Chinese Bulletin of Botany ›› 2016, Vol. 51 ›› Issue (2): 226-234.DOI: 10.11983/CBB15055 cstr: 32102.14.CBB15055
• EXPERIMENTAL COMMUNICATIONS • Previous Articles Next Articles
Ying Liu1, Baozhang Chen1,2,*(
), Jing Chen2, Guang Xu2,3
Received:2015-03-31
Accepted:2015-09-21
Online:2016-03-01
Published:2016-03-31
Contact:
E-mail: Ying Liu, Baozhang Chen, Jing Chen, Guang Xu. Applicability of Evapotranspiration Simulation Models for Forest Ecosystems in Qianyanzhou[J]. Chinese Bulletin of Botany, 2016, 51(2): 226-234.
| Year | Screening interval (%) | ||||
|---|---|---|---|---|---|
| 0.2-1.8 | 0.3-1.7 | 0.4-1.6 | 0.5-1.5 | 0.6-1.4 | |
| 2003 | 62.23 | 58.19 | 53.69 | 47.93 | 41.13 |
| 2004 | 64.88 | 60.73 | 55.70 | 49.72 | 42.61 |
| 2005 | 38.34 | 34.02 | 29.44 | 24.76 | 20.01 |
| 2006 | 51.16 | 45.75 | 40.35 | 34.44 | 28.12 |
| 2007 | 60.33 | 55.88 | 50.45 | 44.19 | 37.65 |
Table 1 Available quantity of data for 2003-2007 based on the principle of conservation energy
| Year | Screening interval (%) | ||||
|---|---|---|---|---|---|
| 0.2-1.8 | 0.3-1.7 | 0.4-1.6 | 0.5-1.5 | 0.6-1.4 | |
| 2003 | 62.23 | 58.19 | 53.69 | 47.93 | 41.13 |
| 2004 | 64.88 | 60.73 | 55.70 | 49.72 | 42.61 |
| 2005 | 38.34 | 34.02 | 29.44 | 24.76 | 20.01 |
| 2006 | 51.16 | 45.75 | 40.35 | 34.44 | 28.12 |
| 2007 | 60.33 | 55.88 | 50.45 | 44.19 | 37.65 |
| Month | Models | |||||||
|---|---|---|---|---|---|---|---|---|
| P-T | B-C | H-S | J-H | Ham | Tu | Ma | Th | |
| 1 | 1.213 | 0.353 | 0.003 | 2.151 | 0.078 | 0.022 | 0.550 | 8.113 |
| 2 | 0.991 | 0.350 | 0.003 | 1.225 | 0.068 | 0.019 | 0.520 | 8.113 |
| 3 | 0.888 | 0.381 | 0.003 | 0.998 | 0.070 | 0.018 | 0.482 | 8.113 |
| 4 | 0.790 | 0.415 | 0.003 | 0.901 | 0.070 | 0.020 | 0.546 | 8.113 |
| 5 | 0.863 | 0.499 | 0.003 | 0.931 | 0.077 | 0.024 | 0.668 | 8.113 |
| 6 | 0.872 | 0.526 | 0.003 | 0.914 | 0.076 | 0.026 | 0.707 | 8.113 |
| 7 | 0.932 | 0.606 | 0.004 | 0.995 | 0.080 | 0.031 | 0.862 | 0.940 |
| 8 | 0.883 | 0.561 | 0.004 | 0.993 | 0.077 | 0.029 | 0.816 | 0.940 |
| 9 | 0.886 | 0.526 | 0.004 | 1.073 | 0.080 | 0.025 | 0.722 | 8.113 |
| 10 | 0.929 | 0.407 | 0.003 | 1.072 | 0.068 | 0.021 | 0.625 | 8.113 |
| 11 | 1.072 | 0.357 | 0.003 | 1.248 | 0.065 | 0.020 | 0.604 | 8.113 |
| 12 | 1.204 | 0.357 | 0.003 | 2.069 | 0.076 | 0.020 | 0.561 | 8.113 |
| Sd | 0.1353 | 0.0928 | 0.0004 | 0.4329 | 0.0051 | 0.0042 | 0.1192 | 2.792 |
| Mean | 0.9602 | 0.4448 | 0.0031 | 1.2142 | 0.0737 | 0.0230 | 0.6385 | 6.917 |
| CV (%) | 14.089 | 20.874 | 13.547 | 35.653 | 6.948 | 18.254 | 18.671 | 40.363 |
Table 2 Model parameter (α), standard deviation (Sd), mean and coefficient variation (CV) using the least square method
| Month | Models | |||||||
|---|---|---|---|---|---|---|---|---|
| P-T | B-C | H-S | J-H | Ham | Tu | Ma | Th | |
| 1 | 1.213 | 0.353 | 0.003 | 2.151 | 0.078 | 0.022 | 0.550 | 8.113 |
| 2 | 0.991 | 0.350 | 0.003 | 1.225 | 0.068 | 0.019 | 0.520 | 8.113 |
| 3 | 0.888 | 0.381 | 0.003 | 0.998 | 0.070 | 0.018 | 0.482 | 8.113 |
| 4 | 0.790 | 0.415 | 0.003 | 0.901 | 0.070 | 0.020 | 0.546 | 8.113 |
| 5 | 0.863 | 0.499 | 0.003 | 0.931 | 0.077 | 0.024 | 0.668 | 8.113 |
| 6 | 0.872 | 0.526 | 0.003 | 0.914 | 0.076 | 0.026 | 0.707 | 8.113 |
| 7 | 0.932 | 0.606 | 0.004 | 0.995 | 0.080 | 0.031 | 0.862 | 0.940 |
| 8 | 0.883 | 0.561 | 0.004 | 0.993 | 0.077 | 0.029 | 0.816 | 0.940 |
| 9 | 0.886 | 0.526 | 0.004 | 1.073 | 0.080 | 0.025 | 0.722 | 8.113 |
| 10 | 0.929 | 0.407 | 0.003 | 1.072 | 0.068 | 0.021 | 0.625 | 8.113 |
| 11 | 1.072 | 0.357 | 0.003 | 1.248 | 0.065 | 0.020 | 0.604 | 8.113 |
| 12 | 1.204 | 0.357 | 0.003 | 2.069 | 0.076 | 0.020 | 0.561 | 8.113 |
| Sd | 0.1353 | 0.0928 | 0.0004 | 0.4329 | 0.0051 | 0.0042 | 0.1192 | 2.792 |
| Mean | 0.9602 | 0.4448 | 0.0031 | 1.2142 | 0.0737 | 0.0230 | 0.6385 | 6.917 |
| CV (%) | 14.089 | 20.874 | 13.547 | 35.653 | 6.948 | 18.254 | 18.671 | 40.363 |
Figure 1 Daily evapotrans piration (ET) observation and ET simulation on average of years (A)-(G) The fitting prctures of P-T, B-C, H-S, J-H, Ham, Tu and Ma model, respectively. Abscissa represents observation; Ordinate represents simulation; R2 represents goodness of fit.
| Model | RMSE | MBE | R |
|---|---|---|---|
| P-T | 0.456 | 0.355 | 0.953** |
| B-C | 0.458 | 0.342 | 0.917** |
| H-S | 0.453 | 0.343 | 0.927** |
| J-H | 0.512 | 0.399 | 0.911** |
| Ham | 0.439 | 0.332 | 0.925** |
| Tu | 0.476 | 0.362 | 0.910** |
| Ma | 0.467 | 0.348 | 0.913** |
Table 3 Correlation analysis of daily evapotranspiration (ET) observation and ET simulation on average
| Model | RMSE | MBE | R |
|---|---|---|---|
| P-T | 0.456 | 0.355 | 0.953** |
| B-C | 0.458 | 0.342 | 0.917** |
| H-S | 0.453 | 0.343 | 0.927** |
| J-H | 0.512 | 0.399 | 0.911** |
| Ham | 0.439 | 0.332 | 0.925** |
| Tu | 0.476 | 0.362 | 0.910** |
| Ma | 0.467 | 0.348 | 0.913** |
| Coefficient | Obs | Model | |||||||
|---|---|---|---|---|---|---|---|---|---|
| P-T | B-C | H-S | J-H | Ham | Tu | Ma | Th | ||
| Sd | 33.337 | 34.987 | 33.174 | 34.383 | 36.171 | 33.158 | 33.962 | 33.165 | 48.385 |
| Mean | 68.045 | 65.514 | 66.629 | 64.011 | 63.319 | 65.891 | 66.078 | 66.701 | 64.885 |
| CV (%) | 48.992 | 57.858 | 49.790 | 53.714 | 57.125 | 50.322 | 51.397 | 49.722 | 74.570 |
Table 4 Monthly change of evapotranspiration (ET) observation and ET simulation of years (mm·m-1)
| Coefficient | Obs | Model | |||||||
|---|---|---|---|---|---|---|---|---|---|
| P-T | B-C | H-S | J-H | Ham | Tu | Ma | Th | ||
| Sd | 33.337 | 34.987 | 33.174 | 34.383 | 36.171 | 33.158 | 33.962 | 33.165 | 48.385 |
| Mean | 68.045 | 65.514 | 66.629 | 64.011 | 63.319 | 65.891 | 66.078 | 66.701 | 64.885 |
| CV (%) | 48.992 | 57.858 | 49.790 | 53.714 | 57.125 | 50.322 | 51.397 | 49.722 | 74.570 |
Figure 2 Comparison of monthly evapotranspiration (ET) observation and ET simulation of years on average (A) The picture of monthly variation between observation and P-T model simulation; (B) The picture of monthly variation between observation and B-C model simulation; (C) The picture of monthly variation between observation and H-S model simulation; (D) The picture of monthly variation between observation and J-H model simulation; (E) The picture of monthly variation between observation and Ham model simulation; (F) The picture of monthly variation between observation and Tu model simulation; (G) The picture of monthly variation between observation and Ma model simulation; (H) The picture of monthly variation between observation and Th model simulation
| Model | RMSE | MBE | R |
|---|---|---|---|
| P-T | 6.337 | 5.621 | 0.994** |
| B-C | 3.752 | 3.179 | 0.994** |
| H-S | 6.198 | 5.685 | 0.990** |
| J-H | 7.203 | 6.306 | 0.990** |
| Ham | 4.468 | 3.881 | 0.992** |
| Tu | 3.931 | 3.632 | 0.995** |
| Ma | 3.495 | 2.999 | 0.995** |
| Th | 15.559 | 13.436 | 0.992** |
Table 5 Monthly evapotranspiration (ET) observation and ET simulation on average of years
| Model | RMSE | MBE | R |
|---|---|---|---|
| P-T | 6.337 | 5.621 | 0.994** |
| B-C | 3.752 | 3.179 | 0.994** |
| H-S | 6.198 | 5.685 | 0.990** |
| J-H | 7.203 | 6.306 | 0.990** |
| Ham | 4.468 | 3.881 | 0.992** |
| Tu | 3.931 | 3.632 | 0.995** |
| Ma | 3.495 | 2.999 | 0.995** |
| Th | 15.559 | 13.436 | 0.992** |
| Rn | Ts | Ta | RH | Ws | Pvapor | Rainfall | n | |
|---|---|---|---|---|---|---|---|---|
| R | 0.951** | 0.877** | 0.900** | -0.326** | 0.371** | 0.891** | 0.061 | 0.799** |
Table 6 Correlation coefficient (R) of meteorological factor and evapotranspiration (ET) observation under Person correlation test
| Rn | Ts | Ta | RH | Ws | Pvapor | Rainfall | n | |
|---|---|---|---|---|---|---|---|---|
| R | 0.951** | 0.877** | 0.900** | -0.326** | 0.371** | 0.891** | 0.061 | 0.799** |
| Rn | Ts | Ta | RH | Ws | Pvapor | n | |
|---|---|---|---|---|---|---|---|
| R | 0.733** | 0.300** | -0.412** | -0.206** | 0.308** | 0.334** | -0.24 |
Table 7 Correlation coefficient of meteorological factor and evapotranspiration (ET) observation under partial correlation analysis
| Rn | Ts | Ta | RH | Ws | Pvapor | n | |
|---|---|---|---|---|---|---|---|
| R | 0.733** | 0.300** | -0.412** | -0.206** | 0.308** | 0.334** | -0.24 |
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