1. Introduction
Tropical cyclones (TCs) are among the most destructive weather systems in the world and span the global tropical oceans. The Indian Ocean is one of the oceans prone to TCs. In the northern Indian Ocean, including the Bay of Bengal (BOB) and Arabian Sea (AS), TCs exhibit a unique bimodal seasonal distribution caused by unfavorable environmental conditions during the monsoon season (Li et al. 2013). Peak TC activity occurs during September–November, with a secondary maximum during April–June (Fig. 1a). In the southern Indian Ocean, TC genesis (TCG) gradually increases in the season of September–November (SON) and reaches the peak season in December–March (Fig. 1b).

Monthly frequency distribution of TCG in the (a) northern and (b) southern Indian Ocean during 1981–2015. The red box highlights the season of SON on which this study focuses.
Citation: Journal of Climate 32, 19; 10.1175/JCLI-D-19-0042.1

Monthly frequency distribution of TCG in the (a) northern and (b) southern Indian Ocean during 1981–2015. The red box highlights the season of SON on which this study focuses.
Citation: Journal of Climate 32, 19; 10.1175/JCLI-D-19-0042.1
Monthly frequency distribution of TCG in the (a) northern and (b) southern Indian Ocean during 1981–2015. The red box highlights the season of SON on which this study focuses.
Citation: Journal of Climate 32, 19; 10.1175/JCLI-D-19-0042.1
The primary source of energy for TCs is the heat transferred from ocean to atmosphere; thus, the local sea thermal states are very important to TC activities (Gray 1968; Rotunno and Emanuel 1987). The Indian Ocean dipole (IOD) mode, of which the sea surface temperature anomalies (SSTAs) vary oppositely between the western and southeastern tropical Indian Ocean, is a distinct mode in the Indian Ocean on interannual time scales (Saji et al. 1999; Webster et al. 1999). Although the SSTAs are asymmetric about the equator in the eastern Indian Ocean during IOD events, the induced wind curl anomalies are quite symmetric about the equator (Li et al. 2003; Schott et al. 2009). By modifying the local thermal states and large-scale atmospheric circulation, the IOD may exert a great influence on TC activities in both the southern and northern Indian Ocean (Singh 2008; Yuan and Cao 2013; Li et al. 2015; Li et al. 2016). Results of Yuan and Cao (2013) indicate that TC activities in the northern Indian Ocean are closely related to IOD events; that is, fewer (more) TCs occur in the BOB and AS regions during positive (negative) IOD years. Singh (2008) found a significant negative correlation between the September–October IOD index and the BOB TC frequency in November and suggested that, with a lead time of one month, the IOD could be a potential predictor of intense cyclones in November over the BOB. By compositing the monthly TC frequencies in positive and negative IOD years, Li et al. (2015, 2016) observed that TC frequencies over both the BOB and the southeastern Indian Ocean exhibit significant differences during October–November between positive and negative IOD years.
As a dominant interannual mode in the tropical oceans, El Niño–Southern Oscillation (ENSO) may also exert a remote influence on the genesis, frequency, track, and intensity of TCs over the Indian Ocean, through induced large-scale atmospheric circulation (e.g., Ho et al. 2006; Girishkumar and Ravichandran 2012; Ng and Chan 2012; Felton et al. 2013; Sumesh and Kumar 2013). Compared with El Niño, La Niña conditions offer a more favorable environment for TC activity over the BOB (Ng and Chan 2012; Felton et al. 2013; Mahala et al. 2015), especially in October–December (Girishkumar and Ravichandran 2012; Felton et al. 2013). In addition, Girishkumar et al. (2015) indicated that the ENSO–TC relationship in October–December over the BOB can be modified by the Pacific decadal oscillation, with a more significant relationship in warm Pacific decadal oscillation phases. Balaguru et al. (2016) also showed that ENSO induces a meridional dipole mode of TC activity in the BOB during the premonsoon season of May–June through a modulation of the monsoon circulation. ENSO can also modify TC activity in the southern Indian Ocean (Ho et al. 2006; Werner et al. 2012); more (fewer) TCs occur in the southwestern tropical Indian Ocean during El Niño (La Niña) years (Kuleshov et al. 2008; Ash and Matyas 2012).
Previous works have revealed that TC activities in several regions of the Indian Ocean, such as the BOB and the southwestern and southeastern Indian Ocean, may be influenced by both the local SSTAs in the tropical Indian Ocean and remote SSTAs in the tropical Pacific Ocean. However, these studies focused mainly on the influences of the IOD/ENSO on TC activities in one single sea region of the Indian Ocean. It should be noted that the IOD/ENSO-induced oceanic processes and atmospheric circulation anomalies are significant and widespread in both the northern and southern tropical Indian Oceans. However, the influences of the tropical Indo-Pacific Ocean SSTAs on the TC activities in the whole Indian Ocean on a basinwide scale are as yet unclear. Moreover, there remain some uncertainties over the extent of the IOD/ENSO link to the Indian Ocean TC activities. For example, the BOB TCs are found to be more active in the co-occurrences of La Niña and negative IOD years (Girishkumar and Ravichandran 2012; Mahala et al. 2015). However, composite analysis has shown that the differences of BOB TCG in October–November are significant between the positive and negative IOD years, but not significant between El Niño and La Niña years (Li et al. 2015). Also, in the southern Indian Ocean, Li et al. (2016) observed that the TC frequency in October–November is co-affected by El Niño and positive IOD events, but La Niña seems to have limited influence. Liu and Chan (2012) investigated the ENSO/IOD link to the TC activities in the southern Indo-Pacific Ocean, and suggested that ENSO and the IOD cannot be treated as separate modes. The atmospheric circulation anomalies induced by ENSO and the IOD are difficult to separate completely, especially on an interannual time scale (Saji et al. 1999; Yuan and Li 2008; Xie et al. 2009; Girishkumar and Ravichandran 2012). Thus, it is necessary to take the tropical Indo-Pacific Ocean as a whole to investigate its influence on the TCs in the Indian Ocean. This work mainly focuses on the basinwide scale TCG in the Indian Ocean and investigates the relationship between the Indian Ocean TCG and the SSTAs of the entire tropical Indo-Pacific Ocean.
As shown in Fig. 1, TCG in the north Indian Ocean exhibits a bimodal seasonal distribution, comprising 54.4% and 29.4% of the total TCG during the peak season of September–November and the secondary maximum during April–June, respectively, whereas in the southern Indian Ocean approximately 7.4% and 6.3% of the total TCG occurs during September–November and April–June, respectively. For the differences of the seasonal distribution of TCG and background circulations in the northern and southern Indian Ocean, we focus on the season of SON, which is the peak season of TCG in the northern Indian Ocean and the season that TCs begin to be more active in the southern Indian Ocean. SON is also a season of strong atmosphere–ocean interactions in the Indo-Pacific Ocean (Ju et al. 2004; Chen 2011; Lian et al. 2014), when the signals induced by both ENSO and the IOD are strong (Chen 2011; Lian et al. 2014) and may exert great influence on TCG in the Indian Ocean.
This paper is organized as follows: section 2 describes the dataset and methods used for the study. An overview of TCG over the Indian Ocean during 1981–2015 is presented in section 3. Section 4 shows the relationship between the TCG in the Indian Ocean and SSTAs in the tropical Indo-Pacific Ocean. Section 5 investigates the impact of tropical Indo-Pacific Ocean SSTAs on the TCG environments in the Indian Ocean. A summary of our findings is presented in section 6.
2. Data and methods
a. Datasets
The TC datasets during 1981–2015 are extracted from the Joint Typhoon Warning Center over the northern and southern Indian Ocean (Chu et al. 2002).The present study focuses exclusively on TCs with the maximum sustained wind speeds greater than 34 kt (17 m s−1); thus, only tropical storms and typhoons are considered.
The following datasets for the period 1981–2015 are also used: monthly atmospheric data at 0.75° × 0.75° resolution from the European Centre for Medium-Range Weather Forecasts interim reanalysis (ERA-Interim; Dee et al. 2011), and monthly SST on a 2° × 2° grid from version 3b of the Extended Reconstructed SST dataset of the National Oceanic and Atmospheric Administration (Smith et al. 2008).
b. The IOD mode index and Niño-3.4 index
Following Saji et al. (1999), the Indian Ocean dipole mode index (DMI) is defined as the differences of the averaged SON SSTAs between the western (10°S–10°N, 50°–70°E) and eastern (10°S–0°, 90°–110°E) tropical Indian Ocean. For ENSO, the averaged SON SSTAs in the Niño-3.4 region (5°N–5°S, 170°–120°W) are computed to represent the Niño-3.4 index. For ease of comparison, all variables are standardized by first subtracting the mean from the raw data, and then dividing the difference by the standard deviation. All discussion on the various time series is therefore based on standardized values, unless otherwise stated.
c. TC genesis potential index
d. Moisture budget diagnosis
In addition, empirical orthogonal function (EOF) analysis is used to reveal the spatiotemporal characteristics of TCG in the Indian Ocean. Singular value decomposition (SVD) analysis is carried out to verify the relationship between the TCG in the Indian Ocean and SSTAs in the tropical Indo-Pacific Ocean.
Correlation, regression, and composite analysis are also used in this paper. North’s significance test (North et al. 1982) is used for significance testing of the EOF and SVD analysis. The two-sided Student’s t test, which gives the probability that the means for two groups are statistically different at the 90% and 95% confidence levels, is used for significance testing of the composite analysis. Monthly anomalies of all quantities here are computed by removing the climatological monthly means.
3. Overview of TCG in the Indian Ocean
During the period 1981–2015, there were a total of 92 and 67 TCs generated in the northern and southern Indian Ocean in SON, respectively. In the northern Indian Ocean, most of the TCs are generated in the BOB and eastern AS. TCs form frequently in the regions of 60°–100°E around 10°S in the southern Indian Ocean (Fig. 2a). The frequency of TCG was also counted in each 5° × 5° box in the Indian Ocean, which measures how frequently TCs are formed within a specific grid box. Thus, we can use the TCG number in each box to investigate the spatiotemporal variations of TCG in the Indian Ocean.

(a) Geographical distribution of TCG number (shaded) in each 5° × 5° grid box during 1981–2015. (b) The distribution of GPI (shaded) during 1981–2015. The dots indicate TCG locations.
Citation: Journal of Climate 32, 19; 10.1175/JCLI-D-19-0042.1

(a) Geographical distribution of TCG number (shaded) in each 5° × 5° grid box during 1981–2015. (b) The distribution of GPI (shaded) during 1981–2015. The dots indicate TCG locations.
Citation: Journal of Climate 32, 19; 10.1175/JCLI-D-19-0042.1
(a) Geographical distribution of TCG number (shaded) in each 5° × 5° grid box during 1981–2015. (b) The distribution of GPI (shaded) during 1981–2015. The dots indicate TCG locations.
Citation: Journal of Climate 32, 19; 10.1175/JCLI-D-19-0042.1
EOF analysis is used to reveal the spatiotemporal characteristics of the TCG frequency in the Indian Ocean. The dominant first mode of EOF analysis (EOF1) of TCG shows a zonal dipole variation pattern in both the northern and southern Indian Ocean (Fig. 3a). The frequency of TCG varies oppositely in the east and west parts of the Indian Ocean, with high positive (negative) loadings centered in the AS and southwestern Indian Ocean (BOB and southeastern Indian Ocean). This indicates that TCG in the northern and southern Indian Ocean covaries as an equatorially symmetric east–west zonal dipole pattern. The EOF1 mode explains approximately 13% of the SON TCG variance. Note that 13% is not a very big percentage of TCG variance, and may be partly owing to the differences of the TCG seasonal distributions in the northern and southern Indian Ocean (Fig. 1). The North’s significance test for the TCG EOF analysis indicates that the EOF1 mode is a clearly independent mode. The time series of the EOF1 mode shows apparent interannual variation (Fig. 3b), with fewer (more) TCG events in the BOB and southeastern Indian Ocean and more (fewer) in the AS and southwestern Indian Ocean during the positive (negative) anomaly years (Fig. 3a). Wavelet analysis indicates that the EOF1 mode varies mainly at a quasi-5-yr scale (figure not shown).

First empirical orthogonal function (EOF1) mode of SON TCG frequency in the Indian Ocean during 1981–2015: (a) spatial distribution and (b) standard time series.
Citation: Journal of Climate 32, 19; 10.1175/JCLI-D-19-0042.1

First empirical orthogonal function (EOF1) mode of SON TCG frequency in the Indian Ocean during 1981–2015: (a) spatial distribution and (b) standard time series.
Citation: Journal of Climate 32, 19; 10.1175/JCLI-D-19-0042.1
First empirical orthogonal function (EOF1) mode of SON TCG frequency in the Indian Ocean during 1981–2015: (a) spatial distribution and (b) standard time series.
Citation: Journal of Climate 32, 19; 10.1175/JCLI-D-19-0042.1
4. Relationship between the Indian Ocean TCG and tropical Indo-Pacific SSTAs
The relationships of TCG in the Indian Ocean with the SSTAs of the tropical Indo-Pacific Ocean are investigated in this section. The correlations between the time series of the TCG EOF1 mode and the SSTAs in the tropical Indo-Pacific Ocean show a distinct tripole pattern (Fig. 4a). Significant positive correlations appear in the western tropical Indian Ocean and central-eastern equatorial Pacific Ocean, but negative correlations are present in the Maritime Continent regions. It appears that the zonal dipole pattern of TCG in the Indian Ocean is significantly connected with the combined effects of the SSTAs in both the tropical Indian and Pacific Oceans. In Fig. 4a, the distribution of the correlation coefficient features an IOD-like pattern in the tropical Indian Ocean and El Niño–like pattern in the tropical Pacific Ocean. The correlation coefficients of the TCG EOF1 time series with DMI and Niño-3.4 indices are 0.45 and 0.35, and significant at the 99% and 95% confidence levels, respectively. To note that, numerous works have revealed that intimate connections exist between the IOD and ENSO (e.g., Webster et al. 1999; Li et al. 2003; Xie et al. 2009). The correlation coefficient of DMI and Niño-3.4 is 0.63, which is very high and significant at the 99% confidence level. After removing the Niño-3.4-regressed simultaneous signals, the correlation coefficient of the TCG EOF1 and DMI is decreased to 0.29, but also significant at the 90% confidence level. These imply that the TCG EOF1 mode may relate to both ENSO and the IOD. However, ENSO and the IOD are closely linked, and it is hard to separate their individual effects completely, especially on an interannual time scale. Moreover, only focusing on a single basin mode of the IOD/ENSO also may not accurately reflect the individual effects. Thus, it is necessary to take the SSTAs of the tropical Indo-Pacific Ocean as a whole to investigate their combined influences on the TCG in the Indian Ocean.

(a) Correlation coefficients (shaded) of the time series of the Indian Ocean TCG EOF1 mode and SSTAs in the Indo-Pacific Ocean during 1981–2015. The black plus signs or dots indicate that the correlation coefficient passes the significance test at the 95% or 90% confidence level, respectively. Also shown are the leading EOF1 modes of the SON SSTAs in the tropical Indo-Pacific Ocean during 1981–2015: (b) spatial distribution and (c) standard time series (the blue bar). The red line in (c) shows the IPT index.
Citation: Journal of Climate 32, 19; 10.1175/JCLI-D-19-0042.1

(a) Correlation coefficients (shaded) of the time series of the Indian Ocean TCG EOF1 mode and SSTAs in the Indo-Pacific Ocean during 1981–2015. The black plus signs or dots indicate that the correlation coefficient passes the significance test at the 95% or 90% confidence level, respectively. Also shown are the leading EOF1 modes of the SON SSTAs in the tropical Indo-Pacific Ocean during 1981–2015: (b) spatial distribution and (c) standard time series (the blue bar). The red line in (c) shows the IPT index.
Citation: Journal of Climate 32, 19; 10.1175/JCLI-D-19-0042.1
(a) Correlation coefficients (shaded) of the time series of the Indian Ocean TCG EOF1 mode and SSTAs in the Indo-Pacific Ocean during 1981–2015. The black plus signs or dots indicate that the correlation coefficient passes the significance test at the 95% or 90% confidence level, respectively. Also shown are the leading EOF1 modes of the SON SSTAs in the tropical Indo-Pacific Ocean during 1981–2015: (b) spatial distribution and (c) standard time series (the blue bar). The red line in (c) shows the IPT index.
Citation: Journal of Climate 32, 19; 10.1175/JCLI-D-19-0042.1
The TCG EOF1 mode is closely related to the IPT with a correlation coefficient of 0.45 and is significant at the 99% confidence level. Further analysis showed that 20 of a total of 35 years are at a TCG EOF1 positive phase, of which 65% of the years are in co-occurrence with IPT positive years (13 years); meanwhile, 15 years are at a TCG EOF1 negative phase, 87% of which are in co-occurrence with IPT negative phases (Table 1). To further validate the relationships between the Indian Ocean TCG EOF1 mode and the IPT pattern in the tropical Indo-Pacific Ocean, we chose the IPT positive (negative) phase years that are in co-occurrence with TCG EOF1 positive (negative) phase years as the typical IPT positive (negative) years. The 13 typical IPT positive years and 13 typical IPT negative years are presented in Table 1.
List of the years at positive/negative phases of the TCG_EOF1 and IPT modes. The boldface type indicates the 13 positive years and 13 negative years that are described as “typical” in the text.


In typical IPT positive years, the SSTAs feature a tripole pattern in the tropical Indo-Pacific Ocean, with significant positive anomalies in the western tropical Indian Ocean and the central-eastern equatorial Pacific Ocean, but negative anomalies in the southeastern tropical Indian Ocean and western tropical Pacific Ocean (Fig. 5a). Correspondingly, most TCs are generated in the west part of the Indian Ocean. Especially in the southern Indian Ocean, approximately 95% (18 out of a total of 19) of TCG is located west of 85°E. However, in typical IPT negative years, the composite SSTAs also present as a tripole pattern in the tropical Indo-Pacific Ocean, but almost opposite to that in IPT positive years (Fig. 5b). TCs mainly are generated in the east part of the Indian Ocean. In this composite, 82% (28 of a total of 34) of the north Indian Ocean TCG is in the BOB, and all TCs are formed east of 70°E in the south Indian Ocean. The differences of TCG between the typical positive and negative IPT years show that significant negative TCG anomalies appear in the southeastern Indian Ocean and BOB, while positive TCG anomalies appear in the southwestern Indian Ocean and AS (Fig. 5c). The above-mentioned correlation and composite analysis indicate that the zonal dipole pattern of TCG in the Indian Ocean is significantly related to the tropical Indo-Pacific tripole SSTA pattern.

Composite of the SON averaged SSTAs (contours; °C) in the (a) typical positive IPT years and (b) typical negative IPT years. (c) The differences of TCG number between the typical positive and negative IPT years (shaded). The shaded parts in (a) and (b) indicate that the composited SSTAs pass the significance t test at the 95% confidence level. The red dots in (a) and (b) indicate TCG locations. A black plus sign or dot in (c) indicates that the differences of TCG number pass the significance test at the 95% or 90% confidence level, respectively.
Citation: Journal of Climate 32, 19; 10.1175/JCLI-D-19-0042.1

Composite of the SON averaged SSTAs (contours; °C) in the (a) typical positive IPT years and (b) typical negative IPT years. (c) The differences of TCG number between the typical positive and negative IPT years (shaded). The shaded parts in (a) and (b) indicate that the composited SSTAs pass the significance t test at the 95% confidence level. The red dots in (a) and (b) indicate TCG locations. A black plus sign or dot in (c) indicates that the differences of TCG number pass the significance test at the 95% or 90% confidence level, respectively.
Citation: Journal of Climate 32, 19; 10.1175/JCLI-D-19-0042.1
Composite of the SON averaged SSTAs (contours; °C) in the (a) typical positive IPT years and (b) typical negative IPT years. (c) The differences of TCG number between the typical positive and negative IPT years (shaded). The shaded parts in (a) and (b) indicate that the composited SSTAs pass the significance t test at the 95% confidence level. The red dots in (a) and (b) indicate TCG locations. A black plus sign or dot in (c) indicates that the differences of TCG number pass the significance test at the 95% or 90% confidence level, respectively.
Citation: Journal of Climate 32, 19; 10.1175/JCLI-D-19-0042.1
We also carried out an SVD analysis of the Indian Ocean TCG frequency and tropical Indo-Pacific Ocean SSTAs and obtained an analogous coupled mode (figure not shown). In the SVD coupled mode, the SST field presents a distinct tripole variation pattern in the Indo-Pacific Ocean, and its correlation coefficient with the IPT is 0.9, which is significant at the 99% confidence level; meanwhile, the Indian Ocean TCG field shows a zonal dipole pattern with high positive loadings centered in the BOB and southeastern Indian Ocean, and its correlation with the TCG EOF1 mode is 0.79, which is also significant at the 99% confidence level. The coupled mode is the first mode of the SVD analysis and occupies 72% of the coupled variance contributions, which can explain ~62% of SSTAs of the tropical Indo-Pacific Ocean and ~9% of TCG variations in the Indian Ocean. The SVD coupled mode reflects the relationship between the TCG EOF1 mode and IPT. According to the North’s significance test, this SVD coupled mode is a clear and independent mode. These confirm that the zonal dipole TCG mode in the Indian Ocean is closely related to the IPT pattern of SSTAs in the tropical Indo-Pacific Ocean with certainty. More (fewer) TCs formed in the west (east) part of both the northern and southern Indian Ocean at IPT positive phases; the opposite is true at IPT negative phases.
5. Modulation of Indian Ocean TCG environments by the tropical Indo-Pacific SSTAs
a. Climatic environments of the Indian Ocean in SON
In SON, the warm sea surface temperature encompassed by the 26°C isothermal lines can be found north of 15°S in the southern Indian Ocean, the BOB, and the AS in the northern Indian Ocean (Fig. 6a). Accompanying the easterly (westerly) wind in the south (north) of the equatorial Indian Ocean at 850 hPa, a pair of cyclonic wind curls appear around 5°–15° in the southern and northern regions of the tropical Indian Ocean. Strong cyclonic vorticities present in the tropical southern Indian Ocean, western AS, and BOB regions (Fig. 6b). The relative humidity shows a similar distribution pattern to the sea surface temperature field, with high values east of 60°E of the tropical Indian Ocean (Fig. 6c). The regions of weak vertical wind shear are located within a zonal strip 5°–15° on both sides of the Indian Ocean (Fig. 6c). Strong ascending motions mainly appear east of 60°E in the southern Indian Ocean and BOB regions (Fig. 6d).

The SON averaged (a) sea surface temperature (°C), (b) 850-hPa wind (vectors; m s−1) and vorticity (shaded; 10−5 s−1), (c) vertical zonal wind shear between 200 and 850 hPa (shaded; m s−1) and 700-hPa specific humidity (contours; 10−2 kg kg−1), and (d) 500-hPa omega (10−2 Pa s−1) during 1981–2015.
Citation: Journal of Climate 32, 19; 10.1175/JCLI-D-19-0042.1

The SON averaged (a) sea surface temperature (°C), (b) 850-hPa wind (vectors; m s−1) and vorticity (shaded; 10−5 s−1), (c) vertical zonal wind shear between 200 and 850 hPa (shaded; m s−1) and 700-hPa specific humidity (contours; 10−2 kg kg−1), and (d) 500-hPa omega (10−2 Pa s−1) during 1981–2015.
Citation: Journal of Climate 32, 19; 10.1175/JCLI-D-19-0042.1
The SON averaged (a) sea surface temperature (°C), (b) 850-hPa wind (vectors; m s−1) and vorticity (shaded; 10−5 s−1), (c) vertical zonal wind shear between 200 and 850 hPa (shaded; m s−1) and 700-hPa specific humidity (contours; 10−2 kg kg−1), and (d) 500-hPa omega (10−2 Pa s−1) during 1981–2015.
Citation: Journal of Climate 32, 19; 10.1175/JCLI-D-19-0042.1
b. Favorable conditions for the zonal dipole pattern of TCG in the Indian Ocean
To investigate the favorable conditions for the zonal dipole pattern of TCG in the Indian Ocean, we used the time series of TCG EOF1 mode to regress the oceanic and atmospheric environments. As shown in Fig. 7a, the regressed SSTAs show a distinct tripole pattern. Significant positive values appear in the western tropical Indian Ocean and central-eastern equatorial Pacific Ocean, while relatively weaker negative values appear in the southeastern tropical Indian Ocean and western tropical Pacific Ocean. The regressed SSTAs feature a negative zonal gradient of SSTAs in the tropical Indian Ocean. Note that the climatology of the sea surface temperature presents as higher values in the eastern tropical Indian Ocean and lower values in the western tropical Indian Ocean (Fig. 6a). The distribution of the SSTAs in Fig. 7a can decrease the climatic zonal sea surface temperature gradient in the tropical Indian Ocean; thus, significant anomalous easterly flow appears in the equatorial Indian Ocean (Fig. 7a). A pair of anticyclonic wind curl anomalies can be found in the north and south of the tropical Indian Ocean (Figs. 7a and 8a), and significant anticyclonic vorticity anomalies present in the southeastern tropical Indian Ocean and BOB regions (Fig. 8a). The regressed relative humidity field at 700 hPa shows that significant positive anomalies occur in the western part of the Indian Ocean, but negative values appear in the southeastern Indian Ocean and northern BOB (Fig. 8c). The regressed 500-hPa omega also presents a zonal dipole pattern, and significant ascent anomalies in the western tropical Indian Ocean and descent anomalies in the BOB and southeastern Indian Ocean (Fig. 8e), while significant positive vertical wind shear anomalies mainly are located in the AS and eastern tropical Indian Ocean (Fig. 8g).

The SON SSTAs (contour; °C) and 850-hPa wind (vector; m s−1) regressed against (a) the TCG EOF1 time series and (b) IPT during 1981–2015. The anomalies are computed by removing the climatological SON seasonal means. The regressed SSTAs that pass the significance test at the 95% confidence level are also shown as shaded (°C). The vectors only show the regressed wind anomalies that are statistically significant at the 95% confidence level.
Citation: Journal of Climate 32, 19; 10.1175/JCLI-D-19-0042.1

The SON SSTAs (contour; °C) and 850-hPa wind (vector; m s−1) regressed against (a) the TCG EOF1 time series and (b) IPT during 1981–2015. The anomalies are computed by removing the climatological SON seasonal means. The regressed SSTAs that pass the significance test at the 95% confidence level are also shown as shaded (°C). The vectors only show the regressed wind anomalies that are statistically significant at the 95% confidence level.
Citation: Journal of Climate 32, 19; 10.1175/JCLI-D-19-0042.1
The SON SSTAs (contour; °C) and 850-hPa wind (vector; m s−1) regressed against (a) the TCG EOF1 time series and (b) IPT during 1981–2015. The anomalies are computed by removing the climatological SON seasonal means. The regressed SSTAs that pass the significance test at the 95% confidence level are also shown as shaded (°C). The vectors only show the regressed wind anomalies that are statistically significant at the 95% confidence level.
Citation: Journal of Climate 32, 19; 10.1175/JCLI-D-19-0042.1

As in Fig. 7, but for (a),(b) 850-hPa wind (vectors; m s−1) and vorticity (shaded; 10−6 s−1); (c),(d) 700-hPa relative humidity (shaded; 10−2 kg kg−1); (e),(f) 500-hPa omega (shaded; 10−2 Pa s−1) and precipitation (only negative values are shown in contours; mm day−1); and (g),(h) vertical zonal wind shear (m s−1), regressed against the (left) TCG EOF1 time series or (right) IPT. In (a) and (b), the regressed vorticity passing the significance test at the 95% confidence level is shaded, and thick black wind vectors indicate the regressed winds that are statistically significant at the 95% confidence level. The black dots in (c) and (d) denote the regressed relative humidity passing the significance test at the 95% confidence level. The black dots in (e) and (f) denote the regressed omega passing the significance test at the 95% confidence level. The black dots in (g) and (h) denote the regressed wind shear passing the significance test at the 95% confidence level.
Citation: Journal of Climate 32, 19; 10.1175/JCLI-D-19-0042.1

As in Fig. 7, but for (a),(b) 850-hPa wind (vectors; m s−1) and vorticity (shaded; 10−6 s−1); (c),(d) 700-hPa relative humidity (shaded; 10−2 kg kg−1); (e),(f) 500-hPa omega (shaded; 10−2 Pa s−1) and precipitation (only negative values are shown in contours; mm day−1); and (g),(h) vertical zonal wind shear (m s−1), regressed against the (left) TCG EOF1 time series or (right) IPT. In (a) and (b), the regressed vorticity passing the significance test at the 95% confidence level is shaded, and thick black wind vectors indicate the regressed winds that are statistically significant at the 95% confidence level. The black dots in (c) and (d) denote the regressed relative humidity passing the significance test at the 95% confidence level. The black dots in (e) and (f) denote the regressed omega passing the significance test at the 95% confidence level. The black dots in (g) and (h) denote the regressed wind shear passing the significance test at the 95% confidence level.
Citation: Journal of Climate 32, 19; 10.1175/JCLI-D-19-0042.1
As in Fig. 7, but for (a),(b) 850-hPa wind (vectors; m s−1) and vorticity (shaded; 10−6 s−1); (c),(d) 700-hPa relative humidity (shaded; 10−2 kg kg−1); (e),(f) 500-hPa omega (shaded; 10−2 Pa s−1) and precipitation (only negative values are shown in contours; mm day−1); and (g),(h) vertical zonal wind shear (m s−1), regressed against the (left) TCG EOF1 time series or (right) IPT. In (a) and (b), the regressed vorticity passing the significance test at the 95% confidence level is shaded, and thick black wind vectors indicate the regressed winds that are statistically significant at the 95% confidence level. The black dots in (c) and (d) denote the regressed relative humidity passing the significance test at the 95% confidence level. The black dots in (e) and (f) denote the regressed omega passing the significance test at the 95% confidence level. The black dots in (g) and (h) denote the regressed wind shear passing the significance test at the 95% confidence level.
Citation: Journal of Climate 32, 19; 10.1175/JCLI-D-19-0042.1
The GPI defined by Murakami and Wang (2010) was used to represent the co-contributions of the factors that are responsible for TCG in the Indian Ocean. As shown in Fig. 2b, the GPI distributions match well with the TCG locations, indicating that the GPI can well depict the TCG environments in the Indian Ocean climatologically. The GPI regressed by using the time series of the TCG EOF1 mode presents a zonal seesaw pattern in both the southern and northern Indian Ocean (Fig. 9a). Significant positive GPI anomalies appear in the southwestern tropical Indian Ocean and AS, but negative values present in the southeastern tropical Indian Ocean and northern BOB, indicating that the conditions favorable for TCG also present as a zonal dipole pattern.

As in Fig. 7, but for the GPI. Black dots denote the regressed GPI passing the significance test at the 95% confidence level.
Citation: Journal of Climate 32, 19; 10.1175/JCLI-D-19-0042.1

As in Fig. 7, but for the GPI. Black dots denote the regressed GPI passing the significance test at the 95% confidence level.
Citation: Journal of Climate 32, 19; 10.1175/JCLI-D-19-0042.1
As in Fig. 7, but for the GPI. Black dots denote the regressed GPI passing the significance test at the 95% confidence level.
Citation: Journal of Climate 32, 19; 10.1175/JCLI-D-19-0042.1
Following Li et al. (2013), we applied the GPI quantitative method to assess the relative contribution of each large-scale factor on TCG. The GPI terms are averaged in four regions, with the AS region defined as 60°–80°E and 5°–20°N, the BOB region defined as 90°–100°E and 5°–20°N, the southwestern Indian Ocean (SWIO) region defined as 60°–80°E and 15°–5°S, and the southeastern Indian Ocean (SEIO) region defined as 80°–100°E and 15°–5°S.
As shown in Fig. 10a, the relative contributions of the vorticity term are negative in all four regions, indicating that the low-level anticyclonic wind curls (Fig. 8a) are unfavorable for TCG in both the west and east parts of the tropical Indian Ocean. Especially in the BOB, the vorticity term exerts the largest negative contribution to GPI. Both the humidity and vertical motion terms show positive contributions in the AS and southwestern Indian Ocean, but negative contributions in the BOB and southeastern Indian Ocean. The moisture budget analysis by using the moisture tendency equation shows that the increase of special humidity at 700 hPa in the AS and southwestern Indian Ocean is primarily attributed to the vertical motion transportation term, while the apparent moisture sink has a negative contribution (Fig. 11a). However, in the east part of the tropical Indian Ocean, the tendencies of special humidity anomaly are negative, primarily because of negative contributions of the vertical motion transportation term in the BOB and southeastern Indian Ocean (Fig. 11a). Thus, the humidity anomaly tendency at 700 hPa is closely related to the vertical motion transportation term. Alongside significant anomalous ascending (descending) motion in the AS and southwestern Indian Ocean (BOB and southeastern Indian Ocean) (Fig. 8e), more (less) water vapor is transported upward to the lower–middle troposphere, which is favorable (unfavorable) for deepening the moist layer and causing more (less) TCG in the western (eastern) part of the tropical Indian Ocean. It appears that the west–east seesaw distributions of the humidity and vertical motion terms are important to the zonal dipole pattern of TCG in the Indian Ocean. The co-contributions of the humidity and vertical motion terms to the total GPI in all of the four regions are more than 50%, and show positive (negative) contributions in the west (east) part of the tropical Indian Ocean (Fig. 10a). The contributions of the maximum potential intensity (PI) terms are relatively weak in the Indian Ocean. The vertical wind shear term presents positive contributions in all the four regions, especially with strong positive contributions in BOB and AS regions. This is because the westerly wind shear anomalies (Fig. 8g) can reduce the climatic easterly wind shear (Fig. 6c); thus, it is favorable for TCG in the whole Indian Ocean basin.

The contributions of each of the GPI terms that are regressed against the (a) TCG EOF1 time series and (b) IPT. The AS region is defined as 60°–80°E and 5°–20°N, the BOB region is defined as 90°–100°E and 5°–20°N, the SWIO region is defined as 60°–80°E and 15°–5°S, and the SEIO region is defined as 80°–100°E and 15°–5°S.
Citation: Journal of Climate 32, 19; 10.1175/JCLI-D-19-0042.1

The contributions of each of the GPI terms that are regressed against the (a) TCG EOF1 time series and (b) IPT. The AS region is defined as 60°–80°E and 5°–20°N, the BOB region is defined as 90°–100°E and 5°–20°N, the SWIO region is defined as 60°–80°E and 15°–5°S, and the SEIO region is defined as 80°–100°E and 15°–5°S.
Citation: Journal of Climate 32, 19; 10.1175/JCLI-D-19-0042.1
The contributions of each of the GPI terms that are regressed against the (a) TCG EOF1 time series and (b) IPT. The AS region is defined as 60°–80°E and 5°–20°N, the BOB region is defined as 90°–100°E and 5°–20°N, the SWIO region is defined as 60°–80°E and 15°–5°S, and the SEIO region is defined as 80°–100°E and 15°–5°S.
Citation: Journal of Climate 32, 19; 10.1175/JCLI-D-19-0042.1

As in Fig. 10, but for the contributions of each term of the moisture tendency equation at 700 hPa (10−8 kg kg−1 s−1).
Citation: Journal of Climate 32, 19; 10.1175/JCLI-D-19-0042.1

As in Fig. 10, but for the contributions of each term of the moisture tendency equation at 700 hPa (10−8 kg kg−1 s−1).
Citation: Journal of Climate 32, 19; 10.1175/JCLI-D-19-0042.1
As in Fig. 10, but for the contributions of each term of the moisture tendency equation at 700 hPa (10−8 kg kg−1 s−1).
Citation: Journal of Climate 32, 19; 10.1175/JCLI-D-19-0042.1
It appears that the west–east seesaw distributions of the lower–middle-level humidity and vertical motion anomalies are important to the zonal dipole pattern of TCG in the Indian Ocean. In the western part of the tropical Indian Ocean, the positive contributions of the humidity and vertical motion terms combined with the vertical wind shear term can overcome the negative effects of the low-level vorticity term, which is favorable for more TCG, while the combined negative contributions of the humidity, vertical motion, and vorticity terms result in less TCG in the eastern part of the tropical Indian Ocean.
c. Modulation of Indian Ocean TCG environments by the tropical Indo-Pacific SSTAs
To investigate the modulation of TCG environments by the tropical Indo-Pacific SSTAs, we also use the IPT index to regress the large-scale factors of TCG environments. Accompanying the IPT index variations, the SSTAs in the tropical Indo-Pacific Ocean features significant positive anomalies that appear in the western tropical Indian Ocean and central-eastern equatorial Pacific Ocean, but negative values appear in the Maritime Continent regions (Fig. 7b). The tripole SSTAs pattern can leads to negative (positive) zonal gradients of sea surface temperature and significant lower-level easterly (westerly) wind anomalies in the tropical Indian (Pacific) Ocean (Fig. 7b). The low-level easterly wind anomalies in the tropical Indian Ocean and the westerly wind anomalies in the tropical Pacific Ocean further cause obvious lower-level divergence and force significant descending motion anomalies in the Maritime Continent regions (Figs. 7b and 8f). Previous works have indicated that the Walker circulations overlying the tropical Indian and Pacific Oceans operate like two coupled gears, and are closely connected by the common vertical motion branch over the Maritime Continent regions (Wu and Meng 1998; Meng and Wu 2000). Therefore, the anomalous descending motion over the Maritime Continent regions also can trigger the Walker circulation anomalies over both the tropical Indian and Pacific Oceans (Fig. 12b).

The vertical sections of velocity averaged in 10°S–10°N regions, which are regressed against the (a) TCG EOF1 time series, (b) IPT, (c) DMI, and (d) Niño-3.4 index. Shading denotes the omega (10−2 Pa s−1). Vectors denote that the regressed velocity passes the significance test at the 95% confidence level.
Citation: Journal of Climate 32, 19; 10.1175/JCLI-D-19-0042.1

The vertical sections of velocity averaged in 10°S–10°N regions, which are regressed against the (a) TCG EOF1 time series, (b) IPT, (c) DMI, and (d) Niño-3.4 index. Shading denotes the omega (10−2 Pa s−1). Vectors denote that the regressed velocity passes the significance test at the 95% confidence level.
Citation: Journal of Climate 32, 19; 10.1175/JCLI-D-19-0042.1
The vertical sections of velocity averaged in 10°S–10°N regions, which are regressed against the (a) TCG EOF1 time series, (b) IPT, (c) DMI, and (d) Niño-3.4 index. Shading denotes the omega (10−2 Pa s−1). Vectors denote that the regressed velocity passes the significance test at the 95% confidence level.
Citation: Journal of Climate 32, 19; 10.1175/JCLI-D-19-0042.1
Associated with the SSTAs of IPT, an obvious local Walker circulation anomaly can be found over the tropical Indian Ocean. Significant ascending (descending) motion anomalies appear over the western (eastern) tropical Indian Ocean, easterly wind anomalies appear in the lower troposphere, and westerly wind anomalies appear in the upper troposphere over the tropical Indian Ocean (Fig. 12b). The local Walker circulation anomaly can significantly modify the TCG environments in the entire tropical Indian Ocean basin. The possible physical processes and interpretations are analyzed below.
First, the anomaly of the vertical branch of the local Walker circulation can influence the upward moisture transportation. The moisture budget analysis shows that the vertical motion transportation term is primarily attributed to the negative humidity anomalies tendency at 700 hPa in the eastern part of the tropical Indian Ocean. In the southwestern Indian Ocean, the vertical motion transportation term exerts the largest contribution to the positive tendency of the humidity anomalies. And in the AS region, the combined positive contributions of the vertical motion transportation term and horizontal moisture advection term can overcome the negative effect of the apparent moisture sink and result in a positive humidity anomalies tendency (Fig. 11b). Thus, it appears that the humidity anomaly tendency distribution pattern of positive in the west and negative in the east in the tropical Indian Ocean is closely related to the vertical motion transportation term. The anomalous ascending (descending) vertical motion can transport more (less) water vapor to the lower–middle troposphere and is favorable (unfavorable) for TCG in the western (eastern) part of the tropical Indian Ocean. GPI contribution analysis also shows that the changes of the humidity term contribute greatly to the TCG variation, especially for acting as the largest negative term contribute to the TCG reductions in the BOB and southeastern tropical Indian Ocean (Fig. 10b).
Second, the descending motion anomalies in the eastern part of the tropical Indian Ocean are unfavorable for convection, and lead to negative precipitation anomalies in the BOB and southeastern tropical Indian Ocean (Fig. 8f). As a Rossby wave response to the suppressed precipitation and related atmospheric heat sink, a pair of significant anticyclonic wind curl anomalies can be found in the lower atmosphere of the tropical Indian Ocean (Fig. 8b). These anticyclonic wind anomalies can significantly reduce the lower troposphere cyclonic vorticity and are unfavorable for TCG in the eastern part of the tropical Indian Ocean (Figs. 8b and 9b). The vorticity term is the second largest negative term contributing to the TCG reductions in both the BOB and southeastern tropical Indian Ocean (Fig. 10b).
Third, the Walker circulation anomalies can also modify the zonal wind shear between the upper and lower levels. The induced westerly wind anomalies in the upper level and easterly wind anomalies in the lower level can result in significant westerly wind shear over the entire tropical Indian Ocean basin (Fig. 8h). It should be noted that the climatology of the vertical wind shear over the tropical Indian Ocean in SON is easterly wind shear (Fig. 6c). Thus, the westerly wind shear can reduce the climatic vertical wind shear and exert a positive contribution to the GPI variation over the whole tropical Indian Ocean (Fig. 10b). Quantitative GPI analysis shows that the vertical shear term is important to the total of GPI variance in the western part of the tropical Indian Ocean, which acts as the largest (second largest) positive contribution term in the AS (southwestern tropical Indian Ocean). Note also that in the BOB region, although the vertical shear term shows great positive contribution to the GPI variance, the combined negative effects of the vorticity, humidity, and vertical motion terms can overcome the positive contribution of the vertical shear term, and result in TC reduction. In contrast, the contribution of the vertical shear term to TCG is relatively small in the southeastern tropical Indian Ocean (Fig. 10b).
The Indian Ocean TCG is significantly affected by the combined tripole pattern of SSTAs in the tropical Indian and Pacific Oceans. The regressed Indo-Pacific Ocean SSTAs and the above atmospheric environments related to the IPT index exhibits very similar figures to those regressed by the TCG EOF1 mode (Figs. 7 and 8). The IPT pattern is related to the zonal dipole pattern of TCG in the Indian Ocean, by modifying the local Walker circulation and TCG environments. Associated with a positive phase of IPT, abnormal ascending (descending) motions are induced and favorable for more (less) water vapor transport to the lower–middle level in the western (eastern) tropical Indian Ocean; significant anticyclonic wind anomalies are evoked in the lower level in the eastern part of the tropical Indian Ocean, and weak easterly vertical wind shear appears over the tropical Indian Ocean. Thus, abnormally strong upward motion, abundant water vapor, and weak vertical wind shear are favorable for more TCG in the western part of the tropical Indian Ocean, while the combined negative contributions of the vertical motion, low-level vorticity, and humidity terms result in less TCG in the eastern part of the tropical Indian Ocean.
d. Possible links of the IOD/ENSO with the IPT and Indian Ocean TCG zonal dipole pattern
Numerous studies have revealed that intimate connections exist in the air–sea interactions between the tropical Indian and Pacific oceans (e.g., Wu and Meng 1998; Klein et al. 1999; Li et al. 2003; Meyers et al. 2007; Chen and Cane 2008; Xie et al. 2009). The dominant mode of the SSTAs in the tropical Indian and Pacific Oceans is characterized as an obvious interbasin IPT pattern (Ju et al. 2004; Chen 2011; Lian et al. 2014; Li et al. 2018; Liu et al. 2019), which features IOD-like SSTAs in the tropical Indian Ocean and El Niño–like SSTAs in the tropical Pacific Ocean (Fig. 4b). The correlation coefficients of the IPT with the DMI and Niño-3.4 indices are 0.8 and 0.94, respectively. Recently, the IPT mode is widely treated as an interbasin mode and combines the signals of both the IOD and ENSO (Lian et al. 2014; Li et al. 2018; Liu et al. 2019).
Further analysis indicated that both of the DMI and Niño-3.4 indices have significant correlations with the TCG EOF1 mode, with the correlation coefficients of 0.45 and 0.35 and are significant at the 99% and 95% confidence levels, respectively. The atmospheric circulation anomalies regressed by the DMI and Niño-3.4 indices also present similar configures as those regressed by the IPT and the TCG EOF1 mode (Fig. 12). Obvious Walker circulations anomalies appear overlying the tropical Indian and Pacific Oceans, which operate like two coupled gears and are closely connected by the common vertical motion branch over the Maritime Continent regions, consistent with the present studies (e.g., Wu and Meng 1998; Meng and Wu 2000; Ju et al. 2004; Lian et al. 2014). Through this kind of atmospheric bridge, ENSO signals over the Pacific Ocean and the IOD impacts over the Indian Ocean are closely connected, and may exert combined effects on the dipole pattern of TCG in the Indian Ocean through modifying the local Walker circulation anomalies.
To quantitatively depict the differences of TCG between the western and eastern parts of the tropical Indian Ocean, a TCG_Dipole index is defined as the difference of the averaged SON TCG number between the western (40°–80°E, 20°S–20°N) and eastern (90°–100°E, 20°S–20°N) tropical Indian Ocean. The TCG_Dipole index is highly related to the time series of the TCG EOF1 mode, with the correlation coefficient of 0.62. Thus, the TCG_Dipole index can quantitatively represent the variations of the zonal dipole pattern of TCG. To further determine the possible links between the IPT, ENSO, IOD, and Indian Ocean TCG dipole pattern, we established multiple linear regression equations of TCG_Dipole variation on the combined DMI and Niño-3.4 indices [Eq. (5)], and the SSTAs of three key regions which are used to compute the IPT index [Eq. (6)], respectively.
6. Summary
From a basinwide perspective, the dominant mode of the Indian Ocean TCG in SON shows an equatorially symmetric east–west zonal dipole pattern, indicating that the frequency of TCG covaries oppositely in the east and west parts of both the northern and southern Indian Ocean. This zonal dipole TCG pattern can explain approximately 13% of the SON TCG variance.
The Indian Ocean TCG zonal dipole pattern is significantly related to the IPT pattern of the tropical Indo-Pacific Ocean. The IPT, which is a combined interbasin mode and features a dipole pattern of SSTAs in the tropical Indian Ocean and El Niño–like SSTAs in the tropical Pacific Ocean, can influence the local Walker circulation and TCG environments over the tropical Indian Ocean. Associated with a positive IPT phase, abnormal ascending (descending) motions are induced and favorable for more (less) water vapor transport to the lower–middle level in the western (eastern) tropical Indian Ocean; significant anticyclonic vorticity anomalies are evoked in the lower level over the eastern tropical Indian Ocean, and weak easterly vertical wind shear appears over the tropical Indian Ocean. Thus, abnormally strong upward motion, abundant water vapor in lower–middle level, and weak vertical wind shear are favorable for more TCG in the western tropical Indian Ocean, while the combined negative contributions of the vertical motion, lower-level vorticity, and humidity terms result in less TCG in the eastern tropical Indian Ocean.
The combined interbasin IPT mode shows stronger effect on the Indian Ocean zonal dipole pattern of TCG than the individual ENSO/IOD modes and can explain larger variances of the TCG dipole mode. The results of this study may provide a better understanding of the relationship between the Indo-Pacific Ocean SSTAs and the TCG over the Indian Ocean. Note, however, that the relative contribution of each large-scale factor to TCG appears to be different in the northern and southern Indian Ocean. For example, the vertical wind shear term makes the largest contribution to the TCG in the northern Indian Ocean but contributes a relatively small amount in the southern Indian Ocean. Detailed differences between the TCG variations in the northern and southern Indian Ocean, even in similar large-scale environments, also need to be further investigated in the future.
Acknowledgments
This work was supported by the National Natural Science Foundation of China (41875109, 41805059), the Natural Science Foundation of Yunnan Province (Grant 2018FB074), the Educational Foundation of Yunnan Province (Grant 2018JS014), and the Chinese Jiangsu Collaborative Innovation Center for Climate Change.
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