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A e<br />

= 0.39 . S W S<br />

TA + TA ) W (0.39 . W +<br />

e<br />

W TA TA )<br />

e<br />

From (1) and (2): =<br />

(3)<br />

A e<br />

S<br />

TA<br />

For 1999 (default year): = 0.954 and for flat slope the minimum A e = 0.40.<br />

So, from (3) we get W e = 0.957 and from (2) S e = 0.373.<br />

Using W e and S e , <strong>as</strong> they were calculated b<strong>as</strong>ed on 1999’s data, and the relative<br />

are<strong>as</strong> of winter and spring cereals for 1989, 1994 and 2004 we get from (1) A e * for<br />

each of the previous years.<br />

A e<br />

*<br />

A correction factor = is used in order to reproduce the series of export<br />

A e<br />

coefficients according to land slope.<br />

Where: A e<br />

is the export coefficient for the default year, and<br />

A e<br />

* is the export coefficient for arable land representative of the proportion of winter–<br />

spring cereals of the year that data are used in the equation (1).<br />

Second Scenario’s Description and Assumptions<br />

This scenario investigated how sensitive the model is to changes in the P export<br />

coefficients table used in the PLUS application. Specifically, the P loss coefficients<br />

that correspond to arable land, which is one of the biggest contributors to TP in the<br />

lochs, were improved and afterwards the effect that this change had on the model’s<br />

TP calculation, w<strong>as</strong> examined.<br />

Table 1 summarizes export coefficients for arable land, <strong>as</strong> they were collected from<br />

literature research. B<strong>as</strong>ed on the figures listed in Table 1, P export coefficients for<br />

cereals are lower compared with other arable crops.<br />

Table 1:<br />

Summary of P export coefficients from literature review<br />

Land cover type<br />

P (kg/ha)<br />

Min<br />

max<br />

Location<br />

PLUS Arable 0.4 2.0 -<br />

Agriculture (general) 0.1 1.0 Scotland<br />

0.1 6.8 UK<br />

Arable (general) 0.8 2.5 Scotland<br />

0.5 5 UK<br />

Cereals 0.22 0.9 Scotland<br />

0.06 0.9 UK<br />

233

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