Equations

Question 1

Exponential growth biomass

Answer 1

C(T) = C(0) e^-ut
C(T) = biomass @ T
C(0) = biomass at T=0
u = growth rate

Question 2

Growth rate

Answer 2

u = (lnCt/lnC0)/t
Or fit a straight line to the exponential growth stage to ln (biomass)

Question 3

Gross primary production

Answer 3

Initial - Light/ T

Question 4

Net primary prod

Answer 4

Light- dark / T

Question 5

Respiration rate

Answer 5

Initial- dark /t

Question 6

Water attenuation coefficient (sechi disc)

Answer 6

K= 1.7/secchi depth

Question 7

Irradiance

Answer 7

Irradiance (z) = irradiance (0)e^-kz

Question 8

Light depth%

Answer 8

Light depth % = ln100 - ln1 /k

Question 9

Net community production

Answer 9

Gpp - all resp

Question 10

Critical depth

Answer 10

Dcr= surface irradiance(1-e^-kz) /kz

Question 11

Uptake rate (nutrients)

Answer 11

Max uptake rate x nutrient conc/ nut concentration + KN

Kn= nut conc of Vmax/2

Question 12

Biomass rate of change

Answer 12

Dp/dt = Phyto biomass ( u-g-M)

U = growth
G= grazing rate (zoo)
M = mort rate (sinking/viral lysis)