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DOI10.1007/s11004-015-9611-0
BEMMA: A Hierarchical Bayesian End-Member Modeling Analysis of Sediment Grain-Size Distributions
Yu, Shi-Yong1,2; Colman, Steven M.2; Li, Linxiong3
通讯作者Yu, Shi-Yong
来源期刊MATHEMATICAL GEOSCIENCES
ISSN1874-8961
EISSN1874-8953
出版年2016
卷号48期号:6页码:723-741
英文摘要

Sediment grain-size distributions provide rich information about sedimentary dynamics and potentially about environmental and climatic changes. However, entrainment, transport, and deposition, as a sequence of sorting process, modify original grain-size distributions of source materials, thereby resulting in complex distribution forms that are commonly multimodal and asymmetrical. However, neither traditional descriptive statistics nor curving fitting methods are able to address this complexity fully. End-member modeling analysis, essentially based on polytope expansion, stands out as a flexible and robust method for the unmixing of sediment grain-size distributions. Yet there are still several key issues that remain unresolved. Here a hierarchical Bayesian end-member modeling analysis of grain-size distributions, fully subject to the non-negative and unit-sum constraints on the distributions, is presented. Within the Bayesian framework, the number of end members, as well as the end-member spectra and fractions can be inferred sequentially using a reversible-jump Markov chain Monte Carlo algorithm in conjunction with Gibbs samplers. Test runs using both a synthetic and a real-world dataset from a small playa located on the southern margin of the Badain Jaran Desert, NW China, reveal that this model can yield geologically meaningful and mathematically optimal outputs, thereby providing a necessary complement and powerful alternative to the existing deterministic methods.


英文关键词Sediment transport Grain-size distribution End member Unmixing Markov chain Monte Carlo
类型Article
语种英语
国家Peoples R China ; USA
收录类别SCI-E
WOS记录号WOS:000379554800005
WOS关键词LAKE DONGGI CONA ; COMPOSITIONAL DATA ; POLYMODAL SEDIMENTS ; TIBETAN PLATEAU ; LOGRATIO TRANSFORMATION ; TRANSPORT ; CHINA ; ENVIRONMENTS ; VARIABILITY ; SENSITIVITY
WOS类目Geosciences, Multidisciplinary ; Mathematics, Interdisciplinary Applications
WOS研究方向Geology ; Mathematics
来源机构兰州大学
资源类型期刊论文
条目标识符http://119.78.100.177/qdio/handle/2XILL650/195027
作者单位1.Lanzhou Univ, MOE Key Lab Western Chinas Environm Syst, Lanzhou 730000, Peoples R China;
2.Univ Minnesota Duluth, Large Lakes Observ, 2205 East 5th St, Duluth, MN 55812 USA;
3.Univ New Orleans, Dept Math, 2000 Lakeshore Dr, New Orleans, LA 70148 USA
推荐引用方式
GB/T 7714
Yu, Shi-Yong,Colman, Steven M.,Li, Linxiong. BEMMA: A Hierarchical Bayesian End-Member Modeling Analysis of Sediment Grain-Size Distributions[J]. 兰州大学,2016,48(6):723-741.
APA Yu, Shi-Yong,Colman, Steven M.,&Li, Linxiong.(2016).BEMMA: A Hierarchical Bayesian End-Member Modeling Analysis of Sediment Grain-Size Distributions.MATHEMATICAL GEOSCIENCES,48(6),723-741.
MLA Yu, Shi-Yong,et al."BEMMA: A Hierarchical Bayesian End-Member Modeling Analysis of Sediment Grain-Size Distributions".MATHEMATICAL GEOSCIENCES 48.6(2016):723-741.
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