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Fractal dimension as correction factor for stand-level indirect leaf area index measurements

机译:分形维数作为林分级间接叶面积指数测量的校正因子

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摘要

Abstract: Rapid, reliable and objective estimation of Leaf Area Index (LAI) at various scales is of utmost importance in numerous studies on the Earth's ecosystem. The Licor LAI-2000 Plant Canopy Analyzer (PCA) correlates measured gap fractions to overall LAI by means of the inversion of a radiative transfer model. The PCA's model assumes a random distribution of foliage elements in the stand canopy. However, clumping is observed at different scales in nature. The objectives of this study were, first, the quantification of the LAI measurement error of the PCA due to foliage clumping at stand-level, and second, the derivation of an easily measurable correction factor. For this, foliage elements were simulated in a virtual 3D-space. PCA LAI measurements were simulated by applying the same PCA inversion model onto virtually taken hemispherical photographs resulting in both exact reference LAI values and corresponding PCA measurements. Fractal dimension, quantifying the deviation from a complete random foliage distribution, was tested as a correction factor for PCA measurements. Correction models for PCA measurements were build, based on the measured fractal dimension. A post validation as performed on field data obtained by means of littertraps (reference). A clear relation between fractal dimension and the proportion of underestimation of LAI by the PCA with increasing clumping of foliage was found. Implementation of the regression model resulted in significantly improved LAI measurements. !20
机译:摘要:在各种规模的地球生态系统研究中,快速,可靠和客观地估算各种规模的叶面积指数(LAI)至关重要。 Licor LAI-2000植物冠层分析仪(PCA)通过辐射传递模型的反演将测得的缺口分数与总体LAI相关联。 PCA的模型假设林分冠层中的树叶元素随机分布。但是,自然界中会观察到不同程度的结块。这项研究的目的是,首先,对由于在立地水平上结块而造成的PCA的LAI测量误差进行量化,其次,得出易于测量的校正因子。为此,在虚拟的3D空间中模拟了树叶元素。通过将相同的PCA反演模型应用于虚拟拍摄的半球照片来模拟PCA LAI测量,从而得到准确的参考LAI值和相应的PCA测量。分形维数量化了与完整的随机树叶分布的偏差,作为PCA测量的校正因子进行了测试。基于测得的分形维数,建立用于PCA测量的校正模型。对通过垃圾桶(参考)获得的田间数据执行的后验证。发现分形维数与PCA低估了LAI的比例之间的关系随着叶丛的增加而明显增加。回归模型的实施大大改善了LAI的测量。 !20

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