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

Abstract

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

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.

Figures/Tables 7

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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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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)	—