Even though the logratio methodology provides a range of both generic, mostly exploratory, and purpose-built coordinate representations of compositional data, simple pairwise logratios are preferred by many for multivariate analysis in the geochemical practice, principally because of their simpler interpretation. However, the logratio coordinate systems that incorporate them are predominantly oblique, resulting in both conceptual and practical problems. We propose a new approach, called backwards pivot coordinates, where each pairwise logratio is linked to one orthogonal coordinate system, and these systems are then used together to produce a concise output. In this work, principal component analysis and regression with compositional explanatory variables are used as primary methods to demonstrate the methodological and interpretative advantages of the proposal. In the applied part of this study, sediment compositions from the Jizera River, Czech Republic, were analysed using these techniques through backwards pivot coordinates. This allowed us to discuss grain size control of the element composition of sediments and clearly distinguish anthropogenically contaminated and uncontaminated strata in sediment depth profiles.

即使对数比值方法提供了组成数据的通用，多数为探索性和专用坐标表示的范围，但许多对地球化学实践中的多变量分析还是更喜欢简单的成对对数，这主要是因为它们的解释更简单。但是，包含它们的对数坐标系主要是倾斜的，从而导致概念上和实际上的问题。我们提出了一种新方法，称为向后枢轴坐标，其中每个成对的对数比都链接到一个正交坐标系，然后将这些系统一起使用以产生简洁的输出。在这项工作中，主成分分析和具有组成解释变量的回归被用作主要方法，以证明该建议书的方法论和解释优势。在本研究的应用部分中，使用这些技术通过向后的枢轴坐标分析了捷克共和国吉泽拉河的沉积物成分。这使我们能够讨论沉积物元素组成的粒度控制，并在沉积物深度剖面图中清楚地区分人为污染和未污染的地层。