Seasonal Forecast (One-month Forecast)

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Seasonal Forecast (One-month Forecast) Hiroshi Ohno Tokyo Climate Center (TCC)/ Climate Prediction Division of Japan Meteorological Agency (JMA)

Outline Introduction Predictability and Ensemble Prediction Signal for 1-month Forecast Seasonal Forecast in Japan Procedure of 1-month Forecast

Introduction

Classification of Meteorological Forecasting (WMO GDPFS Manual) Forecasting target period Nowcasting Up to 2 hours Very short-range weather Up to 12 hours forecasting Short-range forecasting Beyond 12 hours and up to 72 hours Medium-range weather Beyond 72 hours and up to 240 forecasting hours Extended-range weather Beyond 10 days and up to 30 forecasting days Long-range forecasting Beyond 30 days up to two years Climate forecasting Beyond two years Target of this seminar Manual on the Global Data-processing and Forecasting System, Appendix I-4 (https://www.wmo.int/pages/prog/www/dpfs/documents/485_vol_i_en_colour.pdf)

Short/Long Range Forecasts Short range forecast Forecasting the actual weather parameters (e.g., weather, temp.) Deterministic forecast Seasonal forecast Temp. Prec. Sunshine Below Normal % % % Near Normal Above Normal Above example shows a forecast in 3 categories: Below, Near and Above normal. Probabilities of both below and near normal temp. are 40%, and above normal temp. is 20%. Forecasting deviation from the climatological normal in categories (Not actual temp. or precip.) Probabilistic forecast (Not forecasting which category will happen, but forecasting probabilities of occurrence for each category)

Anomaly Normal: Defined as 30-year average for 1981 2010 Anomaly: Deviation from the normal [Anomaly] = [Actual Value] [Normal] Weather condition changes from year to year (interannual variability) Anomalous climate may affects the lives of society (e.g., drought, flood, and hot spell) Anomaly is the target of seasonal forecasting.

Forecast Category JMA conducts seasonal forecast in 3 categories: Above, Near, and Below Normal Time series of temp. anomaly (1981-2010) Arranging historical data for 30- year (e.g., 1981-2010) in ascending order, 1-10 th : Below Normal Below Normal Near Normal Above Normal 11-20 th : Near Normal 21-30 th : Above normal Range of Near normal: -0.1 to +0.3

3-category Probabilistic Forecast In the seasonal forecast probability for each category is predicted. Occurrence rate for each category is expected 33% in climatology. In certain forecasting, deviation from the climatological occurrence is important. Climatological occurrence BN NN AN Certain forecast BN NN AN This forecast shows that above normal is more likely (50%), and below normal is less likely (20%) to occur than expected in climatology (33%).

Predictability and Ensemble Prediction

Multiple Structure of Atmospheric Phenomena Variations in atmosphere consist various space- and time-scale phenomena. Targets for seasonal prediction are phenomena with large time- and spacescale (over about a week). Main target of seasonal forecast

Signal and Noise for Each Kind of Forecast Kind of forecast Signal Noise Medium-range (One-week forecast) Green boxes show signal for short-range forecast and noise for one-month forecast Shortwave disturbance dominating over daily variations of weather Extended range (One-month forecast) Long-range (Three-month, Warm/Cold season forecast) Low-frequency variation of atmosphere (meanderings of the jet, blocking, AO, MJO and so on) Low-frequency variation of tropical ocean and its influence, such as ENSO and Indian Ocean variation Transient eddies (moving high, low) Low-frequency variation of atmosphere Blue box shows signal for seasonal forecast Red boxes show signal for one-month forecast and noise for seasonal forecast Noise can be reduced by time average (e.g., 1-month mean)

Forecast Chaos in Atmosphere Due to chaotic behavior of atmosphere, errors rapidly grow during period of prediction. To address this issue, ensemble prediction is essential for long-range forecasting. Forecast time

Ensemble Prediction In ensemble prediction, the model is run many times from very slightly different initial conditions. Ensemble Member = Individual solutions Ensemble spread = Standard dev. among members, suggesting degree of uncertainty Forecast time Ensemble mean = Average of ensemble members, suggesting degree of signal - Ensemble mean is statistically better than each member. - The more the number of members is, the better the prediction is.

Deterministic and Probabilistic Forecast Deterministic forecast Probabilistic forecast One initial state One forecast PDF for initial state PDF for forecast Calculate one forecast using one initial state EPS derives PDF for forecast. Possible to predict probability of the targeted phenomena, which add degree of reliability to deterministic forecasting.

Probability Density Function (PDF) Probabilistic Forecast Ensemble prediction system (EPS) enables to derive PDF from the distribution of individual members. This denotes that long-range forecast is possible with not deterministic but probabilistic manner. Initial Forecast

Strength of signal Initial and Boundary Condition Due to the chaotic nature of the atmosphere, the limit for deterministic forecasting is about two weeks. Information by atmospheric initial value Second kind of predictability The influence of boundary conditions is important for longer-range forecasting Information by boundary conditions (SST, sea ice) Hour Day Week Month Season Year

Signal for One-month Forecast

Madden-Julian Oscillation (MJO) Most dominant mode over the tropics in extended range timescale suppressed convection MJO propagates eastward along the equator with periods of 30 60 days A large-scale coupled pattern between deep convection and atmospheric circulation Clear signal of convection is seen over the Indian Ocean and the western Pacific Its convective activity makes an impact on mid-high latitude through the meandering of the jet stream Enhanced convection MJO is monitored with 200hPa velocity potential (upper-level divergence) field Possible to predict its evolution up to 2-3 weeks (Important signal for 1-month forecast) TCC Training Original; Seminar Madden on One-month and Julian Forecast, (1972) 12 Fig.16 Nov. 2018, JMA, Tokyo, JAPAN

Monitoring of MJO http://ds.data.jma.go.jp/tcc/tcc/products/clisys/mjo/moni_mjo.html Time-longitude section of chi200 anomaly along the EQ. MJO s phase and amplitude diagram Amplitude: distance from the center Blue: Upper-level Divergent anomaly Red: Convergent anomaly Position

Atmospheric Response to MJO Composite maps for each MJO phase in January http://ds.data.jma.go.jp/tcc/tcc/products/clisys/mjo/composite.html Phase 2: Active in the Indian Ocean ψ850 Phase 6: Active in MC the western Pacific OLR Negative OLR: active convection Response is dependent on season and the position of MJO

Matsuno-Gill pattern Basic features of the response of the tropical atmosphere to convective activity (heating). A pair of cyclonic circulation straddling the equator on the western side of the heating (equatorial Rossby wave). Low pressure and easterly winds along the equator east of the heating (equatorial Kelvin wave). Equator Anomalous heating Low-level response Atmospheric response in the lower troposphere to the heating symmetric about the equator Contours indicate perturbation pressure, and vectors denote velocity field. Red circle indicates the position of the heating. (Source: Gill 1980) Upper-level response shows the reverse of the low-level response.

BSISO In boreal summer, northward propagation is also seen over the Indian Ocean and the western Pacific BSISO hugely affects the Asian monsoon activity One of the typical evolutions of BSISO Blue: Negative OLR (active convection) Red: Positive OLR (inactive convection) Arrows: 850-hPa wind

Meanderings of jet stream by anomalous convections Shifted northwardly (north side of enhanced convections) Shifted southwardly (north side of suppressed convections) L H Divergence wind Convergence wind Upper level Suppressed convection Enhanced convection

Quasi-stationary Rossby Wave Meandering of the westerly wind often persists for more than a week due to (quasi-)stationary Rossby wave. Stationary Rossby wave often causes extreme weather (ex. hot/cold spell, drought ) The wave energy propagates eastward often along the subtropical and polar front jet streams (teleconnection). Stationary Rossby wave is one of the important phenomena in 1- month forecast. Typical path of Rossby wave energy propagation (Hsu and Lin, 1992)

Quasi-stationary Rossby Wave 200-hPa stream function anomaly in Dec. 2017 Wave trains are seen along the sub-tropical jet stream Z500 in Dec. 2017 Rossby wave trains are seen along the polar front jet stream Monthly mean temperature anomalies in Dec. 2017

Eurasia (EU) Pattern The EU pattern is shown as a Rossby wave train along the polar front jet stream. The positive EU pattern is associated with an enhanced ridge over Siberia and intensification of the Siberian High. Hence the positive EU is often connected to a cold air outbreak and leads to an unusually freezing episode over East Asia and sometimes Southeast Asia as well. Z500 (Jan 2016) SLP (Jan 2016)

Arctic Oscillation (AO) Meridionally asymmetric anomalies pattern of pressure (temperature) between arctic and mid-latitudes most dominant variations in the boreal winter Once the AO happens, it may persist and its influence may become large. SLP anomalies (1988/89 DJF) SLP anomalies (2009/10 DJF) +AO -AO H L L H H L

Seasonal Forecasts in Japan

Japan s seasonal forecast started in 1942 for the purpose to reduce agricultural damages associated with cooler summers.

Seasonal Forecast at JMA 1-month Forecast 3-month Forecast Warm Season Forecast Cold Season Forecast Date of issue Forecast Period Forecast Item Every Thursday Around 25 th of every month Around 25 Feb. Around 25 Sep. 1-month mean Weekly mean (1 st, 2 nd, 3 rd -4 th week) 3-month mean, Monthly mean (1 st, 2 nd, 3 rd month) 3-month mean (Jun. Aug.) Rainy season (Jun. Jul.) 3-month mean (Dec. Feb.) Temperature, Precipitation, Sunshine, Snowfall Temperature Temperature, Precipitation, Snowfall Temperature, Precipitation Temperature, Precipitation Precipitation Temperature, Precipitation, Snowfall

Forecast Region Forecast is issued for sub-regions divided based on the climate characteristics. Large Regions (issued by HQ) Sea of Japan side Northern Japan Small Regions (issued by the regional offices) Eastern Japan Pacific side Western Japan Okinawa-Amami

One-month Forecast Example issued on 13 Sep. 2018

Commentary on 1-month Forecast Summary of the forecast Commentary material is also provided from JMA HP Expected weather In western/eastern Japan, cloudy/rainy weather is expected due to the active front and humid airflow... 1-month forecast (probability) In 2 nd week (22-28 Sep.), eastern/western Japan, cloudy/rainy days will be more likely to appear than normal due to active front and humid airflow. Numerical model s forecast maps (SLP and T850)

Early Warning Information for Extreme Weather Objective: Mitigation of the adverse impacts from extreme weather events (hot/cold spell, heavy snow) on socio-economic activities such as agriculture and disaster prevention in early stage (1-2-week ahead). Targeted event: An extreme 7-day averaged temperature or 7-day snowfall amounts event which appears once per decade in climatology (i.e., 10%). Timing of issuing: When targeted event is expected to happen 5-14- day ahead with the probability of 30% or more (i.e., 3 times more likely to happen than normal). In this example, information for significantly cold weather from 9 Dec. onward was issued on 4 Dec.

2-week Temperature Forecast From June 2019, new information of temperature outlook for the next 2-week will be provided. On JMA-HP, observation data for the past week and forecast for the next 2-week are summarized in one page so that users can easily check the temporal change of temperature. Nagoya (Maximum) 名古屋 ( 最高気温 ) August (20-24) (21-25) (22-26) (23-27) (24-28) 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 29.5 32.4 34.4 34.2 30.1 33.0 33.3 当 日 30 30 32 32 33 32 32 33 34 34 34 33 Category 気温 Very High かなり高い (Minimum) 名古屋 ( 最低気温 ) 25.4 24.1 25.6 25.7 25.4 25.3 24.1 当 日 25 25 25 25 25 25 25 25 25 26 26 25 高い High 平年並 Near Normal 低い Low かなり低い Very Low Past 7-day (Observation) 1st week (Daily forecast) 2nd week (5-day mean forecast) Example issued on 14 Aug.

http://www.data.jma.go.jp/gmd/risk/en Utilization of Seasonal Forecast

Procedure of 1-month Forecast

Flow of Making 1-month Forecast Hindcast Numerical Model Ensemble Forecast Verification Map - Verification of model results Forecast Map Statistical Downscale Guidance Forecaster - Probability 1-month Forecast % - ENSO - Precipitation - Atmospheric response

Procedure of 1-month Forecast 1. Understand the current status of ocean and atmosphere 2. Check the numerical model results Convective activity (Precipitation) Atmospheric circulation (response to the convection) 3. Check the prediction skill of the numerical model 4. Check the guidance to estimate probability 5. Decide forecast Lecture on Wednesday Guidance is an application to translate model output values into target of forecasting with statistical relationship between forecast and observation INPUT Numerical model Goal of this seminar Statistical downscale Next lecture Exercise on Wednesday OUTPUT Probabilistic forecast

Backup Slides

Absolute vorticity Meandering of the jet stream induced by divergence wind relating with tropical convection anomalies Mid latitudes (Large) Vorticity is decreased. (Small) Low latitudes Upper level Upper level divergence wind around enhanced convections Inflow air mass from lower latitudes with small vorticity Westerlies has anticyclonic curvature Westerlies meanders northward Absolute vorticity is generally low in lower latitudes. When upper level divergence wind (enhanced convections) flows into the mid latitudes, relatively small absolute vorticity is supplied.

Shifted northward Divergence wind Convection active (Heating source) Response to heating source on EQ

Ref. CHI (velocity potential),psi (stream function) CHI and PSI are more helpful for monitoring large-scale atmospheric fields, comparing with [U,V]. CHI and PSI represent larger spatial distribution than divergence and vorticity, according to those definitions (refer to the note for details). Decomposition of the wind fields into divergence and rotation Divergence component Velocity potential (negative; more divergent) Rotation component Stream function (negative; anticlockwise) Actual wind vector Divergent component Rotation field H (in Northern Hemi.)

Velocity potential (Normal for January) -: divergent (active convection) +: convergent (inactive convection) CHI (200hPa) - (Div.) Div. Convection active Precipitation (GPCP) [ 10 6 m 2 /s] Divergence in the upper level in the western Pacific, reflecting active convections. [mm/day]

Upper (200hPa) Stream function (Normal for January) - + +: clockwise (anti-cyclonic) -: anticlockwise (cyclonic) (in Northern Hemisphere) Large contour dense = strong flow = jet stream [ 10 6 m 2 /s] Lower (850hPa) + - Aleutian low North-westerly monsoon North-easterly monsoon [ 10 6 m 2 /s]

Velocity potential (Normal for August) -: divergent (active convection) +: convergent (inactive convection) CHI (200hPa) - (Div.) 対流雲 Precipitation (GPCP) [ 10 6 m 2 /s] Divergence in the upper level over the Asian monsoon region, reflecting active convections. [mm/day]

Stream function (Normal for August) +: clockwise (anti-cyclonic) -: anticlockwise (cyclonic) (in Northern Hemisphere) Upper (200hPa) H Tibetan High H Large scale high in upper level (Tibetan high) [ 10 6 m 2 /s] Lower (850hPa) H North Pacific High H Southwesterly monsoon [ 10 6 m 2 /s]