Environmental Engineering Reference
In-Depth Information
EXAMPLE 16.1.
Uptake and Growth Calculations
Two species of phytoplankton have the following characteristics:
K s
V max
(mg liter 1 )
g liter 1
h 1 )
max (day 1 )
Phytoplankton species
(
Q 0 (g/g)
Anabaena
0.5
3
0.5
0.05
Scenedesmus
0.1
1
0.1
0.01
Problem 1: Which species will be the best competitor for nutrients (i.e.,
have the highest nutrient uptake rates) when nutrient concentrations are
0.01 and 0.5 mg liter 1 ?
The Michealis-Menten equation yields the following results:
0.01 mg liter 1 )
0.5 mg liter 1 )
Phytoplankton species
V (at S
V (at S
Anabaena
0.059
1.5
Scenedesmus
0.091
0.83
The Anabaena will have a competitive advantage at the higher nutri-
ent concentration. The Scenedesmus will have the advantage at the lower
nutrient concentration. The curves for this and the following two problems
are presented in Fig. 16.3.
Problem 2: Which species will have the highest growth rate at [S]
0.01
and 0.5 mg liter 1 ?
0.01 mg liter 1 )
0.5 mg liter 1 )
Phytoplankton species
(at S
(at S
Anabaena
0.0098
0.250
Scenedesmus
0.0091
0.0833
The Scenedesmus has the disadvantage in growth at both substrate
concentrations.
Problem 3: Which species will have the highest growth at a Q of 0.06 and
0.1 g/g?
Phytoplankton species
(at Q
0.06 g/g)
(at Q
0.1 g/g)
Anabaena
0.0
0.25
Scenedesmus
0.08
0.09
The Scenedesmus will have a competitive advantage at the lower cell
quota because the Anabaena cannot grow. The Anabaena will have the ad-
vantage at the higher cell quota.
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