We present a highly simplified model to describe the diurnal evolution of a convective cloud field in idealized large eddy simulations. The life cycles of individual precipitation events are detected by a storm tracking algorithm which records the autonomous appearance and decay, as well as the merging and fragmentation of convective precipitation cells. Conditioned on the area covered by each cell, the tracking method records the time evolution of the precipitation intensity, the anomalies of near‐surface temperature and moisture, convective available potential energy, and convective inhibition. For tracks that do not merge or split (termed solitary), many of these quantities show generic, often nearly linear relations that hardly depend on the forcing conditions of the simulations, such as surface temperature. This finding allows us to propose a simple idealized model of precipitation events, where the surface precipitation area is circular and a cell's precipitation intensity falls off linearly with the distance from the respective cell center. The drop‐off gradient is nearly independent of track duration and cell size. Multiple track properties, that is, track duration, peak, and mean intensity, as well as the associated cell area can hence be specified by knowing only one remaining parameter. In contrast to the simple and robust behavior of solitary tracks, tracks that result from merging of two or more cells show a much more complicated behavior. The most intense, long lasting, and largest tracks stem from tracks involved in repeated merging.

中文翻译：

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孤立对流降水事件的统计模型

我们提出了一个高度简化的模型，用于描述理想化大涡模拟中对流云场的日变化。通过风暴跟踪算法检测单个降水事件的生命周期，该算法记录自主出现和衰变以及对流降水单元的合并和破碎。跟踪方法以每个单元覆盖的区域为条件，记录降水强度的时间演变，近地表温度和湿度的异常，对流可用势能以及对流抑制。对于不合并或分割的音轨（称为单独音轨）），其中许多量显示出通用的，通常接近线性的关系，而这些关系几乎不依赖于模拟的强迫条件，例如表面温度。这一发现使我们能够提出一个简单的理想的降水事件模型，其中表面降水区域是圆形的，并且一个细胞的降水强度随距各自细胞中心的距离呈线性下降。下降梯度几乎与轨道持续时间和像元大小无关。因此，可以通过仅知道一个剩余参数来指定多个轨道属性，即轨道持续时间，峰值和平均强度以及相关的单元区域。与单独轨迹的简单和健壮行为相反，两个或多个单元格合并产生的轨迹表现出更为复杂的行为。最强烈，持久