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Correlation fractal analysis and R/S analysis of four indexes from Core TS95, Tianshuihai Lake, western Tibetan Plateau, FeO, Fe 2O 3, the ratio of Fe 2O 3/FeO, and organic carbon, are conducted. It is found obviously that the 4 time series are chaotic and have Hurst phenomena. The chaotic or abnormal attractors for FeO, Fe 2O 3, Fe 2O 3/FeO and organic carbon are 2.8, 3.2, 2.9 and 2.5 respectively with saturated embedded dimensions ranging from 5 to 6, suggesting that the dynamic system controlling the local climatic and environmental evolution is chaotic. It has definte variables. To establish the system, at least 3 to 4 variables, at most 5-6 variables, are needed. This generally agrees with deep sea oxygen isotope and differs by large from some climatic indexes of loess profiles. The Hurst indexes of the four proxies are FeO 0.85, Fe 2O 3 0.76, Fe 2O 3/FeO 0.65 and organic carbon 0.74 respectively, indicating that they have obviously long run dependence persistence. This is in accordance with previous studies [13-15] . The persistence results most probably from the uplift of Tibetan Plateau. This suggests that in addition to the global vacillation of climate and environment, some local factors such as the uplift of Tibetan Plateau and the change in Tianshuihai Lake drain age, have probably played a role on the proxies of climate and environment. The differences between the four Hurst indexes result possibly from the relatively easy migration of FeO that is influenced by the hydrological change of the drainage. The organic carbon and Fe 2O 3, the two of the four, are probably more suitable to extract the persistence component of environmental evolution.