</ref><ref type="bibr">-2013</ref><ref type="bibr">minus 1976</ref><ref type="bibr">-1995 decadal differences (Figure S11 in Supporting Information S1)</ref>. We also further separated the Indian basin into the western and eastern parts in order to avoid cancellation of the IOD-like biases. The estimated decadal SST variations over the western Indian Ocean forced by the tropical Pacific are more than twice as large as the decadal IOBM <ref type="bibr">(Figures S11 and S13</ref> in Supporting Information S1). Thus, the simulated IPO-induced decadal IOBM variations could be underestimated, as the IOBM can be contaminated by its . For the SST variations induced by the North Atlantic Ocean, the magnitude is similar when using the whole Indian Ocean or western part to define the IOBM, although the AMO's influence may partly come through the Pacific Ocean. Overall, our further analyses suggest that the CESM1 model cannot reproduce the internal decadal SST variations since the 1980s and decadal dominance of the IOD mainly influences Indian SST responses to tropical Pacific SST forcing. These two issues may underestimate the contributions of local variability and tropical Pacific SST forcing to the recent decadal IOBM since the 1980s. Note that the IOD-like SST biases may have an impact on Pacific SST variations <ref type="bibr">(Cai et al., 2019)</ref>. For example, there exists interactive feedback between the IOD and El Ni&#241;o/Southern Oscillation on interannual time scales <ref type="bibr">(Izumo et al., 2010;</ref><ref type="bibr">Kug &amp; Kang, 2006)</ref>. Further efforts to reduce the common model biases could help advance our understanding of Indian Ocean decadal variability.</p><p>Province (BK20200096). A. Dai was supported by the National Science Foundation (grant nos. <ref type="bibr">AGS-2015780 and OISE-1743738)</ref>. We acknowledge the CESM Large Ensemble Community Project and supercomputing resources provided by NSF/CISL/Yellowstone. We also acknowledge the World Climate Research Programme, which, through its Working Group on Coupled Modelling, coordinated and promoted CMIP6. We thank the climate modeling groups for producing and making available their model output, the Earth System Grid Federation (ESGF) for archiving the data and providing access, and the multiple funding agencies who support CMIP6 and ESGF. The authors acknowledge the editor and two anonymous reviewers for their constructive comments, which help greatly improve this manuscript.</p></div></body>
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