HIERARCHAL INDUCTIVE PROCESS MODELING AND ANALYSIS ...
HIERARCHAL INDUCTIVE PROCESS MODELING AND ANALYSIS ...
HIERARCHAL INDUCTIVE PROCESS MODELING AND ANALYSIS ...
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Model C<br />
Where,<br />
dP<br />
dt<br />
dZ<br />
dt<br />
dD<br />
dt<br />
dN<br />
dt<br />
dF<br />
dt<br />
=<br />
=<br />
=<br />
=<br />
=<br />
[ [ ]<br />
(1 − E ice (t))a 0 e (0.06933∗E T H 2 O(t))<br />
M(t) (1 − a 5 ) − a 8 − a 16<br />
]P (30)<br />
} {{ }<br />
(<br />
−<br />
(a 12 P 2 )<br />
Z 2 + a 12 a 13 P 2<br />
} {{ }<br />
Z Grazing Rate<br />
P Growth Rate<br />
)<br />
Z<br />
(<br />
(a 12 P 2 )<br />
)<br />
)<br />
a 11 Z −<br />
(a<br />
Z 2 + a 12 a 13 P<br />
} {{ 2<br />
10 Z + a 15 Z (31)<br />
}<br />
Z Grazing Rate<br />
(<br />
)<br />
(1 − a 9 )(a 8 P + a 10 Z 2 )<br />
(32)<br />
(<br />
+ (1 − a 9 )(1 − a 11 )<br />
[<br />
] [<br />
a 14 D<br />
+<br />
(a 6 ∗ 12.0107)<br />
(a 12 P 2 )<br />
Z 2 + a 12 a 13 P<br />
} {{ 2<br />
}<br />
Z Grazing Rate<br />
)<br />
Z − D(a 14 + a 17 )<br />
E T H2 O<br />
(a 18 − N) a<br />
max<br />
− E T H2 O(t)<br />
19<br />
E T H2 O max<br />
− E T H2 O<br />
} {{ min<br />
}<br />
N Mixing Rate<br />
[<br />
]<br />
P<br />
[<br />
]<br />
−<br />
(1 − E ice (t))a 0 e (0.06933∗E T H 2 O(t))<br />
M(t)<br />
(a 6 12.0107) } {{ }<br />
P Growth Rate<br />
[<br />
] [<br />
]<br />
a 14 D<br />
+<br />
(a 7 12.0107)<br />
−<br />
[<br />
P<br />
(a 7 12.0107)<br />
E T H2 O<br />
(a 20 − F ) a<br />
max<br />
− E T H2 O(t)<br />
21<br />
E T H2 O max<br />
− E T H2 O<br />
} {{ min<br />
}<br />
F Mixing Rate<br />
[<br />
]<br />
(1 − E ice (t))a 0 e (0.06933∗E T H 2 O(t))<br />
M(t)<br />
} {{ }<br />
P Growth Rate<br />
]<br />
]<br />
(33)<br />
(34)<br />
{<br />
M(t) = min<br />
F<br />
(F + a 4 ) , N<br />
(N + a 3 ) , (1 − e −E P UR (t)(1+a 2 e(E P UR (t)e1.089−2.12log 10 (a 1<br />
} ) ) )<br />
a 1 ))<br />
} {{ }<br />
Phytoplankton Growth Limitation<br />
58