地理科学进展 ›› 2008, Vol. 27 ›› Issue (3): 152-160.doi: 10.11820/dlkxjz.2008.03.021

• 遥感技术与模型应用 • 上一篇    下一篇

地理空间中不同分层抽样方式的分层效率 与优化策略

曹志冬1,2, 王劲峰1, 李连发1, 姜成晟1   

  1. 1. 中国科学院地理科学与资源研究所资源与环境信息系统国家重点实验室,北京100101;
    2. 中国科学院研究生院,北京100039
  • 收稿日期:2008-01-01 修回日期:2008-03-01 出版日期:2008-05-25 发布日期:2008-05-25
  • 通讯作者: 王劲峰,博士,研究员, E- mail:wangjf@lreis.ac.cn E-mail:wangjf@lreis.ac.cn
  • 作者简介:曹志冬(1978- ),男,湖南益阳人,博士研究生,主要从事GIS 空间分析、空间抽样和传染病时空建模方面的研究, E- mail:caozd@lreis.ac.cn
  • 基金资助:

    本文得到中国科学院知识创新项目(KZCX2- YW- 308)、国家863 项目(2006AA12Z215)和自然科学基金(40471111,70571076)项目资助

Str ata Efficiency and Optimization str ategy of Str atified Sampling on Spatial Population

CAO Zhidong1,2, WANG Jinfeng1, LI Lianfa1, JIANG Chengsheng1   

  1. 1. State Key Laboratory of Resources &|Environmental Information System| Institute of Geographic Sciences &|Natural Resources Research, Chinese Academy of Sciences| Beijing 100101, China;
    2. Graduate School of Chinese Academy of Sciences| Beijing 100039| China
  • Received:2008-01-01 Revised:2008-03-01 Online:2008-05-25 Published:2008-05-25

摘要:

地理空间对象中分层抽样的效率受抽样总体的空间相关性特征限制,分层效率的提高源于两个方面,一是 抽样总体的空间相关性会使分散的样本布局精度得到提高,二是先验知识使层内方差变小,只有在空间相关性特 征较强时,追逐先验知识的分层方式才会比任意分层方式具有更好的分层效率,当空间相关性较弱时,知识分层并 不会比任意分层得到更高的抽样精度,地理空间相关性特征对分层抽样设计有重要影响,而这在实际应用中往往 被忽视。本文采用蒙特卡罗模拟抽样方法以山东省1985 年和1995 年细小非耕地地物面积比例的抽样调查为例分 析了空间相关性特征对不同分层方式抽样效率的影响,并提出了地理空间对象中分层方式的优化选择策略。

关键词: 地理空间对象, 分层抽样, 分层效率, 空间相关性, 优化策略

Abstract:

Efficiency of stratified sampling for geospatial population is restricted by spatial autocorrelation. Strata efficiency origins from two aspects: the first is spatial auto- correlation, which makes sampling with dispersed distribution improve the accuracy; and the second is priori knowledge, which can make the variance smaller within strata than within the overall population. The strata efficiency for knowledge strata is more outstanding than that of arbitrary strata only in the geographical object with strong spatial auto- correlation; when the spatial auto- correlation is weak, knowledge will not be preferred to the arbitrary strata. Spatial auto - correlation has an important influence on stratified sampling design: Although a stratified statostoc always "gains" in terms of accuracy, the implementation of the technique is conditional, expensive and sometime unnecessary. This is often overlooked in practical application. Different stratified sampling surveys for the ratio of thin - non - cultivated component in Shandong Province are simulated by using Mento Carlo method. Simulated results validate the influence of spatial: auto - correlation on different stratified methods. Finally, this paper proposes optimization strategy of strata selection for geospatial objects.

Key words: geographical object, optimization strategy, spatial autocorrelation, strata efficiency, stratified sampling