Hierarchical Linear Model of Monthly Rainfall with Regional and Seasonal Interaction Effects
- 1 Mathematics and physics department of North China Electric Power University, Beijing, China
- 2 Mathematics and physics department of North China Electric Power University, Beijing, China
- 3 Information Engineering Department of Huazhong University of Science and Technology, Wuhan, China
Abstract
According to the hierarchical characteristics of monthly rainfall in different regions, the paper takes the geographical factors and seasonal factors into the hierarchical linear model as the level effect. Through clustering methods we select two more representative regional meteorological data. W e establish three-layer model by transforming the interactive structure date into nested structure data. According the model theory we perform the corresponding model calculations, optimization and analysis, accordingly to interpret the level effects, and residual test. The results show that most of the difference in Monthly Rainfall w as respectively explained by Variables (Meteorological factors, seasonal effects, geographic effects) in different levels.
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