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

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Development of Multi-model Ensemble technique and its application Daisuke Nohara APEC Climate Center (APCC), Busan, Korea 2007/2/21 JMA

Contents 1. Introduction of APCC 2. Seasonal forecast based on multi-model ensemble 1. Process of seasonal forecast 2. Deterministic seasonal forecast 3. Probabilistic seasonal forecast 4. Verification 3. Application using APCC forecast 1. index forecast 2. statistical downscaling 4. Summary

Asia Pacific Economy Cooperation (APEC) To meet the Bogor Goals of free and open trade and investment in the Asia-Pacific region Trade and Investment Liberalisation Business Facilitation Economic and Technical Cooperation

History 1998 Oct. 1999 Aug. Proposed APCN : 3 rd APEC S&T Ministers Meeting Approved APCN : 17 th APEC ISTWG Meeting 2003 Jan. Established at the Korea Meteorological Administration 2004 2005 Mar. Sep. Mar. Nov. Proposed the establishment of APCC : 4 th APEC S&T Minister s Meeting Supported the establishment of APCC : 27 th APEC ISTWG Meeting Endorsed the establishment of APCC : 1 st APEC Senior Official s Meeting Welcomed the establishment of APCC : 17 th APEC Ministerial Meeting Opening Ceremony : 13 th APEC Economic Leader s Meeting

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

Functions of APCC Developing a value-added reliable climate prediction system Acting as a center for climate data and related information Coordinating research toward the development of an APEC integrated climateenvironment-socio-economic system model

Multi-Institutional cooperation Meteorological Service of Canada, Environmental Canada Beijing Climate Center China Meteorological Administration International Research Institute for Climate and Society International Atmospheric Physics, Chinese Academy of Sciences Central Weather Bureau Chinese Taipei

Seasonal forecast based on Multi-Model Ensemble (MME)

Schedule of APCC seasonal forecast 1 DJF 2 3 4 5 6 7 8 9 10 11 12 1 2 3 MAM JJA SON DJF Precipitation T850 Z500 U850, U200 V850, V200 SLP T2m OLR MAM JJA 2007MAM forecast Feb. 22 SON DJF APCC provides 3 month forecast in each season.

Procedure of seasonal forecast Collection: 17 model datasets Quality check Composite: Deterministic Forecast (4 kinds of schemes) Probabilistic Forecast Graphic Verification: - previous prediction - hindcast Application: - index forecast - statistical downscaling Outlook: Interpretation and Description of Global/Regional Prediction Dissemination: - Web Information Up-load - Backup of the Data and Documents

APCC Participating Models Member Economies Acronym Organization Model Resolution Australia POAMA Bureau of Meteorology Research Centre T47L17 Canada MSC Meteorological Service of Canada 1.875 1.875 L50 China NCC IAP National Climate Center/CMA Institute of Atmospheric Physics T63L16 4 5 L2 Chinese Taipei CWB Central Weather Bureau T42L18 Japan JMA Japan Meteorological Agency T63L40 GDAPS/KMA Korea Meteorological Administration T106L21 Korea GCPS/SNU Seoul National University T63L21 METRI/KMA Meteorological Research Institute 4 5 L17 Russia MGO HMC Main Geophysical Observatory Hydrometeorological Centre of Russia T42L14 1.12 1.4 L28 IRI International Research Institute T42L19 USA COLA NCEP Center for Ocean-Land-Atmosphere Studies NCEP Coupled Forecast System T63L18 T62L64 NSIPP/NASA National Aeronautics and Space Administration 2 2.5 L34

APCC Deterministic MME Schemes 1. SCM: Simple composite of individual forecast with equal weighting. 2. CPP Coupled Pattern Projection Method : Simple composite of individual forecasts, after correction by statistical downscaling using CPPM 3. MRG Multiple Regression: Optimally weighted composite of individual forecasts. The weighting coefficient is obtained by SVD based regression. 4. SSE Synthetic Multi-Model Super Ensemble: Weighted combination of statistically corrected multi model output P P P P 1 = M 1 = M = i i i F i ˆ F i a F i i 1 = α ˆ M i i F i

APCC Deterministic MME Schemes 2. CPP Coupled Pattern Projection Method : Simple composite of individual forecasts, after correction by statistical downscaling using CPPM Y(t) = αx P (t) + β Predictor field X(i, j, t) ( model forecast) Predictand Y(t) ( observation) X P (t) Y(t) 1. determination of spatial pattern which is related to the target region. 2. calculation of regression coefficient in training period. 3. composition of all models

APCC Deterministic MME Schemes 3. MRG Multiple Regression: Optimally weighted composite of individual forecasts. The weighting coefficient is obtained by SVD based regression. O Actual Data Set (N) Regression P Prediction SVD technique

APCC Deterministic MME Schemes 4. SSE Synthetic Multi-Model Super Ensemble: Weighted combination of statistically corrected multi model output E(ε 2 ) Minimization using EOF Actual Data Set (N) Synthetic Data Set (N) Superensemble Prediction

APCC Deterministic MME Forecast

APCC Deterministic MME Forecast

APCC Probabilistic MME Schemes Combine different models Combine : according to each model s square root of ensemble size Na : num. of above-normal Nn : num. of near-normal Nb : num. of below-normal Merged 3-category distribution 2 χ (Chi-square) TEST k ( Oi Ei ) 2 i= 1 χ = E i O : Forecast frequencies E : Hindcast frequencies 2 Near-normal Above-normal 3-Categorical distribution Under 0.05% significance level Below-normal 3

APCC Probabilistic MME Schemes Normal fitting method APCC Multi-Model Probabilistic Forecast Temperature at 850 hpa (2006JJA) Probabilistic forecast Climatological PDF Target year PDF P A : Prob. of Above-Normal P N : Prob. of Near-Normal P B : Prob. of Below-Normal

Dissemination http://www.apcc21.net

Verification for Seasonal Forecast

Verification of Deterministic MME (model performance) Taylor Diagram : 1983~2003, JJA Hindcast individual model

Verification of Deterministic MME (spatial distribution of MSSS)

Verification of Deterministic MME (regionality) 0.6 0.5 0.4 0.3 ACC 0.2 0.1 0-0.1-0.2 AUSTRALIA EAST ASIA NORTH AMERICA RUSSIA SOUTH AMERICA SOUTH ASIA Anomaly Correlation Coefficient for hindcast in each region (precipitation, JJA, 1983-2003) individual model multi-model ensemble schemes

Verification of Deterministic MME (ACC skill score) individual model individual model 2004DJF forecast individual model 2005DJF forecast

Verification of Probabilistic MME Globe, Above-Normal, Precipitation Observed Relative Frequency 1.0 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 0.0 Reliability Diagram 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 Forecast Probability CWB GCPS GDAPS_F GDAPS_O HMC IRI IRIF model JMA METRI MGO NCC NCEP PMME 계열14 individual Hit rate 1.0 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 0.0 ROC Curve 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 False alarm rate Forecast skill of probabilistic multi-model ensemble is better than that of individual model.

Application using APCC prediction

Application using APCC prediction Statistical downscaling using MME prediction Thailand, Philippine, China Index forecast El Nino, PNA, AO, NAO, Monsoon (figures: from NWS CPC, http://www.cpc.ncep.noaa.gov/)

APCC Downscaling MME Forecast for precipitation in Thailand Bangkok Correlation coefficient before and after downscaling in each station 0.8 0.6 0.4 0.2 0-0.2-0.4-0.6 Suphan buri Lop buri Prachin buri Nakhon ratchsima Bangkok Donmuag Cor. coeff Sattahip Chata buri Average Before After Precipitation at Bangkok relates to sea level pressure over the western Pacific.

Index Forecast using MME DJF 2006/07 Nino3 Forecast SON 2006 PNA Forecast

Index Monitoring * Value : mean over the period indicated to lastest values (x) * Tendency : rate of change over the period indicated to lastest values (dx/dt)

Summary APCC is established in 2005 Nov in Busan Korea supported by APEC countries in order to reduce economic loss by climate. APCC provides 4 kinds of deterministic forecast and one probabilistic forecast. After the verification, we choose the best deterministic forecast. Forecast skill of deterministic MME schemes is better than that of individual model. Forecast skill over the land is worse than over the ocean. APCC has been developing statistical downscaling. The downscaling can improve forecast skill. APCC has been developing index forecast.

Thank you APEC Climate Center http://www.apcc21.net