DEM提取黄土高原地面坡度的不确定性

doi:10.11821/xb200306004

Abstract

Abstract:

Slope is one of crucial terrain variables in spatial analysis and land use planning, especially in the Loess Plateau area of China where rugged terrains enhance serious soil erosion. DEM based on slope extracting method has been widely accepted and applied in practice. However slope accuracy derived from this method usually does not match with their popularity. A quantitative simulation to slope data uncertainty is important not only theoretically but also necessarily to applications. This paper focuses on how resolution and terrain complexity impact the accuracy of mean slope extracted from DEMs of different resolutions in the Loess Plateau. Six typical geomorphologic areas are selected as test areas, representing different terrain types from smooth to rough. Their DEMs are produced from digitizing contours of 1:10000 scale topographical maps. Field survey results show that 5 m should be the most suitable grid size for representing slope in loess area. Comparative and math-simulation methodology was employed for data processing and analysis. A linear correlativity between mean slope and DEM resolution was found at all test areas, but their regression coefficients were closely related with the terrain complexity of the test areas. If stream channel density was taken to represent terrain complexity, mean slope error could be regressed against DEM resolution (X) and stream channel density (S) at 8 resolution levels could be expressed as (0.0015S2 + 0.031S - 0.0325)X - 0.0045S2 - 0.155S + 0.1625, with a R₂ value of over 0.98. Practical tests also show an effective result of this model in applications.

Key words: Loess Plateau, DEM, slope, resolution, uncertainty

TANG Guoan, ZHAO Mudan, LI Tianwen, LIU Yongmei, XIE Yuanli. Modeling Slope Uncertainty Derived from DEMs in Loess Plateau[J].Acta Geographica Sinica, 2003, 58(6): 824-830.

References

[1] Tang Guoan. A Research on the Accuracy of Digital Elevation Models. Beijing and New York: Science Press, 2000.

[2] Ahmadzadeh M R, Petrou M. Error statistics for slope and aspect when derived from interpolated data. IEEE Transactions on Geoscience and Remote Sensing, 2001, 39(9): 1823-1833.

[3] Tang Guoan, Yang Qinke, Zhang Yong et al. Research on accuracy of slope derived from DEMs of different map scales, Bulletin of Soil and Water Conservation, 2001, 21(1): 53-56.
[汤国安, 杨勤科, 张勇等. 不同比例尺DEM提取地面坡度的精度研究. 水土保持通报, 2001, 21(1): 53-56.]

[4] Bolstad P V, Stowe T. An evaluation of DEM accuracy - elevation, slope, and aspect. Photogrammetric Engineering and Remote Sensing, 1994, 60(11): 1327-1332.

[5] Giles P, Franklin S E. Comparison of derivation topographic surfaces of a DEM generated from stereoscopic SPOT images with field measurements. Photogrammetric Engineering and Remote Sensing, 1996, 62(10): 1165-1171.

[6] Chang K, Tsai B. The effect of DEM resolution on slope and aspect mapping. Cartography and Geographic Information Systems, 1991, 18(1): 69-77.

[7] Carter J. The effect of data precision on the calculation of slope and aspect using gridded DEMs. Cartographica, 1992, 29(1): 22-34.

[8] Gao J. Resolution and accuracy of terrain representation by grid DEMs at a micro-scale. Int. J. Geographical Information Science, 1997, 11(2): 199-212.

[9] Tang Guoan, Chen Nan et al. A comparison on digital terrain models of different scales in loess hilly and gully area. Bulleten of Soil and Water Conservation, 2001, 21(2): 34-36.
[汤国安, 陈楠等. 黄土丘陵沟壑区1:1万及1:5万比例尺DEM地形信息容量对比. 水土保持通报, 2001, 21(2): 34-36.]

[10] Holmes K W, Chadwick O A, Kyriakidis P C. Error in a USGS 30-meter digital elevation model and its impact on terrain modelling. Journal of Hydrology, 2000, 233(1-4): 154-173.

[11] Florinsky I V. Accuracy of local topographic variables derived from digital elevation model. International Journal of Geographical Information Science, 1998, 12(1): 47-61.

[12] Walker J P, Willgoose G R. On the effect of digital elevation model accuracy on hydrology and geomorphology. Water Resources Research, 1999, 35(7): 2259-2268.

[13] Thompson J A, Bell J C, Butler C A. Digital elevation model resolution: effects on terrain attribute calculation and quantitative soil-landscape modelling. Geoderma, 2001, 100(1-2): 67-89.

[14] Giles P T, Franklin S E. An automated approach to the classification of the slope units using digital data. Geomorphology, 1998, 21(3-4): 251-264.

[15] Wang G X, Gertner G, Parysow P et al. Spatial prediction and uncertainty assessment of topographic factor for revised universal soil loss equation using digital elevation models, ISPRS Journal of Photogrammetry and Remote Sensing, 2001, 56(1): 65-80.

[16] Burrough P A. Principles of Geographical Information Systems for Land Resources Assessment. New York: Oxford University Press, 1986.

[17] John P Wilson, John C Gallant. Terrain Analysis: Principles and Applications. New York: Wiley Press, 2001.

Modeling Slope Uncertainty Derived from DEMs in Loess Plateau

PDF (PC)

Like

Knowledge

Cited

Abstract

Cite this article

share this article

References

Related Articles 15

Metrics

Comments

[1]	HE Peidong. Academic thoughts and achievements in regional geography of Zhang Qiyun [J]. Acta Geographica Sinica, 2021, 76(1): 235-247.
[2]	LIU Qinglan, CHEN Junqing, CHEN Shenliang. Spatiotemporal evolution of Yellow River estuarine channel and its influencing factors since the water-sediment regulation scheme [J]. Acta Geographica Sinica, 2021, 76(1): 139-152.
[3]	LIU Yanxu, FU Bojie, WANG Shuai, ZHAO Wenwu, LI Yan. Research progress of human-earth system dynamics based on spatial resilience theory [J]. Acta Geographica Sinica, 2020, 75(5): 891-903.
[4]	ZHANG Kun, LYU Yihe, FU Bojie, YIN Lichang, YU Dandan. The effects of vegetation coverage changes on ecosystem service and their threshold in the Loess Plateau [J]. Acta Geographica Sinica, 2020, 75(5): 949-960.
[5]	YAO Yonghui, ZHANG Junyao, SUONAN Dongzhu. Compilation of 1∶50000 vegetation type map with remote sensing images based on mountain altitudinal belts of Taibai Mountain in the north-south transitional zone of China [J]. Acta Geographica Sinica, 2020, 75(3): 620-630.
[6]	LU Daming, YANG Xinjun, SHI Yuzhong, WANG Ziqiao. Rural regime shifts and transformation development on the Loess Plateau [J]. Acta Geographica Sinica, 2020, 75(2): 348-364.
[7]	OUYANG Zhu, DENG Xiangzheng, SUN Zhigang, LONG Hualou, ZHANG Linxiu, LI Fadong, JIN Gui. Regional agricultural research in contributing to national economic development [J]. Acta Geographica Sinica, 2020, 75(12): 2636-2654.
[8]	GE Quansheng, LIU Weidong, SUN Honglie, ZHENG Du, SUN Jiulin, LU Dadao, FANG Chuanglin, YANG Linsheng. High-end geography and resource think-tank to meet the demands of national development [J]. Acta Geographica Sinica, 2020, 75(12): 2655-2668.
[9]	LI Gang, WANG Jiaobei, XU Tingting, GAO Xing, JIN Annan, YU Yue. Spatio-temporal evolution process and integrated measures for prevention and control of COVID-19 epidemic in China [J]. Acta Geographica Sinica, 2020, 75(11): 2475-2489.
[10]	WANG Juanle, ZHANG Min, HAN Xuehua, WANG Xiaojie, ZHENG Li. Spatio-temporal evolution and regional differences of the public opinion on the prevention and control of COVID-19 epidemic in China [J]. Acta Geographica Sinica, 2020, 75(11): 2490-2504.
[11]	YE Yuyao, WANG Changjian, ZHANG Hong'ou, YANG Ji, LIU Zhengqian, WU Kangmin, DENG Yingbin. Spatio-temporal analysis of COVID-19 epidemic risk in Guangdong Province based on population migration [J]. Acta Geographica Sinica, 2020, 75(11): 2521-2534.
[12]	LIU Xiaoyan, LIU Changming, DANG Suzhen. Effects of rainfall intensity on sediment concentration in loess hilly region of China [J]. Acta Geographica Sinica, 2019, 74(9): 1723-1732.
[13]	LIU Licheng, LIU Chunfang, WANG Chuan, LI Pengjie. Supply and demand matching of ecosystem services in loess hilly region: A case study of Lanzhou [J]. Acta Geographica Sinica, 2019, 74(9): 1921-1937.
[14]	XIN Rui, DUAN Keqin. Numerical simulation and spatial distribution of summer precipitation in the Qinling Mountains [J]. Acta Geographica Sinica, 2019, 74(11): 2329-2341.
[15]	GONG Shengsheng, CHEN Yun. The historical change, mathematical fitting and geographical significance of demographic borderlines in China [J]. Acta Geographica Sinica, 2019, 74(10): 2147-2162.