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The Joint Typhoon Warning Center (JTWC) provides historical best-track information over the NIO from 1945 to 2018. Using these data, Duan et al. found that there was a sudden change in the frequency of tropical cyclones over the NIO during the mid to late 1970s, from an annual average of 12.4 in the time period 1945-1976 to 3.7 in 1977-2006 [27]. This change may be related to the inconsistencies in observational methods (Mandke and Bhude [15]). After the 1970s, more reliable meteorological satellites and radar systems were used to monitor tropical cyclone activity and their intensity was estimated with the Dvorak model (Chu et al. [28]; Dvorak [29]). The quality of the historical data provided by the India Meteorological Department and the JTWC has been discussed (Evan and Camargo [22]; Zhang et al. [30]). They showed that the India Meteorological Department dataset has a much shorter time period, beginning in 1990, and has irregular time intervals, mainly 3 h, but also 6, 9, 12 and 15 h intervals. By contrast, the JTWC dataset is of good quality, with a longer duration and more stable records estimated every 6 h. We therefore used the tropical cyclone best-track data from 1977 to 2018 and the wind radii information from 2001 to 2018 issued by the JTWC. In addition, the monthly mean reanalysis data at a resolution of 2.5°×2.5°provided by the National Centers for Environmental Prediction/National Center for Atmospheric Research (NCEP/NCAR) were also used to investigate the background environmental circulation (Kalnay [31]).
The JTWC best-track data include the serial number of the tropical cyclone, its name, time (0000, 0600, 1200 and 1800 GMT), center location, the maximum 1-min sustained wind speed near the center (Vmax, units: knots, where 1 kt=0.514 m s-1), the intensity grade, the specified wind (34, 50 and 64 kt) radii in four quadrants, i.e., northeast (NE), southeast (SE), southwest (SW) and northwest (NW), the radius of the maximum wind speed and the radius of the last closed isobar. Based on Vmax, the intensity grade is classified into seven levels by the JTWC criteria: tropical depression, Vmax < 34 kt (< 17.5 m s-1); tropical storm, Vmax 34-63 kt (17.5-32.4 m s-1); hurricane category 1 (H1), Vmax 64-82 kt (32.9-42.2 m s-1); hurricane category 2 (H2), Vmax 83-95 kt (42.7-48.9 m s-1); hurricane category 3 (H3), Vmax 96-112 kt (49.4-57.6 m s-1); hurricane category 4 (H4), Vmax 113-135 kt (58.1-69.4 m s-1); and hurricane category 5 (H5), Vmax >135 kt (>69.4 m s-1).
The definition of tropical cyclones in this study are samples which exhibit wind speeds in excess of 17 kt in the NIO. The four tropical cyclones for which the Vmax value was not estimated are not included in the statistical samples. The genesis points are defined as the location at which a disturbance was first classified as a tropical depression with Vmax >17 kt in the NIO, which is consistent with previous studies (Kikuchi and Wang [12]; Evan and Camargo [22]; Molinari and Vollaro [32]; Frank and Roundy [33]). We define the duration of the tropical cyclone as the total time for which Vmax >17 kt and the average duration of tropical cyclones is obtained by dividing the sum of the duration per year by the annual frequency of tropical cyclones. With reference to Ng and Chan, 80°E is taken as the boundary between the Arabian Sea and the BoB [34]. Tropical cyclones generated in the region (0-25°N, 50-80°E) are defined as Arabian Sea tropical cyclones, whereas those generated in the region (0-25°N, 80-110°E) are classified as BoB tropical cyclones. The BoB tropical cyclones include a few that originated from the Indochina Peninsula or the Gulf of Thailand and subsequently entered the BoB.
We use the asymmetric index α defined by Song and Klotzbach to quantitatively evaluate the asymmetry of tropical cyclones:
$$ \alpha=\frac{1}{2} \sqrt{\left(R_{\mathrm{NE}}-R_{\mathrm{SW}}\right)^{2}+\left(R_{\mathrm{SE}}-R_{\mathrm{NW}}\right)^{2}} $$ (1) where RNE, RSW, RSE and RNW refer to the 34 kt wind radii in the NE, SW, SE and NW quadrants, respectively [35]. When the wind field of the tropical cyclone is perfectly symmetrical, α will be zero. Otherwise, a non-zero value of α indicates asymmetry and the direction of the longest radius θ is estimated as follows:
$$ \theta=\arctan \left(\frac{R_{\mathrm{NE}}-R_{\mathrm{SE}}-R_{\mathrm{SW}}+R_{\mathrm{NW}}}{R_{\mathrm{NE}}+R_{\mathrm{SE}}-R_{\mathrm{SW}}-R_{\mathrm{NW}}}\right) $$ (2) where θ is categorized by its value in the nearest eight directions: east (0°), NE, north (90°), NW, west (180°), SW, south (270°or −90°) and SE.
The significance of the time series trends is tested using the non-parametric Mann-Kendall test (Kendall [36]). The main advantage of this method is that the sample does not need to obey a certain distribution and a few outliers can be tolerated. It is therefore suitable for non-normally distributed data, as found in meteorology and hydrology, and is easy to calculate.
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The radius of maximum wind (RMW) of tropical cyclones over the NIO is recorded every 6 h. The total number of samples during the time period 2001-2018 is 2011, including 778 over the Arabian Sea and 1233 over the BoB. Fig. 5 shows the frequency distribution of the RMW; the six samples in the BoB with RMW > 150 km are not shown. Most of the tropical cyclones have an RMW between 15 and 90 km, accounting for about 79% of tropical cyclones over the Arabian Sea and 88% over the BoB. The mean value of the RMW over the Arabian Sea (BoB) is 51 (55) km and the RMW with the most samples is 28 (74) km, indicating that the RMW over the Arabian Sea is smaller than that over the BoB.
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There were 885 tropical cyclones over the NIO from 2001 to 2018 based on the 34 kt wind radii (R34) measured at 6 h intervals. The shape parameters of the 34 kt surface wind of tropical cyclones over the Arabian Sea and BoB are mostly in the NE quadrant—that is, the gale mainly appears in the NE quadrant of the tropical cyclone circulation. The size of a tropical cyclone is defined as the azimuthal mean radius of the 34 kt surface wind (Lu et al. [44]). Tropical cyclones over the NIO have an average size of 139 km, which is much smaller than that of tropical cyclones over the western North Pacific, which have an average size of 203 km (Lu et al. [44]). The mean sizes of tropical cyclones over the Arabian Sea and the BoB are 146 and 135 km, respectively. Table 1 gives the mean and maximum size in different intensity and seasonal groups and shows that strong cyclones are larger than tropical storms in both seas, consistent with the results of Mohapatra and Sharma—that is, the size (34 kt) of tropical cyclones in the Arabian Sea and BoB increases significantly with the increase in the intensity of the tropical cyclone [45]. The size of tropical cyclones in the NIO in early summer is larger than that in autumn, especially in the Arabian Sea.
Intensity grade over the Arabian Sea (BoB) Time period over the Arabian Sea (BoB) Tropical storm H1-H5 May-June October-December Average size (km) 127 (122) 186 (172) 153 (140) 144 (136) Maximum size (km) 248 (257) 329 (310) 329 (310) 250 (269) Minimum size (km) 35 (19) 72 (83) 56 (19) 35 (37) Sample size 252 (388) 115 (134) 141 (135) 211 (325) Table 1. Size of tropical cyclones in groups of different intensity and different seasons.
Figure 6 shows the regional distribution of the size of tropical cyclones over the NIO on 2.5°×2.5°grids and suggests that the maximum value of the mean size can reach more than 200 km (red grids) in both sea areas, although the number of samples is small. More than half the grids in the Arabian Sea have tropical cyclones with a mean size > 150 km (orange and red grids), mainly distributed in the western basin. In the BoB, the most frequent size of tropical cyclones is 100-150 km (yellow grids) and grids with a mean size > 150 km (orange and red grids) are only located in the area north of 15°N. This shows that the size of tropical cyclones in the Arabian Sea are generally larger than those in the BoB.
Figure 6. Regional distribution of the size of TC (units: km) over the NIO from 2001 to 2018. The grid size is 2.5°×2.5°. The number in each grid is the number of samples.
There are some differences in the wind radii in different quadrants of the tropical cyclones. The mean value of R34 over the SW, NW, NE and SE quadrants of tropical cyclones over the Arabian Sea (BoB) are 145 (130), 148 (129), 151 (136) and 152 (137) km, respectively. On average, R34 is larger over the Arabian Sea than over the BoB in all four quadrants and the wind radius is larger in the eastern quadrants (NE, SE) than in the western quadrants (NW, SW) in both seas.
Figure 7a and 7b show the frequency of R34 in the four quadrants of tropical cyclones over the Arabian Sea and BoB, respectively. The number of tropical cyclone samples with R34 between 100 and 150 km is highest in both basins, although there are differences between the four quadrants. The proportion of samples with R34 < 150 km is greater in the BoB than in the Arabian Sea. Taking the NE quadrant as an example, samples with R34 < 150 km account for 58 (69)% of the total samples over the Arabian Sea (BoB). The number of samples with R34 between 200 and 250 km over the Arabian Sea and R34 > 250 km over the BoB shows that the eastern quadrants have a higher frequency of tropical cyclones than the western quadrants do, whereas the number of samples with R34 between 50 and 100 km is significantly greater in the western quadrants than in the eastern quadrants in both basins. This shows the asymmetrical structure of tropical cyclones over the NIO, with large (small) values of R34 occurring mainly in the eastern (western) quadrants.
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The asymmetry index (α) and the direction of the longest radius (θ) of tropical cyclones over the NIO from 2001 to 2018 show that the mean values of α in the Arabian Sea and BoB are 19.69 and 20.85 km, respectively, and α can reach up to 40 km in both seas (Fig. 8). The regions with significant asymmetry in the Arabian Sea are mainly located on the SW coast of the Indian Peninsula and the east coast of the Arabian Peninsula, whereas the asymmetry in the central basin is weak. In the BoB, the grids with α > 20 (30) km are located north of 10°N (20°N) and the asymmetry is strong where the tropical cyclone makes landfall, especially in the eastern part of the Indian Peninsula and the coastline of Myanmar and Bangladesh. This shows the influence of terrain on the asymmetrical structure of tropical cyclones over the NIO.
Figure 8. Distribution of the asymmetry of TC over the NIO from 2001 to 2018. The shaded grid indicates the distribution of the asymmetry index α (units: km) of R34. The grid size is 5°×5°. The black number in each grid indicates the sample size and the blue number is the direction of the longest radius θ (units: °) of R34.
The value of θ is between -90 and + 90°in both seas—that is, the longest radius of the 34 kt surface wind is located in the eastern quadrants of the tropical cyclone circulation. The value of θ in the central basin of the Arabian Sea is mostly positive, which means that the longest radius is in the NE quadrant, whereas the longest radius in the coastal areas is often in the SE quadrant (θ < 0). The longest radius in the BoB is mostly in the NE quadrant (θ > 0) if the samples make landfall on the peninsula of India and north of 20°N, whereas it is always in the SE quadrant (θ < 0) when the samples are located in the central basin.