Summary · Probability calibration · January initialization · FMAM and its months

January initialization · FMAM and its months

Can a different method improve the tercile probabilities, or give better rainfall amounts and ranges, than the published pipeline (MVS-corrected members → smoothed counts → climatology blend)? Every parameter is fitted only on training years within each left-out year; the published forecasts are unchanged.

What each phase tested and what was confirmed better (All Ethiopia; Holm-adjusted p < 0.05 and not worse over the test years)
PhaseMethodsCompared withConfirmed better
Phase 1 · tercile probabilitiesPseudocount smoothing (no blend), Temperature scaling, Regularized Dirichlet calibration, Regularized multinomial logistic regression, Ordinal (cumulative-logit) logistic regressionPublished probabilities (climatology blend), RPSnone
Phase 2 · binary calibratorsPlatt (sigmoid) calibration, one-vs-rest + normalization, Beta calibration, one-vs-rest + normalization, Isotonic regression, one-vs-rest + normalizationPublished probabilities, RPSnone
Phase 2 · distribution models, tercilesEMOS, censored shifted gamma, Heteroscedastic extended logistic regression, Regularized quantile regressionPublished probabilities, RPSnone
Phase 2 · distribution models, amountsEMOS, censored shifted gamma, Heteroscedastic extended logistic regression, Regularized quantile regressionMVS-corrected ensemble, CRPSEMOS, censored shifted gamma (FMAM)
Phase 3 · distribution models, tercilesBayesian joint probability, Bayesian model averaging for precipitation, Quantile regression forestPublished probabilities, RPSnone
Phase 3 · distribution models, amountsBayesian joint probability, Bayesian model averaging for precipitation, Quantile regression forestMVS-corrected ensemble, CRPSnone

Amount and range shadow (EMOS, not published): 2026: 5 of 5 targets observed. Scores and maps →

Explore the evidence

Phase 1 →