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SCHRIFTENREIHE Institut für Pflanzenernährung und Bodenkunde ...

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Y orientation<br />

Chapter 4 Temporal stability of soil moisture and its application in model result validation<br />

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Fig. 4.1. Demonstration of sample grids in the experimental site (example for UG 79). Each<br />

site has an area of 105 m×135 m. Sampling points are spaced every 15 m with a subgrid<br />

spacing of 5 m (Hollow circles donate the field long-term monitoring positions).<br />

Time stability<br />

1985):<br />

δ<br />

δ<br />

i j<br />

i j = ,<br />

,<br />

The mean relative difference (MRD) is expressed as follows (Vachaud et al.,<br />

S − S<br />

1<br />

S<br />

m<br />

i = ∑ m j=<br />

1<br />

j<br />

δ<br />

j<br />

i,<br />

j<br />

where S i,<br />

j is soil moisture at location i (1-100) and time j, and S j is spatially<br />

mean soil moisture at the same time, and δ i, j is the relative difference of the<br />

spatially mean soil moisture,. Subsequently, the MRD δ i are calculated by<br />

averaged δ i, j over the m sampling dates during the considered period for each<br />

location. Following Grayson and Western (1998), sampling locations are<br />

considered to be time stable when δ i is close to zero and the standard deviation<br />

(1)<br />

(2)<br />

69

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