remote sensing Article Seasonal to Interannual Variability of Satellite-Based Precipitation Estimates in the Pacific Ocean Associated with ENSO from 1998 to 2014 Xueyan Hou 1 , Di Long 1, *, Yang Hong 1,2, * and Hongjie Xie 3 1 2 3 * State Key Laboratory of Hydroscience and Engineering, Department of Hydraulic Engineering, Tsinghua University, Beijing 100084, China; [email protected] School of Civil Engineering and Environmental Science, University of Oklahoma, Norman, OK 73070, USA Department of Geological Sciences, University of Texas at San Antonio, San Antonio, TX 78204, USA; [email protected] Correspondence: [email protected] (D.L.); [email protected] (Y.H.); Tel.: +86-10-6278-7394 (D.L. & Y.H.) Academic Editors: Qiusheng Wu, Richard Gloaguen and Prasad S. Thenkabail Received: 27 July 2016; Accepted: 28 September 2016; Published: 11 October 2016 Abstract: Based on a widely used satellite precipitation product (TRMM Multi-satellite Precipitation Analysis 3B43), we analyzed the spatiotemporal variability of precipitation over the Pacific Ocean for 1998–2014 at seasonal and interannual timescales, separately, using the conventional empirical orthogonal function (EOF) and investigated the seasonal patterns associated with El Niño–Southern Oscillation (ENSO) cycles using season-reliant empirical orthogonal function (SEOF) analysis. Lagged correlation analysis was also applied to derive the lead/lag correlations of the first two SEOF modes for precipitation with Pacific Decadal Oscillation (PDO) and two types of El Niño, i.e., central Pacific (CP) El Niño and eastern Pacific (EP) El Niño. We found that: (1) The first two seasonal EOF modes for precipitation represent the annual cycle of precipitation variations for the Pacific Ocean and the first interannual EOF mode shows the spatiotemporal variability associated with ENSO; (2) The first SEOF mode for precipitation is simultaneously associated with the development of El Niño and most likely coincides with CP El Niño. The second SEOF mode lagged behind ENSO by one year and is associated with post-El Niño years. PDO modulates precipitation variability significantly only when ENSO occurs by strengthening and prolonging the impacts of ENSO; (3) Seasonally evolving patterns of the first two SEOF modes represent the consecutive precipitation patterns associated with the entire development of EP El Niño and the following recovery year. The most significant variation occurs over the tropical Pacific, especially in the Intertropical Convergence Zone (ITCZ) and South Pacific Convergence Zone (SPCZ); (4) Dry conditions in the western basin of the warm pool and wet conditions along the ITCZ and SPCZ bands during the mature phase of El Niño are associated with warm sea surface temperatures in the central tropical Pacific, and a subtropical anticyclone dominating over the northwestern Pacific. These findings may be useful for prediction of seasonal precipitation anomalies over the Pacific Ocean during El Niño years and recovery years. Keywords: precipitation; seasonal evolution; interannual variability; EOF and SEOF; the Pacific Ocean 1. Introduction Precipitation is one of the basic climate factors that drives large-scale circulation and describes the water cycle on Earth [1,2]. It brings fresh water into the ocean, which dilutes the concentration of salt and has considerable impacts on ocean ecosystems [1,3]. El Niño–Southern Oscillation (ENSO), which is the dominant mode of interannual variability over the Pacific Ocean, influences convection and precipitation with anomalously warm sea surface temperatures (SSTs) in the eastern and central Remote Sens. 2016, 8, 833; doi:10.3390/rs8100833 www.mdpi.com/journal/remotesensing Remote Sens. 2016, 8, 833 2 of 18 equatorial Pacific Ocean, and thus affects the sources of fresh water upon which millions of people rely [4,5]. Therefore, understanding the variability of precipitation and its relationship with ENSO are of great importance. Before the advent of satellite remote sensing, studies of ocean precipitation were rare because long-term direct measurements of precipitation over the whole oceans were unavailable. The landmark publications of Ropelewski and Halpert [6,7] presented the global ENSO–precipitation relationship using data from several land- and island-based stations. Advances in remote sensing have provided us with long-term and globally complete satellite–gauge-merged precipitation products and satellite-based estimates, such as the Global Precipitation Climatology Project (GPCP) [8], the Climate Prediction Center Merged Analysis of Precipitation (CMAP) [9], and the Tropical Rainfall Measuring Mission (TRMM) Multi-satellite Precipitation Analysis (TMPA) [10]. Many studies have investigated the impacts of ENSO on precipitation using these satellite-based precipitation datasets [11–16]. For example, Dai and Wigley [11] and Haddad et al. [14] derived the global climatology and variability of ENSO-induced precipitation using the CMAP and TRMM datasets, respectively, and found that ENSO is the major driver of the interannual variability of global rainfall. In recent years, many efforts have been made to examine the climatology and variability of ocean precipitation using the TRMM dataset [4,14,17–19]. The TRMM satellite, which was launched in late November 1997 and ended on 15 April 2015, provided a unique 17-year dataset of global tropical rainfall. It was followed by the Global Precipitation Measurement (GPM), which aims to improve the accuracy of extratropical precipitation estimates. The TMPA datasets are currently among the most recognized satellite-based precipitation products available [4] and provide us with the opportunity to understand large-scale characteristics of precipitation over the Pacific Ocean more comprehensively. The most prominent precipitation structures in the Pacific Ocean are the Intertropical Convergence Zone (ITCZ) and the South Pacific Convergence Zone (SPCZ), the low-pressure zones where trade winds converge and considerable precipitation occurs because of excess solar heating and strong convection. Dorman and Bourke [20] reported that most rainfall north of 28◦ N occurs in winter, whereas the maximum amount of rainfall in the tropics occurs in July and August [20]. It was found that on interannual timescales, ENSO may drive changes in the magnitudes and positions of both the ITCZ and SPCZ. Climatologically, the ITCZ extends across the Pacific Ocean north of the equator, while the SPCZ extends southeast from the western central Pacific to approximately 30◦ S, 120◦ W in boreal winter [21]. During El Niño years, the ITCZ and SPCZ tend to merge in the central Pacific, accompanied by increasing rainfall in the ITCZ and the northeastern SPCZ [21,22]. Changes in precipitation over the ocean are significantly correlated with ocean dynamics through air–sea interactions. For example, SST anomalies, which are the expression of ENSO events and the response to evaporation and downward solar radiation, are generally observed positively correlated with precipitation in the tropics [15,23,24]. Precipitation variability is also generally proportional to wind speed variability associated with ENSO; high wind speeds are associated with higher evaporation and latent heat flux from the ocean to the atmosphere [15,25]. Recent studies have also reported that El Niño events can be divided into two types based on the area where the largest September–February SST anomaly occurs: central Pacific (CP) El Niño (i.e., El Niño Modoki), and eastern Pacific (EP) El Niño (i.e., traditional El Niño) [26–28]. In contrast to the traditionally recognized El Niño, the El Niño Modoki phenomenon is characterized by anomalously warm central equatorial Pacific flanked by anomalously cool regions to both the west and east. Note that different types of El Niño phenomena may produce a variety of effects in precipitation across the globe [26]. In most published studies, the variability of precipitation over the Pacific Ocean has been investigated individually on seasonal or interannual timescales [14,23,24,29–31]. However, a more comprehensive understanding of the seasonal cycles of ENSO–precipitation relationships is important considering that El Niño typically peaks in boreal winter but can be strong in any season [4,13]. The objective of this study is therefore to provide a more integrated perspective of the variability of precipitation over the Pacific on both seasonal and interannual timescales, and of the seasonal Remote Sens. 2016, 8, 833 3 of 18 evolution of precipitation associated with the two types of El Niño events in the Pacific, based on TRMM precipitation estimates from 1998 to 2014. The seasonal evolution patterns associated with ocean dynamic anomalies, including anomalies in SST, sea level, and sea surface wind (SSW), are also examined in this manuscript. The manuscript is organized as follows. Section 2 describes the datasets and methodologies used in this study. Results are presented in Section 3 in four parts: (1) seasonal and interannual variability of precipitation based on empirical orthogonal function (EOF) analysis; (2) dominant seasonal precipitation evolution associated with interannual variability derived from season-reliant EOF (SEOF) analysis; (3) relationships between the dominant SEOF modes of precipitation and climate indices (the ENSO index and the Pacific Decadal Oscillation index) identified through lagged correlation analysis; and (4) seasonal evolution patterns of ocean dynamic anomalies associated with SEOF modes of precipitation. A discussion of determining which type of El Niño dominates the seasonal evolution of ENSO–precipitation relationships is given in Section 4. Finally, conclusions are provided in Section 5. 2. Datasets and Methods Various satellite products were used to analyze the variability of precipitation and the associated ocean dynamic factors in the Pacific Ocean, including precipitation, SST, sea level anomalies (SLA), and SSW. Table 1 summarizes the sources, timespans, and the temporal and spatial resolutions of remote sensing datasets. These datasets include: the Tropical Rainfall Measuring Mission (TRMM) 3B43 precipitation product, Version 7, provided by the NASA Goddard Earth Sciences Data and Information Services Center; Optimum Interpolation SST, Version 2, provided by the NOAA/OAR/ESRL Physical Sciences Division [32]; SLA products derived from multiple satellite sensors (Jason-1, TOPEX/Poseidon, Geosat Follow-On, European Remote Sensing 2 and Environmental Satellite) and distributed by AVISO [33]; and the Cross-Calibrated Multi-Platform (CCMP) V1.1 ocean surface winds dataset derived from SSM/I, TMI, AMSR-E, SeaWinds on QuikSCAT, and SeaWinds on ADEOS-II [34] and provided by the NASA Physical Oceanography Distributed Active Archive Center (podaac.jpl.nasa.gov). Table 1. The sources, timespans, and spatial and temporal resolutions of the datasets. Variable Data Source Timespan Resolution Precipitation SST SLA Wind TRMM_3B43 V7 OI SST V2 AVISO CCMP V1.1 January 1998–present December 1981–present December 1992–present July 1987–December 2011 0.25◦ , monthly 1◦ , monthly 0.25◦ , monthly 0.25◦ , monthly In addition, four indices of Pacific climate variability were used in this study, the multivariate ENSO index (MEI) [35], the Pacific Decadal Oscillation (PDO) index [36], the El Niño Modoki index (EMI) [37], and the Niño 3 index [38]. A number of statistical methods were used to differentiate the seasonal and interannual variabilities of precipitation, including EOF [39] and SEOF [40] analysis. The EOF is a statistical method used to decompose the variability of a field into sums of modes, each of which is described as a spatial pattern and a time series [41]. To derive the variability of precipitation on an interannual timescale, 13-month running means were used to filter out annual variation and seasonal variability. EOF analysis was able to reveal the spatial patterns and temporal evolution of the dominant modes on seasonal or interannual timescales individually. However, the EOF was unable to determine the combined seasonal and interannual evolution of a single dominant mode. Therefore, we used the SEOF, which was discussed in detail by Wang and An [40], to identify the dominant season-dependent interannual variability modes and to depict seasonally evolving anomalies throughout a full year. El Niño is a strongly phase-locked phenomenon with a seasonal cycle, which initiates during the boreal spring or summer, peaks during autumn or winter, and Remote Sens. 2016, 8, 833 4 of 18 terminates during spring [42]. Therefore, the precipitation anomalies applied in the SEOF analysis were in the seasonal sequence of a “monsoon year” [43], beginning in the boreal summer of year 0, denoted as June–July–August (JJA(0)), to the boreal spring of the following year (year 1), referred to as March–April–May (MAM(1)). The precipitation anomalies for JJA(0), September–October–November (SON(0)), December–January–February (DJF(0) or D(0)JF(1)) and MAM(1) were together treated as a “yearly block” to construct a covariance matrix. After the EOF decomposition was performed, the Remote Sens. 2016, 8, 833 4 of 18 yearly block was then divided into four consecutive seasonal anomalies to identify seasonally evolving modes.(MAM(1)). The statistical significanceanomalies test applied the EOF and SEOF modes was based on the rule of The precipitation for toJJA(0), September–October–November (SON(0)), or D(0)JF(1)) MAM(1) of were treated of as aeach “yearly thumbDecember–January–February proposed by North et al.(DJF(0) [44]. The relativeand separation thetogether eigenvalues mode were 1/2 , where was block” construct a the covariance matrix. After EOF decomposition the yearly and N is examined bytocomputing sampling error, i.e.,the λ× (2/N) λ is performed, a given eigenvalue block was then divided into four consecutive seasonal anomalies to identify seasonally evolving the length of time series, and checking that the spacing between the two eigenvalues is larger than the modes. The statistical significance test applied to the EOF and SEOF modes was based on the rule of sampling error of them [44,45]. thumb proposed by North et al. [44]. The relative separation of the eigenvalues of each mode were We also used the laggedthe correlation and i.e., regression identify the 1/2, where methods examined by computing sampling error, λ × (2/N)analysis λ is a giventoeigenvalue andrelationships N is between seasonal modes forspacing precipitation climate-related indices and ocean the principal length of time series, evolving and checking that the between and the two eigenvalues is larger than the variables, sampling error them [44,45]. dynamic i.e.,ofSST, SLA, and SSW. We also used the lagged correlation and regression analysis methods to identify the relationships between principal seasonal evolving modes for precipitation and climate-related 3. Results indices and ocean dynamic variables, i.e., SST, SLA, and SSW. 3.1. Seasonal and Interannual Variability of Precipitation Based on EOF Analysis 3. Results The EOF was applied to the monthly precipitation anomalies to identify the leading modes 3.1. Seasonal and Interannual Variability of Precipitation Based to on EOF of precipitation over the Pacific Ocean. According the Analysis rule of North et al. [44], only the first two seasonal modes were statistically significant and distinguishable. leading The EOF was applied to the monthly precipitation anomalies to identify theThe leading modestwo of modes, precipitation over the Pacific Ocean. According to the rule of North et al. [44], only the first two which account for 20.8% and 7.4% of the total variance respectively, presented dominant seasonal seasonalinmodes were statistically significant and distinguishable. two modes modes, which variabilities precipitation. The spatial patterns of the firstThe twoleading leading are shown in account for 20.8% and 7.4% of the total variance respectively, presented dominant seasonal Figure 1a,b. The corresponding temporal coefficients of the two leading modes are presented in variabilities in precipitation. The spatial patterns of the first two leading modes are shown in Figure 1a,b. FigureThe 1c,d. The positive (negative) spatial positive (negative) temporal coefficients corresponding temporal coefficients of distributions the two leadingand modes are presented in Figure 1c,d. The yield positive precipitation anomalies, whereas the positive (negative) spatial distributions and positive (negative) spatial distributions and positive (negative) temporal coefficients yield positive precipitation the positive distributions and negative (positive) negative (positive)anomalies, temporalwhereas coefficients yield(negative) negativespatial precipitation anomalies. yield variation, negative precipitation Intemporal term coefficients of temporal the PCanomalies. of the first mode shown in Figure 1c indicates In term of temporal variation, the PC of the first mode shown in Figure 1c indicates seasonal seasonal variation of precipitation with peaks in June–August (boreal summer) and troughs in variation of precipitation with peaks in June–August (boreal summer) and troughs in December– December–February (boreal winter), whereas the PC of the second mode shown in Figure 1d exhibits February (boreal winter), whereas the PC of the second mode shown in Figure 1d exhibits variation variation with peaks in September–November (boreal autumn) troughs in March–May with peaks in September–November (boreal autumn) and troughs and in March–May (boreal spring). (boreal spring). The combination the for modes the two modes thus describes annual a consecutive annual cycle of The combination of the of PCs forPCs the two thus describes a consecutive cycle of variation in precipitation over the Pacific variation in precipitation over theOcean. Pacific Ocean. (a) Mode1 (b) Mode2 40oN 0.3 40oN 0.2 20oN 0.2 20oN 0.1 0.1 0o 0o 0 20oS -0.1 20oS 40oS -0.2 40oS 120oE 160oE 160oW 120oW 80oW -0.1 120oE 160oE (c) 3 Precipiation 2 1 160oW 120oW 80oW (d) 3 Precipiation 2 1 0 0 -1 -1 -2 -2 -3 1998 0 2000 2002 2004 2006 2008 2010 2012 2014 -3 1998 2000 2002 2004 2006 2008 2010 2012 2014 Figure 1. Seasonal variability of precipitation in the Pacific Ocean characterized by the first two Figure 1. Seasonal variability of precipitation in the Pacific Ocean characterized by the first two empirical orthogonal function (EOF) modes: (a,b) are the spatial patterns of EOF modes (Unit: mm/h); empirical orthogonal function (EOF) modes: (a,b) are the spatial patterns of EOF modes (Unit: mm/hr); (c,d) are the time series of normalized principal components (PC). (c,d) are the time series of normalized principal components (PC). Remote RemoteSens. Sens. 2016, 2016,8, 8,833 833 55 of of18 18 Figure 1a shows the spatial variation pattern of precipitation in boreal summer and winter. The Figure 1a shows the spatial variation pattern of precipitation in boreal summer and winter. most notable spatial feature is the approximately symmetrical but opposite variation structure north The most notable spatial feature is the approximately symmetrical but opposite variation structure and south of the latitude 5°N. Specifically, there is a zonal positive anomaly band along the ITCZ north and south of the latitude 5◦ N. Specifically, there is a zonal positive anomaly band along the within the latitudes of 5–20°N and negative anomaly bands in the SPCZ and eastern equatorial Pacific ITCZ within the latitudes of 5–20◦ N and negative anomaly bands in the SPCZ and eastern equatorial between latitudes of 5°S–5°N. These patterns mean that in boreal summer, rainfall increases in the Pacific between latitudes of 5◦ S–5◦ N. These patterns mean that in boreal summer, rainfall increases ITCZ and tropical offshore regions, including the South China Sea, Philippine Sea, and the seas west in the ITCZ and tropical offshore regions, including the South China Sea, Philippine Sea, and the of Mexico and Colombia, whereas rainfall decreases within 20°S–5°N, especially in the SPCZ region seas west of Mexico and Colombia, whereas rainfall decreases within 20◦ S–5◦ N, especially in the and the eastern equatorial Pacific between 5°S and 5°N. For the midlatitudes of 20–50°N, precipitation SPCZ region and the eastern equatorial Pacific between 5◦ S and 5◦ N. For the midlatitudes of 20–50◦ N, increases along the western offshore region but decreases in the northeastern Pacific in boreal precipitation increases along the western offshore region but decreases in the northeastern Pacific in summer, and the reverse situation occurs in boreal winter. In the midlatitudes of the South Pacific boreal summer, and the reverse situation occurs in boreal winter. In the midlatitudes of the South Ocean, in contrast, precipitation increases less significantly during austral winter but decreases in Pacific Ocean, in contrast, precipitation increases less significantly during austral winter but decreases austral summer. in austral summer. Figure 1b presents the spatial variation pattern of precipitation in boreal spring and autumn. Figure 1b presents the spatial variation pattern of precipitation in boreal spring and autumn. One remarkable feature is the shrinking of the ITCZ in boreal autumn and a widespread decrease in One remarkable feature is the shrinking of the ITCZ in boreal autumn and a widespread decrease precipitation in the equatorial Pacific, whereas it increases in the SPCZ and over the Maritime in precipitation in the equatorial Pacific, whereas it increases in the SPCZ and over the Maritime Continent. During boreal spring, however, a double ITCZ forms: one located north and another south Continent. During boreal spring, however, a double ITCZ forms: one located north and another south of the equator, along the latitudes of 5°N and 5°S, respectively. Meanwhile, a narrow ridge of high of the equator, along the latitudes of 5◦ N and 5◦ S, respectively. Meanwhile, a narrow ridge of high pressure and reduced precipitation forms between these two convergence zones. In the midlatitudes pressure and reduced precipitation forms between these two convergence zones. In the midlatitudes of the Northern Hemisphere, conditions become dry on the eastern coast of China and wet across of the Northern Hemisphere, conditions become dry on the eastern coast of China and wet across most most of the North Pacific Ocean during boreal autumn. For the midlatitudes of the South Pacific of the North Pacific Ocean during boreal autumn. For the midlatitudes of the South Pacific Ocean, Ocean, precipitation increases in austral autumn but decreases in austral spring. precipitation increases in austral autumn but decreases in austral spring. The interannual variability of precipitation was determined using EOF analysis on 13-month The interannual variability of precipitation was determined using EOF analysis on 13-month running mean datasets. The first mode of precipitation over the Pacific accounts for 36.5% of the total running mean datasets. The first mode of precipitation over the Pacific accounts for 36.5% of the total variance. The spatial distribution and principal components of interannual variability in precipitation variance. The spatial distribution and principal components of interannual variability in precipitation from July 1998 to June 2014 are shown in Figure 2. from July 1998 to June 2014 are shown in Figure 2. (a) Mode1 o 0.1 40 N o 20 N 0 0.05 o 0 o 20 S -0.05 o 40 S o 120 E o 160 E o 160 W o o 120 W 80 W (b) r=0.8101 3 Precipiation 2 MEI 1 0 -1 -2 -3 1999 2001 2003 2005 2007 2009 2011 2013 Figure 2. The EOF mode of interannual variability of precipitation in the Pacific Ocean. (a) Spatial Figure 2. The EOF mode of interannual variability of precipitation in the Pacific Ocean. (a) Spatial distribution (Unit: mm/h); (b) green line represents the normalized principal component (PC) of the distribution (Unit: mm/hr); (b) green line represents the normalized principal component (PC) of the first EOF mode; red line represents the Multivariate ENSO index (MEI). first EOF mode; red line represents the Multivariate ENSO index (MEI). Remote Sens. 2016, 8, 833 6 of 18 The time series Remote Sens. 2016, 8, 833of the PC has a close relationship with ENSO, with a correlation coefficient 6 of 18 of 0.81 (passing the 95% Student’s t-test). This correlation indicates that this EOF mode reveals The timeprecipitation series of the PC has a close relationship withENSO. ENSO,The withpositive a correlation coefficient of the interannual variability associated with PC values plotted in 0.81 (passing the 95% Student’s t-test). This correlation indicates that this EOF mode reveals the Figure 2b coincide with the El Niño years 2002–2003, 2004–2005, 2006–2007, 2009–2010, 2012–2013, and interannual precipitation variability associated with ENSO. The positive PC values plotted in Figure 2b 2014–2015, and the negative values coincide with the La Niña years 1998–1999, 1999–2001, 2007–2008, coincide with the El Niño years 2002–2003, 2004–2005, 2006–2007, 2009–2010, 2012–2013, and 2014–2015, and 2010–2011 [46,47]. The spatial in Figure 2a is characterized the significantly and the negative values coincidepattern with theshown La Niña years 1998–1999, 1999–2001, by 2007–2008, and positive, wedge-shaped, westward-pointing feature centered along the equator in the central tropical 2010–2011 [46,47]. The spatial pattern shown in Figure 2a is characterized by the significantly positive, Pacific that extendswestward-pointing eastward along the IPCZcentered during along El Niño negative precipitation wedge-shaped, feature the years. equatorMeanwhile, in the centralatropical Pacific that anomaly exists in thealong western region of the warm pool, i.e., overathe Maritime Continent and seas extends eastward the IPCZ during El Niño years. Meanwhile, negative precipitation anomaly exists in western region of the warm pool,precipitation i.e., over the Maritime Continent seas northeast northeast of the Australia. The reverse of these anomalies occursand during La Niñaofyears. Australia. The reverse of these precipitation anomalies occurs during La Niña years. Overall, thisyears. EOF Overall, this EOF mode describes the precipitation variability during El Niño and La Niña mode describes the precipitation variability during El Niño and La Niña years. 3.2. Dominant Seasonally Evolving Precipitation Patterns from SEOF Analysis 3.2. Dominant Seasonally Evolving Precipitation Patterns from SEOF Analysis The season-dependent interannual variability of precipitation in the Pacific Ocean was evaluated The season-dependent interannual variability of precipitation in the Pacific Ocean was evaluated through SEOF analysis. The first two leading modes account for 25.2% and 7.8% of the total variance, through SEOF analysis. The first two leading modes account for 25.2% and 7.8% of the total variance, respectively. According to the rule of North et al. (1982), these two modes were well distinguishable respectively. According to the rule of North et al. (1982), these two modes were well distinguishable fromfrom eacheach other andand from thethe remaining the 95% 95%confidence confidence level. other from remainingmodes modes at at the level. Figure 3 shows thethe time of the thefirst firsttwo twoSEOF SEOF modes of precipitation Figure 3 shows timeseries seriesofofthe the PCs PCs of modes of precipitation in thein the Pacific. BothBoth of these modes show variabilities. PC1 of the SEOF (SEOF-PC1) Pacific. of these modes showprominent prominent interannual interannual variabilities. PC1 of the SEOF (SEOF-PC1) reflects the ENSO cycle, withpositive positiveand and negative negative values to El and and La Niña reflects the ENSO cycle, with valuescorresponding corresponding toNiño El Niño La Niña years, respectively. This relationship indicates that the first SEOF mode (SEOF1) describes the years, respectively. This relationship indicates that the first SEOF mode (SEOF1) describes the seasonal seasonal evolution of precipitation associated with of the SEOF (SEOF-PC2) correlates evolution of precipitation associated with ENSO. PC2ENSO. of thePC2 SEOF (SEOF-PC2) correlates closely with closely with PC1 with a lag time of approximately one year, with a lagged correlation coefficient of PC1 with a lag time of approximately one year, with a lagged correlation coefficient of 0.6 (which 0.6 (which passes the 95% Student’s t-test); therefore, the second SEOF mode (SEOF2) lags behind passes the 95% Student’s t-test); therefore, the second SEOF mode (SEOF2) lags behind SEOF1 by SEOF1 by about one year. Figure 4 shows the seasonally evolving spatial patterns of the first two aboutSEOF one modes year. Figure 4 shows the seasonally of the firstpattern two SEOF modes of of precipitation. There is notableevolving similarityspatial betweenpatterns the general spatial of SEOF1 precipitation. There is notable similarity between the general spatial pattern of SEOF1 in Figure 4a and in Figure 4a and the precipitation pattern of the first EOF mode in Figure 2a. The main difference is the precipitation pattern of the first EOF mode in Figure 2a. The main difference is that the spatial that the spatial pattern of the SEOF mode depicts the seasonal evolution of precipitation with pattern of the SEOF mode Because depictsthe thepositive seasonal evolution of precipitation withtointerannual variability. interannual variability. values of the SEOF-PC1 correspond El Niño years, the spatial Figureof 4athe reveal the seasonal evolution El Because thepatterns positiveinvalues SEOF-PC1 correspond to of El precipitation Niño years, associated the spatialwith patterns in Niño Figure 4a events. reveal the seasonal evolution of precipitation associated with El Niño events. 2 (a) 1 0 -1 -2 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2 (b) 1 0 -1 -2 -3 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 Year Figure 3. (a) season-reliant empirical orthogonal function Figure 3. Normalized (a) NormalizedPCs PCsof ofthe the first first season-reliant empirical orthogonal function (SEOF) (SEOF) mode formode precipitation inin thethe Pacific Ocean from summer 1998 to spring (b) as in2014; (a), but(b) for as thein second mode. for precipitation Pacific Ocean from summer 19982014; to spring (a), but for the second mode. Remote Sens. 2016, 8, 833 Remote Sens. 2016, 8, 833 7 of 18 7 of 18 Figure 4. (a) Spatial patternsofofthe thefirst firstSEOF SEOF mode mode (SEOF1) precipitation anomalies fromfrom Figure 4. (a) Spatial patterns (SEOF1)ofofseasonal seasonal precipitation anomalies June–July–August of year 0 (JJA(0)) to March–April–May of the following year (MAM(1)); (b) June–July–August of year 0 (JJA(0)) to March–April–May of the following year (MAM(1)); (b) as asin in (a), (a), but for the second mode (SEOF2). Units: mm/hr. but for the second mode (SEOF2). Units: mm/h. The most notable feature in Figure 4a is that the positive precipitation anomaly dominates the The most notable feature in equatorial Figure 4a Pacific, is that the positive precipitation dominates ITCZ and SPCZ regions in the while the negative anomalyanomaly mainly occupies the the ITCZ and SPCZ regions in the Pacific, whileIslands. the negative anomaly mainly occupies Maritime Continent region andequatorial southeast of the Solomon More specifically, during the boreal the summer of year zero, i.e., and JJA(0), above-average occurs over regions eastduring of the the Maritime Continent region southeast of the precipitation Solomon Islands. Morethespecifically, Philippines, as well as along the ITCZ and SPCZ bands. During this period, a below-average boreal summer of year zero, i.e., JJA(0), above-average precipitation occurs over the regions east of precipitation pattern onlythe around islands Indonesia and the western coast of Mexico. the Philippines, as welloccurs as along ITCZthe and SPCZofbands. During this period, a below-average For the boreal autumn, i.e.,only SON(0), however, anomalously dry conditions to coast a largeofarea, precipitation pattern occurs around the islands of Indonesia and theexpand western Mexico. especially in the western Pacific from the South China Sea to the Maritime Continent. Meanwhile, the For the boreal autumn, i.e., SON(0), however, anomalously dry conditions expand to a large area, ITCZ band of high precipitation narrows and moves slightly equatorward. During the following especially in the western Pacific from the South China Sea to the Maritime Continent. Meanwhile, boreal winter, i.e., DJF(1), both the positive and negative precipitation variation patterns of the tropics the ITCZ band of high precipitation narrows and moves slightly equatorward. During the following are strengthened, and the development of El Niño reaches its mature phase. Precipitation increased boreal winter, DJF(1), both the negative variation of the tropics in both thei.e., ITCZ and SPCZ, but positive the bandand regions northprecipitation of the ITCZ and south patterns of the SPCZ in the are strengthened, and the development of El Niño reaches its mature phase. Precipitation increased central Pacific experience declines in precipitation. During the subsequent boreal spring, i.e., in bothMAM(1), the ITCZthe and SPCZ, butdry the region band regions of the ITCZ and south of the SPCZ the central anomalously extends north from the Philippines to Australia across the in Maritime Pacific experience precipitation. During subsequent borealthe spring, i.e.,part MAM(1), Continent in thedeclines western in Pacific. Meanwhile, in the the central tropical Pacific, western of the the SPCZ starts to shrink, and the diagonally-oriented eastern portion of the SPCZ that extends into anomalously dry region extends from the Philippines to Australia across the Maritime Continentthe in the sub-tropics to in experience high precipitation. Note that the equatorial western Pacific. continues Meanwhile, the central tropical Pacific, the western parteastern of the SPCZ startsPacific to shrink, 3°S and 10°S andeastern east of portion 150°W receives lowerthat than averageinto precipitation duringcontinues austral to and between the diagonally-oriented of the SPCZ extends the sub-tropics spring in El Niño years. A negative precipitation anomaly also occurs in the midlatitude Pacific ◦ ◦ experience high precipitation. Note that the eastern equatorial Pacific between 3 S and 10 SOcean and east in ◦both the Northern and Southern Hemispheres. The negative anomalies are found mainly over the of 150 W receives lower than average precipitation during austral spring in El Niño years. A negative Maritime Continent and the South Pacific during the onset of El Niño events, but these anomalies precipitation anomaly also occurs in the midlatitude Pacific Ocean in both the Northern and Southern shift to the North Pacific during the decay stage [13]. The opposite of the seasonal evolution of Hemispheres. The negative anomalies are found mainly over the Maritime Continent and the South precipitation associated with El Niño development described above occurs with La Niña. Pacific during thethe onset of El Niño events, butSEOF-PC1 these anomalies shift toitthe North Pacific Based on lagged correlation between and SEOF-PC2, is inferred that theduring spatial the decay stageof[13]. The(see opposite of the seasonal evolution precipitation associated witha El Niño pattern SEOF2 Figure 4b) is one year out of phaseofwith SEOF1. Figure 4b features less development described above occurs with La Niña. Based on the lagged correlation between SEOF-PC1 and SEOF-PC2, it is inferred that the spatial pattern of SEOF2 (see Figure 4b) is one year out of phase with SEOF1. Figure 4b features a less Remote Sens. 2016, 8, 833 8 of 18 significant spatial variation pattern that is approximately opposite to that of SEOF1 during the period from JJA(0) to DJF(1). In the boreal summer, negative precipitation anomalies occur over the seas east of the Philippines and north of Papua New Guinea and extend eastward along latitudes of 3–5◦ N to ◦ ◦ the Columbian Remote Sens.coast 2016, 8,and 833 southeastward to the southeast Pacific (~30 S, 120 W). This pattern 8 of 18 implies that the ITCZ in the northern hemisphere moves northward to about 10◦ N and that the SPCZ starts significant spatial variation pattern that is approximately opposite to that of SEOF1 during the period to shrink. The northwestern Pacific also receives above average precipitation during the summer. from JJA(0) to DJF(1). In the boreal summer, negative precipitation anomalies occur over the seas east During of SON(0), wet conditions occur on the coasts of Asia, especially over the South China Sea and the Philippines and north of Papua New Guinea and extend eastward along latitudes of 3–5°N to the Maritime Continent Meanwhile, thesoutheast band that extends northeastward fromimplies New Guinea the Columbian coastregion. and southeastward to the Pacific (~30°S, 120°W). This pattern to the central Pacific continues to experience dry conditions. Byand thethat boreal winter, these dry that thetropical ITCZ in the northern hemisphere moves northward to about 10°N the SPCZ starts to shrink. northwestern Pacific also receives average precipitation during summer.Islands, conditions occurThe over the Maritime Continent andabove north of New Guinea and thethe Solomon During SON(0), wetwet conditions occur on the coaststhe of Asia, especially overPacific. the SouthThe China Sea and while the anomalously conditions dominate central tropical ITCZ band east the Maritime Continent region. Meanwhile, the band that extends northeastward from New Guinea ◦ of 160 W moves closer to the equator during this season. A circle of above-average precipitation to the central tropical Pacific continues◦ to experience dry◦conditions. By the boreal winter, these dry occurs in the North around 140Continent E–170◦and W, 8–30 andGuinea extends toward the conditions occurPacific over the Maritime north N, of New andnortheastward the Solomon Islands, California coast. During the wet following spring, the ITCZ in thetropical Northern Hemisphere moves while the anomalously conditions dominate the central Pacific. The ITCZ band eastnorthward of 160°Wfrom movesthe closer to the equator during this A circle above-average precipitation and extends Philippines eastward to season. Mexico, whileofmost of the SPCZ regionoccurs experiences in the North Pacific around 140°E–170°W, 8–30°N, and extends northeastward toward the California below-average precipitation conditions. coast. During the following spring, the ITCZ in the Northern Hemisphere moves northward and extends from the Philippines eastward to Mexico, most of the SPCZ region experiences below3.3. Relationships between the Dominant SEOF Modeswhile and Climate Indices average precipitation conditions. To further demonstrate the relationships between the dominant SEOF modes of precipitation 3.3. Relationships the Dominant SEOF Modes and Climate Indices and climate variability,between the lagged correlations between the first two precipitation SEOF-PCs and the MEI and PDO index are shown in 5. Here, Year(the −1)dominant and Year(1), the abbreviations To further demonstrate theFigure relationships between SEOFwhich modes are of precipitation variability, the lagged correlations between the two precipitation and the by one of Year(and −1)climate and Year(1), indicate that the SEOF-PCs lagsfirst behind or leads SEOF-PCs its counterpart MEI and PDO index are shown in Figure 5. Here, Year(−1) and Year(1), which are the abbreviations year, respectively. Year(0) , which is the abbreviation of Year(0), denotes simultaneous correlation. of Year(−1) and Year(1), indicate that the SEOF-PCs lags behind or leads its counterpart by one year, The lagged correlations between the first SEOF mode and the MEI and PDO index are presented respectively. Year(0) , which is the abbreviation of Year(0), denotes simultaneous correlation. The in Figure 5a as red and between blue lines, respectively. Note the PDO correlation between the lagged correlations the first SEOF mode and thethat MEI and index arecoefficients presented in Figure SEOF-PC1 and in FigureNote 5a) are and exceed the 5% significance level from JJA 5a as redthe andMEI blue(red lines,line respectively. thatpositive the correlation coefficients between the SEOF-PC1 MEI (red line in indicates Figure 5a) are positive exceed the 5% significance from JJA to precipitation MAM to MAMand forthe Year(0), which that there and is simultaneous correlationlevel between the for Year(0), which indicates that there is simultaneous correlation between the precipitation SEOF1 SEOF1 and ENSO. Note that the SEOF1 and the MEI reach their maximum correlation coefficient of and ENSO. Note that the SEOF1 and the MEI reach their maximum correlation coefficient of 0.97 in 0.97 in DJF(0). ENSO exhibits significant phase locking to the seasonal cycle; it starts in boreal spring, DJF(0). ENSO exhibits significant phase locking to the seasonal cycle; it starts in boreal spring, maturesmatures in boreal winter and decays in following spring or summer [48]. Because ENSO events tend in boreal winter and decays in following spring or summer [48]. Because ENSO events tend to reachtotheir at the of the year, thatthe the SEOF1 is primarily associated reachpeaks their peaks at end the end of the year,we wespeculate speculate that SEOF1 is primarily associated with with episodes of ENSO development. episodes of ENSO development. (a) corr (SEOF1, MEI & PDO) 0.8 0.6 0.4 0.2 0 -0.2 -0.4 -0.6 -0.8 JJA Y(-1) SON DJF Y(0) MAM JJA SON DJF Y(1) MAM JJA SON JJA SON DJF MAM (b) corr (SEOF2, MEI & PDO) 0.8 0.6 0.4 0.2 0 -0.2 -0.4 -0.6 -0.8 JJA Y(-1) SON DJF Y(0) MAM JJA SON DJF Y(1) MAM DJF MAM Figure 5. (a) Lead–lag correlations betweenthe the first first SEOF and thethe MEIMEI (red (red line) and Figure 5. (a) Lead–lag correlations between SEOFPC PC and line)PDO andindex PDO index (blue line); (b) As in (a), but for the second mode. The dashed lines indicate at the 5% significance (blue line); (b) As in (a), but for the second mode. The dashed lines indicate at the 5% significance level level of the Student’s t-test. Year(−1) (Year(1)) denotes that the PC lags behind (leads) its counterpart of the Student’s t-test. Year(−1) (Year(1)) denotes that the PC lags behind (leads) its counterpart by one by one year; Year(0) denotes simultaneous correlation. JJA is boreal summer, SON is boreal autumn, year; Year(0) denotes simultaneous DJF is boreal winter, and MAM iscorrelation. boreal spring.JJA is boreal summer, SON is boreal autumn, DJF is boreal winter, and MAM is boreal spring. Remote Sens. 2016, 8, 833 9 of 18 Lagged correlations between the SEOF-PC1 and the PDO index (blue line in Figure 5a) are significant from boreal autumn, i.e., SON(0) to the summer of the next year, i.e., JJA(1). This lagged relationship indicates that PDO plays a crucial role in modulating the variability of precipitation on an interannual timescale. The correlations between the SEOF1 and the PDO index are weaker than those between the SEOF1 and the MEI and lag by one season, which signifies that PDO impacts the variability of precipitation from boreal autumn to the following spring and prolongs the impact of ENSO on precipitation by one season, specifically during the ENSO-decaying summer. Lagged correlations of the SEOF-PC2 with the MEI and PDO index are shown in Figure 5b as red and blue lines, respectively. The simultaneous correlations between them are not statistically significant at the 5% level, but the lagged correlation is significant and positive from JJA to MAM in Year(−1), i.e., the SEOF2 lags behind ENSO by one year. This trend is consistent with the previous conclusions that the SEOF2 lags behind the SEOF1 by approximately one year and that the SEOF1 correlates simultaneously with ENSO. Therefore, the SEOF2 corresponds to the years immediately after ENSO events. The lagged correlation between the SEOF2 and the PDO index are not statistically significant at the 5% level, which indicates that PDO has no significant effect on the variability of precipitation during post-ENSO years. 3.4. Seasonally Evolving Patterns of Ocean Dynamic Anomalies Associated with SEOF Modes of Precipitation The seasonally evolving patterns of ocean dynamic factors (SST, SLA and SSW) in the Pacific associated with the first two SEOF modes of precipitation are shown in Figures 6–8. The anomalies of these factors were regressed upon the SEOF-PC time series. To include the lagged correlations between SEOF modes and ENSO, we exhibit the simultaneous ocean dynamic patterns associated with SEOF1 in Figure 6, the one-year-leading ocean dynamic patterns associated with SEOF2 in Figure 7, and the simultaneous ocean dynamic patterns associated with SEOF2 in Figure 8. 3.4.1. SEOF1 The seasonally evolving patterns of SST anomalies from boreal summer, i.e., JJA(0), to the following spring, i.e., MAM(1), are shown in Figure 6a. These anomalies demonstrate the development of the El Niño event, most likely El Niño Modoki, with strong anomalous warming starting in the central tropical Pacific [26]. Specifically, this figure shows the seasonal evolution of El Niño Modoki as it initiates during JJA(0), develops during SON(0), peaks in D(0)JF(1) and decays in MAM(1). In the boreal summer, i.e., JJA(0), the positive SST anomaly pattern is centered mainly on the central equatorial Pacific and the western American coast, while the negative SST anomaly is less apparent and only appears east of Japan and in the midlatitude South Pacific. In boreal autumn, i.e., SON(0), El Niño develops with positive SST anomalies extending eastward along the equator toward the South American coast and negative anomalies expanding to the Kuroshio extension, the Maritime Continent, and southeastward in a band to the subtropical South Pacific. In the boreal winter, i.e., D(0)JF(1), El Niño reaches its mature phase, which is characterized by the most significant expansion of positive SST anomalies in the central and eastern equatorial Pacific. Note that the SST pattern of the PDO warm phase is also depicted, i.e., the anomalously cold SSTs in the central North Pacific and anomalously warm SSTs along the west coast of the Americas [49]. During the spring of the following year, i.e., MAM(1), positive SST anomalies in the tropics start to decay, but the warm phase of PDO continues to dominate the North Pacific. The significant PDO pattern in the North Pacific could only be seen from SON(0) to MAM(1), which is consistent with the conclusion revealed by Figure 5a that the SEOF1 is significantly correlated with the PDO index only from SON(0) to JJA(1). In fact, PDO experiences its highest energetic fluctuation during boreal winter and spring [49,50]. Therefore, the first SEOF mode of precipitation was associated with the development of El Niño and the warm phase of PDO. Remote Sens. 2016, 8, 833 Remote Sens. 2016, 8, 833 10 of 18 10 of 18 (a) JJA(0) (b) JJA(0) 40o N 40oN 20o N 20o N 20oN 0o 0o 0o 20oS 20o S 20o S 40oS 40o S 120o E 160o E 160oW 120oW 80o W 40o S 120oE SON(0) 160oE 160o W 120o W 80o W 120o E SON(0) 40o N 40o N 40oN 20o N 20oN 0o 0o 0o 20oS 20o S 20o S 40o S 120o E 160o E 160oW 120oW 80o W 160oE 160o W 120o W 80o W 120o E D(0)JF(1) 40o N 40o N 40oN 20o N 20oN 0o 0o 0o 20oS 20o S 20o S 40o S 120o E 160o E 160oW 120oW 80o W 160oE 160o W 120o W 80o W 120o E MAM(1) 40o N 40o N 20o N 20o N 20o N 0o 0o 0o 20oS 20o S 20o S 40o S 120o E -1.5 -1 160o E -0.5 160oW 0 120oW 0.5 1 80o W (℃) 1.5 160o E 160o W 120o W 80o W 160o W 120o W 80o W 160o W 120o W 80oW 160o E MAM(1) 40o N 40oS 80o W 40o S 120oE MAM(1) 120o W D(0)JF(1) 20o N 40oS 160o W 40o S 120oE D(0)JF(1) 160o E SON(0) 20o N 40oS (c) JJA(0) 40o N 40o S 120oE -0.2 160oE -0.1 160o W 0 120o W 0.1 80o W 0.2 (m) 120oE -1 160o E -0.5 0 0.5 (m/s) 1 Figure 6. Seasonally Seasonally evolving evolving patterns patterns of of (a) (a) SST; SST; (b) sea level; and (c) SSW anomalies from JJA(0) to MAM(1) regressed with the PC of the first SEOF mode of of precipitation. precipitation. The The simultaneous simultaneous seasonally seasonally evolving evolving patterns patterns of of SLA SLA regressed regressed with with the the SEOF-PC1 SEOF-PC1 are are shown shown in Figure 6b. This figure exhibits the typical SLA structure of El Niño, i.e., the sea level was in Figure 6b. This figure exhibits the typical SLA structure of El Niño, i.e., the sea level was lower lower than average in the western tropical Pacific basin and higher than average in the central and eastern than average in the western tropical Pacific basin and higher than average in the central and eastern tropical Pacific basin basin[51,52]. [51,52].More Morespecifically, specifically, negative SLA expands eastward toward tropical Pacific thethe negative SLA expands eastward toward 160◦160°E, E, and and the center of the positive anomaly also moves eastward from the boreal summer to winter. the center of the positive anomaly also moves eastward from the boreal summer to winter. During the During the decaying ofthe El Niño in thespring, following sea level startsto toits recover toconditions, its normal decaying phase of El phase Niño in following sea spring, level starts to recover normal conditions, as shown by declines in the sizes and magnitudes of both the positive and negative SLA as shown by declines in the sizes and magnitudes of both the positive and negative SLA regions. regions. SLAresembles pattern resembles the composite SLAcentral for thePacific centralElPacific i.e., Modoki, El Niño This SLAThis pattern the composite SLA for the Niño, El i.e.,Niño, El Niño Modoki, described by Chang et al. [53] (see their Figures 5b and 7), from which we can further described by Chang et al. [53] (see their Figures 5b and 7), from which we can further infer thatinfer the that first SEOF of precipitation is more likely associated with Modoki El Niño rather Modoki rather first the SEOF mode ofmode precipitation is more likely associated with El Niño than withthan the with the traditional El Niño. traditional El Niño. Figure 6c depicts depicts the the seasonally seasonallyevolving evolvingpatterns patternsofofwind windanomalies anomaliesfrom from the boreal summer Figure 6c the boreal summer to to the following spring in relation to the precipitation SEOF1. In general, this figure reveals the ENSO the following spring in relation to the precipitation SEOF1. In general, this figure reveals the ENSO patterns circulation cells cells over over the the tropical tropical Pacific Pacific and and wind wind variability patterns related related to to the the Walker Walker circulation variability over over the the midlatitudes [54,55]. During the boreal summer, i.e., JJA(0), westerly winds strengthen in the midlatitudes [54,55]. During the boreal summer, i.e., JJA(0), westerly winds strengthen in the western western basin South China China Sea Sea and and the the Maritime Maritime Continent, Continent, while wind basin of of the the warm warm pool, pool, mainly mainly over over the the South while wind speeds weaken and reverse direction within 160°E–160°W along the equator. From JJA(0) to D(0)JF(1), ◦ ◦ speeds weaken and reverse direction within 160 E–160 W along the equator. From JJA(0) to D(0)JF(1), the in the the central central and and eastern eastern equatorial equatorial the ongoing ongoing wind wind anomalies anomalies help help to to reinforce reinforce the the warm warm SSTs SSTs in Pacific lead to to the the maturation maturation of of El El Niño. Niño. Overall, Pacific and and therefore therefore lead Overall, the the weakened weakened trade trade winds winds in in the the central tropical Pacific coincide with the increasing precipitation. The negative wind anomaly central tropical Pacific coincide with the increasing precipitation. The negative wind anomaly that that extends to the the North extends northeastward northeastward and and southeastward southeastward to North and and South South American American coasts coasts is is also also consistent consistent with positive precipitation precipitation anomaly anomaly in the ITCZ ITCZ and SPCZ shown shown in Figure 4a. 4a. Note with the the positive in the and SPCZ in Figure Note that that aa band band of Pacific along thethe equator. This band appears during the of strong strong easterly easterlywinds windsoccurs occursininthe theeastern eastern Pacific along equator. This band appears during boreal summer, develops during autumn and extends to the to Peruvian coast during the boreal the boreal summer, develops during autumn and extends the Peruvian coast during thewinter. boreal However, these strong winds vanish during the decaying period of El Niño in the following spring winter. However, these strong winds vanish during the decaying period of El Niño in the following when a negative precipitation anomaly emerges in the band region. In the boreal autumn and winter, the subtropical anticylone develops and dominates the northwestern Pacific. During winter, a Remote Sens. 2016, 8, 833 11 of 18 spring when a negative precipitation anomaly emerges in the band region. In the boreal autumn and Remote Sens. 2016, 8, 833 11 of 18 winter, the subtropical anticylone develops and dominates the northwestern Pacific. During winter, a southwesterly wind anomaly over the East China Sea and the South China Sea weakens the prevailing southwesterly wind anomaly over the East China Sea and the South China Sea weakens the winds, which is associated with an increase in precipitation over the coastal waters of southeastern prevailing winds, which is associated with an increase in precipitation over the coastal waters of China. An anomalous cyclone occupies the midlatitude North Pacific during the boreal winter and southeastern China. An anomalous cyclone occupies the midlatitude North Pacific during the boreal following spring whenspring the precipitation is below average. The reverse of theseofanomalies appears winter and following when the precipitation is below average. The reverse these anomalies during La Niña events. appears during La Niña events. 3.4.2. SEOF2 3.4.2. SEOF2 The seasonally variablesassociated associatedwith withthe the second SEOF mode The seasonallyevolving evolving oceanic oceanic dynamic dynamic variables second SEOF mode areare shown in Figures 7 and 8. Figure 7 shows the one-year-ahead evolution patterns of SST, sea level shown in Figures 7 and 8. Figure 7 shows the one-year-ahead evolution patterns of SST, sea level and and SSW anomalies, which significantly correlated with ENSO. Theone-year-leading one-year-leading seasonally SSW anomalies, which areare significantly correlated with ENSO. The seasonally evolving SST from JJA JJAin inYear Year(−1) (−1) MAM Year(0) shown evolving SSTanomalies anomaliesassociated associatedwith with the the SEOF2 from toto MAM in in Year(0) areare shown in in Figure 7a. This SST anomaly pattern represents the development of a conventional El Niño event, Figure 7a. This SST anomaly pattern represents the development of a conventional El Niño event, i.e., the eastern warmerin inthe theeastern easternequatorial equatorial Pacific during i.e., the easternPacific Pacific(EP) (EP)El ElNiño. Niño. SSTs SSTs become become warmer Pacific during thethe boreal summer,continue continuetotodevelop develop in in the the eastern eastern and inin thethe boreal autumn boreal summer, and central centralequatorial equatorialPacific Pacific boreal autumn until ENSOreaches reachesthe themature mature phase phase in the boreal normal in in thethe boreal until ENSO boreal winter, winter,and andfinally finallyreturn returntoto normal boreal spring. Because the SEOF2 corresponds to the post-ENSO years in Figure 5b, we further infer that the spring. Because the SEOF2 corresponds to the post-ENSO years in Figure 5b, we further infer that SEOF mode of precipitation is associated with post-EP El Niño a warm aPDO thesecond second SEOF mode of precipitation is associated with post-EP Elyears. Niño Moreover, years. Moreover, warm pattern withwith cold cold SSTs SSTs in theinNorth PacificPacific and warm along western AmericanAmerican coast is shown PDO pattern the North and SSTs warm SSTsthe along the western coast is in Figure 7a from SON(−1) and MAM(0). Therefore, although the lagged correlation between the shown in Figure 7a from SON(−1) and MAM(0). Therefore, although the lagged correlation between SEOF2-PC and the PDO index is not statistically significant in Figure 5b, PDO may be an important the SEOF2-PC and the PDO index is not statistically significant in Figure 5b, PDO may be an important factor, nonetheless, and may dominate ocean precipitation in the year after an ENSO event. factor, nonetheless, and may dominate ocean precipitation in the year after an ENSO event. 40o N 40o N 40o N 20o N 20o N 20o N 0o 0o 0o 20o S 20o S 20o S 40o S 40o S 120o E 160o E 160o W 120o W 80o W 40o S 120o E 160o E 160o W 120o W 80o W 40o N 40o N 40o N 20o N 20o N 20o N 0o 0o 0o 20o S 20o S 20o S 40o S 40o S 120o E 160o E 160o W 120o W 80o W 160o E 160o W 120o W 80o W 40o N 40o N 20o N 20o N 20o N 0o 0o 0o 20o S 20o S 20o S 40o S 120o E 160o E 160o W 120o W 80o W 160o E 160o W 120o W 80o W 40o N 40o N 20o N 20o N 20o N 0o 0o 0o 20o S 20o S 20o S 40o S 120o E -1.5 -1 160o E -0.5 160o W 0 120o W 0.5 1 160o W 120o W 80o W 120o E 160o E 160o W 120o W 80o W 120o E 160o E 160o W 120o W 80o W 120o E 160o E 160o W 120o W 80o W 40o S 120o E 40o N 40o S 160o E 40o S 120o E 40o N 40o S 120o E 40o S 80o W 120o E 160o E 1.5 -0.2 -0.1 160o W 0 120o W 0.1 80o W 0.2 -1 -0.5 0 0.5 1 Figure of (a) (a) SST; SST; (b) (b) sea sealevel; level;and and(c)(c)SSW SSWanomalies anomalies from Figure7. 7.Seasonally Seasonally evolving evolving patterns patterns of from oneone year prior totoprecipitation, −1) to to MAM(0), MAM(0),regressed regressedwith withthe thePC PCofof the second SEOF mode year prior precipitation,i.e., i.e.,JJA( JJA(−1) the second SEOF mode of of precipitation. precipitation. RemoteSens. Sens.2016, 2016,8,8,833 833 Remote 12of of18 18 12 40o N 40o N 40o N 20o N 20o N 20o N 0o 0o 0o 20o S 20o S 20o S 40o S 40o S 120o E 160o E 160o W 120o W 80o W 40o S 120o E 160o E 160o W 120o W 80o W 40o N 40o N 40o N 20o N 20o N 20o N 0o 0o 0o 20o S 20o S 20o S 40o S 40o S 120o E 160o E 160o W 120o W 80o W 160o E 160o W 120o W 80o W 40o N 40o N 20o N 20o N 20o N 0o 0o 0o 20o S 20o S 20o S 40o S 120o E 160o E 160o W 120o W 80o W 160o E 160o W 120o W 80o W 40o N 40o N 20o N 20o N 20o N 0o 0o 0o 20o S 20o S 20 S 40o S 40o S 120o E -1.5 -1 160o E -0.5 160o W 0 120o W 0.5 1 80o W 1.5 160o W 120o W 80o W 120o E 160o E 160o W 120o W 80o W 120o E 160o E 160o W 120o W 80o W 120o E 160o E 160o W 120o W 80o W 40o S 120o E 40o N o 160o E 40o S 120o E 40o N 40o S 120o E 40o S 120o E 160o E 160o W -0.2 -0.1 0 120o W 0.1 80o W 0.2 -1 -0.5 0 0.5 1 Figure Figure8. 8.Seasonally Seasonallyevolving evolvingpatterns patternsof of(a) (a)SST; SST;(b) (b)sea sealevel; level;and and(c) (c)SSW SSWanomalies anomaliesfrom fromJJA(0) JJA(0)to to MAM(1) MAM(1)regressed regressed with with the the PC PC of of the the second second SEOF SEOF mode mode of of precipitation. precipitation. Figure seasonally evolving pattern of SLA one year priorprior to theto second SEOF mode Figure7b 7bshows showsthe the seasonally evolving pattern of SLA one year the second SEOF of precipitation. This pattern depicts similar SLA structure to that shown in Figure 6b but mode of precipitation. This pattern depicts similar SLA structure to that shown in Figure 6b butwith with anomalously anomalouslyhigh high SLAs SLAs in in the the eastern eastern equatorial equatorial Pacific. Pacific. Figure Figure 7c 7c shows shows the the seasonally seasonally evolving evolving pattern patternof of wind wind anomalies anomaliesfrom fromsummer summerto tothe thefollowing followingspring springone oneyear yearprior priorto to the the second second SEOF SEOF mode. Similar to Figure 6c, Figure 7c exhibits a westerly wind anomaly in the western tropical Pacific mode. Similar to Figure 6c, Figure 7c exhibits a westerly wind anomaly in the western tropical Pacific and central equatorial Pacific. In the midlatitude North Pacific, the andanomalously anomalouslyweak weakwinds windsininthe the central equatorial Pacific. In the midlatitude North Pacific, westerly winds also strengthen from the boreal autumn to winter. The main difference is that the the westerly winds also strengthen from the boreal autumn to winter. The main difference is that negative windwind speed anomalies associated with thethe SEOF2 areare focused the negative speed anomalies associated with SEOF2 focusednot notonly onlyon onthe the central central equatorial Pacific, but extend east during JJA(−1) and SON(−1). Furthermore, the cyclone equatorial Pacific, but extend east during JJA(−1) and SON(−1). Furthermore, the cyclone vanishes vanishes during the decaying decayingphase phaseofof El Niño in MAM(0) in Figure but is maintained during the during the EPEP El Niño in MAM(0) in Figure 7c, but7c, is maintained during the decaying decaying phase of CPinElMAM(0) Niño in MAM(0) 6c.both Overall, both Figure 7b and Figure 7c confirm phase of CP El Niño in Figure in 6c.Figure Overall, Figure 7b,c confirm the interpretation that the interpretation that the second SEOF mode of precipitation is associated with the after EP El the second SEOF mode of precipitation is associated with the years after EP El Niñoyears events. Niño Figure events.8a shows the seasonally evolving SST anomalies simultaneously associated with the second Figure the seasonally SST associated with the SEOF mode8a of shows precipitation, i.e., fromevolving JJA in Year (0)anomalies to MAM insimultaneously Year(1). In general, the SSTs recover second SEOF mode of precipitation, i.e., from JJA in Year (0) to MAM in Year(1). In general, the SSTs to the normal conditions. North of New Guinea in the western Pacific, precipitation decreases and the recover the normal conditions. in North of after NewEP Guinea in the precipitation decreases easterlyto trade winds strengthens JJA(0) El Niño, butwestern the SSTPacific, does not decrease significantly and the easterly trade winds strengthens in JJA(0) after EP El Niño, but the SST does not decrease during JJA(0). This finding indicates that precipitation and wind respond to ENSO more quickly than significantly during JJA(0). This finding indicates that precipitation and wind respond to ENSO more does SST and that decreasing precipitation is more closely related to strengthening wind than to SST quickly does SST and decreasing is moreprecipitation closely related to strengthening wind cooling.than However, over thethat central tropicalprecipitation Pacific, the positive anomalies in zonal bands than to SST cooling. However, over the central tropical Pacific, the positive precipitation anomalies in along the equator are more strongly correlated with warmer SSTs. Overall, the seasonal evolution zonal bands along more strongly correlated warmer Overall, the seasonal of precipitation inthe theequator tropics are is positively correlated with with SST after EP SSTs. El Niño. Furthermore, the evolution of precipitation in the tropics is positively correlated with SST after EP El Niño. Furthermore, subtropical anticyclone that occupies the northwestern Pacific is associated with higher precipitation the subtropical anticyclone thatafter occupies theNiño northwestern Pacific is associated with in this region during the summer an EP El event. The Northeasterly trade winds arehigher strong precipitation in this region during the summer after an EP El Niño event. The Northeasterly trade winds ◦ ◦ within 0–20 N and 140–170 E in the boreal summer but decay in autumn and reach their minimum are strong within 0–20°N and 140–170°E in the boreal summer but decay in autumn and reach their minimum strength in the winter. In the South Pacific around 10–30°S, the Southeasterly trade winds Remote Sens. 2016, 8, 833 13 of 18 Remote Sens. 2016, 8, 833 13 of 18 ◦ the Southeasterly trade winds are strong strength in in theboth winter. the South Pacific are strong the In boreal summer and around winter. 10–30 In the S, eastern equatorial Pacific, wind speeds are in bothinthe and winter. the eastern Pacific, wind speeds weak in the weak theboreal borealsummer spring and start to In recover in theequatorial boreal winter. Altogether, theseare simultaneous, boreal spring and start to recover in dynamic the boreal winter.represent Altogether, simultaneous, seasonally seasonally evolving patterns of ocean variables the these ocean-surface conditions after El evolving patterns of ocean dynamic variables represent the ocean-surface conditions after El Niño Niño events, and contribute to the evolution of precipitation patterns. events, and contribute to the evolution of precipitation patterns. 4. Discussion 4. Discussion 4.1. Which Type of El Niño Dominates the Seasonal Evolution of Precipitation? 4.1. Which Type of El Niño Dominates the Seasonal Evolution of Precipitation? Our results have demonstrated that the first two SEOF modes of precipitation were associated Our results have demonstrated that the first two SEOF modes of precipitation were associated with El Niño development and post-El Niño years, respectively. However, types of El Niño could not with El Niño development and post-El Niño years, respectively. However, types of El Niño could not be separated confidently based only on the regressed spatial patterns of SST, SLA and SSW shown in be separated confidently based only on the regressed spatial patterns of SST, SLA and SSW shown Figures 6 and 7. To identify which type of ENSO event most affects the dominant SEOF modes of in Figures 6 and 7. To identify which type of ENSO event most affects the dominant SEOF modes of precipitation, the lagged correlations between the first two SEOF modes with the El Niño Modoki precipitation, the lagged correlations between the first two SEOF modes with the El Niño Modoki index (EMI) and Niño3 index for each season were calculated, and the results are shown in Figure 9. index (EMI) and Niño3 index for each season were calculated, and the results are shown in Figure 9. (a) corr (SEOF1, EMI & Nino3) 0.8 0.6 0.4 0.2 0 -0.2 -0.4 -0.6 -0.8 JJA Y(-1) SON DJF Y(0) MAM JJA SON DJF Y(1) MAM JJA SON JJA SON DJF MAM (b) corr (SEOF2, EMI & Nino3) 0.8 0.6 0.4 0.2 0 -0.2 -0.4 -0.6 -0.8 JJA Y(-1) SON DJF Y(0) MAM JJA SON DJF Y(1) MAM DJF MAM Figure 9. (a) Lagged correlations of the first SEOF PC with the EMI (red line) and Niño3 index Figure 9. (a) Lagged correlations of the first SEOF PC with the EMI (red line) and Niño3 index (blue (blue line); (b) lagged correlations between the second SEOF PC and the EMI (red line) and Niño3 line); (b) lagged correlations between the second SEOF PC and the EMI (red line) and Niño3 index index (blue line). Year(−1) (Year(1)) denotes that the PC lags behind (leads) its counterpart by one year; (blue line). Year(−1) (Year(1)) denotes that the PC lags behind (leads) its counterpart by one year; Year(0) denotes simultaneous correlation. JJA is boreal summer, SON is boreal autumn, DJF is boreal Year(0) denotes simultaneous correlation. JJA is boreal summer, SON is boreal autumn, DJF is boreal winter, and MAM is boreal spring. winter, and MAM is boreal spring. Figure shows that that the thefirst firstSEOF SEOFmode modehas hassignificant significant correlation with both Figure 9a shows correlation with both thethe EMIEMI andand the the Niño3 index for Year(0). The simultaneous correlation coefficients between the SEOF1 and EMI Niño3 index for Year(0). The simultaneous correlation coefficients between the SEOF1 and EMI were were in JJA, SON, DJF and MAM,respectively, respectively,which whichare are higher higher than those 0.77, 0.77, 0.90, 0.90, 0.97 0.97 and and 0.910.91 in JJA, SON, DJF and MAM, those between the SEOF1 and Niño3 index (Table 2). Therefore, the first SEOF mode of precipitation between the SEOF1 and Niño3 index (Table 2). SEOF mode of precipitation is is associated with the thecombination combinationofofEP EPElEl Niño and El Niño events, likely coincided associated with Niño and CPCP El Niño events, but but moremore likely coincided with with theEl CPNiño. El Niño. inference is further supported theSST SSTpattern patternshown shownin in Figure Figure 6a with the CP ThisThis inference is further supported byby the with anomalously warm SSTs mainly in the central equatorial Pacific, and by the similarity between anomalously SSTs mainly in the central equatorial Pacific, and by the similarity between the the spatial spatial pattern pattern of of precipitation precipitation in in the the boreal boreal winter winter for for SEOF1 SEOF1 shown shown in in Figure Figure 4a 4a and and the the correlation correlation map map of of precipitation precipitation with with the the EMI EMI shown shown in inFigure Figure11a 11aof ofAshok Ashoket etal. al.[26]. [26]. Both Figures 2a and 4a reveal the striking ITCZ and SPCZ bands Both Figures 2a and 4a reveal the striking ITCZ and SPCZ bands with with positive positive precipitation precipitation anomalies anomalies that extend eastward and southeastward from the Solomon Islands, as well as the dry conditions Although different different from Figure 2a, Figure 4a shows conditions over over the the Maritime Maritime Continent. Continent. Although shows the the seasonal evolution of precipitation associated with the development of El Niño. The responses of precipitation patterns to the development of El Niño from the boreal summer to winter include the Remote Sens. 2016, 8, 833 14 of 18 seasonal evolution of precipitation associated with the development of El Niño. The responses of precipitation patterns to the development of El Niño from the boreal summer to winter include the following: the ITCZ becomes progressively wetter and moves southward toward the equator, the SPCZ also receives more precipitation and shifts northeastward, and the location of maximum precipitation along the equator moves east. The opposite patterns of variation in precipitation occur during La Niña, as described by Chung and Power [21]. Overall, precipitation in the western basin of the warm pool experiences dry conditions with the development of either EP or CP El Niño events, and both the SPCZ and IPCZ move toward the equator during El Niño years. During La Niña events, these trends are reversed. For the SEOF2 of precipitation, the lagged correlation coefficients between the SEOF2 and Niño3 index were significant in Year(−1), whereas the correlation between the SEOF2 and EMI did not reach the 5% significance level. These findings strongly indicate that the second SEOF mode of precipitation was associated with the decaying year of EP-type ENSO events. Therefore, we may conclude that Figure 4a,b demonstrate the consecutive seasonal evolution pattern of precipitation anomalies over the entire development of EP El Niño events, as well as the subsequent recovery and return of normal conditions after EP El Niño. Table 2. Significant lagged correlation coefficients of the PCs of the SEOF modes and the El Niño Modoki Index (EMI) and Niño3 index. Correlations Season EMI Niño3 Index corr(SEOF1, EMI, & Niño3) SEOF1-JJA SEOF1-SON SEOF1-DJF SEOF1-MAM 0.77 0.90 0.97 0.91 0.69 0.86 0.88 0.52 corr(SEOF2, EMI, & Niño3) SEOF2-JJA SEOF2-SON SEOF2-DJF SEOF2-MAM * * * * 0.57 0.59 0.57 0.57 * Correlation that did not reach the 5% significance level. 4.2. Impact of PDO on the ENSO-Induced Precipitation Seasonal Evolution As an interdecadal climate oscillation, the impact of PDO on the variation of precipitation is accompanied by ENSO. As was indicated by the lagged correlation shown in Figure 5, significant correlation between the PDO and precipitation SEOFs exists only when the MEI correlates significantly with the SEOFs. Moreover, these indices were in the same phase in influencing precipitation. Therefore, PDO may impact precipitation over the Pacific primarily by strengthening and prolonging the effects of ENSO. In addition, Figure 5a shows that PDO still correlated significantly with the precipitation SEOF1 mode in the El Niño decaying summer, which is consistent with the SST anomaly pattern of the PDO warm phase in JJA(0) shown in Figure 8a. This correlation indicates that the precipitation pattern in JJA(0) of Figure 4b is also influenced by PDO, i.e., precipitation is still dominated by SST anomalies in the North Pacific during the decaying summer of EP El Niño. 5. Conclusions Compared with previous studies, we provide a more integrated perspective on the seasonal and interannual variability of precipitation over the Pacific Ocean as well as the seasonal evolution of precipitation associated with the ENSO during the period of 1998–2014. In addition, lagged correlation analysis is applied to derive the lead–lag correlations between the first two SEOF modes for precipitation and climate-related air–sea phenomena, i.e., ENSO and PDO, and further to reveal the large-scale oceanic patterns associated with the distributions of high and low precipitation over Remote Sens. 2016, 8, 833 15 of 18 the Pacific Ocean. These findings may be useful for seasonal precipitation anomaly predictions for the Pacific Ocean during El Niño years and the following recovery years. Using EOF analysis, we have examined the spatiotemporal variability of precipitation, at seasonal and interannual timescales separately, to provide an overview of precipitation variability. The combination of the first two seasonal EOF modes represents the consecutive annual cycle of precipitation variations of the Pacific Ocean. Specifically, a double ITCZ exists in boreal spring, with one north and the other south of the equator; during boreal summer, the northern zone moves northward to 10◦ N, and the southern one vanishes. The SPCZ is drier than average during the austral autumn and winter, but wetter during the austral spring and summer. In terms of the interannual variability of precipitation, the first EOF mode for 13-month running mean precipitation datasets represents the spatiotemporal variation associated with ENSO. During El Niño, global conditions are characterized by significantly positive wedge-shaped anomalies in the central Pacific along the equator toward the ITCZ and the northern part of the SPCZ, as well as negative anomalies over the South China Sea, the Maritime Continent, and the southern part of the SPCZ. The reverse patterns exist during La Niña. Using SEOF and lagged correlation analyses, we have revealed two dominant seasonally evolving modes of precipitation anomalies and their relationships with ENSO and PDO. The principal component of the first SEOF mode reflects El Niño and La Niña events, with the positive (negative) values corresponding to El Niño (La Niña) years. The lagged correlation between the SEOF PCs and MEI indicates that the first SEOF mode is simultaneously associated with ENSO developing episodes, while SEOF2 lagged behind ENSO by one year and is associated with post-ENSO years. In addition, PDO modulates the precipitation variability significantly only when ENSO occurs. More specifically, PDO could impact the precipitation over the Pacific primarily by strengthening and prolonging the impact of ENSO on the precipitation during the ENSO decaying summer. By using lagged correlation analysis on the first two SEOF modes with the El Niño Modoki index and Nino3 index, respectively, we further distinguish different associations of two types of El Niño (i.e. EP El Niño and CP El Niño) with the two dominant SEOF modes. It is revealed that the first SEOF mode of precipitation is associated with both EP and CP El Niño years, but more likely coincides with the CP type, while the second SEOF mode is associated with the years after EP El Niño occurs. In fact, the spatial seasonally evolving pattern of the first two SEOF modes (Figure 4) describes the consecutive seasonal evolution pattern of precipitation anomaly associated with the entire developing episodes of EP El Niño as well as the recovering to normal episodes afterwards. The significant variation pattern mainly exists on the tropical Pacific, especially ITCZ and SPCZ regions. Regressed anomalies of ocean dynamic variables (SST, SLA, and WIND) associated with the first two SEOF modes depict the synchronously spatial variation of ocean and climate dynamics. During the developing episodes of either EP or CP El Niño, the western basin of warm pool experiences dry conditions while both SPCZ and IPCZ become progressively wetter and move toward the equator. This precipitation pattern during the mature phase of El Niño is associated with warm SSTs in the central tropical Pacific and a subtropical anticyclone dominating conditions over the northwestern Pacific. In this study, the asymmetric responses of precipitation to El Niño and La Niña SST anomalies are not distinguished. Therefore, the direction for future work is to investigate the spatiotemporal variations in precipitation during the warm and cold phase of ENSO as well as the underlying oceanic and atmospheric mechanisms. Acknowledgments: This work was supported by the National Natural Science Foundation of China under Grants No. 91437214 and No. 71461010701. Author Contributions: Xueyan Hou carried out the research and prepared the manuscript under the guidance of Di Long and Yang Hong. Hongjie Xie contributed to the preparation of the paper through review, editing, and comments. All authors made substantial intellectual contributions to the paper and the findings reported herein. Conflicts of Interest: The authors declare no conflict of interest. Remote Sens. 2016, 8, 833 16 of 18 References 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. 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