Abstract: A climatic time series consists of many time scales, the climatic hierarchy of different scales can be constructed. Whether colding or warming climate will depend time scales. It is shown that the numbers of climatic jump pointare approximately according to Fibonacci sequssces with scale hicrarchy. There exists a scaling invariance. Because the colding and warming hierarchical structure of climate records is self-similar, then a dynamical system which leaves climatic scaling invariance can be uncovered from the time scale arrangement of its wavelet transformextrma. The dynamical system denots evolutional laws of climatic jump time and hierarchical structure of climatic series.