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首页> 外文期刊>Journal of the Atmospheric Sciences >A Simple Stochastic Model for Generating Broken Cloud Optical Depth and Cloud-Top Height Fields
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A Simple Stochastic Model for Generating Broken Cloud Optical Depth and Cloud-Top Height Fields

机译：生成破碎云的光学深度和云顶高度场的简单随机模型

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摘要

A simple and fast algorithm for generating two correlated stochastic two-dimensional (2D) cloud fields is described. The algorithm is illustrated with two broken cumulus cloud fields: cloud optical depth and cloud-top height retrieved from the Moderate Resolution Imaging Spectroradiometer (MODIS). Only two 2D fields are required as an input. The algorithm output is statistical realizations of these two fields with approximately the same correlation and joint distribution functions as the original ones. The major assumption of the algorithm is statistical isotropy of the fields. In contrast to fractals and the Fourier filtering methods frequently used for stochastic cloud modeling, the proposed method is based on spectral models of homogeneous random fields. To retain the same probability density function as the (first) original field, the method of inverse distribution function is used. When the spatial distribution of the first field has been generated, a realization of the correlated second field is simulated using a conditional distribution matrix. This paper serves as a theoretical justification of the publicly available software "Simulation of a two-component cloud field," which has been recently released. Although 2D rather than full 3D, the stochastic realizations of two correlated cloud fields that mimic statistics of given fields have proven to be very useful to study 3D radiative transfer features of broken cumulus clouds for a better understanding of shortwave radiation and the interpretation of remote sensing retrievals.
机译：描述了一种用于生成两个相关的随机二维（2D）云场的简单快速算法。用两个破碎的积云场说明了该算法：从中分辨率成像光谱仪（MODIS）检索的云光学深度和云顶高度。仅需要两个2D字段作为输入。算法输出是这两个字段的统计实现，具有与原始字段大致相同的相关性和联合分布函数。该算法的主要假设是磁场的统计各向同性。与通常用于随机云建模的分形和傅立叶滤波方法相反，该方法基于均质随机场的光谱模型。为了保持与（第一个）原始字段相同的概率密度函数，使用了逆分布函数的方法。当已经产生了第一场的空间分布时，使用条件分布矩阵来模拟相关第二场的实现。本文是最近发布的公开可用软件“两分量云域的模拟”的理论依据。尽管是2D而非完整的3D，但已证明模仿给定场的统计信息的两个相关云场的随机实现对于研究破碎积云的3D辐射传输特征非常有用，有助于更好地了解短波辐射和遥感解释。检索。

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