106AProblemSet2

106AProblemSet2 - Nina Fitch SID 17849531 106A-Problem Set...

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Nina Fitch 2/12/08 SID# 17849531 106A-Problem Set 2 1) dq/dt= F i +F o + P – C F i =I F o =kq P – C = rq(1 – q/k) = I – kq + rq(1 – q/k) "I=" "k=" "r=" "K=" t 6 0.6 0.8 8 0.01 q(1) = q(0) + (dq/dt) t t q dq/dt 0 0 6 0.01 0.06 6.01164 0.02 0.1201164 6.022580485 0.03 0.180342205 6.03281611 0.04 0.240670366 6.042341851
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5.94 8.80847247 0.002775768 5.95 8.808500228 0.002732419 5.96 8.808527552 0.002689747 5.97 8.80855445 0.002647741 5.98 8.808580927 0.002606391 5.99 8.808606991 0.002565686 2) a) N= nutrients P= phytoplankton population (plants) Z= Zooplankton population dN/dt= rate of change in nutrients in the system dP/dt= rate of change in phytoplankton population dZ/dt= rate of change in zooplankton poplution p m = Primary producer (plants/phytoplankton) mortality g a = grazing efficiency z m = Zooplankton mortality r m = rate of mixing y= respiration coefficient v m = steady state equilibrium constant k s = half saturation constant uptake= v m (N/ k s + N)P = uptake of nutrients by plants/phytoplankton
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106AProblemSet2 - Nina Fitch SID 17849531 106A-Problem Set...

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