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Analysis of the plant architecture via tree-structured statistical models: The hidden Markov tree models

机译:通过树结构统计模型分析工厂架构:隐马尔可夫树模型

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摘要

Plant architecture is the result of repetitions that occur through growth and branching processes. During plant ontogeny, changes in the morphological characteristics of plant entities are interpreted as the indirect translation of different physiological states of the meristems. Thus connected entities can exhibit either similar or very contrasted characteristics. We propose a statistical model to reveal and characterize homogeneous zones and transitions between zones within tree-structured data: the hidden Markov tree (HMT) model. This model leads to a clustering of the entities into classes sharing the same 'hidden state'. The application of the HMT model to two plant sets (apple trees and bush willows), measured at annual shoot scale, highlights ordered states defined by different morphological characteristics. The model provides a synthetic overview of state locations, pointing out homogeneous zones or ruptures. It also illustrates where within branching structures, and when during plant ontogeny, morphological changes occur. However, the labelling exhibits some patterns that cannot be described by the model parameters. Some of these limitations are addressed by two alternative HMT families.
机译:植物结构是生长和分支过程中重复发生的结果。在植物个体发育过程中,植物实体形态特征的变化被解释为分生组织不同生理状态的间接翻译。因此,连接的实体可以表现出相似或非常对比的特征。我们提出了一种统计模型来揭示和表征树状结构数据中的同质区域和区域之间的过渡:隐马尔可夫树(HMT)模型。该模型导致将实体聚类为共享相同“隐藏状态”的类。 HMT模型在以年梢尺度测量的两种植物(苹果树和灌木柳)上的应用突出了由不同形态特征定义的有序状态。该模型提供状态位置的综合概述,指出均匀区域或破裂。它还说明了分支结构内的位置,以及在植物个体发育过程中何时发生形态变化。但是,标签显示某些模式参数无法描述的模式。其中一些局限性可以通过两个替代的HMT系列来解决。

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