DEM空间插值方法对土壤侵蚀模拟的影响研究——以USPED分析干热河谷典型冲沟为例

doi:10.18306/dlkxjz.2016.07.008

地理科学进展 ›› 2016, Vol. 35 ›› Issue (7): 870-877.doi: 10.18306/dlkxjz.2016.07.008

DEM空间插值方法对土壤侵蚀模拟的影响研究——以USPED分析干热河谷典型冲沟为例

徐亚莉, 罗明良^*(), 梁倍瑜, 昌小莉, 向卫, 张斌

西华师范大学国土资源学院,四川南充 637009

收稿日期:2016-01-01 修回日期:2016-05-01 出版日期:2016-07-20 发布日期:2016-07-20
通讯作者: 罗明良
作者简介:
作者简介：徐亚莉(1991-),女,四川绵竹人,硕士研究生,主要从事水土保持与荒漠化防治研究,E-mail: 1573955072@qq.com。
基金资助:
基金项目：国家自然科学基金项目(41101348,41101360); 四川省教育厅自然科学重点项目(2016ZA0168); 西华师范大学基本科研业务费专项资金资助项目(15C002);Foundation: National Natural Science Foundation of China, No.41101348, No.41101360;Key Project of Natural Science Research of Sichuan Provincial Department of Education, No.2016ZA0168; Basic Research Projects Financed from the Special Fund of China West Normal University, No.15C002

Effects of different DEM spatial interpolation methods on soil erosion simulation:A case study of a typical gully of dry-hot valley based on USPED

Yali XU, Mingliang LUO^*(), Beiyu LIANG, Xiaoli CHANG, Wei XIANG, Bin ZHANG

School of Land and Resources, China West Normal University, Nanchong 637009, Sichuan, China

Received:2016-01-01 Revised:2016-05-01 Online:2016-07-20 Published:2016-07-20
Contact: Mingliang LUO

摘要/Abstract

摘要：

为探索不同空间插值方法得到的DEM如何影响土壤侵蚀模拟效果,本文选择金沙江干热河谷区典型冲沟为研究对象,利用野外测量高程数据,采用反距离加权(IDW)、析取克里格(DK)、局部多项式(LPI)和张力样条函数(ST)4种方法构建高精度DEM。基于USPED模型模拟冲沟的土壤侵蚀,对比不同空间插值方法的精度、土壤侵蚀的空间分布,采用相对差系数对比不同插值在土壤侵蚀研究中的相似性。结果表明：DEM空间插值的精度排序为ST

关键词: 土壤侵蚀, 空间插值, USPED, 相对差系数, 冲沟

Abstract:

Digital elevation models (DEMs) have been widely used in soil erosion simulation, but how different interpolation methods affect the simulation results is not well researched. In this article, a typical gully in the dry-hot valley of the Jinsha River was selected as the case study area. First, field measurement of elevations of the gully was preformed. Inverse Distance Weighted (IDW), Disjunctive Kriging (DK), Spline with Tension (ST), and Local Polynomial Interpolation (LPI) methods were then used to produce high-precision DEMs of the gully. The United Stream Power-based Erosion Deposition (USPED) model was used to simulate the spatial distribution of erosion and deposition in the gully. The coefficient of relative difference was used to analyze the similarity of USPED results. The result shows that the precision of DEMs from high to low is: DK, LPI, IDW, and ST. The results of USPED simulation show that DK revealed the main distribution pattern of erosion and deposition, but IDW highlighted the details, and LPI and ST were in-between. The coefficient of relative difference shows that IDW was similar with other interpolation methods in soil erosion simulation, but when the layout of sampling points is reasonable and the density of the sampling points is sufficiently high, IDW is more suitable for soil erosion simulation using USPED.

Key words: soil erosion, spatial interpolation, USPED, coefficient of relative difference, gully

徐亚莉, 罗明良, 梁倍瑜, 昌小莉, 向卫, 张斌. DEM空间插值方法对土壤侵蚀模拟的影响研究——以USPED分析干热河谷典型冲沟为例[J]. 地理科学进展, 2016, 35(7): 870-877.

Yali XU, Mingliang LUO, Beiyu LIANG, Xiaoli CHANG, Wei XIANG, Bin ZHANG. Effects of different DEM spatial interpolation methods on soil erosion simulation:A case study of a typical gully of dry-hot valley based on USPED[J]. PROGRESS IN GEOGRAPHY, 2016, 35(7): 870-877.

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数据集	误差项	插值方法
数据集	误差项	IDW	DK	LPI	ST
样本数据集	ME	0.0143	0.0030	0.0048	0.0061
样本数据集	RMSE	0.5252	0.3896	0.4199	0.7487
验证数据集	ME	-0.0030	-0.0059	0.0024	-0.0071
验证数据集	RMSE	0.5115	0.2758	0.4155	0.5157

插值方法	土壤侵蚀/沉积量
插值方法	最大沉积量	最大侵蚀量	沉积均值	侵蚀均值	侵蚀模拟均值
IDW	1848.97	1757.39	181.57	-159.05	4.37
LPI	1628.41	1592.21	170.25	-161.23	0.57
DK	1758.95	1538.18	161.49	-145.85	5.99
ST	1627.86	1592.53	169.94	-157.01	0.85

	IDW	LPI	DK	ST
A/m²	4573.00	4573.00	4573.00	4573.00
S/m²	796.65	746.50	667.29	784.99
SE/m²	426.38	383.10	324.39	372.60
SD/m²	370.27	363.40	342.90	412.39
SE/S	0.5352	0.5132	0.4861	0.4747
SD/S	0.4648	0.4868	0.5139	0.5253
S/A	0.1742	0.1632	0.1459	0.1717

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DEM空间插值方法对土壤侵蚀模拟的影响研究——以USPED分析干热河谷典型冲沟为例

Effects of different DEM spatial interpolation methods on soil erosion simulation:A case study of a typical gully of dry-hot valley based on USPED

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插值方法	DK	IDW	LPI	ST
DK	—	(0.55,0.65)	(0.59,0.68)	(0.65,0.75)
IDW	(0.41,0.56)	—	(0.56,0.69)	(0.82,0.66)
LPI	(0.52,0.61)	(0.52,0.59)	—	(0.71,0.74)
ST	(0.59,0.70)	(0.51,0.69)	(0.78,0.81)	—

插值方法	DK	IDW	LPI	ST
DK	—	(0.55,0.33)	(0.50,0.42)	(0.57,0.44)
IDW	(0.65,0.06)	—	(0.51,0.07)	(0.47,0.06)
LPI	(0.41,0.46)	(0.51,0.38)	—	(0.41,0.26)
ST	(0.49,0.33)	(0.57,0.20)	(0.42,0.37)	—