Multi-model calibration and combination of seasonal sea surface temperature forecasts over two different tropical regions

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www.ic3.cat Multi-model calibration and combination of seasonal sea surface temperature forecasts over two different tropical regions by Luis R.L. Rodrigues, Francisco J. Doblas-Reyes, Caio A.S. Coelho

Climate Forecasting Unit (CFU) www.ic3.cat Our focus : Seasonal to decadal prediction Francisco J Doblas-Reyes : The Head Isabel Andreu-Burillo: air-sea dynamics Alberto Carrassi: initialisation techniques Virginie Guemas : Sea ice, North Pacific skill Fabian Lienert : regionalisation, PDO Melanie Davis : climate services We share, on request : 1)Autosubmit 2)Our decadal hindcasts 3)Monthly sea ice restarts 4)R diagnostic functions Danila Volpi : initialisation techniques, DePreSys Luis Ricardo Rodrigues : seasonal prediction Aida Pintó : extremes Muhammad Asif : EC-Earth Oriol Mula-Valls : system administrator Domingo Manubens : autosubmit developer We run on : 1)Marenostrum ( Spain ) 2)ECMWF 3)Lindgren ( Sweden ) 4)HECTOR ( Scotland ) 5)Our local cluster

Contents Seasonal climate prediction Forecast quality assessment Objectives Forecast systems Niño 3.4 index Subtropical Northern Atlantic index Scatterplot of three indices: BSS Conclusions

Seasonal climate prediction Definition Probabilistic in nature Main sources of predictability (Doblas-Reyes, 2010*) ENSO Other tropical ocean SST Climate change Local land surface conditions Others Methods of seasonal prediction Statistical Dynamical - One-tier GCM Mixed - biggest single signal - difficult - important in mid-latitudes - soil moisture, snow * Available at http://cdsagenda5.ictp.trieste.it/full_display.php?smr=0&ida=a09167. Accessed on October 14, 2010

Seasonal climate prediction Sources of uncertainty Initial conditions Ensemble forecast Model inadequacy Multi-model ensemble forecast

Forecast quality assessment Combine ECMWF System3 and NCEP CFSv2 using different methods of combination. Statistical model based on lagged SST. Deterministic point of view - Correlation coefficient Probabilistic point of view - BSS Probability above the median - Reliability Skill Score Probability above the upper quartile - Resolution Skill Score Two tropical SST indices: Niño3.4 SST index (170ºW - 120ºW, 5ºS - 5ºN) Subtropical Northern Atlantic (SNA) SST index (55ºW - 15ºW, 5ºN - 25ºN)

Forecast systems ECMWF System 3 ECMWF Integrated Forecast System (IFS) - Horizontal resolution: 125 km - Vertical levels: 62 Hamburg Ocean Primitive Equation (HOPE) model - Horizontal resolution: 0.3º x 1º within 10º of the equator and 1º x 1º midlatitudes - Vertical levels: 29 11 ensemble members, first of the month at 00 GMT Integration: 7 months long

Forecast systems NCEP CFSv2 NCEP Global Forecast System (GFS) - Horizontal resolution: 100 km - Vertical levels: 64 GFDL Modular Ocean Model version 4 (MOM4) - Horizontal resolution: 0.25º x 0.50º within 10º of the equator and 0.5º x 0.50º mid-latitudes - Vertical levels: 40 24 ensemble members (29 in November), start dates in January 11th, 16th, 21st, 26th, 31st, and the February 5th (at the synoptic times 00, 06, 12 and 18 GMT) Integration: 9 months long

Niño3.4 index (K) January Niño 3.4 (predictand, K) Forecast systems Statistical model Simple Linear Regression Lagged SST as predictor First training period: 1951-1981, adding a new year at a time Target period: 1982-2010 Observed HadISST Niño3.4 index from 1951 to 2009 Coelho et al. (2004) January December 1951 1981 December Niño 3.4 (predictor, K)

Forecast systems Niño 3.4 index forecasts for the target month of November with lead time 4 Start date in July

Forecast systems Simple Multi-model (SMM) Combine S3 and CFSv2 with no weighting, used as a benchmark Multiple Linear Regression (MLR) Combine S3 and CFSv2 with weighting Weights estimated from the MLR of the observation anomalies on the S3 and CFSv2 anomaly values Principal Component 1 regression (PC1) Perform a PCA on S3 and CFSv2 anomaly values Simple linear regression of the observation anomalies on the PC1 Principal Component Analysis regression (PCA) Perform a PCA on S3 and CFSv2 anomaly values MLR of the observation anomalies on the PC1 and PC2

Forecast systems Forecast Assimilation - Climatology (FAC) Estimate the likelihood PDF with S3, CFSv2 and statistical model Climatology as prior Forecast Assimilation - Statistical (FAS) Estimate the likelihood PDF with S3 and CFSv2 Statistical model as prior

Forecast systems Niño 3.4 index forecasts for the target month of November with lead time 4 Start date in July Cross-validation

Lead time Niño 3.4 index: ensemble-mean correlation Statistical model Statistical model S3 CFSv2 SMM MLR FAC FAS PC1 PCA S3 CFSv2 SMM MLR FAC FAS PC1 PCA Target month

Lead time Niño 3.4 index: BSS (prob > median) Statistical model Statistical model S3 CFSv2 SMM MLR FAC FAS PC1 PCA S3 CFSv2 SMM MLR FAC FAS PC1 PCA Target month

Lead time SNA index: ensemble-mean correlation Statistical model Statistical model S3 CFSv2 SMM MLR FAC FAS PC1 PCA S3 CFSv2 SMM MLR FAC FAS PC1 PCA Target month

Scatterplot of three indices: BSS All aspects: three indices, 12 target months, 7 lead times, two events (Prob > Median and Prob > Upper) Western Tropical Indian ocean (WTI) SST index (50ºE - 70ºE, 10ºS - 10ºN)

Conclusions Seasonal forecast is probabilistic in nature Quantify sources of forecast uncertainty (initial conditions and model inadequacy) SMM outperforms single forecast systems SMM is a difficult benchmark to beat due to: Short time series available Small number of dynamical forecast systems Unequally weighted combination methods improve both reliability and resolution, but not accuracy FAS improved both accuracy and reliability

Thank you