ࡱ> BDq`ёbjbjqPqP4 :: ppp8$LhD(ԠԠ$hnAAԠԠVrrrdԠԠrrr:m,Ԡ\ 9d |l0R^z|^^Dz:rͣ1AA|Dlr)r ESTUDO DE CASO DE FORMAO DE SISTEMA DE NUVEM VRGULA UTILIZANDO O MTODO DE PREVISO POR ENSEMBLE Jos Paulo Bonatti  Antonio Marcos Mendona  ABSTRACT A case study of mesoscale system with a comma cloud associated is performed for 18 to 23 September 2003. The used methodology is the ensemble forecasting which is operational at CPTEC. The results shows better statistical indexes for the ensemble forecast in comparison with a single deterministic forecasting, even using higher resolution. A result that requires further studies is related to it was found better statistical indexes considering only the perturbations that was summed to the initial condition. SUMRIO Realizou-se um estudo de caso de sistema meso-escala com nuvem em forma de vrgula associada para 18 a 23 de setembro de 2003. A metodologia empregada a previso por conjuntos utilizada operacionalmente no CPTEC. Os resultados mostraram ndices estatsticos superiores na previso por ensemble, em comparao com previso determinstica nica, mesmo com resoluo maior. Um resultado que merece estudos posteriores refere-se a que se encontraram ndices estatsticos superiores considerando somente as perturbaes somadas condio inicial. PALAVRAS CHAVE Sistemas de Meso-escala; Previso por Conjuntos; Previso Numrica de Tempo; Nuvem Vrgula INTRODUO A importncia dos estados iniciais nos erros cometidos nas previses numricas explicada pela teoria conhecida como caos, que, de forma simplificada, diz respeito sensibilidade da evoluo temporal de alguns sistemas dinmicos determinsticos no-lineares s condies iniciais e de fronteira. A atmosfera um exemplo desse tipo de sistema, de modo que estados iniciais ligeiramente diferentes podem levar a solues finais marcadamente distintas. Assim, mesmo com um modelo perfeito, como o estado real da atmosfera nunca completamente conhecido, os erros inevitavelmente existentes na anlise do modelo iro crescer ao longo do tempo de integrao, levando ao decaimento da qualidade da previso com o aumento do prazo e mantendo a impossibilidade de calcular o estado futuro da atmosfera indefinidamente. Isso leva existncia de incerteza em previses determinsticas do comportamento futuro da atmosfera e necessidade de mtodos probabilsticos para descrever adequadamente esse comportamento. Uma maneira de diminuir essas deficincias atravs de um mtodo para tratar o problema da incerteza no estado inicial que utiliza a tcnica de previso por conjuntos (ensemble forecasting ou ensemble prediction). A idia bsica da tcnica de previso por conjuntos , ento, diminuir o impacto da incerteza do estado inicial da atmosfera na previso final, tomando um conjunto de estados iniciais ligeiramente diferentes da anlise inicial e gerando uma sada do modelo para cada um dos estados desse conjunto. Aps vrios anos de pesquisa terica e experimentos numricos, a previso por conjuntos foi implementada operacionalmente em dezembro de 1992 em dois importantes centros de previso de tempo: o European Centre for Medium-Range Weather Forecasts (ECMWF) na Europa e o National Centers for Environmental Prediction (NCEP) nos Estados Unidos. Um mtodo para selecionar os estados iniciais, sugerido por Hoffman e Kalnay (1983), consiste em tomar previses de execues anteriores do modelo vlidas para o horrio da anlise utilizada (lagged average forecasting). No NCEP, o mtodo utilizado busca selecionar as perturbaes mais instveis (breeding method) atravs da integrao do prprio modelo utilizado (Toth e Kalnay, 1993). O primeiro passo do procedimento consiste na integrao do modelo durante 6 horas para 2 estados iniciais: um consistindo da anlise tradicional e o outro da anlise com pequenas perturbaes. Na primeira execuo desse procedimento as perturbaes so randmicas. Aps a integrao de 6 horas, o campo de diferenas entre as previses produzidas calculado. Esse campo , ento, reduzido de modo a manter a mesma amplitude da perturbao inicial e utilizado como perturbao para a repetio do procedimento para a anlise seguinte, vlida para o horrio das previses de 6 horas produzidas. Aps vrias repeties desse procedimento, o mtodo ter selecionado os modos de crescimento mais rpido, amortecendo os demais. O mtodo utilizado pelo ECMWF (singular vector method) baseado em um procedimento matemtico que foi primeiramente aplicado por Lorenz (1965) ao estudo da razo de crescimento de pequenos erros nas condies iniciais de um modelo. Considerando um intervalo de tempo em que os erros permanecem suficientemente pequenos para que a dinmica das perturbaes possa ser considerada linear, os modos de crescimento mais rpido podem ser calculados como os autovetores de um operador simtrico, definido como o produto do propagador linear (calculado a partir de uma linearizao do modelo) por seu adjunto (Molteni et al., 1996). Nos mtodos utilizados nesses dois centros no h um tratamento adequado para as regies tropicais. Como a dinmica e a fsica da atmosfera diferem bastante entre os trpicos e as latitudes mdias, os mtodos para a gerao de perturbaes utilizados que tm sucesso em latitudes mdias no so necessariamente adequados a regies tropicais. Recentemente, Zhang (1997) props um mtodo de gerao das perturbaes iniciais (eof-based perturbation method) para ser utilizado em domnio tropical, aplicando-o ao estudo da previso por conjuntos de trajetrias de furaces. O mtodo baseado no fato que durante os primeiros poucos dias da integrao do modelo (chamado intervalo timo), a perturbao cresce linearmente. Uma anlise de componentes principais (funes ortogonais empricas - EOF) aplicada srie temporal formada pelos sucessivos campos de diferenas entre previses geradas a partir da anlise tradicional e da anlise com perturbaes randmicas, com a finalidade de encontrar as perturbaes timas (de crescimento mais rpido). O autovetor associado ao maior autovalor considerado como a perturbao mais instvel. Os resultados obtidos por Zhang (1997) indicaram que as perturbaes geradas desse modo realmente corresponderam aos modos de crescimento mais rpido, com uma razo de crescimento muito maior que a de perturbaes randmicas. Este ltimo o mtodo implementado no CPTEC (Coutinho, 1999). O objetivo verificar a capacidade do mtodo por ensemble em uso no CPTEC em melhorar a desempenho da previso numrica em casos onde a previso determinstica (uma nica rodada) pode no ter bons ndices de acerto. Este o caso de formao de nuvem vrgula invertida, formada a retaguarda de sistemas frontais intensos, e que causam grande quantidade de precipitao e ventos relativamente fortes em superfcie. As nuvens vrgulas so sistemas convectivos de meso-escala com dimenses horizontais, entre 200 e 2000 km, e se deslocam para leste com velocidade de aproximadamente 8 m/s. O ciclo de vida de uma nuvem vrgula, desde sua fase insipiente at a dissipao, de aproximadamente 2 dias. So encontradas entre as latitudes de 20o e 35o S na Amrica do Sul (Bonatti e Rao, 1987). METODOLOGIA dada a seguir uma breve descrio do modelo global do CPTEC maiores detalhes podem ser encontrados em Kinter et al. (1997) e Bonatti (1996). O modelo global do CPTEC tem sua origem no National Centers for Environmental Prediction (NCEP/USA) e foi modificado pelo Center for Ocean-Land-Atmosphere Studies (COLA/USA) nas dcadas de 80/90. espectral e tm coordenadas horizontais esfricas e vertical sigma (presso do nvel normalizada pela presso de superfcie no ponto considerado). Possui truncamento triangular, e tem condies de contorno dadas por velocidade vertical sigma nula no topo e na superfcie, usa topografia espectralmente truncada, oznio mdio zonal e sazonal climatolgica interpolado para cada instante de tempo, dixido de carbono constante, temperatura da superfcie do mar e gelo do mar pr-fixados. Usa como condio inicial campos climatolgicos de umidade do solo e neve. A parte dinmica do modelo usa as equaes espectrais primitivas em forma de divergncia e vorticidade, temperatura virtual, umidade especfica e logaritmo natural da presso superfcie. Possui um procedimento de inicializao diabtica no-linear por modos normais. Usa diferenas finitas na vertical e o esquema de integrao no tempo o semi-implcito com filtro de Asselin. Os processos fsicos considerados so descritos a seguir. Na superfcie sobre a terra usa-se um modelo biolgico simplificado e sobre o oceano um esquema aerodinmico tipo bulk. A camada limite planetria tratada com um esquema de difuso vertical turbulenta com fechamento de segunda ordem, considerando-se tambm os efeitos do arrasto devido a ondas de gravidade. Tem um tratamento para a radiao solar ativado a cada hora de integrao e para radiao de onda longa ativado a cada 3 horas. A conveco profunda principal do tipo Kuo, modificado por Anthes, possuindo uma opo para um esquema do tipo Arakawa-Schubert Relaxado. A conveco rasa do tipo difusiva seguindo o esquema de Tiedke. O modelo possui esquemas de ajustamentos para a precipitao na escala da grade, difuso horizontal bi-harmnica e esquema difusivo para controle de instabilidade computacional. O mecanismo utilizado para a gerao das condies iniciais perturbadas baseado no mtodo aplicado por Zhang e Krishnamurti (1999) ao modelo global da Florida State University (FSU), nos Estados Unidos, e proposto inicialmente para previso de furaces. O mtodo, denominado EOF-based perturbation, foi desenvolvido levando-se em conta o fato de que durante os primeiros dias de integrao do modelo a perturbao cresce linearmente. Resumidamente, o procedimento para gerao das condies iniciais perturbadas consiste das seguintes etapas: Adicionar pequenas perturbaes randmicas, comparveis aos erros de previso, a anlise de controle (no perturbada); Integrar o modelo por 36 horas (intervalo timo) utilizando as anlises perturbadas e de controle, com sadas a intervalos fixos de 3 horas; Subtrair a previso de controle da previso perturbada para cada horrio de sada, obtendo uma srie temporal de diferenas dos campos previstos; Realizar uma anlise de Funes Ortogonais Empricas (EOF) para a srie temporal de diferenas sobre uma regio de interesse, obtendo os autovetores (modos) associados aos maiores autovalores, que so as perturbaes timas; Re-escalonar as perturbaes timas de forma que o desvio padro destas perturbaes seja da ordem das perturbaes iniciais; Construir um conjunto de estados iniciais adicionando e subtraindo estas perturbaes timas, aps o re-escalonamento, anlise de controle. Para a previso de furaces, Zhang e Krishnamurti (1999) propuseram perturbaes em relao posio inicial do furaco e o clculo das EOFs em uma regio vizinha ao furaco, j que lhes interessava a evoluo de um evento severo especfico. Entretanto, do ponto de vista de previso do padro da circulao geral da atmosfera, a aplicao de perturbaes na posio de algum evento especfico no parece ser razovel. Outras duas modificaes foram acrescentadas ao mtodo, a primeira, em relao a regio perturbada que originalmente foi confinada a regies vizinhas ao furaco. Para previso global, Coutinho (1999) obteve que tentativas preliminares de confinar as perturbaes em latitude e longitude, por exemplo, uma rea sobre a Amrica do Sul, no indicou bons resultados, pois, esse isolamento, eliminava o tratamento do crescimento das perturbaes em regies de influncia relevante no desenvolvimento dos sistemas sinticos. Seus resultados mostraram que a utilizao de uma regio mais estendida (45OS a 30ON e 0OE a 360OE) apresentava melhores resultados. A segunda modificao refere-se intensidade das perturbaes iniciais e de re-escalonamento das perturbaes timas. Zhang e Krishnamurti (1999) consideraram razovel que as perturbaes iniciais fossem da ordem dos erros de previso de 3 horas (3 m/s para o vento e de 0.6 K para a temperatura) e, para o re-escalonamento das perturbaes timas, consideraram que o desvio padro destas perturbaes, em relao mdia total (horizontal e vertical), deviam ser de 1.5 m/s para o vento e 0.7 K para a temperatura. Como a regio de perturbao foi alterada, valores mais adequados para as perturbaes iniciais e para o re-escalonamento foram testados. Valores um pouco maiores, 5.0 m/s para o vento e 1.5 K para a temperatura, obtidos do trabalho de Daley e Mayer (1986) para as perturbaes iniciais e para o re-escalonamento parecem produzir melhores resultados do que os sugeridos por Zhang e Krishnamurti (1999). Para realizar a anlise de componentes principais, monta-se uma matriz da srie temporal de diferenas de temperatura dispondo em cada coluna, sucessivamente, uma das matrizes de diferenas obtidas a cada 3 horas, a partir de 6 horas de integrao do modelo. Assim, cada coluna representa uma matriz tridimensional (latitude x longitude x nvel) disposta verticalmente. Desse modo, o conjunto total de dados de temperatura expresso por uma matriz retangular  INCLUDEPICTURE "http://www.cptec.inpe.br/prevnum/ensemble2_arquivos/image002.gif" \* MERGEFORMATINET de dimenso S x T, onde T = 11 (nmero de sadas em 36 horas) e S = N x M x L, com N = nmero de pontos de latitude, M = nmero de pontos de longitude e L = nmero de nveis. A matriz de covarincia definida por:  INCLUDEPICTURE "http://www.cptec.inpe.br/prevnum/ensemble2_arquivos/image004.gif" \* MERGEFORMATINET  (1) onde  INCLUDEPICTURE "http://www.cptec.inpe.br/prevnum/ensemble2_arquivos/image006.gif" \* MERGEFORMATINET  a matriz transposta de  INCLUDEPICTURE "http://www.cptec.inpe.br/prevnum/ensemble2_arquivos/image007.gif" \* MERGEFORMATINET . A matriz  INCLUDEPICTURE "http://www.cptec.inpe.br/prevnum/ensemble2_arquivos/image009.gif" \* MERGEFORMATINET , claramente, uma matriz simtrica, logo, tem T autovalores reais  INCLUDEPICTURE "http://www.cptec.inpe.br/prevnum/ensemble2_arquivos/image011.gif" \* MERGEFORMATINET e autovetores ortonormais  INCLUDEPICTURE "http://www.cptec.inpe.br/prevnum/ensemble2_arquivos/image013.gif" \* MERGEFORMATINET , cada um satisfazendo:  INCLUDEPICTURE "http://www.cptec.inpe.br/prevnum/ensemble2_arquivos/image015.gif" \* MERGEFORMATINET  (2) e a condio de ortonormalidade  INCLUDEPICTURE "http://www.cptec.inpe.br/prevnum/ensemble2_arquivos/image017.gif" \* MERGEFORMATINET  (3) onde  INCLUDEPICTURE "http://www.cptec.inpe.br/prevnum/ensemble2_arquivos/image019.gif" \* MERGEFORMATINET  a funo delta de Kronecker. Os autovalores de  INCLUDEPICTURE "http://www.cptec.inpe.br/prevnum/ensemble2_arquivos/image020.gif" \* MERGEFORMATINET so ordenados do maior para o menor, obtendo-se uma correspondente ordem nos autovetores associados (ordem decrescente da varincia explicada por cada autovetor). A matriz  INCLUDEPICTURE "http://www.cptec.inpe.br/prevnum/ensemble2_arquivos/image021.gif" \* MERGEFORMATINET  representada na base  INCLUDEPICTURE "http://www.cptec.inpe.br/prevnum/ensemble2_arquivos/image023.gif" \* MERGEFORMATINET dos autovetores  INCLUDEPICTURE "http://www.cptec.inpe.br/prevnum/ensemble2_arquivos/image024.gif" \* MERGEFORMATINET  como  INCLUDEPICTURE "http://www.cptec.inpe.br/prevnum/ensemble2_arquivos/image026.gif" \* MERGEFORMATINET , onde a matriz  INCLUDEPICTURE "http://www.cptec.inpe.br/prevnum/ensemble2_arquivos/image027.gif" \* MERGEFORMATINET consiste dos vetores-linha  INCLUDEPICTURE "http://www.cptec.inpe.br/prevnum/ensemble2_arquivos/image028.gif" \* MERGEFORMATINET , normalmente chamados de funes ortogonais empricas (EOFs). A matriz  INCLUDEPICTURE "http://www.cptec.inpe.br/prevnum/ensemble2_arquivos/image030.gif" \* MERGEFORMATINET contm os coeficientes para os diferentes autovetores nos diferentes tempos e funo somente do tempo.  INCLUDEPICTURE "http://www.cptec.inpe.br/prevnum/ensemble2_arquivos/image031.gif" \* MERGEFORMATINET  chamada de matriz das componentes principais. Os modos de crescimento mais rpido so facilmente selecionados atravs da evoluo temporal dos coeficientes dos autovetores. Os modos cujos coeficientes aumentam rapidamente com o tempo sero selecionados como os mais instveis. Para a srie temporal de diferenas do vento, o procedimento anlogo, mas considerando o vento como um vetor, atravs da composio de suas componentes zonal u e meridional v em um nmero complexo u + iv (representado por um vetor no plano dos Complexos) (Legler, 1983). Assim, para o clculo da matriz  INCLUDEPICTURE "http://www.cptec.inpe.br/prevnum/ensemble2_arquivos/image032.gif" \* MERGEFORMATINET , toma-se a matriz complexa conjugada transposta  INCLUDEPICTURE "http://www.cptec.inpe.br/prevnum/ensemble2_arquivos/image034.gif" \* MERGEFORMATINET da matriz  INCLUDEPICTURE "http://www.cptec.inpe.br/prevnum/ensemble2_arquivos/image035.gif" \* MERGEFORMATINET formada pelos vetores de diferenas do vento, obtendo-se:  INCLUDEPICTURE "http://www.cptec.inpe.br/prevnum/ensemble2_arquivos/image037.gif" \* MERGEFORMATINET  (4) de forma que  INCLUDEPICTURE "http://www.cptec.inpe.br/prevnum/ensemble2_arquivos/image038.gif" \* MERGEFORMATINET  uma matriz hermitiana, com autovalores reais e autovetores ortogonais. A previso de tempo por ensemble produz grande quantidade de informaes e tem sido um desafio para os centros meteorolgicos que implantaram este sistema condensar essas informaes e extrair delas as caractersticas mais importantes para o previsor, ou para o usurio final. A forma mais simples de apresentar estas informaes seria plotar todas as previses dos membros em uma nica pgina, entretanto, isto poderia causar interpretaes subjetivas e discusses improdutivas, alm disso, medida que o nmero de membros aumentasse seria difcil ter uma viso global de todos os padres previstos. Esforos significativos tm sido dedicados ao desenvolvimento de produtos que sintetizem as informaes do ensemble e que auxiliem a interpretao dos previsores. Os produtos mais comuns obtidos a partir da previso de tempo por ensemble fazem parte da rotina operacional de previso de tempo do CPTEC e esto sendo disponibilizados via internet, na homepage do CPTEC (http://www.cptec.inpe.br). O Ensemble mdio, a forma mais condensada de obter informaes da previso por ensemble, consiste em calcular a mdia das previses considerando-se que todos os membros sejam igualmente provveis de ocorrerem, desta forma, no se atribui peso a nenhuma previso especfica. O clculo pode ser feito para cada ponto de grade j como segue:  INCLUDEPICTURE "http://www.cptec.inpe.br/prevnum/ensemble2_arquivos/image040.gif" \* MERGEFORMATINET  (5) onde N o nmero de membros do ensemble (inclusive o de controle) e Fij so as previses de cada membro. O ensemble mdio pode ser considerado, numa aproximao determinstica, como a melhor estimativa da atmosfera futura, especialmente para previso de mdio prazo. Toth e Kalnay (1993), obtiveram que as correlaes de anomalias do ensemble mdio do NCEP para o geopotencial (500 hPa) eram 2% (3%) maiores sobre o Hemisfrio Norte (Hemisfrio Sul) do que a previso determinstica de 5 dias, numa resoluo T062. Para avaliar o desempenho nos experimentos sero utilizados os mesmos ndices estatsticos que so calculados diariamente para a previso tradicional, nas execues operacionais do modelo global do CPTEC. Esses ndices so calculados a partir das expresses a seguir. Correlao de anomalia ou destreza (skill) em %:  EMBED Equation.3  Erro quadrtico mdio (root mean square error):  EMBED Equation.3  Erro mdio (bias ou vis):  EMBED Equation.3  onde a barra superior denota a mdia na regio de verificao e  EMBED Equation.3 : anlise verificada;  EMBED Equation.3 : climatologia;  EMBED Equation.3 : previso;  EMBED Equation.3 : nmero de pontos de grade na regio de verificao. As variveis utilizadas operacionalmente tambm foram mantidas: vento, altura geopotencial, presso ao nvel mdio do mar e temperatura virtual. Para o vento, a correlao de anomalia (skill) e o erro mdio (vis) so calculados separadamente para as componentes zonal e meridional. RESULTADOS Estudou-se um caso de nuvem vrgula invertida associada com frente fria utilizando anlises T254L64, provenientes do NCEP, para os horrios 00, 06, 12 e 18 UTC e para os dias de 18/09/2003, 00 UTC, a 20/09/2003, 12Z. Para este perodo, realizou-se um experimento de previso por conjuntos (ensemble) com 15 membros e resolues T042L28, T062L28, T126L28 e T170L42, com anlises obtidas a partir da resoluo T254L64 j citadas. Os resultados so mostrados para o dia 20 de setembro de 2003, 12 UTC, atravs de tabelas de estatsticas (correlao de anomalias e campos, erro mdio (vis) e erro quadrtico mdio) para as variveis de altura geopotencial para 500 hPa e temperatura absoluta, vento zonal, vento meridional, gua precipitvel, divergncia horizontal, vorticidade vertical, funo de corrente, potencial de velocidade, adveco de temperatura, adveco de vorticidade, convergncia de umidade para 850 hPa. Para as resolues de T042L28, T062L28 e T126L28 so mostrados resultados destas estatsticas para o controle, ensemble mdio, ensemble somente com perturbaes somadas, ensemble somente com perturbaes subtradas e ensemble mdio sem o controle. Para as resolues de T170L42 e T254L64 so apresentadas estatsticas referentes somente ao controle. Em todos os casos as estatsticas so calculadas na rea limitada por: 50OW a 0OW em longitude e 50OS a 20OS em latitude. So tambm mostrados campos das mesmas variveis e resolues de anomalia observada, anomalia prevista do controle, anomalia prevista pelo ensemble mdio e desvio padro do ensemble para 20 de setembro de 2003, 12 UTC; a condio inicial 18 de setembro de 2003, 00 UTC, dando uma previso de 2,5 dias. Realizaram-se as seguintes resolues do modelo em modo de ensemble com 15 membros cada (controle mais 7 perturbaes somadas e subtradas): T042L28, T062L28 e T126L28. Executou-se para o mesmo caso o controle nas seguintes resolues: T170L42 e T254L64. Em todos os casos a anlise controle proveniente do NCEP na resoluo T254L64 e degradada para o caso em questo. O modelo rodado com conveco tipo Kuo e temperatura da superfcie do mar mdia semanal, tambm proveniente do NCEP. As tabelas 1 a 6 apresentam estatsticas relevantes para a anlise do desempenho do modelo neste caso. Em geral a correlao diminui e o erro quadrtico mdio aumenta com o aumento da resoluo, exceto para vrios casos do T042L28, e as variveis no-derivadas (altura geopotencial, temperatura absoluta, vento zonal, vento meridional, gua precipitvel) tem correlao maior; as variveis derivadas (divergncia horizontal, vorticidade vertical, adveco de temperatura, adveco de vorticidade e convergncia do fluxo de umidade, no mostradas) apresentam correlaes inferiores. Curiosamente, os campos de potencial de velocidade e de funo de corrente, que so derivados, tambm apresentam correlaes relativamente altas. Isto se deve ao fato de que os sistemas so de origem baroclnica e, ento, o geopotencial tem relao direta com a funo de corrente. O erro mdio (vis) considera baixo em todos os casos, mostrando baixas tendncias de subestimar (vis negativo) ou superestimar (vis positivo) os campos analisados. O erro quadrtico mdio tambm est dentro dos padres conhecidos em modelagem numrica da atmosfera. Um fato a ressaltar que em geral a mdia do ensemble tem correlao maior e erros menores, justificando sua utilizao. Uma outra caracterstica interessante que em vrios casos considerando apenas os membros onde as perturbaes so somadas, e em outros onde so subtradas, a correlao maior que a mdia dos membros. Em outros casos, excluindo-se o controle na mdia, a correlao maior que a mdia total. Como a correlao da mdia maior e os erros menores que o controle, considera-se que o sistema de previso por conjuntos empregada no CPTEC tem xito. Alm disso, baseando-se essencialmente neste caso e nos ndices estatsticos, a mdia da previso por conjuntos tem importncia equivalente a controles com mais alta resoluo. Alm disso, h a vantagem de se poder atribuir estimativa de porcentagem de acerto utilizando anlise de cluster nos membros do ensemble. Por outro lado, o detalhamento que a alta resoluo traz justifica seu uso como informao adicional na previso. Tabela 1 Altura geopotencial em 500 hPa. Tabela 2 Temperatura absoluta em 850 hPa. ResoluoCorrela- o (%)Vis (m)EQM (m)Caso ResoluoCorrela- o (%)Vis (K)EQM (K)CasoT042L2892.40-17.8329.00ControleT042L2875.26-0.431.70Controle93.05-15.8028.14Mdio75.83-0.321.69Mdio91.54-11.7427.67Menos75.57-0.341.71Menos93.74-19.5628.49Mais76.06-0.281.68Mais93.08-15.6528.08Mais-Menos75.83-0.311.69Mais-MenosT062L2892.47-14.1027.54ControleT062L2876.57-0.281.67Controle92.39-12.5927.34Mdio75.77-0.281.69Mdio91.87-8.1526.65Menos77.40-0.301.65Menos92.50-16.8327.98Mais72.69-0.271.73Mais92.38-12.4927.32Mais-Menos75.68-0.281.69Mais-MenosT126L2887.50-9.9331.20ControleT126L2872.57-0.261.75Controle87.62-8.9931.13Mdio72.02-0.281.76Mdio83.23-5.9532.61Menos70.32-0.291.77Menos90.56-11.9029.56Mais71.99-0.261.75Mais87.91-8.9331.12Mais-Menos71.93-0.281.76Mais-MenosT170L4284.48-8.0434.33ControleT170L4271.67-0.121.88ControleT254L6484.96-9.8534.14ControleT254L6470.88-0.111.91Controle Tabela 3 Vento zonal em 850 hPa Tabela 4 Vento meridional em 850 hPa. ResoluoCorrela- o (%)Vis (m)EQM (m)Caso ResoluoCorrela- o (%)Vis (K)EQM (K)CasoT042L2881.821.294.71ControleT042L2882.841.264.44Controle82.941.274.67Mdio83.791.134.39Mdio79.821.264.82Menos81.581.044.48Menos85.241.294.51Mais84.861.204.30Mais82.991.274.66Mais-Menos83.831.124.39Mais-MenosT062L2879.171.214.95ControleT062L2880.571.054.65Controle81.391.154.84Mdio81.760.944.60Mdio80.071.144.88Menos80.130.864.63Menos82.031.154.78Mais81.791.014.56Mais81.521.144.83Mais-Menos81.810.934.60Mais-MenosT126L2870.600.825.70ControleT126L2866.741.005.88Controle73.850.845.57Mdio69.010.895.79Mdio68.240.935.79Menos57.270.906.18Menos78.260.755.31Mais77.160.865.36Mais74.050.845.56Mais-Menos69.130.885.79Mais-MenosT170L4268.650.596.10ControleT170L4260.850.926.52ControleT254L6470.500.445.94ControleT254L6462.380.966.45Controle Tabela 5 gua precipitvel Tabela 6 Funo de corrente em 850 hPa. ResoluoCorrela- o (%)Vis (m)EQM (m)Caso ResoluoCorrela- o (%)Vis (K)EQM (K)CasoT042L2873.731.024.77ControleT042L2890.37-1.713.22Controle74.870.924.72Mdio91.80-2.643.53Mdio69.360.924.93Menos89.83-2.973.73Menos78.650.894.49Mais93.32-2.443.37Mais74.910.914.72Mais-Menos91.89-2.703.56Mais-MenosT062L2877.421.144.59ControleT062L2890.47-2.303.72Controle77.151.114.62Mdio90.44-3.244.12Mdio73.011.124.77Menos90.94-3.644.25Menos79.741.104.46Mais89.38-2.974.05Mais77.101.114.62Mais-Menos90.43-3.314.15Mais-MenosT126L2868.181.425.48ControleT126L2886.44-2.334.06Controle68.011.325.49Mdio86.04-3.324.49Mdio59.601.235.74Menos80.70-3.624.75Menos73.321.415.23Mais89.93-3.174.27Mais67.941.325.49Mais-Menos85.99-3.404.52Mais-MenosT170L4267.741.635.70ControleT170L4284.18-2.323.90ControleT254L6466.801.885.90ControleT254L6484.46-1.563.46Controle As figuras de 1 a 15 apresentam campos de anomalia das variveis no derivadas e campos totais de variveis derivadas dada disponibilidade da climatologia para estas variveis. Para o primeiro grupo a correlao apresentada de anomalias e para o segundo grupo e para o campo total, incluindo a climatologia. No so mostrados os resultados das resolues T042L28 e T170L42, porm apresentam resultados semelhantes s resolues T062L28 e T254L64, respectivamente. Nota-se que o modelo consegue reproduzir muito bem a regio da frente fria (31OS, 24OW) para todos os campos apresentados e subestima a regio do sistema de meso-escala (40OS, 48OW) principalmente para a altura geopotencial (figs. 1 a 3) e vento zonal na parte sul do sistema de meso-escala (figs. 7 a 9). Os campos de anomalia de temperatura (figs. 4 a 6) apresentam resultados semelhantes ao observado em ambas regies, sendo que a mdia dos membros d melhor localizao para o sistema de meso-escala. O vento meridional (figs. 10 a 12) localiza bem o sistema de meso-escala, porm com magnitude um pouco menor, j a gua precipitvel (figs 13 a 15) mostra bons resultados em ambas as regies, sendo que a mdia dos membros tem valores e localizao melhor definidas em relao ao controle. Em geral, h uma melhora significativa com o aumento da resoluo para todos os campos.  Fig. 1 Anomalia de altura geopotencial (m) para a resoluo T062L28.  Fig. 2 Anomalia de altura geopotencial (m) para a resoluo T126L28.  Fig. 3 Anomalia de altura geopotencial (m) para a resoluo T254L64.  Fig. 4 Anomalia de temperatura absoluta (K) para a resoluo T062L28.  Fig. 5 Anomalia de temperatura absoluta (K) para a resoluo T126L28.  Fig. 6 Anomalia de temperatura absoluta (K) para a resoluo T254L64.  Fig. 7 Anomalia de vento zonal (m/s) para a resoluo T062L28.  Fig. 8 Anomalia de vento zonal (m/s) para a resoluo T126L28.  Fig. 9 Anomalia de vento zonal (m/s) para a resoluo T254L64.  Fig. 10 Anomalia de vento meridional (m/s) para a resoluo T062L28.  Fig. 11 Anomalia de vento meridional (m/s) para a resoluo T126L28.  Fig. 12 Anomalia de vento meridional (m/s) para a resoluo T254L64.  Fig. 13 Anomalia de gua precipitvel (mm/dia) para a resoluo T062L28.  Fig. 14 Anomalia de gua precipitvel (mm/dia) para a resoluo T126L28.  Fig. 15 Anomalia de gua precipitvel (mm/dia) para a resoluo T254L64. Os campos derivados (no mostrados) tm boa simulao, porm nos campos de funo de corrente a baixa de meso-escala no se fecha na simulao e os campos de potencial de velocidade so em geral subestimados. Os campos de desvio padro apresentam em geral valores em torno de 10% do campo de ensemble mdio nas regies do sistema de meso-escala e na regio da frente fria, sendo menores em outras regies. Isto mostra que a previso destes sistemas tem uma variao entre os membros relativamente pequena neste caso sendo, portanto, a mdia uma boa estimativa do estado real da atmosfera. DISCUSSO E CONCLUSES Os resultados mostraram ndices estatsticos superiores na previso por ensemble, em comparao com previso determinstica nica, mesmo com resoluo maior. Um resultado que merece estudos posteriores refere-se a que se encontraram ndices estatsticos superiores considerando somente as perturbaes somadas condio inicial. Os resultados da alta resoluo em modo determinstico no foram superiores em ndices estatsticos em relao resoluo mais baixa na mdia dos membros, porm o detalhamento bem melhor e os valores dos ndices so comparveis. Uma vantagem do mtodo por conjuntos que permite atribuir uma probabilidade previso ao se fazer uma anlise de cluster. Os campos de anomalias mostram que a previso por conjuntos e o aumento de resoluo, em geral, melhora a intensidade e localizao principalmente para o sistema de meso-escala. Os campos de altura geopotencial e ventos, principalmente no seu setor sul, so subestimados na regio do sistema de meso-escala. Uma forma de melhorar este resultado seria melhorar a representao da fonte de calor simulada; isto possvel atravs de esquemas de conveco mais adequados para este tipo de fenmeno. REFERNCIAS BIBLIOGRFICAS Bonatti, J.P. Modelo de circulao geral do CPTEC. [on line]. Climanlise Especial 10 anos, 26, 5p., outubro de 1996. Bonatti J.P., Rao, V.B. Moist baroclinic instability of North Pacific and South American intermediate-scale disturbances. Journal of the Atmospheric Sciences, v. 44, p. 2657-2667, 1987. Coutinho, M.M. Previso por conjuntos utilizando perturbaes baseadas em componentes principais. So Jos dos Campos, SP, 1999, 136p. Dissertao (Mestrado em Meteorologia), Instituto Nacional de Pesquisas Espaciais, INPE. Daley, R., Mayer, T. Estimates of Global Analysis Error from the Global Weather Experiment Observational Network. Monthly Weather Review, v. 114, p. 1642-1653, 1986. Kinter, J.L. et al The COLA atmosphere-biosphere general circulation model Volume 1: Formulation. Center for Ocean-Land-Atmosphere Studies. Calverton, MA, COLA Staff, Report N.o 51, october 1997. Hoffman, R. N.; Kalnay, E. Lagged Average Forecasting, an Alternative to Monte Carlo Forecasting. Tellus, 35A (2): 100-118, 1983. Legler, D. M. Empirical orthogonal function analysis of wind vectors over the tropical pacific region. Bulletin of the American Meteorological Society, v. 64, n.3, p. 234-241, 1983. Lorenz, E. N. A study of the Predictability of a 28-Variable Atmospheric Model. Tellus, 17 (3): 321-333, 1965. Molteni, F.; Buizza, R.; Palmer, T. N.; Petroliagis, T. The ECMWF Ensemble Prediction System: Methodology and Validation. Quarterly Journal Royal Meteorological Society, 122: 73-119, 1996. Toth, Z.; Kalnay, E. Ensemble Forecasting at NMC: The Generation of Perturbations. Bulletin of the American Meteorological Society, 74 (12): 2317-2339, Dec. 1993. Zhang, Z. Hurricane Ensemble Prediction Using EOF-Based Perturbations. Florida. 171p. Ph.D. Dissertation Department of Meteorology, The Florida State University, 1997.  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