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SCHRIFTENREIHE Institut für Pflanzenernährung und Bodenkunde ...

SCHRIFTENREIHE Institut für Pflanzenernährung und Bodenkunde ...

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Chapter 6 Modeling of Coupled Water and Heat Transfer in Freezing and Thawing Soil<br />

snow and 50% water for temperature equal to zero (Jarvis, 1989). The soil<br />

profile was considered to be 100 cm deep, with observation nodes located at 0,<br />

5, 20, 40, and 100 cm depths. Three soil layers were defined according to<br />

measured and calibrated layered-soil parameters (Zhao et al., 2008). Model<br />

efficiency is evaluated in terms of root mean square error (RMSE), which is<br />

defined as:<br />

RMSE<br />

=<br />

N<br />

1 2<br />

N ∑ Pi<br />

− Oi<br />

)<br />

i=<br />

1<br />

( [13]<br />

where N is the number of observations and Pi and Oi are the simulated and<br />

measured values, respectively.<br />

RESULTS AND DISCUSSION<br />

Soil Moisture and Temperature Regimes<br />

Based on in situ soil water measurements (down to1 m depth), soil water<br />

storage was calculated for the four sites from August 2005 to July 2006 (Fig. 1).<br />

Soil water storage (mm)<br />

140<br />

120<br />

100<br />

80<br />

60<br />

40<br />

20<br />

0<br />

9-Sep 19-Oct 28-Nov 7-Jan 16-Feb 28-Mar 7-May 16-Jun 26-Jul<br />

0<br />

Rainfall<br />

UG 79 UG 99 WG HG<br />

60<br />

9-Sep 19-Oct 28-Nov 7-Jan 16-Feb 28-Mar 7-May 16-Jun 26-Jul<br />

Time (days)<br />

Fig. 6.1. Soil water storage as a function of grazing intensity from August 2005 to July<br />

2006.<br />

Liquid water storage is high in summer but low in winter, which coincides with<br />

rainfall and temperature. Compared with the grazed sites, soil water storage is<br />

higher in the ungrazed sites, indicating grazing reduced the water stored in soil.<br />

Even <strong>und</strong>er soil frozen conditions, it is higher in the ungrazed sites than the<br />

grazed sites, indicating that the volume of unfrozen water is also affected by the<br />

15<br />

30<br />

45<br />

Rainfall (mm)<br />

123

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