近百年中国、北半球和南半球气温内在结构比较(I)

THE COMPARISON FOR TEMPERATURE HIERARCHY STRUCTURE IN THE PAST 100 YEARS AMONG CHINA, NORTH HEMISPHERE AND SOUTH HEMISPHERE(I)

气温气候资料是一个含有月、年、十年、百年等时间尺度的分形客体．大尺度上是冷暖之分，而每个冷（或暖）又分为较小尺度上的冷暖，形成层次结构．利用它的子波变换的尺度α－时间位置ｔ０表述，可以构造出分段线性一维映射动力系统，这个映射表征气候的层次结构，反映气候变化的突变点时间位置的规律和标度不变性．文中讨论了构造一维动力映射的基本原理，并以中国气温为例进行了验证．

The recent century climate temperature data in China is a fractal object containing various time scales, such as month, year, decade and century. At a large scale, it has two states: cold and warm, and each cold state (or warm state) goes to cold and warm states at a smaller scale, ……, which form the special hierarchy structure. Using the wavelet analysis, with its scale time position one dimensional mapping dynamic system could be constructed. This map implies the strcture of the climate in China and indicates the law of the abrupt point time position and the scale invariance.The basic theory of constructing the 1 D map is discussed,and an example of temperature in China for checking the theory is given.