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SCHRIFTENREIHE Institut für Pflanzenernährung und Bodenkunde ...

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was estimated from the soil heat flux G [J m -2 h -1 ] as follows (Chung and Horton,<br />

1987):<br />

cm).<br />

G Ts = + T<br />

λ ( θ ) z *<br />

[12]<br />

where Tz* is the temperature measured at the uppermost soil depth, z* (2<br />

Root water uptake was simulated using the model of Feddes et al. (1978).<br />

The maximum rooting depth was considered to be 100 cm, with the highest root<br />

density in the upper 30 cm. The critical pressure heads in the<br />

water-stress-response function of Feddes et al. (1978) were design to be similar<br />

to the ones for grass based on Wesseling (1991), and adjusted for the local<br />

conditions with a value of -1500 kPa for the permanent wilting point.<br />

Water and Heat Flow Simulations<br />

In Zhao et al. (2008), grazing effects on soil hydraulic and thermal<br />

properties have been parameterized by calibrating the model HYDURS-1D,<br />

based on data for evaporation ratio (weighing lysimeter experiments), water<br />

interception (obtained by the model SHAW), and hydraulic parameters<br />

(laboratory-derived hydraulic properties). However, this work was limited to show<br />

the effects of grazing on coupled water and heat fluxes during the growing period,<br />

i.e. unfrozen condition. Here we particularly attend to the snow melt and soil<br />

freezing and thawing processes. For this aim, the current HYDRUS-1D version<br />

including soil frozen module (denoted as freezing model) was modified to<br />

consider the phase changes between water and ice, as well as the surface<br />

energy and water balances. The algorithms in HYDRUS-1D for the description of<br />

soil temperature and water movement during the freezing and thawing process<br />

will be tested and adjusted to the local conditions. To verify the function of<br />

freezing model, the “normal” version without soil frozen module (snow routine)<br />

was also run as a reference. In the algorithm of snow hydrology it was assumed<br />

that all precipitation is in the form of snow when the air temperature (soil surface)<br />

is below -2°C, and in the form of liquid when the air temperature is above 2°C.<br />

There is a linear interpolation between -2 and 2°C, i.e. 50% of precipitation is<br />

122

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