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Size frequency analysis by averaged shifted histograms and kernel density estimators

机译:通过平均移位直方图和核密度估计器进行大小频率分析

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Size frequency analysis in fisheries is commonly carried out through histograms and frequency polygons. However,these procedures present several drawbacks including dependency on the interval width grid origin, discontinuity, and use of fixed widthintervals. These problems prompted the authors to focus their interest in alternative,more efficient, computationally intensive methods. In this study we used kernel density estimators (KDE) computed by computationally efficient algorithms (averaged shifted histograms) to analyze published size data of coral trout (Plectropomus leopardus). The KDE's do not depend on the grid origin and are continuous estimators. We also discussed several methods in choosing the interval width (smoothing parameter or bandwidth). These nonparametric estimators provide smoother results, that allow characteristics such as skewness, outliers, and multimodality to be easily recognized. Using the variable bandwidth KDE in the latter case, the definition and separation of themodes were improved, and led to more precise and objective mixed components determination. The estimations for the individual components (mean,standard deviation and size from Bhattacharya's procedure) can be employed as initial values in any method formixed distribution analysis or can be used directly to estimate the parameters of the von Bertalanffy growth function. Our experiences in this study suggest that KDE's are valuable tools in length frequency analysis and related methods such as modal progression analysis.
机译:渔业规模频率分析通常是通过直方图和频率多边形进行的。但是,这些过程存在一些缺点,包括对间隔宽度网格原点的依赖性,不连续性和固定宽度间隔的使用。这些问题促使作者将注意力集中在替代的,更有效的,计算密集的方法上。在这项研究中,我们使用了通过高效计算算法(平均偏移直方图)计算出的核密度估计值(KDE)来分析珊瑚鳟鱼(Plectropomus leopardus)的已公布大小数据。 KDE不依赖于网格原点,而是连续的估计量。我们还讨论了选择间隔宽度(平滑参数或带宽)的几种方法。这些非参数估计量可提供更平滑的结果,从而易于识别偏斜度,离群值和多模态等特征。在后一种情况下使用可变带宽KDE,可以改进模式的定义和分离,并可以更精确,更客观地确定混合成分。单个成分的估计值(Bhattacharya方法的平均值,标准偏差和大小)可以用作混合分布分析的任何方法中的初始值,也可以直接用于估计von Bertalanffy生长函数的参数。我们在这项研究中的经验表明,KDE在长度频率分析和相关方法(例如模态级数分析)中是有价值的工具。

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