Research on the Relationships Between Rainfall and Meteorological Yield in Irrigation District

Rainfall and grain yield are two closely related random variables to be worthy of studying. The meteorological yield explains the influences of weather changes on grain yield. Based on the data series from 1980 to 2006 in Jinghuiqu irrigation district of Shaanxi Province in China, the meteorological yield is achieved from grain yield. Then, the empirical mode decomposition method is applied to analyze fluctuating periods and local features of rainfall and meteorological yield. Meanwhile, the copula method is introduced into describe the joint probability distribution of rainfall and meteorological yield. The studied results show that rainfall and meteorological yield exist vary fluctuation periods with multi-time scales, including 2 to 4 years of short period level, 4 to 6 (or 7) years of middle period level and 19 (or 10 to 11) years of long period level. Using the frank copula method, the bivariate distribution and return period of rainfall and meteorological yield was successfully developed to reveal the encounter risk of their different magnitudes. Finally, similarly with rainfall and meteorological yield, the complex changes and fluctuation periods are also proven to be existed in their joint probability.