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HIERARCHAL INDUCTIVE PROCESS MODELING AND ANALYSIS ...

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E. Models selected in both experiment 8 and 21<br />

Model F<br />

[<br />

dP [ ]<br />

(<br />

dt = (1 − E ice (t))a 0 e (0.06933∗E T H 2 O(t))<br />

M(t)(1 − a 6 ) − a 9 − a 17<br />

]P −<br />

a 13 P<br />

1 + a 13 a 14 P<br />

} {{ }<br />

Z Grazing Rate<br />

)<br />

Z<br />

dZ<br />

(<br />

dt = a 12<br />

a 13 P<br />

1 + a 13 a 14 P<br />

} {{ }<br />

Z Grazing Rate<br />

)<br />

)<br />

Z −<br />

(a 11 + a 16 Z<br />

dD<br />

(<br />

) (<br />

dt = (1 − a 10 )(a 9 P + a 11 Z) + (1 − a 10 )(1 − a 12 )<br />

a 13 P<br />

1 + a 13 a 14 P<br />

} {{ }<br />

Z Grazing Rate<br />

)<br />

Z − D(a 15 + a 18 )<br />

[<br />

]<br />

dN<br />

dt = E T H2 O<br />

(a 19 − N)a<br />

max<br />

− E T H2 O(t)<br />

20<br />

E T H2 O max<br />

− E T H2 O min<br />

[<br />

−<br />

P<br />

(a 7 12.0107)<br />

[<br />

]<br />

(1 − E ice (t))a 0 e (0.06933∗E T H 2 O(t))<br />

M(t) +<br />

]<br />

a 15 D<br />

(a 7 ∗ 12.0107)<br />

[<br />

]<br />

dF<br />

dt = E T H2 O<br />

(a 21 − F )a<br />

max<br />

− E T H2 O(t)<br />

22<br />

E T H2 O max<br />

− E T H2 O min<br />

[<br />

−<br />

P<br />

(a 8 12.0107)<br />

[<br />

]<br />

(1 − E ice (t))a 0 e (0.06933∗E T H 2 O(t))<br />

M(t) +<br />

[<br />

]]<br />

a 15 D<br />

(a 7 12.0107)<br />

{<br />

F<br />

M(t) = min<br />

(F + a 5 ) , N<br />

(N + a 4 ) , E P UR (t)<br />

(e− a 2 )(1−e −E P UR (t)(1+a 3 e(E P UR (t)e1.089−2.12log 10 (a 1 ) ) )<br />

a 1 ))<br />

}<br />

89

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