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On the significance of δ~(13)C correlations in ancient sediments

机译:古代沉积物中δ〜(13)C相关性的意义

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A graphical analysis of the correlations between δ_c and ε_(TOC) was introduced by Rothman et al. (2003) to obtain estimates of the carbon isotopic composition of inputs to the oceans and the organic carbon burial fraction. Applied to Cenozoic data, the method agrees with independent estimates, but with Neoproterozoic data the method yields results that cannot be accommodated with standard models of sedimentary carbon isotope mass balance. We explore the sensitivity of the graphical correlation method and find that the variance ratio between δ_c and δ_o is an important control on the correlation of δ_c and ε. If the variance ratio σ_c/σ_o≥1 highly correlated arrays very similar to those obtained from the data are produced from independent random variables. The Neoproterozoic data shows such variance patterns, and the regression parameters for the Neoproterozoic data are statistically indistinguishable from the randomized model at the 95% confidence interval. The projection of the data into δ_c-ε space cannot distinguish between signal and noise, such as post-depositional alteration, under these circumstances. There appears to be no need to invoke unusual carbon cycle dynamics to explain the Neoproterozoic δ_c-ε array. The Cenozoic data have σ_c/σ_o<1 and the δ_c vs. ε correlation is probably geologically significant, but the analyzed sample size is too small to yield statistically significant results.
机译:Rothman等人介绍了δ_c和ε_(TOC)之间的相关性的图形分析。 (2003年)获得对海洋输入的碳同位素组成和有机碳埋藏分数的估计。该方法适用于新生代数据,与独立估计值吻合,但对于新元古代数据,该方法得出的结果无法用沉积碳同位素质量平衡的标准模型来适应。我们探索了图形相关方法的敏感性,发现δ_c和δ_o之间的方差比是控制δ_c和ε相关性的重要控制。如果方差比σ_c/σ_o≥1,则由独立随机变量生成与从数据中获得的数组非常相似的高度相关的数组。新元古代数据显示了这种方差模式,并且新元古代数据的回归参数与随机模型在95%置信区间上在统计上没有区别。在这种情况下,将数据投影到δ_c-ε空间无法区分信号和噪声,例如沉积后的变化。似乎没有必要调用异常的碳循环动力学来解释新元古代的δ_c-ε阵列。新生代数据具有σ_c/σ_o<1,并且δ_c与ε的相关性在地质上可能很重要,但所分析的样本量太小而无法产生具有统计意义的结果。

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