Ecoinformatics Problems of the World Ocean - New Ecoinformatics Tools in Environmental Science: Applications and Decision-making - page 288

p function maxima are determined by many characteristics of the water medium,
among which the hydrological heterogeneity between various layers of the water
space is one of the important ones. The results of numerous

field studies show that
there can be four maxima of phytoplankton and by the depth these maxima can
locate from the surface down to 500 m. Of course, in most cases there are one-two
maxima down to 50 100 m.

A theoretical analysis of the Eq. ( 4.25 ) is possible after its simpli

-

cation:

=

dz ¼ F ðÞ p m N ðÞ w ðÞ;

ð 4 :

37 Þ dp

where F, N, and w are the rate of photosynthesis, the zooplankton density, and the
rate of sedimentation, respectively, at a depth z. The concentration of nutrient
elements n(z) is supposed to be taken into account in the form of the function F(z).
The Eq. ( 4.37 ) is linearly related to p, and therefore it will not change if it is
multiplied on both sides by the value

8
<

9
=
; :

Z

z

exp ½ F ðnÞm N ðnÞ

:

0

We have

8
<

9
=

Z

z

exp ½ F ðnÞm N ðnÞ f dp = dz ½F ðÞm N ðÞ p g

: ;

8
<

9
=

0

Z

z

¼ w ðÞ exp ½ F ðnÞm N ðnÞ ð 4 : 38 Þ

: ;

0

and

8
<
:

9
=
;

Z

z

exp ½ F ðnÞm N ðnÞ f dp = dz F ðÞm ½ N ðÞ p g

2 8

<

9
=

3

0

Z

z

4 5

¼ d = dz ð Þ p exp ½ F ðnÞm N ðnÞ ð 4 : 39 Þ

: ;

0