地统计学在土壤水分空间变异中的应用

东北农业大学学士学位论文学号：A******** 地统计学在土壤水分空间变异中的应用

学生：辛星

指导教师：继龙

所在院系：水利与建筑学院

所学专业：农业水利工程

研究方向：地统计学

东北农业大学

中国·

2011 年 5 月

. 资料.

Northeast Agricultural University Bachelor degree thesis Registration Number:A13070041

Application of geostatistics in spatial

variability of soil moisture

Name: Xin Xing

Adviser: Liu JiLong

Department: School of Water Conservancy and Architecture

Major: Agricultural Hydraulic Engineering

Subject: Geostatistics

Northeast Agricultural University

. 资料.

Harbin China

May, 2010

. 资料.

摘要

利用传统统计学方法和地统计学方法中的半方差函数和克里格插值对32m×32m，48m×48m，64m×64m，80m×80m，96×96m采样面积土壤含水率的空间变异性进行了研究。研究结果表明：不同采样面积下土壤水分的块金值均为正值，说明存在着由采样误差、短距离的变异、随机和固有变异引起的各种正基底效应。不同采样面积下土壤含水量的变异系数分别为0.16、0.20、0.23、0.25、0.24，均介于0. 16～0.25 之间，属于中等变异强度。土壤含水量变异函数的C0/(C0+C)值分别为0.36、0.61、0.69、0.59、0.62，均介于25%～75%之间，具有中等空间相关性；随着采样面积的增大，土壤含水量半方差函数的变程呈增大趋势；研究区域土壤含水量空间分布的破碎化比较严重，但土壤含水量总体上近似呈有向西南和西北逐渐增高变化趋势。

关键词:空间变异；地统计学；土壤含水量；不同尺度

. 资料.

Abstract

Spatial variability of soil water content at the 32m × 32m, 48m × 48m, 64m ×64m, 80m ×80m, and 96 ×96m sampling area were studied with

. 资料.

traditional statistical and statistical geostatistics methods. The results showed that: the nuggets of soil water content at different sampling area were positive, which indicated the existence of the sampling error, short-range variability, random and inherent variability. Coefficient of variation of soil water content at the different sampling area were between 0.16 and 0.25, which showed soil water content had medium spatial variability. C0/(C0+C) were between 25% and 75%, which showed soil water content had moderate spatial correlation. Range increased gradually with increasing of sampling area. There were a lot of small or large patch in the studied area, however, soil water content increased gradually from southwest area to northwest area.

Keywords: Spatial variability; Geostatistics; Soil water content; Different scales

. 资料.

目录

1 引言 ................................................................................................................ - 1 -

2 材料与方法.................................................................................................... - 2 -2.1采样布局与方法........................................................................................ - 2 -2.2地统计学方法........................................................................................... - 2 -

2.2.1 区域化变量和随机函数...................................................................... - 3 -

2.2.2 平稳假设和二阶平稳......................................................................... - 3 -

2.2.3半方差函数 ....................................................................................... - 3 -

2.2.4 克里格插值 ....................................................................................... - 5 -. 资料.