1. Introduction
Tropical cyclones (TCs) are one of the most frequent severe weather systems and among the most destructive natural weather phenomena over tropical oceans, causing serious ecological and economic damage and even imposing a substantial threat to human lives. The north Indian Ocean (NIO) is one of the main ocean basins for TC genesis. Moreover, most NIO TCs generally take place over the Bay of Bengal (BoB) in the NIO. Particularly over the BoB, TCs threaten about one billion people each year in India, Myanmar, Bangladesh, and the wider Southeast Asian region (SEAR) (Webster 2008; Lin et al. 2013).
Although TC frequency is lower over the BoB relative to the western North Pacific (WNP), eastern North Pacific (ENP), northern Atlantic (NATL), southern Indian Ocean (SIO), and western South Pacific (WSP), the formation rate of super TCs (STCs; category 4 or above) is much higher over the BoB during the premonsoon transition period (PMT), which is a BoB TC hot season, than over other tropical ocean basins during their TC seasons. Specifically, the STC formation rate reaches approximately 40% over the BoB during the PMT (Table 1). This rate is the highest in the global tropical oceans and even up to approximately 4 times greater than in the North Atlantic (Li et al. 2019). In other words, one of every three TCs that occurs in the BoB during the PMT will develop into a super TC. However, TCs are unable to generate during the PMT of every year. TC genesis has occurred in only 20 of the past 36 years (from 1981 to 2016), in 1982, 1985, 1989, 1990, 1991, 1992, 1994, 1996, 1997, 1998, 2002, 2003, 2004, 2006, 2007, 2008, 2009, 2010, 2013, and 2016 (Table 2).
STC formation rate during the TC season for each ocean basin.


BoB TC genesis information during the PMTs from 1981 to 2016. TC yrs are TC genesis years; TC GD denotes the TC genesis date; TC ED denotes the TC ending date.


The understanding of the genesis of TCs during the PMT over the BOB remains very limited. Some studies found that sea surface temperature (SST), low-level relative vorticity, the Coriolis force, vertical wind shear (VWS), conditional instability, and relative humidity (RH) in the lower and middle troposphere were important factors impacting TC formation and development (Palmén 1948; Gray 1968; DeMaria et al. 2001). Among these factors, high SST, high midtropospheric moisture, and cyclonic vorticity are favorable for TC genesis and intensification, while strong VWS is unfavorable for TC formation and tends to weaken the intensity of storms.
Based on previous studies, Gray (1979) proposed a combined index to describe TC genesis. Emanuel and Nolan (2004) further refined Gray’s index and proposed a TC genesis potential index (GPI) by fitting large-scale climatological conditions for all ocean basins. While the GPI may adequately capture climatological TC characteristics across the global oceans, it fails to accurately reproduce interannual, intraseasonal, or even short-period variability in particular basins, such as the WNP (Fu et al. 2012). Specifically, the index cannot clearly describe TC characteristics in the BoB during the PMT because of the relatively low TC frequency. Given the lack of consensus surrounding the TC genesis features in the BoB, Kotal et al. (2009a,b) proposed a genesis potential parameter (GPP), which includes both dynamic and thermodynamic variables, for differentiating between developing and nondeveloping TC systems over the northern Indian Ocean.
Nath et al. (2013) used the GPP to analyze the precyclone status of approximately 30 tropical disturbances over the BoB from 2001 to 2010, enabling them to provide a possible 2-day lead prediction for depression systems in the region. The study examined precyclone genesis conditions during the pre- and postmonsoon transition periods and determined the applicability of the GPP in the BoB basin. However, the TC genesis features and conditions are different during the two periods; for instance, there is greater moisture during the postmonsoon transition period than during the PMT; the differences give rise to variations in TC frequency during the PMT versus the postmonsoon transition period (Li et al. 2013). The current studies do not accurately describe TC genesis features during the PMT. Therefore, this study aimed to use the GPP to investigate the major physical processes that control whether TCs are generated during the PMT over the BoB. The data and methodology are described in section 2, and the results are presented in section 3. Finally, we summarize and discuss the results in section 4.
2. Data and methodology
The primary data utilized in the study include 1) TC best-track data from the Joint Typhoon Warning Center (JTWC) and 2) the observed daily air temperature (AT), wind, relative humidity, and specific humidity (SH) data from the National Centers for Environmental Prediction (NCEP)–National Center for Atmospheric Research (NCAR) reanalysis. All datasets have a horizontal resolution of 2.5° latitude × 2.5° longitude.
In addition, we use the vorticity tendency formula, the relative humidity function on specific humidity and air temperature, and the specific humidity budget formula to further diagnose the physical processes that determine whether TC activity will occur during a given PMT. The analysis is described in detail in the following section.
3. Environmental conditions for TC formation
There are two peak TC seasons over the BoB: the PMT (April–May) and the postmonsoon transition period (October–November) (Gray 1968; Yanase et al. 2012; Li et al. 2013). The STC rate is far higher in April–May than in October–November, and it is also the highest rate among all tropical ocean basins during their TC seasons (Table 1). Although the STC formation rate reached approximately 40%, TCs took place over the BoB in only 20 of the past 36 years (1981–2016).
Almost all the TCs took place before or close to the date of the summer monsoon onset because after the summer monsoon breaks out over the BoB, the summer monsoon circulation enhances the vertical wind shear, which effectively inhibits TC genesis. Hence, this paper focuses on TC genesis conditions during the PMT before the summer monsoon onset, which mainly control whether TC genesis occurs over the BoB.
BoB TC activity is a synoptic-scale process and generally occurs only once during a given PMT, if at all. Hence, it is difficult to distinguish significant differences in the signals between the TC and non-TC genesis groups based on the April–May monthly mean datasets. Ge et al. (2013) found that it took no more than 7 days for TC genesis to occur under different convection conditions. In addition, Fu et al. (2007) and Peng et al. (2012) noted some synoptic-scale (less than 8 days) environmental factors that are significantly different between developing and nondeveloping TC groups. We selected 7 days as the hatching period for TC activity because the GPPs from 7 days prior to TC genesis are remarkably different from the GPPs in any other 7-day period from 1 April to the monsoon onset date in non-TC genesis cases. This 7-day hatching period for TC activity is also consistent with the results of previous studies.
Figure 1 shows positive BDIs of the GPP over most areas of the BoB, indicating that the composite GPP in TC genesis cases is greater than in non-TC genesis cases. Meanwhile, the areas with positive GPP anomalies between the TC genesis and non-TC genesis groups are significantly different at or above the 95% level. It is clear that most TC activity occurs in areas with positive GPP anomalies. Therefore, we selected a box (87.5°–97.5°E, 7.5°–15°N) as a reference area for further quantitative analysis.

BDI of GPP between the TC and non-TC genesis groups. The areas with plus signs indicate that the difference in GPP is significant at a level greater than 95%.
Citation: Journal of Climate 32, 14; 10.1175/JCLI-D-18-0620.1

BDI of GPP between the TC and non-TC genesis groups. The areas with plus signs indicate that the difference in GPP is significant at a level greater than 95%.
Citation: Journal of Climate 32, 14; 10.1175/JCLI-D-18-0620.1
BDI of GPP between the TC and non-TC genesis groups. The areas with plus signs indicate that the difference in GPP is significant at a level greater than 95%.
Citation: Journal of Climate 32, 14; 10.1175/JCLI-D-18-0620.1
The calculation results (Fig. 2) indicate that TC genesis during the PMT can primarily be attributed to the relative humidity term. The vorticity term provides a secondary positive contribution. The vertical wind shear term has a very weak positive contribution. The instability term, which is determined by the air temperature difference between the 850- and 500-hPa levels, makes a small negative contribution. Compared to the other terms, the effects of the vertical wind shear and instability terms are almost negligible. These factors together determine TC genesis over the BoB during the PMT. The difference between δGPP and the SUM term (the sum of the four terms) may be attributed to the nonlinear system (Fig. 2).

Contributions of the vorticity, relative humidity, air instability, and vertical wind shear to the GPP difference between the TC and non-TC genesis groups. The sum of the four terms is approximately equal to the difference in GPP.
Citation: Journal of Climate 32, 14; 10.1175/JCLI-D-18-0620.1

Contributions of the vorticity, relative humidity, air instability, and vertical wind shear to the GPP difference between the TC and non-TC genesis groups. The sum of the four terms is approximately equal to the difference in GPP.
Citation: Journal of Climate 32, 14; 10.1175/JCLI-D-18-0620.1
Contributions of the vorticity, relative humidity, air instability, and vertical wind shear to the GPP difference between the TC and non-TC genesis groups. The sum of the four terms is approximately equal to the difference in GPP.
Citation: Journal of Climate 32, 14; 10.1175/JCLI-D-18-0620.1

The 850-hPa vorticity anomaly (shading) and wind difference (vector) between the TC genesis and non-TC genesis groups.
Citation: Journal of Climate 32, 14; 10.1175/JCLI-D-18-0620.1

The 850-hPa vorticity anomaly (shading) and wind difference (vector) between the TC genesis and non-TC genesis groups.
Citation: Journal of Climate 32, 14; 10.1175/JCLI-D-18-0620.1
The 850-hPa vorticity anomaly (shading) and wind difference (vector) between the TC genesis and non-TC genesis groups.
Citation: Journal of Climate 32, 14; 10.1175/JCLI-D-18-0620.1
Figure 4 shows that the vorticity difference can primarily be attributed to the divergence term, while both the 3D vorticity advection and the tilting term make negative contributions. The sum of the three terms is approximately equal to the vorticity difference tendency, demonstrating that the result is robust.

Composite 850-hPa vorticity anomaly tendency terms. Terms 1, 2, and 3 are the contributions of the 3D vorticity advection, tilting, and divergence terms, respectively, to the vorticity difference tendency. The sum term is the sum of terms 1, 2, and 3 and is approximately equal to the vorticity difference tendency.
Citation: Journal of Climate 32, 14; 10.1175/JCLI-D-18-0620.1

Composite 850-hPa vorticity anomaly tendency terms. Terms 1, 2, and 3 are the contributions of the 3D vorticity advection, tilting, and divergence terms, respectively, to the vorticity difference tendency. The sum term is the sum of terms 1, 2, and 3 and is approximately equal to the vorticity difference tendency.
Citation: Journal of Climate 32, 14; 10.1175/JCLI-D-18-0620.1
Composite 850-hPa vorticity anomaly tendency terms. Terms 1, 2, and 3 are the contributions of the 3D vorticity advection, tilting, and divergence terms, respectively, to the vorticity difference tendency. The sum term is the sum of terms 1, 2, and 3 and is approximately equal to the vorticity difference tendency.
Citation: Journal of Climate 32, 14; 10.1175/JCLI-D-18-0620.1
As a key factor closely associated with TC formation, relative humidity makes the largest contribution to the difference in GPP between the TC genesis and non-TC genesis groups. In other words, 500–700-hPa relative humidity variations largely control whether TCs are generated over the BoB during the PMT. Given that relative humidity is a function of specific humidity and air temperature, we examined the relative contributions of the two factors and found that the differences in 500–700-hPa relative humidity between the TC genesis and non-TC genesis groups can mainly be attributed to changes in specific humidity, not air temperature (results not shown).
Figure 5 shows the results of the analysis of the specific humidity anomaly budget. The differences in specific humidity between the TC genesis and non-TC genesis groups may primarily be attributed to vertical advection. Meanwhile, the apparent moisture sink and horizontal advection terms have a small positive and a small negative contribution, respectively (Fig. 5a). Furthermore, we find that vertical advection is mainly controlled by differences in vertical motion and the average specific humidity in the non-TC genesis group (Fig. 5b). The physical interpretation is discussed below. We note that the atmospheric boundary layer vorticity in the PMT during the 7 days prior to TC genesis in the TC genesis group is stronger than any 7-day-averaged vorticity before the monsoon onset date in the non-TC genesis group. Cyclonic flow at the top of the atmospheric boundary layer induces anomalous ascending motion through the Ekman pumping effect (Fig. 6). Considering that water vapor is concentrated in the low-level atmosphere, this anomalous ascending motion can efficiently transport sufficient water vapor to the middle-level atmosphere, increasing the specific humidity and relative humidity differential and eventually determining whether TCs are generated over the BoB during the PMT.

(a) Composite middle-level specific humidity anomaly tendency terms. (b) Separation of vertical advection of (a) into the product of the non-TC-group averaged ω and specific humidity (ωmSHm), the product of the ω difference between the TC and non-TC groups and the non-TC-group averaged specific humidity (ωdSHm), the product of the non-TC-group averaged ω and the specific humidity difference between both groups (ωmSHd), and the product of the difference in ω and specific humidity between both groups (ωdSHd).
Citation: Journal of Climate 32, 14; 10.1175/JCLI-D-18-0620.1

(a) Composite middle-level specific humidity anomaly tendency terms. (b) Separation of vertical advection of (a) into the product of the non-TC-group averaged ω and specific humidity (ωmSHm), the product of the ω difference between the TC and non-TC groups and the non-TC-group averaged specific humidity (ωdSHm), the product of the non-TC-group averaged ω and the specific humidity difference between both groups (ωmSHd), and the product of the difference in ω and specific humidity between both groups (ωdSHd).
Citation: Journal of Climate 32, 14; 10.1175/JCLI-D-18-0620.1
(a) Composite middle-level specific humidity anomaly tendency terms. (b) Separation of vertical advection of (a) into the product of the non-TC-group averaged ω and specific humidity (ωmSHm), the product of the ω difference between the TC and non-TC groups and the non-TC-group averaged specific humidity (ωdSHm), the product of the non-TC-group averaged ω and the specific humidity difference between both groups (ωmSHd), and the product of the difference in ω and specific humidity between both groups (ωdSHd).
Citation: Journal of Climate 32, 14; 10.1175/JCLI-D-18-0620.1

Composite of ω in the TC genesis group (solid line) and non-TC genesis group (dashed line) and the difference between TC genesis and non-TC genesis groups (dotted line).
Citation: Journal of Climate 32, 14; 10.1175/JCLI-D-18-0620.1

Composite of ω in the TC genesis group (solid line) and non-TC genesis group (dashed line) and the difference between TC genesis and non-TC genesis groups (dotted line).
Citation: Journal of Climate 32, 14; 10.1175/JCLI-D-18-0620.1
Composite of ω in the TC genesis group (solid line) and non-TC genesis group (dashed line) and the difference between TC genesis and non-TC genesis groups (dotted line).
Citation: Journal of Climate 32, 14; 10.1175/JCLI-D-18-0620.1
The vertical wind shear makes a small positive contribution to the difference in the GPP between the TC genesis and non-TC genesis groups, while the instability term makes a very small negative contribution, which can be neglected (Fig. 7). Although the vertical wind shear is relatively weak in the TC genesis group (Fig. 8), the difference between the two groups is not notable because of the weak winds during the PMT.

Composite of the difference in the instability term between the TC genesis and non-TC genesis groups.
Citation: Journal of Climate 32, 14; 10.1175/JCLI-D-18-0620.1

Composite of the difference in the instability term between the TC genesis and non-TC genesis groups.
Citation: Journal of Climate 32, 14; 10.1175/JCLI-D-18-0620.1
Composite of the difference in the instability term between the TC genesis and non-TC genesis groups.
Citation: Journal of Climate 32, 14; 10.1175/JCLI-D-18-0620.1

Composite of the vertical wind shear difference between the TC genesis and non-TC genesis groups.
Citation: Journal of Climate 32, 14; 10.1175/JCLI-D-18-0620.1

Composite of the vertical wind shear difference between the TC genesis and non-TC genesis groups.
Citation: Journal of Climate 32, 14; 10.1175/JCLI-D-18-0620.1
Composite of the vertical wind shear difference between the TC genesis and non-TC genesis groups.
Citation: Journal of Climate 32, 14; 10.1175/JCLI-D-18-0620.1
Together, these factors result in the difference in GPP between the TC genesis and non-TC genesis groups. These results can help understand why TCs form over the BoB during the PMT in some years but not others. From a synoptic-scale disturbance energy point of view, we can also understand the reasons for TC genesis during some of the PMTs from 1981 to 2016. By using high pass filtering (less than 7 days), the synoptic-scale wind data could be extracted. After that, the disturbance energy in the TC genesis group is much larger during the PMT (April–May) than that in the non-TC genesis group (Fig. 9). The more powerful disturbance may also promote TC genesis during the PMT of some years.

The difference in synoptic-scale disturbance energy during the PMT between the TC genesis and non-TC genesis groups.
Citation: Journal of Climate 32, 14; 10.1175/JCLI-D-18-0620.1

The difference in synoptic-scale disturbance energy during the PMT between the TC genesis and non-TC genesis groups.
Citation: Journal of Climate 32, 14; 10.1175/JCLI-D-18-0620.1
The difference in synoptic-scale disturbance energy during the PMT between the TC genesis and non-TC genesis groups.
Citation: Journal of Climate 32, 14; 10.1175/JCLI-D-18-0620.1
4. Conclusions and discussion
By quantitatively evaluating the various environmental parameters associated with the GPP, we found that the most important parameters in determining TC genesis over the BoB during the PMT are midtropospheric relative humidity and 850-hPa vorticity. Because of the weak winds during the PMT over the BoB, the vertical wind shear makes a small positive contribution, and the effect of the instability term associated with air temperature is negative and almost negligible.
Given the critical role of midtropospheric water vapor and low-level vorticity, vorticity and moisture budget analyses were carried out to further identify the elements that were most crucial to TC formation. The results showed that anomalous vertical advection is the major process affecting moisture change; this vertical advection is primarily caused by vertical motion anomalies and the specific humidity in the non-TC genesis group. Moreover, vertical motion variation can be attributed to the positive vorticity difference, which occurs because of the divergence term.
Based on the results above, we propose the following model of the environmental parameters that modulate TC genesis over the BoB during the PMT.
The comparison of the TC genesis and non-TC genesis groups shows a significant cyclonic flow anomaly at the 850-hPa level, which is closely related with the SST anomaly between the both groups. Our vorticity budget analysis confirms that the anomalous vorticity is primarily related to the divergence term, while 3D advection and the tilting term cause the opposite effect. However, the divergence term overwhelms the other two terms, leading to the positive vorticity difference between the TC genesis and non-TC genesis groups.
Cyclonic flow at the top of the boundary layer induces anomalous ascending motion, which transports moisture upward and increases humidity in the lower troposphere. Our moisture budget analysis indicates that anomalous vertical advection is the most important factor for increasing middle-level specific humidity. Changes in specific humidity then control relative humidity, which account for the greatest difference in the GPP between the two groups.
The vertical wind shear makes a small positive contribution to the difference in GPP. This result occurs because winds are weak during the PMT. Thus, the vertical wind shear is small and does not contribute much to the difference in GPP.
Finally, the instability term associated with 500- and 850-hPa air temperature is weaker in the TC genesis group than in the non-TC genesis group. This term also makes a small negative contribution to TC genesis, which is essentially negligible.
In summary, these environmental factors combine to determine TC occurrence over the BoB during the PMT in some years and not in others. The synoptic-scale disturbance energy during the PMT is larger in the TC genesis group than in the non-TC genesis group. This condition may make TC genesis more likely during the PMT of some years. Moreover, some questions—for instance, “What is responsible for a cyclonic anomaly in the TC genesis group and where does the synoptic-scale disturbance energy come from during the PMT?”—should be further studied in the future to pave the way for development and improvements to BoB TC forecasting, especially for STC forecasting.
Finally, the higher STC formation rate in April–May than in October–November is a very interesting question. This difference may be mainly attributed to the shift in the ISO propagation path during the pre- and postmonsoon transition periods. However, the issue still needs to be investigated in detail.
Acknowledgments
The authors thank JTWC, NCEP/NCAR, ECMWF, and NOAA for the use of datasets. This study is sponsored by National Key R&D Program of China Grant 2017YFA0603201, the Basic Scientific Fund for National Public Research Institutes of China Grant 2018Q05, NSFC Grant 41406030, Laboratory for Regional Oceanography and Numerical Modeling, Pilot National Laboratory for Marine Science and Technology (Qingdao) (2019A04), the China Scholarship Council, and SEAGOOS-MOMSEI project of WEST-PAC/IOC.
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