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首页> 外文会议>Conference on Lidar Remote Sensing for Environmental Monitoring IV; Aug 3-4, 2003; San Diego, California, USA >Methods of Assessing Uncertainty in Determining Particle Size Distribution Parameters from Optical Backscatter and Extinction Measurements
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Methods of Assessing Uncertainty in Determining Particle Size Distribution Parameters from Optical Backscatter and Extinction Measurements

机译：通过光学反向散射和消光测量确定粒度分布参数的不确定度评估方法

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摘要

The use of multi-wavelength lidar measurements can in principle be used to estimate aerosol extinction and backscatter profiles. From the resultant multi-wavelength profiles, an estimate of particle size distribution parameters can be inferred. However, the confidence of the retrieval depends on the accuracy of the retrieved backscatter and extinction coefficients. Conventional approaches determine errors by performing statistical calculations on the results of inversions of simulated measurements with errors derived from a random number generator. There is a certain ambiguity about the validity of this method which we try to resolve. We introduce two alternative methods. One is a reverse Monte-Carlo method which gives an ensemble of distribution parameters that produce simulated measurements whose inversions match the inversion of the retrieved measurements. Substatial differences in the results of the aforementioned methods were found. In order to clarify these differences, a semi-analytic approach is introduced that formulates the conditional probability density function of underlying particle size distribution parameters given a set of measurements {from the combined probability function with the underlying optical data}. Results using the probability density function were found to be closer to the statistics of the reverse Monte-Carlo method than the conventional method.
机译：原则上，多波长激光雷达测量的使用可用于估计气溶胶的消光和反向散射剖面。从所得的多波长分布图中，可以推断出粒度分布参数的估计值。但是，取回的置信度取决于取回的反向散射和消光系数的准确性。常规方法通过对模拟测量值的反演结果进行统计计算来确定误差，其中误差来源于随机数发生器。我们试图解决这种方法的有效性存在一定的歧义。我们介绍两种替代方法。一种是反向蒙特卡洛方法，它给出了分布参数的集合，这些分布参数可生成模拟测量值，其反演与所获取测量值的反演匹配。发现上述方法的结果存在亚稳态差异。为了弄清这些差异，引入了一种半分析方法，该方法通过给定一组测量值（根据组合的概率函数与基础光学数据）来制定基础粒度分布参数的条件概率密度函数。发现使用概率密度函数的结果比常规方法更接近反向蒙特卡洛方法的统计量。

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