Based on the statistical data of grain per capita in Dongchuan city from 1964 to 1995,the time-series imbedding space is rebuilt, the time-series fractal characteristics are investigated, and the average predictable years is calculated. The results show that the temporal distribution of grain per capita in Dongchuan city has fractal characteristics; this time-series is a chaotic series; its saturated correlative dimension is 3.1631; the effective degree of freedom (DOF) is 8;and the average predictable years is no more than 27 to 28 years. The obtained conclusions provide a scientific basis fo...