Contribution of Tropical Cyclones to Precipitation around Reclaimed Islands in the South China Sea

: Tropical cyclones (TCs) play an important role in the precipitation of tropical oceans and islands. The temporal and spatial characteristics of precipitation have become more complex in recent years with climate change. Global warming tips the original water and energy balance in oceans and atmosphere, giving rise to extreme precipitation events. In this study, the monthly precipitation ratio method, spatial analysis, and correlation analysis were employed to detect variations in precipitation in the South China Sea (SCS). The results showed that the contribution of TCs was 5.9% to 10.1% in the rainy season and 7.9% to 16.8% in the dry season. The seven islands have the same annual variations in the precipitation contributed by TCs. An 800 km radius of interest was better for representing the contribution of TC-derived precipitation than a 500 km conventional radius around reclaimed islands in the SCS. Four track patterns of TCs were deﬁned. The order according to the primary pattern of contribution was I (26–85.3%) > IV (12.8–29.8%) > III (4.3–29%) > II (11.5–24%). The average distance between islands and TCs was 1163 and 712 km in the rainy and dry seasons, respectively. The average contribution was larger in La Niña than in El Niño periods. These results could be beneﬁcial for managing rainwater resources, especially the TC-induced precipitation in the reclaimed islands. negative, but all the islands did not show significant correlation at the 0.01 level with ENSO events for 2001–2018. The contributions of TC-induced precipitation among the seven islands positively correlated with one another at the 0.01 level; in other words, TC-induced precipitation was mainly consistent in the region of the reclaimed islands.


Introduction
Precipitation is a major natural source of fresh water for maintaining ecological balance and promoting the sustainable development of islands and reefs in the tropical Pacific. Total precipitation can be separated into tropical cyclone (TC) precipitation and non-TC precipitation (e.g., seasonal rainfall) [1,2]. TCs are important contributors to precipitation in the tropical marine areas and islands [3][4][5]. Such contribution varies significantly across different land and sea areas of the world. For instance, in Mexico, the highest contribution of TCs was 40% of total annual rainfall from 2001 to 2013 [6]. In the Mekong River Basin, the largest contribution of TC precipitation for 34 years was 12.4% [7]. On the Australian coast, the maximum percentage contribution of TC-induced precipitation was 55% [8]. At the global scale, TCs contributed to about 35-50% of annual precipitation [9]. Precipitation controls the formation and evolution of freshwater lenses through regulating recharge in reclaimed islands [10][11][12][13][14]. Therefore, the proportions of TC-induced precipitation are important.
TCs are the dominant drivers for the occurrence of precipitation in the South China Sea (SCS), as the SCS is one of the origins of TCs and is frequently affected each year [15,16]. Available information indicates that the increased contribution of TC-induced precipitation to summer rainfall was 30% along the coastal regions in southern China [17]. The larger interannual variations of September and October

Data
The data of half-hourly precipitation (GPM IMERG Final Precipitation L3 Half Hourly 0.1° × 0.1° V06) in the SCS during 2001-2018 were collected from Global Precipitation Measurement (https://gpm.nasa.gov/data/directory) [36]. We selected seven points to represent seven different reclaimed islands ( Figure 1) and obtained daily and monthly precipitation data by summing the halfhourly meteorological data.
The best-track data for each TC at 6 h time intervals from 2001 to 2018 were obtained from the Shanghai Typhoon Institute (STI) of the China Meteorological Administration (http://TCdata.typhoon.org.cn/), including the latitude-longitude position, the maximum sustained surface wind speed (WND), and the minimum central pressure. The quality of the TC tracks was controlled using the method of Ying et al. [37]. Due to uncertainties in tracking tropical depressions, we excluded the contribution of tropical depressions to precipitation in this study, but we showed the spatial variation of tropical depressions ( Figure 1). ENSO phases were derived from SST anomalies in the region 5° N-5° S, 170°-120° W (i.e., Niño-3.4), which is also the most important region for WNP TC activities [38]. Monthly ENSO data were obtained from the Climate Prediction Center of the National Oceanic and Atmospheric Administration (https://www.cpc.ncep.noaa.gov).
In situ data were measured by using rain barrels on two islands (MJ island and YS island), including daily and monthly precipitation data. The daily data were for 24 May to 11 June 2017 on MJ island, and the monthly data were for August 2015 to July 2016 on YS island.

Data
The data of half-hourly precipitation (GPM IMERG Final Precipitation L3 Half Hourly 0.1 • × 0.1 • V06) in the SCS during 2001-2018 were collected from Global Precipitation Measurement (https://gpm.nasa.gov/data/directory) [36]. We selected seven points to represent seven different reclaimed islands ( Figure 1) and obtained daily and monthly precipitation data by summing the half-hourly meteorological data.
The best-track data for each TC at 6 h time intervals from 2001 to 2018 were obtained from the Shanghai Typhoon Institute (STI) of the China Meteorological Administration (http://TCdata.typhoon. org.cn/), including the latitude-longitude position, the maximum sustained surface wind speed (WND), and the minimum central pressure. The quality of the TC tracks was controlled using the method of Ying et al. [37]. Due to uncertainties in tracking tropical depressions, we excluded the contribution of tropical depressions to precipitation in this study, but we showed the spatial variation of tropical depressions ( Figure 1). ENSO phases were derived from SST anomalies in the region 5 • N-5 • S, 170 • -120 • W (i.e., Niño-3.4), which is also the most important region for WNP TC activities [38]. Monthly ENSO data were obtained from the Climate Prediction Center of the National Oceanic and Atmospheric Administration (https://www.cpc.ncep.noaa.gov).
In situ data were measured by using rain barrels on two islands (MJ island and YS island), including daily and monthly precipitation data. The daily data were for 24 May to 11 June 2017 on MJ island, and the monthly data were for August 2015 to July 2016 on YS island.

The Monthly Precipitation Ratio (MPR)
The TC-induced precipitation (P TCs ) ratio (TPR) was defined as the ratio of summed TC-induced daily precipitation (P D ) to monthly total precipitation (P Total ) [7]. The P TCs was defined by the distance between the six-hourly interpolated tropical cyclone center and the island.
where TPR is the P TCs ratio, m is the number of days of TCs, P TCs is TC-induced precipitation, P Total is monthly total precipitation, and n is the days of a month.

Spatial Analysis and Statistics
We used the Arc Toolbox including Data Management Tools and Analysis Tools to analyze the best-track data for each TC obtained at 6 h time intervals from 2001 to 2018. The TCs were also classified and summarized. All the spatial analytical processes were completed in ArcGIS 10.5 (ESRI, Redlands, CA, USA).

Correlation Analysis
Pearson correlation coefficient was used to assess correlation between precipitation and ENSO at the p < 0.01 and p < 0.05 levels (two-tailed) over the years. If the p value is less than 0.05, the result is considered statistically significant and can be accepted. All the statistical analyses were performed using SPSS 22.0 (Statistical Package for the Social Sciences (IBM, Armonk, NY, USA)).

El Niño and La Niña Events
In order to investigate the relationship between TC-induced precipitation and El Niño-Southern Oscillation (ENSO) phases, a classification of El Niño and La Niña events for the years 2001-2018 was used. The classification was based on the National Criterion GB/T 33666-2017 using three-month averages of the Niño-3.4 index [39]. When the index was ≥0.5 • C (≤−0.5 • C) for at least five months, an El Niño (La Niña) event was identified. According to this criterion, seven El Niño periods and eight La Niña periods were identified. Table 1 shows the proportions of TCs of six different grades: Tropical depression (TD), Tropical storm (TS), Severe tropical storm (STS), Typhoon (TY), Strong typhoon (STY), and super typhoon [27]. Obviously, TYs, STYs, and super typhoons accounted for only 13.5%. TSs and STSs accounted for 42.8%, and TDs, 36.9%. Therefore, approximately 80% of the TCs were equally or less intense than STSs.

Spatiotemporal Variation of TCs
The best-track data for the maximum sustained surface wind speed (WND) of each TC collected at 6 h time intervals from 2001 to 2018 were analyzed. The spatial distribution of the TCs, along with intensity (Table 1) and tracks, are shown in Figure 1. TCs with six different intensities had complicated spatial distributions. Super typhoons were located in the northeast (lying north of 10 • N and east of 108 • E) of the reclaimed islands. The distribution range for TYs was more than 8 • N and 106 • E. The TCs around the reclaimed islands mainly consisted of TDs, TSs, and STSs. The TCs track almost covered the whole sea area above 5 • N, and no TCs occurred in the tropics with a latitude lower than   Figure 2 shows the spatial distribution of TCs from 2001 to 2018. The whole area is divided into small squares (1 • × 1 • ) to analyze the numbers of TC centers in space. The squares with more than 20 TC centers each were located to the northeast of the reclaimed islands, except for two squares with 10 and 15 TCs, separately. Squares with more than 10 centers each were located north of 10 • N, and a square with even 32 was located north of 16 • N. The best-track data for the maximum sustained surface wind speed (WND) of each TC collected at 6 h time intervals from 2001 to 2018 were analyzed. The spatial distribution of the TCs, along with intensity (Table 1) and tracks, are shown in Figure 1. TCs with six different intensities had complicated spatial distributions. Super typhoons were located in the northeast (lying north of 10° N and east of 108° E) of the reclaimed islands. The distribution range for TYs was more than 8° N and 106° E. The TCs around the reclaimed islands mainly consisted of TDs, TSs, and STSs. The TCs track almost covered the whole sea area above 5° N, and no TCs occurred in the tropics with a latitude lower than 4° N. The TCs mainly moved from the eastern Pacific Ocean to the western Eurasian continent and even land. Figure 2 shows the spatial distribution of TCs from 2001 to 2018. The whole area is divided into small squares (1° × 1°) to analyze the numbers of TC centers in space. The squares with more than 20 TC centers each were located to the northeast of the reclaimed islands, except for two squares with 10 and 15 TCs, separately. Squares with more than 10 centers each were located north of 10° N, and a square with even 32 was located north of 16° N. The TCs were generally concentrated between July and October, hardly occurring between January and April. At least one tropical cyclone occurred between July and September each year. There were four TCs in February, the least TC-prone month over the 18 years (2001-2018). September was the most prone month, in which a total of 46 TCs occurred from 2001 to 2018. There were rarely more than five cyclones in a single month (Figure 3a). The TCs were generally concentrated between July and October, hardly occurring between January and April. At least one tropical cyclone occurred between July and September each year. There were four TCs in February, the least TC-prone month over the 18 years (2001-2018). September was the most prone month, in which a total of 46 TCs occurred from 2001 to 2018. There were rarely more than five cyclones in a single month (Figure 3a). The transformation in average monthly numbers of TCs was found in three different stages that every seven years was divided from 2001 to 2018 ( Figure 3b). The numbers of TCs in the three most TC-prone months (July, August, and September) were five times those in the four least TC-prone months (January, February, March, and April). The frequency of TCs in the first stage was 17% higher than that in the third, while that in the second was the same as that in the third. In the rainy season, the frequency of TCs was 15.4% higher in the first stage than that in the third. In the dry season, the number of TCs was 30% higher in the first stage than that in the third. Obviously, the frequency of TCs increased owing to climate change in recent years.

Characteristics of Precipitation and ENSO
The proportions of the different grades of precipitation on seven islands were analyzed. The statistical data for the 21 years showed that days of light rain accounted for 51.9-53% of the year; moderately rainy days, 8.2-9.2%; and heavily (or above) rainy days, less than 10%. The results indicated that light and moderate rain were similarly dominant in the seven reclaimed islands. Meanwhile, days without rain accounted for 28.7-30.6% of the whole year ( Figure 4a). Figure 4b shows that the rate of contribution to precipitation was negatively correlated with the rainfall intensity. For example, the contribution of light rain was only 11.5-11.9%, that of moderate rain was 16.1-17.9%, and that of heavy (or above) rain was over 65%. It was therefore crucial to quantify the contribution of TCs to rainfall, as TCs usually bring extreme rainfall. Precipitation in the rainy season was higher than the mean precipitation at most times and conversely, that in the dry season was almost lower than the mean precipitation. From the point of developing trend, more and more precipitation has occurred in the rainy seasons in recent years, The transformation in average monthly numbers of TCs was found in three different stages that every seven years was divided from 2001 to 2018 ( Figure 3b). The numbers of TCs in the three most TC-prone months (July, August, and September) were five times those in the four least TC-prone months (January, February, March, and April). The frequency of TCs in the first stage was 17% higher than that in the third, while that in the second was the same as that in the third. In the rainy season, the frequency of TCs was 15.4% higher in the first stage than that in the third. In the dry season, the number of TCs was 30% higher in the first stage than that in the third. Obviously, the frequency of TCs increased owing to climate change in recent years.

Characteristics of Precipitation and ENSO
The proportions of the different grades of precipitation on seven islands were analyzed. The statistical data for the 21 years showed that days of light rain accounted for 51.9-53% of the year; moderately rainy days, 8.2-9.2%; and heavily (or above) rainy days, less than 10%. The results indicated that light and moderate rain were similarly dominant in the seven reclaimed islands. Meanwhile, days without rain accounted for 28.7-30.6% of the whole year ( Figure 4a). Figure 4b shows that the rate of contribution to precipitation was negatively correlated with the rainfall intensity. For example, the contribution of light rain was only 11.5-11.9%, that of moderate rain was 16.1-17.9%, and that of heavy (or above) rain was over 65%. It was therefore crucial to quantify the contribution of TCs to rainfall, as TCs usually bring extreme rainfall.
Precipitation in the rainy season was higher than the mean precipitation at most times and conversely, that in the dry season was almost lower than the mean precipitation. From the point of developing trend, more and more precipitation has occurred in the rainy seasons in recent years, aggravating the unevenness of seasonal precipitation (Figure 5a indicated that light and moderate rain were similarly dominant in the seven reclaimed islands. Meanwhile, days without rain accounted for 28.7-30.6% of the whole year (Figure 4a). Figure 4b shows that the rate of contribution to precipitation was negatively correlated with the rainfall intensity. For example, the contribution of light rain was only 11.5-11.9%, that of moderate rain was 16.1-17.9%, and that of heavy (or above) rain was over 65%. It was therefore crucial to quantify the contribution of TCs to rainfall, as TCs usually bring extreme rainfall. Precipitation in the rainy season was higher than the mean precipitation at most times and conversely, that in the dry season was almost lower than the mean precipitation. From the point of developing trend, more and more precipitation has occurred in the rainy seasons in recent years,

Monthly and Seasonal Contribution of TC-Induced Precipitation
The monthly precipitation can be decomposed into two components: TC-induced precipitation (PTCs) and non-TC-induced precipitation (PN). Figure 6 shows the average monthly (a-g) and seasonal (h) contribution of TCs to precipitation in the radii of 500 km and 800 km.

Monthly and Seasonal Contribution of TC-Induced Precipitation
The monthly precipitation can be decomposed into two components: TC-induced precipitation (PTCs) and non-TC-induced precipitation (P N ). Figure 6 shows the average monthly (a-g) and seasonal (h) contribution of TCs to precipitation in the radii of 500 km and 800 km.
When the radius was 800 km, all seven islands had two peaks in January and December. According to the months in which the peaks occurred, the seven islands could be separated into two groups: (I) DM, NX, ZB, and MJ; (II) HY, CG, and YS. In Group I, the third peak in April (15.4-39.8%) was the same. In Group II, they had the same third peaks in March (2.3-15%). Furthermore, all of the islands had two minimum contribution rates in July (0%) and August (0%). In addition, when the radius was 500 km, although all seven islands had the same trends as the radius of 800 km, all had at least 2 minimum contribution rates. Obviously, TC-induced precipitation was underestimated in the radius of 500 km, especially in the rainy season, as the smaller radius could not cover all the TCinduced precipitation areas around the reclaimed islands.
The rainy season (dry season) contribution was the average contribution over six months in the rainy season (dry season). Figure 6h displays the seasonal contribution of TCs to precipitation in the radii of 500 km and 800 km. In the radius of 800 km, contribution in the rainy season ranged from 5.9% to 10.1%, while that in the dry season ranged from 7.9% to 16.8%. When the radius was 500 km, contribution in the rainy season was 4.0% to 7.5%, and that in the dry season was 1.4% to 9.2%. The contributions of the rainy and dry seasons were, respectively, underestimated by 1.9-2.6% and 6.5-7.6% in the radius of 500 km compared to those determined in the radius of 800 km. However, the radius of 500 km was too small to contain all the TC-derived precipitation around the islands; consequently, the contributions were underestimated.  When the radius was 800 km, all seven islands had two peaks in January and December. According to the months in which the peaks occurred, the seven islands could be separated into two groups: (I) DM, NX, ZB, and MJ; (II) HY, CG, and YS. In Group I, the third peak in April (15.4-39.8%) was the same. In Group II, they had the same third peaks in March (2.3-15%). Furthermore, all of the islands had two minimum contribution rates in July (0%) and August (0%). In addition, when the radius was 500 km, although all seven islands had the same trends as the radius of 800 km, all had at least 2 minimum contribution rates. Obviously, TC-induced precipitation was underestimated in the radius of 500 km, especially in the rainy season, as the smaller radius could not cover all the TC-induced precipitation areas around the reclaimed islands.

Interannual Contribution of TC-induced Precipitation
The rainy season (dry season) contribution was the average contribution over six months in the rainy season (dry season). Figure 6h displays the seasonal contribution of TCs to precipitation in the radii of 500 km and 800 km. In the radius of 800 km, contribution in the rainy season ranged from 5.9% to 10.1%, while that in the dry season ranged from 7.9% to 16.8%. When the radius was 500 km, contribution in the rainy season was 4.0% to 7.5%, and that in the dry season was 1.4% to 9.2%. The contributions of the rainy and dry seasons were, respectively, underestimated by 1.9-2.6% and 6.5-7.6% in the radius of 500 km compared to those determined in the radius of 800 km. However, the radius of 500 km was too small to contain all the TC-derived precipitation around the islands; consequently, the contributions were underestimated.  (Figure 8c), the highest contributions were 2-6% lower for the same years.

Interannual Contribution of TC-induced Precipitation
The trends in the precipitation contributed by TCs were similar, but the contribution rate was clearly lower, by 2-6%, when the radius was 500 km than when it was 800 km. Hence, the contribution rate was underestimated with the 500 km radius. When the SST was >0.5 • C, the contribution rate was close to zero, and when the SST fluctuated around zero, the contribution rate was the highest. However, the two records for 2010 could not be explained, because using the mean SST meant that the distribution of SST within or across years could not be analyzed. Therefore, the relationship between TCs and ENSO according to El Niño and La Niña event is discussed in Section 4.3.  The trends in the precipitation contributed by TCs were similar, but the contribution rate was clearly lower, by 2-6%, when the radius was 500 km than when it was 800 km. Hence, the contribution rate was underestimated with the 500 km radius. When the SST was >0.5 °C, the contribution rate was close to zero, and when the SST fluctuated around zero, the contribution rate was the highest. However, the two records for 2010 could not be explained, because using the mean SST meant that the distribution of SST within or across years could not be analyzed. Therefore, the relationship between TCs and ENSO according to El Niño and La Niña event is discussed in Section 4.3.

Influence of Radius on TC-Derived Precipitation
The radius defined by the distance between the six-hourly interpolated tropical cyclone center Water 2020, 12, x 10 of 17 [34]. Secondly, preliminary work mainly considered the landfall TCs but neglected the initial stage of tropical cyclone motion at sea [8]. The optimal radius for defining TC-induced precipitation will be critical for improving the forecast of the contribution of TC-induced precipitation in the future. The numbers of TCs at different distances were variable because of the continuous movement of TCs. Although the number of events increased beyond 800 km, it rained on the ocean instead of producing effective rainfall on the island, resulting in the contribution of TC-induced precipitation on the islands decreasing as calculated by formulas (1) and (2). The number of TCs was less than 100 when the distance was less than 500 km. When the distance was larger than 500 km, the increase in TCs approximately followed a quadratic curve (Figure 9).

Influence of Radius on TC-Derived Precipitation
The radius defined by the distance between the six-hourly interpolated tropical cyclone center and island varied between months and years. For instance, the TC tracks were closer to Hainan island in the dry than in the wet years in September and October in 1965-2010 [18]. Figure 8 shows the distance between the tropical cyclone center and island. Taking CG as an example, the three nearest months were January (mean, 450 km), February (mean, 595 km), and March (mean, 420 km), while the four farthest months were June (mean, 1258 km), July (mean, 1390 km), August (mean, 1420 km), and September (mean, 1342 km). The average radii were 1163 km and 712 km in the rainy and dry seasons, respectively. The radius was larger than 500 km as we considered both the precipitation originated from rainband and the pre-precipitation. In a word, we think it was the contribution of TC to total precipitation as long as the rainfall was caused by TC. Moreover, the differences in radius led to two groups divided according to interannual contribution of TC-induced precipitation. There are two possible explanations for the inaccuracy when using the 500 km radius in our study area. Firstly, the radius of 500 km was defined in a static climatological view, so it varied between different regions [34]. Secondly, preliminary work mainly considered the landfall TCs but neglected the initial stage of tropical cyclone motion at sea [8]. The optimal radius for defining TC-induced precipitation will be critical for improving the forecast of the contribution of TC-induced precipitation in the future.
The numbers of TCs at different distances were variable because of the continuous movement of TCs. Although the number of events increased beyond 800 km, it rained on the ocean instead of producing effective rainfall on the island, resulting in the contribution of TC-induced precipitation on the islands decreasing as calculated by formulas (1) and (2). The number of TCs was less than 100 when the distance was less than 500 km. When the distance was larger than 500 km, the increase in TCs approximately followed a quadratic curve (Figure 9). of TCs. Although the number of events increased beyond 800 km, it rained on the ocean instead of producing effective rainfall on the island, resulting in the contribution of TC-induced precipitation on the islands decreasing as calculated by formulas (1) and (2). The number of TCs was less than 100 when the distance was less than 500 km. When the distance was larger than 500 km, the increase in TCs approximately followed a quadratic curve (Figure 9).

Track Patterns of TCs
According to the relationship between the position of the tropical cyclone and its sphere of interest and the motion process of the TCs, four types of track modes were defined ( Figure 10): (I) both the initial and terminal points were inside the sphere of interest; (II) the initial point was inside but the terminal point was outside the sphere of interest; (III) the initial point was outside but the terminal point was inside the sphere of interest; (IV) both the initial and terminal points were outside the sphere of interest.

Track Patterns of TCs
According to the relationship between the position of the tropical cyclone and its sphere of interest and the motion process of the TCs, four types of track modes were defined ( Figure 10): (I) both the initial and terminal points were inside the sphere of interest; (II) the initial point was inside but the terminal point was outside the sphere of interest; (III) the initial point was outside but the terminal point was inside the sphere of interest; (IV) both the initial and terminal points were outside the sphere of interest. The influence of these four types of patterns on precipitation was different: pattern (I) remained unchanged inside as the radius increased, so it could maintain a continuous contribution to precipitation; pattern (II) moved away from the island as the radius increased; pattern (III) remained close to the island as the radius increased; and pattern (IV) was able to convert to pattern (I) as the radius increased. Therefore, the four different types of tropical cyclone track patterns could lead to significant impact between distance and precipitation as shown in Figure 11. The influence of these four types of patterns on precipitation was different: pattern (I) remained unchanged inside as the radius increased, so it could maintain a continuous contribution to precipitation; pattern (II) moved away from the island as the radius increased; pattern (III) remained close to the island as the radius increased; and pattern (IV) was able to convert to pattern (I) as the radius increased. Therefore, the four different types of tropical cyclone track patterns could lead to significant impact between distance and precipitation as shown in Figure 11. Figure 11 shows the numbers of TCs in four track patterns with radii of 500 and 800 km over the 18 years. Track patterns II and IV represented the greatest numbers. Track pattern I existed only in HY and YS when the radius was 500 km (Figure 11a), while it did not exist only in MJ when the radius was 800 km (Figure 11b). TCs of track pattern II occurred 5-14 times in the seven islands within the radius of 800 km, but that number was about half within the radius of 500 km. For instance, there were 14 TCs of track pattern II (the most) in ZB and 5 (the least) in HY when the radius was 800 km, while there were 7 and 1, respectively, when the radius was 500 km. Track pattern III happened 5-9 times within the radius of 800 km and 1-2 times in that of 500 km. Similarly, track pattern IV occurred 21-35 times within 800 km and 19-25 times within 500 km. In brief, a larger radius enables the more accurate quantification of TCs of the four track patterns, owing to the average distance between the TCs and islands being approximately 1000 km, as shown in Figure 8. The influence of these four types of patterns on precipitation was different: pattern (I) remained unchanged inside as the radius increased, so it could maintain a continuous contribution to precipitation; pattern (II) moved away from the island as the radius increased; pattern (III) remained close to the island as the radius increased; and pattern (IV) was able to convert to pattern (I) as the radius increased. Therefore, the four different types of tropical cyclone track patterns could lead to significant impact between distance and precipitation as shown in Figure 11.  Figure 11 shows the numbers of TCs in four track patterns with radii of 500 and 800 km over the 18 years. Track patterns II and IV represented the greatest numbers. Track pattern I existed only in HY and YS when the radius was 500 km (Figure 11a), while it did not exist only in MJ when the radius was 800 km (Figure 11b). TCs of track pattern II occurred 5-14 times in the seven islands within the radius of 800 km, but that number was about half within the radius of 500 km. For instance, there were 14 TCs of track pattern II (the most) in ZB and 5 (the least) in HY when the radius was 800 km, while there were 7 and 1, respectively, when the radius was 500 km. Track pattern III happened 5-9  Figure 12 shows the contributions of TC precipitation for the four track patterns within the 800 km radius. Type I occurred once on six of the islands (YS, ZB, NX, CG, HY, and DM) and was absent on MJ island. The average contribution of type I was 26-85.3%, and the maximum contribution occurred in YS. The average contribution of type II reached 11.5-24%, and the largest contribution was 88.5% on YS. For type III, the average contribution was 4.3-29%, and the maximum contribution was 51.2% on CG. For type IV, the average contribution was 12.8-29.8%, and the highest contribution was 86.8% in MJ. The islands could be divided into three categories based on the orders of the contribution rates. The first primary order was I (26-85.3%) > IV (12.8-29.8%) > III (4.3-29%) > II (11.5-24%), represented by HY, ZB, DM. The second order was I > IV > II > III, including YS and NX. The contribution rate for type I was the highest, due to almost all the moisture carried by the TCs falling into the sphere of interest (the circular region within a radius of 800 km). The third order was III > IV > II > I, represented by MJ.
was 51.2% on CG. For type IV, the average contribution was 12.8-29.8%, and the highest contribution was 86.8% in MJ. The islands could be divided into three categories based on the orders of the contribution rates. The first primary order was I (26-85.3%) > IV (12.8-29.8%) > III (4.3-29%) > II (11.5-24%), represented by HY, ZB, DM. The second order was I > IV > II > III, including YS and NX. The contribution rate for type I was the highest, due to almost all the moisture carried by the TCs falling into the sphere of interest (the circular region within a radius of 800 km). The third order was III > IV > II > I, represented by MJ.

Impact of ENSO on TC-Derived Precipitation
After separating tropical cyclone precipitation, the relationship between TC-derived precipitation and ENSO was analyzed. The Pearson correlation coefficients for the ENSO and TCinduced precipitation contribution are shown in Table 2. The coefficients for TC-induced precipitation and ENSO were all negative, but all the islands did not show significant correlation at the 0.01 level with ENSO events for 2001-2018. The contributions of TC-induced precipitation among the seven islands positively correlated with one another at the 0.01 level; in other words, TC-induced precipitation was mainly consistent in the region of the reclaimed islands.

Impact of ENSO on TC-Derived Precipitation
After separating tropical cyclone precipitation, the relationship between TC-derived precipitation and ENSO was analyzed. The Pearson correlation coefficients for the ENSO and TC-induced precipitation contribution are shown in Table 2. The coefficients for TC-induced precipitation and ENSO were all negative, but all the islands did not show significant correlation at the 0.01 level with ENSO events for 2001-2018. The contributions of TC-induced precipitation among the seven islands positively correlated with one another at the 0.01 level; in other words, TC-induced precipitation was mainly consistent in the region of the reclaimed islands.
The TC-induced precipitation contributions were obviously more increased in La Niña events than in El Niño events with the alternation of warm and cold SST leading to variations in TCs ( Table 3). The peak of SST was the SST at the maximum absolute value of fluctuation. There were six El Niño and eight La Niña events in our study. The largest TC-induced precipitation contributions in El Niño events was in MJ. In the La Niña events, the contributions of TC-induced precipitation were notably higher, and the maximum was 72.3%, in the period of July 2007 to June 2008. In the neutral period, the range of TC-induced precipitation contribution was between La Niña events and El Niño events. The results are similar to those of previous studies in other regions, in that the rainfall was positively correlated with La Niña [40][41][42]. However, in the seven islands, the TC-induced precipitation contributions exhibited significant spatial variations, as the TC-induced precipitation was asymmetric. The potential physical mechanisms underlying the correlation between TC precipitation and ENSO simply were the reflection in the atmosphere of changes in ocean circulation caused by abnormal sea temperature. Oceanic temperature and ocean current changes will influence the atmosphere and lead to variations of TC precipitation. For example, during the La Niña event, the abnormally cold water is in the central and eastern Pacific Ocean. The southeast trade wind blows the sun-heated seawater to the western Pacific Ocean. The temperature of the sea in the western Pacific Ocean increases, the pressure drops, and humid air accumulates to form the TC precipitation. However, the physical mechanisms between TC precipitation and ENSO were complicated. In a word, ENSO significantly affected the TC-induced precipitation, presenting a challenge for the accuracy of forecasting in the future.

Uncertainty Analysis
Based on in situ data from two rain stations, we analyzed the differences in precipitation between the in situ and IMERG data ( Figure 13). The in situ and IMERG data by month were similar, except for September, October, and June. Overall, the IMERG data for precipitation were overestimates compared to the in situ data, but the increasing and decreasing trends were consistent (Figure 13a). This error was mainly caused by the IMERG measurements [36]. Additionally, the daily precipitation was compared between the in situ and IMERG data, the error in the daily data obviously being more difficult to determine (Figure 13b). However, the error was still acceptable except for a few points. It was perhaps caused by random error and systematic error in the IMERG data. Briefly, although there were some errors in the IMERG data, they could still reflect the precipitation characteristics of the study area, especially in the absence of actual daily precipitation long-term series (Figure 13c).

Uncertainty Analysis
Based on in situ data from two rain stations, we analyzed the differences in precipitation between the in situ and IMERG data ( Figure 13). The in situ and IMERG data by month were similar, except for September, October, and June. Overall, the IMERG data for precipitation were overestimates compared to the in situ data, but the increasing and decreasing trends were consistent (Figure 13a). This error was mainly caused by the IMERG measurements [36]. Additionally, the daily precipitation was compared between the in situ and IMERG data, the error in the daily data obviously being more difficult to determine (Figure 13b). However, the error was still acceptable except for a few points. It was perhaps caused by random error and systematic error in the IMERG data. Briefly, although there were some errors in the IMERG data, they could still reflect the precipitation characteristics of the study area, especially in the absence of actual daily precipitation long-term series (Figure 13c). Figure 13. In situ and IMERG data of monthly precipitation in YS (a) and daily precipitation in MJ (b); the box plots indicate the differences between the in situ and IMERG data (c). Figure 13. In situ and IMERG data of monthly precipitation in YS (a) and daily precipitation in MJ (b); the box plots indicate the differences between the in situ and IMERG data (c).

Conclusions
Based on the 6 h precipitation and the best-track data for each TC collected at 6 h time intervals from 2001 to 2018, the contribution of TCs to precipitation around the reclaimed islands in the South China Sea was estimated. The ENSO phases were derived from SST anomalies of Niño-3.4. This paper describes the monthly, seasonal, and annual contributions of TCs and the impacts of ENSO, TC track patterns, and the radius of interest on the contributions around the reclaimed islands in the South China Sea. We conclude the following points.
The contribution of TCs was 5.9 to 10.1% in the rainy season and 7.9 to 16.8% in the dry season. This was mainly affected by the influence of the radius on the TC-derived precipitation. The seven islands have the same annual variations in the precipitation contributed by TCs.
An 800 km radius (the distance between the hourly interpolated tropical cyclone center and island) of interest was better for representing the contribution of TC-induced precipitation than a 500 km conventional radius around the reclaimed islands in the South China Sea. According to the relationship between the position of the tropical cyclone center and spheres of interest in the motional process of the TCs, four types of track patterns were defined. The order of the primary patterns by contribution was I (26-85.3%) > IV (12.8-29.8%) > III (4.3-29%) > II (11.5-24%).
The average distances between the tropical cyclone center and island were 1163 and 712 km in the rainy and dry seasons, respectively. The relationship between TC-derived precipitation and ENSO indicates that average TCs contribute more during La Niña than El Niño periods around the reclaimed islands in the South China Sea.
The results could be beneficial for managing rainwater resources, especially the TC-induced precipitation in the reclaimed islands, and supplying freshwater to maintain the stability of freshwater lenses in the dry season.