干旱区研究 ›› 2012, Vol. 29 ›› Issue (3): 547-552.

• 生态与环境 • 上一篇    下一篇

随机抽样必要样本容量的确定方法及其应用

姚淑霞, 张铜会   

  1. 中国科学院寒区旱区环境与工程研究所 奈曼沙漠化研究站,甘肃 兰州 730000
  • 收稿日期:2011-03-11 修回日期:2011-04-21 出版日期:2012-05-15 发布日期:2012-05-30
  • 作者简介:姚淑霞(1980-),女,甘肃平凉人,博士生,讲师,主要从事生态水文学研究.E-mail:yaoshuxia@163.com
  • 基金资助:

    半干旱沙地沙丘地下水补给功能比较研究项目(40871004);国家重点基础研究发展计划(973计划)项目(2009CB421303)

A Method for Determining Necessary Sample Size in Random Sampling and Its Application

 YAO  Shu-Xia, ZHANG  Tong-Hui   

  • Received:2011-03-11 Revised:2011-04-21 Online:2012-05-15 Published:2012-05-30

摘要: 在随机抽样中,常通过样本均值来估计总体均值,而样本容量的选择是估算样本均值的关键。以统计理论为基础,并结合半干旱区科尔沁沙地的土壤含水量、有机质、氮、磷和钾含量;植物种组成与植被高度、盖度及密度等历史数据集,得到了这些生态指标在随机抽样中的必要样本容量和确定方法。分析结果表明:当这些指标的变异系数不超过相应的变异系数时,① 沙地农田土壤有机质、全氮、速效氮、全磷、有效磷和速效钾含量的必要样本容量在7~15之间;② 沙质草地和固定沙丘植被高度、盖度、密度和植物种数的必要样本容量分别为11, 8, 28和15;③ 固定沙丘和半固定沙丘0~30 cm土壤含水量的必要样本容量分别为32和12。这为今后在该区域或者类似地区研究这些指标,对样本容量的合理选取有一定的指导作用和参考价值。

关键词: 样本容量, 沙地生态系统, 变异系数, 样本方差, 科尔沁沙地

Abstract: The sample average is usually used to estimate the holistic average in random sampling of an ecological survey. However, determination of sample size plays an important role in calculating the sample average. Based on the statistical theory, a method of determining the necessary sampling size in random sampling in the Horqin Sand Land was obtained, and it was tested with some data sets, such as the contents of soil moisture, soil organic matter, nitrogen, phosphorus and potassium, composition of plant species, and vegetation height, density and coverage. The necessary sample sizes for these ecological indicators were obtained. As the values of cv (coefficient of variation) of these indicators were lower than the assumed values, the results are as follows: (1) The necessary sample sizes for the contents of soil organic matter, total nitrogen, available nitrogen, total phosphorus, available phosphorus and potassium in cropland ranged from 7 to 15; (2) The necessary sample sizes for the height, density, coverage and species composition of vegetation over fixed dunes and sandy grasslands were 11, 8, 28 and 15 respectively; (3) The necessary sample sizes for soil moisture content of fixed and semifixed dunes in depth 0-30 cm were 32 and 12 respectively. These results are of certain guiding and referring value for rationally selecting the sample sizes in the Horqin Sand Land and similar regions in the future.

Key words: sample size, sand land ecosystem, coefficient of variation, sample variance, Horqin Sand Land