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arXiv 2402.03263stat.AP
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通过连续零膨胀数据的两阶段模型进行森林生物量的小区域估计

Small area estimation of forest biomass via a two-stage model for continuous zero-inflated data

Grayson W. White, Josh K. Yamamoto, Dinan H. Elsyad, Julian F. Schmitt, Niels H. Korsgaard, Jie Kate Hu, George C. Gaines, Tracey S. Frescino, Kelly S. McConville

AI总结:

本文针对森林生物量数据中的零膨胀问题,提出基于两阶段模型的小区域估计方法,并通过模拟和实际数据验证其优于传统估计量,同时开发了R包saeczi。

摘要:

美国(US)森林资源清查与分析项目(FIA)收集数据并监测美国森林的变化趋势。FIA越来越关注在精细的地理和时间尺度上监测森林属性(如生物量),因此需要在森林资源清查中评估和开发小区域估计技术。我们实现了一种小区域估计量和参数自助法估计量,通过基于两阶段模型的方法来考虑生物量数据中的零膨胀,并将其性能与后分层估计量以及单元级和区域级经验最佳线性无偏预测(EBLUP)估计量进行比较。为了进行估计量比较,我们基于抽样样地数据和遥感数据产品,以美国内华达州的县作为域进行了模拟研究。结果表明,零膨胀估计量具有最低的相对偏差和最小的经验均方根误差。此外,零膨胀估计量和单元级EBLUP的95%置信区间覆盖率比其他两个估计量更准确。为了进一步说明实际效用,我们在内华达州2019年测量年度进行了数据应用。我们介绍了R包saeczi,它高效地实现了零膨胀估计量及其均方误差估计量。

英文摘要:

The United States (US) Forest Inventory & Analysis Program (FIA) collects data on and monitors the trends of forests in the US. FIA is increasingly interested in monitoring forest attributes such as biomass at fine geographic and temporal scales, resulting in a need for assessment and development of small area estimation techniques in forest inventory. We implement a small area estimator and parametric bootstrap estimator that account for zero-inflation in biomass data via a two-stage model-based approach and compare its performance to a post-stratified estimator and to the unit- and area-level empirical best linear unbiased prediction (EBLUP) estimators. For estimator comparison, we conduct a simulation study with counties in the US state Nevada as domains based on sampled plot data and remote sensing data products. Results show the zero-inflated estimator has the lowest relative bias and the smallest empirical root mean square error. Moreover, the 95% confidence interval coverages of the zero-inflated estimator and the unit-level EBLUP are more accurate than the other two estimators. To further illustrate the practical utility, we employ a data application across the 2019 measurement year in Nevada. We introduce the R package, saeczi, which efficiently implements the zero-inflated estimator and its mean squared error estimator.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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