Statistical Downscaling of Precipitation in Korea Using Multimodel Output Variables as Predictors

Similar documents
Statistical Downscaling of Pattern Projection Using Multi-Model Output Variables as Predictors

The Coupled Model Predictability of the Western North Pacific Summer Monsoon with Different Leading Times

Development of Multi-model Ensemble technique and its application Daisuke Nohara

Climate Outlook for March August 2017

Climate Outlook for December 2015 May 2016

Climate Outlook for October 2017 March 2018

Climate Outlook for March August 2018

Climate Outlook for Pacific Islands for May - October 2015

Climate Outlook for Pacific Islands for July December 2017

Climate Outlook for Pacific Islands for August 2015 January 2016

Climate Outlook for Pacific Islands for December 2017 May 2018

Evaluation of the Twentieth Century Reanalysis Dataset in Describing East Asian Winter Monsoon Variability

Six month lead downscaling prediction of winter to spring drought in South Korea based on a multimodel ensemble

The Formation of Precipitation Anomaly Patterns during the Developing and Decaying Phases of ENSO

Potential Predictability of Summer Mean Precipitation in a Dynamical Seasonal Prediction System with Systematic Error Correction

NOTES AND CORRESPONDENCE. Improving Week-2 Forecasts with Multimodel Reforecast Ensembles

4.3.2 Configuration. 4.3 Ensemble Prediction System Introduction

The Interdecadal Variation of the Western Pacific Subtropical High as Measured by 500 hpa Eddy Geopotential Height

Verification of the Seasonal Forecast for the 2005/06 Winter

ASIA-PACIFIC JOURNAL OF ATMOSPHERIC SCIENCES, 44, 3, 2008, p

Multi Model Ensemble seasonal prediction of APEC Climate Center

Toward enhancement of prediction skills of multimodel ensemble seasonal prediction: A climate filter concept

Long-Term Trend and Decadal Variability of Persistence of Daily 500-mb Geopotential Height Anomalies during Boreal Winter

Weakening relationship between East Asian winter monsoon and ENSO after mid-1970s

Seasonal Climate Watch September 2018 to January 2019

Seasonal Climate Watch July to November 2018

Interannual Variability of the South Atlantic High and rainfall in Southeastern South America during summer months

SUPPLEMENTARY INFORMATION

Spring Heavy Rain Events in Taiwan during Warm Episodes and the Associated Large-Scale Conditions

South Asian Climate Outlook Forum (SASCOF-6)

Oceanic origin of the interannual and interdecadal variability of the summertime western Pacific subtropical high

Utilization of seasonal climate predictions for application fields Yonghee Shin/APEC Climate Center Busan, South Korea

SUPPLEMENTARY INFORMATION

Seasonal Climate Watch April to August 2018

Introduction of Seasonal Forecast Guidance. TCC Training Seminar on Seasonal Prediction Products November 2013

Impacts of Recent El Niño Modoki on Extreme Climate Conditions In East Asia and the United States during Boreal Summer

statistical methods for tailoring seasonal climate forecasts Andrew W. Robertson, IRI

A Quick Report on a Dynamical Downscaling Simulation over China Using the Nested Model

The Spring Predictability Barrier Phenomenon of ENSO Predictions Generated with the FGOALS-g Model

Definition of Antarctic Oscillation Index

Seasonal Climate Watch June to October 2018

WMO LC-LRFMME Website User Manual

The ENSO s Effect on Eastern China Rainfall in the Following Early Summer

High initial time sensitivity of medium range forecasting observed for a stratospheric sudden warming

Statistical downscaling methods based on APCC multi-model ensemble for seasonal prediction over South Korea

Impacts of Climate Change on Autumn North Atlantic Wave Climate

URBAN HEAT ISLAND IN SEOUL

FUTURE PROJECTIONS OF PRECIPITATION CHARACTERISTICS IN ASIA

Research progress of snow cover and its influence on China climate

NOTES AND CORRESPONDENCE The Skillful Time Scale of Climate Models

South Asian Climate Outlook Forum (SASCOF-12)

What is one-month forecast guidance?

Performance of Multi-Model Ensemble(MME) Seasonal Prediction at APEC Climate Center (APCC) During 2008

Reprint 527. Short range climate forecasting at the Hong Kong Observatory. and the application of APCN and other web site products

2.6 Operational Climate Prediction in RCC Pune: Good Practices on Downscaling Global Products. D. S. Pai Head, Climate Prediction Group

JMA s Seasonal Prediction of South Asian Climate for Summer 2018

Winter Forecast for GPC Tokyo. Shotaro TANAKA Tokyo Climate Center (TCC) Japan Meteorological Agency (JMA)

Chapter 1 Climate in 2016

IAP Dynamical Seasonal Prediction System and its applications

Development of a statistical downscaling model for projecting monthly rainfall over East Asia from a general circulation model output

NOTES AND CORRESPONDENCE. On the Seasonality of the Hadley Cell

Upgrade of JMA s Typhoon Ensemble Prediction System

Interdecadal and Interannnual Variabilities of the Antarctic Oscillation Simulated by CAM3

Improving the seasonal forecast for summertime South China rainfall using statistical downscaling

Characteristics of Storm Tracks in JMA s Seasonal Forecast Model

Interpretation of Outputs from Numerical Prediction System

A Comparison of Three Kinds of Multimodel Ensemble Forecast Techniques Based on the TIGGE Data

Interannual Relationship between the Winter Aleutian Low and Rainfall in the Following Summer in South China

Introduction of climate monitoring and analysis products for one-month forecast

Circulation changes associated with the interdecadal shift of Korean August rainfall around late 1960s

The increase of snowfall in Northeast China after the mid 1980s

Forced and internal variability of tropical cyclone track density in the western North Pacific

APCC/CliPAS. model ensemble seasonal prediction. Kang Seoul National University

South Asian Climate Outlook Forum (SASCOF-8)

Decrease of light rain events in summer associated with a warming environment in China during

Seasonal Prediction of Summer Temperature over Northeast China Using a Year-to-Year Incremental Approach

On the Association between Spring Arctic Sea Ice Concentration and Chinese Summer Rainfall: A Further Study

High-Resolution Late 21st-Century Projections of Regional Precipitation by Empirical Downscaling from Circulation Fields of the IPCC AR4 GCMs

Southern Hemisphere mean zonal wind in upper troposphere and East Asian summer monsoon circulation

Impact of overestimated ENSO variability in the relationship between ENSO and East Asian summer rainfall

The Possible Reasons for the Misrepresented Long-Term Climate Trends in the Seasonal Forecasts of HFP2

Dynamical prediction of the East Asian winter monsoon by the NCEP Climate Forecast System

Fig Operational climatological regions and locations of stations

京都大学防災研究所年報第 49 号 B 平成 18 年 4 月. Annuals of Disas. Prev. Res. Inst., Kyoto Univ., No. 49 B,

ENSO and ENSO teleconnection

Verification at JMA on Ensemble Prediction

NOTES AND CORRESPONDENCE. Seasonal Variation of the Diurnal Cycle of Rainfall in Southern Contiguous China

P2.11 DOES THE ANTARCTIC OSCILLATION MODULATE TROPICAL CYCLONE ACTIVITY IN THE NORTHWESTERN PACIFIC

The spatio-temporal characteristics of total rainfall during September in South Korea according to the variation of ENSO

Why Has the Land Memory Changed?

Products of the JMA Ensemble Prediction System for One-month Forecast

A Preliminary Analysis of the Relationship between Precipitation Variation Trends and Altitude in China

Instability of the East Asian Summer Monsoon-ENSO Relationship in a coupled global atmosphere-ocean GCM

Predictability of the Summer East Asian Upper-Tropospheric Westerly Jet in ENSEMBLES Multi-Model Forecasts

Atmospheric circulation analysis for seasonal forecasting

East China Summer Rainfall during ENSO Decaying Years Simulated by a Regional Climate Model

Tokyo Climate Center s activities as RCC Tokyo

SHORT-TERM CLIMATE PREDICTION OF MEI-YU RAINFALL FOR TAIWAN USING CANONICAL CORRELATION ANALYSIS{

Large-scale atmospheric singularities and summer long-cycle droughts-floods abrupt alternation in the middle and lower reaches of the Yangtze River

Current Status of the Operational Multi-Model Ensemble Prediction System and Climate Service Activities at APEC Climate Center

Transcription:

1928 M O N T H L Y W E A T H E R R E V I E W VOLUME 137 Statistical Downscaling of Precipitation in Korea Using Multimodel Output Variables as Predictors HONGWEN KANG APEC Climate Center, Busan, South Korea, and State Key Laboratory of Severe Weather, Chinese Academy of Meteorological Sciences, Beijing, China CHUNG-KYU PARK, SAJI N. HAMEED, AND KARUMURI ASHOK APEC Climate Center, Busan, South Korea (Manuscript received 1 July 2008, in final form 18 December 2008) ABSTRACT A pattern projection downscaling method is applied to predict summer precipitation at 60 stations over Korea. The predictors are multiple variables from the output of six operational dynamical models. The hindcast datasets span a period of 21 yr from 1983 to 2003. A downscaled prediction was made for each model separately within a leave-one-out cross-validation framework. The pattern projection method uses a moving window, which scans globally, in order to seek the most optimal predictor for each station. The final forecast is the average of six model downscaled precipitation forecasts using the best predictors and will be referred to as DMME. It is found that DMME significantly improves the prediction skill by correcting the erroneous signs of the rainfall anomalies in coarse-resolution predictions of general circulation models. Although Korea s precipitation is strongly influenced by local mountainous terrain, DMME performs well at 59 stations with correlation skill significant at the 95% confidence level. The improvement of the prediction skill is attributed to three steps: coupled pattern selection, optimal predictor selection, and the multimodel downscaled precipitation ensemble. This study indicates that the large-scale circulation variables, which are predicted by the current operational dynamical models, if selected, can be used to make skillful predictions of the local precipitation by using appropriate statistical downscaling methods. 1. Introduction Korea is located in East Asia and its climate is under the influence of the East Asia monsoon (EAM). In summer (June August), the major rain-producing system is the monsoon subtropical front known as changma in Korea. More than 60% of the annual precipitation is concentrated during the changma period. The EAM often leads to severe disasters such as flooding or drought, which makes the forecast of the interannual variation of EAM important for the management of water resources and power allocation. Current general circulation models (GCMs), however, show quite low skill in predicting the EAM precipitation owing to the systematic biases in their simulation of Corresponding author address: Hongwen Kang, APEC Climate Center, National Pension Corporation, Busan Bldg., Yeonsan 2(i)-dong, Yeonje-Gu, Busan 611-705, South Korea. E-mail: hkang@apcc21.net regional features such as the Changma front (Kang et al. 2002; Wang et al. 2004; Kang et al. 2007a). In the past decade, the multimodel ensemble (MME) technique has been developed, to improve the seasonal prediction skill by reducing the uncertainties associated with individual models. It has been demonstrated that MME forecasts in general have better skills relative to forecasts from individual models (Krishnamurti et al. 1999; Palmer and Shukla 2000). With timely contributions of GCM hindcasts and forecasts from 15 institutes in the Asia Pacific Economic Cooperation (APEC) regions, APEC Climate Center (APCC) has been providing operational MME seasonal forecasts since 2004. The MME prediction skill, however, is still poor over the EAM region, including Korea (Kang and Shukla 2006). In addition, the current operational GCMs are still far from providing station-based information for users. For example, MME uses a 2.58 3 2.58 latitude longitude grid system with only two grid points located over Korea. DOI: 10.1175/2008MWR2706.1 Ó 2009 American Meteorological Society

JUNE 2009 K A N G E T A L. 1929 One approach that can provide valuable station-based precipitation prediction information is statistical downscaling. It is widely accepted that GCMs are able to reasonably simulate the large-scale atmospheric variables, such as geopotential height at 500 hpa (Z500) or sea level pressure (SLP; von Storch et al. 1993; Kang et al. 2004). Different downscaling techniques have been developed as tools for interpolating large-scale information into a local or regional scale (Zorita and von Storch 1999). Statistical downscaling methods establish an empirical statistical relationship between one or several large-scale meteorological variables, commonly atmospheric circulation, and local-scale variables (predictand), and then infer local changes by projecting the large-scale information on the local scale (Zorita and von Storch 1999). A statistical downscaling scheme can also use GCM output as predictor data to make predictions, which is known as model output statistics (MOS; Glahn and Lowry 1972; Wilks 1995). Thus, local precipitation can be specified by well-predicted large-scale circulation based on derived statistical relationships during the training period. MOS requires long series of data that are produced from the same dynamical model prediction system. Every time the dynamical model undergoes a major upgrade, the long series of hindcasts must be recomputed in order to derive new MOS relations that take into account possibly altered systematic errors of the dynamical model. The GCM hindcast data series, collected for MME seasonal forecasts at APCC, are also well suited for MOSbased downscaling. Some of these data have been used in the downscaling predictions of summer precipitation in the Philippines and Thailand; Z500 and SLP are used as predictors, separately (Kang et al. 2007b). Some of them have been used in the downscaling prediction of summer rainfall in Taiwan, where a method of combination of empirical orthogonal function (EOF) truncation and singular value decomposition analysis (SVDA) was developed for downscaling; both Z500 and SLP are used as predictors (Chu et al. 2008). The above research domains are located in tropical or subtropical regions where the rainfall is much affected by low-frequency tropical variability. In this study, our target area is located in extratropics where the precipitation is influenced by more complicated factors. Therefore, a synthesized downscaling strategy using the multipredictor optimal selection method and the MME technique is adopted to predict precipitation at the 60 stations over Korea. Section 2 describes the datasets used in this study and introduces the downscaling methodology. Section 3, first, demonstrates the skills of downscaling prediction, and goes on to analyze how the prediction skills are improved in the downscaling procedures. A summary is presented in section 4. FIG. 1. Korea topography map with 60 station locations and the precipitation climatology based on 21 yr from 1983 to 2003. Shading denotes the topography (m) and contours show the climatology (mm day 21 ). The contour interval level is 0.5 mm day 21. 2. Data and methodology a. Data Thepredictandissummerprecipitationat60stations over Korea, whose locations are shown in Fig. 1. Station-based observed monthly rainfall data series from 1983 to 2003 were obtained from the Korea Meteorological Administration (KMA). The observed data were used not only for the development of a statistical downscaling technique, but also for validating the prediction scheme using a cross-validation framework. The predictor data are taken from six operational seasonal prediction model outputs. The hindcast data, of 1-month lead predictions, are outputs from (Seasonal Prediction Model Intercomparison Project) SMIP-type experiments (Kobayashi et al. 2000). Table 1 shows the basic descriptions of the six models and their hindcast datasets. The National Centers for Environmental Prediction (NCEP) model is a coupled model (tier 1) while other models are tier 2 systems. The predictors are taken from eight variables of GCM outputs: Z500, SLP, 850-hPa temperature (T850), 2-m air temperature (T2M), 850-hPa zonal and meridional velocity (U850 and V850), and 200-hPa zonal and meridional velocity (U200 and

1930 M O N T H L Y W E A T H E R R E V I E W VOLUME 137 TABLE 1. Description of the GCMs used in this study. Here, HFP indicates Historical Forecasting Project and GDAPS is the Global Data Assimilation and Prediction System. Model Institution (member economy) Data type SST CWB Central Weather Bureau (Taiwan) SMIP/HFP Forecast GCPS Korea Meteorological Administration (Korea) SMIP/HFP Forecast GDAPS Korea Meteorological Administration (Korea) SMIP/HFP Forecast JMA Japan Meteorological Agency (Japan) SMIP/HFP Forecast MGO Main Geophysical Observatory (Russia) SMIP/HFP Observe persistence NCEP NCEP Climate Prediction Center (United States) SMIP/HFP Forecast V200). The hindcast data also span the 21-yr period from 1983 to 2003 and have a spatial resolution of 2.58 in latitude and longitude. b. Methodology The downscaling prediction includes three steps as follows: coupled pattern selection and projection, multipredictor optimal selection, and the multimodel ensemble. 1) COUPLED PATTERN SELECTION AND PROJECTION Pattern projection is based on the premise that local precipitation variation is related to the variation of large-scale patterns that are well simulated by dynamical models, hence local precipitation forecasts may be retrieved from the information in the coupled pattern using a proper transfer function. Suppose that the predictand and predictor are Y(t) and X(i, j, t), respectively. Here, Y(t) is a local observed precipitation and X(i, j, t) is model predicted large-scale variable in the grid point (i, j) for the same time. Then, Y(t) 5 ax p (t) 1 b, where X p (t) is the projection of the predictor in an optimal window. The optimal window refers to the area in which the sum of the correlation coefficients of the predictant at the target station when the predictor field reaches its maximum: X p (t) 5 å COR(i, j) 3 X(i, j, t). i, j The correlation coefficient based on the training period is obtained as COR(i, j) 5 1 å [Y(t) Y m ] 3 [X(i, j, t) X m (i, j)] N i, j, s x (i, j) 3 s y where N is the training year, the subscript m signifies the average of the variable during the training period, and s denotes the variance (Kug et al. 2007; Kang et al. 2007b). One important step in the downscaling procedure is the selection of the optimal window. It has been documented that GCM predictions, whose large-scale circulation variables are used as predictors in downscaling, commonly suffer from substantial drifts away from the observed climate, and these drifts are quite different for each model (Kang et al. 2002). To avoid these model biases, a movable window with a size of 15 3 10 latitude longitude grid points is set to scan over the globe. The optimal window is the most sensible area in which the sum of correlation coefficients of a predictor in the window with the precipitation at target station reaches its maximum. Through this step, the large-scale signals related to the variability of local precipitation may be captured, and the precipitation at the target station is ultimately specified by the large-scale information in the optimal window. 2) MULTIPREDICTOR OPTIMAL SELECTION There are two main mountains in Korea: Taeback Mountain is along the eastern coastline and Soback Mountain is in the southern region (see the shading in Fig. 1). The figure also shows the rainfall climatology in contours. In Korea, summer precipitation is mainly due to the changma front; however, it is also obviously influenced by local terrain, which results in two centers of maximum rainfall in two mountain areas. Figure 2 shows the spatial patterns and time coefficients of the four leading modes of the EOF analysis of the observed summer precipitation during the 21 years from 1983 to 2003. It is found that the first leading mode, which has the same sign over Korea, explains 45.9% of the total variance. This suggests that only less than half of total precipitation variance may be due to the same largescale system. Moreover, Fig. 2 shows that other three leading modes can explain a sum of 36.3% of the total variance and each mode has a dipole structure. Compared to the locations of the two mountains, these dipole structures imply the influence of the two mountains on rainfall. From the EOF analysis, it can be found that the precipitation at 60 stations, owing to the influence of local terrain, show quite different interannual variations with each other. Consequently, using only one predictor

JUNE 2009 K A N G E T A L. 1931 FIG. 2. The spatial patterns and time coefficients of the four leading modes of the EOF analysis of the summer precipitation over Korea during the 21 years from 1983 to 2003. to specify the variation of rainfall at 60 stations is not enough, one needs to search for more signal-bearing predictors and select the best one for different stations. In this study, the eight model output variables are used for downscaling and the predictor is the one with the best downscaling prediction skill; therefore, the predictor for one station may be different from another. 3) MULTIMODEL ENSEMBLE The uncertainties for MOS forecasts, in general, are caused by internal variability of the climate system, GCMs, and statistical downscaling models (Benestad 2001; Chen et al. 2006). Benestad (2002) found that uncertainties in monthly and annual precipitation scenarios associated with GCM realizations tended to be greater than those associated with the downscaling strategies. To reduce the uncertainties associated with GCMs, a MME prediction is performed using the average of the precipitation downscaled from the best predictor of the GCMs (hereafter referred to as DMME). For comparison, we created another MME using the average of the precipitation predicted from these GCMs (hereafter referred to as RMME). RMME precipitation, which has the same resolution of 2.58 3 2.58 as the GCMs, is interpolated to station points. As a result, the precipitation from both DMME and RMME can be verified against the observation at 60 stations; moreover, both MME prediction skills can be compared with each other. Figure 3 shows the flowchart of the downscaling strategy. For each model, the downscaling is first carried out using each of the eight variables as predictors, separately. The downscaling procedure is tested within a leave-oneout cross-validation framework, where 1 yr used as a forecast year is removed, leaving the other 20 yr as the training period for developing the statistical relation (WMO 2002). In this way, the downscaling forecast is performed in turn for 21 yr. Then, DMME is generated by averaging the downscaled rainfall from the best predictor of GCMs. Finally, both DMME and RMME predictions are compared with the observed precipitation at each station. 3. Results In this section, we first compare the skills of DMME and RMME in predicting interannual variations of rainfall

1932 M O N T H L Y W E A T H E R R E V I E W VOLUME 137 FIG. 3. The flowchart of the downscaling strategy in this study. over 60 stations in Korea. We then demonstrate how DMME achieves these skills through two steps of multipredictor optimal selection and MME. a. Downscaling prediction skills Figure 4 compares the temporal correlation coefficients (Wilks 1995; WMO 2002) of the predicted summer precipitations by both DMME and RMME with observations at 60 stations, during the period from 1983 to 2003. It can be seen that RMME shows very poor prediction skills; DMME, however, substantially improved the prediction skills with the correlation skill significant at the 95% confidence level at 59 stations. The striking contrast of the prediction skills indicates that RMME currently lacks the predictability for Korean rainfall, but DMME can provide valuable prediction of station rainfall for users. Figure 5 presents three time series of station-averaged precipitation anomalies: observation, DMME, and RMME during the period of 1983 2003. Compared with the observation, RMME predicts the opposite sign of anomalies in 12 yr. On the other hand, DMME predicts FIG. 4. The temporal correlations of the predicted precipitation from two MMEs with observations at 60 stations, during the period from 1983 to 2003. RMME is the average of precipitation predicted from the GCMs. DMME is the average of the precipitation downscaled from the best predictor of the GCMs. The solid line indicates the critical value of correlation coefficient is significant at the 95% confidence level.

JUNE 2009 K A N G E T A L. 1933 FIG. 5. The station-averaged summer precipitation anomaly time series: observation, DMME, and RMME, during 1983 2003. the same sign of rainfall anomalies as the observations in 17 yr, especially in the heavy rainfall years of 1987, 1998, 2002, and 2003 and in the drought years of 1983, 1988, 1992, and 1994. This indicates that the large-scale variables, which are output from the current operational dynamical models, are useful in predicting local rainfall, particularly in extreme years, by means of the downscaling strategy. b. Prediction skill improved by multipredictor optimal selection In this subsection, we take the Japan Meteorological Agency (JMA) and NCEP models as examples to show how prediction skills are improved through multipredictor selection procedure. Figure 6 shows the distributions of correlation skills for the JMA model. The verification period is 21 yr from 1983 to 2003. Figure 6a shows the correlation coefficients of the JMA predicted precipitation with observations. Figures 6c j show the correlation coefficients of JMA-downscaled precipitation by using eight output variables as predictors with observations, separately. The best prediction skill among these predictors at each station forms a composite skill map for all stations, as shown in Fig. 6b. It can be seen that a different predictor improves the prediction skill at different stations: Z500 FIG. 6. The correlation coefficients of predicted precipitation with the observation at each station: (a) JMA model; (b) a skill composite map with the best skill among that of above eight variables at each station; and (c) ( j) downscaling by using JMA-predicted Z500, SLP, T850, T2M, U850, V850, U200, and V200 as predictors separately. The dark shaded station indicates the correlation coefficient is significant at the 95% confidence level.

1934 M O N T H L Y W E A T H E R R E V I E W VOLUME 137 FIG. 7. As in Fig. 6, but for the NCEP model. as a predictor mainly improve the skills in the western part of Korea, SLP mainly in the central part, and T850 mainly in the northern part. It should be noted that some variables such as V850 and U200 contribute less skill. Moreover, no predictor can improve prediction skill at all stations on Jeju Island. This indicates that JMA cannot provide effective associated large-scale circulation information in predicting the precipitation variation on Jeju Island. Nevertheless, compared with the raw JMA prediction skills in Fig. 6a, Fig. 6b shows that multiple predictor selection significantly improves prediction skills at most stations, especially in the northern part of Korea. As in Fig. 6, Fig. 7 demonstrates the distributions of the correlation skills, but for the NCEP model. It is found that most of the predictors, such as Z500, SLP, V850, U200, and V200, obviously improve the prediction skills in the southern part of Korea. This suggests that in many fields of the large-scale variables predicted by the NCEP model, there are some areas where the NCEP model output is highly correlated with the rainfall variations in the southern part of Korea. It is also noted that in the northern part of Korea, only a few predictors contribute skills marginally in a few stations. As a composite map of best skills, however, Fig. 7b still shows that downscaling performs much better than the NCEP model over all of Korea, especially in its southern part. From the above two examples, it is found that JMA T850 is a good predictor for the northwestern area of Korea and the NCEP SLP is good for the southwestern part. Next, through taking Seoul in the northwestern area and Gwangju in the southwestern area as examples, we will illustrate the impact of optimal window selection and demonstrate how the stability of optimal window is related to prediction skill for different predictors. Figures 8a,b show the correlation coefficients between the precipitation at Seoul and JMA T850/SLP separately. Figures 7c,d show the correlation coefficients between the precipitation at Gwangju and NCEP T850/SLP separately. It is found that Seoul s rainfall has good correlation with JMA T850 in an extensive region of tropical South America and northern Africa; however, it has less correlation with JMA SLP. Consequently, JMA T850 is a better signal-bearing predictor for Seoul s

JUNE 2009 K A N G E T A L. 1935 FIG. 8. (a),(b) The correlation coefficients between the precipitation at Seoul and the T850/SLP simulated by JMA model during the 21 years of 1983 2003 separately. (c),(d) The correlation coefficients between the precipitation at Gwangju and the T850/SLP simulated by NCEP model during the 21 yr of 1983 2003 separately. The dark shading indicates the correlation coefficient is significant at the 95% confidence level. rainfall compared with JMA SLP. The result is consistent with Fig. 6, where T850 has the best prediction skill at the Seoul station among the eight variables. For the NCEP model, it is found that Gwangju s rainfall has good correlation with SLP over broad regions of Africa, southern Australia and the ocean to its east, and the southern Atlantic Ocean; but it has only marginal correlations in some areas with NCEP T850. Hence, NCEP SLP is a better predictor for Gwangju s rainfall compared with T850. Figure 6 suggests that downscaling prediction skills in the southern part of Korea mainly result from using SLP as a predictor other than T850. Figure 8 reveals that a variable, owing to its prediction uncertainties associated with different GCMs, may be a good predictor for one model but not for another. Therefore, it is necessary, at each station, to choose the best predictor for each model. Figure 9 is designed to reveal where the optimal window is selected in every forecast year. As stated before, the downscaling procedure in this study is under a leave-one-out cross-validation framework; the optimal window for each forecast year is selected based on its training period of 20 yr with the forecast year removed. With the forecast year changing from 1983 to 2003, the respective set of 20 training years also changes. Owing to these changes, there is a possibility that the location of the window may be unstable from one forecast year to another. Figure 9 illustrates how many times a grid point is selected for downscaling in the 21 forecast years. It is found that for the JMA model, T850 over the southern part of tropical South America is a stable information source for Seoul s rainfall; however, SLP as a predictor is dispersed. The NCEP model is another story: SLP over southern tropical Africa is stably selected for downscaling, but T850 is not. In this study, even within an optimal window, only the grid point with an absolute value of the correlation coefficients between predictand and predictor larger than 0.3 is selected for downscaling. As compared to Figs. 6 and 7, Fig. 9 clearly demonstrates that prediction skill is proportional to the stability of optimal window. The reason is that if a predictor window locates in a high correlation area and it changes less with different sets of training years, then the predictor window is a stable information

1936 M O N T H L Y W E A T H E R R E V I E W VOLUME 137 FIG. 9. The distributions of the number of times that a grid point is selected in the predictor area in 21 forecast years under a cross-validation framework: (a),(b) Seoul s rainfall using JMA-predicted T850 and SLP as predictors separately, and (c),(d) Gwangju s rainfall using NCEP-predicted T850 and SLP as predictors separately. source associated with rainfall variation; therefore, the downscaling can skillfully predict the rainfall variation through the stable statistical relationship under the crossvalidation framework. c. Prediction skill improved in MME procedure As shown in section 3b, JMA downscaling mainly improves the prediction skills over central Korea but not much in the southern part; NCEP downscaling mainly improves the prediction skills over the southern part of Korea but not much in the northern part. This is due to the prediction uncertainties associated with individual GCMs. To reduce the uncertainties of this type, we perform the ensemble mean of multimodel downscaling. Figure 10 shows the distributions of temporal correlation coefficients between the observed precipitation and predicted precipitation: Figs. 10a f are for six models, Fig. 10g is for RMME, Figs. 10h m are for six downscaling models, and Fig. 10n is for DMME. It is found that the predictions from these models except for the Global Climate Prediction System (GCPS), show very poor performance at most of the stations. Even RMME performs poorly. This indicates that prediction skill cannot be improved through the MME procedure if these participating models predict poor skill. On the other hand, the downscaling prediction skills for these models have been substantially improved compared with their respective raw model predictions. Moreover, DMME prediction is not only much better than RMME prediction, but also better than any downscaling model prediction. It is noticed that downscaling predictions by these individual models commonly perform well only in parts of Korea, but the combination of these downscaling predictions (DMME) achieves quite good prediction skills at all 60 stations. Figure 10 clearly demonstrates that DMME further improves prediction skill through the MME procedure, which successfully reduces the uncertainties associated with the individual models. Figure 11 shows the temporal correlation coefficients of the average observed rainfall over Korea with the predictions from six models and RMME and six models downscaled and DMME during 1983 2003. It is found that all the models except GCPS present negative prediction skills and that the correlation of RMME with the observation is only 20.21. After downscaling, all the

JUNE 2009 K A N G E T A L. 1937 FIG. 10. The temporal correlation coefficients of predicted rainfall with observations at each station: (a) (f) the six participating models, (g) RMME, (h) (m) the six downscaling models, and (n) DMME. The dark shaded station indicates the correlation coefficient is significant at the 95% confidence level. prediction skills have been apparently improved compared with their respective raw model predictions and five of them reach the skills significant at the 95% confidence level. The correlation coefficient of DMME with observations even reaches 0.75; this skill is also higher than the prediction skill of any of individual model s downscaling techniques. 4. Summary This study uses a multimodel output downscaling technique to predict summer rainfall at 60 stations over Korea. The hindcast datasets of six operational GCMs and station observed data, spanning a period of 21 yr from 1983 to 2003, are employed to develop the downscaling technique under a leave-one-out cross-validation framework. To search for a coupled pattern, a movable window is set to scan over a predictor field to find the area that is highly correlated with the station rainfall. Local precipitation can be specified by predicted largescale information in the optimal window based on the derived statistical relationship during the training period. Single predictors, however, cannot capture the variations of rainfall at 60 stations because Korea s rainfall is strongly influenced by local complex mountainous terrain. In this study, eight large-scale variables from six GCM outputs are taken as predictors to make downscaling predictions for each station separately; the best predictor for a model is the one with the best skill. The final prediction, DMME, is the average of the six downscaled rainfalls using the best predictors of GCMs. RMME, an average of six GCM-predicted rainfall, is also carried out for comparison. This paper demonstrates that DMME predictions are superior to RMME predictions. Out of 60 stations, DMME successfully predicts rainfall with correlation coefficients significant at the 95% confidence level at 59 stations; RMME fails at all stations. Out of 21 yr, DMME predicts the same sign of the averaged precipitation anomalies as observations in 17 yr, especially in the extreme years with heavy rainfall or severe drought; RMME predicts the same sign in 12 yr, which is close to a random choice. In this study, downscaling prediction skills are first substantially improved through a coupled

1938 M O N T H L Y W E A T H E R R E V I E W VOLUME 137 FIG. 11. The temporal correlations of observed precipitation of the average over Korea with the predictions from six participating models and RMME, and six downscaling models and DMME. RAW stands for the correlation skill of model prediction and DSC stands for the downscaling prediction. The solid line indicates the critical value of correlation coefficient is significant at the 95% confidence level. pattern projection procedure. Then, the skills are further improved through two steps: (i) multipredictor optimal selection and (ii) a multimodel downscaling ensemble. These skillful DMME predictions indicate that some large-scale variables, which are predicted by current operational GCMs, contain useful information on local climate variation and this information can be used to predict local precipitation variability if an appropriate downscaling strategy is applied. In this study, DMME uses only the ensemble mean of dynamical model outputs as predictors to make a deterministic prediction. Further investigations of making probabilistic downscaling MME predictions using ensemble member information will be carried out in the near future. Acknowledgments. The authors thank the Korea Meteorological Administration for providing the station data of precipitation in Korea. The authors also appreciate those institutes participating in the APCC multimodel ensemble operational system for providing the hindcast experiment data. REFERENCES Benestad, R. E., 2001: A comparison between 2 empirical downscaling strategies. Int. J. Climatol., 21, 1645 1668., 2002: Empirically downscaled multimodel ensemble temperature and precipitation scenarios for Norway. J. Climate, 15, 3008 3027. Chen, D., C. Achberger, J. Raisanen, and C. Hellstorm, 2006: Using statistical downscaling to quantify the GCM-related uncertainty in regional climate change scenarios: A case study of Swedish precipitation. Adv. Atmos. Sci., 23, 54 60. Chu, J., H. Kang, C. F. Tam, C. Park, and C. Chen, 2008: Seasonal forecast for local precipitation over northern Taiwan using statistical downscaling. J. Geophys. Res., 113, D12118, doi:10.1029/2007jd009424. Glahn, H. R., and D. A. Lowry, 1972: The use of Model Output Statistics (MOS) in objective weather forecasting. J. Appl. Meteor., 11, 1203 1211. Kang, H., and C.-K. Park, 2007a: Error analysis of dynamical seasonal predictions of summer precipitation over the East Asian-western Pacific region. Geophys. Res. Lett., 34, L13706, doi:10.1029/2007gl029392., K. An, C. Park, A. L. S. Solis, and K. Stitthichivapak, 2007b: Multimodel output statistical downscaling prediction of precipitation in the Philippines and Thailand. Geophys. Res. Lett., 34, L15710, doi:10.1029/2007gl030730. Kang, I.-S., and J. Shukla, 2006: Dynamical seasonal prediction and predictability of the monsoon. The Asian Monsoon, B. Wang, Ed., Springer, 585 612., and Coauthors, 2002: Intercomparison of the climatological variations of Asian summer monsoon precipitation simulated by 10 GCMs. Climate Dyn., 19, 383 395., J.-Y. Lee, and C.-K. Park, 2004: Potential predictability of summer mean precipitation in a dynamical seasonal prediction system with systematic error correction. J. Climate, 17, 834 844. Kobayashi, C., K. Takano, S. Kusunnoki, M. Sugi, and A. Kitoh, 2000: Seasonal predictability in winter over eastern Asia using the JMA global model. Quart. J. Roy. Meteor. Soc., 126, 2111 2123. Krishnamurti, T. N., and Coauthors, 1999: Improved weather and seasonal climate forecasts from multi-model superensemble. Science, 285, 1548 1550. Kug, J.-S., J.-Y. Lee, and I.-S. Kang, 2007: Global sea surface temperature prediction using a multimodel ensemble. Mon. Wea. Rev., 135, 3239 3247. Palmer, T. N., and J. Shukla, 2000: Editorial to DSP/PROVOST special issue. Quart. J. Roy. Meteor. Soc., 126, 1989 1990. von Storch, H., E. Zorita, and U. Cubasch, 1993: Downscaling of global climate change estimates to reigional scales: An application to Iberian rainfall in wintertime. J. Climate, 6, 1161 1171. Wang, B., I.-S. Kang, and J.-Y. Lee, 2004: Ensemble simulation of Asian-Australian monsoon variability by 11 AGCMs. J. Climate, 17, 803 818. Wilks, D. S., 1995: Statistical Methods in the Atmospheric Sciences. Academic Press, 467 pp. WMO, 2002: Standardised Verification System (SVS) for Long- Range Forecasts (LRF) new attachment II-9 to the manual on the GDPS (WMO-485). Vol. I, WMO, Geneva, Switzerland, 32 pp. Zorita, E., and H. von Storch, 1999: The analog method as a simple statistical downscaling technique: Comparison with more complicated methods. J. Climate, 12, 2474 2489.