欢迎访问林业科学,今天是

林业科学 ›› 2010, Vol. 46 ›› Issue (7): 1-6.doi: 10.11707/j.1001-7488.20100701

• 论文 •    下一篇

不跨越边界基于Horvitz-Thompson估计量的分层自适应群团抽样

朱光玉1,2,唐守正1,雷渊才1   

  1. 1.中国林业科学研究院资源信息研究所 北京 100091;2.中南林业科技大学林业遥感信息工程研究中心 长沙 410004
  • 收稿日期:2009-03-09 修回日期:2009-06-11 出版日期:2010-07-25 发布日期:2010-07-25
  • 通讯作者: 唐守正

Stratified Adaptive Cluster Sampling Based on the Adjusted Horvitz-Thompson Estimator with the Network Nonoverlapping Strata

Zhu Guangyu1,2;Tang Shouzheng1;LeiYuancai1   

  1. 1.Institute of Forest Resources Information Techniques, CAF Beijing 100091;2. Research Center of Forestry Remote Sensing Information Engineering,Central South University of Forestry and Technology Changsha 410004
  • Received:2009-03-09 Revised:2009-06-11 Online:2010-07-25 Published:2010-07-25

摘要:

提出一种新的不跨越边界的基于Horvitz-Thompson估计量的分层自适应群团抽样方法,给出其估计量公式,并证明其无偏性。将9种抽样方法(简单随机抽样、分层简单随机抽样、基于修正Hansen-Hurwitz估计量的ACS、基于修正Horvitz-Thompson估计量的ACS、跨越边界基于Hansen-Hurwitz估计量的ACSI、跨越边界基于Hansen-Hurwitz估计量的ACSII、不跨越边界基于修正Hansen-Hurwitz估计量的ACS、跨越边界基于修正Horvitz-Thompson估计量的ACS、不跨越边界基于修正Horvitz-Thompson估计量的ACS)应用于中国乌兰布和沙漠边缘植被花棒密度调查,并对比9种抽样方法精度。结果表明: 不跨越边界的基于Horvitz-Thompson估计量的分层自适应群团抽样的效果最佳; 分层的抽样方法比不分层的抽样方法效率要高。

关键词: 花棒, 自适应群团抽样, 分层自适应群团抽样, Horvitz-Thompson估计量, Hansen-Hurwitz估计量, 模拟抽样, 乌兰布和沙漠

Abstract:

In this paper, a new stratified adaptive cluster sampling method is proposed based on the adjusted Horvitz-Thompson estimator with the network nonoverlapping strata.The mean and variance estimator are proved to be unbiased. Nine sampling methods were used for estimating the density of Hedysarum scoparium in Ulanbuh Desert edge in China,simple random sampling,stratified simple random sampling,adaptive cluster sampling based on the adjusted Hansen-Hurwitz estimator,adaptive cluster sampling based on the adjusted Horvitz-Thompson estimator,stratified adaptive cluster sampling I (ACSI) based on the adjusted Hansen-Hurwitz estimator with the network overlapping strata,stratified adaptive cluster sampling II (ACSII) based on the adjusted Hansen-Hurwitz estimator with the network overlapping strata,stratified adaptive cluster sampling based on the adjusted Horvitz-Thompson estimator with the network overlapping strata,stratified adaptive cluster sampling based on the adjusted Horvitz-Thompson estimator with the network nonoverlapping strata.The precisions of the nine sampling methods were compared.The result showed that the new stratified adaptive cluster sampling method based on the adjusted Horvitz-Thompson estimator with the network nonoverlapping strata was more effective than the others,and the sampling in stratified populations was more effective than the sampling in non-stratified populations.

Key words: Hedysarum scoparium, stratified adaptive cluster sampling, Horvitz-Thompson estimator, Hansen-Hurwitz estimator, simulation sampling, Ulanbuh Desert