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Cloud Statistics from Calipso Lidar Data for the ... - espace-tum.de

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Chapter 6. <strong>Cloud</strong> flatness occurrence 58<br />

100 km flat cloud top<br />

exceeding search window<br />

20 km flat cloud top<br />

isolated cloud<br />

40 km flat cloud top<br />

partly flat cloud<br />

HEIGHT<br />

1.42 km<br />

1.39 km<br />

1.36 km<br />

1.33 km<br />

1.30 km<br />

1.27 km<br />

1.24 km<br />

100 km overlap of search window search window with 200 km horizontal extent 100 km overlap of search window<br />

Figure 25: The cloud flatness search algorithm uses a histogram approach with halfoverlapping<br />

200 km search windows to <strong>de</strong>tect flat cloud tops.<br />

Thus, <strong>the</strong> <strong>de</strong>tection threshold <strong>for</strong> a 50 km cloud with a flat cloud top in a 200 km search<br />

window is 0.25. As a next step <strong>the</strong> algorithm computes a cloud top height histogram<br />

with 30 m vertical binning of <strong>the</strong> clouds within <strong>the</strong> search window. If a cloud height bin<br />

exceeds <strong>the</strong> <strong>de</strong>tection threshold, a cloud flatness event will be registered within <strong>the</strong> search<br />

window. In case <strong>the</strong>re are multiple bins that exceed <strong>the</strong> threshold, an additional event<br />

is assigned. For <strong>the</strong> example seen in Figure 25, two events would have been <strong>de</strong>tected<br />

because <strong>the</strong> height bin of 1.33 km and 1.36 km would have excee<strong>de</strong>d <strong>the</strong> threshold of 0.25.<br />

By using <strong>the</strong> histogram approach, not only consecutive clouds are found, but also broken<br />

cloud scenes are taken into account (see Chapter 4 <strong>for</strong> examples). This is possible because<br />

cloud free columns are treated apart. The major drawback of <strong>the</strong> histogram approach<br />

is <strong>the</strong> inability of <strong>the</strong> algorithm to distinguish whe<strong>the</strong>r <strong>the</strong> histogram bins belong to<br />

one or more clouds. As a consequence, cloud flatness could also be associated to one<br />

large cloud with a slightly rough cloud top instead of multiple individual clouds. To<br />

exclu<strong>de</strong> <strong>the</strong> <strong>de</strong>tection of neighboring height bins, an additional vertical layer threshold<br />

can be used. However, such a threshold would also exclu<strong>de</strong> multiple individual flat<br />

cloud tops with similar heights such as in Figure 25. There<strong>for</strong>e two analyses have been<br />

per<strong>for</strong>med, one with no additional vertical threshold and one with a minimum vertical<br />

spacing of 120 m, which accounts <strong>for</strong> slightly rough cloud tops of large clouds. To assess<br />

<strong>the</strong> global distribution of such cloud flatness events, <strong>the</strong> roun<strong>de</strong>d latitu<strong>de</strong> and longitu<strong>de</strong><br />

coordinates of <strong>the</strong> search window midpoint as well as all event top heights are stored.<br />

All individual measurements that contribute to <strong>the</strong> cloud flatness event are not retained<br />

and a <strong>de</strong>termination of different cloud layers and <strong>the</strong>ir exact position is not <strong>for</strong>seen.<br />

However, <strong>for</strong> a basic estimation of <strong>the</strong> global flatness distribution in location and height,<br />

this approach is sufficient.

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