Abstract:

The 0-1 test is a new binary test to decide the regular or chaotic motions，which is applied directly to time series data and does not require phase space reconstruction. It is proved to be an effective test after test for chaos of Chebyshev map. The 0-1 test was carried out on monthly precipitation time series from 1958 to 2011 of 640 meteorological stations of China, and the density-based spatial clustering algorithm considering both spatial proximity and attribute similarity (DBSC) was used to perform spatial clustering. It is showed that monthly precipitation time series of all stations are chaotic, further more, the spatial distribution of K shows significant characteristic with spatial variability. In the large-scale, the country can be divided into four sub-regions, that are northwest with the highest K value, southern with the second highest, north and northeast with median and Qingzang district with the lowest. In the small-scale, 29 spatial clusters are found considering both spatial location and chaos degrees. The chaotic spatial clustering results not only coincide with the large-scale distributions of climate types, but also reflect the local variation of precipitation systems, which provides a new approach and methodology to study the temporal and spatial variation of precipitation systems.

Key words: precipitation, chaos, 0-1 test, DBSC algorithm, China