Time Series Fractal Compar ison and Its Sign if icance of the Gra in-Size Fractal Dimensions and Climatic Proxy from Core 69 in the Eastern South China Sea

ZHANG Wei-yan; ZHANG Fu-yuan; ZHANG Wei-de; LU Bing; YANG Ke-hong; ZHAO Guo-jun

The grain size of samp les from sediment Core 69 in the Eastern South China Sea has been measured.Based on the fractal theory, the fractal dimension (D_S) of the grain-size has been calculated. Results show that the grain - size distribution has fractal characteristics. Since late Pleistocene, the D_S values of Core 69 in the Eastern South China Sea are 1.72-2.20,with an average of 1.84, Meanwhile, the D_S values are different from the same core in the glacial and post glacial stage. The D_S value is 1.88 and its variation is frequent during stage 1 of the oxygen isotope stratigraphy. The DS value is 1.81 and its variation is infrequent during stage 2 of the oxygen isotope stratigraphy. That is , the high value ofDS is related to the high paleotemperature but the low value of D_S is related to the low paleotemperature. The fractal dimension (D_S) of grain-size is considered as an important proxy describing paleoenvironment variations recorded from sediments. R /S analysis on the curves of the fractal dimension of the grain-size , paleotemperature of Uk37 values, δ¹⁸O ratios andδ¹³ C ratios , sea surface temperature in winter and summer, seasonal variability of sea surface temperature between winter and summer, CaCO₃ content and SiO₂ content yields time series fractal dimensions (D_H) of 1.2855, 1.1712, 1.2659, 1.4244, 1.2719, 1.2214, 1.2979, 1.1366, 1.1609 respectively. Although these climatic data were measured in different physical units and different time scales, fractal analysis allows for a mathematical comparison of them. Among them , the time series fractal dimension of seasonal variability of sea surface temperature is close to that of the fractal dimensions of grain-size. These show that the fractal dimensions of grain-size reveal climatic variability. Based on the grain-size fractal dimensions and climatic proxy, four abrupt climate events have been revealed during the Holocene.

Time Series Fractal Compar ison and Its Sign if icance of the Gra in-Size Fractal Dimensions and Climatic Proxy from Core 69 in the Eastern South China Sea

1. Institute of Mathematic Geology and Remote Sensing Geology,China University of Geosciences,Wuhan 430074;

2. Second institute of Oceanography,SOA, Key Lab of Submarine Science, SOA, Hangzhou 310012;

3. Shaoxing Electric Power Bureau, Shaoxing Zhejiang 312000;

4. Water Conservancy and Hydropower Survey and Design Institute of Zhejiang Province, Hangzhou 310002

Received Date: 2004-08-30

Rev Recd Date: 2005-05-25

Publish Date: 2005-12-10

Key words:

Abstract: The grain size of samp les from sediment Core 69 in the Eastern South China Sea has been measured.Based on the fractal theory, the fractal dimension (D_S) of the grain-size has been calculated. Results show that the grain - size distribution has fractal characteristics. Since late Pleistocene, the D_S values of Core 69 in the Eastern South China Sea are 1.72-2.20,with an average of 1.84, Meanwhile, the D_S values are different from the same core in the glacial and post glacial stage. The D_S value is 1.88 and its variation is frequent during stage 1 of the oxygen isotope stratigraphy. The DS value is 1.81 and its variation is infrequent during stage 2 of the oxygen isotope stratigraphy. That is , the high value ofDS is related to the high paleotemperature but the low value of D_S is related to the low paleotemperature. The fractal dimension (D_S) of grain-size is considered as an important proxy describing paleoenvironment variations recorded from sediments. R /S analysis on the curves of the fractal dimension of the grain-size , paleotemperature of Uk37 values, δ¹⁸O ratios andδ¹³ C ratios , sea surface temperature in winter and summer, seasonal variability of sea surface temperature between winter and summer, CaCO₃ content and SiO₂ content yields time series fractal dimensions (D_H) of 1.2855, 1.1712, 1.2659, 1.4244, 1.2719, 1.2214, 1.2979, 1.1366, 1.1609 respectively. Although these climatic data were measured in different physical units and different time scales, fractal analysis allows for a mathematical comparison of them. Among them , the time series fractal dimension of seasonal variability of sea surface temperature is close to that of the fractal dimensions of grain-size. These show that the fractal dimensions of grain-size reveal climatic variability. Based on the grain-size fractal dimensions and climatic proxy, four abrupt climate events have been revealed during the Holocene.

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Time Series Fractal Compar ison and Its Sign if icance of the Gra in-Size Fractal Dimensions and Climatic Proxy from Core 69 in the Eastern South China Sea

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