Landscape Pattern Reconfiguration and Surface Runoff Response Driven by Vegetation Restoration in the Loess Plateau
Abstract
1. Introduction
2. Materials and Methods
2.1. Study Area
2.2. Data Sources
2.3. Optimization of Landscape Pattern Indices Incorporating Multiple Factors
2.4. Partial Least-Squares Regression (PLSR)
2.5. Piecewise Structural Equation Modeling (piecewiseSEM)
3. Results
3.1. Changing Characteristics of Surface Runoff and Precipitation
3.2. Variations in the Landscape Patterns
3.3. Simulations on Surface Runoff Incorporating Landscape Effects
3.4. Influencing Pathways of Landscape Patterns on Surface Runoff Variations
4. Discussion
4.1. Landscape Transformation and Hydrological Response Under Ecological Restoration
4.2. Synergistic Effects of Climate and Landscape Patterns on Runoff Dynamics
4.3. Application and Optimization of Landscape Metrics in Hydrological Analysis
4.4. Limitations and Uncertainties
5. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
References
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| ID | Catchment | Control Station | Drainage Area (km2) | Runoff Depth (mm) | Precipitation (mm) | Mean Slope (°) | Mean Drainage Density (km/km2) | Dominant Soil Texture | Main Land Cover Types |
|---|---|---|---|---|---|---|---|---|---|
| 1 | Pianguanhe | Pianguan | 1896 | 14.86 | 440.6 | 12.61 | 2.01 | Silt loam | Dry land, Dense grass |
| 2 | Huangfuchuan | Huangfu | 3175 | 35.17 | 393.1 | 7.58 | 0.54 | Silt loam | Moderate grass, Sparse grass, Dry land |
| 3 | Gushanchuan | Gaoshiya | 1263 | 47.16 | 437.1 | 10.03 | 0.55 | Silt loam | Moderate grass, Dry land |
| 4 | Zhujiachuan | Qiaotou | 2901 | 7.95 | 476.9 | 10.35 | 0.71 | Silt loam | Dry land, Shrub |
| 5 | Dongchuanhe | Kelan | 474 | 44.61 | 497.0 | 11.61 | 1.72 | Silt loam | Dry land, Shrub |
| 6 | Weifenhe | Bicun | 650 | 62.57 | 504.5 | 15.49 | 1.76 | Silt loam | Forest, Dry land |
| 7 | Boniuchuan | Xinmiao | 1527 | 52.27 | 389.9 | 6.3 | 0.55 | Silt loam | Moderate grass, Sparse grass |
| 8 | Kuyehe | Wenjiachuan | 8515 | 43.34 | 379.4 | 4.1 | 0.54 | Silt loam | Sparse grass, Moderate grass |
| 9 | Tuweihe | Gaojiachuan | 3253 | 95.42 | 427.4 | 5.68 | 2.23 | Silt loam | Sparse grass, Dry land |
| 10 | Jialuhe | Shenjiawan | 1121 | 48.30 | 459.9 | 10.27 | 2.08 | Loam | Dry land, Sparse grass |
| 11 | Qingliangsigou | Yangjiapo | 283 | 37.74 | 504.4 | 14.66 | 1.62 | Loam | Dry land, Sparse grass |
| 12 | Qiushuihe | Linjiaping | 1873 | 33.96 | 508.0 | 12.43 | 2.4 | Silt loam | Dry land, Sparse grass |
| 13 | Sanchuanhe | Houdacheng | 4102 | 49.93 | 520.6 | 14.06 | 2.12 | Silt loam | Shrub, Dry land |
| 14 | Quchanhe | Peigou | 1023 | 29.78 | 520.5 | 14.48 | 1.85 | Silt loam | Sparse grass, Dry land |
| 15 | Hailiutuhe | Hanjiamao | 2348 | 35.87 | 384.4 | 3.18 | 1.81 | Silt loam | Sandy land, Sparse grass |
| 16 | Luhe | Hengshan | 2415 | 26.20 | 431.1 | 8.53 | 0.56 | Silt loam | Dry land, Sparse grass |
| 17 | Heimutouchuan | Dianshi | 327 | 37.11 | 421.3 | 10.12 | 0.55 | Silt loam | Dry land, Sparse grass |
| 18 | Mahuyu | Mahuyu | 371 | 41.51 | 457.3 | 11.43 | 0.54 | Silt loam | Dry land, Sparse grass |
| 19 | Dalihe | Qingyangcha | 1260 | 21.27 | 455.8 | 13.58 | 1.84 | Silt loam | Dry land, Sparse grass, Moderate grass |
| 20 | Xiaolihe | Lijiahe | 807 | 31.20 | 443.6 | 11.68 | 0.52 | Silt loam | Dry land, Sparse grass |
| 21 | Chabagou | Caoping | 187 | 39.46 | 471.5 | 12.51 | 0.58 | Silt loam | Dry land, Moderate grass |
| 22 | Qingjianhe | Yanchuan | 3468 | 37.55 | 501.6 | 15.35 | 2.06 | Silt loam | Dry land, Moderate grass |
| 23 | Xinshuihe | Daning | 3992 | 28.79 | 532.7 | 13.67 | 2.17 | Silt loam | Sparse grass, Shrub, Dry land |
| 24 | Yanhe | Ganguyi | 5891 | 36.93 | 504.0 | 15.39 | 0.55 | Silt loam | Dry land, Sparse grass, Moderate grass |
| 25 | Fenchuanhe | Xinshi | 1662 | 17.48 | 531.6 | 15.01 | 1.88 | Silt loam | Shrub, Dense grass |
| 26 | Shiwangchuan | Dacun | 2141 | 32.82 | 538.2 | 14.62 | 0.76 | Silt loam | Shrub, Dense grass |
| 27 | Zhouchuanhe | Jixian | 436 | 29.13 | 537.1 | 15.99 | 1.85 | Silt loam | Sparse grass, Shrub |
| Data Type | Source | Website | Period | Resolution |
|---|---|---|---|---|
| Runoff | the Yellow River Water Conservancy Commission | - | 1960–2015 | Annual |
| Precipitation | the National Meteorological Information Centre | http://data.cma.cn (accessed on 23 May 2018) | 1960–2015 | Daily, 43 stations |
| Land cover | the National Special Environment and Function of Observation and Research Stations Shared Service Platform | http://www.crensed.ac.cn/portal (accessed on 1 May 2020) | 1990, 2000, 2005, 2010, and 2015 | 30 m |
| Vegetation coverage | the National Geospatial Data Cloud | https://www.gscloud.cn (accessed on 1 May 2020) | 1990–2015 | 500 m |
| DEM (the Digital Elevation Model) | the National Geospatial Data Cloud | https://www.gscloud.cn (accessed on 1 May 2020) | - | 30 m |
| Soil | the Loess Plateau Data Center | https://loess.geodata.cn (accessed on 1 May 2020) | - | 1:1,000,000 |
| Category | Index Name | Abbreviation | Unit |
|---|---|---|---|
| Area index | Patch density | PD | n/100 ha |
| Largest patch index | LPI | % | |
| Mean patch size | AREA_MN | ha | |
| Fragmentation index | Edge density | ED | m/ha |
| Euler nearest neighbors distance | ENN_MN | m | |
| Shape index | Landscape shape index | LSI | - |
| Mean shape index | SHAPE_MN | - | |
| Mean perimeter-area ratio | PARA_MN | - | |
| Perimeter area fractal dimension | PAFRAC | - | |
| Spatial structure index | Contagion index | CONTAG | % |
| Interspersion juxtaposition index | IJI | % | |
| Division index | DIVISION | % | |
| Splitting index | SPLIT | % | |
| Aggregation index | AI | % | |
| Evenness index | Shannon’s diversity index | SHDI | - |
| Simpson index | SIDI | - | |
| Shannon’s evenness index | SHEI | - |
| Year | PD | LPI | ED | LSI | AREA_MN | SHAPE_MN | PARA_MN | PAFRAC | ENN_MN | CONTAG | IJI | DIVISION | SPLIT | SHDI | SIDI | SHEI | AI |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 1990 | 0.67 | 0.33 | 17.38 | 146.08 | 148.18 | 1.08 | 38.21 | 1.62 | 8359.91 | 41.10 | 56.84 | 1.00 | 18,761.39 | 6.71 | 0.99 | 0.74 | 14.66 |
| 2000 | 0.68 | 0.29 | 17.41 | 146.19 | 147.52 | 1.05 | 38.22 | 1.59 | 8872.33 | 41.08 | 58.52 | 1.00 | 20,504.96 | 6.93 | 1.00 | 0.79 | 14.01 |
| 2005 | 0.70 | 0.13 | 17.58 | 147.65 | 143.66 | 1.04 | 38.26 | 1.58 | 9400.65 | 40.17 | 59.28 | 1.00 | 30,939.81 | 7.05 | 1.00 | 0.80 | 13.13 |
| 2010 | 0.70 | 0.11 | 17.60 | 147.83 | 143.38 | 1.04 | 38.27 | 1.58 | 9297.15 | 39.93 | 59.49 | 1.00 | 32,109.25 | 7.05 | 1.00 | 0.80 | 13.04 |
| 2015 | 0.71 | 0.08 | 17.64 | 147.94 | 142.95 | 1.04 | 38.28 | 1.60 | 8982.51 | 39.57 | 59.83 | 1.00 | 35,426.32 | 7.07 | 1.00 | 0.81 | 12.92 |
| Year | PD | LPI | ED | LSI | AREA_MN | SHAPE_MN | PARA_MN | PAFRAC | ENN_MN | CONTAG | IJI | DIVISION | SPLIT | SHDI | SIDI | SHEI | AI |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 1990 | 0.582 * | −0.530 * | 0.597 * | 0.446 | −0.546 * | −0.545 * | 0.640 ** | 0.541 * | −0.331 | −0.087 | 0.033 | 0.524 * | 0.578 * | 0.032 | −0.083 | −0.092 | −0.598 * |
| 2000 | 0.710 ** | −0.549 * | 0.725 ** | 0.099 | −0.653 ** | −0.613 ** | 0.700 ** | 0.668 ** | −0.506 * | −0.358 | 0.222 | 0.324 | 0.437 | −0.370 | −0.402 | 0.054 | −0.728 ** |
| 2005 | 0.606 ** | −0.573 ** | 0.621 ** | 0.214 | −0.623 ** | −0.585 ** | 0.679 ** | 0.551 * | −0.420 | −0.204 | 0.138 | 0.183 | 0.515 * | −0.313 | −0.407 | −0.137 | −0.629 ** |
| 2010 | 0.517 * | −0.568 * | 0.534 * | 0.312 | −0.570 * | −0.466 * | 0.590 ** | 0.512 * | −0.265 | −0.200 | 0.414 | 0.313 | 0.483 * | 0.102 | 0.124 | 0.116 | −0.531 * |
| 2015 | 0.589 ** | −0.560 * | 0.606 ** | 0.216 | −0.613 ** | −0.597 ** | 0.622 ** | 0.620 ** | −0.405 | −0.363 | 0.1214 | 0.205 | 0.574 ** | −0.340 | −0.485 * | −0.021 | −0.607 ** |
| Total | 0.614 ** | −0.536 ** | 0.620 ** | 0.150 | −0.612 ** | −0.569 ** | 0.664 ** | 0.608 ** | −0.403 ** | −0.279 * | 0.175 | 0.289 * | 0.443 ** | −0.250 * | −0.330 ** | −0.027 | −0.622 ** |
| Y | R2 | Q2 | Component | Explained Variability in Y/% | Cumulative Explained Variability in Y% | RMSECV | Q2cum |
|---|---|---|---|---|---|---|---|
| runoff coefficient | 0.646 | 0.579 | 1 | 41.7 | 41.7 | 0.015 | 0.402 |
| 2 | 7.86 | 49.6 | 0.014 | 0.456 | |||
| 3 | 6.82 | 56.4 | 0.012 | 0.500 | |||
| 4 | 8.20 | 64.6 | 0.011 | 0.579 |
| Year | PD | LPI | ED | LSI | AREA_MN | SHAPE_MN | PARA_MN | PAFRAC | ENN_MN | CONTAG | IJI | DIVISION | SPLIT | SHDI | SIDI | SHEI | AI |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 1990 | 0.489 * | 0.473 * | 0.523 * | 0.326 | −0.512 * | −0.230 | 0.216 | 0.488 * | −0.427 | −0.037 | −0.313 | −0.211 | −0.378 | −0.268 | −0.187 | −0.212 | −0.488 * |
| 2000 | 0.479 * | 0.192 | 0.610 ** | 0.196 | −0.546 * | −0.272 | 0.541 * | 0.581 ** | −0.570 * | −0.098 | −0.379 | −0.117 | −0.286 | −0.320 | −0.142 | −0.101 | −0.613 ** |
| 2005 | 0.534 * | −0.304 | 0.495 * | 0.283 | −0.641 ** | −0.396 | 0.332 | 0.542 * | −0.542 * | −0.015 | −0.219 | −0.224 | −0.336 | −0.299 | −0.212 | −0.142 | −0.493 * |
| 2010 | 0.507 * | −0.213 | 0.506 * | 0.361 | −0.550 * | −0.326 | 0.450 | 0.548 * | −0.553 * | −0.029 | −0.258 | −0.245 | −0.252 | −0.158 | −0.150 | −0.159 | −0.529 * |
| 2015 | 0.538 * | 0.200 | 0.607 ** | 0.225 | −0.488 * | −0.480 * | 0.622 ** | 0.408 | −0.587 ** | −0.620 | −0.416 | −0.190 | −0.118 | −0.143 | −0.029 | 0.226 | −0.611 ** |
| Total | 0.512 ** | 0.286 * | 0.547 ** | 0.168 | −0.482 ** | −0.305 * | 0.359 ** | 0.493 ** | −0.524 ** | −0.081 | −0.273 * | −0.147 | −0.234 * | −0.267 * | −0.159 | −0.116 | −0.542 ** |
| Year | PD | LPI | ED | LSI | AREA_MN | SHAPE_MN | PARA_MN | PAFRAC | ENN_MN | CONTAG | IJI | DIVISION | SPLIT | SHDI | SIDI | SHEI | AI |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 1990 | 0.495 * | 0.513 * | 0.487 * | 0.205 | −0.523 * | −0.490 * | 0.506 * | 0.347 | −0.221 | −0.129 | −0.118 | −0.256 | 0.506 * | −0.162 | −0.196 | −0.106 | −0.499 * |
| 2000 | 0.562 * | 0.581 ** | 0.560 * | 0.283 | −0.547 * | −0.495 * | 0.591 ** | 0.489 * | −0.263 | −0.232 | 0.157 | 0.410 | 0.513 * | −0.066 | −0.118 | 0.024 | −0.557 * |
| 2005 | 0.519 * | −0.570 * | 0.501 * | 0.393 | −0.555 * | −0.552 * | 0.623 ** | 0.350 | −0.240 | −0.101 | 0.105 | 0.297 | 0.641 ** | −0.102 | −0.205 | −0.118 | −0.508 * |
| 2010 | 0.418 | −0.546 * | 0.426 | 0.399 | −0.492 * | −0.386 | 0.517 * | 0.384 | −0.137 | −0.101 | 0.071 | 0.335 | 0.507 * | 0.245 | 0.256 | 0.087 | −0.421 |
| 2015 | 0.569 * | −0.532 * | 0.556 * | 0.218 | −0.570 * | −0.561 * | 0.633 ** | 0.501 * | −0.267 | −0.262 | 0.178 | 0.113 | 0.391 | −0.163 | −0.343 | −0.025 | −0.559 * |
| Total | 0.527 ** | −0.544 * | 0.510 ** | 0.294 * | −0.526 ** | −0.488 ** | 0.521 ** | 0.418 ** | −0.175 | −0.131 | 0.089 | 0.242 | 0.513 ** | −0.116 * | −0.148 | −0.093 | −0.536 ** |
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Share and Cite
Shao, Y.; Yang, X.; Tan, X.; Wu, H.; Qiao, Y.; Lei, X. Landscape Pattern Reconfiguration and Surface Runoff Response Driven by Vegetation Restoration in the Loess Plateau. Sustainability 2026, 18, 3206. https://doi.org/10.3390/su18073206
Shao Y, Yang X, Tan X, Wu H, Qiao Y, Lei X. Landscape Pattern Reconfiguration and Surface Runoff Response Driven by Vegetation Restoration in the Loess Plateau. Sustainability. 2026; 18(7):3206. https://doi.org/10.3390/su18073206
Chicago/Turabian StyleShao, Yiting, Xiaonan Yang, Xuejin Tan, Hanrui Wu, Yu Qiao, and Xuben Lei. 2026. "Landscape Pattern Reconfiguration and Surface Runoff Response Driven by Vegetation Restoration in the Loess Plateau" Sustainability 18, no. 7: 3206. https://doi.org/10.3390/su18073206
APA StyleShao, Y., Yang, X., Tan, X., Wu, H., Qiao, Y., & Lei, X. (2026). Landscape Pattern Reconfiguration and Surface Runoff Response Driven by Vegetation Restoration in the Loess Plateau. Sustainability, 18(7), 3206. https://doi.org/10.3390/su18073206

