基于粒度组成数学变换方法的海底沉积物类型图编制——以长江口-东海陆架为例

Seabed sediment-type mapping based on mathematical transformations of grain-size composition: A case study of the Yangtze River Estuary–East China Sea Shelf

  • 摘要: 针对当前沉积物类型制图中存在的不足,为实现沉积物组成的无偏地质统计学推断,本文基于长江口-东海陆架约3200个表层沉积物的粒度组成数据,改进并验证了一套“先组成、后定类”的规范制图流程,即对砂-粉砂-黏土百分比数据进行加性对数比(ALR)变换,继而采用经验贝叶斯克里金(EBK)插值,并通过蒙特卡洛(MC)无偏回变换恢复组分的连续空间分布,最后依据Folk图解逐像元定类,绘制后验平均概率类型图和最大概率类型图。该流程可同步输出最大概率( P_\max )、概率差( \delta P )与归一化熵( \mathit\mathrm\mathitH_\mathrmn )等不确定性诊断指标。结果表明,该方法天然满足非负与闭合约束,所得类型图空间过渡平滑,诊断指标呈现高度空间一致,既能准确圈定可信类型区,又可识别需进一步优化的低置信区。本方法支持快速重映射至不同管理层级,为海洋资源勘查与环境管理提供技术支撑。

     

    Abstract: To address current limitations in sediment-type mapping and to achieve unbiased geostatistical inference of sediment composition, we developed and validated a standardized “Composition-Classification” mapping workflow based on grain-size composition data from about 3200 surface sediment samples taken from the Yangtze River Estuary–East China Sea shelf. The sand-silt-clay percentage data were transformed first using the additive log-ratio (ALR) transformation, followed by empirical Bayesian kriging (EBK) interpolation in the transformed space. An unbiased Monte Carlo (MC) back-transformation was then applied to recover the continuous spatial distribution of each component. At last, Folk’s classification scheme was used on a cell-by-cell basis to produce posterior mean-probability and maximum-probability sediment-type maps. The workflow simultaneously outputs several diagnostic measures of uncertainty, including maximum class probability, probability difference (ΔP) and normalized entropy (Hn). Results show that the method could inherently satisfy non-negativity and closure constraints, and yield sediment-type maps with smooth spatial transitions and highly consistent spatial patterns in the diagnostic indices. Meanwhile, it robustly delineated high-confidence areas while identified low-confidence zones that require further optimization. The proposed method also supported rapid remapping to different management units, providing a technical support for marine resource exploration and environmental management.

     

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