A diagram for evaluating multiple aspects of model performance in simulating vector fields

A diagram for evaluating multiple aspects of model performance in simulating vector fields
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用于评估模拟矢量场中模型性能的多个方面的图

DOI:
10.5194/gmd-9-4365-2016
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发表时间:
2016-12
影响因子:
5.1
通讯作者:
Guo Weidong
Guo Weidong
中科院分区:
地球科学2区
文献类型:
--
作者:
Xu Zhongfeng;Hou Zhaolu;Han Ying;Guo Weidong

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抽象的。矢量,例如,矢量风在气候系统中发挥着极其重要的作用。不同地区之间的能量和水分交换主要受风的影响,而风又反过来塑造了区域气候。因此,气候模式模拟矢量场的能力直接影响到模式再现区域气候性质的性能。本文设计了一种新的图,称为矢量场评估(VFE)图,这是一个广义的泰勒图,能够提供一个简洁的评估模型性能模拟矢量场。该图可以测量两个向量场在三个统计变量方面彼此匹配的程度,即,向量相似系数、均方根长度(RMSL)和均方根向量差(RMSVD)。与泰勒图类似,VFE图对评估气候模式特别有用。两个向量场的模式相似性由向量相似系数(VSC)来度量,该向量相似系数由归一化向量对的内积的算术平均值来定义。提供的例子,表明VSC可以识别如何接近一个向量场类似于另一个。注意,VSC只能描述模式相似性,并且它不能反映两个向量场之间的平均向量长度的系统差异。为了测量矢量长度,图中包括RMSL。第三个变量RMSVD用于确定两个向量场之间的总体差异的大小。实例表明,VFE图可以清楚地说明总体RMSVD在多大程度上归因于RMSL的系统差异,以及在多大程度上归因于模式相似性差。
Abstract. Vector quantities, e.g., vector winds, play an extremely important role in climate systems. The energy and water exchanges between different regions are strongly dominated by wind, which in turn shapes the regional climate. Thus, how well climate models can simulate vector fields directly affects model performance in reproducing the nature of a regional climate. This paper devises a new diagram, termed the vector field evaluation (VFE) diagram, which is a generalized Taylor diagram and able to provide a concise evaluation of model performance in simulating vector fields. The diagram can measure how well two vector fields match each other in terms of three statistical variables, i.e., the vector similarity coefficient, root mean square length (RMSL), and root mean square vector difference (RMSVD). Similar to the Taylor diagram, the VFE diagram is especially useful for evaluating climate models. The pattern similarity of two vector fields is measured by a vector similarity coefficient (VSC) that is defined by the arithmetic mean of the inner product of normalized vector pairs. Examples are provided, showing that VSC can identify how close one vector field resembles another. Note that VSC can only describe the pattern similarity, and it does not reflect the systematic difference in the mean vector length between two vector fields. To measure the vector length, RMSL is included in the diagram. The third variable, RMSVD, is used to identify the magnitude of the overall difference between two vector fields. Examples show that the VFE diagram can clearly illustrate the extent to which the overall RMSVD is attributed to the systematic difference in RMSL and how much is due to the poor pattern similarity.
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