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A stochastic model of tree architecture and biomass partitioning: application to Mongolian Scots pines

机译:树结构和生物量分配的随机模型:在蒙古苏格兰松树中的应用

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Background and Aims Mongolian Scots pine (Pinus sylvestris var. mongolica) is one of the principal species used for windbreak and sand stabilization in arid and semi-arid areas in northern China. A model-assisted analysis of its canopy architectural development and functions is valuable for better understanding its behaviour and roles in fragile ecosystems. However, due to the intrinsic complexity and variability of trees, the parametric identification of such models is currently a major obstacle to their evaluation and their validation with respect to real data. The aim of this paper was to present the mathematical framework of a stochastic functional-structural model (GL2) and its parameterization for Mongolian Scots pines, taking into account inter-plant variability in terms of topological development and biomass partitioning.Methods In GL2, plant organogenesis is determined by the realization of random variables representing the behaviour of axillary or apical buds. The associated probabilities are calibrated for Mongolian Scots pines using experimental data including means and variances of the numbers of organs per plant in each order-based class. The functional part of the model relies on the principles of source-sink regulation and is parameterized by direct observations of living trees and the inversion method using measured data for organ mass and dimensions.Key Results The final calibration accuracy satisfies both organogenetic and morphogenetic processes. Our hypothesis for the number of organs following a binomial distribution is found to be consistent with the real data. Based on the calibrated parameters, stochastic simulations of the growth of Mongolian Scots pines in plantations are generated by the Monte Carlo method, allowing analysis of the inter-individual variability of the number of organs and biomass partitioning. Three-dimensional (3D) architectures of young Mongolian Scots pines were simulated for 4-, 6- and 8-year-old trees.Conclusions This work provides a new method for characterizing tree structures and biomass allocation that can be used to build a 3D virtual Mongolian Scots pine forest. The work paves the way for bridging the gap between a single-plant model and a stand model.
机译:背景与目的蒙古苏格兰松(Pinus sylvestris var.mongolica)是中国北方干旱和半干旱地区用于防风和防沙的主要树种之一。通过模型辅助分析其冠层建筑的发展和功能,对于更好地了解其在脆弱生态系统中的行为和作用非常有用。然而,由于树木固有的复杂性和可变性,目前这种模型的参数识别是对其进行评估和相对于真实数据进行验证的主要障碍。本文的目的是提供一个随机功能结构模型(GL2)的数学框架及其对蒙古苏格兰松树的参数化,同时考虑到植物间在拓扑发展和生物量分配方面的变异性。器官发生是通过实现代表腋芽或顶芽行为的随机变量来确定的。使用实验数据对蒙古苏格兰松树的相关概率进行校准,该实验数据包括每个基于订单的类别中每株植物的器官数量的平均值和方差。该模型的功能部分依赖于源汇调节原理,并通过对活树的直接观察和使用器官质量和尺寸的实测数据的反演方法进行参数化。关键结果最终的校准精度满足了有机和成因过程。我们关于二项式分布后器官数量的假设被发现与真实数据一致。基于校准的参数,通过蒙特卡洛方法生成了蒙古苏格兰松树在人工林中生长的随机模拟,从而可以分析器官数量和生物量分配的个体间差异。为4、6和8岁的老树模拟了蒙古青苏格兰松树的3D(3D)结构。结论这项工作为表征树木结构和生物量分配提供了一种新方法,可用于构建3D模型。虚拟的蒙古苏格兰松树林。这项工作为弥合单厂模型与展台模型之间的差距铺平了道路。

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