论文标题
使用主组件分析将动态状态索引减少为其主要信息
Reducing the Dynamic State Index to its main information using Principal Component Analysis
论文作者
论文摘要
动态状态指数是一个标量量，旨在识别大气发展，例如前部，飓风或特定天气模式。 DSI定义为三维量的三维流体流量的雅各比确定的：Bernoulli流函数，潜在涡度（PV）和潜在温度。在这里，如果可以减少DSI的数学公式，同时保留主要信息，并且（ii）DSI的减少是否取决于空间量表，我们可以解决问题（i）吗？应用原理分析我们发现，总计到雅各比确定的六个DSI术语中有三个足以进行将来的DSI计算。
The Dynamic State Index is a scalar quantity designed to identify atmospheric developments such as fronts, hurricanes or specific weather pattern. The DSI is defined as Jacobian-determinant of three constitutive quantities that characterize three-dimensional fluid flows: the Bernoulli stream function, the potential vorticity (PV) and the potential temperature. Here, we tackle the questions (i) if the mathematical formulation of the DSI can be reduced, while keeping the main information, and (ii) does the reduction of the DSI depend on the spatial scale? Applying principle component analysis we find that three of six DSI terms that sum up to the Jacobi-determinant are sufficient for future DSI calculations.
