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An example two-dimensional k-d tree (k = 2) built from nodes a through h. Dividing planes are constructed by cycling through each coordinate and determining the median node (left). This gives rise to a tree structure (right) that, in conjunction with an input node, can then be searched recursively for a corresponding rectangular domain in physical space. The last leaf node is labeled as the best candidate for nearest neighbor and the tree is " unwound " to test other potential candidates. The number of nodes that need to be examined is limited to domains that overlap a hypersphere with origin at the input node and with distance to the current candidate.  

An example two-dimensional k-d tree (k = 2) built from nodes a through h. Dividing planes are constructed by cycling through each coordinate and determining the median node (left). This gives rise to a tree structure (right) that, in conjunction with an input node, can then be searched recursively for a corresponding rectangular domain in physical space. The last leaf node is labeled as the best candidate for nearest neighbor and the tree is " unwound " to test other potential candidates. The number of nodes that need to be examined is limited to domains that overlap a hypersphere with origin at the input node and with distance to the current candidate.  

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... The distribution of MTA occurrence across latitude is clearly bimodal with one narrow peak around 10 • latitude as well as a wider peak centered around 45 • latitude ( Fig. 4a-d). The minimum in frequency of detections occurs around 20 • latitude, close to the 15 • and 23.25 • -cutoffs used in the atmospheric river detection schemes of Ullrich and Zarzycki (2017) and Shearer et al. (2020), respectively. ...
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    The water vapor transport in the extratropics is mainly organized in narrow elongated filaments. These filaments are referred to with a variety of names depending on the contexts, for example atmospheric river, warm moist intrusion, warm conveyor belt, and feeder air stream. Despite the various names, these features share essential properties, such as their narrow elongated structure. Here, we propose an algorithm that detects these various lines of moisture transport in instantaneous maps of the vertically integrated water vapor transport. The detection algorithm extracts well-defined maxima in the water vapor transport and connects them to lines that we refer to as moisture transport axes. By only requiring a well-defined maximum in the vapor transport, we avoid imposing a threshold in the absolute magnitude of this transport or the total column water vapor. Consequently, the algorithm is able to pick up moisture transport axes at all latitudes without requiring region-specific tuning or normalization. We demonstrate that the algorithm can detect both atmospheric rivers and warm moist intrusions, but also prominent monsoon air streams as well as low-level jets with moisture transport. Atmospheric rivers sometimes consist of several distinct moisture transport axes, indicating the merging of several moisture filaments into one atmospheric river. We showcase the synoptic situations and precipitation patterns associated with the occurrence of the identified moisture transport axes in example regions in the low, mid, and high latitudes.
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