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《Chinese Journal of Atmospheric Sciences》 1982-04
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STATISTICAL FORECASTING OF THE HORIZONTAL DISTRIBUTION OF METEOROLOGICAL ELEMENTS (1)——Forecast of the Distribution of Precipitation over Middle and Lower Reaches of the Changjiang River

Zhou Jia-bin(Institute of Atmospheric Physics, Aeademia Sinica)  
Previous investigations on the application of Chebyshev polynomials in meteorology deal with only the expansion in equidistant grids. By introducing a nonlinear transformation, Chebyshev polynomials are generalized into irregular grids by the author. This transformation is accomplished by replacing the independent variables with thier ordinal numbers.Thirty observational stations over middle and lower reaches of the Changjiang (Yangtze) Eiver are selected. Two dimensional ordinal numbers (ξ1,ξ2) are assigned to each station (see Fig. 1 in the text). The distribution of monthly rainfall are expanded by using the expression,where EH denotes the monthly rainfall at the station (i,j). (i, j) are the 2-dimen-sional ordinal of the station, φk(i) φa,(j) normalized Chebyshev polynomials, k and s the orders of the polynomials, Aks,(R) the expansion coefficients, and K0 and 8, the truncation orders of expression (1).The distribution of monthly mean sea surface temperature (SST) is expanded in terms of Chebyshev polynomials to extract its main characteristics. By using expansion coefficients of SST as predictors and that of precipitation as predictands, a series of prediction Eqs. for coefficients Aka(R) are established (e.g. expression (4) in the text). The forecast of Rij can then be evaluated from expression (1).The obtained results indicate that the distribution of precipitation may be fitted reasonably with the method proposed in this paper. For instance, the flood in June, 1954 and drought in June, 1958 over middle and lower reaches of the Changjiang River are fitted satisfactorily. The fittings (Fig. 4(a) and 5(a)) are quite close to the observations (Fig. 4(b) and 5(b)).Finally, it is worth to point out that Chebyshev polynomials do not vary with time and they are suitable for predicting horizontal distribution of meteorological elements.
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【References】
Chinese Journal Full-text Database 10 Hits
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【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 Yu Shuhua Luo Hong Rui Liangsheng (The Institute of Meteorology, Sichuan Province);A QUANTITATIVE ANALYSIS ON THE EVOLUTION OF 500hpa CIRCULATION OF TREMENDOUSLY HEAVY RAIN IN UPPER REACHES OF THE YANGTZE RIVER[J];;1990-01
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5 Ding Yuguo Shi Neng(Nanjing Institute of Meteorology, Nanjing, 210044);Research on Convergence of the Eigenvalues for the EOFs Expansion of Meteorological Field Among Different Schemes[J];Chinese Journal of Atmospheric Sciences;1992-04
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7 JIN YIMING(Zhejiang Meteorological Institute);A STUDY ON THE CORRESPONDENCE FACTOR ANALYSIS OF THE SEA SURFACE TEMPERATURE OF THE NORTHWEST PACIFIC OCEAN AND TYPHOON TRACKS OF THE EAST CHINA SEA[J];Marine Science Bulletin;1983-01
8 Zhou Jiabin ( Institute of Atmospheric Physics, Academia Sinica );Use Chebyshev Polynomials in Irregular Grids to Forecast Precipitation Distribution over the Middle and Lower Reaches of the Changjiang River[J];JOURNAL OF HANGZHOU UNIVERSITY(NATURE SCIENCE);1985-01
9 Xie Jiongguang Zeng Cong Ji Zhongping (Meteorological Observatory of Guangclong Province, GuangZhou 510080,China);STATISTICAL FORECAST OF METEOROLOGY FOR THE LAST 30 YEARS IN CHIAN[J];;2003-02
10 Zhu Shengming (Institute of Meteorology, Jaingsu Province);ON THE RECENT ADVANCE OF MULTIVARIATE ANALYSIS APPLIED OF METEOROLOGY[J];Scientia Meteorologica Sinica;1982-Z1
【Co-references】
Chinese Journal Full-text Database 10 Hits
1 Gong Gaofa, Chen Enjiu and Wen Huanran (Institute of Geography, Academia Sinica);THE CLIMATIC FLUCTUATIONS IN THE HEILONGJIANG PROVINCE, CHINA[J];Acta Geographica Sinica;1979-02
2 Yao Zhen-sheng (Department of Meteorology, Nanjing University);THE FITTING OF AUTOREGRESSIVE MODEL[J];Chinese Journal of Atmospheric Sciences;1982-04
3 Zhou Jiabin(Institute of Atmospheric Physics, Academia Sinica);ON THE EXPANSION OF CHEBYSHEV POLYNOMIALS IN IRREGULAR GRIDS[J];Chinese Journal of Atmospheric Sciences;1983-03
4 Zhou Jiabin ( Institute of Atmospheric Physics, Academia Sinica );Use Chebyshev Polynomials in Irregular Grids to Forecast Precipitation Distribution over the Middle and Lower Reaches of the Changjiang River[J];JOURNAL OF HANGZHOU UNIVERSITY(NATURE SCIENCE);1985-01
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Chinese Journal Full-text Database 10 Hits
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9 WANG Bing, WANG Zhi hua (Department of Earth Science,Yunnan University,Kunming 650091,China)$$$$;Forecasling Precipitation Distribution with Chebyshev Polynomials[J];JOURNAL OF YUNNAN UNIVERSITY (NATURAL SCIENCES);1999-05
10 WANG Bing, HAI Yun sha (Department of Earth Science,Yunnan University,Kunming 650091,China);Forecasting the Precipitation Distribution of Southwest of China with Chebyshev Polynomials[J];Journal of Yunnan University (Natural Sciences);2001-04
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