The weight share method in forest inventories: refining the relation between points and trees

IF 16.4 1区 化学 Q1 CHEMISTRY, MULTIDISCIPLINARY
Olivier B. Bouriaud, Philippe Brion, Guillaume Chauvet, Trinh Ho Kim Duong, Minna Pulkinnen
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Abstract

The population of forest trees having no sampling frame, forest inventories have relied on indirect sampling methods. This indirect sampling uses two populations: the discrete populations of trees and the continuous population of points, from which trees are being sampled. Important works such as Mandallaz (1991), Eriksson (1995) and Stevens and Urquhart (2000) brought the fundamental elements in the formalization of the sampling of trees, by defining the duality principle that relates both populations. They led to the so-called continuous population approach where trees attributes are transformed into attribute density values. However, in these approaches, the trees quickly fade away despite being the target population while their weight is calculated as the inverse of their inclusion probability. We explain how the Generalized Weight Share Method (GWSM) can be used to formalize the link between the two populations. GWSM allows to revisit previous concepts proposed to solve the question of how to produce estimations from tree-level attributes, under uniform random or more complex sampling designs. The principles of the method are explained, and its functioning is illustrated under a variety of points and trees sampling designs, including fixed-area, Bitterlich and cluster sampling.
森林资源清查中的权重份额法:完善点与树之间的关系
由于林木种群没有抽样框架,森林资源调查一直依赖于间接抽样方法。这种间接取样使用两个群体:离散的林木群体和连续的点群体,林木就是从点群体中取样的。Mandallaz (1991)、Eriksson (1995) 以及 Stevens 和 Urquhart (2000) 等人的重要著作通过定义将两个种群联系起来的二元性原则,为树木采样的正规化提供了基本要素。他们提出了所谓的连续种群方法,将树木属性转化为属性密度值。然而,在这些方法中,尽管树木是目标种群,但它们很快就会消失,而它们的权重是以其包含概率的倒数来计算的。我们将解释如何使用广义权重共享法(GWSM)来正式确定两个种群之间的联系。GWSM 允许重新审视以前提出的概念,以解决如何在均匀随机或更复杂的抽样设计下从树级属性得出估计值的问题。本文解释了该方法的原理,并说明了该方法在各种点和树抽样设计(包括固定区域抽样、比特利希抽样和聚类抽样)下的功能。
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来源期刊
Accounts of Chemical Research
Accounts of Chemical Research 化学-化学综合
CiteScore
31.40
自引率
1.10%
发文量
312
审稿时长
2 months
期刊介绍: Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.
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