Quantification of Loess Landforms from Three-Dimensional Landscape Pattern Perspective by Using DEMs
Abstract
:1. Introduction
2. Materials and Methods
2.1. Study Area
2.2. Data Sources
2.3. Methods
2.3.1. Loess Landform Types Extraction
2.3.2. 3D Landscape Pattern Indices
3. Results
3.1. Extracted Loess Landform Types
3.2. Calculated Quantitative Indices
4. Discussion
4.1. Comparison of Loess Landform Classification Methods
4.2. Sensitivity of the 3D Landscape Pattern Indices to Topography
4.3. Analysis of Evolution Process between Loess Landform Types
4.4. Limitations and Future Research
5. Conclusions
Author Contributions
Funding
Data Availability Statement
Acknowledgments
Conflicts of Interest
References
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Data | Resolution | Purpose | Data Sources |
---|---|---|---|
DEMs | 12.5 m | Provide terrain information and texture for landform classification | National Aeronautics and Space Administration |
Remote sensing image | 2.38 m | Provide spectral information and texture for landform classification | Google Earth |
Slope | 12.5 m | Auxiliary data for landform classification | Calculated from DEMs |
Aspect | 12.5 m | Auxiliary data for landform classification | Calculated from DEMs |
River vector data | — | Auxiliary data for image segmentation | Upper and Middle Reaches Administration of the Yellow River |
Index | Formulation | Formula Description |
---|---|---|
Total length of edge (TE) | Ei is the surface edge length of patch i, n is the total number of patches of landform type | This indicator can reflect the total edge length of a particular landform type (unit: km). |
Mean patch size (MPS) | Ai is the total surface area of loess landform i, and Ni is the total number of patches of landform type i. | This indicator can reflect a specific landform type’s average patch area size (unit: km2). |
Mean patch fractal dimension (MPFD) | pi is the surface circumference of patch i, ai is the surface area of patch i, n is the total number of patches i. | The value range of MPFD is between 1–2, and the larger the value, the more complex the shape of the patch. |
Landscape shape index (LSI) | E is the total length of the surface edge of a certain loess landform type, and Ai is the total surface area. | This indicator reflects the elongation of the patch. The larger the value of LSI, the longer the shape of the patch. |
Circularity index (CI) | Ei is the surface edge length of patch i, ai is the surface area of patch i. | This index is to quantify the shape of the patch. The closer the value is to 1, the closer the patch is to circle. |
Slope | Calculated in ArcGIS platform | The index represents the topographic features of the patch (°). |
Edge dimension index (EDI) | pi is the surface circumference of patch i, ai is the surface area of patch i. | This index reflects the complexity of the shape of the patch. |
Landform Types | Classification Rules | Description |
---|---|---|
Loess tableland | (a) Ses = 36, Bri > 134, DEMs > 1335, slo < 7 | The loess tableland is a large and flat plain that remains after the original loess plain is cut by gullies. |
(d) Ses = 36, Bri > 319, DEMs > 1115, slo < 6 | ||
Loess ridge | (a) Area < 10 km2, LWR > 3 | The loess ridge is a long strip of high elevation with a long shape and a narrow width. The area is significantly smaller than the loess tableland and surrounded by loess gullies. |
(b) Ses = 40, area > 1 km2, LWR > 3 | ||
(c) Ses = 32, area > 0.3 km2 LWR > 2 | ||
(d) Area < 20 km2, LWR > 5 | ||
Loess hill | Area < 1 km2, LWR < 2.5, slo < 10° | The loess hill is a round, nearly circular loess mound, an independent patch with an area usually less than 1 km2. |
Sample | Manually Sketched Area | Correctly Classified Area | Accuracy |
---|---|---|---|
a | 17.32 km2 | 15.15 km2 | 87.47% |
b | 21.46 km2 | 18.52 km2 | 86.3% |
c | 14.60 km2 | 11.86 km2 | 81.23% |
d | 28.16 km2 | 26.32 km2 | 93.47% |
total | 81.54 km2 | 71.85 km2 | 88.12% |
Sample | TE | MPS | MPFD | LSI | CI | Slope | EDI | |
---|---|---|---|---|---|---|---|---|
Sample a | Loess tableland | 97.07 | 12.67 | 1.58 | 6.35 | 1.68 | 5.14 | 11.27 |
Loess ridge | 14.18 | 2.07 | 1.37 | 2.72 | 2.05 | 4.99 | 7.94 | |
Loess hill | 1.71 | 0.20 | 1.22 | 0.94 | 1.24 | 6.13 | 2.46 | |
Sample b | Loess ridge | 3.07 | 1.35 | 1.43 | 1.16 | 1.73 | 5.66 | 5.42 |
Loess hill | 1.47 | 0.10 | 1.22 | 0.85 | 1.18 | 7.14 | 2.03 | |
Sample c | Loess ridge | 8.02 | 1.92 | 1.43 | 1.65 | 2.14 | 4.62 | 4.28 |
Loess hill | 1.61 | 0.13 | 1.18 | 1.13 | 1.37 | 6.22 | 1.72 | |
Sample d | Loess tableland | 399.23 | 113.95 | 1.42 | 9.43 | 1.46 | 3.01 | 8.47 |
Loess ridge | 72.86 | 12.52 | 1.33 | 5.41 | 1.44 | 5.72 | 3.38 | |
Loess hill | 5.65 | 0.22 | 1.24 | 2.46 | 1.14 | 8.32 | 1.66 | |
Average | Loess tableland | 248.15 | 63.31 | 1.50 | 7.89 | 1.57 | 4.08 | 9.87 |
Loess ridge | 24.53 | 4.47 | 1.39 | 2.74 | 1.84 | 5.25 | 5.26 | |
Loess hill | 2.61 | 0.16 | 1.22 | 1.34 | 1.23 | 6.95 | 1.97 |
TE | MPS | MPFD | LSI | CI | Slope | EDI | ||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
2D | 3D | 2D | 3D | 2D | 3D | 2D | 3D | 2D | 3D | 2D | 3D | 2D | 3D | |
LT | 208.53 | 248.15 | 60.29 | 63.31 | 1.33 | 1.50 | 7.96 | 7.89 | 1.51 | 1.57 | 4.08 | 4.08 | 9.80 | 9.87 |
LR | 22.31 | 24.53 | 4.11 | 4.47 | 1.37 | 1.39 | 2.83 | 2.74 | 1.77 | 1.84 | 5.25 | 5.25 | 5.21 | 5.26 |
LH | 2.37 | 2.61 | 0.14 | 0.16 | 1.14 | 1.22 | 1.42 | 1.34 | 1.19 | 1.23 | 6.95 | 6.95 | 1.81 | 1.97 |
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Wei, H.; Li, S.; Li, C.; Zhao, F.; Xiong, L.; Tang, G. Quantification of Loess Landforms from Three-Dimensional Landscape Pattern Perspective by Using DEMs. ISPRS Int. J. Geo-Inf. 2021, 10, 693. https://0-doi-org.brum.beds.ac.uk/10.3390/ijgi10100693
Wei H, Li S, Li C, Zhao F, Xiong L, Tang G. Quantification of Loess Landforms from Three-Dimensional Landscape Pattern Perspective by Using DEMs. ISPRS International Journal of Geo-Information. 2021; 10(10):693. https://0-doi-org.brum.beds.ac.uk/10.3390/ijgi10100693
Chicago/Turabian StyleWei, Hong, Sijin Li, Chenrui Li, Fei Zhao, Liyang Xiong, and Guoan Tang. 2021. "Quantification of Loess Landforms from Three-Dimensional Landscape Pattern Perspective by Using DEMs" ISPRS International Journal of Geo-Information 10, no. 10: 693. https://0-doi-org.brum.beds.ac.uk/10.3390/ijgi10100693