Multi Model Ensemble seasonal prediction of APEC Climate Center

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ECMWF Seminar on Seasonal Prediction, 3-7 Sept. 2012 Multi Model Ensemble seasonal prediction of APEC Climate Center Jin Ho Yoo, Y.-M. Min, S.-J. Sohn, D.-Y. Lee, H. J. Park, J. Y. Seo and S. M. Oh

Outline APCC and operational MME forecast Works for more useful products Calibration and correction of MME forecast Deterministic and probabilistic Diversification of products Case study : Arctic-East Asia connection

Background

Benefit of Multi Model Ensemble R R MM = = V ( y ) R r R = 1 M i R i = 1 M r 2 i j y y i V j Independent and good models : Best forecast result (on average)

Beauty of Democracy Independent and Rational individuals : Best decision for society (in a long run)

Operational MME initiatives Need and scientific evidences for useful operational services of seasonal forecast based on MME International techincal cooperation (APEC recommends) APEC Climate Network was (APCN) proposed at 1998

Establishment Located at Busan, Korea ~45 staffs from 5 economies 1998 The creation of the APEC Climate Network (APCN) was proposed at the 3 rd APEC Science and Techonology Ministers Meeting in Mexico. semi operation function in 2004 2004 APEC Climate Center was proposed at the 27 th APEC Industrial Science and Technology Working Group meeding in Singapore. 2005 APEC member economies unanimously endorsed the establishment of APCC at the 1 st APEC Senior Officials Meeting in Korea. 2005. Nov. APCC was established

APCC Goals Facilitating the sharing of high-cost climate data and information Capacity building in prediction and sustainable social and economic applications of climate information Accelerating and extending socio-economic innovation

APCC operational Multi Model Ensemble forecast

Operational Multi Model Ensemble - Seasonal Forecast Global climate forecast collected from 17 institutes (9 countries) issue Monthly rolling 3-month MME climate forecast Researches on intraseasonal to climate change projection, Extreme events (drought/flood) forecast, regional downscaling MME Climate Forecast Production, Analysis, & Dissemination Climate Monitoring

Multi-Institutional Cooperation

Procedure of Seasonal Forecasts Participating Institutions APEC Climate Center (APCC) APEC Member Economies Data Collection Quality Check Dynamic Seasonal Prediction Deterministic Forecasts (4 DMMEs) Probabilistic Forecasts (PMME) Decision on official APCC forecasts 17 models Hindcast/ Forecast Historical Observation Communication with model holders Verification (Previous forecast, Hindcast) Graphics (Indi. Models, DMMEs, PMME) Outlook Interpretation/ description of prediction Preprocessing Decision on model set Application (Index forecast, CLIK, Statistical downscaling) Dissemination Date: 10 th 15 th 20 th (every month)

MME Forecasts output: T, P SCM PMME

Participating models Name/ Economy Hindcast Period SST Specification (Hindcast/Forecast) Ense mble (H/F) Name/ Economy Start Year/Month SST Specification (Hindcast/Forecast) Ense mble (H/F) BCC China 1983-2008 Predicted SST/ Predicted SST 8/8 JMA Japan 1979-2008 Predicted SST/ Predicted SST 5/51 COLA U.S.A. 1982-2002 OISSTv2/ IRI SST Forecast 10/10 NIMR Korea 1979-2009 Persistent OISST/ Persistent OISST 10/10 CWB Chinese Taipei 1981-2005 Predicted SST/ Predicted SST 10/10 MGO Russia 1979-2004 Observed SST/ Persistent SST 6/10 GCPS Korea 1979-2009 Predicted SST/ Predicted SST 12/12 MSC_CanCM3 Canada 1981-2009 Predicted SST/ Predicted SST 10/10 GDAPS_F Korea 1979-2009. Predicted SST/ Predicted SST 20/20 MSC_CanCM4 Canada 1981-2009 Predicted SST/ Predicted SST 10/10 HMC Russia 1979-2003 Persistent SST/ Persistent SST 10/10 NASA U.S.A. 1981-2009 Predicted SST/ Predicted SST 9(10)/ 9(10) IAP China 1979/Jan. Observed SST/ IAP-TOGA SST Forecast 7/7 NCEP U.S.A. 1982-2008 Predicted SST/ Predicted SST 15/15 IRI U.S.A 1979-2005 Observed SST/ Persistent SST 24/24 PNU Republic of Korea 1980-2009 Predicted SST/ Predicted SST/ 10(3)/ 10(3) IRIF U.S.A 1979-2005 Observed SST/ Predicted SST 24/24 POAMA Australia 1982-2006 Predicted SST/ Predicted SST 30/30 * Shaded: coupled model; red: participing models in MME; grey: not available now

MME Schemes Deterministic Forecast: - Simple Composite Method (SCM): Simple composite of individual forecast with equal weighting - Stepwise Pattern Projection Method (SPM; Kug et al. 2008): Calibrated MME which is obtained from the adjusted (or corrected) single-model predictions based on a stepwise pattern projection method - Multiple Regression Method (MRG; Krishnamurti et al. 2000): Empirically weighted MME with coefficient computed by multiple linear regression - Synthetic Multi-Model Super Ensemble Method (SSE; Yun et al. 2003): Empirically weighted MME with EOF-filtered data Probabilistic Forecast: - Probabilistic Multi-Model Ensemble (PMME; Min et al. 2009): Probabilistic MME based on position of the forecast PDF in respect to the historical PDF using Gaussian fitting method

Probabilistic MME Characteristics of the APCC operational models Inconsistencies between the model ensemble sizes in hindcast and forecast, with the individual model ensembles essentially differing in size P( E) = M i= 1 P( Modeli ) P( E / Model i ) Model Weight Forecast Probability of an Event

How to Combine Forecast Probabilities? 1 Equal weight (EW) Most simple and logical choice, given the difference between model forecasts (DF) being large DF mm = M i= 1 ( µ µ i mm M 1 ) 2 M µ i µ mm : number of model : i-model ensemble mean : mean of the indivedual model ensemble means 2 Weights proportional to the ensemble size (ES; Taylor 1997) An increase of the ensemble size of a single model improves its performance because it reduces the standard error (SE; e.g., Robertson et al. 2004; Hagedorn et al. 2005). σ SE = n σ n : standard deviation of the model spread : model ensemble size 3 Weight proportional to the squared root of the ensemble size (PMME) Inversely proportional to the maximum error in forecast probability associated with the standard error of the mean M 1 P( E j ) = M ni P( E j mdli ) P( E j mdl : probability of the model of the j event, i ) i= 1 n conditioned on the i model i= 1 i n : size of the sample

Comparison of Different Combinations Temperature Global PMME 0.16 EW 0.16 ES 0.15 Tropics [20 o S-20 o N] PMME 0.23 EW 0.23 ES 0.22 Precipitation PMME 0.07 EW 0.06 ES 0.07 PMME 0.12 EW 0.12 ES 0.13 perfect no-skill no-resolution Focus on the most appropriate method for use in an operational global prediction system Difficult to develop an optimal method in a realistic situation (Yoo and Kang 2005; Weigel et al. 2008) N. Extratropics [>20 o N] PMME 0.14 EW 0.14 ES 0.13 PMME 0.03 EW 0.02 ES 0.03 The PMME prediction shows consistently good performance for both variables and three regions. The PMME method is the appropriate choice for the operational approach for global probabilistic forecast. PMME EW ES

Dissemination and Publicity How To Release APCC MME Forecast Issues - E-mailing (to: 773 recipients) and Webcast (at: www.apcc21.org) - Deliverables by E-mail: Climate Outlook (incl. Climate Highlights and Forecast Outlook) - Information available via Website: Details such as monthly and regional prediction, and relevant verification How To Share APCC MME Forecast Data and Technology - CLIK (http://clik.apcc21.net): 2-way tool kit to facilitate data exchange and downscaling - ADSS (http://cis.apcc21.net) and TRACE (http://trace.apcc21.net) : protocols to exchange climate data and information

CLIK On-line Climate Information Toolkit http://clik.apcc21.net Web-based tool for data retrieval and climate prediction Customized 3-MON Multi- Model Ensemble Prediction Produce over 1,200 MME Prediction & 600 Verification results by user requests 3,882 visited CLIK came from 497 cities since March 2009 and the visiting count is continuously increasing

CLIK On-line statistical downscaling feature User can upload/modify their own observation data for downscaling though CLIK CLIK provides customized downscaling feature, so user can select conditions for each downscaling Selecting stations for downscaling CLIK generates downscaling result based on user s selection with user s observation data and MME data which many institutions contributed User can recognize which stations data and MME data are reasonable for downscaling of specified area through the result Downscaling result for each station

MME Comparison: ACC (1983-2003) [20 o N-90 o N] [20 o S-20 o N] [20 o S-90 o S] [20 o N-45 o N, 110 o E-140 o E]

MME Comparison: ACC (2005-2010)

Calibration and correction of Multi Model Ensemble forecast ENSEMBLE MEAN FORECAST

Step-wise Pattern Projection Method (SPM) MME Simple composite of individual model forecasts, after statistical correction by pattern projection method (SPM; Kug et al. 2008) P = 1 M M Y ˆ i i= 1 M: number of forecast models : corrected forecast of i th model Yˆi SPM: based on the large-scale patterns of the predicted variables by models (predictors) correlated with a local (or grid) observed variable (predictand) Training period Forecast Predictor field (model hindcast) X ( i, j, t) X p (t) Y ( t) = α X ( t) D X ( t) = Cov( x) ψ ( x, t) x T 1 Cov ( x) = Y ( t) ψ ( x, t) T t Predictant (Observation) Y (t) Produced by projecting the spatial pattern of the predictor field onto the covariance pattern between the predictor field and predictand. Y p (t) where, ψ ( x, t) : predictor field x, t : spatial and temporal grid points T T 1 1 2 α = Y ( t) X ( t) / X T t T t : regression coefficient of X(t) on Y(t) during a training period (T)

Predictor area (selected no. in cross-validation) Number of selected variable as an optimal predictor in a cross-validation mode for summer mean temperature and precipitation during 23 years (as an example, JMA model).

Corrected MME Prediction System Corrected by SPM-based statistical correction methods based on the linear correlation between the model and observed patterns Temporal Cor. (JJA, 1983-2003) Contour: Statistically significant at 5% level using Student t-test

Ano Pattern Cor 1.2 0.9 0.6 0.3 0.0-0.3 1.2 (a) El Nino DJF SCM SPM IM WNPM EAM AM (b) La Nina DJF Precipitation Ano Pattern Cor 0.9 0.6 0.3 0.0 IM WNPM EAM AM (c) Normal DJF IM: Indian Monsoon WNPM: WNP Monsoon EAM: East Asia Monsoon AM: Australian Monsoon

Anomaly Pattern Cor RMSE Diagram (1983-2003) Temperature Precipitation

Calibration and correction of Multi Model Ensemble forecast PROBABILISTIC FORECAST

Calibrated PMME Prediction System Model output (Predictor) Multi-variable SPM Corrected forecast (Predictand) Selection of reliable forecast M 1 M 2 M N T850 SLP Z500 T850 SLP Z500 T850 SLP Z500 Simple average of corrected predictions from 3 predictors Local Variable T850 Local Variable T850 Local Variable T850 Past performance: significant Past performance: not significant Simple average with equal weight Calibrated Probabilistic MME Prediction

Effects of Model Correction and Combination Temporal Correlation (1981-2003) Zonal Mean Temporal Correlation Model Correction Model Combination RAW: raw model output SPM-mono: mono-variable version of SPM SPM-multi: multi-variable version of SPM SCM: simple MME with all single-models (M1-M10) COM: simple MME with the skill-based selected models *: statistically significant at the 5% level

Effects of Variance Inflation Zonal Mean BSS Standard Deviation of IAV Inflation RAW: raw MME prediction noinf: corrected and combined MME prediction without variance inflation INF: corrected and combined MME prediction with variance inflation

Operational vs. Calibrated PMME Prediction CNT: operational PMME prediction (control forecast) EXP: calibrated PMME prediction (experimental forecast)

Operational vs. Calibrated PMME Prediction Aggregated ROC score for temperature CNT: operational PMME prediction (control forecast) EXP: calibrated PMME prediction (experimental forecast)

Diversification of products USER DEFINED CATEGORICAL FORECAST

Tercile (?) Critical value to be predicted Decisions relying on previous year(s) s experiences

Towards Early warning system for fire and haze in Indonesia Southern Kalimantan Central Sumatra (Field and Shen 2008)

2010 Probabilistic Forecast (Climatology) OBS Category Precipitation OBS Category Temperature Probabilistic forecast Probabilistic forecast

2010 Probabilistic Forecast (Last Year) OBS Category Precipitation OBS Category Temperature Probabilistic forecast Probabilistic forecast 0

Verification: Aggregated ROC Curve and Score CL: with respect to climatology LY: with respect to last year AN: Above-normal BN: Below-normal

Verification: Aggregated Brier Skill Score 1 0.8 Temperature (2009/2010JJA) AN BN 0.6 0.4 0.2 CL LY 0-0.2 Rel Res BSS Rel Res BSS 1 0.8 Precipitation (2009/2010JJA) AN BN 0.6 0.4 0.2 0-0.2 Rel Res BSS Rel Res BSS

Risk(?) management RECENT IMPACT OF ARCTIC REGION TO E.ASIA WINTER

Failure of East Asia winter temperature forecast 2008 2009 2010 E L

Failure of East Asia winter temperature

ARTI & EA T2M Relationship OBS COR (ARTI & T2M) 1981-1990 (cor = 0.01) 1991-2000 (cor = -0.44) 2001-2010 (cor = -0.67)

Arctic and Mid-Lat. temperature T & GPH (0-130E) Weak Temperature Gradient Weakened Westerlies More Frequent intrusion of Cold Polar air to Mid-latitude The zonal mean structure for the monthly-mean anomalous air temperature (shading) and zonal wind (contour) regressed on the ART index during DJF. The variables are averaged between 0 and 130 E. From Kug et al. 2012

Temporal Correlation Coefficient (DJF, 1981-2002)

Area-averaged Correlation Coefficient (DJF, 1981-2002) 2-tier model 1-tier model Sea ice, snow initialization: NCEP, PNU forecast JMA, POAMA climatology

COR (ARTI & T2M, 1981-2002)

What if we can predict Arctic temperature precisely? + Statistical post processing Replace artic temperature (north of 75N) with observation in CFS hindcast and see if SPM can transfer this information into lower latitude.

TCC=0.13 TCC=0.13 TCC=0.26

TCC=0.15 TCC=0.16 TCC=0.25

TCC=0.17 TCC=0.12 TCC=0.27

Anomaly Pattern Correlation [10-70oN] Anomaly Pattern Correlation [E. Asia]

Summary APCC MME : the mixture of forecasts from operational centers and research groups (could be the largest collection of forecasts) - APCC plays a role as a mid-fielder in Climate Services The calibration/correction (SPM) does something noticeable but need to be calibrated more for operational use Attempts on the more forecast products Recent failure of EA forecast might be attributable for Arctic region : chance of additional predictability or not? due to climate change

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