Derivation of the Spatial Distribution of Free Water Storage Capacity Based on Topographic Index
Abstract
:1. Introduction
2. Parameterization of WM and SM in the XAJ Model
3. Spatial Distribution of SM in the GXM
3.1. Runoff Generation and Separation
3.2. Estimation of SM in the GXM
3.3. Estimation of from Topographic Index
4. Case Studies
4.1. Study Areas and Data
4.2. Testing the GXM
5. Results and Discussion
5.1. GXM Simulations of the Chenhe Watershed
5.2. GXM Simulations for the Changhua Watershed
5.3. Comparison of the XAJ Model and GXM with SM, Estimated Using the Terrain Method
5.4. Comparison of Terrain Method and VS Method
6. Conclusions
Author Contributions
Funding
Acknowledgments
Conflicts of Interest
Abbreviation
tension water capacity | |
the minimum within watershed | |
the maximum within watershed | |
The free water capacity | |
is the maximum within watershed | |
S | free water storage |
the area of the watershed whose tension water capacity is less than or equal to | |
The total watershed area | |
the portion of the basin area with free water storage capacity less than or equal to | |
the runoff contributing area | |
the exponent of the tension water capacity distribution curve | |
the proportion of impermeable area to total watershed area | |
the exponent of the free water capacity distribution curve | |
surface flow | |
interflow | |
groundwater runoff | |
outflow coefficient of free water storage to interflow | |
outflow coefficient of free water storage to groundwater flow | |
saturation water content | |
field capacity | |
wilting point | |
humus thickness | |
unsaturated zone thickness | |
the minimum of the watershed | |
the maximum of the watershed | |
The coefficients and are parameterized in terms of topographic index and | |
the topographic index | |
the minimum topographic index of the watershed | |
the maximum topographic index of the watershed | |
empirical coefficients (refer to Shi et al., 2008) | |
empirical coefficients (refer to Shi et al., 2008) |
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Period | FloodNo | Robs (mm) | Rsim (mm) | RRE (%) | Qobs (m3/s) | Qsim (m3/s) | RPE (%) | RTE | NS |
---|---|---|---|---|---|---|---|---|---|
Cal | 2003090319 | 67.3 | 70.7 | 5.07 | 740 | 764 | 3.27 | −1 | 0.96 |
2003091711 | 76.3 | 79.0 | 3.54 | 694 | 714 | 2.91 | −3 | 0.89 | |
2005092413 | 191.7 | 223.0 | 16.30 | 1191 | 1295 | 8.79 | −2 | 0.75 | |
2005092520 | 175.1 | 202.3 | 15.48 | 1740 | 1847 | 6.15 | 2 | 0.78 | |
2008071909 | 27.4 | 29.6 | 7.90 | 618 | 626 | 1.26 | −1 | 0.79 | |
2009071419 | 32.9 | 38.8 | 18.04 | 195 | 200 | 2.37 | 1 | 0.86 | |
Ver | 2010072116 | 68.9 | 79.1 | 14.76 | 527 | 624 | 18.35 | −1 | 0.75 |
2011091008 | 57.4 | 59.2 | 2.98 | 865 | 805 | −6.93 | 2 | 0.93 | |
2011091520 | 110.1 | 105.0 | −4.56 | 1200 | 1131 | −5.79 | −2 | 0.96 | |
2012083013 | 84.5 | 78.9 | −6.64 | 1710 | 1718 | 0.47 | 0 | 0.91 |
Period | FloodNo | Robs (mm) | Rsim (mm) | RRE (%) | Qobs (m3/s) | Qsim (m3/s) | RPE (%) | RTE | NS |
---|---|---|---|---|---|---|---|---|---|
Cal | 1999062404 | 583.2 | 530.1 | −9.10 | 2100 | 1776 | −15.43 | 0 | 0.91 |
1999082923 | 73.2 | 72.2 | −1.40 | 950 | 934 | −1.68 | 1 | 0.97 | |
2000053008 | 61.6 | 60.3 | −2.15 | 761 | 780 | 2.56 | 0 | 0.90 | |
2000060312 | 44.4 | 47.9 | 7.89 | 548 | 524 | −4.42 | 0 | 0.91 | |
2000062108 | 78.1 | 82.5 | 5.57 | 700 | 713 | 1.89 | 1 | 0.86 | |
2000082407 | 88.6 | 95.4 | 7.73 | 643 | 570 | −10.48 | 0 | 0.90 | |
Ver | 2001060923 | 57.0 | 63.7 | 11.71 | 715 | 718 | 0.49 | 1 | 0.94 |
2002062703 | 97.4 | 96.2 | −1.22 | 1340 | 1382 | 3.13 | 1 | 0.91 | |
2003051207 | 72.6 | 66.7 | −8.14 | 445 | 456 | 2.45 | 1 | 0.91 | |
2004051205 | 87.7 | 95.2 | 8.55 | 368 | 399 | 8.37 | −2 | 0.87 |
Period | FloodNo | Robs (mm) | Rsim (mm) | RRE (%) | Qobs (m3/s) | Qsim (m3/s) | RPE (%) | RTE | NS |
---|---|---|---|---|---|---|---|---|---|
Cal | 2008061303 | 46.7 | 53.5 | 14.64 | 507 | 514 | 1.47 | 1 | 0.90 |
2010022508 | 220.5 | 234.7 | 6.41 | 742 | 700 | −5.72 | 2 | 0.89 | |
2009072316 | 83.9 | 100.7 | 19.93 | 248 | 279 | 12.56 | −1 | 0.93 | |
2009072805 | 53.9 | 52.8 | −2.14 | 499 | 556 | 11.47 | 1 | 0.84 | |
Ver | 2009092917 | 36.3 | 32.5 | −10.53 | 580 | 531 | −8.56 | −1 | 0.87 |
2009073116 | 27.7 | 29.3 | 5.67 | 390 | 350 | −10.33 | 0 | 0.85 | |
2010071305 | 121.3 | 110.1 | −9.30 | 632 | 691 | 9.29 | 2 | 0.75 |
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Tong, B.; Li, Z.; Yao, C.; Wang, J.; Huang, Y. Derivation of the Spatial Distribution of Free Water Storage Capacity Based on Topographic Index. Water 2018, 10, 1407. https://doi.org/10.3390/w10101407
Tong B, Li Z, Yao C, Wang J, Huang Y. Derivation of the Spatial Distribution of Free Water Storage Capacity Based on Topographic Index. Water. 2018; 10(10):1407. https://doi.org/10.3390/w10101407
Chicago/Turabian StyleTong, Bingxing, Zhijia Li, Cheng Yao, Jingfeng Wang, and Yingchun Huang. 2018. "Derivation of the Spatial Distribution of Free Water Storage Capacity Based on Topographic Index" Water 10, no. 10: 1407. https://doi.org/10.3390/w10101407