Impacts of Two Types of El Niño and La Niña Events on Typhoon Activity

The HadISST (Hadley Centre Sea Ice and Sea Surface Temperature) dataset is used to define the years of El Niño, El Niño Modoki, and La Niña events and to find out the impacts of these events on typhoon activity.The results show that the formation positions of typhoon are farther eastward moving in El Niño years than in La Niña years and much further eastward in El Niño Modoki years. The lifetime and the distance of movement are longer, and the intensity of typhoons is stronger in El Niño and in El Niño Modoki years than in La Niña years. The Accumulated Cyclone Energy of typhoon is highly correlated with the Oceanic Niño Index with a correlation coefficient of 0.79. We also find that the typhoons anomalously decrease during El Niño years but increase during El Niño Modoki years. Besides, there are two types of El Niño Modoki, I and II.The intensity of typhoon in El Niño Modoki I years is stronger than in El Niño Modoki II years. Furthermore, the centroid position of the Western Pacific Warm Pool is strongly related to the area of typhoon formation with a correlation coefficient of 0.95.


Introduction
Recent studies have found that there are two types of El Niño in the tropical Pacific, namely: Eastern-Pacific El Niño (EP-El Niño) and Central-Pacific El Niño (CP-El Niño) [1,2].The EP-El Niño is the canonical El Niño; a band of anomalous warm ocean water occurs in the eastern tropical Pacific.The CP-El Niño is also called El Niño Modoki, which is the band of anomalous warm ocean water occurring in the central equatorial Pacific.In this study, to avoid the confusion of the nomenclature used, hareafter the Eastern-Pacific El Niño is named as El Niño and the Central-Pacific El Niño is named as El Niño Modoki.The occurrences of anomalous warm water at different regions may cause different changes in air pressure, sea surface height, precipitation, and wind field [3][4][5][6][7].Yu and Kao [8] and Kao and Yu [9] pointed out that the generation mechanism of the El Niño tied to thermocline variations but the El Niño Modoki may be affected significantly by atmospheric forcing than by basin-wide thermocline variations.Changes of oceanic environment in El Niño and La Niña events may alter the formation and intensity of a typhoon because warmer oceanic environment is more suitable for its formation and intensity increase [10][11][12][13][14][15][16].Besides the influence of El Niño and La Niña events, Wang et al. [17] showed that different impacts of El Niño and El Niño Modoki events may also change the formation locations, durations, and intensities of tropical cyclones.They indicated that tropical cyclone tends to be more intense in El Niño years than in El Niño Modoki years.Furthermore, according to the rainfall anomaly patterns in southern China, C. Wang and X. Wang [18] indicated that there are two groups of El Niño Modoki, I and II.Different groups are associated with different atmospheric circulation patterns in the western North Pacific and therefore affect the typhoon tracks in the western North Pacific.However, the typhoon tracks, the effects of other characteristics of typhoons, such as the formation position, lifetime, and range of movement, and moving speed are still not clear.To statistically investigate the characteristics of typhoons in these abnormal events and their relationships with changes of the western Pacific warm pool (WPWP), we conduct this study using the Hadley Centre Sea Ice and Sea Surface Temperature (HadISST) dataset and the typhoon datasets from the Japan Meteorological Agency (JMA) and the Joint Typhoon Warning Center (JTWC).

Data and Methods
The Oceanic Niño Index (ONI) provided by the Climate Prediction Center in the National Oceanic and Atmospheric Administration (NOAA) is used to define El Niño and La Niña events.The anomalous ONI value of five consecutive months at or above +0.5 is defined as an El Niño event and at or below −0.5 is defined as a La Niña event.The El Niño Modoki Index (EMI) and the second mode of the empirical orthogonal functions (EOF) resulting from tropical Pacific sea surface temperature anomaly (SSTA) data are used to identify the El Niño Modoki pattern.The SSTA data is derived from HadISST, which is a monthly dataset with a spatial resolution of 1 ∘ ×1 ∘ .The El Niño Modoki Index (EMI) is defined as where the brackets with a subscript represent the areaaveraged SSTA over the central Pacific region A (10 ∘ S-10 ∘ N, 165 ∘ E-140 ∘ W), the eastern Pacific region B (15 ∘ S-5 ∘ N, 70 ∘ W-110 ∘ W), and the western Pacific region C (10 ∘ S-20 ∘ N, 125 ∘ E-145 ∘ E), respectively.
The area and sea surface temperature (SST) of WPWP might be affected by El Niño, El Niño Modoki, and La Niña events.To find out the changes of WPWP with typhoon characteristics during these events, the study area is limited to 40.5 ∘ N-30.5 ∘ S and 120.5 ∘ E-119.5 ∘ W. The area within the 28 ∘ C isotherm of SST is defined as the area of WPWP.It can be calculated by [19] where  is the area of WPWP,   is the latitude of the pixel within the WPWP, (111.319km) 2 is the area of each 1 ∘ grid, and  is the total number of pixels in the WPWP.The centroid of the WPWP is then defined as [20] where   is the zonal position of a pixel and   is the meridional position of a pixel within the WPWP.Typhoon data is obtained from JMA and JTWC.The contents of both datasets include longitude, latitude, lifetime, minimum pressure and maximum wind, length of movement, average moving speed, and range of movement of a typhoon.Typhoon grading intensity standards with reference to the JMA are according to the definition of National Hurricane Center.The Accumulated Cyclone Energy (ACE) formula is used to identify the intensity of a typhoon and is defined as [21]: where  is the number of typhoon in a year of each event,  is the total number of 6-hourly estimate in a typhoon, and  is the 6-hourly maximum sustained wind speed in knot (kt).The ACE index is widely used by NOAA and recent studies [22][23][24][25][26].It is a wind energy index, a combination of the number of typhoon, the existence time of a typhoon, and the intensing of a typhoon at each observing time.Previous study [18] shows that there are two groups of El Niño Modoki.Here we use the definitions of ONI and EMI and find the two types of El Niño Modoki, I and II.For El Niño Modoki I, it is the year of El Niño Modoki defined by EMI and is also the year of an El Niño year defined by ONI.For El Niño Modoki II, it is the year of El Niño Modoki defined by EMI but is a normal year defined by ONI.Using this definition, the years of El Niño, El Niño Modoki I, El Niño Modoki II, and La Niña events are listed in Table 1.Modoki II, and La Niña events, respectively.typhoon are summarized in Table 2.The lifetime, distance of movement, and movement range of typhoon are larger in El Niño/El Niño Modoki years than those in La Niña years.However, the moving speed is less different between the two events.In the period of 1977 to 2011, the lifetime, distance of movement, and movement range of typhoon are larger in El Niño Modoki I than in El Niño Modoki II years, but the moving speed is almost the same.The average formation position of typhoons is moved further eastward in El Niño years than in La Niña years and much further eastward in El Niño Modoki years.We also make a statistical analysis of typhoon in the northwest Pacific during the period of 1951 to 2011 and find that the typhoon strength and movement in El Niño and La Niña years are similar to the time period 1977-2011.Comparing toearlier relevant works [27,28], although the definition of El Niño and El Niño Modoki years in these  1950-51, 1954-57, 1962-63, 1964-65, 1967-68, 1970-72, 1973-76, 1984-85, 1988-89, 1995-96, 1998-01, 2007-08, 2010-12 works is slightly different, the results all indicate that the typhoons anomalously decrease during El Niño years but increase during El Niño Modoki years.

Activity of Western
We use ACE to measure overall activity of typhoon during a year.The calculation of average ACE (Unit: 10 4 kt 2 ) shows 292.1 in El Niño years, 316.1 in El Niño Modoki I years, 306.6 in El Niño Modoki II years, 217.5 in normal years, and 160.9 in La Niña years.This result indicates that the longer distances of typhoon movement and the higher maximum wind speed of typhoon result in larger ACE value.This observation is consistent with the aforementioned statistical results.Figure 3 shows the mean ACE of a year in the five events.Figure 4 is a scatter plot of ACE and ONI with a coefficient of determination ( 2 ) of 0.6.This clarifies that the formation position and the intensity of typhoon are obviously affected by El Niño, El Niño Modoki, and La Niña events.
The definition of maximum wind speed of typhoons provided by JMA (10 min mean) is different from that of  JTWC (1 min mean).Therefore, the occurrence percentage of typhoon strength from both datasets may be different.A comparison of both datasets from 1977 to 2011 is shown in Table 3  that the most occurrence is in El Niño years and then followed by El Niño Modoki I years, El Niño Modoki II years, normal years, and La Niña years, respectively.

Conclusions
This is a preliminary study on the impacts of El Niño, El Niño Modoki, and La Niña events on the typhoon activity.We identify 19 El Niño events and 21 La Niña events during the period  of 1950-2012.We also find that there are two types of El Niño Modoki, I and II.The statistical results show that the lifetime, length of movement, and range of movement of typhoons are larger in El Niño years than those in La Niña years.The intensity in El Niño years is relatively strong, but the moving speed is almost the same as that in La Niña years.The average intensity of typhoon in El Niño Modoki I years is stronger than that in El Niño Modoki II years.The formation positions of typhoon are moved further eastward in El Niño years than that in La Niña years and much further eastward in El Niño Modoki years.ACE and ONI is corrected with a correlation coefficient of 0.79.The WPWP area is larger in El Niño and El Niño Modoki years than that in La Niña years.The centroid of the WPWP and the position of the typhoon formation are highly correlated with a correlation coefficient of 0.95.
Niño Modoki, and La Niña.The years of El Niño and La Niña in the period of 1950-2012 are defined by ONI.We have identified 19 El Niño events and 21 La Niña events during the data span.In the El Niño years, warm water moves from west to east with Kelvin waves in the tropical Pacific and replaces the cold surface water of the Humboldt Current.Extensive Pacific warming and the reduction in easterly trade winds limit upwelling of cold water in the equatorial eastern Pacific.The La Niña year is the opposite of the El Niño year; SST across the eastern and central equatorial Pacific is lower than normal.The El Niño Modoki has its warm SST anomaly in the 10 ∘ S∼10 ∘ N, 165 ∘ E∼140 ∘ W. We applied the empirical orthogonal function (EOF) analysis to the tropical Pacific SST to identify modes of variability relevant to the El Niño Modoki pattern and identified El Niño Modoki events by EMI and the EOF results.Four patterns of SSTA in the equatorial Pacific are shown in Figure 1.From 1977 to 2012, the El Niño Modoki events occurred in eight years.The EOF1 pattern counts about 50% of the tropical Pacific SST variability.Comparing the time series of its principal component with the normalized ONI, the correlation coefficient is up to 0.94.The EOF2 explains 12% of the tropical Pacific SST variability and shows the El Niño Modoki pattern in the equatorial Pacific.The warmest SST occurs in the central Pacific, flanked by colder water to the west and east.The correlation coefficient between EMI and the second principle component is 0.84.

Figure 2 :
Figure 2: The average formation area of typhoon in El Niño years (Red), El Niño Modoki I years (Magenta), El Niño Modoki II years (Green), La Niña years (Blue), and normal years (Black).The semimajor and semiminor axes of an ellipse are the standard deviation of formation positions of typhoons in longitude and latitude, respectively.

2 )Figure 3 : 5 ACE (10 4 kt 2 )Figure 4 :
Figure 3: The mean of ACE of a year in the five events.The bar represents one standard deviation.
Figure 5 shows the distribution of average SST in El Niño, El Niño Modoki I, El Niño Modoki II, La Niña, and normal years.Compared to normal years, warm water moves from west to the eastern tropical Pacific in El Niño years, moves to the central tropical Pacific in El Niño Modoki years, and shrinks to the western tropical Pacific in La Niña years.Due to the effect of El Niño, El Niño Modoki, and La Niña events on the SST distribution, the WPWP area is also changed in different events.The average area of WPWP is 3.53 × 10 7 km 2 in El Niño years, 3.43 × 10 7 km 2 in El Niño Modoki I years, 3.35 × 10 7 km 2 in El Niño Modoki II years, 3.14 × 10 7 km 2 in normal years, and 3.16×10 7 km 2 in La Niña years as shown in

Figure 6 .
Figure 6.Figure 7 reveals the average location of the centroid of WPWP in different events.It is at 0.6 ∘ N, 170.1 ∘ E in El Niño years, at 0.6 ∘ N, 168.3 ∘ E in El Niño Modoki I years, at 0.5 ∘ N, 169.4 ∘ E in El Niño Modoki II years, at 0.9 ∘ N, 164.1 ∘ E in normal years, and at 0.9 ∘ N, 162.3 ∘ E in La Niña years.A comparison between the location of the centroid of WPWP and the formation of typhoon in different events is displayed in Figure 8.The correlation coefficient between locations of WPWP centroid and typhoon formation is up to 0.95.This implies that El Niño, El Niño Modoki, and La Niña events indeed affect the formation position of a typhoon.
Figure 6.Figure 7 reveals the average location of the centroid of WPWP in different events.It is at 0.6 ∘ N, 170.1 ∘ E in El Niño years, at 0.6 ∘ N, 168.3 ∘ E in El Niño Modoki I years, at 0.5 ∘ N, 169.4 ∘ E in El Niño Modoki II years, at 0.9 ∘ N, 164.1 ∘ E in normal years, and at 0.9 ∘ N, 162.3 ∘ E in La Niña years.A comparison between the location of the centroid of WPWP and the formation of typhoon in different events is displayed in Figure 8.The correlation coefficient between locations of WPWP centroid and typhoon formation is up to 0.95.This implies that El Niño, El Niño Modoki, and La Niña events indeed affect the formation position of a typhoon.

Figure 6 :
Figure 6: The average WPWP area in the five events.The bar represents one standard deviation.

Table 1 :
The years of El Niño, El Niño Modoki I, El Niño Modoki II, and La Niña events from 1950 to 2012.

Table 2 :
The statistic results of typhoon in Niño years, El Niño Modoki I years, El Niño Modoki II years, normal years, and La Niña years from 1977 to 2011.

Table 3 :
Percentage of different typhoon categories of each event for JMA and JTWC from 1977 to 2011.
/www.nhc.noaa.gov/aboutsshws.php).Therefore, we divided the Category of Saffir-Simpson scale into two parts for analysis, Category 1 + 2 and Category 3 + 4 + 5.The results show that the occurrence frequency of Category 1 + 2 and Category 3 + 4 + 5 is reduced in La Niña years.For strong typhoon cases, that is, Category 3 + 4 + 5, both datasets show . Categories 1 to 5 are classified by the Saffir-Simpson hurricane wind scale.The rating is based on a hurricane's sustained wind speed.Tropical storm is defined as the maximum sustained winds between 34 and 64 knots, Category 1 is reserved for maximum sustained winds between 64 and 83 knots, Category 2 is 83-96 knots, Category 3 is 96-113 knots, Category 4 is 113-136 knots,