Unmixing grain-size distributions in lake sediments: a new method of endmember modeling using hierarchical clustering

Unmixing grain-size distributions in lake sediments: a new method of endmember modeling using hierarchical clustering
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分解湖泊沉积物中的粒度分布:使用层次聚类进行端元建模的新方法

DOI:
10.1017/qua.2017.78
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发表时间:
2017-10
影响因子:
2.3
通讯作者:
Chen Fahu
Chen Fahu
中科院分区:
地球科学3区
文献类型:
--
作者:
Zhang Xiaonan;Zhou Aifeng;Wang Xin;Song Mu;Zhao Yongtao;Xie Haichao;Jame Russel;Chen Fahu

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摘要沉积物的粒度分布提供了沉积物物源、搬运过程和沉积环境的信息。虽然已采用各种统计参数来概括全球定义数据,但大多数参数仅针对分布的一部分,这限制了可检索的环境信息量。端元建模提供了一种灵活的方法,用于解混GSD;然而,端元和地质意义的端元光谱的确切数目的计算仍然未解决使用现有的建模方法。在这里,我们提出了分层聚类端元建模分析(CEMMA)的方法来分解沉积物的GSD。在CEMMA框架内,端元的数量可以推断从团聚系数,和端元的粒度谱的基础上定义的样品之间的平均距离在集群。在客观地定义粒度端元后,我们使用最小二乘算法来计算每个GSD端元对单个样品的贡献。为了检验CEMMA方法,我们使用的粒度数据集,从沉积物的岩心在准噶尔盆地乌伦古湖在中国,发现应用CEMMA方法产生地质和数学上有意义的结果。CEMMA是一种快速、灵活的沉积物GSD分析方法。
Abstract The grain-size distribution (GSD) of sediments provides information on sediment provenance, transport processes, and the sedimentary environment. Although a wide range of statistical parameters have been applied to summarize GSDs, most are directed at only parts of the distribution, which limits the amount of environmental information that can be retrieved. Endmember modeling provides a flexible method for unmixing GSDs; however, the calculation of the exact number of endmembers and geologically meaningful endmember spectra remain unresolved using existing modeling methods. Here we present the methodology hierarchical clustering endmember modeling analysis (CEMMA) for unmixing the GSDs of sediments. Within the CEMMA framework, the number of endmembers can be inferred from agglomeration coefficients, and the grain-size spectra of endmembers are defined on the basis of the average distance between the samples in the clusters. After objectively defining grain-size endmembers, we use a least squares algorithm to calculate the fractions of each GSD endmember that contributes to individual samples. To test the CEMMA method, we use a grain-size data set from a sediment core from Wulungu Lake in the Junggar Basin in China, and find that application of the CEMMA methodology yields geologically and mathematically meaningful results. We conclude that CEMMA is a rapid and flexible approach for analyzing the GSDs of sediments.
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