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Received: 23 August 2021 Revised: 23 March 2022 Accepted: 29 April 2022 DOI: 10.1002/joc.7684 RESEARCH ARTICLE Assessing the changes of precipitation extremes in Peninsular Malaysia Cia Yik Ng1 Sai Hin Lai | Wan Zurina Wan Jaafar1 1 | Yiwen Mei2 | Faridah Othman1 | 3 | Juneng Liew 1 Department of Civil Engineering, Faculty of Engineering, University of Malaya, Kuala Lumpur, Malaysia 2 School for Environment and Sustainability, University of Michigan, Ann Arbor, Michigan, USA 3 Center for Earth Sciences and Environment, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Bangi, Malaysia Correspondence Wan Zurina Wan Jaafar, Department of Civil Engineering, Faculty of Engineering, University of Malaya, 50603 Kuala Lumpur, Malaysia. Email: wzurina@um.edu.my Funding information Ministry of Higher Education Malaysia, Grant/Award Number: FRGS/1/2018/ TK01/UM/02/3 Abstract The rise of global surface temperature due to warming climate is expected to increase the intensity and occurrence of extreme precipitation events. Previous studies in Southeast Asia revealed complex variations in changes of precipitation extremes. This study presents a spatial–temporal analysis on changes of precipitation extremes in Peninsular Malaysia by utilizing long-term daily rainfall records at 64 observed stations during 1989–2018. The modified Mann–Kendall and Sen's slope tests were performed to detect the significance and magnitude of trends in eight extreme precipitation indices recommended by the Expert Team on Climate Change Detection and Indices. Statistically significant increasing trends are observed for four of these extreme indices in the annual assessment. Spatial analysis demonstrates an obvious contrast between wet and dry regions in patterns of precipitation extremes. Seasonal analysis reveals the intensity and frequency of wet extremes are enhanced significantly during the northeast monsoon season. Significant correlations are found between precipitation extremes and El Niño–Southern Oscillation, particularly in the northern, eastern and southwest regions. Collectively, the evidence presented suggests that the occurrence of precipitation extremes in Peninsular Malaysia tends to be more frequent and intense over the year and is closely associated with the combined effects of tropical monsoon cycles and El Niño– Southern Oscillation. KEYWORDS climate variabilities, El Niño–Southern Oscillation, modified Mann–Kendall test, Monte Carlo technique, Peninsular Malaysia, precipitation extremes, trend analysis, tropical monsoon cycles 1 | INTRODUCTION Global warming can intensify the hydrological cycle and increase the intensity and occurrence of extreme precipitation events (Kundzewicz, 2008), leading to the emergence of more and more climate vulnerable areas. This poses severe environmental issues to developing Int J Climatol. 2022;1–24. countries in Southeast Asia, which are constantly under the impacts of climate change in the pursuit of sustainable development. The adverse impacts of hydrologic extremes (e.g., droughts, pluvials and floods) can severely affect human livelihood and economic development (Diffenbaugh et al., 2017). Therefore, understanding historical changes of precipitation extremes is wileyonlinelibrary.com/journal/joc © 2022 Royal Meteorological Society 1 NG ET AL. 2 crucial for the development of more comprehensive and long-term climate resilience solutions. Malaysia is a developing country located in Southeast Asia and the tropical climatic zone. The country receives more than 2,500 mm of rainfall annually, with most of the rainfall occurring during the November–March monsoon season. The tropical weather and abundant amount of rainfall play important roles in promoting the agricultural production and crop yields in this natural resources-rich country. Nevertheless, the vast amounts of annual rainfall that are beneficial to agriculture and hydropower generation can act adversely as catastrophic precipitation events that occur every year. Peninsular Malaysia suffered losses from numerous floods in the past decade, with the most significant occurring during 2014/2015 and 2017 (Baharuddin et al., 2015; Shamshuddin and Yusoff, 2016; Yahya et al., 2016; Davies, 2017a; 2017b; 2017c; New Straits Times, 2017a; 2017b). To examine the potential recurrence risks of extreme precipitation events, the changes of precipitation extremes over Peninsular Malaysia were explored in numerous studies. Zin et al. (2010) utilized rainfall records from 10 rain gauge stations to analyze the trends of extreme climate indices from 1971 to 2005; they found positive trends for the intensity indices but negative trends for the frequency indices. Suhaila et al. (2010) obtained similar trends for the southwest monsoon season, but they found increasing trends for both the frequency and intensity indices for the northeast monsoon season. Besides, Abdul Halim et al. (2014) and Wong et al. (2018) found significant positive trends during northeast monsoon, whereas Khan et al. (2019) claimed that most of the increasing/decreasing trends found in the previous studies are due to the effect of long-term persistence, which contradicts all the previous findings. Longterm persistence effect due to long duration of wet or dry periods can cause overestimation of the trend significance, leading to misinterpretation of the result. The inconsistent results in these previous studies highlight the needs to review the extreme patterns in the study area. Moreover, none of these studies explore the potential driving factors of the precipitation extremes in Peninsular Malaysia. Although the reasons behind those changes of precipitation extremes remain unclear, few studies in Southeast Asia have suggested strong links between the precipitation anomalies and large-scale climate variabilities. Villafuerte II et al. (2014) found a significant relationship between El Niño–Southern Oscillation (ENSO) and precipitation extremes over the Philippines, especially during the seasons close to the ENSO peaking phase. Furthermore, Villafuerte II et al. (2015) also suggested a potential intensification and increasing occurrence of precipitation extremes as the global mean temperature continues to rise. Li et al. (2018) observed similar strong correlations between precipitation extremes, ENSO and global mean temperature anomalies in Singapore, but the signals of local warming are more evident than global warming. In the eastern part of Indonesia, Lestari et al. (2016) reported that the interannual variabilities are strongly modulated by ENSO events and the number of consecutive dry days tends to increase by more than 2 months during the El Niño phase compared to La Niña. In addition, Supari et al. (2018) attributed the variations of wet and dry anomalies in Indonesia to the equatorial convergence of two anticyclonic (cyclonic) circulations in response to the anomalous atmosphere–ocean patterns during El Niño (La Niña) event. Despite the availability of numerous papers exploring the potential climate drivers associated with the precipitation extremes in the Southeast Asia region, there are limited studies in Peninsular Malaysia that examine the seasonal and interannual variabilities of precipitation extremes in relation to the influences of global warming, tropical monsoon cycles and ENSO. As the knowledge gaps remain large, this study aims to (a) characterize annual and seasonal changes in precipitation extremes for Peninsular Malaysia during 1989– 2018, (b) examine the associations between precipitation extremes, global warming and ENSO events, (c) investigate the anomalous patterns of regional atmosphere–ocean circulations in response to ENSO. A set of eight extreme precipitation indices recommended by the Expert Team on Climate Change Detection and Indices (ETCCDI) is used in the investigation. Furthermore, rainfall datasets from 64 non-World Meteorological Organization (WMO) rain gauge stations are utilized in this study. The findings of this study provide insights on spatiotemporal variations of precipitation extremes and how monsoon cycles, ENSO and regional atmosphere–ocean interactions modulate precipitation extremes in Peninsular Malaysia. The manuscript is organized as follows: section 2 describes the rainfall data, extreme precipitation indices and evaluation approach used for the trend analysis. Results are discussed in section 3 while conclusions are written in section 4. 2 | DATA AND M ETHODS 2.1 | Study area Peninsular Malaysia, also known as West Malaysia (Figure 1), is a region consisting of 11 states, including Perlis, Kedah, Pulau Pinang, Perak, Selangor, Negeri Sembilan, Melaka, Johor, Kelantan, Terengganu and Pahang and two federal territories, namely Kuala Lumpur and Putrajaya. Peninsular Malaysia is divided from East Malaysia by the South China Sea. Peninsular NG ET AL. 3 F I G U R E 1 Spatial distribution of rain gauge stations over Peninsular Malaysia. The thick lines represent the boundaries of climatic regions. State abbreviations: PLS, Perlis; PP, Pulau Pinang; KDH, Kedah; PRK, Perak; KLT, Kelantan; TRG, Terengganu; PHG, Pahang; SGR, Selangor; KL, Kuala Lumpur; NS, Negeri Sembilan; MLK, Melaka; JHR, Johor Malaysia has a land area of approximately 132,090 km2, ranging from 99.5 E to 104.5 E longitude and from 1 N to 7 N latitude. The climate type of the country is tropical rainforest, receiving on average over 2,500 mm rainfall annually. The rainfall distribution is greatly influenced by four seasons, namely the northeast monsoon (NEM) season, the southwest monsoon (SWM) season and two inter-monsoon (IM) seasons in between (Zin et al., 2010). The NEM season is the wettest season of the year, which begins from November to March. It often brings torrential rain to Peninsular Malaysia, causing frequent flood events, especially in the east coast region. The SWM season is the driest season for the whole Peninsular Malaysia, with relatively small amounts of rainfall from May to September. The IM seasons occur in April and October, bringing intense but short-duration convective rain to the whole region. 2.2 | Data processing In this study, hourly rainfall records were obtained from the Malaysia Department of Irrigation and Drainage (JPS) rain gauge network, which comprises 174 nonWMO stations for the region. The base period used for this study is from 1989 to 2018 (30-year period), which covers the greatest number of observed stations in the study area. Rain gauge stations with higher than 10% of missing data for the study period were disregarded. Missing values of the remaining stations were filled with the NG ET AL. 4 nearby good quality stations, prioritizing the stations with identical elevation. The hourly rainfall data was adjusted for time zones and accumulated to daily resolution. Then, the daily precipitation time series were examined for homogeneity to rule out the potential impacts from non-climatic shifts due to station relocation and instrument maintenance (Li et al., 2014; Mahmood and Jia, 2016). This was done by using the RHtests_dlyPrcp tool (http://etccdi. pacificclimate.org/software.shtml), which detects potential change points based on the penalized maximal t and F test (Wang et al., 2007; Wang, 2008). The detected change points were carefully examined with the metadata provided by JPS for validity (for example relocation of stations in the past). There are 64 out of 174 observed stations (see Table S1, Supporting Information) that pass the homogeneity test and with less than 10% missing data. Spatial distribution of the 64 rain gauge stations is shown in Figure 1. The 64 precipitation time series were determined for outliers (values exceeding either the 75th percentile plus five times the interquartile range of the series or 200 mmday−1). This was carried out using the ClimPACT2 software package (www.climpact-sci.org). All outliers and large precipitation values were marked as suspicious and they were either retained (if matched with historical precipitation events that are documented by JPS) or replaced as missing values. 2.3 | Extreme precipitation indices In this study, eight extreme precipitation indices were selected for the analysis (Table 1). Seven of these indices were chosen from the core indices list recommended by ETCCDI (http://etccdi.pacificclimate.org/) and the other TABLE 1 one is the ratio of extreme to total precipitation (R95pTOT) that is used to measure the contribution from the precipitation above the 95th percentile (Donat et al., 2013; Baek et al., 2017). These eight precipitation indices may be categorized into two types as the intensity indices (Rx5day, SDII, PRCPTOT, R95p and R95pTOT) and the frequency indices (R20mm, CWD and CDD). The calculations of the extreme precipitation indices were performed using ClimPACT2. All indices were calculated for every year on a seasonal basis. 2.4 | Climate data To explore the underlying climate drivers of precipitation extremes over Peninsular Malaysia, global surface temperature anomalies were used as an indicator for global warming. The global surface temperature anomalies data was obtained from National Aeronautics and Space Administration (NASA) Goddard Institute for Space Studies (GISS) Surface Temperature Analysis version 4 (GISTEMP v4) dataset (https://data.giss.nasa.gov/gistemp/). The Oceanic Niño Index was utilized to represent the state of ENSO, which is available from the National Oceanic and Atmospheric Administration of the United States (NOAA) Climate Prediction Center (CPC) (https://origin.cpc.ncep.noaa. gov/). The Oceanic Niño Index tracks the running 3-month mean sea surface temperature anomalies in the Niño3.4 region (120 –170 W longitude; 5 –5 S latitude) and is widely used as an indicator of ENSO conditions (Supari et al., 2018; Li et al., 2021; Tan et al., 2021). The onset of an ENSO episode is identified when the quarterly mean sea surface temperature departure from the 30-year base period exceeds 0.5 C in the Niño3.4 region. The ENSO years Definitions of selected extreme precipitation indices Index Name Definitions Units Rx5day Maximum 5-days precipitation Annual maximum of 5-days precipitation mm PRCPTOT Annual total wet-day precipitation Annual total precipitation from wet days mm SDII Simple daily intensity index Average precipitation amount on wet days mmday−1 R95p Total precipitation of very wet days Annual total precipitation when P > 95th percentile mm R95pTOT Contribution from very wet days (R95p/PRCPTOT) × 100% % R20mm Number of very heavy precipitation days Annual count of days when P ≥ 20 mm days CWD Consecutive wet days Maximum number of consecutive wet days days CDD Consecutive dry days Maximum number of consecutive dry days days Intensity indices Frequency indices Note: A wet/dry day is defined when P ≥/< 1 mm. Abbreviation: P, daily precipitation. NG ET AL. 5 identified within the study period are shown in Table S2. The life cycle of an ENSO event normally evolves from the developing phase in the summer season (June–July– August) of the preceding year, to the decaying phase in the spring season (March–April–May) of the concurrent year (Juneng and Tangang, 2005). Therefore, the Oceanic Niño Index values for June–July–August (JJA), September– October–November (SON), December–January–February (DJF) and March–April–May (MAM) were applied in this study to correspond to the evolution period of ENSO (Juneng and Tangang, 2005; Supari et al., 2018). To understand the regional atmosphere–ocean interaction during ENSO years, the sea surface temperature anomalies data available at 2.0 × 2.0 spatial resolution from NOAA Extended Reconstructed Sea Surface Temperature version 5 (ERSSTv5) gridded datasets were used in this study (https://psl.noaa.gov/data/gridded/data.noaa.ersst.v5. html). In addition, the regional moisture flux and vertically integrated moisture divergence were extracted from the 0.25 × 0.25 ERA5 monthly averaged reanalysis datasets by the European Centre for Medium-Range Weather Forecasts (ECMWF) (http://doi.org/10.24381/ cds.f17050d7). statistic S is then standardized (test statistic Z) to estimate its significance from the normal cumulative distribution function. The original variance, Var0(S) and test statistic Z are calculated as 2.5 | Trend detection and correlation analysis where m is the number of ranks of observations. If ri falls out of the confidence interval, Var0(S) is recalculated as Var1(S) by For trend analysis, the rank-based Mann–Kendall test was applied to detect the presence of statistically significant trends for the extreme precipitation indices. Mann– Kendall test is a nonparametric statistical test that does not require any prior distribution assumption for the data. The null hypothesis of Mann–Kendall test indicates that there is no trend over time in the series, whereas the alternative hypothesis indicates that the data is subjected to increasing or decreasing trend. This study used the modified Mann–Kendall test (MMK) to account for autocorrelations in the time series (Hamed and Ramachandra Rao, 1998). The Kendall statistic S, the test statistic of MMK, is calculated as S= X a , i<j ij ð1Þ where aij is defined as 8 > > 1 x i <x j   < aij =sgn x i −x j = 0 x i =x j : > > : −1 x i >x j ð2Þ Under the null hypothesis, the statistic S tends to normality with zero mean. Based on this assumption, the Var0 ðSÞ = nðn −1Þð2n +5Þ , 18 8 S+1 > > pffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi > > > < Var0 ðSÞ Z= 0 > > S−1 > > pffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi > : Var0 ðSÞ ð3Þ if S<0 if S=0 : ð4Þ if S>0 A positive (negative) Z value represents an increasing (decreasing) trend. If the jZj value is greater than 1.96, the trend is significant at 5% significance level (rejection of null hypothesis). To eliminate positive serial correlation in the data, the autocorrelation coefficient of the ranks of the data, ri, is tested against the null hypothesis at 95% confidence interval using a 2-tailed test, ri = Pm − j   ðx i −x Þ x i + j − x , Pm 2 i = 1 ðx i − x Þ i=1 Var1 ðSÞ =Var0 ðSÞ × n , ne ð5Þ ð6Þ where n/ne represents the correction to Var0(S) to take into account the autocorrelation in the data. The term n/ne is defined as n−1 X n 2 × =1 + ðn −iÞðn −i −1Þðn −i−2Þr i , ne nðn −1Þðn −2Þ i = 1 ð7Þ where n is the actual sample size and ne is the effective sample size to be considered for the autocorrelation factor in the data. To obtain time series that can represent the whole study area, the regional averages of each extreme index were calculated using the arithmetic average method with equal weight of all selected stations. To quantify the rate of change of the trend, the nonparametric Sen's slope (SS) estimator was used (Sen, 1968). The rate of change of the trend, Q is defined as Q =Median   X d −X c , d− c d>c, ð8Þ NG ET AL. 6 PRCPTOT Rx5day SDII R95p R95pTOT R20mm CDD CWD 0.685 0.763 0.901 0.762 0.961 −0.376 0.336 T A B L E 2 Correlation coefficients of extreme precipitation indices. Note: Bold values are significant at 0.01 level. FIGURE 2 Decadal patterns of annual rainfall during 1989–1998, 1999–2008 and 2009–2018 FIGURE 3 Time series for annual rainfall in each state of Peninsular Malaysia during 1989–2018 NG ET AL. 7 where Xd and Xc represent values of the indices at time d and c. Positive (negative) Qs indicate increasing (decreasing) trends of the time series. Both MMK and SS tests were performed using MATLAB (https://www. mathworks.com/matlabcentral/fileexchange/25533mann-kendall-modified-test). Monte Carlo technique was adopted to determine the statistical field significance of the extreme precipitation indices (Livezey and Chen, 1983). First, MMK tests were conducted for all observed stations and the total number of stations with significant trends (N) on each index was recorded. This step was then repeated for 1,000 times by randomly shuffling the time series of all stations; the N values were recorded for all the trials. In this study, the field significance analysis was performed at 95% confidence level. The index is considered to be field significant if the actual N value exceeds the N value corresponding to the 95th percentile over the 1,000 trials. In brief, the field significance test was used to check the hypothesis whether the computed trends of extreme precipitation indices are significant over the whole study area or not. To justify the indices selection in this study, the correlation analysis was applied to evaluate the correlations of PRCPTOT to the other indices at 0.01 significance level (de Lima et al., 2015; Wang et al., 2018). Table 2 shows that there are statistically significant strong correlations (>0.6) between the PRCPTOT and Rx5day, SDII, R95p, R95pTOT and R20mm. The result is in agreement with the findings from previous study in Peninsular Malaysia, which suggests that PRCPTOT is well-correlated (>0.5) with extreme precipitation indices, but has weak correlation with CDD and CWD (Tan et al., 2017). The teleconnections between extreme precipitation indices and climate variabilities were examined by using the Spearman's ρ correlation approach. The Spearman's ρ correlation test is a nonparametric test used to measure the strength of associations between the rank values of two variables, where the value +1 (−1) indicates a perfect T A B L E 3 Trends (Sen's slope estimate) in regional mean of all selected extreme precipitation indices for Peninsular Malaysia during 1989–2018 positive (negative) correlation. For the correlation between ENSO and extreme precipitation indices, annual Oceanic Niño Index was computed by averaging the values of JJA (0) and SON(0) seasons from the preceding year (usually referred as year “0”) and D(0)JF(1) and MAM(1) seasons from the concurrent year (usually referred as year “1”) to consider the ENSO capacitor effect and delayed response post peak of the ENSO cycles (Yang et al., 2007; Xie et al., 2009; 2016; Tan et al., 2021). Field significance of the correlation analysis between extreme precipitation indices and climate variabilities were determined by applying the same Monte Carlo technique. 3 | RESULTS A ND DISCUSSIONS To understand the rainfall variability of Peninsular Malaysia, decadal patterns of annual rainfall were analyzed (Figure 2) and the temporal trends were calculated for the states (Figure 3). Generally, an increasing amount of annual rainfall is observed for every state of Peninsular Malaysia, except Johor (Figure 3). From Figure 3, six states display high increasing rate (>100 mmdecade−1); they are Kuala Lumpur (175.734 mmdecade−1), Kelantan Negeri Sembilan (143.132 mmdecade−1), Pulau Pinang (178.912 (161.083 mmdecade−1), −1 −1 mmdecade ), Perak (101.485 mmdecade ) and Terengganu (184.431 mmdecade−1). Among the six states, the positive trends for Kuala Lumpur, Perak and Terengganu are statistically significant. This finding is linked to the intensification of annual rainfall, particularly in the east coast of Peninsular Malaysia as shown in Figure 2. The upward trends at the east coast are consistent with the findings reported by Tan et al. (2017), which was 106.10 mmdecade−1 in the Kelantan River Basin for 1985–2014. The northern states also show positive annual rainfall trends, ranging from 45.821 to 178.912 mmdecade−1 (Figure 3). Seasonal trends Climate indices −1 Annual trends NEM SWM IM Rx5day (mmdecade ) 11.39 17.25 −1.07 2.21 PRCPTOT (mmdecade−1) 96.90 78.45 15.83 3.91 SDII (mmday−1decade−1) 0.55 0.88 0.48 0.30 59.79 36.19 8.35 2.79 R95pTOT (%decade ) 1.24 −1.33 0.28 0.07 R20mm (daydecade−1) 1.42 0.97 0.32 0.21 CDD (daydecade−1) 0.35 −1.34 0.62 0.44 −1 −0.23 −0.27 −0.18 −0.01 −1 R95p (mmdecade ) −1 CWD (daydecade ) Note: Bold values are field significant trends at 95% level. NG ET AL. 8 F I G U R E 4 Spatial distribution of annual trends for the intensity indices over Peninsular Malaysia during 1989–2018. Filled (hollow) triangle represents stations with statistically significant (nonsignificant) trends 3.1 | What are the annual trends of precipitation extremes? 3.1.1 | Intensity indices Table 3 shows the trends of intensity indices in Peninsular Malaysia during 1989–2018. From Table 3, three of the intensity indices (PRCPTOT, SDII and R95p) show statistically significant increasing trends. More than half of the observed stations recorded positive trends for these indices, which indicates a strong signal of increasing intensity in precipitation extremes over Peninsular Malaysia. Figure 4 shows that the spatial distribution of stations with significant positive trends are concentrated at the eastern, northern and southwest regions of Peninsular Malaysia. These regions are mainly floodplain areas with low elevations (Figure 1), which are susceptible to the impacts of precipitation extremes. Main cities of these regions have experienced multiple record-setting extreme precipitation events in the past 10 years, with severe economic losses and casualties (Baharuddin et al., 2015; Lee and Tuan Resdi, 2016; Shamshuddin and Yusoff, 2016; Yahya et al., 2016; Malaysiakini, 2017; The Malaysian Reserve, 2017; Davies, 2017a; 2017b; 2017c; New Straits NG ET AL. 9 F I G U R E 5 Spatial distribution of annual trends for the frequency indices over Peninsular Malaysia during 1989–2018. Filled (hollow) triangle represents stations with statistically significant (nonsignificant) trends; hollow circle represents stations with stationary trends Times, 2017a; 2017b). On the contrary, stations displaying significant decreasing trends for PRCPTOT during the study period are located at the central region or with higher elevation (Figure 4b). For R95pTOT, the stations with significant increasing trends are primarily distributed along the eastern and southwest coastlines. This observation suggests that the extreme precipitation indices in these regions are changing more rapidly than annual rainfall. The increasing contribution to annual rainfall also indicates that the extreme precipitation events are getting more extreme over the year. could be due to the significant decline of vegetation cover in Kuala Lumpur (Boori et al., 2015; Hua and Ping, 2018), as Sy and Quesada (2020) suggest that land use change can affect rainfall formation by (a) decreasing the atmospheric water content (deforestation) and (b) increasing surface albedo, both of which cause latent heat flux changes at the deforested areas and thus reduce rainfall causing conditions. However, anthropogenic land use change impact on consecutive wet days in the study area need to be evaluated in future detail analysis. 3.1.2 3.2 | How do precipitation extremes change for different monsoon seasons? | Frequency indices At 95% field significance, R20mm records significant positive trends at 1.42 daydecade−1 (Table 3). The spatial distributions of the observed stations with significant positive trends (28% for R20mm) are densely located at the southwestern and northern parts of the studied region (Figure 5a). From Figure 5, decreasing frequency of precipitation extremes is observed for the central and southern regions of Peninsular Malaysia. These findings simulate that the wet regions are getting wetter while dry regions are getting drier (Allan et al., 2010; Liu and Allan, 2013; Wu and Lau, 2016; Schurer et al., 2020). Another notable change of extreme patterns from Figure 5 is the reduction of consecutive wet days in the capital of Malaysia, Kuala Lumpur (Station ID: 3217002 and 3217003), despite the positive trend in R20mm. This Situated in the western part of Southeast Asia, climate in Peninsular Malaysia is strongly modulated by the monsoon systems. Trends of intensity and frequency indices are further evaluated in seasonal scale to identify the change of extreme patterns in different seasons. Table 3 shows that during the NEM season, five of these indices, namely Rx5day, PRCPTOT, SDII, R95p and R20mm, exhibit significant increasing trends. R95pTOT shows a significant decreasing trend at −1.33%decade−1, despite the significant increasing trend for R95p. The decreasing ratio of R95p to PRCPTOT indicates that the rainfall amount on wet days during NEM season is increasing as a whole. The decreasing contribution from very wet days to annual rainfall amounts, despite its increasing 10 NG ET AL. F I G U R E 6 Spatial distribution of seasonal trends for the intensity indices during NEM season. Filled (hollow) triangle represents stations with statistically significant (nonsignificant) trends intensity, could also mean that high intensity rainfall during wet days has become increasingly common. This result opposes the findings by Abdul Halim et al. (2014) and Zin et al. (2010) saying that increasing trends were observed for R95pTOT for most of the stations in Peninsular Malaysia during NEM season. This is likely due to the differences in study periods and number of rain gauge stations utilized. From Figures 6 and 7, the significant decreasing trends for R95pTOT are observed mainly from stations located in the northern region, which have shown increases in both intensity and frequency of precipitation extremes. This suggests that the decreasing trends of R95pTOT do not necessarily indicate reduction in wet extremes. Thus, the result needs to be interpreted cautiously. The increasing trends of rainfall can also be observed from the east coast and southwest regions (Figures 6 and 7). In contrast, the stations at the southern region show decreasing trends for both intensity and frequency indices. This demonstrates a notable difference between the patterns of wet regions and dry regions due to the monsoon cycles coupling with topographical heterogeneity. For the SWM season, most of the stations located at the southern half of Peninsular Malaysia show significant increasing trends for extreme indices (Figures 8 and 9). From Table 3, three of the intensity indices, namely NG ET AL. 11 F I G U R E 7 Spatial distribution of seasonal trends for the frequency indices during NEM season. Filled (hollow) triangle represents stations with statistically significant (nonsignificant) trends; hollow circle represents stations with stationary trends PRCPTOT, SDII and R95pTOT, show significant increasing trend for the whole region, though the magnitudes are smaller compared to the trends recorded during NEM season. For the IM seasons, the spatial distribution of the stations with significant trends are scattered across the studied region without clear patterns (Figures 10 and 11), as the strong local convection system becomes dominant (Jamaluddin et al., 2018). Now the question here is, what contributes to the greater magnitudes of trends in the NEM season in comparison to the SWM season? This could be explained by the previous studies done on the climatology of the South China Sea during the NEM season. The weather in the Maritime Continent during the NEM season is characterized by two synoptic systems—the northeasterly cold surge and the near-equator cyclonic system known as the Borneo vortex (Chang et al., 2005a). Cold surge is the strong equator surge of low-level cold air driven by the sharp pressure gradient induced by the southward propagation of the continental Siberian high in the mid-latitudes (Ding, 1990; Wu and Chan, 1995). The high vorticity background created by the horizontal cyclonic shear of the cold surge (Chang et al., 2005b; Ooi et al., 2011), facilitated by the low-level convergence of the warm, moist southeasterly flow and the cool northeasterly surge (Tangang et al., 2008; Koseki et al., 2014) can result in the development of cyclonic disturbance in the vicinity of northwestern Borneo. This quasi-stationary mesoscale cyclonic disturbance, usually referred to as Borneo vortex (Chang et al., 2003) or cold surge vortex (Chen et al., 2002), has a shallow vertical structure in general. Occasionally, it could intensify into a cyclonic system in the strength of a tropical depression or a tropical storm that may propagate westward over the South China Sea and cause extreme rainfall in Peninsular Malaysia (Juneng et al., 2007). Liang et al. (2021) found that the Borneo vortex-associated rainfall accounts for 15–25% of the total rainfall amount in Peninsular Malaysia, but its contribution towards the 95th percentile maximum daily rainfall is relatively greater (20– 25%). Case studies in Peninsular Malaysia and Indonesia have also suggested a strong connection between the Borneo vortex and the occurrence of extreme precipitation events in these regions (Juneng et al., 2007; Tangang et al., 2008; Isnoor et al., 2019). To understand the long-term changes in the Borneo vortex and the northeasterly cold surge, Juneng and Tangang (2010) conducted trend analysis for the time series of seven indices during 1962–2007. Their results suggest that the frequency of vortex days is significantly increasing as the vortex centers shift northwestward away from the Borneo land mass associated with stronger easterly surge wind. The reduced interaction with the land topography allowed the Borneo vortex system to remain for a longer period of time in the marine area, resulting in an increase in vorticity. These synoptic scale changes can potentially drive more moisture to the eastern Peninsular Malaysia over the years, thus causing rainfall changes during the NEM season. To further analyze the trends of precipitation extremes during NEM season, the time series of each 12 NG ET AL. F I G U R E 8 Spatial distribution of seasonal trends for the intensity indices during SWM season. Filled (hollow) triangle represents stations with statistically significant (nonsignificant) trends index are plotted in Figure 12. Three intensity indices, namely Rx5day, PRCPTOT and R95p, recorded their peaks during 2017, which is also the wettest year of the study period. The high intensity of rainfall caused multiple flood events for Peninsular Malaysia during the NEM season in 2017 (The Malaysian Reserve, 2017; Davies, 2017a; 2017b; 2017c; New Straits Times, 2017a; 2017b). From Figure 12c,g, SDII recorded a huge jump during 2014, as the high number of consecutive dry days pushes up the ratio of rainfall amount to the number of wet days. Large fluctuations of trends are observed from the time series of four intensity indices (Rx5day, PRCPTOT, SDII and R95p) during 2014–2017 (Figure 12). The primary cause of these interannual variations in precipitation extremes could be due to the strong ENSO effect during 2015–2016 (Burton et al., 2018; Ng et al., 2018; Tan et al., 2021). The influence of ENSO on the climate system in Peninsular Malaysia will be further discussed in section 3.3. Additionally, the trends of precipitation extremes during NEM season are analyzed according to the climate regions defined by Bakar et al. (2020) and Lim (1976). These climatic regions are defined by applying clustering analysis based on the rainfall distribution in Peninsular NG ET AL. Malaysia and the boundaries of each region are shown in Figure 1. Table 4 shows that the intensity and frequency of precipitation extremes in the northern, eastern and southwest regions generally exhibit significant upward trends, while the exact opposite trends are observed for the southern region. These findings are in agreement with the spatial patterns presented in Figures 6 and 7. In comparison between these regions, the trends in the east coast have the greatest magnitudes due to the strong northeasterly monsoon surge during boreal winter. 3.3 | What are the underlying mechanisms of the precipitation anomalies? To explore the climatic driving mechanisms of precipitation anomalies in Peninsular Malaysia, we examine the correlations between extreme precipitation indices, global warming and ENSO. Results for the field significance test in Table 5 reveals that there is no significant correlation between global surface temperature anomalies and extreme precipitation indices. Given the Clausius– Clapeyron scaling has been widely considered as a guide for quantifying the increase of precipitation extremes (Trenberth, 1999; Trenberth et al., 2003), however, in reality it is difficult to identify direct causal linkages between global warming and precipitation extremes. The weak correlation between global surface temperature 13 anomalies and extreme precipitation indices is likely due to the small-scale convective systems as the main mechanisms for rainfall formation in tropical urban regions (Marzin et al., 2015). Li et al. (2018) has also reported stronger dependency between local effects and precipitation extremes in Singapore compared to the effect of global warming. In comparison to global temperature, Dittus et al. (2018) found that the sea surface temperature variability could drive a substantial fraction of interannual variability in precipitation extremes for the tropical regions. Many modes of climatic variability are coupled ocean–atmosphere phenomena, such as the ENSO, which is one of the most important modes of variability that influences the global atmospheric circulation on interannual timescales (McPhaden et al., 2006). In Peninsular Malaysia, the Spearman's ρ correlation test shows that there are strong correlations between ENSO and five of the extreme precipitation indices (Table 5). Among those five extreme precipitation indices, dominant negative correlations are observed between ENSO and PRCPTOT, SDII, R20mm and CWD, except CDD with positive correlation. This result implies that the cooling (warming) phase of the ENSO event tends to enhance (suppress) wet extremes in Peninsular Malaysia during the study period. Similar negative impacts on the precipitation extremes in Peninsular Malaysia during the warming phase (El Niño) of ENSO is observed by Amirudin et al. (2020) during 1960–2018. Our findings are generally consistent with F I G U R E 9 Spatial distribution of seasonal trends for the frequency indices during SWM season. Filled (hollow) triangle represents stations with statistically significant (nonsignificant) trends; hollow circle represents stations with stationary trends NG ET AL. 14 Tangang et al. (2017) and also the ENSO associated anomalous patterns found in the Philippines (Villafuerte II et al., 2014). Figure 13 demonstrates the spatial distribution of stations correlated with ENSO. For PRCPTOT, SDII, R20mm and CWD, the stations showing strong negative correlations with ENSO are mainly distributed at the northern, southwest and east coast of Peninsular Malaysia. Similarly, the observed stations showing strong positive correlations between CDD and ENSO are located at the same three regions. This spatial pattern of correlations indicates that the changes in intensity as well as the frequency of precipitation extremes in these three regions (Figures 4 and 5) are greatly modulated by the ENSO phenomena. A previous study by Juneng and Tangang (2005) suggested that the regional moisture transport in Southeast Asia is modulated by the anomalous regional atmosphere–ocean coupled interaction, which evolves according to phases of ENSO in the presence of the changing monsoonal background. The availability of atmospheric moisture content is the primary driver of rainfall, thus the changes of precipitation extremes during ENSO years are likely to be influenced by this regional atmosphere–ocean coupled interaction as well. F I G U R E 1 0 Spatial distribution of seasonal trends for the intensity indices during IM season. Filled (hollow) triangle represents stations with statistically significant (nonsignificant) trends; hollow circle represents stations with stationary trends NG ET AL. To investigate the dynamics of moisture flow during ENSO years, we analyzed the regional sea surface temperature anomalies, atmospheric moisture flux and vertically integrated moisture divergence in the El Niño (warming) and La Niña (cooling) years. During JJA season in El Niño years, Figure 14a shows that the northeast, southern and southwest regions of Peninsular Malaysia experienced moisture divergence in response to both strong westerly flux from the North Indian Ocean towards the western North Pacific region and strong easterly flux from the eastern Indonesia towards the South Indian Ocean. Figure 15a demonstrates an anomalous cooling spot in the eastern Indonesia and generally warming conditions over the South Indian Ocean, which create a dipole contrast of sea surface temperature anomalies across the Maritime Continent. This causes the strong easterly moisture flux over the Maritime Continent which tends to inhibit the convection process in this area. Unlike the pattern observed during JJA season, Peninsular Malaysia experiences moisture convergence as the South China Sea becomes warmer during SON season (Figures 14b and 15b). The moisture convergence can also be related to an anticyclonic circulation developed at the South Indian Ocean (Juneng and Tangang, 2005), as the high atmospheric pressure drives strong southwesterly flux towards the South China Sea (Figure 14b). During boreal winter in El Niño years (DJF season), the northern hemisphere becomes cooler and the South Indian Ocean becomes warmer. An anomalously warm 15 condition is observed in the area between equator and 15 S, extended from the South Indian Ocean towards the Maritime Continent (Figure 15c). At the same time, the anticyclonic activity during the previous season has also weakened rapidly (Juneng and Tangang, 2005). The combined effect of dipole sea surface temperature anomalies pattern and the weakened anticyclonic motion at the South Indian Ocean causes dry and cool northeasterlies from the northern hemisphere to travel across the South China Sea and Peninsular Malaysia towards the South Indian Ocean. The dry and cool air tends to suppress the wet extremes over the Peninsular Malaysia, and the impacts are clearly shown in their trends particularly during 1992, 1995, 2010, 2015 and 2016 (Figure 12). This moisture divergence and dry conditions over the Peninsular Malaysia persist through the MAM season in El Niño years, with a slight sign of weakening at the southern region. Unlike the patterns observed in El Niño years, intense cooling conditions are spotted at the southwestern of Australia during the JJA season in La Niña years, which extended northwards towards the southern Sumatra (Figure 15e). Dipole sea surface temperature anomalies pattern is formed when this cooling activity is coupled with the intense warming condition in the western North Pacific region. This results in strong southwesterlies along the southern coast of Peninsular Malaysia, which caused considerable upwelling at the southern half of Peninsular Malaysia (Figure 14e). During the SON season F I G U R E 1 1 Spatial distribution of seasonal trends for the frequency indices during IM season. Filled (hollow) triangle represents stations with statistically significant (nonsignificant) trends; hollow circle represents stations with stationary trends NG ET AL. 16 F I G U R E 1 2 Time series for (a) Rx5day, (b) PRCPTOT, (c) SDII, (d) R95p, (e) R95pTOT, (f) R20mm, (g) CDD and (h) CWD over Peninsular Malaysia during NEM season. Dashed line is the linear trend and R is its correlation coefficient North Rx5day (mmdecade−1) −1 PRCPTOT (mmdecade ) −1 −1 SDII (mmday decade ) East Southwest South Central 10.09 36.57 8.08 −14.81 −2.95 97.53 123.29 83.56 −27.45 −26.72 0.73 1.70 0.71 −0.35 0.16 R95p (mmdecade−1) 28.83 66.23 23.97 −21.38 −4.40 R95pTOT (%decade−1) −3.54 0.61 −1.22 −0.06 0.38 1.61 1.42 1.55 −0.55 −0.56 CDD (daydecade ) −2.10 −0.59 −1.16 0.00 1.50 CWD (daydecade−1) 0.59 0.08 −0.15 −0.86 −1.14 −1 R20mm (daydecade ) −1 T A B L E 4 Trends (Sen's slope estimate) in regional mean of all selected extreme precipitation indices for each region of Peninsular Malaysia during NEM season Note: Bold values are field significant trends at 95% level. in La Niña years, the center of intense cooling point shifted northwestward closer to the southern Sumatra, which strengthens the moisture convergence in the entire Peninsular Malaysia (Figures 14f and 15f). The cooling condition in the southeastern South Indian Ocean continues during the DJF season in La Niña years, while the NG ET AL. 17 northern hemisphere begins cooling during boreal winter (Figure 15g). The cool zone extended towards the south of Maritime Continent, forming a barrier of high atmospheric pressure which forces the strong northeasterlies T A B L E 5 The Spearman's ρ correlations between extreme precipitation indices and their potential driving factors during 1989–2018 Global surface temperature anomalies Rx5day Oceanic Niño Index 0.01 0.01 PRCPTOT −0.17 −0.45 SDII −0.10 −0.29 R95p −0.09 −0.28 R95pTOT −0.07 −0.15 R20mm −0.21 −0.47 CDD 0.05 0.20 CWD −0.17 −0.26 Note: Bold values are field significant at 95% level. from the South China Sea to converge at the relatively warmer region at the northeastern of South Indian Ocean (Figure 14g). In comparison to the DJF seasons in El Niño years, moisture convergence is observed along the east coast of Peninsular Malaysia. This is likely due to the relatively stronger easterlies from the western North Pacific region during the La Niña stage, transporting warm and moist air to the South China Sea which enhances the wet extremes in the east coast. The influence of La Niña phenomenon on the strengthening of wet extremes during DJF seasons is noticeable, especially during 2000, 2009, 2011 and 2017 (Figure 12). During MAM seasons, the temperature gradient is relatively gentle in the entire Southeast Asia region (Figure 15h). Moisture convergence is observed across the Maritime Continent including Peninsular Malaysia. From Figures 14h, the wet anomaly appears to be the result of convergence of moisture flux moving from the colder zones at the western North Pacific (top right corner of Figure 15h), South Indian Ocean and southwestern of Australia. F I G U R E 1 3 Spatial distribution of correlations between ENSO index and (a) Rx5day, (b) PRCPTOT, (c) SDII, (d) R95p, (e) R95pTOT, (f) R20mm, (g) CDD and (h) CWD over Peninsular Malaysia. Filled (hollow) triangle represents stations with statistically significant (nonsignificant) trends 18 NG ET AL. F I G U R E 1 4 Regional moisture flux (vectors; kgm−2s−1) and vertically integrated moisture divergence (shaded; ×10−4 kgm−2s−1) during (a) JJA, (b) SON, (c) DJF and (d) MAM seasons of El Niño and (e) JJA, (f) SON, (g) DJF and (h) MAM seasons of La Niña NG ET AL. F I G U R E 1 5 Sea surface temperature anomaly ( C) during (a) JJA, (b) SON, (c) DJF and (d) MAM seasons of El Niño and (e) JJA, (f) SON, (g) DJF and (h) MAM seasons of La Niña 19 20 4 | C ON C L U S I ON S This study evaluated the spatial and temporal trends of eight extreme precipitation indices based on daily rainfall records from 64 non-WMO rain gauge stations over Peninsular Malaysia in the 1989 to 2018 period. Statistically significant increasing trends in extreme precipitation indices including PRCPTOT, SDII, R95p and R20mm are observed in the annual assessment. Findings of this study reveal that the occurrence of extreme precipitation events in Peninsular Malaysia tends to be more frequent and intense over the year. The increasing trends detected for R95pTOT also suggest a shift to extreme precipitation patterns. The decadal rainfall distribution illustrates the rapid increase in annual rainfall at the eastern, southwestern and northwestern parts of Peninsular Malaysia. The findings are in parallel with the occurrence of catastrophic flood events at these similar regions. The spatial distributions of observed stations with significant increases in precipitation extremes are mainly distributed along the coastline or floodplain areas, which have relatively higher annual rainfall, while stations with decreasing trends are mostly located at the central mountainous region or inland areas with fewer annual rainfall. The results demonstrate an obvious contrast of wet regions (coastal) get wetter and dry regions (inland) get drier (Allan et al., 2010; Liu and Allan, 2013; Wu and Lau, 2016; Schurer et al., 2020). The seasonal trend analysis suggests that the intensity and frequency of precipitation extremes during NEM season are generally increasing, but lesser contribution from very wet days to the total precipitation (decreasing R95pTOT) is observed, which is different from findings from previous studies. The normalization of the extreme conditions could be the reasonable explanation, as the increment of PRCPTOT has outpaced R95p at a much faster rate. Besides, seasonal analysis also reveals wide variations for trends of precipitation extremes during different seasons. The Spearman's ρ correlation test reveals that there is no direct linkage between global warming and precipitation extremes in Peninsular Malaysia. This is likely due to the local convective systems as the main mechanisms for rainfall formation in tropical urban regions. Strong correlations are observed between those extreme precipitation indices and ENSO in the study area. The observed stations with significant correlations are spatially distributed at the northern, southwest and east coast regions of Peninsular Malaysia. This spatial pattern of correlations indicates that the intensity and frequency of precipitation extremes in these three regions are greatly influenced by the ENSO effects. To explore how ENSO effects are related to the changes of precipitation extremes in Peninsular Malaysia, sea surface temperature anomalies, NG ET AL. atmospheric moisture flux and vertically integrated moisture divergence are used to demonstrate the regional atmosphere–ocean dynamics during different seasons in El Niño and La Niña years. The variations in the regional moisture divergence are found to be closely related to the anomalous sea surface temperature patterns during El Niño and La Niña years. The wet extremes in Peninsular Malaysia tend to weaken during the El Niño phase but strengthen during the La Niña phase. From the evidence presented in this study, we conclude that the interannual rainfall variabilities in Peninsular Malaysia are strongly modulated by the ENSO cycles. Findings of this study fill the knowledge gaps on changes of precipitation extremes and their interactions with monsoon and ENSO cycles in Peninsular Malaysia. This study also verifies the complexity of spatial– temporal variability of precipitation extremes in the study area, which is deteriorating by the combined effects of large-scale atmospheric circulations, tropical monsoon cycles and orographic factors. Therefore, as the precipitation extremes show increasing tendency in Peninsular Malaysia, it is crucial to project and analyze future changes in precipitation extremes in terms of their intensity and frequency. The other characteristics and dynamics of precipitation extremes such as the changes of precipitation extremes at different elevation profiles and the impact of urbanization need to be evaluated in the near future to achieve better understanding of the underlying mechanisms. Furthermore, other alternative sources of rainfall data such as high-resolution satellite or reanalysis products that are proven to have high skills in rainfall estimation, can be considered in future precipitation extremes estimation (Mei et al., 2014; Beck et al., 2019). AUTHOR CONTRIBUTIONS Cia Yik Ng: Data curation; formal analysis; investigation; visualization; writing – original draft; writing – review and editing. Wan Zurina Wan Jaafar: Conceptualization; funding acquisition; methodology; project administration; supervision; writing – review and editing. Yiwen Mei: Conceptualization; funding acquisition; methodology; supervision; writing – review and editing. Faridah Othman: Conceptualization; funding acquisition; supervision; writing – review and editing. Sai Hin Lai: Conceptualization; funding acquisition; supervision; writing – review and editing. Juneng Liew: Conceptualization; funding acquisition; supervision; writing – review and editing. A C KN O WL ED G EME N T S This work was supported by the Ministry of Higher Education Malaysia under the Fundamental Research Grant NG ET AL. Scheme (FRGS/1/2018/TK01/UM/02/3). Y. Mei is thankful to the M-cube program (U064214) and the Water Theme project (U068408) of University of Michigan for financial support. We acknowledge the Malaysia Department of Irrigation and Drainage for making the hourly rainfall data available in this study. We also appreciate the ECMWF, NASA GISS, NOAA CPC and NOAA Physical Sciences Laboratory for keeping the climate datasets freely available online. FUNDING INFORMATION Ministry of Higher Education Malaysia, Grant Number: FRGS/1/2018/TK01/UM/02/3. 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SU PP O R TI N G I N F O RMA TI O N Additional supporting information may be found in the online version of the article at the publisher's website. How to cite this article: Ng, C. Y., Wan Jaafar, W. Z., Mei, Y., Othman, F., Lai, S. H., & Liew, J. (2022). Assessing the changes of precipitation extremes in Peninsular Malaysia. International Journal of Climatology, 1–24. https://doi.org/10. 1002/joc.7684