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Volume 3 Issue 1

Jan.  1986

Article Contents

QUADRATIC DISCRIMINATION THROUGH ORTHOGONAL TRANSFORMATION AND ITS APPLICATION TO LONG-RANGE FORECASTING OF DROUGHT AND EXCESSIVE RAINFALL


doi: 10.1007/BF02680051

  • The method of quadratic discrimination through orthogonal transformation is introduced to optimize quadratic discriminant function, which has been proved more effective than the method of stepwise multiple discrimination. It is noteworthy that, in the case of a large number of predictors, it is better to make a preliminary choice by using stepwise multiple discrimination or stepwise regression so that the calculation can be made more stable and the effectiveness of discrimination can be improved.
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    [2] Guo Yufu, Chao Jiping, 1984: SIMPLIFIED DYNAMICAL ANOMALY MODEL FOR LONG-RANGE NUMERICAL FORECASTS, ADVANCES IN ATMOSPHERIC SCIENCES, 1, 30-52.  doi: 10.1007/BF03187614
    [3] Shao Demin, Zhang Wei, Shen Aihua, Cheng Xueqing, Fu Zhemin, He Zhenzhen, 1992: An Analysis of the Air Parcel Trajectories of Long-Range Transport at Shanghai, ADVANCES IN ATMOSPHERIC SCIENCES, 9, 346-350.  doi: 10.1007/BF02656944
    [4] Zhenxi ZHANG, Wen ZHOU, Mark WENIG, Liangui YANG, 2017: Impact of Long-range Desert Dust Transport on Hydrometeor Formation over Coastal East Asia, ADVANCES IN ATMOSPHERIC SCIENCES, 34, 101-115.  doi: 10.1007/s00376-016-6157-0
    [5] Zhao Shengju, Zhou Chaodong, 1986: MODELS FOR MEDIUM- AND LONG-RANGE FORECAST-ING OF THE AMOUNT OF MIGRATION OF FIRST-GENERATION MOTHS INTO THE OUTBREAKING AREA OF THE SECOND- GENERATION ARMYWORM, ADVANCES IN ATMOSPHERIC SCIENCES, 3, 379-384.  doi: 10.1007/BF02678658
    [6] John ABBOT, Jennifer MAROHASY, 2012: Application of Artificial Neural Networks to Rainfall Forecasting in Queensland, Australia, ADVANCES IN ATMOSPHERIC SCIENCES, 29, 717-730.  doi: 10.1007/s00376-012-1259-9
    [7] Jin Long, LuoYing, Lin Zhenshan, 1997: Comparison of Long-Term Forecasting of June-August Rainfall over Changjiang-Huaihe Valley, ADVANCES IN ATMOSPHERIC SCIENCES, 14, 87-92.  doi: 10.1007/s00376-997-0047-4
    [8] HUANG Yanyan, XUE Jishan, WAN Qilin, CHEN Zitong, DING Weiyu, ZHANG Chengzhong, 2013: Improvement of the Surface Pressure Operator in GRAPES and Its Application in Precipitation Forecasting in South China, ADVANCES IN ATMOSPHERIC SCIENCES, 30, 354-366.  doi: 10.1007/s00376-012-1270-1
    [9] GAO Shouting, TAN Zhemin, ZHAO Sixiong, LUO Zhexian, LU Hancheng, WANG Donghai, CUI Chunguang, CUI Xiaopeng, SUN Jianhua, 2015: Mesoscale Dynamics and Its Application in Torrential Rainfall Systems in China, ADVANCES IN ATMOSPHERIC SCIENCES, 32, 192-205.  doi: 10.1007/s00376-014-0005-x
    [10] ZHAO Deming, SU Bingkai, ZHAO Ming, 2006: Soil Moisture Retrieval from Satellite Images and Its Application to Heavy Rainfall Simulation in Eastern China, ADVANCES IN ATMOSPHERIC SCIENCES, 23, 299-316.  doi: 10.1007/s00376-006-0299-4
    [11] Shi Jiuen, Zhou Qinfang, Xiang Jingtian, 1986: AN APPLICATION OF THE THRESHOLD AUTOREGRESSION PROCEDURE TO CLIMATE ANALYSIS AND FORECASTING, ADVANCES IN ATMOSPHERIC SCIENCES, 3, 134-138.  doi: 10.1007/BF02680052
    [12] Jiaqi Zheng, Qing Ling, Jia Li, Yerong Feng, 2023: Improving Short-Range Precipitation Forecast of Numerical Weather Prediction Through a Deep Learning-Based Mask Approach, ADVANCES IN ATMOSPHERIC SCIENCES.  doi: 10.1007/s00376-023-3085-7
    [13] He Jianzhong, 1994: Nonlinear Ultra-Long Wave and Its Stability, ADVANCES IN ATMOSPHERIC SCIENCES, 11, 91-100.  doi: 10.1007/BF02656998
    [14] YANG Shuai, GAO Shouting, LU Chungu, 2014: A Generalized Frontogenesis Function and Its Application, ADVANCES IN ATMOSPHERIC SCIENCES, 31, 1065-1078.  doi: 10.1007/s00376-014-3228-y
    [15] Zhang Jijia, Chen Xingfang, 1987: THE OPERATIONAL SEASONAL FORECASTING OF THE SUMMER RAINFALL IN CHINA, ADVANCES IN ATMOSPHERIC SCIENCES, 4, 349-362.  doi: 10.1007/BF02663605
    [16] Jin FENG, Min CHEN, Yanjie LI, Jiqin ZHONG, 2021: An Implementation of Full Cycle Strategy Using Dynamic Blending for Rapid Refresh Short-range Weather Forecasting in China, ADVANCES IN ATMOSPHERIC SCIENCES, 38, 943-956.  doi: 10.1007/s00376-021-0316-7
    [17] Chunxiang LI, Guokun DAI, Mu MU, Zhe HAN, Xueying MA, Zhina JIANG, Jiayu ZHENG, Mengbin ZHU, 2023: Influence of Arctic Sea-ice Concentration on Extended-range Forecasting of Cold Events in East Asia, ADVANCES IN ATMOSPHERIC SCIENCES, 40, 2224-2241.  doi: 10.1007/s00376-023-3010-0
    [18] Zhou Jiabin, Wang Yunkuan, Yang Guiying, Wu Jinsheng, 1994: A Forecasting Model of Vector Similarity in Phase Space for Flood and Drought over the Huanghe-Huaihe-Haihe Plain in China, ADVANCES IN ATMOSPHERIC SCIENCES, 11, 224-229.  doi: 10.1007/BF02666548
    [19] Xiong Anyuan, Wu Yijin, Cai Shuming, 1999: Reconstruction of the Rainfall in Rainy Season Based on Historical Drought/ Flood Grades, ADVANCES IN ATMOSPHERIC SCIENCES, 16, 147-153.  doi: 10.1007/s00376-999-0010-7
    [20] Qiu Jinhuan, 1986: AN APPROXIMATE EXPRESSION OF THE SKY RADIANCE IN ALMUCANTAR AND ITS APPLICATION, ADVANCES IN ATMOSPHERIC SCIENCES, 3, 1-9.  doi: 10.1007/BF02680041

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Manuscript History

Manuscript received: 10 January 1986
Manuscript revised: 10 January 1986
通讯作者: 陈斌, bchen63@163.com
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QUADRATIC DISCRIMINATION THROUGH ORTHOGONAL TRANSFORMATION AND ITS APPLICATION TO LONG-RANGE FORECASTING OF DROUGHT AND EXCESSIVE RAINFALL

  • 1. Nanjing Institute of Meteorology, Nanjing,Nanjing Agricultural University, Nanjing

Abstract: The method of quadratic discrimination through orthogonal transformation is introduced to optimize quadratic discriminant function, which has been proved more effective than the method of stepwise multiple discrimination. It is noteworthy that, in the case of a large number of predictors, it is better to make a preliminary choice by using stepwise multiple discrimination or stepwise regression so that the calculation can be made more stable and the effectiveness of discrimination can be improved.

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